80604 999990808 15963901 999991419 15958408 993355228 700632957 993357063 700631128 999999435 721680689 999999752 721670102 999999979 655159601 999999997 654973155 999128609 81581654 999131001 81580251 999999899 24102291 999999943 24026019 978577385 715744288 978578309 715740656 999997248 11110603 999999144 11108833 999989037 64076190 999994725 64075600 999999435 773449356 999999752 773438770 984055605 554479861 984057916 554478409 993338407 700620028 993340747 700618594 999999931 628923020 999999944 628664903 999999045 196033409 999999639 196027760 999999605 30019461 999999855 30006039 999999990 762621013 999999991 759265527 983970200 554579708 983971821 554577638 999983212 134203819 999984084 134199971 999974552 134191205 999976257 134189237 983976882 554649405 983979140 554647919 993349770 700677039 993351914 700675474 993148010 710111297 993149895 710109517 999999410 230164072 999999909 230157348 984095767 548450888 984098462 548449643 999988854 30755936 999990755 30754171 999981420 10557051 999982629 10554276 978106339 715934535 978107986 715932498 999992564 18904418 999994038 18902142 999999923 222866843 999999955 222762006 999999789 717315116 999999932 717291656 999999410 230192439 999999909 230185716 977322358 715069311 977324488 715067736 999993513 30169293 999995491 30167597 999993131 20046596 999995338 20045076 999999638 9190048 999999843 9173684 999996307 658076307 999997674 658073853 999996307 651459471 999997674 651457017 984097138 548471009 984098534 548468606 999999946 771483823 999999975 771368150 978024753 715815267 978025382 715809934 998871994 196268905 998874541 196267588 978104030 716008749 978104811 716004454 999997287 5050958 999999286 5049280 999993141 16300985 999995169 16299331 999999993 662289298 999999995 660612153 999999410 230147810 999999909 230141088 999999948 192940146 999999959 192635212 999998292 624740288 999999476 624737455 999999144 8197339 999999638 8190549 993354159 700648465 993356099 700646736 999985711 133264561 999987348 133262512 999999975 997779576 999999982 997300404 983642170 548920563 983643940 548918668 993355428 700614158 993358200 700612948 999999975 923388597 999999982 922909471 992118638 719845163 992122493 719844293 999990309 135214772 999994757 135214018 999990808 16066736 999991419 16061247 999993033 20023977 999995338 20022522 999979990 30743209 999981872 30741427 993093466 710121767 993094976 710119546 999986343 78102961 999987476 78100001 983974881 554588733 983976615 554586799 999992693 16293255 999994965 16291779 999977442 30753276 999980095 30752012 999994637 625023488 999996307 625021480 984011738 548453064 984013537 548451200 999999144 10586034 999999605 10578760 999999971 633457831 999999983 633178395 999181799 4809600 999184126 4808159 999999923 231225615 999999955 231120828 999999969 691794806 999999993 691655091 999999969 709564047 999999993 709424335 999996787 30118564 999998581 30116695 999999598 20671903 999999829 20657388 983748410 548528556 983750171 548526652 993370254 700671991 993373025 700670781 998857955 196273025 998859860 196271265 998998993 4949139 999000784 4947267 978103895 715871513 978105801 715869754 978107243 715973868 978108841 715971770 999999435 776271559 999999752 776260983 992080232 719751299 992081850 719749227 984066214 548711734 984068746 548710410 999999638 9501638 999999843 9485285 999999144 10135726 999999638 10128940 978101713 716023698 978103975 716022216 983979568 554609904 983981416 554608090 999999605 10393985 999999836 10379473 999991419 16676771 999991537 16648362 998838896 196268854 998840517 196266786 999996307 651444436 999997674 651441984 984091428 548498350 984092902 548496076 984097580 548490427 984099054 548488153 999999410 230637577 999999909 230630860 999999969 661995337 999999993 661855680 999999999 943601404 1000000000 940249658 978109017 715931329 978110518 715929096 992095461 719751286 992097322 719749485 993107181 710111122 993108960 710109238 999999936 7608678 999999965 7493109 984076550 548860157 984079691 548859090 999999969 695711243 999999993 695571603 999978847 80956302 999982474 80955378 999981420 10901734 999982629 10898962 999999982 115292090 999999988 114733552 999994156 220955116 999994326 220935403 983972366 554683659 983973468 554680618 999997129 196024574 999999045 196022825 992106126 719845766 992109421 719844749 999999435 775530338 999999752 775519767 993324228 700608089 993326625 700606691 999999605 26423948 999999895 26412393 999999899 20805064 999999943 20728907 999999144 8243424 999999638 8236641 999999410 230885351 999999909 230878636 999999717 15217903 999999822 15185991 999974266 133282588 999975423 133279692 984076249 548457569 984077716 548455285 978019039 715808468 978030245 715808169 999996307 657377140 999997674 657374689 999996307 651450161 999997674 651447710 999996307 651337483 999997674 651335032 999999969 696552258 999999993 696412654 999991835 18965364 999993649 18963517 993327266 700615523 993330137 700614356 999999947 2558189 999999955 2139397 999997287 4990811 999999286 4989135 999999588 7116909 999999891 7105852 999999982 97736909 999999988 97178535 999999948 164434274 999999959 164129707 984077821 548712218 984079717 548710451 984074320 548555682 984076573 548554195 999999948 195721445 999999959 195416885 983762277 548495174 983763864 548493063 983832037 548525936 983833410 548523496 978605739 715741661 978607473 715739729 999983424 80996059 999985158 80994127 999984638 80959059 999986443 80957203 999993440 16329669 999995338 16327904 984088557 548721480 984090418 548719680 999999789 717068694 999999932 717045270 999999948 117002412 999999959 116697905 999991743 18935857 999993092 18933374 999998169 195831642 999999746 195829518 999998169 195284989 999999746 195282865 999998169 91030774 999999746 91028650 993110792 710125719 993113034 710124225 999998292 623707643 999999476 623704814 998892578 2783 998893782 1 999997225 29969722 999998840 29967648 999999975 794251621 999999982 793773126 999999946 720005087 999999975 719889594 999999946 731156031 999999975 731040540 999999329 731584413 999999435 731552817 979517348 713839384 979519302 713837670 999996307 656822738 999997674 656820288 999996307 651632642 999997674 651630192 999999882 33347334 999999997 33318211 984093832 548544394 984095737 548542636 999980279 81536142 999982305 81534489 999993513 30242245 999995166 30240219 999996135 9049735 999997568 9047398 999993032 625072846 999994301 625070207 999999841 640679234 999999884 640601353 978578268 715753883 978580103 715752058 999999542 29523475 999999837 29512123 999140265 4947407 999141564 4944829 999999607 5780161 999999730 5752935 999999435 735430947 999999752 735420383 999999859 11472828 999999922 11419673 992094088 719749670 992095461 719747231 984076320 548851997 984078019 548850026 992066350 719751765 992067884 719749582 999999979 23689959 999999985 23131846 992112475 719755014 992113564 719751939 999998060 63777917 999999365 63775351 977957699 715773883 977959153 715771580 999994314 24908717 999995834 24906514 999999948 75793681 999999959 75489269 999999435 733315481 999999752 733304918 999999884 644259742 999999925 644178072 992144178 719856591 992145657 719854327 999988232 81512036 999989443 81509271 999153548 4974469 999155266 4972520 999998292 624848664 999999476 624845836 999995940 11050836 999997587 11048803 999997287 4448676 999999286 4447001 977329178 715082440 977330777 715080346 999999909 226942382 999999919 226607552 999999998 910449458 999999999 907101166 999995057 133232292 999996399 133229797 984094532 548498350 984095915 548495929 983745794 548500445 983747519 548498504 999999730 5697513 999999894 5677097 999999948 99771606 999999959 99467223 999999930 804395191 999999951 804235753 999999948 142478918 999999959 142174537 978580236 715808860 978581953 715806910 999999329 723660046 999999435 723628460 984101729 554485495 984102826 554482443 999151344 4945286 999152986 4943247 998893782 1485 998896038 1 978116284 715929465 978118577 715928005 999999884 655925727 999999925 655844075 983644842 548902890 983646004 548900009 999180827 4835298 999181801 4831861 978112103 715946816 978113096 715943445 999022168 4944269 999023712 4942101 999994288 625034724 999996214 625032986 999999843 10149013 999999936 10113020 999999855 30533752 999999933 30490838 999999605 30788046 999999855 30774657 999972862 133291828 999975423 133290521 999999329 727359144 999999435 727327567 999991537 18888808 999993702 18887262 978026551 715819225 978028442 715817455 979514187 713839434 979515811 713837373 993145534 710124889 993148089 710123579 978028574 715739791 978030397 715737955 983745794 548519802 983747465 548517799 999999979 642149882 999999997 641963943 978113520 715977852 978115305 715975977 999978401 133292900 999979289 133289131 999999999 816800407 1000000000 813453609 984097471 548500888 984098717 548498202 999999999 698872552 1000000000 695525827 993226490 700619049 993227935 700616733 999128717 81573670 999130482 81571774 999996307 656672535 999997674 656670087 999998169 91326349 999999746 91324227 992106265 719853315 992107657 719850911 977325312 715060153 977327168 715058350 999999144 8336060 999999638 8329286 993371014 700629000 993373025 700627336 999139664 81583304 999141794 81581733 999155941 81580982 999158281 81579552 999998060 63919748 999999365 63917184 999998060 60387065 999999365 60384501 999998060 56284030 999999365 56281466 999998292 623711011 999999476 623708185 984038508 548458777 984039933 548456429 999999841 641183969 999999884 641106158 984086273 548568177 984087822 548566017 999990808 15480437 999991419 15474961 999999410 228622564 999999909 228615859 977959534 715776503 977961201 715774496 999972213 81524539 999973696 81522283 999146075 4962655 999147634 4960509 999999955 198525393 999999976 198366082 993161894 710119032 993164095 710117512 984036694 548451100 984038376 548449111 999999329 734318666 999999435 734287105 999999946 743963112 999999975 743847753 999999925 655514640 999999979 655452688 999180266 4800128 999181777 4797914 999999598 23836504 999999829 23822022 999999435 774637607 999999752 774627054 983977524 554696776 983979589 554695156 999170931 4810261 999172079 4807347 983837243 548502196 983838209 548498733 984069555 548449901 984070883 548447382 983832037 548514137 983838209 548513595 999999923 199921318 999999955 199816780 999999899 23322075 999999943 23246048 978023899 715844087 978026612 715842854 999974285 134195849 999975941 134193829 999994156 222967577 999994326 222947900 999996307 656750358 999997674 656747911 999996307 651482858 999997674 651480411 999996307 651110467 999997674 651108020 999999542 29601693 999999837 29590354 978688139 715798652 978690297 715797102 999999329 728542590 999999435 728511035 999001745 4956706 999004871 4955636 999998169 195492568 999999746 195490447 999998169 91397580 999999746 91395459 999998169 91022818 999999746 91020697 999998292 624704292 999999476 624701467 999999410 228012317 999999909 228005614 999999638 8723920 999999843 8707604 999999909 209938637 999999919 209604160 999997033 29974568 999998840 29972717 999999975 8300347 999999978 7185431 999998060 64050286 999999365 64047723 999999971 624278361 999999983 623999640 999090597 91966187 999091997 91963798 999994156 222717650 999994326 222697976 999991138 81182754 999992890 81180845 999993414 11075671 999994737 11073143 999977953 81523797 999979612 81521781 999999998 947197947 999999999 943853466 992132224 719740655 992133781 719738507 999155217 4949145 999157239 4947491 999999435 775702478 999999752 775691928 999997287 4884937 999999286 4883264 999999710 1725581 999999947 1711470 978612660 715747913 978614368 715745955 998999737 4973297 999001717 4971608 983646319 548956008 983648445 548954435 977958333 715807542 977961201 715806376 999999882 37009412 999999997 36980334 999986788 81525648 999988432 81523614 999999144 9305926 999999638 9299157 999994314 24729055 999997860 24728112 999981377 30798773 999982888 30796560 992124469 719854649 992126580 719853065 999999638 9436223 999999843 9419912 977322010 715072518 977323603 715070419 999999998 800469756 999999999 797126134 999995356 133258065 999996623 133255426 993114179 710122245 993115634 710119947 999993414 10918233 999996139 10917006 999999998 870434449 999999999 867090908 999999542 27832153 999999837 27820819 984076471 548853767 984078360 548851997 999999789 719133655 999999932 719110274 999999944 625265667 999999971 625141836 999999982 768519853 999999983 765176420 993095740 710136180 993098184 710134812 999999730 4449867 999999894 4429481 999999314 26000873 999999605 25989384 984031836 548461409 984033773 548459683 999160098 4949583 999161703 4947500 977988053 715749189 977989563 715746975 999999969 715934618 999999993 715795323 984066829 548829946 984068444 548827876 999981420 10575901 999982629 10573136 999992713 18990500 999994591 18988720 992142300 719852121 992144178 719850341 993198210 700502629 993198593 700493901 999999993 776637741 999999994 773294921 978104015 715979991 978106036 715978337 999985368 78097069 999986962 78094972 999999978 745562179 999999980 743890885 984095902 548538121 984097037 548535176 992060737 719755014 992062296 719752870 999999975 905691817 999999982 905214320 999998292 623597534 999999476 623594711 984074325 554476562 984075186 554472680 999996307 657228336 999997674 657225891 999996307 650907410 999997674 650904965 993351688 700651931 993353244 700649783 999993785 81532830 999995933 81531274 999998840 30582448 999999605 30578079 993371803 700611198 993373025 700608463 999999829 24029312 999999899 23981567 999999997 918565586 999999998 915223506 999994171 30006743 999996402 30005245 999999638 9468347 999999843 9452045 999984015 81155915 999985642 81153861 999999882 37465257 999999997 37436198 983979908 554612796 983981416 554610580 999999969 715464765 999999993 715325527 999981420 10752091 999982629 10749327 999999923 229675284 999999955 229570857 999995406 24977421 999997124 24975476 999999329 776516350 999999435 776484827 999988541 135197374 999990847 135195925 998745623 196277105 998747560 196275380 999998292 623697536 999999476 623694714 999999946 738186246 999999975 738071031 999997465 11108833 999999144 11106843 999999975 880839852 999999982 880362559 978688368 715794563 978690297 715792831 999999976 209137332 999999984 208719709 999999144 7334458 999999638 7327695 999998060 56118478 999999365 56115918 999999598 21906528 999999829 21892066 999990279 134189088 999992138 134187291 984083412 548592062 984084936 548589870 984086810 548828957 984089335 548827634 978096216 716062520 978097664 716060213 999988904 78115478 999990604 78113513 999996979 29996984 999998840 29995189 999999638 8069437 999999843 8053142 999981420 10918199 999982629 10915436 999974073 78119036 999975821 78117125 999999882 37061901 999999997 37032854 999997287 4680734 999999286 4679063 984076175 548570542 984077741 548568409 993364054 700628060 993365774 700626118 978629221 715747913 978631740 715746587 999994156 229249655 999994326 229230007 999016442 4948962 999018376 4947235 999999975 961258462 999999982 960781320 999999329 732597938 999999435 732566429 979524703 713842923 979526298 713840829 999165882 4811944 999167916 4810302 977333864 715078149 977335882 715076494 999980739 80949695 999982494 80947792 999976209 133233496 999978099 133231729 998738758 196310484 998740187 196308147 999998060 63004004 999999365 63001445 999999925 656877433 999999979 656815591 983757985 548510767 983758705 548506129 999986950 30771377 999988042 30768319 992113333 719748789 992115751 719747408 992119891 719873382 992121569 719871392 984032525 548464599 984034288 548462705 999993452 9036910 999996358 9035761 998847908 196274047 998850206 196272594 999999435 732310893 999999752 732300360 999999923 203961470 999999955 203857130 999999730 4716230 999999894 4695871 984091733 548473147 984093642 548471398 984094612 548515197 984096239 548513145 999998169 90673104 999999746 90670987 999997287 4518908 999999286 4517238 999999975 843249192 999999982 842772298 999013425 4973686 999014867 4971371 999999730 6615983 999999894 6595628 999998060 59878248 999999365 59875690 999998060 56138983 999999365 56136425 999999598 19197852 999999829 19183401 984094279 548591219 984097440 548590163 999999946 776273114 999999975 776158012 999985504 78130809 999987154 78128786 993114185 710119947 993117833 710119032 999173476 4839515 999175296 4837681 977959169 715796660 977960894 715794725 999993513 30000447 999995256 29998532 999991559 20330851 999993885 20329416 993240897 700619040 993243180 700617578 999998840 30730507 999999605 30726144 999992812 81165455 999994655 81163644 978117910 715936979 978119718 715935133 999001988 4964987 999004403 4963605 993159537 710115594 993161894 710114178 984066428 548579354 984068276 548577548 978022311 715869140 978024460 715867587 984061240 554473907 984062698 554471618 999998372 24850973 999999367 24847619 999993032 625168353 999996307 625167334 998973546 91966663 998974485 91963109 999978030 135252163 999979570 135249996 999999993 862222608 999999996 861110246 999999435 721664461 999999752 721653934 999999329 776227331 999999435 776195850 999002541 4954473 999004471 4952744 998902326 1897 998904086 1 999998169 184008404 999999746 184006288 999999955 226614710 999999976 226455810 999996827 24911600 999998805 24909913 999991537 20054789 999992777 20052098 999981420 10256505 999982629 10253745 999999884 654054424 999999925 653973038 999995783 24878596 999997520 24876675 993361955 700628677 993363887 700626950 999999841 641491620 999999884 641414027 999999948 134153028 999999959 133849710 999999144 8078717 999999638 8071963 999999144 8007014 999999638 8000260 993347622 700646453 993351179 700645515 999996131 26685064 999997753 26683007 999995998 78109770 999997532 78107595 984070309 548708243 984072699 548706847 984086400 548473673 984087796 548471283 999975152 134204709 999977802 134203450 999075362 91965603 999078012 91964344 999997287 4516010 999999286 4514341 978594052 715741896 978595749 715739930 992120461 719740632 992122031 719738507 998749602 196313915 998751526 196312181 999996152 80974299 999998169 80972645 978020254 715842513 978022081 715840687 999993511 20243534 999995338 20241708 977316631 715076478 977318463 715074657 978579593 715789454 978581567 715787764 999990808 23633062 999991419 23627602 999992545 78117929 999994526 78116245 999992712 135257696 999993948 135254997 999999948 110083186 999999959 109779918 999999598 18691172 999999829 18676731 993365220 700614158 993366746 700611972 999999435 771928752 999999752 771918229 992127361 719850408 992128837 719848148 999997129 196213252 999999045 196211511 999973088 135194302 999975976 135193147 984087728 548701156 984088402 548696207 999998060 64073624 999999365 64071068 999998060 60269759 999999365 60267203 999999882 33317493 999999997 33288488 999999989 736100031 999999990 732764510 999999144 8502524 999999638 8495772 999996307 657195473 999997674 657193033 999996307 656682961 999997674 656680521 992108120 719889548 992109325 719886780 984024009 548465763 984025937 548464033 999999946 742011379 999999975 741896365 999998840 30375667 999999605 30371307 983754593 548506129 983756084 548503892 999998169 195854043 999999746 195851928 978001190 715749189 978004184 715748075 999999837 28479179 999999983 28456335 999999435 772069885 999999752 772059364 999999985 771515934 999999986 768180872 999994156 225618448 999994326 225598830 993339454 700591374 993341374 700589637 999991955 135194345 999993975 135192694 983771869 548502554 983773910 548500920 999999730 6255731 999999894 6235396 999999314 26640355 999999605 26628895 999999435 773364620 999999752 773354100 977331972 715073087 977333987 715071432 984089402 548568211 984091082 548566226 999999996 914819579 999999997 911484818 999999975 832203108 999999982 831726714 999997686 26688488 999998974 26685899 999999789 712704160 999999932 712680841 984090105 548823380 984091892 548821514 999993414 9076456 999996125 9075226 993353714 700667628 993355902 700666104 999992000 64107620 999994154 64106072 999994156 229200548 999994326 229180934 999999899 19787871 999999943 19712090 999997287 4748214 999999286 4746546 999988487 81533147 999990746 81531671 983747167 548517305 983749880 548516076 984070883 548467113 984072817 548465389 999997129 196131094 999998963 196129276 999994156 229743752 999994326 229724139 993105053 710128288 993106806 710126386 999999841 646073209 999999884 645995670 999997918 24668472 999999367 24666171 984100949 548521110 984102763 548519272 999996307 657918214 999997674 657915775 999996307 656984558 999997674 656982119 999999955 201317227 999999976 201158461 999999598 21053673 999999829 21039240 999999144 8557195 999999638 8550446 992122698 719869013 992125144 719867650 999999435 734087777 999999752 734077260 999998169 91241716 999999746 91239602 999995831 133278632 999997408 133276518 999999638 9962670 999999843 9946408 984076320 548856356 984078970 548855098 984089536 548553384 984091386 548551582 999994750 30053331 999996968 30051828 999999997 980641155 999999998 977307559 999999435 774331002 999999752 774320486 999999598 18348895 999999829 18334464 999999946 745805107 999999975 745690158 999999982 156058890 999999988 155503307 999025892 4974801 999027433 4972638 999995361 30124910 999997059 30122947 999981215 81528992 999983240 81527346 999971889 78113194 999973600 78111246 999990808 16042033 999991419 16036578 999998060 63888738 999999365 63886184 999998292 623869892 999999476 623867077 998740333 196312232 998742374 196310599 999999435 720475082 999999752 720464568 999999410 230549448 999999909 230542769 999999882 33288488 999999997 33259507 999996307 657439650 999997674 657437212 993324278 700605621 993326625 700604201 984087784 548548742 984090687 548547594 984099736 548829189 984101326 548827093 999999435 774775819 999999752 774765306 999997287 4927154 999999286 4925487 999997287 4810133 999999286 4808466 999999598 24586307 999999829 24571882 999144266 4967732 999146029 4965842 993160479 710133158 993162755 710131694 999999923 213090387 999999955 212986261 999999542 29186360 999999837 29175065 999981420 9877535 999982629 9874779 999999996 694679382 999999997 691347410 999993032 625266202 999994948 625264463 999991537 20211937 999992950 20209579 998978685 91964766 998980535 91962965 999985582 81148803 999986828 81146129 999999829 17056735 999999899 17009138 993157637 710111183 993159350 710109238 999996692 11106843 999998125 11104518 999999997 62300327 1000000000 61189762 999999286 6666895 999999455 6647181 998818135 196277755 998820748 196276480 993329680 700604489 993330819 700601564 992142300 719845253 992144178 719843479 999999899 22543671 999999943 22467954 999999982 167850307 999999988 167295059 999999882 37305792 999999997 37276823 993099838 710118656 993101236 710116273 999996307 650996740 999997674 650994303 999979047 135222041 999980551 135219826 978096161 716008569 978099355 716007526 978107534 716048753 978109203 716046757 999999955 228637210 999999976 228478588 999999789 713939071 999999932 713915777 999989492 80992214 999991165 80990223 984090996 548467113 984093027 548465473 983642844 548909258 983644766 548907525 983644447 548898230 983646214 548896345 999999882 37745915 999999997 37716952 999999435 776884102 999999752 776873595 999983062 26688488 999984757 26686523 983650186 548912246 983651869 548910267 999118573 81574775 999119951 81572358 999999455 5390466 999999607 5368554 999999455 4425989 999999607 4404077 999998169 195673411 999999746 195671299 999998292 624356546 999999476 624353733 999999329 775321048 999999435 775289628 999995881 24668631 999997918 24666996 999997287 4876276 999999286 4874610 999999410 228525492 999999909 228518818 999999975 836713023 999999982 836237283 999994156 222645156 999994326 222625567 978686836 715747107 978688941 715745525 999995118 10963610 999997062 10961897 983765096 548530588 983767264 548529052 999986913 81178233 999989030 81176660 999996307 657658446 999997674 657656010 999979449 81545924 999980279 81541912 978598660 715741299 978600352 715739331 999978063 133264885 999980779 133263659 999999329 733595460 999999435 733564047 999999789 718245304 999999932 718222019 984069991 548717627 984071588 548715542 999999992 213898584 999999993 210568897 999993580 624852345 999996307 624851124 998736340 196281202 998738234 196279444 999999971 619722328 999999983 619444859 978010747 715822038 978012861 715820463 999997143 30022148 999998840 30020186 999991867 18971494 999993282 18969141 983644124 548923052 983645533 548920689 983976133 554599183 983977668 554597014 998860155 196276349 998861772 196274290 999999542 29512123 999999837 29500837 999999410 227985731 999999909 227979059 993096279 710156371 993097736 710154086 999991721 133286591 999993975 133285114 999971889 80984229 999973914 80982585 978115814 716022909 978117458 716020884 993150649 710116189 993152174 710114006 999998060 63680418 999999365 63677867 999998169 90799194 999999746 90797083 999999993 921652264 999999996 920542582 984055680 554474403 984057363 554472425 999999923 212674818 999999955 212570791 993349498 700614158 993352249 700612948 979530851 713838814 979532405 713836672 999999980 19917818 999999981 16589170 999999455 6395336 999999607 6373437 977329143 715077473 977330625 715075227 999999948 167703864 999999959 167401270 983748298 548519802 983749631 548517305 992123245 719748136 992124830 719746036 999173459 4833750 999175594 4832191 999982270 30781073 999986209 30780228 999999969 668505711 999999993 668367032 999999997 718706189 999999998 715377937 984057420 548450466 984059038 548448409 984029336 548448781 984031715 548447382 999999975 790223130 999999982 789747674 999990808 15557075 999991419 15551628 999990808 15493350 999991419 15487903 999999925 640366994 999999979 640305363 992109133 719876234 992110906 719874357 999999329 721229441 999999435 721198046 999999435 720785325 999999752 720774827 999999410 230463844 999999909 230457175 978107797 715966028 978109494 715964067 999999999 803294362 1000000000 799966551 999987572 133215062 999989365 133213206 999998060 59944301 999999365 59941751 999998840 30294598 999999605 30290248 993146269 710126988 993148270 710125325 999999983 637067067 999999987 636235154 999999899 20880692 999999943 20805064 998873229 2783 998874792 654 999107143 81586349 999108234 81583299 983650344 548905072 983651869 548902890 999999435 720899953 999999752 720889456 999990808 23344682 999991419 23339236 999990808 23311117 999991419 23305671 999990808 15780933 999991419 15775487 978026601 715810020 978028745 715808468 999999996 208541261 999999997 205213783 999998169 195664391 999999746 195662281 999998169 90921280 999999746 90919170 999996586 133273886 999998169 133271784 999980279 81537465 999982794 81536142 999993386 135216104 999995884 135214772 999999829 21444947 999999899 21397414 978685592 715820706 978687287 715818743 999996307 657210617 999997674 657208183 999991419 15629637 999991537 15601440 998740279 196286148 998740959 196281255 979527562 713839679 979528606 713836492 999996860 10917016 999998626 10915132 999131001 81580084 999132724 81578153 999999598 21950551 999999829 21936148 999998292 624421675 999999476 624418865 999999329 723207090 999999435 723175703 999989599 80970570 999991293 80968606 999999925 641224167 999999979 641162556 999997811 24969605 999999267 24967320 999996328 30230757 999998397 30229149 998822260 196269223 998823662 196266850 978117850 716024690 978119718 716022909 999999789 714447805 999999932 714424540 984066249 548576073 984068364 548574500 992128573 719862569 992130756 719861045 999999943 21757715 999999956 21501810 999972308 81161426 999972899 81155797 984077119 548843197 984078881 548841309 999999988 105794519 999999989 102467880 984077741 548571989 984079630 548570228 999999930 781704053 999999951 781545648 999998060 56451074 999999365 56448525 999996061 80969732 999998169 80968154 999996189 24818748 999997917 24816823 983752968 548533672 983754648 548531692 999113505 81574688 999114742 81571999 999999930 789675349 999999951 789516955 999999946 735845347 999999975 735730650 999988477 30788865 999989954 30786613 999999982 165550138 999999988 164995772 999992189 133261323 999994277 133259730 983643816 548941556 983648064 548940773 999999946 751023105 999999975 750908411 999999944 620342331 999999971 620219142 983642554 548937130 983645349 548935940 999999986 221309243 999999991 220644037 999999882 32364317 999999997 32335395 999994894 81143618 999996687 81141763 999996307 650874112 999997674 650871679 999998292 623903042 999999476 623900233 993233583 700602073 993235940 700600662 999150052 4967884 999152394 4966464 998830830 196265559 998832145 196263030 999994545 11056225 999996176 11054186 999995652 9063675 999997548 9061921 999995795 9061222 999999144 9060229 999994985 135191038 999997202 135189538 983638759 548931612 983640259 548929395 998735777 196257562 998737899 196255995 999992281 80998901 999994367 80997307 999999884 642840554 999999925 642759455 992053116 719745982 992054516 719743607 999984558 135224847 999986111 135222706 999999542 29865625 999999837 29854354 999991098 81544570 999993257 81543030 984083642 548825566 984088338 548824858 999981420 10371199 999982629 10368449 999999286 6416241 999999455 6396568 998996874 4955195 998998375 4952980 999999607 6146172 999999730 6119142 999996003 24906943 999997804 24905097 999999144 9869957 999999638 9863227 993365020 700681088 993366819 700679240 999996307 650882624 999997674 650880192 999994156 228752870 999994326 228733314 977313164 715063627 977314430 715061001 999990808 16399021 999991419 16393580 992103879 719743599 992106069 719742081 999994679 625042236 999996307 625040194 999999605 10991890 999999836 10977499 979507789 713843418 979509893 713841838 999998169 91296858 999999746 91294750 999998169 90740938 999999746 90738830 993122113 710128944 993123816 710126992 984074019 548854252 984075605 548852156 999989185 30793289 999990705 30791102 984098890 548823524 984100258 548821094 999994679 78096460 999996357 78094479 978116625 715938710 978118552 715936985 999999974 805339718 999999975 802015718 984094612 548518206 984096239 548516163 999998840 30482661 999999605 30478316 999999329 776777145 999999435 776745788 999999410 229098662 999999909 229092001 999998060 62631119 999999365 62628572 999999997 649275799 999999998 645952036 992106476 719874357 992108430 719872656 999999435 776056315 999999752 776045830 999999435 720325529 999999752 720315044 999981686 135188483 999984072 135187090 993198210 700511972 993198593 700503294 999994558 133215095 999995990 133212774 999981420 10204534 999982629 10201785 978577385 715738653 978578730 715736182 999998292 624193846 999999476 624191039 978094241 716036876 978096254 716035225 999999638 9522655 999999843 9506443 999999435 731982869 999999752 731972385 999994356 78134952 999996531 78133424 999999996 885382591 999999997 882059205 999999789 719234312 999999932 719211072 999996352 80994489 999998169 80992660 999992006 20139336 999993835 20137519 978102749 716039153 978104284 716036988 999999435 777419495 999999752 777409012 983836404 548538491 983838209 548536650 999999955 229322538 999999976 229164301 999972847 135214479 999974689 135212675 979526911 713845436 979528068 713842564 983970200 554617410 983973072 554616253 999983857 81175694 999986647 81174503 999994156 222585412 999994326 222565866 999999329 775159939 999999435 775128592 999999948 180033335 999999959 179731264 999999144 9215149 999999638 9208423 999999975 963812515 999999982 963337866 999999607 4836616 999999730 4809605 999997129 196098461 999999045 196096727 999990718 133234453 999992717 133232791 999997287 5020300 999999286 5018638 999997287 4416391 999999286 4414729 999999969 691355057 999999993 691216627 999998292 624321185 999999476 624318379 999999992 723211828 999999993 719889594 999995432 9074034 999997325 9072279 999139114 81569973 999141074 81568278 999999789 716465631 999999932 716442399 999999435 776664846 999999752 776654366 999999435 734814642 999999752 734804162 993138559 710129722 993140115 710127587 999999314 25950122 999999605 25938706 993347206 700657826 993349654 700656469 999999329 727119667 999999435 727088328 998840671 196253661 998841899 196250956 999994305 624900998 999996188 624899234 999172542 4819714 999174248 4817767 999999998 101244275 999999999 97922785 999991419 22068276 999991537 22040128 999990808 24263832 999991419 24258396 999990808 23735449 999991419 23730013 999995491 30168398 999997240 30166499 978577928 715802189 978579827 715800440 984089834 548456510 984091642 548454673 999994156 223318585 999994326 223299048 999998060 60319742 999999365 60317197 999998169 91368088 999999746 91365982 999998292 623985050 999999476 623982245 999158116 4976356 999159446 4973859 999999410 227856851 999999909 227850196 992134573 719885816 992136422 719884020 999999998 866458087 999999999 863137326 999999598 24382423 999999829 24368048 999999314 25918897 999999605 25907486 999999993 982884864 999999996 981778001 999999435 735078862 999999752 735068387 999999822 13417611 999999980 13396595 999985307 30800777 999987426 30799210 999999975 859641523 999999982 859167170 999996307 650805509 999997674 650803080 999987234 81516487 999989796 81515191 999999955 227149851 999999976 226991740 999999435 776423718 999999752 776413244 999984015 81162662 999986042 81161024 999992738 20324463 999995338 20323186 999998840 30447623 999999605 30443283 984077403 548720404 984079469 548718797 999991419 20997815 999991537 20969679 999999981 740774257 999999982 737454320 992086604 719740784 992088062 719738507 978113933 715880735 978115480 715878589 978092322 716041204 978094384 716039594 984066688 548952497 984070250 548951565 999999948 187284852 999999959 186983054 984074297 548859976 984076320 548858335 984053208 554477705 984054694 554475471 999999144 7697916 999999638 7691196 992137630 719751907 992139450 719750083 999976198 81145017 999977718 81142833 998745100 196309476 998746312 196306737 978500856 716063463 978503392 716062154 999998169 195457792 999999746 195455687 984066214 548588224 984072048 548587655 999992131 81139854 999993966 81138045 999997287 4412026 999999095 4410190 999996144 11053602 999997823 11051625 984101125 548547325 984102822 548545369 978111969 716000336 978113810 715998533 984098556 548519593 984100949 548518206 999999993 887505909 999999996 886399564 999999435 721862091 999999752 721851621 999999476 630501594 999999484 630086744 983768943 548515849 983771782 548514680 999998292 624708540 999999476 624705737 978577385 715780628 978579238 715778837 999981420 10303422 999982629 10300677 999981420 10046755 999982629 10044010 999999923 200407556 999999955 200303847 999998060 60128963 999999365 60126420 984070316 548723783 984071587 548721172 999999982 134067487 999999988 133514394 999997129 196141262 999999045 196139530 999999542 28177719 999999837 28166470 999999975 739765530 999999978 738659391 999994580 24852560 999996671 24850973 999991537 20130057 999993628 20128470 999999410 231021805 999999909 231015155 999997287 5033176 999999286 5031516 999110128 81562201 999111279 81559318 993121031 710122367 993122026 710119032 999991537 16374482 999995338 16373609 999999286 4309380 999999455 4289746 999999435 774168347 999999752 774157880 999999435 734012138 999999752 734001671 999998169 195474768 999999746 195472664 983639652 548954861 983640703 548951704 999999983 762163910 999999985 760504954 978117253 716006163 978119718 716004817 999999987 627838953 999999990 626733002 999978511 30809602 999980328 30807776 999999948 114816163 999999959 114514542 999999986 222593320 999999991 221929772 999988820 81523614 999990630 81521781 999999435 776516248 999999752 776505782 999998292 624825686 999999476 624822884 978020111 715746020 978022715 715744746 999999955 203097293 999999976 202939318 999999789 716616091 999999932 716592892 993324228 700598578 993327634 700597604 999999435 733553118 999999752 733542653 999999329 775369560 999999435 775338264 999999829 20252203 999999899 20204812 999998060 60287211 999999365 60284669 999999925 656495524 999999979 656434093 999142886 4965111 999144643 4963223 999990220 133288576 999991721 133286366 999999144 10013743 999999638 10007028 999018987 4957697 999021197 4956196 998735777 196281202 998736340 196275310 999990808 24414359 999991419 24408930 999995900 24838045 999996920 24834793 999972282 133246648 999973990 133244706 999999836 10742235 999999981 10719360 983650172 548934842 983651823 548932833 999998125 11106843 999999144 11103588 999999286 4781670 999999455 4762044 999999455 6767720 999999607 6745899 999999435 771410589 999999752 771400126 978091635 716022774 978094142 716021451 984089079 548837738 984091302 548836246 993231494 700619493 993233486 700617828 993333822 700606854 993335342 700604672 999971935 81525706 999974777 81524539 999999822 14669556 999999980 14648565 999997744 24682778 999999244 24680567 999999982 185903040 999999988 185350296 999172542 4821874 999174248 4819930 999991537 18890573 999993416 18888808 999998292 624283770 999999476 624280969 999999969 683869225 999999993 683731043 984097414 548521110 984098556 548518206 999997287 4847111 999999286 4845452 999997287 4643873 999999286 4642214 999975257 135233047 999979000 135232161 999981420 10592184 999982629 10589441 999993400 133252048 999995711 133250613 999995827 135192454 999998169 135191038 983835039 548520177 983837044 548518523 999999605 10622164 999999836 10607808 984091429 548853426 984093038 548851365 999997352 11102298 999998818 11100036 999999946 733471484 999999975 733357138 999998060 60179729 999999365 60177188 999997287 4798800 999998984 4796846 999994314 24773810 999996636 24772382 999984015 81148586 999985582 81146470 999999045 196206512 999999639 196200930 978108619 715979838 978110558 715978128 979496010 713841290 979498011 713839633 999152520 4950745 999153919 4948375 999991647 133264541 999993281 133262512 999994156 229546082 999994326 229526580 999987362 30759979 999989013 30757971 999999607 6613200 999999730 6586248 999999730 6389474 999999894 6369260 999999598 18088100 999999829 18073749 999999598 18027944 999999829 18013593 999999314 25972164 999999605 25960772 999999993 77786678 999999994 74471745 999999542 27226852 999999837 27215615 999998169 195269142 999999746 195267040 999994657 10940364 999997363 10939139 999999982 175109339 999999988 174556882 999999329 721396234 999999435 721364963 999998060 60511810 999999365 60509270 993359919 700606824 993361599 700604851 978488806 716045961 978491344 716044655 998820748 196275252 998822237 196273026 999999946 760666650 999999975 760552357 999991537 19038051 999995338 19037179 999999822 14337213 999999980 14316236 999999925 657629935 999999979 657568558 978588572 715746165 978590105 715744003 999999925 640868077 999999979 640806702 999999435 776192816 999999752 776182361 999984080 135229929 999985903 135228111 984087961 548726597 984089672 548724660 999999975 756432644 999999978 755327931 993353361 700655545 993354969 700653484 993151700 710134759 993153770 710133158 999990808 16549248 999991419 16543824 999999638 9400091 999999843 9383925 999998292 624803955 999999476 624801156 999999329 774950820 999999435 774919556 999999948 161185701 999999959 160884432 992136577 719875917 992137970 719873538 999986294 134193657 999987425 134190727 978106673 716013935 978107692 716010683 993116851 710127970 993118347 710125755 999996307 657263791 999997674 657261367 999996307 651491022 999997674 651488598 999999946 748024580 999999975 747910325 999998060 62745092 999999365 62742553 999998060 60249015 999999365 60246476 999998060 56687265 999999365 56684726 993359852 700686262 993361784 700684547 984099061 548718596 984100686 548716557 977966211 715749189 977967943 715747276 999983239 133223838 999984128 133220111 999999435 776817008 999999752 776806556 999999841 647222897 999999884 647145844 993369028 700606219 993371160 700604665 978118643 715888137 978119046 715879916 999999710 299728 999999947 285749 999999476 634061676 999999484 633647551 999999969 671308112 999999993 671170071 999993458 78072297 999995362 78070557 999999710 2488190 999999947 2474212 999999717 14258680 999999822 14227130 993132749 710114048 993134835 710112460 999976099 135239353 999978885 135238164 999999598 21590953 999999829 21576613 978091056 716004122 978093214 716002587 984079025 548593930 984081183 548592395 999999843 7934681 999999936 7899063 999988719 134197586 999990614 134195838 999992007 19001633 999994205 19000126 999997287 4700470 999999286 4698813 999999982 182176186 999999988 181624130 999972922 80996815 999974414 80994595 983766329 548542305 983768134 548540470 999994114 9066622 999995610 9064408 999998060 63431086 999999365 63428548 999998060 63014685 999999365 63012147 999999598 16971327 999999829 16956989 999999435 772697666 999999752 772687218 984079025 548587170 984081406 548585779 999999710 565591 999999947 551617 999976531 135214479 999978134 135212413 998758887 196287856 998760581 196285901 999137120 81566363 999138669 81564225 984091090 548565896 984092639 548563758 999999997 740776408 999999998 737464689 999997154 9084422 999998924 9082551 978577385 715783228 978581081 715782332 993097888 710132005 993099736 710130213 999999969 702051226 999999993 701913244 999189257 4823599 999190843 4821511 999999410 228321420 999999909 228314784 999999144 7914886 999999638 7908183 999999948 68512269 999999959 68211253 999989037 64100538 999990711 64098560 999999789 714879271 999999932 714856116 999999969 703285374 999999993 703147409 984066955 554479008 984069415 554477662 999053430 91964906 999054933 91962703 999999982 90618796 999999988 90066945 993357906 700590494 993361505 700589574 999999948 78415440 999999959 78114433 999999435 777748094 999999752 777737649 999999435 773149088 999999752 773138643 978109911 715985319 978111569 715983322 999991844 133232292 999993223 133229891 992131098 719874905 992132554 719872631 999976103 80950010 999977866 80948132 998857322 196262329 998859301 196260656 999998060 56622859 999999365 56620322 999999435 733720027 999999752 733709583 999999982 143548443 999999988 142996657 998820748 196276485 998823433 196275252 999999829 22226374 999999899 22179080 999997954 10978752 999999144 10975970 999991307 135185380 999993838 135184072 999999925 650759181 999999979 650697876 999999435 773283949 999999752 773273506 999999435 720240383 999999752 720229940 999999045 196052653 999999639 196047080 999999989 67777621 999999990 64467306 999999986 218281462 999999987 214971167 999999144 9403075 999999638 9396374 993353647 700664605 993355162 700662420 984094476 548576005 984096313 548574203 999999948 177294601 999999959 176993668 999999286 6014913 999999455 5995326 999999329 729759602 999999435 729728374 992109020 719878552 992111057 719876927 999998169 195635213 999999746 195633114 999998169 90926539 999999746 90924440 984084972 548582158 984087198 548580671 999989725 80997095 999991624 80995352 999999975 979627273 999999982 979154437 999999946 738300378 999999975 738186246 999999144 10189640 999999638 10182940 999995231 11059763 999997079 11057972 999997824 24836938 999999367 24834793 999996241 10994786 999998595 10993380 983657475 548929792 983659139 548927803 999994736 24695012 999995597 24691168 999975555 81163644 999977069 81161458 999999930 784302088 999999951 784144488 978578518 715814956 978581376 715813798 999999931 635610800 999999944 635356219 999996307 651540759 999997674 651538338 999999435 775504767 999999752 775494327 999998060 56597183 999999365 56594647 999998292 624578566 999999476 624575771 999999789 717837671 999999932 717814530 984086030 548466653 984088176 548465111 999981420 9836681 999982629 9833944 999981420 9822130 999982629 9819393 983970200 554631123 983972514 554629693 999999882 33211778 999999997 33183004 999991537 20177180 999992881 20174718 999999410 230394208 999999909 230387577 993131251 710115600 993133383 710114048 999999841 644352680 999999884 644275733 993153194 710133158 993155454 710131694 999998169 91392708 999999746 91390610 977316122 715070451 977317447 715067954 999999822 13283174 999999980 13262234 999999542 27871294 999999837 27860079 999999410 230457175 999999909 230450545 999993092 18935073 999995338 18933600 999997287 5004582 999999286 5002927 999997287 4601332 999999286 4599677 999996737 9038708 999998577 9036910 999999884 645285397 999999925 645204707 999999329 728145783 999999435 728114573 999999979 650403319 999999997 650219535 999998292 624688249 999999476 624685455 999999329 726528535 999999435 726497327 983972796 554693690 983974790 554692031 999999710 2120859 999999947 2106901 978020453 715738266 978022453 715736612 999991951 81521341 999994123 81519818 999991537 16327469 999992477 16323950 999997433 10915058 999998896 10912797 999981420 10210437 999982629 10207701 999981420 9681044 999982629 9678308 999977976 81151124 999979916 81149419 992093342 719747004 992094424 719743947 999993059 20278175 999994678 20276132 992115485 719862918 992117133 719860911 983765805 548538717 983767082 548536127 999999717 13562974 999999822 13531475 999992989 19008330 999995338 19006922 978103895 715973868 978106165 715972411 983639652 548951704 983642823 548950661 999999990 76764645 999999991 73457298 999999710 3205778 999999947 3191823 999999144 7972131 999999638 7965436 978108935 715896124 978109783 715892224 999999948 187778407 999999959 187477760 999167344 4815899 999169027 4813934 999999598 19346097 999999829 19331781 999998169 195447800 999999746 195445703 999983525 30757085 999985196 30755106 999998060 56712891 999999365 56710357 999996307 656691966 999997674 656689547 999996307 650581648 999997674 650579229 999996307 650169099 999997674 650166680 998921744 91965409 998922966 91962703 999997563 24878596 999999367 24876763 999999923 209623670 999999955 209520336 999142781 4944217 999145837 4943135 999994156 228258522 999994326 228239072 999999884 648569648 999999925 648489003 999997117 30131009 999998840 30129090 999999895 25319194 999999927 25215869 999999997 769623741 999999998 766317344 984082722 548562885 984084590 548561115 984076728 548723224 984078382 548721225 999986169 81536674 999989664 81535728 999992968 78133731 999994356 78131349 999999884 639987246 999999925 639906609 984099879 548555896 984101911 548554269 999993032 625362705 999994574 625360561 993109120 710127418 993111108 710125755 999996416 24749579 999998327 24747849 999999978 727201983 999999980 725548977 999999435 732253670 999999752 732243241 992111359 719857326 992113381 719855691 999999923 210073025 999999955 209969714 978116820 716026363 978119287 716025023 999999314 26496665 999999605 26485305 999999969 667032703 999999993 666894964 999998292 623716695 999999476 623713903 999999988 757044469 999999989 753738790 999999435 776044084 999999752 776033656 999999982 121372316 999999988 120821379 999979808 80960340 999981887 80958750 999999789 717431550 999999932 717408434 999998060 59773444 999999365 59770911 999999975 945948696 999999982 945476479 999993414 11105747 999994945 11103588 999996307 657683092 999997674 657680674 999996672 133293075 999998169 133290867 999991419 18258989 999991537 18230978 999999969 659253853 999999993 659116136 978027031 715831121 978028664 715829097 999974859 80994630 999977268 80993258 999988076 133233795 999990718 133232544 999989369 133247336 999991449 133245747 999983555 80997993 999985366 80996168 978107697 716001885 978108683 715998533 993138253 710126068 993140115 710124293 999999598 23635024 999999829 23620717 999999598 21810105 999999829 21795798 999999598 18967503 999999829 18953196 999999598 16137235 999999829 16122928 984070191 548828449 984071993 548826615 999999435 721468666 999999752 721458241 999999837 27331887 999999983 27309252 983640447 548928233 983645314 548927554 984043410 554479399 984044906 554477190 999971889 135413244 999986133 135413012 999993685 625141251 999995552 625139481 977316977 715064418 977318844 715062648 999999923 225041490 999999955 224938224 998745100 196297783 998746968 196296014 978109783 715893123 978111947 715891596 978485116 716058392 978486259 716055501 999999410 230725231 999999909 230718609 999999969 659622639 999999993 659484962 993097544 710137724 993099684 710136180 983657739 548924572 983659660 548922852 999999899 22334104 999999943 22259011 978105565 716008974 978109758 716008186 998866554 196280206 998867980 196277889 999999982 765068258 999999983 761764225 999147572 4951947 999148752 4949147 999999884 656544701 999999925 656464116 999999837 28311306 999999983 28288676 999999948 189157972 999999959 188857611 999978298 133253059 999979035 133248576 999158140 4953308 999159992 4951524 993326937 700596427 993328868 700594716 984092779 548468966 984094562 548467113 999999329 726084527 999999435 726053359 999999982 131595974 999999988 131045340 999999641 647980564 999999644 646879343 999999996 944676803 999999997 941373268 983971560 554665106 983972626 554662007 999999598 23976352 999999829 23962051 999999946 742698560 999999975 742584646 984084173 548856432 984085376 548853686 999999986 740159552 999999988 738507855 999999410 228438682 999999909 228432062 999999410 227286036 999999909 227279416 999164772 4813278 999165882 4810302 978114286 715953238 978116386 715951665 999999909 200370768 999999919 200040440 999997433 24997173 999999367 24995465 999992168 20238224 999995338 20237182 999996494 81531274 999998169 81529302 999999969 672111195 999999993 671973569 999999992 728887102 999999993 725584104 999981420 10325861 999982629 10323129 999999975 932854260 999999982 932382407 999996279 30203893 999998115 30202094 999999144 9328214 999999638 9321528 999999829 16013990 999999899 15966806 999999982 181332239 999999988 180781764 993239367 700609893 993240914 700607758 993095099 710166630 993097124 710164999 999993293 625283267 999995134 625281473 999999983 628080389 999999987 627254701 999996307 657593830 999997674 657591414 999996307 657472903 999997674 657470487 999999638 7391456 999999843 7375346 999999822 15169425 999999980 15148523 998874892 196275879 998876365 196273637 999999144 9890724 999999638 9884039 999999149 26244147 999999314 26224133 992103734 719742081 992105253 719739907 999999955 217156796 999999976 216999547 999993974 134202511 999995121 134199632 999985625 80964327 999986801 80961519 999978864 135227775 999980583 135225854 999995101 10989854 999996704 10987794 999993032 625083097 999994795 625081224 998740458 196310526 998743524 196309449 977365229 715078594 977368083 715077437 999988816 135189538 999990062 135186888 984018396 548451591 984020298 548449855 999999944 620056719 999999971 619934428 999999974 965380272 999999975 962078438 999994015 78083121 999995247 78080441 999999948 191840782 999999959 191540640 999999435 721554354 999999752 721543939 983640259 548933338 983641993 548931434 984044029 548457038 984046036 548455393 999999998 742051032 999999999 738749519 992134074 719874905 992136577 719873586 999999829 24299500 999999899 24252337 999999144 9111813 999999638 9105130 999999410 230502406 999999909 230495790 999997652 24881748 999999367 24879823 999999329 731814242 999999435 731783097 999990808 15661233 999991419 15655830 999994156 228900297 999994326 228880878 999152789 81562675 999155936 81561626 999999993 840486203 999999996 839385814 978024283 715854084 978026850 715852798 998738173 196297847 998740602 196296488 999979393 81511963 999982458 81510886 999998292 624384833 999999476 624382045 999998292 623910928 999999476 623908140 999026158 4948128 999027999 4946335 999987425 134200840 999989322 134199100 999999946 759587311 999999975 759473495 999999925 641857068 999999979 641795945 984080140 548580440 984081891 548578555 978017637 715831485 978019682 715829871 993111108 710129282 993112955 710127495 999999946 760780460 999999975 760666650 999999144 7775096 999999638 7768415 999999993 829144986 999999996 828044897 999999367 24952577 999999638 24940399 999978927 133282043 999980874 133280348 999982147 135242214 999983543 135239850 978583782 715744124 978585876 715742548 992141288 719843619 992142300 719840358 999999882 37900014 999999997 37871318 978104487 715914921 978106463 715913251 999999410 228371171 999999909 228364558 978116553 715891119 978119119 715889833 999999476 633147004 999999484 632734528 999999994 732941526 999999995 729641786 999999841 656755133 999999884 656678396 999119281 81571827 999120974 81569878 999999435 735572371 999999752 735561962 983834123 548541480 983836065 548539781 999999925 651368488 999999979 651307388 992138950 719875714 992140642 719873764 999999988 188022476 999999989 184723098 999994156 227638803 999994326 227619395 999999329 733447114 999999435 733415988 999999435 776124206 999999752 776113798 999999993 970449034 999999996 969349314 999999969 677561340 999999993 677423875 999998060 59958876 999999365 59956348 999999969 666894964 999999993 666757505 999999542 27617867 999999837 27606684 999999144 9805938 999999638 9799260 999999946 776512405 999999975 776398652 978580662 715738051 978582427 715736182 999994314 24922154 999996561 24920686 999993628 20130659 999995338 20128730 999996307 651601835 999997674 651599422 999996307 651200734 999997674 651198321 999185250 4816807 999188008 4815611 999999909 218042790 999999919 217712938 999999605 30459411 999999855 30446217 999162522 4968407 999164772 4966941 999999925 657879068 999999979 657817985 999990347 30780228 999992007 30778241 999999435 720722191 999999752 720711786 999991967 80971145 999994048 80969560 999997287 4954121 999999286 4952471 999999997 226719702 999999998 223421484 999999286 6446836 999999455 6427320 999999605 26671551 999999895 26660178 999999894 5237193 999999965 5190740 999992289 18921383 999993997 18919452 984100593 548483789 984102826 548482312 999999542 28814919 999999837 28803739 999999979 654409760 999999997 654226533 984086191 548523008 984088185 548521354 999972057 133281433 999974266 133279940 978579613 715794193 978582427 715793021 992107385 719885431 992109325 719883731 998743393 196280375 998745100 196278443 999999969 711851522 999999993 711714111 999999829 16908015 999999899 16860903 999997807 24897361 999999367 24895247 999998060 60456546 999999365 60454019 999998060 60218923 999999365 60216396 999999969 679971802 999999993 679834401 999999969 668123747 999999993 667986347 984040397 548455123 984041494 548452117 999999969 662393416 999999993 662256017 978096976 716036876 978100499 716035940 999998169 195361272 999999746 195359181 999998169 91160298 999999746 91158207 999999925 647689935 999999979 647628871 998883319 2783 998884976 793 999999410 231158937 999999909 231152329 999971889 81513983 999973472 81511900 999999990 183312177 999999991 180014906 999999993 213793139 999999994 210495875 999996307 657772389 999997674 657769977 999996307 650903917 999997674 650901505 999999435 733459951 999999752 733449550 999155936 81569413 999157804 81567648 984074352 548456105 984076249 548454367 999999410 229223836 999999909 229217229 999999982 140842579 999999988 140293103 999999789 716437794 999999932 716414740 999999993 807790113 999999996 806691216 993366746 700614158 993369004 700612698 999999710 2306142 999999947 2292232 993357936 700653712 993359787 700651931 998740248 196275310 998742008 196273437 999999710 2207611 999999947 2193702 999998060 63675439 999999365 63672913 999998840 30333931 999999605 30329622 999997287 5067177 999999286 5065528 999997287 5012461 999999286 5010812 999997287 4782893 999999286 4781244 993137636 710118486 993139103 710116239 978492257 716047422 978493880 716045391 999968364 3182 999969554 412 992126206 719884532 992128247 719882917 984098945 548484482 984100580 548482466 978104348 716024028 978106054 716022096 983975193 554636637 983978149 554635522 999998169 195915325 999999746 195913235 992106069 719752473 992108583 719751162 999999605 25134471 999999895 25123106 999996307 657832539 999997674 657830128 999996307 651023543 999997674 651021132 999999946 772021761 999999975 771908115 992120280 719869013 992122698 719867650 999986348 135212519 999987479 135209605 998842934 196277701 998846637 196276811 978104025 716000089 978106620 715998819 999991049 81512726 999993196 81511191 999981587 134191729 999982910 134189238 993140190 710115590 993141887 710113648 983970200 554660115 983971127 554656560 999999859 11636342 999999922 11584033 999999882 32698418 999999997 32669762 999152667 4971801 999153992 4969314 999999944 632603747 999999971 632481701 999999144 10802189 999999605 10795041 999999999 918408611 1000000000 915113417 993357936 700663531 993359343 700661189 999998060 63588300 999999365 63585775 999998060 63111355 999999365 63108830 999998060 56056006 999999365 56053481 998908295 91966663 998910058 91964794 999999925 653831028 999999979 653770009 999999710 847191 999999947 833288 999988350 80967638 999990554 80966143 984075012 548703504 984077061 548701896 999989664 81537986 999993257 81537069 978116413 715903640 978117481 715900555 999999946 751237514 999999975 751123904 978113066 715916104 978118329 715915478 999999789 717281132 999999932 717258093 999981420 11092328 999982629 11089603 999981420 10171994 999982629 10169269 999981420 10015704 999982629 10012979 999996307 650297198 999997674 650294788 993371172 700678732 993372389 700676025 999979357 78127616 999980807 78125344 999993881 133265887 999995638 133264012 999998169 195495326 999999746 195493237 999999329 733783595 999999435 733752517 992112966 719860929 992114375 719858591 999999948 146337371 999999959 146037897 999992589 20049971 999994399 20048151 999997476 4722291 999999286 4720471 998838849 196252764 998840671 196250956 993360252 700666463 993362405 700664933 999974043 3056 999975653 1010 993097158 710126264 993099158 710124617 983973041 554595756 983974872 554593957 983976965 554683441 983978404 554681152 999999982 127824797 999999988 127275819 999999789 716510767 999999932 716487733 999999884 655699340 999999925 655619002 999999717 14786762 999999822 14755392 999999948 96835872 999999959 96536432 999978840 81180133 999980810 81178461 978004184 715749189 978004877 715744436 978113978 715938104 978116155 715936591 998868841 196253897 998870991 196252365 999999925 651983316 999999979 651922320 999980308 30768319 999981787 30766092 992144178 719854327 992145657 719852100 999995076 24775920 999996637 24773810 978117880 716011060 978119718 716009268 999999435 777585695 999999752 777575305 999994156 227766033 999994326 227746659 999999955 198115252 999999976 197958417 999153214 4965370 999154748 4963223 983657793 548960697 983660197 548959327 983757911 548539954 983760095 548538446 993155489 710135632 993157512 710134004 999999946 749598828 999999975 749485261 999999410 228640872 999999909 228634272 999999710 1628222 999999947 1614326 999999946 733964571 999999975 733851008 999023525 91965384 999025273 91963500 999996307 657126749 999997674 657124340 999184389 4819442 999186355 4817767 999993440 16342415 999995338 16340680 993133249 710125864 993134394 710122988 999999605 25726597 999999895 25715242 999998169 195783628 999999746 195781540 999998169 91065716 999999746 91063628 999998169 91040898 999999746 91038810 999999990 67410273 999999991 64117499 984094476 548554112 984098999 548553384 999999946 760180249 999999975 760066707 999999969 677110656 999999993 676973460 999998292 624833688 999999476 624830907 984060532 548464442 984062200 548462468 999994624 24754130 999997290 24752895 999997715 10884049 999999144 10881745 999999410 231197167 999999909 231190569 999999986 219596824 999999991 218938353 999999639 196207019 999999693 196146050 999995924 24801186 999998138 24799699 978107697 715992607 978109369 715990638 993369828 700644189 993372063 700642716 999999895 25166318 999999927 25063439 978100954 716055497 978103009 716053895 999999955 206965564 999999976 206808797 999999435 732282840 999999752 732272455 998753758 196260482 998754822 196257388 999999638 8617139 999999843 8601081 998885463 91966663 998887796 91965252 999993191 78068861 999995477 78067421 993356536 700673634 993358634 700672065 993094962 710140636 993096712 710138755 999996307 650866796 999997674 650864388 999996307 650547685 999997674 650545277 993371160 700605080 993373025 700603315 999991537 20161462 999995338 20160596 999999149 26105658 999999314 26085709 999999923 224202993 999999955 224100133 999998292 624045644 999999476 624042864 983761874 548501585 983763622 548499702 999999710 2148023 999999947 2134135 999999822 13468656 999999980 13447825 978110682 716047779 978112579 716046044 999993460 133278632 999994954 133276429 978106089 716006777 978107700 716004734 999998169 91543890 999999746 91541803 999999999 897316640 1000000000 894025456 999999843 7656719 999999936 7621330 999999930 801444512 999999951 801287793 999999884 654434998 999999925 654354728 999978358 30796560 999980502 30795025 999991548 20014513 999993447 20012780 992117173 719740406 992118906 719738507 999999410 229707203 999999909 229700608 999981420 10078977 999982629 10076255 999981420 9663377 999982629 9660655 999972256 135240538 999974510 135239078 978095367 716030867 978097267 716029135 983759986 548501528 983761874 548499785 977352716 715078789 977353715 715075495 999994156 224160273 999994326 224140916 999999983 745409021 999999985 743763692 983976767 554673558 983978642 554671803 999991419 17392565 999991537 17364679 999996245 11009386 999997929 11007432 999994156 226928257 999994326 226908901 999996307 657492469 999997674 657490062 999996307 650207063 999997674 650204656 999999985 200620816 999999986 197330521 993122026 710121507 993123778 710119629 999997392 11073143 999999144 11071265 999999975 866085227 999999982 865615202 993359274 700642716 993361526 700641255 992138848 719858202 992141536 719856978 999994156 227512601 999994326 227493248 978113544 715934535 978116989 715933580 999999969 673368281 999999993 673231200 999999829 20918672 999999899 20871673 999999925 642378237 999999979 642317314 999999976 200192745 999999984 199781520 999999789 714792470 999999932 714769466 999994314 24812335 999999367 24811684 993094674 710131831 993096867 710130331 999995290 9044302 999997643 9042904 993353035 700612762 993355019 700611104 999999975 803475819 999999982 803005895 999999829 22574789 999999899 22527798 999973600 78113388 999976314 78112176 984072048 548591628 984073933 548589883 998758166 196306711 998760581 196305349 993365594 700644189 993367827 700642716 992140636 719740743 992142107 719738507 999996307 650589658 999997674 650587252 978118093 715918569 978119718 715916545 999994156 229814975 999994326 229795628 999999975 826538110 999999982 826068282 999999144 10475138 999999605 10468004 993091857 710181392 993095708 710180538 984096398 548721952 984098701 548720524 999991537 18875385 999993363 18873584 999998060 59863721 999999365 59861201 999998060 56030197 999999365 56027677 978482672 716064455 978484247 716062367 998999784 4958201 999001745 4956524 998748151 196253412 998749490 196250956 999109186 81582116 999111045 81580347 999999993 836661918 999999996 835565729 983657898 548959327 983660126 548957851 999981420 10906091 999982629 10903371 999981420 9750059 999982629 9747339 999997287 4837508 999999286 4835863 998758899 196282273 998760581 196280318 999999605 10827806 999999836 10813571 999999598 16864342 999999829 16850107 999999948 74428321 999999959 74129392 983770150 548505831 983771571 548503517 999994156 231144171 999994326 231124829 984092541 548551748 984093481 548548250 984096729 548563489 984098818 548561915 999999410 228023761 999999909 228017172 984085924 548726141 984087640 548724225 999999841 647145844 999999884 647069383 998745659 196302847 998747876 196301364 984054864 554477004 984056128 554474403 984080673 548829561 984082453 548827714 999988983 81166669 999990354 81164271 999996307 650618532 999997674 650616127 999999329 729180655 999999435 729149640 977323603 715073225 977325538 715071526 999978534 80971323 999981564 80970238 978023088 715741911 978026429 715740927 978480270 716053653 978481976 716051726 999994156 229724139 999994326 229704801 999999955 231082279 999999976 230925741 999998060 59788989 999999365 59786470 999999882 38585414 999999997 38556829 999999925 640156381 999999979 640095506 999026271 4971632 999028143 4969876 999999882 31072324 999999997 31043740 998739904 196264464 998742466 196263181 999999992 210568897 999999993 207281883 978578557 715770219 978579903 715767777 999988904 78101279 999991346 78099933 978017335 715749063 978020111 715747879 999999930 803579043 999999951 803422534 999999969 683105046 999999993 682968102 999999435 777407781 999999752 777397413 983765903 548505772 983768848 548504656 978103895 715950768 978105518 715948743 999976244 135227631 999978212 135225961 983970620 554604342 983972338 554602429 999999149 25433620 999999314 25413702 999998169 195560510 999999746 195558426 998989701 4945773 998990596 4942101 993342072 700611609 993344600 700610309 999997287 4906728 999999286 4905084 999996307 656945939 999997674 656943535 999996307 650224055 999997674 650221651 998758959 196285834 998760581 196283808 999999476 626245106 999999484 625834341 999999993 837757261 999999996 836661918 999999966 24997753 999999975 24632641 984014152 548452086 984016034 548450340 999999410 229413532 999999909 229406947 999999841 641956199 999999884 641879786 999998292 624491864 999999476 624489089 999999144 9189970 999999638 9183319 999999987 622727309 999999990 621632148 999997287 4814553 999999139 4812779 999999314 25877991 999999605 25866701 978114433 715911108 978115901 715908870 999999923 201612192 999999955 201509525 977331857 715071432 977334129 715069986 978580697 715756916 978582427 715755017 998745100 196260501 998745848 196256109 983975806 554583079 983977128 554580594 999999329 775047064 999999435 775016072 999999598 19324534 999999829 19310313 999993625 625332651 999995451 625330852 999012361 4952635 999014129 4950777 999996307 657321385 999997674 657318982 999996307 657193033 999997674 657190630 999996307 657150802 999997674 657148399 999995658 81141763 999997328 81139796 999974516 78101008 999977778 78100001 999999969 708112880 999999993 707976013 999991805 20028175 999994128 20026761 999999975 996202037 999999982 995732802 999991793 134202712 999993974 134201206 999999986 218938353 999999991 218281463 978022013 715865840 978023729 715863926 999999641 641314713 999999644 640219906 979518872 713841324 979520565 713839384 999999410 230853679 999999909 230847097 999998292 624775575 999999476 624772801 999998292 624305195 999999476 624302421 999999925 657161540 999999979 657100719 999999948 107554384 999999959 107255816 999997162 11048376 999999144 11046719 993126564 710122367 993128226 710120391 999999710 1656276 999999947 1642419 998847813 196252736 998849658 196250956 984096840 548542156 984099345 548540845 983974469 554586799 983976808 554585395 999999410 227317606 999999909 227311025 999999605 10526212 999999836 10511996 999999984 216127111 999999985 212843298 984078360 548854606 984080091 548852709 999999598 15916680 999999829 15902465 999999144 9559773 999999638 9553126 999993196 81507416 999995048 81505643 999999329 776000743 999999435 775969766 999996307 657205366 999997674 657202964 999990423 133244176 999992413 133242526 999993120 19035314 999994671 19033197 999999598 15872067 999999829 15857853 999998169 195825443 999999746 195823361 999998169 91299114 999999746 91297032 999998292 623621425 999999476 623618652 999994777 24725071 999996281 24722888 999997287 4452866 999998957 4450900 999998012 24699951 999999367 24697528 999999710 1344975 999999947 1331122 999999994 112891162 999999995 109608060 984072485 548698622 984074012 548696472 999999329 776400269 999999435 776369297 999990761 81523614 999992552 81521781 999999435 732626792 999999752 732616436 984083843 548847535 984085501 548845555 999999925 656430422 999999979 656369630 999999598 15429370 999999829 15415159 999998840 29999188 999999605 29994897 984100229 548712181 984102826 548710917 999999829 23945228 999999899 23898335 983766620 548500739 983768237 548498709 983655776 548961057 983657680 548959333 999085002 91965701 999087330 91964291 999999927 25204973 999999943 24999819 978016693 715869140 978018041 715866705 984089523 548569875 984091762 548568409 999994156 229376483 999994326 229357175 999999882 35337054 999999997 35308513 999996307 657635702 999997674 657633301 999996307 657296571 999997674 657294170 999996307 651616598 999997674 651614197 978008371 715742974 978009952 715740898 999985132 80976452 999987565 80975103 999997129 196069988 999999045 196068275 999998060 63132947 999999365 63130432 999999969 701352152 999999993 701215399 999998292 624301274 999999476 624298502 978019940 715853998 978022675 715852798 999988809 133229797 999990309 133227609 993352203 700646736 993354716 700645430 999999975 873690178 999999982 873221331 993098388 710182910 993100550 710181392 998864774 91964415 998866691 91962703 993126030 710133556 993127186 710130717 999998840 30338221 999999605 30333931 999986493 30783438 999988631 30781903 984099732 548704288 984101462 548702391 999983121 135200170 999984766 135198175 999999998 173528233 999999999 170246465 999999999 840576755 1000000000 837294999 999998169 90949751 999999746 90947670 998746084 196283808 998748626 196282517 983754209 548526463 983755480 548523881 999997205 24855408 999998828 24853386 999990808 24557567 999991419 24552196 999999999 908984358 1000000000 905702699 999999435 734656249 999999752 734645897 999999976 206557254 999999984 206147060 977338102 715077731 977339914 715075920 978110754 715924386 978112192 715922104 999999986 208527352 999999987 205246275 978579507 715775188 978581243 715773298 999999367 24871941 999999638 24859834 999999542 29233073 999999837 29221951 999979449 81535227 999980279 81531274 983745794 548491789 983748029 548490321 999999286 4453459 999999455 4434045 999998292 624821225 999999476 624818454 978115593 716034668 978118109 716033364 999998292 624456768 999999476 624453997 998875110 196261486 998877102 196259839 999999638 8019246 999999843 8003242 999996307 657846156 999997674 657843756 983832037 548549489 983833612 548547406 999995797 24683135 999997744 24681450 999984301 134199971 999986046 134198091 999990808 15743905 999991419 15738536 999993310 19031779 999994554 19029142 999999993 947179206 999999996 946085780 999999975 761297620 999999978 760204238 999999948 196019636 999999959 195721445 999999975 974684729 999999982 974216145 998738078 196263181 998740853 196261999 999999986 761821879 999999988 760181923 999999995 208383447 999999996 205103564 978622691 715742440 978624562 715740687 999998292 624862693 999999476 624859923 978112468 716040317 978114341 716038566 999995993 11043349 999997687 11041413 999992241 133237989 999993820 133235912 999999996 122097895 999999997 118818332 999999476 634968351 999999484 634558415 999996307 650476753 999997674 650474354 999999975 846453480 999999982 845984997 984085376 548859606 984086840 548857366 999991537 19014794 999993565 19013177 993094770 710152022 993095761 710148713 983970696 554622224 983972530 554620436 999996156 135238765 999998169 135237136 999981027 78089816 999982734 78087895 998740458 196309114 998741956 196306925 999975502 133292611 999978401 133291480 998748796 196272611 998750638 196270831 999999843 9079235 999999936 9043980 999999930 793391694 999999951 793235565 998982602 91966447 998984324 91964543 999999144 9508170 999999638 9501533 984007123 548459218 984008700 548457139 999998169 195523773 999999746 195521694 999992666 16322331 999995338 16321104 978604404 715746007 978612420 715745598 999999730 5815397 999999894 5795406 999999717 15185335 999999822 15154111 999998292 624209850 999999476 624207081 999999855 30014784 999999933 29972753 999999435 773049859 999999752 773039517 999999598 18634285 999999829 18620093 999999946 741326248 999999975 741213204 999994964 625277877 999996307 625275436 978021901 715838638 978023655 715836769 999998060 60403946 999999365 60401434 999998060 59909648 999999365 59907136 999996235 24840748 999997879 24838754 999987902 30757085 999990755 30755936 992085305 719750779 992087409 719749221 999999822 12359777 999999980 12339030 999998840 30443283 999999605 30438998 992135688 719865062 992137585 719863334 984088830 554480611 984089334 554474107 999999923 231026644 999999955 230924206 992115951 719747408 992116696 719743008 999999919 205829617 999999923 205010129 999997393 10925264 999999144 10923392 999999789 715032217 999999932 715009295 999999837 28532627 999999983 28510176 999999983 21488152 999999984 18210620 999973826 135203116 999975886 135201525 999992920 20094400 999994599 20092448 999999948 96289128 999999959 95991184 999998292 623978014 999999476 623975246 999991537 20286501 999993905 20285117 999999144 10438367 999999605 10431258 978620214 715747913 978626151 715747361 999985711 133270777 999987744 133269165 999016616 91964541 999018399 91962703 999999435 776630266 999999752 776619928 999991618 20049971 999992589 20046596 999975647 81148801 999976586 81145311 999185626 4835183 999188415 4834008 999999979 24545414 999999985 23999244 999999329 727305214 999999435 727274299 999999993 754283643 999999994 751006659 999999410 229060011 999999909 229053444 999993513 30042911 999995128 30040882 999999435 720774827 999999752 720764490 999999946 731520481 999999975 731407489 999999598 16879981 999999829 16865796 999999144 7722523 999999638 7715890 999999144 7565629 999999638 7558996 999996307 656912778 999997674 656910381 999001745 4949428 999004030 4947994 999974552 135255171 999975859 135252664 999999895 26461269 999999927 26358874 999993564 20179027 999995338 20177180 993120882 710134770 993122149 710132184 999999730 6016544 999999894 5996566 999981420 10834512 999982629 10831802 999141463 81568278 999141794 81558380 999999144 9480136 999999638 9473504 978683847 715768079 978685781 715766385 999999435 735399688 999999752 735389353 999999435 734210878 999999752 734200543 999999605 25601313 999999895 25590016 999999598 18997050 999999829 18982868 998747093 196308096 998749486 196306727 999993424 20270408 999994899 20268187 999999999 672707887 1000000000 669431976 983641824 548906201 983643618 548904375 999996609 30194381 999997522 30190793 999985312 81527988 999986740 81525694 984070919 548854290 984072747 548852498 999999993 894674432 999999996 893582559 992070259 719746668 992072118 719744906 999998060 63355472 999999365 63352962 984100449 548838926 984102826 548837548 978103895 715936196 978105867 715934535 999998169 195437546 999999746 195435469 999999971 619444859 999999983 619171913 999996307 656803474 999997674 656801078 999999435 771661462 999999752 771651130 993111756 710114821 993113024 710112238 978103234 716032567 978106549 716031579 999999638 8578028 999999843 8562052 999987211 30795025 999989053 30793247 999991848 30787439 999993513 30785472 999999410 227401644 999999909 227395081 999999435 771554606 999999752 771544275 999999944 620896210 999999971 620774918 984061299 548461008 984063144 548459233 999999329 774753308 999999435 774722413 978115901 715913371 978117612 715911457 979519917 713837670 979522697 713836492 999999993 886399564 999999996 885307962 999999925 642110256 999999979 642049612 999995539 81543408 999997386 81541635 999999144 7502828 999999638 7496199 998735777 196307186 998737298 196305033 998750034 196283808 998751619 196281742 992144178 719878840 992145657 719876626 999997129 196056752 999999045 196055043 978111861 715899542 978113881 715897921 999994947 24807835 999997022 24806257 999990808 16115257 999991419 16109898 999999329 725764876 999999435 725733986 992048026 719753458 992049607 719751387 998879691 2783 998882247 1502 999999329 731122345 999999435 731091458 999170714 4805949 999172262 4803834 993369412 700608143 993371160 700606270 984093007 548501216 984095251 548499757 999996307 656922147 999997674 656919752 999972635 80964812 999974779 80963285 999998169 195244444 999999746 195242368 978483410 716060568 978485116 716058649 999999607 6435875 999999730 6409259 999974729 133234640 999976209 133232428 999999435 734394590 999999752 734384263 983745794 548496674 983748415 548495425 999994314 24770561 999995288 24767200 999996623 26683007 999998268 26681017 999999993 732398277 999999994 729124826 999993513 30212660 999996306 30211488 999999598 21691712 999999829 21677542 999999730 4641923 999999894 4621965 984095902 548534985 984096964 548531903 999999598 16287843 999999829 16273674 984091455 548587269 984094279 548586110 999999882 34938622 999999997 34910161 999993303 625211212 999994784 625209002 984095148 548589747 984096239 548586747 999999993 942084027 999999996 940993035 999998060 62681995 999999365 62679487 999998060 56121624 999999365 56119116 998914826 91966085 998916707 91964345 992119430 719852972 992121516 719851403 984064487 548452559 984065840 548450140 984092629 548728572 984094795 548727061 999999982 191573090 999999988 191027620 999977257 135229516 999980583 135228532 999981420 10718497 999982629 10715790 999999991 723162300 999999992 719889594 999994156 229289066 999994326 229269815 978634227 715738507 978636122 715736780 999973023 78104180 999974516 78101988 999973500 78120490 999975821 78119080 999996307 657762111 999997674 657759717 999996307 657741816 999997674 657739422 999996307 650912701 999997674 650910307 999998292 624812129 999999476 624809365 999997129 196163929 999999045 196162221 999995198 133224256 999997105 133222540 999979827 78122573 999981543 78120666 978011893 715840623 978013086 715837880 999999998 969265164 999999999 965992786 999997287 4902792 999999286 4901155 993347206 700664362 993349140 700662670 992120041 719751531 992121487 719749268 999999598 21313859 999999829 21299694 999999598 15815571 999999829 15801406 999999993 882843736 999999996 881753049 999999638 9281953 999999843 9265992 999994156 224313294 999994326 224294047 999999930 809331661 999999951 809175854 999995101 624801700 999996307 624798987 999999605 25635614 999999895 25624332 999999144 9496214 999999638 9489591 984075889 548718418 984077478 548716359 998738826 196258500 998741878 196257428 999155136 91966663 999156801 91964698 999999996 214784476 999999997 211512752 999999607 5550066 999999730 5523467 999181801 4835298 999184355 4834017 999998060 62819711 999999365 62817204 999998060 59897609 999999365 59895102 999998060 59759104 999999365 59756597 999999882 37428676 999999997 37400227 999999955 198282508 999999976 198126718 999981420 9937864 999982629 9935158 999999542 28653178 999999837 28642088 999119735 91964131 999122026 91962703 984030513 548455851 984032915 548454489 984086379 548526473 984088560 548524973 999999836 10838382 999999981 10815820 999999730 5737057 999999894 5717109 999999410 227655251 999999909 227648695 999975279 81506566 999977170 81504836 984087260 548847654 984089493 548846189 999990808 15844723 999991419 15839369 999999149 25037318 999999314 25017492 998740895 196315126 998742483 196313066 999999930 789435289 999999951 789279515 999972337 133279692 999975423 133278632 993116683 710125553 993117923 710122915 999982492 80992214 999983520 80989032 984097524 554473961 984100525 554472871 999999992 158659985 999999993 155388897 999980279 81544668 999982276 81543030 999996710 133249564 999998169 133247322 999999598 21665834 999999829 21651674 998896668 2783 998897997 322 999999542 27568348 999999837 27557261 999996494 80997975 999998122 80995966 999984773 26683297 999986290 26681141 978015817 715846191 978017733 715844484 984090687 548549358 984092541 548547594 999985223 81164271 999990439 81163644 978016127 715849879 978017951 715848086 993369677 700669352 993371574 700667628 999999789 714258624 999999932 714235754 999999946 729266539 999999975 729153767 999998840 30123197 999999605 30118922 999981420 10701864 999982629 10699159 999981420 10240448 999982629 10237743 999998060 62930602 999999365 62928096 977312402 715078432 977314390 715076787 999996994 11115116 999998246 11112504 999992948 133273641 999994709 133271784 999972714 135249075 999974772 135247486 999981215 81527346 999982577 81524945 999999710 1614326 999999947 1600528 999999975 817953556 999999982 817486396 983832037 548494612 983833936 548492890 999999997 933122791 999999998 929852721 999999944 619436798 999999971 619315685 999999598 21499553 999999829 21485397 999999598 17202056 999999829 17187900 999994766 624972336 999996307 624970214 992128799 719884873 992129430 719879691 999104161 81568484 999105918 81566623 998739016 196255765 998741394 196254390 999999314 25770266 999999605 25759030 993361429 700636219 993363670 700634760 999979877 135191891 999982028 135190371 999999976 216087998 999999984 215679319 999999717 12823938 999999822 12792801 999998169 195884378 999999746 195882305 999998169 195677408 999999746 195675335 999994314 24954749 999996489 24953246 999998292 623518915 999999476 623516154 999999638 24846698 999999758 24819457 999165848 4799859 999168036 4798365 978114481 715930132 978116284 715928319 999999983 29437705 999999996 29186260 999999944 628595809 999999971 628474744 998989701 4959230 998990224 4952980 983832037 548542390 983833859 548540596 999011803 91966663 999012841 91963514 999996307 651018181 999997674 651015790 999996307 650416593 999997674 650414202 999993973 135260395 999995184 135257696 999984446 135219196 999986567 135217655 977961688 715737564 977964053 715736182 999997287 4570854 999999286 4569219 978501819 716056394 978503078 716053798 999978099 133232616 999980081 133230967 993369579 700613920 993371311 700612033 999999605 30128658 999999855 30115585 999990808 16566501 999991419 16561152 984076600 548834906 984078296 548832979 999997604 4923096 999999286 4921153 999997186 196089891 999999045 196088133 998747093 196309398 998749603 196308096 999999884 650849640 999999925 650769935 999999946 775673558 999999975 775560884 999998169 195763083 999999746 195761011 984088096 548719680 984090200 548718127 999991537 20304825 999992903 20302433 999997770 24754026 999999367 24751980 983751141 548509403 983752139 548506129 978023173 715815267 978024753 715813199 999999976 221819238 999999984 221410813 983835065 548535322 983836314 548532706 998853600 196275061 998856189 196273799 999997735 24691168 999999367 24689166 999996307 650440937 999997674 650438547 992054516 719752710 992055814 719750193 999168648 4825594 999172542 4824755 999996161 11069203 999997961 11067388 978017074 715743790 978018969 715742066 999999948 133729421 999999959 133432427 999999837 29965016 999999983 29942640 984052159 548467113 984054297 548465585 999991419 15924527 999991537 15896842 999999923 202753074 999999955 202650986 999981420 10864147 999982629 10861445 999999435 775811376 999999752 775801071 993325522 700625148 993327503 700623499 993149247 710130684 993150896 710128703 999999994 148544239 999999995 145277595 999980816 81154409 999981965 81151566 978101573 716039909 978102650 716036876 999999970 18615929 999999978 18207619 999999410 230685437 999999909 230678891 999999986 770815119 999999988 769181900 999998060 63363812 999999365 63361309 999990808 23440735 999991419 23435389 999997287 4753625 999999286 4751991 978096333 716051422 978098036 716049504 999999329 722008801 999999435 721977987 999975218 135198008 999976913 135196081 978599356 715737599 978601661 715736182 999999976 201644520 999999984 201236268 999980626 78108008 999982300 78106057 999998169 91499070 999999746 91496999 999998169 91089589 999999746 91087518 999998169 90745245 999999746 90743174 999994062 30194381 999995924 30192627 999120812 81583188 999122843 81581580 983763393 548538926 983765805 548537572 978110751 716017123 978112629 716015384 999999843 7770863 999999936 7735747 999996307 657318830 999997674 657316441 999999969 700407168 999999993 700271095 993166970 710129472 993168297 710127011 999999435 773088352 999999752 773078050 984084480 548717771 984086250 548715926 999999930 799930619 999999951 799775115 999981420 10831802 999982629 10829101 999998292 624259620 999999476 624256862 984086191 548483831 984088058 548482082 984058106 554481247 984060001 554479524 999999638 8188784 999999843 8172857 999999329 726410804 999999435 726380002 999999410 229738410 999999909 229731867 984050856 548459500 984053298 548458163 978108730 716015266 978111183 716013935 999999329 775513275 999999435 775482474 992126689 719746036 992129506 719744877 993368821 700598995 993370399 700596926 983654011 548948951 983655700 548947018 983655061 548932019 983656916 548930259 999999435 772225226 999999752 772214927 999999944 637299352 999999971 637178435 999999975 971170920 999999982 970704542 977997446 715739900 977999319 715738157 978017859 715828773 978019808 715827098 999990808 24532459 999991419 24527116 983772153 548551913 983773910 548550055 999999789 717769838 999999932 717747010 999999999 938867479 1000000000 935603098 999999841 654363100 999999884 654287185 999999955 200642199 999999976 200486755 983970200 554586799 983972525 554585395 999999882 33957393 999999997 33929008 999998840 30044298 999999605 30040031 999999946 731921602 999999975 731809042 999177965 4815196 999179674 4813286 999999542 26805611 999999837 26794546 999999948 168000593 999999959 167703864 992082179 719751948 992084850 719750726 984078740 548726412 984081499 548725229 993364265 700640978 993366593 700639576 999118510 81566247 999121314 81565083 999999435 777701451 999999752 777691155 984094338 548835814 984098142 548834956 999998060 63915915 999999365 63913414 999998060 60140557 999999365 60138056 993349770 700669036 993352088 700667628 999995638 133266281 999998022 133264912 999999969 704878239 999999993 704742253 999995305 135187629 999997152 135185862 993352528 700630719 993355054 700629427 999999974 949980808 999999975 946717218 999999435 777005255 999999752 776994960 999004181 4951928 999006203 4950314 999999410 229258223 999999909 229251683 999991537 18946977 999993009 18944760 992137738 719859918 992138848 719856978 999985708 133275401 999987862 133273886 999999969 697874899 999999993 697738929 999999995 703353687 999999996 700090437 984071067 548581905 984080896 548581573 999999435 773763756 999999752 773753462 999999975 876446480 999999982 875980312 984092541 548542083 984094237 548540159 999981420 11063480 999982629 11060781 999996307 656994852 999997674 656992465 999996307 650279416 999997674 650277029 978116060 715894786 978117846 715892959 999996983 9087731 999998957 9086078 983640392 548912246 983641647 548909646 984100533 548592795 984102826 548591372 999999946 730211993 999999975 730099479 999999329 727792567 999999435 727761785 999999435 734709763 999999752 734699470 999998169 90662582 999999746 90660513 999999975 879450663 999999982 878984549 999999329 723544523 999999435 723513742 977332261 715061382 977335342 715060323 999990808 23582635 999991419 23577295 999999979 653283995 999999997 653102744 999998060 63139779 999999365 63137279 999998060 63126676 999999365 63124176 999998060 62786751 999999365 62784251 984091804 548705415 984093761 548703748 984093721 548530275 984095108 548527923 999999542 28603018 999999837 28591960 992142300 719854214 992144178 719852477 999996623 133258248 999998169 133256138 999999410 228508347 999999909 228501810 999993032 624790229 999996307 624789233 999981420 9712097 999982629 9709399 999973914 80983318 999975213 80980807 999999149 25226311 999999314 25206543 999996307 657283911 999997674 657281525 999999975 845932614 999999982 845466673 999999638 7690094 999999843 7674184 999175147 4809247 999176997 4807484 999999975 893034308 999999982 892568375 999999993 908397294 999999996 907310127 999999789 716298276 999999932 716275469 999999435 732182791 999999752 732172503 999998060 56555585 999999365 56553086 978607341 715747913 978609052 715746007 999972943 81001609 999974798 80999851 999999410 228271514 999999909 228264979 993329124 700600503 993330818 700598578 999978578 134188367 999979725 134185524 999990808 23284661 999991419 23279324 999002549 91966663 999004382 91964884 999993513 30198400 999995214 30196483 999981420 10896511 999982629 10893814 999981420 10218253 999982629 10215556 999991314 135253607 999992142 135249669 999999435 734727844 999999752 734717558 999994269 9090112 999996728 9088786 999999410 228714524 999999909 228707990 984021916 548466091 984023561 548464109 999999542 29439923 999999837 29428871 984098999 548571257 984100047 548568146 999992578 81159281 999994514 81157597 999999884 653029063 999999925 652949546 999999149 26187837 999999314 26168079 999993698 30037006 999995733 30035404 999110242 81569309 999112481 81567853 984046499 548461595 984048204 548459683 984088560 548526601 984090407 548524836 999993411 16315441 999995158 16313575 984099562 548537514 984100851 548534985 999993032 625076701 999995874 625075554 984071922 548451704 984073844 548450008 999990808 16073077 999991419 16067742 999998840 30091369 999999605 30087108 999998169 195719233 999999746 195717166 999973914 80978166 999975428 80976013 999998292 623578114 999999476 623575361 979525207 713839676 979526787 713837613 999991419 23199287 999991537 23171664 984101602 548571257 984102826 548568594 993104435 710115583 993107181 710114396 983752452 548516737 983754276 548514950 983637827 548939902 983639806 548938255 999999144 8649893 999999638 8643295 999999435 720947203 999999752 720936921 999995237 9072279 999997325 9070718 998821820 196261816 998823197 196259449 993198210 700489931 993198593 700481421 999993011 20227118 999994604 20225072 984099570 548837548 984102826 548836547 999999978 770939152 999999980 769309534 978501900 716045217 978504744 716044071 978109045 715916559 978112060 715915478 984082466 548451057 984084503 548449457 999999997 897655769 999999998 894396585 999997129 196037961 999999045 196036260 978108915 715983322 978111569 715982094 999999435 775785142 999999752 775774861 999996307 656640286 999997674 656637902 999996322 10992383 999998022 10990466 992110071 719742454 992111988 719740754 977319443 715069225 977321279 715067450 999999638 9049155 999999843 9033258 999994409 624794523 999996307 624792806 999009455 4950972 999011502 4949380 983972484 554593957 983973882 554591626 993232858 700616558 993234524 700614602 992110843 719858591 992113419 719857326 983638153 548944883 983640931 548943710 999999598 16073271 999999829 16059165 999999410 227936800 999999909 227930270 999990655 133249104 999992498 133247336 999995412 30179310 999997653 30177856 999997287 4300233 999999286 4298603 978103175 716030719 978103923 716026363 984028303 548451110 984029177 548447382 999997552 4785083 999999286 4783204 999999995 76298763 999999996 73040588 999998169 90731212 999999746 90729146 999999837 29817576 999999983 29795261 999999542 27356908 999999837 27345864 999999410 229620538 999999909 229614009 999999946 744962395 999999975 744850052 999999884 654850058 999999925 654770596 999153491 81578222 999154980 81576034 999997419 4974935 999999286 4973190 999999948 148332987 999999959 148036816 999993791 625378686 999995609 625376894 983757567 548546623 983759224 548544657 983641653 548924813 983644204 548923536 999999982 117653589 999999988 117110653 999999841 641337800 999999884 641262042 978488530 716060327 978489205 716055501 999999144 10612338 999999605 10605272 999025479 91966663 999027258 91964832 999996511 135260395 999997775 135257818 999998060 56157375 999999365 56154879 999994107 30183321 999995567 30181090 999999641 651731365 999999644 650645618 978111303 715939429 978112682 715937067 999999975 825754929 999999982 825289616 984004873 548461950 984008587 548461073 979502477 713842813 979503599 713839910 999999314 25711467 999999605 25700274 999999882 37975377 999999997 37947054 978480270 716063984 978482672 716062628 999999994 85074177 999999995 81817122 999981420 10199516 999982629 10196822 999999969 661340928 999999993 661205218 999999329 730605227 999999435 730574501 999999882 34499829 999999997 34471508 999018376 4950421 999019921 4948313 993357652 700601280 993359388 700599404 999999955 212610581 999999976 212455501 999999638 8977827 999999843 8961941 999999975 839884508 999999982 839419280 999995855 30188977 999997303 30186728 999999435 735463433 999999752 735453160 999999925 652865822 999999979 652805516 999998169 91404836 999999746 91402771 978688070 715757530 978689914 715755764 983765903 548509946 983767300 548507615 999999946 762759246 999999975 762646957 999997287 5007010 999999286 5005381 999999998 830323219 999999999 827066855 999999884 646429278 999999925 646349855 993350356 700607831 993352857 700606529 999997062 10961942 999999144 10960378 999994622 9054133 999996803 9052640 999996307 651314886 999997674 651312504 999985711 133269165 999987842 133267637 998856189 196275749 998858001 196273952 993362298 700649103 993364422 700647570 999139966 81574972 999141378 81572666 999998292 624406206 999999476 624403456 999999975 915017415 999999982 914552277 999999286 5469952 999999455 5450686 999995319 24932200 999996698 24929839 999999882 33699030 999999997 33670719 999999992 752052449 999999993 748796729 999994610 81139796 999997200 81138539 999998124 24965592 999999367 24962973 999990808 24021318 999991419 24015990 999990808 16092855 999991419 16087527 993110792 710121142 993113034 710119690 999999598 23548684 999999829 23534592 978101111 716014118 978103788 716012902 999997287 4525896 999999123 4524123 999994156 230923231 999994326 230904083 984090519 548500756 984091428 548497175 999999978 754234509 999999980 752606946 984066214 548725772 984068222 548724151 999979831 135212413 999980654 135208458 999999329 729234496 999999435 729203789 999999286 5433471 999999455 5414211 999972654 133223408 999975016 133222030 999996307 657814406 999997674 657812025 999996307 657547496 999997674 657545115 999999598 22727468 999999829 22713378 999153919 4947491 999156027 4945947 999999919 225412899 999999923 224599235 998872827 196259839 998874737 196258135 999999948 179581403 999999959 179285532 999999607 6782805 999999730 6756345 999999925 640216649 999999979 640156381 999999995 743966808 999999996 740712338 999999121 26010906 999999149 25894675 999997287 4961872 999999286 4960244 999999930 802231806 999999951 802076838 999999435 774286966 999999752 774276700 999999435 721600099 999999752 721589833 999984468 81506034 999985988 81503893 999992071 80953791 999994212 80952271 999999979 652244637 999999997 652063853 999018987 4959398 999020900 4957697 993166661 710113706 993168297 710111717 983760430 548548421 983762528 548546870 999999410 230734077 999999909 230727556 999999410 229526250 999999909 229519729 999999837 26946375 999999983 26924088 999999605 25944770 999999895 25933550 999999975 867135863 999999982 866671035 978104281 715981845 978106036 715979991 978114718 716002587 978117776 716001523 999999841 653802694 999999884 653727027 983756892 548541357 983757911 548538164 978108202 716010435 978110429 716008974 999985626 78088067 999987286 78086107 999988558 30752433 999990207 30750460 999999923 213867320 999999955 213765649 984087835 548592886 984089949 548591347 993227742 700600993 993229696 700599328 999998060 62903824 999999365 62901331 999998060 56683446 999999365 56680953 999998169 91420111 999999746 91418048 999998169 90846252 999999746 90844189 999998169 90781275 999999746 90779212 999992321 81172264 999996613 81171506 999985450 81151416 999987140 81149491 978013612 715828586 978015362 715826727 998876043 196273637 998877757 196271739 992127176 719871118 992129131 719869454 983655171 548928558 983657112 548926882 999999999 770502055 1000000000 767248994 999999435 732507630 999999752 732497368 984088892 548836132 984090398 548833972 999148752 4956648 999150744 4955015 999999975 772314802 999999978 771230511 999989037 64092974 999990712 64091032 984024733 548450528 984026279 548448424 999999843 8171604 999999936 8136628 999999948 181754213 999999959 181458513 999984007 78102078 999985573 78100001 999994069 625293623 999996093 625292016 999979986 30748895 999981798 30747100 999996734 24820191 999999079 24818804 999998292 623678648 999999476 623675901 999981625 30793708 999982562 30790237 992135714 719846866 992137381 719844915 999999919 199792444 999999923 198979376 999999605 10977499 999999836 10963420 999999925 650471147 999999979 650410921 977961688 715747509 977963829 715745990 999999979 657333769 999999997 657153093 998856731 196265666 998858290 196263580 999148752 4963223 999164772 4963020 999998840 30562937 999999605 30558686 999999841 650049292 999999884 649973665 999999710 3342033 999999947 3328312 999999542 29945409 999999837 29934386 999999998 991972396 999999999 988720619 999999975 802148581 999999982 801684049 999999946 721150364 999999975 721038236 999973376 133237989 999975843 133236671 999999410 231060289 999999909 231053773 999997379 4844470 999999286 4842765 999114729 81569874 999116367 81567889 999994156 225087070 999994326 225067944 984096031 554481658 984098947 554480543 993352823 700625148 993354756 700623466 992122656 719750318 992124146 719748136 999999435 772559183 999999752 772548927 999994426 24791585 999996191 24789743 999994314 24638923 999995766 24636684 999999894 6757925 999999965 6712136 999994314 24896764 999995880 24894688 999981420 10215556 999982629 10212867 999999975 889717666 999999982 889253238 978503171 716052742 978504934 716050898 999999789 719546247 999999932 719523513 999999841 657917017 999999884 657841417 999144107 91966663 999145006 91963047 993159832 710114178 993161271 710111919 999994992 625399891 999996307 625397419 999999598 21029575 999999829 21015503 999970774 1760 999972622 1 999999829 16779738 999999899 16733301 992099214 719740850 992100907 719738930 999999923 203387973 999999955 203286396 984087099 548485516 984089028 548483831 999977182 133272974 999979298 133271438 993330014 700625148 993331484 700622937 993334211 700603861 993335353 700601015 999974552 134193829 999976406 134192076 999113877 91965563 999115339 91963340 999981420 9969731 999982629 9967043 999999946 768835649 999999975 768723594 978116679 715922876 978118633 715921213 999999982 71058022 999999988 70516439 999999931 617587545 999999944 617337590 978024401 715832500 978026276 715830767 999999286 5641647 999999455 5622420 999990808 16156700 999991419 16151382 993146814 710117657 993148326 710115508 984046595 554479399 984048694 554477851 999972485 135198008 999974373 135196287 983970388 554674964 983973080 554673757 999176768 4841478 999179581 4840323 999994817 11063078 999996306 11060896 999995254 29982226 999997061 29980428 992140104 719755014 992142107 719753392 993350542 700609679 993352300 700607831 999999998 763705982 999999999 760457219 993126903 710126847 993128538 710124860 999994156 229639486 999994326 229620376 999994156 227305777 999994326 227286667 999993959 135206121 999996505 135204845 999999946 762524716 999999975 762412696 999997287 5034996 999999286 5033371 992114974 719857068 992117333 719855691 983979548 554673757 983981131 554671705 999999435 777385350 999999752 777375103 999999946 742479482 999999975 742367477 993132033 710118006 993133383 710115600 999990808 15920493 999991419 15915177 998859007 196271253 998860665 196269294 999996307 651216290 999997674 651213914 999996307 651072262 999997674 651069886 999999982 144323121 999999988 143781790 999999948 172817119 999999959 172521864 999998292 623880297 999999476 623877554 999998292 623764080 999999476 623761337 999999435 776848918 999999752 776838673 999999542 29277151 999999837 29266142 992090271 719755014 992091683 719752714 993103755 710128422 993105053 710125920 999999410 229445507 999999909 229438999 978020573 715865025 978021742 715862247 983973354 554677781 983975496 554676265 983768848 548505048 983770150 548502554 999999993 986148568 999999996 985066193 977993632 715749189 977995618 715747554 999998169 90635258 999999746 90633199 999999975 940620232 999999982 940156371 978109600 715982094 978111239 715980113 984085767 548575766 984087809 548574176 999999542 29585098 999999837 29574092 998745848 196259767 998747959 196258229 999999435 721690931 999999752 721680689 999999144 8967090 999999638 8960518 999994308 18907570 999995338 18904418 999997873 24989907 999999367 24987734 978577699 715767777 978579529 715766003 999991419 22345426 999991537 22317914 977316932 715082543 977318565 715080555 999999435 777263468 999999752 777253227 999999829 18874677 999999899 18828301 999996455 78098354 999998169 78096460 998748151 196255162 998750006 196253412 999986488 135237115 999987883 135234788 999981420 10159433 999982629 10156748 999992646 18961112 999994776 18959588 999999435 775900783 999999752 775890543 999999435 772334587 999999752 772324347 999994314 24650869 999998677 24650125 999184828 4803346 999187817 4802260 983764430 548513637 983766925 548512336 999169545 4817170 999171937 4815813 999999329 730067504 999999435 730036882 984083525 548837468 984085246 548835582 999999598 17767871 999999829 17753820 999999884 643268576 999999925 643189412 999999710 434649 999999947 420954 999995296 11106843 999996692 11104518 999979362 135249075 999980764 135246760 983970200 554593957 983972484 554592536 999999976 220910857 999999984 220505162 999999730 5924062 999999894 5904272 999998060 63864912 999999365 63862425 999994176 625366386 999996307 625364863 999999410 229686829 999999909 229680325 993146694 710113495 993148437 710111633 999021528 4950421 999023712 4948935 999995392 10899224 999997185 10897414 999999946 743385996 999999975 743274094 999998840 30423718 999999605 30419476 999999435 720453820 999999752 720443583 984086447 548494743 984088187 548492878 999999829 18587061 999999899 18540703 993348104 700639579 993350039 700637902 999999981 775320744 999999982 772075771 999140522 4963223 999142302 4961400 992144178 719882619 992145657 719880425 993351508 700604301 993357171 700603728 984099080 548495929 984101816 548494743 978610556 715738827 978612282 715736947 984082255 548575545 984084810 548574275 999999969 698720246 999999993 698585049 999999542 28587305 999999837 28576306 999005449 4947211 999007301 4945459 999995638 133263873 999998022 133262512 978106956 715926122 978108603 715924152 983644545 548954435 983646376 548952663 999999605 25013666 999999895 25002478 978579027 715782332 978581277 715780890 993357522 700628700 993359376 700626950 999999435 735178142 999999752 735167907 999999925 639372340 999999979 639312257 999999998 1000000000 999999999 996755526 999999982 158642381 999999988 158101638 999990808 24398729 999991419 24393419 999985312 81523614 999987082 81521781 978577597 715798728 978579430 715796958 984084002 548463370 984084976 548460039 992134496 719751593 992136784 719750175 999997287 4639632 999999286 4638009 999044323 91963664 999047699 91962703 984081935 554480611 984084016 554479052 999999837 28926200 999999983 28903979 999999607 6203580 999999730 6177204 999147631 81581606 999149226 81579572 999181730 4815423 999184126 4814069 999999997 965865207 999999998 962621029 999001294 91966663 999002549 91964078 999999923 213411027 999999955 213309651 999997356 30045097 999998840 30042911 999996307 657289577 999997674 657287204 999999435 777273701 999999752 777263468 999999435 773400478 999999752 773390245 999999955 223633678 999999976 223479211 999990808 23409592 999991419 23404283 993121877 710135632 993127186 710135021 983973321 554680392 983975633 554678989 999991065 78094132 999992750 78092207 978007406 715744248 978009952 715742974 999992589 20048151 999994870 20046729 999999822 13103060 999999980 13082531 993370195 700636554 993371413 700633891 999999605 30690160 999999855 30677186 999980146 81142452 999981854 81140553 993347886 700653303 993350250 700651931 983977811 554599758 983978993 554597014 998992565 91965098 998994623 91963522 999999948 108710274 999999959 108415423 999999969 700608602 999999993 700473462 999999975 993871896 999999982 993408563 977989563 715748759 977991381 715746975 993363944 700667628 993365084 700664783 999999435 771859440 999999752 771849209 999999969 699899523 999999993 699764389 999999329 777232519 999999435 777201923 999999982 162817258 999999988 162276738 999999993 188193249 999999994 184950202 999999969 719700732 999999993 719565606 999991984 30801007 999993513 30798886 999998060 63147757 999999365 63145272 999999638 9586623 999999843 9570804 993348851 700682405 993350565 700680513 999999943 17775881 999999956 17526430 999999923 219002970 999999955 218901632 999999993 668688463 999999995 667067086 999999948 116556802 999999959 116262013 992106069 719747963 992107650 719745912 999999944 630583148 999999971 630463051 999990808 24108828 999991419 24103521 999981420 10180209 999982629 10177527 984085408 548721149 984087120 548719255 999997287 4348346 999999286 4346724 999977506 133218551 999979039 133216436 978091609 716042299 978094570 716041204 999993032 624999663 999996307 624998673 999999993 973400698 999999996 972319962 999183111 4839376 999185042 4837697 999995416 30153681 999997071 30151722 999999144 9251336 999999638 9244773 999999989 732248044 999999990 729005955 977344921 715068245 977346538 715066240 998738665 196287173 998741828 196286148 999990463 64090576 999992814 64089197 999989117 78099339 999990878 78097498 999999884 654266364 999999925 654187291 999999946 758681391 999999975 758569600 984027435 548457041 984029177 548455180 999999884 643158976 999999925 643079907 999999946 751451584 999999975 751339797 999999882 35489524 999999997 35461335 999999969 704742253 999999993 704607185 984086191 548490427 984087918 548488550 983975133 554665106 983976179 554662007 999999789 712521454 999999932 712498786 999999925 646782089 999999979 646722062 999999598 21608396 999999829 21594364 984023672 548457110 984024733 548454055 999981420 10565511 999982629 10562830 999999329 720124990 999999435 720094412 999988904 78109770 999989578 78104961 999996307 657922815 999997674 657920444 999999730 5605894 999999894 5586131 984067619 548560339 984069242 548558342 999991419 20814523 999991537 20787056 983834831 548551445 983836488 548549489 999999985 729550447 999999986 726309377 999994252 78113513 999995428 78110757 999999975 934605614 999999982 934142608 999989498 26676365 999991441 26674697 998999283 4945987 999001382 4944443 999119029 81569350 999120519 81567175 999999930 795651853 999999951 795497533 999998292 623922539 999999476 623919802 999999997 960216695 999999998 956976159 999999789 714182316 999999932 714159655 999999974 844804812 999999975 841564350 998735777 196295349 998738617 196294208 999997287 4734256 999999286 4732635 984040803 548465431 984043093 548464016 999992754 18916099 999995338 18914845 993147859 710121973 993149113 710119389 999998060 62815018 999999365 62812535 999998060 59905354 999999365 59902871 999999987 215668708 999999988 212428409 999991419 19609393 999991537 19581933 999999329 720183452 999999435 720152884 999995488 24759583 999997493 24757967 999994107 18948075 999995338 18945443 999991419 18960384 999991537 18932927 977962420 715745265 977964053 715743281 999999925 656996349 999999979 656936352 999971889 135221380 999973365 135219185 999996307 651331235 999997674 651328865 999031066 91965132 999032526 91962913 999999894 6816221 999999965 6770592 999999955 225866279 999999976 225712013 999999455 5768388 999999607 5747075 992123915 719876062 992125736 719874283 999999410 227787550 999999909 227781058 984013832 548457871 984016353 548456586 993330828 700592251 993332485 700590296 999152489 81560317 999154314 81558542 999993565 19014794 999995338 19012967 999974040 81514714 999974980 81511268 999999979 640073667 999999997 639893712 999994156 230069561 999994326 230050507 999998169 90899109 999999746 90897055 999999946 768705346 999999975 768593655 999993032 624975852 999996307 624974863 999981420 10401627 999982629 10398948 999999948 87443881 999999959 87149436 999999841 642992375 999999884 642917052 993160600 710119032 993161894 710116529 999999598 15945151 999999829 15931130 999999789 715318661 999999932 715296012 999999837 29534793 999999983 29512610 978015943 715841821 978018799 715840687 999991419 17616681 999991537 17589235 992118234 719889255 992119859 719887262 999991419 21202599 999991537 21175154 999996307 657674326 999997674 657671957 999999822 14646848 999999980 14626352 999999975 779110737 999999982 778648120 999994151 625373771 999996307 625372269 999990808 24510409 999991419 24505109 999984382 78117836 999986059 78115905 979514546 713843161 979516388 713841403 999994156 224721488 999994326 224702440 983768754 548531692 983772065 548530714 993350118 700611163 993352300 700609679 999999948 67496846 999999959 67202475 999973244 135188728 999974886 135186756 993146990 710128703 993148878 710126988 978580673 715772295 978582427 715770449 999996497 30009463 999998637 30007950 999999789 717363502 999999932 717340860 999999990 734780751 999999991 731542994 999998060 63217750 999999365 63215269 999990808 15608177 999991419 15602878 977355974 715080092 977357852 715078368 999994168 81535836 999995770 81533815 999998169 90767808 999999746 90765755 978090830 716021451 978092456 716019460 999991419 18471309 999991537 18443874 998871994 196270176 998874541 196268905 993365796 700609876 993368087 700608463 999999837 29839748 999999983 29817576 999996307 656811146 999997674 656808778 999996307 650545277 999997674 650542909 999993400 133239958 999995044 133237989 999999829 21771613 999999899 21725371 999999329 726331630 999999435 726301093 999993414 9068299 999994114 9063675 999999882 33620941 999999997 33592795 993366577 700670708 993368964 700669352 984029588 548467113 984031349 548465275 999989629 133294995 999991267 133293019 977307213 715078895 977308724 715076753 999999859 11368791 999999922 11317418 999999329 730861633 999999435 730831100 999999882 30877735 999999997 30849592 999999994 128549484 999999995 125313079 999998060 63839908 999999365 63837428 999998060 63472851 999999365 63470371 999998060 62798716 999999365 62796236 999997287 4542968 999999286 4541349 984082230 548459289 984084355 548457766 999993261 625170161 999995051 625168353 984083959 548707606 984085345 548705271 998832145 196272842 998834006 196271103 999993846 625252323 999996307 625251008 993141062 710123524 993142535 710121327 999999829 17808979 999999899 17762748 999997129 196036260 999999045 196034571 999999946 752796682 999999975 752685092 999999946 764687685 999999975 764576096 992133816 719856978 992136311 719855681 999999455 4527855 999999607 4506566 993118604 710119032 993120689 710117480 998742254 196271810 998743818 196269741 978116175 715987016 978119016 715985877 983973072 554617410 983975485 554616069 999988148 133232544 999990718 133231285 992072384 719750177 992074332 719748516 999999435 776013847 999999752 776003640 993350144 700678867 993351914 700677039 999999944 620635180 999999971 620515348 999999946 747633676 999999975 747522117 999988696 80973155 999990682 80971526 999999598 21015503 999999829 21001498 993092649 710154438 993094269 710152441 984068222 548726653 984069515 548724151 999999982 69996632 999999988 69457457 999994156 227905682 999994326 227886653 999999943 22996651 999999970 22876840 999180266 4801486 999182648 4800128 999991419 19417153 999991537 19389740 984087667 548590375 984089631 548588728 999997287 4764338 999998910 4762345 999990808 16325903 999991419 16320609 998871994 196255268 998873123 196252403 999991419 24615143 999991537 24587732 999998169 90680123 999999746 90678072 999994156 225006204 999994326 224987178 999999975 982914937 999999982 982452895 999999144 7781786 999999638 7775239 999999948 181290206 999999959 180996192 999999476 622377899 999999484 621973635 999999975 800864287 999999982 800402276 999981420 11068428 999982629 11065753 999999410 227261522 999999909 227255041 992072384 719751409 992075009 719750177 983980684 554596764 983981416 554592346 992049630 719743607 992051291 719741660 999999895 26358874 999999927 26257814 999991419 19578478 999991537 19551072 999999314 25889104 999999605 25877991 999999710 3462622 999999947 3448977 999993032 625224750 999994534 625222597 992052064 719741103 992054421 719739731 999998060 56575492 999999365 56573014 999998060 56545634 999999365 56543156 999991419 22631781 999991537 22604376 984077428 548703775 984079149 548701896 999999435 733624982 999999752 733614781 999999884 646802985 999999925 646724115 999976196 133261685 999978063 133259953 999987972 133212249 999992520 133211538 999999829 17682889 999999899 17636695 999993032 624978207 999994797 624976375 999999923 217113141 999999955 217012096 984066688 548953985 984068861 548952497 992122493 719857427 992125027 719856151 999081625 91964259 999083703 91962703 998851645 196272053 998852335 196267367 999999946 724286008 999999975 724174516 983970200 554617961 983976068 554617410 978578910 715818091 978581627 715816901 999999144 7594343 999999638 7587798 998755735 196306679 998758166 196305349 999188140 4840323 999190949 4839172 998736092 196290078 998738186 196288534 999999286 6939195 999999341 6880411 999999435 733583983 999999752 733573784 999145570 81561279 999146738 81558511 999995811 24665807 999998461 24664587 999154980 81577371 999157979 81576293 999990808 23257489 999991419 23252198 999993376 625254486 999995169 625252683 999972848 78087001 999976432 78086099 999999979 645550439 999999997 645370842 998741738 196257428 998743493 196255586 999999969 690389345 999999993 690254650 999181777 4800128 999183502 4798254 999134525 81559783 999136829 81558380 998838801 196264155 998841199 196262807 984011662 548457875 984013537 548456151 999998060 63270956 999999365 63268479 999998060 59847708 999999365 59845231 999998060 56346641 999999365 56344164 999999969 688038009 999999993 687903324 977962534 715739692 977964053 715737564 999994156 221978023 999994326 221959009 999998292 624693587 999999476 624690857 984084997 548824858 984087420 548823524 999990808 23713120 999991419 23707830 999990808 15602145 999991419 15596855 999993837 625214467 999995254 625212186 999999955 220925214 999999976 220771301 999999974 921854753 999999975 918622608 999986003 78108185 999987154 78105377 999999925 645506947 999999979 645447096 999993032 625249421 999994778 625247570 999999329 725214729 999999435 725184240 999996307 651608466 999997674 651606102 999999969 665107116 999999993 664972467 999999936 9363743 999999965 9252310 999999314 25140334 999999605 25129229 978491319 716060927 978493230 716059236 999999598 22227191 999999829 22213202 999999329 721508303 999999435 721477818 999999996 724598484 999999997 721367090 999185626 4831001 999187870 4829561 984097247 548453184 984098853 548451172 984100208 548450914 984101818 548448907 999999822 15354161 999999980 15333710 999998060 63452383 999999365 63449907 999998060 63438671 999999365 63436195 999990402 30796560 999992507 30795025 984095084 548855463 984096059 548852149 999988703 133226290 999990235 133224181 999999435 775316905 999999752 775306713 999999435 733479309 999999752 733469117 993359674 700603100 993361857 700601620 999999948 93011335 999999959 92717628 999999598 17222698 999999829 17208712 984074538 548852156 984076320 548850343 984079273 548449186 984081604 548447800 999999144 8113008 999999638 8106468 999994314 24878596 999995417 24875667 999994051 624814406 999996307 624812974 999999542 28918542 999999837 28907591 999999410 231004785 999999909 230998311 999999410 228425621 999999909 228419147 999981420 10146084 999982629 10143412 999994156 231183147 999994326 231164145 999999982 745681329 999999983 742451010 999993682 133245632 999995415 133243768 999996307 650460364 999997674 650458001 999997687 11040736 999999144 11038519 999999836 10764512 999999981 10742235 999999598 16210970 999999829 16196987 999995286 11126216 999997286 11124601 999998292 624083536 999999476 624080808 999998060 63963899 999999365 63961424 978597339 715743074 978598660 715740629 999999598 23912647 999999829 23898665 999999598 16844703 999999829 16830721 999987479 135212691 999988242 135208458 999993032 624848130 999994655 624846140 999999974 895317231 999999975 892087513 999999944 618567919 999999971 618448302 984076146 548824858 984078567 548823524 993230321 700616558 993232858 700615285 999125894 91966663 999127512 91964667 999994156 220896541 999994326 220877544 999152205 81575573 999153932 81573703 999993699 625231660 999995807 625230128 999999923 218209293 999999955 218108374 999999993 784205733 999999996 783129273 999999946 732881222 999999975 732769865 999999923 211362201 999999955 211261285 999973817 78076141 999975371 78074063 984087755 548588728 984088963 548586055 999117056 81582636 999118808 81580793 992095461 719753615 992097322 719751880 999999909 213817633 999999919 213494750 999996569 78072746 999998169 78070728 998876690 196280691 998877757 196277665 978025348 715837622 978026509 715834841 993349078 700618425 993350852 700616605 998751370 196258918 998752955 196256881 999994261 624984703 999996307 624983125 992082956 719744341 992084589 719742364 999999948 115307452 999999959 115013961 999997287 4821417 999999286 4819802 984067773 548718874 984069541 548717048 999999314 25983258 999999605 25972164 999999969 718098489 999999993 717963975 977359573 715065515 977361400 715063748 999998840 30367242 999999605 30363022 992062296 719755014 992064195 719753314 999999990 635359867 999999992 633745782 992106441 719868065 992108430 719866442 984017280 548459428 984018225 548456012 999981420 10869514 999982629 10866844 983769237 548545495 983772153 548544388 993108960 710112238 993110036 710109238 999999605 25901976 999999895 25890845 999987531 78106901 999988904 78104550 999990808 24204408 999991419 24199125 984094476 548559840 984096501 548558246 984100250 554472871 984102826 554471618 999999993 819081757 999999996 818005850 999999435 735377950 999999752 735367768 999999435 720987221 999999752 720977039 999998292 624542375 999999476 624539649 999976919 78078226 999978467 78076141 984092266 548846137 984094846 548844886 993327475 700610314 993329496 700608717 984099907 548529950 984100851 548526531 999983456 81536567 999985763 81535168 999991537 18917497 999992754 18914845 978003690 715743610 978005859 715742122 999997242 196153189 999999045 196151399 999999925 655782132 999999979 655722367 998980718 91965713 998982602 91964000 999991537 20157725 999993441 20156030 978579954 715819396 978582427 715818091 999999789 714622623 999999932 714600055 992144178 719851860 992145657 719849678 999975775 78097945 999977589 78096166 999179283 4828843 999181126 4827092 999975003 135185887 999976781 135184072 999999435 773991962 999999752 773981782 999999894 4523073 999999965 4477622 992086661 719743569 992089339 719742364 999991537 20172336 999993460 20170658 984067014 548959619 984068679 548957681 984062002 548450140 984063909 548448448 999976677 135212413 999979831 135211390 984066214 548717998 984067524 548715535 999998292 624623093 999999476 624620368 999998292 624389888 999999476 624387163 999997287 4628814 999999286 4627200 999996796 133240492 999998085 133237989 999999923 220159011 999999955 220058188 999999946 761947449 999999975 761836200 999999995 94060627 999999996 90834429 999999841 655774476 999999884 655699450 999999410 230175547 999999909 230169082 993149086 710116070 993150649 710114006 999995673 24752895 999997290 24750900 983767941 548531692 983768677 548527309 999993391 625196988 999995687 625195583 993367033 700645744 993369270 700644302 999999882 36176510 999999997 36148460 999999955 217407922 999999976 217254315 993363891 700590950 993365987 700589411 999985010 133247336 999987040 133245747 999999605 26115489 999999895 26104366 999991441 64088147 999993452 64086543 999978630 81149400 999984015 81148801 999999455 4957356 999999607 4936135 999999829 17152577 999999899 17106498 999986663 81139139 999987759 81136196 978106819 716004155 978108876 716002587 999999975 803936584 999999982 803475819 999999948 134446239 999999959 134153028 999981303 135252711 999983117 135250933 978612420 715745955 978615092 715744748 984079579 548463677 984081264 548461763 999998169 195850442 999999746 195848397 999998169 91265017 999999746 91262972 999020384 4944920 999021528 4942101 999999923 226331268 999999955 226230491 999974914 81157682 999976645 81155819 999131821 81576138 999133172 81573751 977313409 715066429 977315011 715064416 999991419 23815858 999991537 23788529 999990538 133213876 999992520 133212249 992047975 719746475 992054516 719745982 999998060 64060046 999999365 64057575 999998060 63714968 999999365 63712497 999997129 196048178 999999045 196046495 984099853 548494743 984101582 548492878 984086728 548556684 984088872 548555180 999993032 625081224 999994615 625079187 998739455 196257428 998741394 196255765 978587021 715745436 978588572 715743357 978115278 715873586 978116947 715871654 999997287 4482510 999999286 4480897 999983544 135217655 999984859 135215203 999992119 30756484 999993513 30754171 999994201 624756543 999996307 624755012 999999995 187670801 999999996 184446518 999999923 207687687 999999955 207586930 999991297 80968427 999994048 80967255 999999909 200693184 999999919 200370768 977329847 715063200 977331857 715061596 999999286 4809957 999999455 4790880 999999638 9924735 999999843 9909009 999990808 23488151 999991419 23482875 999021811 4958544 999023562 4956703 983645490 548959867 983647089 548957851 999999329 775897193 999999435 775866782 984020298 548453544 984022111 548451766 999991419 18885800 999991537 18858483 983832080 548498639 983833295 548495986 999996307 657638954 999997674 657636596 999996307 656900546 999997674 656898188 999996307 650959052 999997674 650956694 999998060 62716264 999999365 62713794 999998060 62694989 999999365 62692519 999998060 62653052 999999365 62650582 999998060 56599653 999999365 56597183 999998060 56097776 999999365 56095306 999981420 10599070 999982629 10596404 999999998 186647309 999999999 183424118 998996777 4957882 998998523 4956036 999999998 650812682 999999999 647589657 984097015 548551686 984097953 548548250 999998840 30138332 999999605 30134119 999999435 777518503 999999752 777508336 999999435 775220364 999999752 775210197 999999829 21007863 999999899 20961824 992130264 719843100 992133345 719842054 999999894 4371430 999999965 4326040 998751608 196293858 998752215 196288549 999999410 228199499 999999909 228193041 999999598 23274937 999999829 23260987 999021619 4976356 999022669 4973287 977310069 715059664 977311969 715057968 983757172 548506129 983758705 548504027 999999837 29512610 999999983 29490539 992114017 719855266 992115542 719853153 983976068 554618729 983978511 554617410 979509166 713845436 979511968 713844286 999999930 793571089 999999951 793417648 999999314 25632045 999999605 25620972 999999598 17250042 999999829 17236093 999999955 199927488 999999976 199774051 984086191 548551582 984086762 548545939 999999930 797726839 999999951 797573407 999998060 60464322 999999365 60461853 984096192 548510604 984099524 548509637 999999410 230678891 999999909 230672434 999999410 229874585 999999909 229868128 978113427 715897921 978115163 715896065 998855047 91966663 998856671 91964679 999991419 23843163 999991537 23815858 999999435 772355849 999999752 772345685 999981420 10087101 999982629 10084436 993367502 700672510 993369290 700670708 999998169 91608083 999999746 91606040 999998169 91303384 999999746 91301341 983836143 548490868 983838078 548489203 999991419 23929857 999991537 23902554 999999944 637745019 999999971 637625695 999999998 194388457 999999999 191166710 999986483 30790027 999988355 30788306 999999988 82493920 999999989 79272223 999999542 29884224 999999837 29873303 984072979 548824858 984075394 548823524 998751253 196269512 998753215 196267870 999999925 650627713 999999979 650568054 979513483 713841014 979515601 713839493 978111764 715990529 978113649 715988820 999999144 7707979 999999638 7701458 999993513 30097962 999995418 30096271 993235270 700613451 993236953 700611537 992106372 719847352 992108403 719845766 998992123 4963510 998993736 4961513 999994579 624762111 999996307 624760247 999999975 824700770 999999982 824240644 999997559 5131662 999999286 5129797 999981420 10386090 999982629 10383426 999998060 62639483 999999365 62637015 999991048 133229797 999992520 133227609 977355694 715076332 977357453 715074501 999999923 221059769 999999955 220959122 999991419 18184271 999991537 18156977 999996307 657508983 999997674 657506627 999999730 4357657 999999894 4338019 999072223 91966663 999073745 91964547 999999899 22160850 999999943 22087658 999984382 78122376 999985937 78120305 999999975 814464150 999999982 814004098 999983609 3182 999986788 2169 999999995 153612392 999999996 150392090 978026450 715821395 978027934 715819225 999999982 160213521 999999988 159676817 984071182 548851267 984073237 548849700 999999997 708641154 999999998 705420995 993372389 700681088 993373025 700676025 999995301 81513211 999996722 81510945 999999598 21182212 999999829 21168273 999983240 81529377 999985312 81527823 978578350 715784407 978581081 715783228 993227923 700610942 993229697 700609127 999148054 91965074 999149966 91963390 999134711 81582706 999137034 81581320 999999144 10678488 999999605 10671504 977350251 715074026 977352343 715072487 978106822 715959703 978108330 715957568 999981420 10949171 999982629 10946508 984098857 548585593 984099978 548582721 999999843 7986241 999999936 7951623 999998060 56231786 999999365 56229319 978608284 715738836 978610556 715737419 993124623 710116816 993126340 710114941 983974549 554590860 983976618 554589304 993236632 700593855 993238831 700592391 999993032 625176513 999996307 625175530 978107205 715915201 978109395 715913731 999994156 223827419 999994326 223808482 999996307 650593449 999997674 650591094 999996307 650429995 999997674 650427640 984069121 548466647 984070883 548464820 999976479 81509056 999977786 81506593 993091857 710119032 993094124 710117612 999999435 776993450 999999752 776983295 999999435 773464702 999999752 773454547 978683847 715820957 978685262 715818682 999999410 230510769 999999909 230504318 999999974 880351614 999999975 877132596 999993144 64084858 999994725 64082822 999994351 624919763 999996090 624917912 999995933 24784053 999997068 24781217 993240696 700603163 993242648 700601514 999999435 773970425 999999752 773960271 984092086 548533331 984094340 548531903 983977549 554646846 983979304 554645012 999998169 196000922 999999746 195998881 999998169 90651576 999999746 90649535 999999999 732358423 1000000000 729139796 998992382 4954380 998994681 4952980 999999982 67491406 999999988 66954977 978114765 715882239 978116905 715880735 999999948 92480360 999999959 92187765 999992773 16385841 999994567 16384047 999994469 624767858 999996307 624766107 992047975 719847285 992049935 719845643 984092266 548826732 984094610 548825359 992144178 719866426 992145657 719864250 999999971 620941522 999999983 620673338 999998060 56178892 999999365 56176426 999985582 81146129 999988476 81145017 999999882 34881074 999999997 34853091 999999955 216572952 999999976 216419712 999996307 650981647 999997674 650979293 999999899 21817133 999999943 21743999 978000091 715737625 978002321 715736182 999999930 782168957 999999951 782015728 993232607 700612769 993234169 700610709 979506368 713845436 979509166 713844286 999999841 644619381 999999884 644544552 999999410 228517411 999999909 228510963 999999435 721510964 999999752 721500814 999999435 720651169 999999752 720641019 999990808 23499607 999991419 23494341 984100525 554480995 984102351 554479233 999999930 799634752 999999951 799481548 978107169 715909061 978108727 715906996 999999542 29773466 999999837 29762560 999999455 4650065 999999607 4628899 999991419 19305967 999991537 19278703 999999329 724434670 999999435 724404320 999998169 195306985 999999746 195304945 977307213 715081121 977308724 715078992 999999598 20214671 999999829 20200745 999999822 13180294 999999980 13159934 992124949 719739770 992127496 719738507 999998060 63849984 999999365 63847519 999998060 62986590 999999365 62984125 999998060 60188866 999999365 60186401 999999988 728899688 999999989 725682931 999999997 874817108 999999998 871600359 999999999 787046805 1000000000 783830075 999971889 134192017 999973624 134190163 999999946 740013331 999999975 739902414 998847566 196257276 998849300 196255421 999977941 134191824 999979725 134190021 999996307 657303558 999997674 657301205 999996307 651573731 999997674 651571378 999999598 18897461 999999829 18883537 999999884 644842690 999999925 644764241 992047975 719884401 992049935 719882760 999999982 120193723 999999988 119657668 999999899 15575764 999999943 15502666 999112265 81561416 999113798 81559318 999990439 81168893 999991138 81164292 999988535 26686711 999990944 26685376 999999996 174205932 999999997 170989918 998758697 196314454 998760581 196312747 999987282 81159413 999990019 81158238 999988600 30777286 999990317 30775413 999999822 13555643 999999980 13535289 999993009 18860756 999994830 18858990 999999314 25059056 999999605 25048005 998915536 2783 998917421 1077 978094483 716023373 978095776 716020886 999992726 133280074 999994956 133278632 999988419 133224181 999991541 133223151 999999476 630903547 999999484 630501594 993347584 700669099 993349770 700667628 999998060 63194609 999999365 63192145 999999598 17073018 999999829 17059098 999998060 56736798 999999365 56734334 999998060 56695514 999999365 56693050 999999931 637687919 999999944 637440572 999999367 24730208 999999638 24718343 993355331 700687307 993356496 700684547 999997181 9090142 999999144 9088504 977973662 715743231 977975100 715740995 999980002 80953600 999981621 80951614 978103895 715911113 978105870 715909485 999999829 24150659 999999899 24104727 999996307 658050860 999997674 658048508 999999948 86145172 999999959 85852886 999986510 133229797 999988376 133228074 999999993 925045991 999999996 923974291 983976068 554620045 983978511 554618729 999999975 939228654 999999982 938769392 999980646 30745841 999982435 30744044 999981420 10081811 999982629 10079152 999999946 770072656 999999975 769961805 998737447 196310599 998738758 196308147 999999884 641415848 999999925 641337444 999998292 623859634 999999476 623856919 999974256 80993258 999977335 80992214 999997287 4694234 999999286 4692626 999997287 4634506 999999286 4632898 999994545 11004442 999996263 11002571 999999286 7008405 999999341 6949962 999186826 4821371 999189585 4820206 999993032 624964590 999994129 624961660 999974819 81519734 999976096 81517217 999994156 224682467 999994326 224663560 983763587 548529905 983765096 548527775 978113781 715975977 978115305 715973868 984069417 548851772 984071182 548849951 993350250 700654760 993351505 700652199 999993770 133243691 999995414 133241736 999991419 16278844 999991537 16251607 999998169 91243754 999999746 91241716 999996307 657973597 999997674 657971246 999996307 651391859 999997674 651389508 999982320 135238880 999984080 135237054 992088062 719740613 992089588 719738507 999999542 26794546 999999837 26783652 999999710 1980323 999999947 1966763 978577536 715806237 978579796 715804815 978104820 715907976 978106463 715906020 999997527 5022889 999999286 5021062 978098861 716016822 978100689 716015064 999981420 9745576 999982629 9742918 999999598 22021052 999999829 22007141 999998292 624087437 999999476 624084723 999999944 633130601 999999971 633011589 999999982 80489865 999999988 79954336 999013380 4958482 999014509 4955636 984071430 548721172 984075012 548720275 999991297 80966609 999993085 80964812 999975415 133225622 999977216 133223838 999999144 9136556 999999638 9130052 998865001 196273455 998866804 196271673 999999946 759473495 999999975 759362704 999998060 63229826 999999365 63227364 999999999 954103275 1000000000 950890398 999999822 12496933 999999980 12476599 999990808 23401727 999991419 23396469 993239389 700603163 993240696 700600705 977328834 715072830 977331132 715071432 978013528 715821742 978015086 715819680 999985385 30770762 999986700 30768319 999999710 3631530 999999947 3617975 999995306 24634459 999997073 24632641 998823928 196254915 998826047 196253399 999998169 90718982 999999746 90716945 999998169 90648405 999999746 90646368 999999923 224780012 999999955 224679629 999999981 737011407 999999982 733799299 999999410 229949914 999999909 229943477 999975810 133259049 999977268 133256846 999999882 32193855 999999997 32165925 999999999 859372732 1000000000 856160829 999999946 766768894 999999975 766658142 977974294 715749189 977975598 715746726 999977565 81167047 999979277 81165171 993367256 700639159 993369324 700637606 992127232 719755014 992129176 719753362 999999999 925593151 1000000000 922381701 999993229 134192265 999994963 134190413 999999598 16654481 999999829 16640579 999999884 641909366 999999925 641831041 978101323 716057282 978103122 716055497 998755717 196294664 998757426 196292785 993135343 710118006 993136798 710115799 984079559 548841031 984083119 548840129 984097597 548540845 984099345 548539008 998857087 196259989 998858679 196257972 999997063 30198400 999998840 30196593 992119891 719870594 992121922 719869013 999998292 624786594 999999476 624783882 999995797 24642173 999996785 24638923 999977786 81514929 999979120 81512522 999999975 921327077 999999982 920868372 999994323 10973122 999995973 10971176 999999822 13878972 999999980 13858650 983765827 548550575 983767249 548548317 999999997 975060494 999999998 971849643 999996142 135248925 999998169 135247341 999999931 622683729 999999944 622436747 999996545 81149414 999998169 81147437 999999435 720348527 999999752 720338399 998832145 196270617 998834307 196269132 977335497 715061345 977337567 715059794 999999946 746067560 999999975 745956852 999982997 135193558 999984890 135191862 999999638 8370840 999999843 8355179 993352284 700671815 993354250 700670182 977957699 715771580 977961118 715770641 999995446 135250254 999998169 135249075 999999986 225063497 999999991 224421423 992089339 719745493 992090365 719742364 983767451 548496813 983768848 548494515 999998060 60172257 999999365 60169797 999997211 24978910 999999367 24977421 999999829 24467482 999999899 24421621 984077909 554479768 984080035 554478258 984093553 548822534 984095167 548820545 999999931 635857721 999999944 635610800 999999948 11975730 999999978 11868732 999981420 10277507 999982629 10274852 999999329 730282389 999999435 730252107 999998292 623702996 999999476 623700285 999994314 24811684 999996610 24810286 999999884 649478240 999999925 649399953 999996307 657408499 999997674 657406151 999996307 657088420 999997674 657086072 999996307 656754218 999997674 656751870 999994190 625078607 999995874 625076701 999986910 135189222 999988816 135187538 999999710 2192088 999999947 2178545 984087460 548460767 984089834 548459415 999974924 133249229 999977321 133247890 992144178 719862617 992145657 719860447 999999975 845077640 999999982 844619164 993156933 710125917 993158470 710123829 977322686 715079265 977324061 715076931 999998840 30652177 999999605 30647982 978011647 715859406 978013527 715857699 993096019 710133548 993097888 710131831 998874104 196273637 998876043 196271982 999991419 19256463 999991537 19229268 999998060 63892807 999999365 63890348 999995872 81519797 999998169 81518400 999999329 732208431 999999435 732178159 999999946 777362998 999999975 777252349 999989298 78134952 999990664 78132603 999999435 720809028 999999752 720798906 999998292 624018338 999999476 624015628 999999410 228673686 999999909 228667256 983765903 548507615 983768208 548506223 978011995 715846017 978013581 715843994 999998840 30578079 999999605 30573885 999990808 23985816 999991419 23980565 999999435 734447972 999999752 734437851 999999987 9507415 999999992 8865764 999999435 773627175 999999752 773617055 978116596 715925948 978118133 715923861 999998060 64038199 999999365 64035741 984051283 554485495 984052396 554482613 999996146 80986832 999997327 80984116 978090830 716032237 978092176 716029854 999999990 156710456 999999991 153502949 999981420 11083047 999982629 11080394 999998292 624797363 999999476 624794654 999993513 30124910 999995058 30122834 999999947 3429466 999999955 3028540 999996036 30225295 999997660 30223320 993098379 710181392 993099553 710178660 999982447 30779603 999984795 30778237 984086273 548564199 984087521 548561629 993099553 710181392 993100550 710178175 977319701 715061998 977323321 715061112 999999909 230573667 999999919 230252937 999981789 133254560 999984386 133253325 999999605 30499856 999999855 30487027 999994156 222263044 999994326 222244178 999980691 135254669 999982329 135252711 999999991 170946373 999999992 167739191 999991419 22838414 999991537 22811235 999999948 150933158 999999959 150641605 978113810 716002587 978114718 715999055 977362092 715067749 977363858 715065933 983973194 554610645 983977522 554609904 999999884 653868137 999999925 653789917 999999884 646219865 999999925 646141645 999999975 968318778 999999982 967860635 999996307 651467023 999997674 651464677 999996307 650532551 999997674 650530205 999996307 650183934 999997674 650181588 999999598 21070973 999999829 21057090 999999598 16571943 999999829 16558060 992142759 719743012 992144309 719740943 978112727 715985752 978114919 715984289 978018212 715839569 978019560 715837190 999999435 775631580 999999752 775621464 999999710 1486573 999999947 1473043 999994156 221114976 999994326 221096114 978103895 715927434 978106339 715926122 999991419 24168168 999991537 24140995 999999816 24742047 999999966 24720671 999997287 4588510 999999286 4586906 999998060 63579470 999999365 63577013 999998060 56367051 999999365 56364594 999977353 30766092 999978673 30763663 993239157 700605620 993241586 700604300 999999974 827621616 999999975 824415339 992113760 719842079 992115623 719840358 999999946 742283541 999999975 742172983 999994156 220926061 999994326 220907202 992144001 719750750 992145657 719748814 999999314 25368555 999999605 25357538 999999710 2651045 999999947 2637518 977339196 715081123 977340992 715079338 999994156 229395341 999994326 229376483 999989365 133214982 999990538 133212249 999999998 160774767 999999999 157568983 999999923 197856889 999999955 197756709 977355904 715082543 977357683 715080741 999988995 30781286 999992025 30780228 999996224 81534767 999997879 81532830 999999923 205202031 999999955 205101852 983760519 548523706 983763331 548522566 999996307 657829363 999997674 657827018 983978149 554633013 983981176 554631954 998852335 196272806 998854298 196271173 993095600 710120557 993097702 710119032 999002921 4947211 999005449 4945943 978687287 715820957 978688696 715818682 999999329 722760255 999999435 722730015 999996590 78090911 999998169 78088881 999998840 30283708 999999605 30279518 999994491 624885745 999996307 624883980 977308729 715067450 977310721 715065841 999994242 624908482 999995835 624906470 999998060 56169619 999999365 56167163 999999410 229921666 999999909 229915243 999981420 11114484 999982629 11111833 999999993 956229004 999999996 955160664 999999970 21110061 999999978 20709439 978116362 716062712 978117418 716059677 999999710 2612773 999999947 2599250 983970200 554595863 983972292 554594331 999999455 5587957 999999607 5566872 999999995 662830517 999999996 659625629 999999899 22087658 999999943 22014820 993353144 700687483 993371353 700687307 993332580 700612506 993334141 700610453 999999329 728112436 999999435 728082203 999999598 21743933 999999829 21730060 992049501 719745982 992051347 719744246 999999990 96868459 999999991 93663833 999999884 656246584 999999925 656168424 978025198 715842769 978026933 715840922 999997129 196180884 999998850 196179022 999999882 35667942 999999997 35640077 999998169 91020332 999999746 91018300 999999930 804199297 999999951 804046704 999999955 207923402 999999976 207770814 999999909 206271991 999999919 205951564 999996307 657551269 999997674 657548925 999996307 656890745 999997674 656888401 999996307 651534498 999997674 651532154 992106126 719889593 992107816 719887697 999999710 909234 999999947 895714 999999435 733139356 999999752 733129248 999149226 81582133 999151210 81580518 992052629 719750258 992054516 719748560 983658755 548943778 983660197 548941556 999999789 715514515 999999932 715492109 977345545 715065513 977346396 715061748 999999598 18046530 999999829 18032660 999991419 20236543 999991537 20209391 999998292 624836394 999999476 624833688 999999946 732734005 999999975 732623526 999981420 10022348 999982629 10019698 999998840 29992637 999999605 29988449 978115128 715943983 978116782 715942046 999998060 63420662 999999365 63418207 999998060 56185756 999999365 56183301 999999969 684448160 999999993 684314670 999981893 80987671 999983573 80985764 999999946 755912333 999999975 755801860 999997021 196218761 999997129 196189097 999977145 81537181 999979196 81535619 999991537 18928189 999992630 18925258 978112876 715929422 978114481 715927426 999999410 228531912 999999909 228525492 999997129 196096727 999999045 196095055 983971691 554590189 983973284 554588178 999990808 15875445 999991419 15870202 999979653 135198008 999981873 135196565 999999923 207908095 999999955 207807987 999993513 30022148 999996836 30021184 999999999 229679032 1000000000 226475735 999999946 757065220 999999975 756954762 999999837 29792309 999999983 29770369 978482067 716049909 978483249 716047199 999999329 733311891 999999435 733281672 999981952 133290421 999983844 133288728 993366577 700675613 993368510 700673956 999993032 625262296 999996307 625261318 998995494 4946754 998997134 4944801 999998169 195552092 999999746 195550061 999998169 195298848 999999746 195296817 999999149 26526490 999999314 26507079 999999286 4360343 999999455 4341392 999999435 732202896 999999752 732192793 992047975 719851035 992049935 719849401 999994156 228283390 999994326 228264551 978688449 715763922 978690297 715762189 983972395 554639136 983974299 554637454 983756443 548501033 983758306 548499314 977347831 715071849 977349949 715070337 999999542 29897623 999999837 29886768 992117172 719842560 992119037 719840843 999999816 24857319 999999966 24835971 999991537 18904418 999992564 18901300 999999882 31579614 999999997 31551769 983642713 548901847 983644419 548899970 978116069 716027751 978118376 716026363 999999144 9244773 999999638 9238291 999999410 231277754 999999909 231271337 978027954 715811999 978029572 715810020 999999969 681183600 999999993 681050183 993339635 700605598 993344516 700604942 999999638 9351721 999999843 9336102 999995100 30085243 999996772 30083328 999997002 30175961 999998840 30174219 999990207 30752602 999992282 30751059 983641462 548904375 983643618 548902890 999999919 212777706 999999923 211977301 999150744 4958066 999152484 4956226 983758574 548496196 983760942 548494844 999993513 30226432 999998840 30225831 999994156 225433565 999994326 225414733 999993414 10959688 999994691 10957181 992139669 719749260 992141621 719747620 999995803 11019111 999997443 11017159 999999882 31761199 999999997 31733362 983637783 548910158 983640392 548908931 993359610 700645730 993361180 700643691 992115699 719878552 992117089 719876249 999998060 56256010 999999365 56253557 993152648 710113208 993153772 710110360 999994119 133233782 999996399 133232378 999996358 9036910 999999144 9035761 983770544 548487269 983773910 548486318 978113900 716047669 978115887 716046058 978012018 715825995 978014690 715824797 999993513 30091659 999995630 30090147 998995163 4949129 998997134 4947505 998823434 196279249 998825337 196277567 993158030 710119032 993158961 710115594 978094057 716048668 978095712 716046734 999999542 28536732 999999837 28525882 999999542 27464531 999999837 27453681 999115652 91965754 999117579 91964093 978024401 715830314 978027031 715829097 999999969 681912477 999999993 681779115 979490011 713845436 979493244 713844446 999999822 14799784 999999980 14779527 999999978 777800324 999999980 776200028 984093398 548451217 984094970 548449181 999999829 21063693 999999899 21017971 984090167 548478776 984091953 548476984 999999710 3617975 999999947 3604471 999994156 229098353 999994326 229079527 999987879 135230146 999989878 135228545 978106165 715966028 978107797 715964067 984068850 548848678 984071036 548847214 999999144 10840212 999999605 10833270 999996307 657985090 999997674 657982749 984086191 548492878 984089028 548491750 999021793 4954267 999023562 4952458 983762920 548546575 983764326 548544299 999125438 81562103 999127205 81560292 978683914 715805080 978684926 715801918 999999923 210197129 999999955 210097132 999972793 135212413 999974296 135210284 999996314 80952427 999998169 80950702 999998060 56370864 999999365 56368412 999999598 24523225 999999829 24509373 999997129 196179022 999999045 196177352 999999410 228311951 999999909 228305539 999977141 81527341 999979334 81525882 998863876 196258447 998864885 196255276 999992342 20058824 999994523 20057357 978497234 716050752 978498854 716048777 999994050 10905300 999995959 10903624 999999975 849737272 999999982 849280215 978024393 715823957 978026049 715822025 999999988 132497318 999999989 129298054 999999948 123371614 999999959 123080778 999998292 623615728 999999476 623613026 978498108 716059987 978499376 716057464 998868926 196260608 998870608 196258706 984086191 548538467 984095437 548538121 999994367 624905921 999996307 624904272 993129164 710119032 993130862 710117148 999981420 10111905 999982629 10109259 984089072 548582688 984090395 548580270 992057827 719755014 992059577 719753186 978500856 716060814 978502759 716059133 993359055 700636370 993360254 700633702 999999944 629904554 999999971 629786076 999999605 10451435 999999836 10437587 999991419 21311167 999991537 21284058 992131098 719871659 992132554 719869462 978683847 715814345 978685638 715812559 999999925 654182403 999999979 654123168 978017951 715848974 978019728 715847174 999999899 23407923 999999943 23335228 993337791 700617414 993339687 700615727 999994156 221031707 999994326 221012892 999999605 30105860 999999855 30093066 993358173 700660278 993360474 700658888 992127973 719741662 992129581 719739673 977984686 715746391 977986428 715744555 999998169 195689919 999999746 195687891 978023655 715840419 978025709 715838862 993348005 700603317 993349689 700601418 999999899 20291716 999999943 20219039 977979501 715749189 977981564 715747639 999999710 800061 999999947 786569 999999435 775931986 999999752 775921899 999999979 644150531 999999997 643972888 998937438 91965664 998939543 91964145 999996307 657335084 999997674 657332745 999996307 657235479 999997674 657233140 999996307 650505978 999997674 650503639 999999909 205168042 999999919 204848302 983836326 548504471 983838209 548502773 999999455 5734850 999999607 5713815 998756303 196315126 998757814 196313010 984022748 548454055 984024349 548452058 999169117 4805836 999170714 4803834 999999730 4508960 999999894 4489465 999999410 229910643 999999909 229904236 999991419 23306123 999991537 23279029 979505083 713841834 979506368 713839346 999987566 133256388 999988810 133253818 999999598 19045888 999999829 19032048 999991419 22795633 999991537 22768540 999976105 78086099 999977642 78084019 999998840 30553460 999999605 30549281 978480270 716045850 978482067 716044071 999994156 229031889 999994326 229013084 984094971 554483456 984096749 554481658 983771030 548520072 983773910 548518962 999999638 9763528 999999843 9747934 999998037 30236521 999998840 30232540 978686836 715750515 978687774 715747107 999186903 4829448 999188511 4827460 999999982 147489665 999999988 146956883 999999975 851687997 999999982 851231330 999999884 649931417 999999925 649853450 999981420 9763667 999982629 9761023 999998169 91473851 999999746 91471824 999998169 90932723 999999746 90930696 999998169 90881240 999999746 90879213 999999149 25858456 999999314 25839083 999971889 133240799 999973360 133238626 999993758 624932567 999996307 624931313 998824937 196267246 998826662 196265393 999999993 810447846 999999996 809382376 999999936 8264536 999999965 8154316 978114715 715914191 978115901 715911496 999993513 30132631 999998840 30132031 999999730 5242449 999999894 5222960 984082547 548569727 984084972 548568409 984094846 548846112 984096904 548844559 993328717 700590925 993330828 700589411 999996307 651060776 999997674 651058438 999997662 4931748 999999286 4929780 999994156 228848926 999994326 228830126 999999435 774798034 999999752 774787952 984034606 548454859 984036684 548453321 999997376 30005245 999998840 30003062 999994314 24968833 999995886 24966800 999999969 682729920 999999993 682596760 992104763 719754718 992105995 719752124 993368853 700621408 993373025 700620642 999999882 33728757 999999997 33700968 983646171 548922699 983648140 548921076 999998292 623644995 999999476 623642296 999159446 4971367 999164772 4970767 977343647 715074594 977345766 715073086 999999542 29245499 999999837 29234667 999999988 176369621 999999989 173174188 999998840 30110353 999999605 30106176 999981420 10886404 999982629 10883761 998950334 91965704 998951703 91963370 999999822 12692706 999999980 12672483 999995100 133228189 999997076 133226572 993346712 700607831 993348688 700606214 998993437 4959230 998995229 4957447 999999410 230268312 999999909 230261909 999998169 90693159 999999746 90691133 999999598 22761591 999999829 22747760 999999930 791956614 999999951 791804474 999999899 22257573 999999943 22184963 999999882 36752625 999999997 36724844 984002966 548455111 984007792 548454449 999994156 228452445 999994326 228433652 984095897 548494743 984097610 548492878 999971889 133283492 999975423 133282588 984072360 548842622 984074368 548841031 999996307 658057261 999997674 658054924 999999329 721102425 999999435 721072287 983655602 548954855 983659334 548953999 978112192 715918303 978113953 715916489 999999923 219169456 999999955 219069633 999999946 746420799 999999975 746310653 999999837 28501057 999999983 28479179 999981420 9770023 999982629 9767381 999999955 205191128 999999976 205039026 999990811 64097100 999992566 64095280 984085780 548838799 984088315 548837539 978012626 715865343 978014446 715863588 999980202 133244680 999981777 133242652 999999435 774509977 999999752 774499901 999999435 732459625 999999752 732449549 993334347 700614356 993337070 700613183 999994156 223740845 999994326 223722057 999948527 1053 999951563 1 999999882 31881726 999999997 31853954 999999982 192527473 999999988 191995181 999999367 24991784 999999638 24979999 998871994 196265218 998873939 196263576 999999998 223056714 999999999 219863051 999999969 701913244 999999993 701780183 999998169 195978459 999999746 195976434 999998169 90699980 999999746 90697955 999992630 18926614 999994985 18925258 999986176 133259049 999987797 133257079 999998060 62829140 999999365 62826693 984056086 554484921 984057879 554483140 993343510 700613793 993345225 700611931 999996307 657139390 999997674 657137054 999996307 651549295 999997674 651546959 983770336 548535088 983772115 548533293 978626151 715738902 978627325 715736182 979517405 713843421 979518196 713839384 983759603 548508207 983761347 548506376 993094120 710133548 993094674 710127784 999999144 10084774 999999638 10078310 999999435 732293443 999999752 732283370 999999730 4595712 999999894 4576242 999999948 164044352 999999959 163754075 984003841 548465696 984004873 548462602 999999882 32540540 999999997 32512775 999027350 4964200 999029075 4962349 999980487 81517295 999983891 81516357 999999969 685500009 999999993 685366970 984083810 548822114 984085845 548820545 978014830 715814456 978016847 715812873 978103895 715948169 978106070 715946701 999999329 721551145 999999435 721521024 977330188 715059790 977331857 715057877 984038047 548465471 984039671 548463505 999999789 712816850 999999932 712794525 999999598 19691616 999999829 19677796 999999982 92272318 999999988 91740268 999999948 70601606 999999959 70311400 999993414 10929551 999994482 10926562 983637783 548915109 983638898 548912246 999999975 925313636 999999982 924857606 992127063 719861357 992128573 719859243 984088603 548842782 984090426 548841031 999998292 624131343 999999476 624128647 999998292 623874296 999999476 623871600 999976206 80971133 999977848 80969189 978103895 715957289 978105100 715954640 978485894 716054559 978487752 716052841 999998060 63496428 999999365 63493982 999999605 26296062 999999895 26285055 999999909 207054756 999999919 206735557 999013355 4944867 999014509 4942101 999981420 10272377 999982629 10269737 993112905 710134654 993114850 710133013 999999605 25704572 999999895 25693566 999999969 696135167 999999993 696002179 999996517 135219316 999998169 135217384 993349904 700594065 993351751 700592337 999997774 24769196 999999039 24766673 999999980 755503374 999999981 752311869 993229696 700600629 993232149 700599328 977973798 715739150 977975100 715736699 978105757 715885083 978107351 715883081 999972410 78128633 999974375 78127009 999999410 228864670 999999909 228858275 984094542 548545697 984097037 548544418 999999948 157513790 999999959 157223690 984073803 548558133 984076573 548556981 999993414 11121793 999994631 11119171 992096603 719745554 992101660 719744923 999999476 625065542 999999484 624666673 998750638 196272616 998751666 196269512 999996071 24898790 999997807 24896952 999990808 23446214 999991419 23440992 999999144 10637401 999999605 10630480 999996307 657036305 999997674 657033971 999974721 135245473 999977023 135244087 999994314 24663498 999995968 24661569 999994156 231101021 999994326 231082253 983751061 548522328 983752815 548520509 999997287 4318343 999999286 4316747 999998169 91482058 999999746 91480035 999998169 91341276 999999746 91339253 999997129 196226183 999999045 196224518 999999542 28900118 999999837 28889304 999999841 641821367 999999884 641747179 999991537 18882975 999993100 18880934 998749914 196309668 998751107 196306994 984092541 548548250 984093832 548545779 992121913 719885346 992123784 719883641 977982231 715743368 977984401 715741898 999993032 625020153 999996307 625019179 992059398 719744505 992061018 719742536 999999960 3211905 999999965 2573958 999998292 624515421 999999476 624512727 983752497 548492638 983756254 548491789 999999435 777596452 999999752 777586390 983835231 548487942 983837195 548486318 999997642 24725914 999999367 24724065 999999925 655113324 999999979 655054259 992051347 719745605 992053116 719743802 984100932 548565529 984102826 548563845 999999974 822301884 999999975 819112456 999990808 15460816 999991419 15455596 999999286 5882731 999999455 5863859 999981420 10437750 999982629 10435112 999991537 18939760 999992877 18937380 999996833 9042053 999999144 9040673 999999948 174137607 999999959 173847690 999999978 769000261 999999980 767405745 992141579 719880276 992144178 719879049 984075012 548721123 984076383 548718797 999991735 78080441 999995247 78079533 999994314 24707565 999998070 24706716 978106074 716062712 978107628 716060660 999999971 627642603 999999983 627376870 999999435 721839878 999999752 721829819 999998169 91268762 999999746 91266740 999998169 91005420 999999746 91003398 999991537 18868463 999994293 18867306 993370215 700660780 993371624 700658517 999999605 25353946 999999895 25342951 999999944 628148094 999999971 628030002 999978188 81505014 999980215 81503441 999993513 30160978 999995682 30159508 999997287 4710113 999999286 4708518 999997287 4492536 999999286 4490941 983656637 548921003 983658966 548919634 999999542 29960028 999999837 29949220 999994156 225567877 999994326 225549122 999999997 643980141 999999998 640791797 999999144 11059318 999999605 11052402 999999837 27574671 999999983 27552834 984089834 548452330 984091734 548450652 998840073 196262074 998841899 196260328 999994105 624765064 999995976 624763360 999993738 624877382 999996307 624876141 999998060 63881501 999999365 63879058 999998060 63688867 999999365 63686424 999998060 62645441 999999365 62642998 999998060 56265403 999999365 56262960 999998060 56126461 999999365 56124018 978094218 716052692 978095921 716050820 999999455 5566872 999999607 5545899 999996307 656772692 999997674 656770360 999996307 650273922 999997674 650271590 999996307 650255423 999997674 650253091 999999948 106554896 999999959 106265093 983656897 548919634 983660197 548918668 984076171 548830224 984078089 548828562 999994156 225161554 999994326 225142803 999999710 1305976 999999947 1292526 984065061 554478623 984066955 554476940 999999884 650527867 999999925 650450121 999995884 80992113 999998169 80990718 999999884 649305762 999999925 649228017 984099677 548456049 984101683 548454460 999999988 85681454 999999989 82493920 999994314 24913623 999995737 24911383 999999286 5544997 999999455 5526136 999999542 29170399 999999837 29159594 999983456 81532667 999985744 81531274 999999605 26606856 999999895 26595866 999999605 26097302 999999895 26086312 999999955 203249057 999999976 203097293 999990808 23387579 999991419 23382363 999989564 133281944 999991271 133280077 993150896 710119277 993163904 710119032 977964319 715748614 977966007 715746726 999999605 26041042 999999895 26030053 999996785 24640489 999998820 24638923 984098399 554482615 984101729 554481658 999999435 720076659 999999752 720066606 999999944 625658085 999999971 625540057 999992801 135236328 999994488 135234439 999999837 27839774 999999983 27817947 978004892 715742122 978006379 715739979 978028436 715815267 978030397 715813642 999999410 230655309 999999909 230648923 999991419 24019550 999991537 23992545 999993326 135242311 999996156 135241185 999990664 78131017 999991746 78128072 999999435 772194431 999999752 772184379 999996307 657033536 999997674 657031205 999999329 734030062 999999435 734000001 999023592 4971094 999025473 4969400 999993606 625189151 999995805 625187702 999992411 133290421 999994956 133289169 999977611 80998036 999979470 80996322 999999144 8656343 999999638 8649893 999981414 81160514 999982957 81158449 999999975 873092239 999999982 872637057 999993414 11013005 999996437 11011951 999998840 30058397 999999605 30054232 998750239 196262140 998752183 196260501 999999314 25338978 999999605 25328029 999993309 625021480 999995710 625020153 998846752 196266035 998848548 196264261 999999837 28702321 999999983 28680499 999999899 21018465 999999943 20946061 999990808 16391175 999991419 16385961 999987082 81523614 999988820 81521781 984097108 548547749 984098818 548545886 999999598 21997078 999999829 21983287 983835230 548532169 983836134 548528645 999999605 25086207 999999895 25075222 978014856 715830906 978016617 715829097 984068474 548564871 984070283 548563110 999999410 229040472 999999909 229034088 999998169 90702750 999999746 90700730 984099502 548573299 984101062 548571257 984093031 548832960 984096094 548831920 999999149 25532350 999999314 25513044 983769237 548547435 983770879 548545495 999991480 80961692 999993146 80959780 978111632 715933007 978113544 715931341 999999969 683272957 999999993 683140237 999977718 81145017 999979398 81143121 999994314 24945378 999995852 24943307 993120443 710124449 993121031 710119032 999990344 135214018 999991845 135211896 983746560 548489703 983748661 548488187 999999997 197843494 999999999 196250956 983771472 548498597 983773189 548496742 984094071 548717381 984095528 548715195 993324228 700621362 993325405 700618656 998984324 91965544 998986010 91963655 999999946 728078257 999999975 727968435 977320359 715065329 977322527 715063860 999079560 91966663 999080637 91963706 984100467 548834736 984102357 548833051 992106424 719755014 992108702 719753616 984031131 548463969 984032375 548461409 999999598 22815449 999999829 22801663 999990808 23814523 999991419 23809311 999981420 9717015 999982629 9714381 984077749 548837492 984079451 548835621 999999987 628900418 999999990 627838953 999999841 639561152 999999884 639487097 978092294 716060324 978095237 716059242 999993513 30113287 999996081 30112047 984082522 548698724 984084319 548696952 999982540 30745841 999984312 30744044 999999923 204716288 999999955 204616780 978103923 716030719 978104654 716026363 999999542 29747025 999999837 29736231 978105322 715991649 978106971 715989718 999983407 30787449 999985338 30785800 999998060 60243598 999999365 60241158 999998060 56500155 999999365 56497715 999103104 81574956 999105340 81573532 999999855 30334093 999999933 30293272 999999975 989980956 999999982 989526096 977979807 715739122 977981669 715737412 999994916 625167334 999996307 625165045 978604404 715742114 978605739 715739729 999999983 772615933 999999985 771023952 999994156 223172292 999994326 223153563 999999997 29967545 999999998 26783652 999999996 29967545 999999997 26783652 999986171 135202663 999987541 135200339 999999607 4761731 999999730 4735846 999011143 4944867 999012952 4943107 999996307 651321112 999997674 651318783 999999367 24682135 999999638 24670387 992123147 719862812 992127063 719861999 999992085 81157597 999993938 81155879 999999999 218281462 1000000000 215098102 999999144 8840886 999999638 8834442 999999919 202056300 999999923 201260474 999999717 14517777 999999822 14487460 999999822 13492054 999999980 13471907 999999822 13041197 999999980 13021050 999999969 704222706 999999993 704090072 983750668 548537608 983752417 548535788 999995738 29988232 999998144 29986909 992127779 719874739 992129430 719872811 992096661 719742648 992098776 719741143 999145908 81586667 999148228 81585295 999987199 133278632 999989562 133277285 978686909 715778533 978688612 715776664 999999944 617540534 999999971 617422649 999998060 63685214 999999365 63682775 999990808 15583381 999991419 15578172 999999943 16904745 999999956 16659923 984085972 548843502 984087260 548841031 999999598 23401952 999999829 23388175 999997287 5140893 999999286 5139301 999998169 195944272 999999746 195942254 999998169 91147906 999999746 91145888 999998169 90851571 999999746 90849553 999998169 90834017 999999746 90831999 983974385 554671942 983976767 554670606 999999948 169561947 999999959 169272645 999979610 81144216 999981414 81142452 998737903 196275310 998739602 196273437 999999993 995502465 999999996 994441744 999999607 6274538 999999730 6248667 999999410 230433885 999999909 230427508 978020111 715747242 978022715 715746020 993237357 700616558 993239289 700614911 999999975 914205927 999999982 913751363 983772153 548544637 983773910 548542826 999999925 640062487 999999979 640003564 998835563 196269814 998839606 196269027 999991419 21852709 999991537 21825745 978103895 715903417 978106463 715902178 999999435 734638254 999999752 734628217 999993242 20318947 999995338 20317429 999993414 11001543 999994855 10999335 999999982 85928570 999999988 85398286 999999925 656936352 999999979 656877433 993095009 710175716 993095979 710172436 999999329 726243612 999999435 726213597 984066214 548823524 984067282 548820545 999996253 24816823 999998367 24815318 999999841 650202528 999999884 650128539 999995397 24827502 999997075 24825606 998758458 196262409 998760109 196260482 993225592 700607758 993228657 700606720 984098142 548848678 984100318 548847216 999999989 173342888 999999990 170161600 999999542 29683486 999999837 29672702 999990576 134191131 999992601 134189560 998828001 196256771 998829715 196254915 984036459 548448535 984039218 548447382 999999410 227952785 999999909 227946410 984077795 548827136 984079866 548825600 999996307 650948088 999997674 650945761 984045155 554479399 984046595 554477190 999999994 760715950 999999995 757535007 999999909 211978536 999999919 211660467 998912323 91965213 998913731 91962954 999999841 650694363 999999884 650620396 999999969 678102460 999999993 677969936 999984987 81545924 999986086 81543030 999975016 133219213 999976780 133217410 999999435 734742121 999999752 734732088 999991419 17301921 999991537 17274968 978611062 715744811 978612420 715742469 999011019 4964875 999012655 4962931 992113975 719868896 992115271 719866442 999999144 9208423 999999638 9201985 992060737 719752870 992062296 719750830 984079469 548723213 984081072 548721229 999998060 63252525 999999365 63250088 999998060 60446079 999999365 60443642 999999925 642841315 999999979 642782421 999999598 19111466 999999829 19097699 978578730 715738653 978580017 715736182 999999946 727968435 999999975 727858774 993358378 700591511 993361505 700590494 993352022 700637149 993353175 700634391 984057516 548466436 984059427 548464772 998753646 196301586 998755398 196299771 999991467 135206121 999993959 135204845 999999931 636487496 999999944 636242897 999990650 135237858 999992096 135235659 999999998 840129072 999999999 836949331 999999989 11762158 999999994 11126217 992125763 719842224 992127467 719840358 979522697 713839711 979524703 713838126 993230574 700595340 993232207 700593393 999989119 135194477 999990652 135192403 999999946 754222689 999999975 754113055 999999144 9734648 999999638 9728212 999981804 30806212 999983480 30804315 999998840 30394670 999999605 30390514 999996023 81537918 999997879 81536205 999994956 133290421 999997828 133289314 999998169 195838246 999999746 195836230 993118507 710113474 993120689 710112017 999999975 820405064 999999982 819950897 999999946 763135412 999999975 763025789 993345634 700614158 993346712 700611209 999999985 750127982 999999986 746949028 999999789 718563190 999999932 718540960 978579297 715816901 978581178 715815211 999999982 82202651 999999988 81672838 999999435 733080531 999999752 733070503 999999946 728602689 999999975 728493073 999980259 81140359 999981854 81138366 999991419 20750792 999991537 20723853 999991419 16527537 999991537 16500598 999999638 24900964 999999758 24874474 999997251 11033275 999998960 11031415 999017267 4967513 999019544 4966117 983970200 554635224 983971963 554633421 999999882 32914385 999999997 32886745 999005367 4966928 999008093 4965762 999981420 10889033 999982629 10886404 999990808 16597322 999991419 16592120 984084936 548592062 984086386 548589870 999999144 9906866 999999638 9900432 999992097 135208458 999993457 135206121 984093918 548707962 984095528 548705988 999117056 81584450 999118808 81582636 984101658 548726524 984102826 548723803 993336913 700601015 993338788 700599320 999999435 719953964 999999752 719943939 999999598 17956669 999999829 17942912 999998840 30681252 999999605 30677098 999990218 133257763 999991921 133255897 999999990 91172983 999999991 87995203 977363002 715076520 977364856 715074806 999143127 4948926 999145219 4947407 977356470 715077587 977359002 715076332 999007434 4960555 999009537 4959044 999999435 775417533 999999752 775407509 999999435 733704274 999999752 733694250 999999435 732242559 999999752 732232535 999994156 230904083 999994326 230885392 999992579 81526161 999994447 81524460 992110172 719853423 992112014 719851698 999999948 190815859 999999959 190527002 999995082 11102671 999996200 11099829 984018225 548464742 984019733 548462635 999981420 10661388 999982629 10658760 984069336 548697980 984071128 548696207 984097953 548553384 984102826 548552732 999986290 26685193 999987911 26683233 999999948 91110664 999999959 90821850 999149955 4949393 999151271 4946979 999999598 24609369 999999829 24595617 999999598 20128080 999999829 20114328 998826167 196269926 998828733 196268688 999998292 624672830 999999476 624670147 999159803 4946461 999161695 4944782 984020298 548451056 984022943 548449855 984089330 548506493 984091378 548504942 983974372 554650312 983976246 554648617 999999882 31516834 999999997 31489213 999998060 63479106 999999365 63476672 999998060 62936350 999999365 62933916 999998060 60038674 999999365 60036240 978116386 715961801 978117839 715959615 978093214 716009565 978094733 716007474 999999841 653711662 999999884 653637797 999997035 10956056 999999144 10954550 999999991 750373201 999999992 747197057 999998169 195324190 999999746 195322176 999998169 91466854 999999746 91464840 983642134 548923414 983644124 548921818 999985074 133280659 999987000 133279010 999999329 734142432 999999435 734112470 999999899 19177138 999999943 19104957 983749631 548519529 983751181 548517480 984086959 548835156 984088892 548833513 999999789 713765226 999999932 713743018 999993552 20248542 999995277 20246701 999991419 20315717 999991537 20288805 978684286 715792366 978685848 715790333 999996307 656609096 999997674 656606773 999999946 764092179 999999975 763982679 999993032 625261062 999994819 625259285 999996668 30082563 999998840 30081101 999104695 81564001 999106487 81562229 999990808 15888277 999991419 15883080 999973329 81149400 999978630 81148801 999124653 81577117 999126024 81574801 999999435 773544568 999999752 773534552 998857091 196277851 998859591 196276581 999999341 7185430 999999588 7172576 999992136 20163434 999993746 20161462 999994009 10892166 999995816 10890409 999999946 736294982 999999975 736185503 998846752 196260696 998849109 196259349 999999710 2902383 999999947 2888987 978577385 715786518 978578350 715783228 999999884 641068983 999999925 640991548 999993032 624860898 999994254 624858300 999981258 135245733 999984080 135244608 999997530 10881745 999999144 10879778 999999899 18822313 999999943 18750161 999999286 4685405 999999455 4666620 999999598 16417196 999999829 16403453 984068029 548561659 984070434 548560339 999999993 726804922 999999994 723630364 999998169 91052155 999999746 91050142 983754738 548538164 983756315 548536151 999998292 623489945 999999476 623487264 984085993 548961057 984087739 548959239 999996307 657878654 999997674 657876332 999996307 651523182 999997674 651520860 999999730 6552682 999999894 6533328 999999996 167933788 999999997 164759736 999982128 80964812 999983840 80962958 999999982 123514249 999999988 122985244 993357429 700639386 993358860 700637168 999999988 164925520 999999989 161751592 984083300 548840627 984085246 548838996 999999710 1681770 999999947 1668378 984090390 548710451 984091732 548708086 999999435 733421830 999999752 733411818 999998060 63812495 999999365 63810063 999998060 56495861 999999365 56493429 999999955 214873587 999999976 214722456 984095537 548508036 984097218 548506148 993229319 700592391 993230384 700589411 999999410 229400456 999999909 229394096 999999999 935603098 1000000000 932429461 999981420 10997975 999982629 10995350 999981420 9929088 999982629 9926463 999131919 91966108 999132851 91962703 983760095 548532860 983762812 548531692 999981625 30785148 999982270 30780228 999999314 26603588 999999605 26592683 999991598 78099339 999994301 78098165 999999991 744095120 999999992 740921873 984091704 554483169 984093361 554481254 998741148 196269741 998742995 196268023 983756658 548550925 983757721 548547940 999980508 78087895 999983848 78086945 999999955 222344731 999999976 222193639 999999995 762381504 999999996 759208577 999998169 90826399 999999746 90824387 999998169 90778045 999999746 90776033 999997129 196161863 999999045 196160207 999999435 772901144 999999752 772891135 978112167 715952439 978113403 715949872 999996307 657573181 999997674 657570860 999999598 18734050 999999829 18720316 999999944 624542804 999999971 624425303 998847220 196276404 998848566 196274047 999997287 4284429 999999014 4282592 984094476 548574091 984096328 548572378 999998840 30086675 999999605 30082528 999981420 10121667 999982629 10119043 977978378 715742843 977979425 715739813 999990808 23669888 999991419 23664696 978486977 716047149 978488637 716045238 999999967 4735044 999999977 4417831 999999144 8133327 999999638 8126906 999979221 80974009 999980910 80972131 993335340 700597604 993337588 700596193 999034505 91965734 999035952 91963542 983972088 554660593 983974058 554658983 999999144 7579520 999999638 7573100 999989932 78072277 999991735 78070518 993359363 700651931 993361166 700650172 999991990 20148413 999993849 20146707 999993400 133259049 999996623 133258065 999999329 732875576 999999435 732845658 999999410 230779973 999999909 230773618 999999989 196019636 999999990 192848509 999999841 654891807 999999884 654818061 999997129 196061837 999999045 196060182 999008362 4975721 999009938 4973709 993348384 700610316 993349660 700607831 999999895 26066665 999999927 25967576 999999730 5302319 999999894 5282985 999982229 135229341 999984080 135227628 978026983 715837294 978029274 715835910 999982812 80980302 999984513 80978438 999153859 4955845 999155414 4953806 993335353 700604672 993336317 700601383 999999884 649098381 999999925 649021050 999994156 225067944 999994326 225049294 993371624 700660780 993373025 700658517 984089834 548449812 984091235 548447549 999988697 81168893 999990439 81167073 978493639 716057899 978495181 716055843 999995091 135228466 999998169 135227436 993349631 700623857 993351453 700622117 999991419 16598730 999991537 16571864 978111208 716035279 978112468 716032763 999996307 656650382 999997674 656648063 999996307 650562528 999997674 650560209 999993389 20042912 999994583 20040257 983759112 548517877 983762360 548516901 984096497 548558246 984098999 548556979 999999435 775397144 999999752 775387144 999999435 732987066 999999752 732977066 999999925 647336162 999999979 647277459 978019940 715856538 978021188 715853998 983970200 554616253 983972120 554614602 999998060 63234501 999999365 63232072 999982447 30778237 999984795 30776887 978000346 715748072 978001707 715745743 999999998 907101166 999999999 903931465 999999605 26281246 999999895 26270316 999999410 230786325 999999909 230779973 999999971 632850800 999999983 632586666 999999982 142759054 999999988 142230793 999999993 889614376 999999996 888557911 993363891 700608463 993365739 700606748 999990808 24068405 999991419 24063218 999990808 15645211 999991419 15640024 993198210 700521290 993198593 700513016 999998504 24808592 999999367 24804920 978116284 715928005 978118577 715926623 999999286 4888870 999999455 4870119 993370472 700681088 993372389 700679435 978012220 715828586 978013443 715825995 978114084 715988495 978115774 715986620 999999789 718188517 999999932 718166358 999996307 651532154 999997674 651529836 999999923 230483554 999999955 230384533 984096632 554477052 984098485 554475342 999999598 19153911 999999829 19140194 999999607 5843937 999999730 5818176 999999789 713974723 999999932 713952565 998846752 196253802 998854634 196253400 999998060 56209916 999999365 56207488 999991419 21088967 999991537 21062115 999999946 771300619 999999975 771191361 978579698 715764852 978582427 715763691 999999882 31416149 999999997 31388598 993333658 700608717 993336116 700607428 993161894 710115403 993163735 710113682 999995423 24935101 999996907 24932966 999024365 4952188 999026158 4950421 999999822 14974270 999999980 14954218 999998169 195370060 999999746 195368051 999999435 774703152 999999752 774693158 999999882 35820871 999999997 35793324 984079916 548840129 984083119 548839140 999987157 81539273 999988765 81537303 999999542 28868518 999999837 28857780 993108544 710114821 993110018 710112672 999999948 193752612 999999959 193464647 993117356 710129994 993118921 710127970 992141536 719861279 992142300 719857133 999999314 26265825 999999605 26254940 999980358 135236371 999984080 135235520 992116696 719744343 992118312 719742383 999999999 777800324 1000000000 774632985 983648220 548909302 983651869 548908434 998999310 4970711 999000749 4968510 999999946 730783860 999999975 730674646 999995306 625284637 999996307 625281473 999993456 135233493 999995472 135231922 984092585 548477634 984094266 548475750 999991419 23765909 999991537 23739071 999999789 717536891 999999932 717514745 999999435 772995411 999999752 772985421 999999909 220793529 999999919 220476849 978019186 715824096 978021786 715822878 999994674 81138539 999996414 81136719 999999329 722881770 999999435 722851895 999984474 135233332 999985951 135231188 999999982 153618187 999999988 153090409 984016353 548459428 984017280 548456012 993360254 700636983 993361429 700634288 999999144 10962175 999999605 10955306 999168981 4836982 999170768 4835210 999999710 187839 999999947 174478 999999144 10028454 999999638 10022044 999999144 8119418 999999638 8113008 999987232 80950371 999989087 80948664 999999822 13733186 999999980 13713145 999999909 218359436 999999919 218042790 999999638 7982929 999999843 7967483 999997287 4586906 999999286 4585322 993137594 710123881 993140115 710122625 999981420 10187641 999982629 10185022 999993414 11093308 999995240 11091574 999996307 656724117 999997674 656721801 998864885 196253852 998867014 196252365 977313453 715060375 977316796 715059428 999989897 133222125 999992186 133220742 999999144 10748878 999999605 10742011 999999598 20640853 999999829 20627149 999995069 625175530 999996307 625172973 999999144 8905171 999999638 8898763 999984644 133243541 999986975 133242183 999984568 134193919 999986294 134192085 999993414 11086842 999995229 11085098 984069871 548953859 984072195 548952497 999999435 732674270 999999752 732664285 999999822 14871866 999999980 14851833 998844092 196257996 998846069 196256395 999981420 10571589 999982629 10568971 999169871 4799778 999171569 4797914 999999789 714299091 999999932 714276958 983760305 548529966 983761950 548528042 999990808 16307330 999991419 16302150 999999993 903326183 999999996 902271222 999999979 650579143 999999997 650403319 999993752 11057574 999996344 11056353 999998840 30593833 999999605 30589696 999998840 30163304 999999605 30159167 999991818 20032273 999993163 20029920 999994156 228239072 999994326 228220456 999993413 20272365 999995338 20270721 999999144 9082763 999999638 9076357 998847364 196272594 998848682 196270193 999999996 958115561 999999997 954951058 999994938 10924933 999996736 10923173 998829715 196256771 998831420 196254915 999999598 23127608 999999829 23113909 993107812 710135632 993108444 710130625 999997287 5015533 999999286 5013950 999997287 4898907 999999286 4897324 978577692 715808909 978579796 715807405 999999948 64806969 999999959 64519295 992057424 719753186 992059398 719751583 999999598 17321501 999999829 17307803 999984638 80957203 999986443 80955450 999999410 231072662 999999909 231066321 999999410 228917683 999999909 228911342 999999969 711345985 999999993 711214146 978116848 715968485 978118694 715966771 999998840 30325984 999999605 30321848 999999990 768125267 999999991 764961283 999974055 135206967 999975886 135205239 999981420 9870840 999982629 9868223 983833410 548527841 983834415 548524693 993235877 700607758 993238831 700606687 999999410 229895479 999999909 229889139 999999410 228823073 999999909 228816733 999999882 34084435 999999997 34056925 999998292 624060303 999999476 624057631 983745794 548506646 983748415 548505439 984100258 548508063 984102282 548506500 978107970 715903640 978109470 715901531 999993414 10937994 999994657 10935449 999973078 133244706 999974914 133242983 993093902 710127307 993095738 710125584 999999837 29467938 999999983 29446271 984082522 548701896 984084220 548700033 999999435 775875764 999999752 775865785 999998060 62843218 999999365 62840794 999990718 133237989 999992241 133235912 999999986 220634812 999999991 220002159 999991476 81506396 999993196 81504557 999999605 26555810 999999895 26544903 999974469 78079796 999976919 78078505 999999837 27201267 999999983 27179603 993326625 700614356 993329732 700613338 983643158 548912246 983645356 548910807 999999996 155886170 999999997 152723339 999997102 24815179 999998745 24813254 978622405 715746055 978624494 715744541 999999605 26015649 999999895 26004743 999999607 6032312 999999730 6006599 984097275 548457488 984099142 548455794 999999841 654275550 999999884 654202001 999999710 1817575 999999947 1804231 978024918 715744004 978026429 715741911 999998840 30557926 999999605 30553792 999997287 4854211 999999042 4852409 999999993 842208974 999999996 841154823 984076249 548461763 984078002 548459959 999975152 134200801 999976421 134198309 999999789 718772768 999999932 718750655 978683847 715745525 978685706 715743824 999115225 81573726 999117056 81571999 993231072 700612769 993232607 700610709 999998060 56082303 999999365 56079880 999999598 18814963 999999829 18801275 999993301 20076052 999995215 20074400 999991419 20946149 999991537 20919353 999996307 650853072 999997674 650850759 992130752 719740655 992132224 719738507 999994156 230306880 999994326 230288281 999999843 9563208 999999936 9529210 999999882 34284990 999999997 34257496 999993889 625271680 999996068 625270229 999981420 10149141 999982629 10146526 999993032 624867170 999994185 624864428 999999996 668311224 999999997 665149714 999997129 196245439 999999045 196243789 999999998 878365938 999999999 875204588 999990808 24627799 999991419 24622625 999990808 23925854 999991419 23920680 999999884 643021706 999999925 642944602 999999410 229230171 999999909 229223836 999999329 734593682 999999435 734563860 999999435 720131031 999999752 720121059 999117579 91965908 999119551 91964305 998748041 196314257 998749577 196312199 999999286 6192889 999999455 6174185 999999717 13236156 999999822 13206052 999994614 625308523 999996307 625306656 999998060 63225422 999999365 63223000 999988309 30801007 999991984 30800147 999999435 732844112 999999752 732834142 999999982 137861896 999999988 137335156 999999925 646316127 999999979 646257602 977359225 715081086 977360624 715078827 977310537 715063573 977312955 715062266 978618860 715746055 978620375 715743969 999991419 23247952 999991537 23221170 999996868 78086457 999998169 78084028 999999598 20610090 999999829 20596410 998989805 91966663 998990603 91962703 999993414 10879243 999995157 10877430 999999946 755627500 999999975 755518534 999999286 4658284 999999455 4639586 983832037 548522919 983833716 548521037 999999925 657315459 999999979 657256944 999999710 756806 999999947 743474 998743393 196277161 998745100 196275310 999015443 4943757 999017351 4942101 993371071 700598147 993373025 700596530 999999975 829258752 999999982 828807393 999977563 133221489 999979999 133220192 999999045 196066735 999999639 196061416 999997129 196060182 999999045 196058533 999990808 24493159 999991419 24487988 999990808 16237102 999991419 16231931 999998060 63835849 999999365 63833428 984069726 548574500 984071067 548572144 999186031 4825129 999188133 4823626 999999996 134475732 999999997 131316427 999991731 16280668 999993668 16279037 999999435 775112470 999999752 775102504 999993414 11101723 999995082 11099829 999971889 135194896 999972678 135190892 999999144 7291678 999999638 7285283 999981420 10297962 999982629 10295349 999990938 78122606 999993214 78121218 983754099 548503892 983757172 548502864 999999789 717690949 999999932 717668858 999999455 5903642 999999607 5882860 999999948 98699255 999999959 98412091 999999329 732832730 999999435 732802930 984065664 548465102 984067377 548463258 999998169 195894775 999999746 195892772 999998169 195661487 999999746 195659484 984077844 548581573 984079673 548579846 999999948 102116645 999999959 101829494 999994156 226435288 999994326 226416708 999999975 886597748 999999982 886146541 999999605 26492879 999999895 26481988 999019577 91966440 999021105 91964373 999118808 81578196 999121735 81577117 999999923 220865598 999999955 220766905 978104208 716034970 978105799 716032985 999978918 81156891 999980391 81154747 999998060 62875094 999999365 62872674 999996292 24884065 999997655 24881748 999999982 19862623 999999983 16704595 983972353 554654607 983974328 554653008 999975007 80992214 999976823 80990475 999992189 133262512 999994845 133261323 999979950 30798773 999981377 30796560 999994186 30076776 999996634 30075486 999991419 22372187 999991537 22345426 999999598 17651127 999999829 17637457 999999923 214715626 999999955 214616947 999998292 623754212 999999476 623751545 999996402 30173752 999997988 30171761 999999410 229510896 999999909 229504568 999179554 4821921 999182341 4820788 999999314 26374796 999999605 26363945 999999435 775849792 999999752 775839831 999999955 226772770 999999976 226622407 999999710 549504 999999947 536181 999982926 81545584 999984458 81543523 999992017 81180523 999994549 81179276 999999993 958475937 999999996 957423480 999972835 135257692 999974631 135255934 992070159 719747319 992075009 719746668 999999982 65194072 999999988 64667876 998738186 196290450 998739860 196288564 992078774 719749154 992080237 719746996 999998169 195286991 999999746 195284989 999998169 91117561 999999746 91115559 999999882 36039056 999999997 36011603 978108029 715970337 978109494 715968182 983761753 548522566 983763101 548520224 999999435 773981782 999999752 773971823 999999144 11113183 999999605 11106335 999999948 110736008 999999959 110449015 998853253 196278989 998854564 196276581 983756221 548502864 983758695 548501588 999998060 63049759 999999365 63047340 999998060 62792012 999999365 62789593 999999930 780414706 999999951 780264383 999994156 230402820 999994326 230384251 999999435 735063405 999999752 735053447 998830990 196280691 998832145 196277958 999999710 2664364 999999947 2651045 984077119 548848678 984078828 548846831 998737899 196257428 998738938 196254390 999979162 80967279 999980704 80965232 999990808 24246985 999991419 24241819 999996307 651508108 999997674 651505799 984090178 548535554 984091805 548533614 999999435 734850416 999999752 734840459 999999925 640486500 999999979 640428050 999156852 4976356 999158116 4973859 999999286 6872568 999999455 6853893 999999435 733389599 999999752 733379643 999999993 888557911 999999996 887505909 999991040 81159649 999992578 81157597 999990808 16418416 999991419 16413251 999999974 934393797 999999975 931238033 999999998 882690182 999999999 879534425 999999435 774663950 999999752 774653995 999999410 227567538 999999909 227561214 999999710 4031523 999999947 4018208 999998840 30204731 999999605 30200606 999999605 25458577 999999895 25447696 999981420 11054099 999982629 11051489 999999882 34818516 999999997 34791077 999999969 676929705 999999993 676798227 999999607 4637197 999999730 4611543 993370424 700670708 993372751 700669352 999999982 170166837 999999988 169640941 978113416 716056417 978114695 716053950 999999329 721857602 999999435 721827837 978021447 715852278 978023372 715850639 999999829 19208927 999999899 19163855 999996307 657914045 999997674 657911737 999996307 656603271 999997674 656600963 999999948 102821246 999999959 102534425 999986963 133241722 999988505 133239676 999999976 199001415 999999984 198607051 999982329 135255130 999984071 135253319 999999789 713856365 999999932 713834304 999985319 30759979 999986798 30757846 999971902 80971323 999973580 80969443 999999994 192557940 999999995 189403393 999999969 665861167 999999993 665729729 999999121 25219658 999999149 25106998 992118234 719879691 992121558 719878742 999995682 30162532 999997588 30160877 999999899 16542297 999999943 16470606 999973365 135221380 999974802 135219185 999999144 7351259 999999638 7344874 999998060 62946760 999999365 62944343 999998060 56033123 999999365 56030706 999998292 624182917 999999476 624180253 999999981 22876839 999999982 19722687 978113327 715982224 978115111 715980456 999982900 78080492 999991735 78080135 999999598 19177898 999999829 19164244 999017102 4966117 999020126 4965074 999990808 24051699 999991419 24046537 978612420 715742219 978615500 715741195 978021110 715830716 978023058 715829097 999999144 9536881 999999638 9530497 978687358 715792053 978688715 715789729 984071826 554484080 984073539 554482239 999999542 29730878 999999837 29720188 999999944 634486696 999999971 634369900 999999930 803422534 999999951 803272370 992115357 719847996 992117200 719846285 999175594 4834144 999177992 4832829 999994266 624993675 999995946 624991798 999999598 21972929 999999829 21959279 999994314 24729679 999999367 24729055 999994156 230698455 999994326 230679908 992137585 719864703 992139416 719862981 984091748 548956369 984093342 548954391 998999752 4951632 999001745 4950050 999998060 63491807 999999365 63489391 999994156 224960768 999994326 224942222 999999975 861091108 999999982 860640717 992054658 719746468 992056724 719744942 984092945 548725225 984095162 548723803 999998169 91043429 999999746 91041430 999998169 90736945 999999746 90734946 999999969 662699684 999999993 662568335 999999948 149212643 999999959 148926064 999996307 650286489 999997674 650284183 999999329 728483584 999999435 728453846 999999986 776806889 999999988 775230796 984095484 548548250 984097108 548546309 999999410 230584907 999999909 230578590 984072747 548717495 984074361 548715542 999999641 643847853 999999644 642797210 999991537 20348703 999993014 20346569 999995747 10975666 999997043 10973234 977359002 715077587 977361622 715076384 999995507 134192259 999998169 134191075 999999598 22390198 999999829 22376554 999999144 7819923 999999638 7813543 999141719 4947407 999142707 4944217 999998060 63522666 999999365 63520251 999998060 62699682 999999365 62697267 999999605 11093575 999999836 11079932 984002966 548449231 984007792 548448578 999999435 777284627 999999752 777274686 999999435 720520349 999999752 720510408 984093282 548495929 984095939 548494743 999999410 230668993 999999909 230662678 999999955 210893834 999999976 210743779 999996292 24885173 999999136 24884065 998840858 196280691 998841899 196277664 999974934 81533329 999976412 81531197 999998840 30312389 999999605 30308270 999996307 656698334 999997674 656696029 999996307 651378555 999997674 651376250 999999983 634202391 999999987 633414666 999994488 135236328 999996156 135234439 999998169 90928537 999999746 90926539 999994156 227719133 999994326 227700599 984072525 548464113 984074098 548462110 999014867 4973686 999016228 4971371 999176332 4832829 999177992 4830931 999981420 9900779 999982629 9898173 999998292 623784445 999999476 623781784 979515811 713841014 979517286 713838878 999999930 807830577 999999951 807680550 983652727 548923046 983654078 548920714 999999994 94458559 999999995 91308059 999001745 4954307 999002534 4950314 992116626 719859223 992118414 719857461 999999638 9858986 999999843 9843618 999999789 715396845 999999932 715374814 999999329 775273717 999999435 775243996 998821720 196280691 998823434 196278853 999998840 30105291 999999605 30101173 999998060 64044894 999999365 64042480 992144178 719875984 992145657 719873854 999999410 228902542 999999909 228896229 999999988 135647416 999999989 132497318 993108899 710131794 993111108 710130368 977957877 715770641 977959129 715768125 999999948 119721131 999999959 119434768 999999588 7087596 999999891 7077200 999999984 19088042 999999985 15938132 993225592 700592391 993226649 700589411 999996015 81527332 999997686 81525447 984068732 548705847 984072699 548705053 999995724 24992707 999997314 24990726 999999144 7989408 999999638 7983032 999999598 20738336 999999829 20724701 999999970 15772989 999999978 15379284 999993580 16349926 999994926 16347586 999994961 78074116 999997260 78072746 999996307 650527368 999997674 650525064 999998292 623809643 999999476 623806983 999982638 78102961 999983702 78100001 999972811 81165606 999975951 81164603 984083324 548587262 984085211 548585593 999994710 30185635 999996071 30183321 998758750 196297734 998760581 196296014 999997827 24977421 999999367 24975376 999998169 196007510 999999746 196005513 999998169 91514059 999999746 91512062 999998169 91154751 999999746 91152754 999999329 727537068 999999435 727507358 977318825 715061112 977320316 715059000 999999946 736450683 999999975 736342098 999998060 62759454 999999365 62757041 999998060 56436147 999999365 56433734 978019186 715822878 978022561 715821945 999165718 4831265 999167451 4829448 999999455 5021235 999999607 5000519 999999542 28852459 999999837 28841785 999999144 7864751 999999638 7858377 999999341 7157922 999999588 7145174 999997174 30067166 999998840 30065276 999993414 11005355 999994545 11002571 999999969 685631200 999999993 685500009 984087053 548833513 984089070 548831952 993368011 700627336 993369450 700625148 983647247 548959811 983649110 548958121 977958338 715762204 977960028 715760341 999997287 4531861 999999286 4530286 999997287 4312842 999999286 4311267 999999286 5320618 999999455 5301989 983769106 548520072 983770770 548518180 978109764 715994814 978111335 715992810 998868477 196264036 998870499 196262479 999996307 657324722 999997674 657322419 993368853 700615065 993372324 700614158 983971317 554619802 983973027 554617961 999999607 5448655 999999730 5423061 992056744 719748793 992058098 719746468 999980336 78086945 999984619 78086210 999999923 201358570 999999955 201260196 999159992 4954231 999161545 4952204 999999986 227453400 999999991 226823817 999999982 126231207 999999988 125706558 999999435 772650318 999999752 772640388 999999843 9348421 999999936 9314574 978579567 715813798 978581623 715812267 999998169 91633917 999999746 91631921 999998169 91441645 999999746 91439649 999999990 174362553 999999991 171214878 999999882 31369666 999999997 31342295 999998060 63017097 999999365 63014685 999999882 36520147 999999997 36492777 999999314 25328029 999999605 25317213 999999894 6658347 999999965 6614017 978685809 715795311 978687641 715793593 999999948 89234643 999999959 88948520 999991537 18919094 999995338 18918266 999999976 210697597 999999984 210304206 999999843 10182853 999999936 10149013 999993513 30132031 999997977 30131326 999996399 133237200 999998169 133235422 999999989 209089432 999999990 205942435 983644518 548925692 983646281 548923907 999009537 4958444 999011387 4956743 999999946 769205479 999999975 769096969 999994912 30196483 999996409 30194381 978115278 715870354 978117870 715869140 993114857 710115096 993116797 710113474 999999789 719079747 999999932 719057743 999997760 24756088 999999367 24754130 999999997 75459141 999999998 72312636 999999995 733771850 999999996 730625422 999999710 2134135 999999947 2120859 999999923 197756709 999999955 197658385 999999999 881563777 1000000000 878417462 999999925 651781648 999999979 651723383 984087260 548846189 984089493 548844780 999999329 734664384 999999435 734634702 992051291 719743607 992053250 719742001 978106404 716020284 978108860 716019003 999998169 91061805 999999746 91059810 999987701 30793138 999989185 30791018 999995906 24686094 999999367 24685185 978581184 715767383 978582427 715764852 993356472 700647850 993358282 700646112 999999598 20966491 999999829 20952873 999994156 222155546 999994326 222137042 993368449 700596778 993369991 700594738 983769268 548553384 983771564 548552014 999996307 657184916 999997674 657182615 999996307 650769679 999997674 650767378 999997120 10945258 999998226 10942414 999999710 2506001 999999947 2492729 984062817 554482637 984065608 554481510 992063496 719748061 992065188 719746202 999966167 3182 999967785 1238 999999598 21861556 999999829 21847940 999989429 26688488 999991199 26686711 999999944 634173849 999999971 634057357 999999286 6758039 999999455 6739428 998739860 196291871 998741518 196289974 999998060 63913414 999999365 63911004 999998060 56633674 999999365 56631264 992110843 719883884 992112099 719881380 999999946 725837430 999999975 725728981 999993460 20173174 999994710 20170658 984091704 554479131 984093361 554477233 999983736 81172789 999985303 81170782 999999435 721359698 999999752 721349777 999999979 649601620 999999997 649426901 978112468 716036347 978114341 716034668 999999884 641217440 999999925 641140740 999991537 16278179 999993247 16276340 999981420 9867394 999982629 9864793 999998169 196017435 999999746 196015441 999998169 195993788 999999746 195991794 999998169 195840240 999999746 195838246 999999836 10910021 999999981 10888335 984088031 548457296 984089834 548455552 984029256 548464469 984031131 548462792 999999598 23027836 999999829 23014224 999999605 30060066 999999855 30047489 999994156 221682680 999994326 221664185 999103104 81581874 999105163 81580347 978489347 716057677 978491085 716055868 999113798 81560186 999117056 81559221 999991537 18862579 999993667 18861103 999999930 792456402 999999951 792306694 998745926 196279207 998747560 196277283 999993513 30201160 999994732 30198581 999998060 63033179 999999365 63030770 978024186 715856739 978025597 715854511 999999435 731940289 999999752 731930372 999996153 29993019 999997521 29990721 999996044 30058506 999997999 30056898 993346900 700614158 993349498 700612948 999999329 726564651 999999435 726534996 999981420 10259105 999982629 10256505 999999909 228308335 999999919 227993996 999999969 714332954 999999993 714201983 984088547 548707805 984090246 548705955 999999314 25842894 999999605 25832093 999985711 133266412 999987409 133264561 993356809 700644802 993358715 700643153 999998169 91597718 999999746 91595725 999999923 225305414 999999955 225207201 999996307 651397723 999997674 651395424 999999955 202578038 999999976 202428386 999999822 14699101 999999980 14679212 999997287 4669505 999999286 4667933 984099273 548716557 984100882 548714604 999998292 623687608 999999476 623684954 999998292 623509076 999999476 623506422 999999144 7237941 999999638 7231580 999999598 15626583 999999829 15612980 979519460 713843421 979522023 713842195 983746239 548517305 983747167 548513919 999991537 16288520 999993559 16286966 999999638 8799394 999999843 8784067 992130752 719755014 992132374 719753077 999999435 775084666 999999752 775074755 999999435 734864804 999999752 734854893 979502469 713838206 979504302 713836492 999999931 629899177 999999944 629657508 999971889 80975657 999972780 80972131 983976727 554652974 983981416 554652304 977355192 715059604 977358269 715058583 999999923 223741966 999999955 223643791 977341117 715074072 977342307 715071432 999999946 766656187 999999975 766547861 999999943 20110601 999999956 19868954 999998169 195385128 999999746 195383136 999996307 656766735 999997674 656764437 999999999 112775345 1000000000 109634004 999999923 213628060 999999955 213529897 999998292 624100465 999999476 624097812 978020516 715744162 978022354 715742453 999994156 225376537 999994326 225358060 999998840 30155359 999999605 30151253 999994095 20266034 999995338 20263507 999993852 9062967 999995652 9061222 978104533 715942480 978106229 715940628 999999925 642276892 999999979 642218726 978109649 715949085 978113078 715948169 993354250 700676321 993356536 700674947 977313695 715072745 977315663 715071149 999995564 24855408 999997205 24853494 999999925 657096590 999999979 657038426 999996936 24757967 999999367 24756675 978615615 715744126 978617262 715742219 998828496 196276485 998829404 196273026 993362584 700603100 993363891 700600697 999999638 7480624 999999843 7465304 978578997 715762092 978581132 715760621 984093486 554481319 984096031 554480085 999993032 624761819 999994434 624759579 999999925 655701191 999999979 655643034 999997287 5053765 999999286 5052194 992106126 719850583 992107862 719848774 999997013 24981091 999999367 24979757 999999435 733020074 999999752 733010168 999999435 720391793 999999752 720381887 978118165 715903640 978119718 715901618 984086191 548542851 984087521 548540490 999999841 657561051 999999884 657488026 999021105 91964742 999022645 91962703 978013362 715815012 978014830 715812873 992101660 719742220 992103734 719740706 999996307 650876409 999997674 650874112 999998292 623437532 999999476 623434880 978118471 716008681 978119718 716006163 999104245 81579807 999106025 81578043 999999455 5103467 999999607 5082810 993104104 710114371 993105963 710112682 999998060 56298136 999999365 56295730 999998169 195729159 999999746 195727168 999998169 91211049 999999746 91209058 999998169 90610636 999999746 90608645 983976084 554678989 983977577 554676886 984063709 548462281 984065664 548460675 984080313 548459959 984081604 548457527 993130814 710131765 993132569 710129976 993150896 710131388 993152686 710129634 978115618 715932422 978116989 715930132 998818551 196256391 998820343 196254639 999972848 78090633 999976432 78089757 999999980 9629470 999999987 9180962 993335658 700619684 993337555 700618029 999994045 30143424 999995795 30141630 992049607 719754562 992052597 719753512 999993746 20163434 999995338 20161462 999999995 108622040 999999996 105482630 999999899 15947752 999999943 15876402 999999329 728057277 999999435 728027661 999999598 23989942 999999829 23976352 978685398 715750515 978686792 715748263 999999946 733840055 999999975 733731804 978106036 715986933 978108160 715985455 983757721 548550364 983759895 548548920 999999997 160006612 999999998 156867518 983653106 548908532 983654908 548906790 999999607 5874400 999999730 5848879 977366706 715070798 977369296 715069586 984093182 548723803 984095528 548722465 999999435 772640388 999999752 772630486 998746821 196282517 998748626 196280778 998752237 196302638 998755398 196301645 999999923 209119317 999999955 209021228 999999598 22955371 999999829 22941783 999999605 10749816 999999836 10736228 978631831 715739059 978632922 715736182 999998292 624539649 999999476 624536998 998839121 196272537 998840787 196270653 999990808 15754122 999991419 15748985 999999623 26711736 999999920 26701168 999996307 650444191 999997674 650441895 999987271 78095943 999988904 78094021 999992072 20036265 999993694 20034330 999981420 9843693 999982629 9841097 999998060 60514708 999999365 60512303 984091235 548449000 984093398 548447549 999993999 30188977 999995855 30187286 983768848 548500920 983773910 548500300 999999144 10142079 999999638 10135726 999999435 774571670 999999752 774561770 999999946 770307348 999999975 770199132 999999841 643891804 999999884 643818822 992119726 719878247 992121558 719876534 999999410 229333679 999999909 229327390 999996442 24661569 999998217 24659801 999995362 78072746 999996569 78070146 978005627 715738383 978007406 715736619 983747117 548529019 983748410 548526592 999999045 196250955 999999639 196245672 999990808 16341784 999991419 16336648 978103895 715932528 978106339 715931244 984081636 548838913 984083119 548836797 984073569 548831250 984076171 548830044 993155197 710111939 993156983 710110182 978110899 715943086 978112716 715941359 999999598 15442954 999999829 15429370 998841899 196258938 998845230 196257996 977958118 715782582 977960885 715781448 998751054 196315126 998753645 196313915 999999944 632968717 999999971 632852507 999998292 624286918 999999476 624284268 984101291 548482047 984102826 548480003 984070792 548702967 984072224 548700776 999999605 26255386 999999895 26244567 999983483 133277016 999985282 133275272 984062368 548453015 984063867 548450922 998868535 196273337 998870130 196271370 999999999 681284869 1000000000 678147529 984093682 548467113 984095595 548465473 999998060 63449563 999999365 63447159 999999329 775791230 999999435 775761634 999999923 227162186 999999955 227064150 999999925 654340721 999999979 654282626 999971889 81140461 999973180 81138031 999005708 4975899 999008362 4974717 993228129 700599328 993229219 700596450 999999598 23295265 999999829 23281685 999999882 38624956 999999997 38597678 999981009 78072284 999982631 78070350 999994314 24862148 999995958 24860240 999999149 25151909 999999314 25132899 999999993 93554417 999999994 90417789 999991419 21910477 999991537 21883896 977991092 715744938 977992625 715742892 998753645 196315126 998756303 196313946 983658755 548949106 983660197 548946931 999127020 81585879 999128522 81583791 999999997 996839878 999999998 993703895 999998060 59927857 999999365 59925454 999998060 56238343 999999365 56235940 999996307 650950747 999997674 650948453 999994221 80986252 999996146 80984623 999172749 4841478 999175464 4840323 993228945 700623673 993230509 700621668 999994156 222294694 999994326 222276248 998862131 196262925 998863876 196261128 999990808 15982040 999991419 15976908 984096059 548854150 984097626 548852149 999999542 29054433 999999837 29043804 977985379 715743365 977986134 715739212 999999435 734558025 999999752 734548134 999999435 721800693 999999752 721790802 999999946 754888782 999999975 754780664 999999979 640672194 999999997 640498004 998990224 4959230 998992839 4958031 992134648 719749673 992138385 719748834 993240333 700612354 993241607 700609893 999996747 30006743 999998840 30005245 999991537 18963517 999993637 18962024 992048200 719876951 992049935 719875144 984088452 548593930 984091455 548592886 999975180 78102915 999976824 78101008 999990808 15589974 999991419 15584843 992114974 719860911 992117188 719859495 999999455 6079828 999999607 6059203 999991419 21054263 999991537 21027696 999996727 11046719 999999144 11045422 999994156 230741180 999994326 230722740 999011255 4962744 999012687 4960555 999998060 63556725 999999365 63554323 999985625 80961519 999987864 80960119 978103944 715896348 978104492 715890628 999994635 10984887 999996918 10983514 999999965 9176462 999999975 8863007 999996307 657811686 999997674 657809393 999999955 200183943 999999976 200034680 984021324 548456865 984023002 548454997 999999946 726287528 999999975 726179442 999994993 135209987 999997043 135208458 984086373 554476157 984087902 554474107 978106804 716000089 978107697 715996579 999043446 91966663 999044323 91963089 999999710 1442359 999999947 1429134 999994385 24898623 999996071 24896764 999993032 624927368 999994891 624925682 979524703 713845082 979526187 713842970 999999998 834736187 999999999 831602041 999180652 4837697 999182375 4835878 978482067 716046795 978483558 716044693 999999993 199384991 999999994 196250956 984097218 548509637 984098826 548507688 999994817 11060896 999997583 11059763 999999435 733265826 999999752 733255940 999993032 625242410 999994929 625240758 999999946 743096206 999999975 742988146 999981420 9609848 999982629 9607256 999999995 166252255 999999996 163118536 999999983 770780381 999999985 769213592 993098549 710170145 993100550 710168579 999999946 723855126 999999975 723747073 999998169 91149893 999999746 91147906 978118958 715992943 978119718 715988820 999999710 1111772 999999947 1098551 999996244 30007950 999998840 30006743 999998060 62775468 999999365 62773067 999998060 56493429 999999365 56491028 999999884 650656300 999999925 650579878 999999435 733243528 999999752 733233644 999996307 657623523 999997674 657621231 999985340 80952582 999987232 80950926 999978885 135236669 999980358 135234542 999999971 638757624 999999983 638496537 999999329 777773574 999999435 777744017 993352823 700618645 993356616 700617819 978094483 716024709 978096828 716023373 999999542 29357563 999999837 29346943 999999969 688357461 999999993 688226929 999168648 4824578 999170019 4822293 999993032 625149681 999995312 625148307 983836585 548541710 983838209 548539781 999999435 777216125 999999752 777206243 999995018 10945258 999996742 10943441 992059569 719750543 992061359 719748793 984072567 548571266 984074317 548569476 999999144 9673094 999999638 9666753 992133345 719848584 992135473 719847112 978021962 715859406 978023797 715857699 999971889 80951298 999975829 80950503 999999329 734693933 999999435 734664384 993095706 710134812 993098184 710133548 999999946 767154612 999999975 767046606 999977316 80983318 999978697 80981050 999998060 63000203 999999365 62997803 999999144 9679434 999999638 9673094 999998169 90966894 999999746 90964908 999999992 218281462 999999993 215149636 993363891 700610107 993365796 700608463 999996307 657312364 999997674 657310073 999974595 80971133 999976206 80969189 999988981 81156223 999991040 81154702 999999435 774271052 999999752 774261173 993121799 710118798 993123379 710116816 999999855 30291216 999999933 30251068 999993532 20064585 999995147 20062646 999999946 776719285 999999975 776611305 999999925 645914901 999999979 645856913 999978562 133241564 999980956 133240256 999999435 774018911 999999752 774009033 999985556 78089877 999987286 78088067 983650488 548944895 983652143 548943003 983979388 554687209 983981416 554685665 977363297 715074459 977365197 715072811 993362409 700638903 993364221 700637175 999999329 722355631 999999435 722326092 978112192 715920081 978113953 715918303 999999329 733044964 999999435 733015426 983975757 554608524 983977995 554607125 999993100 18882975 999994634 18880934 999999970 22207305 999999978 21815956 999994819 625260932 999996307 625258828 999998060 60254963 999999365 60252564 999999542 26764319 999999623 26725669 999984980 133249003 999986858 133247336 999999975 778648120 999999982 778200899 999999925 654282626 999999979 654224653 992075629 719744417 992077588 719742819 999999822 15213305 999999980 15193492 999997287 4880324 999999286 4878758 999996307 658026270 999997674 658023980 999996307 651457017 999997674 651454727 999983335 133294995 999985155 133293275 999999435 721302859 999999752 721292984 999998169 91509017 999999746 91507032 999999979 644512316 999999997 644338412 999999999 20525930 1000000000 17395748 993110018 710114039 993111756 710112238 999999976 198320860 999999984 197929593 999999930 793837635 999999951 793688581 999999993 693286861 999999995 691721805 999986546 81156223 999988283 81154421 999999435 775235283 999999752 775225409 999997852 30165816 999998840 30162648 999999946 753203122 999999975 753095193 999992269 18944760 999993735 18942625 983832037 548530747 983833526 548528645 999998060 63729075 999999365 63726677 999997372 10950819 999999144 10949053 999993032 624894693 999994844 624892966 999998292 624049736 999999476 624047093 977333817 715059929 977335342 715057877 992129430 719873465 992131098 719871589 999999605 25251130 999999895 25240340 999999996 691347410 999999997 688218337 999999542 29487383 999999837 29476776 999996307 658073756 999997674 658071467 999996307 656706638 999997674 656704349 984071909 554476562 984073724 554474838 999995711 133253386 999998169 133252113 999999930 798780670 999999951 798631674 999999884 648645963 999999925 648569648 999141807 4967732 999143373 4965734 999999837 29677944 999999983 29656514 999998169 195890092 999999746 195888108 999998169 195563348 999999746 195561364 984100327 548472498 984102826 548471246 978026933 715842236 978028506 715840247 999024218 4967047 999026464 4965654 999974886 135188728 999976781 135187077 999999975 967166467 999999982 966719518 999999969 668901988 999999993 668771629 999999894 5621427 999999965 5577363 999999144 7420327 999999638 7413994 999983216 133269807 999984781 133267808 999999992 775110728 999999993 771982315 999999822 14847403 999999980 14827603 978023250 715819225 978024834 715817250 999071433 91966663 999072223 91962703 999994048 80968412 999994917 80964812 999127650 81560575 999129751 81559086 984086883 548703776 984088547 548701896 999990808 15816645 999991419 15811525 999991537 20146707 999994610 20145689 984048204 548457895 984049681 548455777 999999993 936310827 999999996 935268082 999999997 697172259 999999998 694044037 999997687 11043349 999999144 11041202 984094960 548582721 984097312 548581391 999998292 623856198 999999476 623853556 999973787 134186815 999976210 134185524 999998060 56132558 999999365 56130161 999999976 200774676 999999984 200383668 999982169 135196033 999983630 135193892 999999909 214130430 999999919 213817633 999999990 159838283 999999991 156710456 983648445 548945882 983651614 548944895 984084173 548859032 984085376 548856432 984086385 548465111 984088335 548463507 999999923 210551753 999999955 210454011 999999598 20287308 999999829 20273768 999996307 657643997 999997674 657641709 999996307 657556151 999997674 657553863 999996307 656653117 999997674 656650829 999996307 650313138 999997674 650310850 999999969 687888617 999999993 687758298 999999936 7293280 999999965 7185431 999999993 949984897 999999996 948942365 999996747 9046748 999998443 9044904 999999314 26087794 999999605 26077047 979502395 713845436 979504435 713843903 999999993 167105043 999999994 163977741 984066300 548462654 984067967 548460778 999996067 24761776 999997493 24759583 999998169 91414070 999999746 91412087 999998169 90885553 999999746 90883570 999998169 90809183 999999746 90807200 984079013 548956624 984080696 548954766 992101660 719749009 992103453 719747265 999999144 11074340 999999605 11067557 998851944 196258129 998853885 196256518 999989808 64117498 999991257 64115340 999992002 80974493 999993798 80972752 978028589 715854340 978029975 715852084 984079170 548822129 984081144 548820545 999998060 56642116 999999365 56639720 999998207 10984887 999999144 10981550 978026455 715828410 978027978 715826357 999999329 722178087 999999435 722148590 999999899 22913226 999999943 22842166 999999979 645785117 999999997 645611416 983640392 548907525 983641292 548904051 978014027 715836628 978015764 715834828 999982820 26685194 999984621 26683458 999981420 10882632 999982629 10880046 999999975 962547285 999999982 962100646 999994156 228997304 999994326 228978913 999999946 734911686 999999975 734803878 993360012 700655154 993361612 700653200 999169440 4812166 999171264 4810452 999985998 135192403 999987802 135190670 998832742 196268717 998834361 196266786 999999329 731701450 999999435 731671957 978105518 715949415 978108027 715948169 993118921 710121225 993120443 710119171 983973146 554645012 983974390 554642499 999999923 230751028 999999955 230653336 999999598 24311130 999999829 24297597 999999542 28987609 999999837 28977012 999976698 78070350 999979345 78069169 999991203 80954581 999995160 80953791 999999435 771786853 999999752 771776992 999997290 24751084 999999367 24749579 978688258 715813986 978690297 715812453 999999931 623768288 999999944 623527847 999999789 716800711 999999932 716778853 979511816 713840119 979513483 713838244 999998169 195533384 999999746 195531402 999996939 30001760 999998663 29999947 999999710 1283777 999999947 1270589 984077469 554475573 984079601 554474107 984087391 548569875 984089523 548568409 999993824 624939275 999995680 624937591 999998060 62648931 999999365 62646536 999993032 624892103 999994994 624890510 999999955 229685509 999999976 229536679 999172542 4826384 999174693 4824931 999999884 644697152 999999925 644620923 984045188 554474657 984046785 554472700 984098647 548482083 984100593 548480477 999999410 231078925 999999909 231072662 999996307 658044552 999997674 658042266 978110747 715998533 978112464 715996713 984008700 548461073 984011662 548460018 999994410 81176590 999995495 81173710 999999329 733155529 999999435 733126050 999999946 726504501 999999975 726396751 977368083 715077511 977369296 715074935 999999435 772204288 999999752 772194431 999997287 4326530 999999286 4324967 999999121 25426303 999999149 25314720 999999410 228896229 999999909 228889968 999999993 706533487 999999995 704971382 999981420 10561584 999982629 10559000 999988101 81175694 999990219 81174219 999999542 29466650 999999837 29456060 999994328 11083226 999996099 11081462 999990808 23248991 999991419 23243878 999993274 625311071 999994575 625308670 999993504 10992708 999995252 10990921 999999710 2265930 999999947 2252750 978117279 715940938 978119349 715939429 977990981 715741331 977992625 715739431 999996307 656853947 999997674 656851662 999991419 15772702 999991537 15746231 992129465 719750905 992130752 719748478 999972780 80975657 999976061 80974705 999983096 30764927 999984778 30763070 983748817 548507478 983751141 548506134 999980655 81173352 999982647 81171784 999999435 774410943 999999752 774401090 999994156 224258142 999994326 224239770 999999638 9298344 999999843 9283109 999997129 196229107 999999045 196227477 999997568 24932200 999999367 24930464 999995704 10923016 999997393 10921167 999973846 81536729 999976161 81535380 977349978 715067471 977351857 715065809 999999542 28322282 999999837 28311696 999998060 63317226 999999365 63314833 999999925 644253506 999999979 644195677 999999710 1541273 999999947 1528097 983653725 548916796 983655097 548914520 978116710 715969863 978118976 715968485 999999990 772778070 999999991 769655537 999999841 651766900 999999884 651694283 993367033 700648353 993368859 700646643 999999435 720031117 999999752 720021267 999973409 133219525 999975016 133217582 999999730 4660962 999999894 4641923 999999993 872997915 999999996 871957122 999999946 745331637 999999975 745223972 999996307 657723260 999997674 657720976 999996307 657093089 999997674 657090805 999999829 17518044 999999899 17473442 983973126 554600949 983974092 554597717 999999882 32773974 999999997 32746826 984068804 548568409 984069948 548565680 999995058 80998303 999996494 80996129 999999789 719026083 999999932 719004252 999999969 706278146 999999993 706148070 999999435 735241777 999999752 735231929 999997287 4289714 999998944 4287830 998854634 196265563 998856291 196263679 977342307 715068245 977343864 715066240 999994036 133228189 999995100 133225255 983747167 548515729 983748519 548513420 999997287 4696024 999999031 4694234 984073963 548828533 984075600 548826626 999994671 11050836 999995940 11048376 999988691 81508960 999989400 81504557 999029072 91965190 999030609 91963159 999990267 30766092 999992607 30764758 977361622 715075073 977363002 715072811 999998060 63455735 999999365 63453343 999994156 231248591 999994326 231230229 999999598 23648537 999999829 23635024 999973201 78099902 999974872 78098034 984092091 548721208 984094398 548719855 984091820 548514555 984094127 548513202 999997633 30061577 999998840 30058991 999999996 825106631 999999997 821985407 984069871 548955944 984072195 548954601 983757692 548528042 983761950 548527309 999999971 628579168 999999983 628319076 999993032 625322879 999995332 625321522 999999286 4838271 999999455 4819803 978480270 716055501 978483015 716054364 984089743 548523782 984090911 548521110 999999843 7451352 999999936 7417794 999998169 195341057 999999746 195339078 999999882 38710036 999999997 38682898 999999435 773658182 999999752 773648337 999999435 731799004 999999752 731789159 998876365 196275879 998877757 196273637 999996307 651411630 999997674 651409347 999983456 81535168 999985744 81533804 999999710 2469042 999999947 2455874 983656133 548949106 983658063 548947489 999108055 81562718 999109894 81561021 993359343 700663114 993361727 700661805 999999989 203165628 999999990 200044986 984074794 548592881 984077354 548591662 978019549 715811669 978021258 715809843 999981420 10986000 999982629 10983419 978113810 715998727 978115983 715997291 999990808 15568679 999991419 15563572 999999710 1188646 999999947 1175480 993347206 700687307 993349070 700685633 977957699 715742145 977961201 715741254 999978099 133230359 999983651 133229797 999999542 27211692 999999837 27201115 999992193 81169440 999994125 81167825 999999946 737266861 999999975 737159269 999999982 105360498 999999988 104840490 999995689 78123879 999998169 78122621 999999367 24889976 999999638 24878464 999999144 10195955 999999638 10189640 999995041 10895110 999996703 10893233 999011019 4976636 999012920 4974995 999997488 4459010 999999286 4457275 999994430 81147927 999996440 81146375 999999925 657466680 999999979 657408912 999983630 135196033 999985087 135193892 999999946 752554820 999999975 752447254 983835961 548522261 983837674 548520440 978099925 716053773 978101794 716052104 999999969 663234449 999999993 663104477 984086375 548535961 984088003 548534045 978617262 715740025 978619085 715738314 999999341 7092655 999999588 7080027 992063329 719740368 992065005 719738507 999999829 21676558 999999899 21632001 999984386 133259049 999984644 133246960 978485894 716055501 978489205 716054559 999999598 16620676 999999829 16607174 999998060 62956915 999999365 62954525 999981854 81137956 999984066 81136546 999999993 195708254 999999994 192589380 999999476 627309019 999999484 626919167 977959129 715770641 977961118 715769073 999999329 720902099 999999435 720872677 999999996 20590265 999999997 17471544 999999638 9003805 999999843 8988592 999999983 768095030 999999985 766535713 999185626 4831740 999189846 4831001 998818811 196264121 998820748 196262511 999999837 28115082 999999983 28093722 999991441 26678906 999992405 26675671 998868610 196275205 998870392 196273455 993164021 710111021 993165770 710109238 999981238 133269807 999982798 133267808 999997287 5100041 999999286 5098481 977957699 715768125 977960413 715766976 999994156 223488104 999994326 223469761 999999982 72479524 999999988 71959815 999999329 722912279 999999435 722882862 999993585 30023305 999996280 30022148 978101700 716041602 978103556 716039922 999989548 78096000 999991598 78094479 999992290 133257763 999993400 133254954 999999925 641035438 999999979 640977698 984081406 548589870 984082135 548585593 999999975 789326432 999999982 788881017 999999789 714995874 999999932 714974071 999998169 195770256 999999746 195768279 999998169 195490331 999999746 195488354 984085066 548450884 984086865 548449151 999998060 63977120 999999365 63974731 999998060 56142488 999999365 56140099 999999946 739367043 999999975 739259541 999999923 217345836 999999955 217248413 999994314 24671513 999996292 24669937 999990808 24336593 999991419 24331491 999999971 625177122 999999983 624917354 984076171 548827136 984077540 548824859 999999829 19342845 999999899 19298314 999999975 888750223 999999982 888304914 999137275 81569973 999139114 81568278 999999999 3116867 1000000000 1 999999998 3116867 999999999 1 999999997 3116867 999999998 1 999999996 3116867 999999997 1 999999995 3116867 999999996 1 999999994 3116867 999999995 1 999999993 3116867 999999994 1 999999992 3116867 999999993 1 999999991 3116867 999999992 1 999999990 3116867 999999991 1 999999989 3116867 999999990 1 999999988 3116867 999999989 1 999999987 3116867 999999988 1 999999986 3116867 999999987 1 999999985 3116867 999999986 1 999999984 3116867 999999985 1 999999983 3116867 999999984 1 999999982 3116867 999999983 1 999999981 3116867 999999982 1 999999980 3116867 999999981 1 999999979 3116867 999999980 1 999999978 3116867 999999979 1 999999977 3116867 999999978 1 999999976 3116867 999999977 1 999999975 3116867 999999976 1 999999974 3116867 999999975 1 999999973 3116867 999999974 1 999999972 3116867 999999973 1 999999971 3116867 999999972 1 999999970 3116867 999999971 1 999999969 3116867 999999970 1 999999968 3116867 999999969 1 999999995 122158401 999999996 119041738 999999598 23388175 999999829 23374683 977328655 715066139 977330498 715064448 999999948 129182320 999999959 128899007 999998060 63552141 999999365 63549753 984070496 554484491 984071826 554482148 999991537 18980984 999994149 18979791 999999435 776403735 999999752 776393905 999999435 774368966 999999752 774359136 984089474 548712643 984091151 548710785 999999996 783255420 999999997 780139596 999999988 157717964 999999989 154602160 999999971 617821689 999999983 617562042 999992765 135238250 999994386 135236328 999999435 721737438 999999752 721727610 999999946 772882401 999999975 772774972 999996722 81512922 999998169 81510769 999990043 81506731 999991476 81504557 999999997 57281755 1000000000 56243308 999997982 11013432 999999144 11010751 999994384 625163572 999996307 625161952 999999948 65090169 999999959 64806969 978688815 715743824 978690297 715741722 999999884 651913078 999999925 651837099 999998292 624141547 999999476 624138916 999999982 100814124 999999988 100294943 999998060 64040586 999999365 64038199 999998060 59867133 999999365 59864746 999144110 4962862 999145353 4960356 977335342 715066399 977336916 715064420 999135797 81573861 999137453 81571980 999999993 848731380 999999996 847693080 999996044 134202511 999997418 134200244 999165154 4822978 999167102 4821379 999999991 763701139 999999992 760586339 999996847 24722888 999999367 24721652 999998169 90796556 999999746 90794581 999995491 30044581 999997356 30042911 999997287 4431700 999999131 4430011 999999946 748659109 999999975 748551715 999981420 10517340 999982629 10514764 999995986 10875660 999998518 10874430 999999822 14427290 999999980 14407579 999990808 24519469 999991419 24514372 999983918 81141754 999985652 81139958 999999410 228190646 999999909 228184405 999997626 4849163 999999286 4847287 999999919 209366559 999999923 208588028 999999982 140159379 999999988 139640360 999999882 33250736 999999997 33223657 999999329 724908139 999999435 724878761 999994156 225250886 999994326 225232568 999996307 651494500 999997674 651492222 999991419 22420458 999991537 22394069 999999435 774552718 999999752 774542895 978012610 715746769 978014820 715745360 999999884 651026522 999999925 650950574 999999329 730711534 999999435 730682158 999999925 649683539 999999979 649625875 999999976 206946483 999999984 206557254 998818135 196272318 998820140 196270765 999999410 227516023 999999909 227509783 983640534 548935940 983642178 548934046 999998060 60361801 999999365 60359415 999999144 8304797 999999638 8298494 999990808 15515611 999991419 15510515 999115339 91964093 999117579 91962703 999999948 145642360 999999959 145359306 999999435 721379132 999999752 721369310 978015726 715823313 978018002 715821945 999999975 954523031 999999982 954078256 999994382 29992729 999996153 29990971 984096213 548825359 984098142 548823745 999994156 226566340 999994326 226548026 978604404 715739064 978606212 715737342 993098388 710187032 993100550 710185592 983975922 554612504 983977794 554610841 993353035 700610118 993355246 700608710 978015726 715819120 978017429 715817292 999993032 624814406 999994051 624811351 999998169 195538868 999999746 195536894 999998169 90953030 999999746 90951056 999994537 80963526 999996114 80961552 999999894 4634915 999999965 4591070 999994189 10965947 999995656 10963825 999149746 4946392 999151344 4944444 999999882 35516592 999999997 35489524 999999969 714201983 999999993 714072286 999999598 16772855 999999829 16759380 999999638 8130331 999999843 8115147 998743818 196265809 998745100 196263381 999996307 657082291 999997674 657080014 999996307 656949796 999997674 656947519 977958573 715765207 977960120 715763195 984097203 548571051 984098446 548568547 984072647 548958986 984074258 548957054 999117598 81569350 999119029 81567175 998844259 196261799 998846057 196260068 999999435 777800324 999999752 777790506 999980631 30754387 999982812 30752960 999999144 9362571 999999638 9356271 978010747 715861262 978012476 715859462 999990137 133217456 999992520 133216150 999994156 225116118 999994326 225097811 999999948 130707687 999999959 130424763 999999435 732136000 999999752 732126183 999179674 4817767 999184126 4817068 992114736 719889593 992116897 719888153 999999588 7044912 999999891 7034642 998828280 196254915 998829066 196250956 999999992 22876839 999999993 19765103 999995053 133293485 999996672 133291563 999999944 629296768 999999971 629181520 999994156 229614870 999994326 229596566 999999975 771230511 999999978 770193287 999999314 26537441 999999605 26526748 999997287 4563362 999999126 4561670 999997129 196041799 999999045 196040175 999994201 624889715 999995668 624887594 993092051 710116497 993093755 710114671 978101212 716035086 978102732 716033039 999999435 721874446 999999752 721864631 999999946 752311953 999999975 752204667 999996307 656963426 999997674 656961150 999990808 23800961 999991419 23795869 999999975 918675598 999999982 918231147 999999996 100144167 999999997 97033014 999998060 63758030 999999365 63755646 999998060 60231713 999999365 60229329 999999884 648325795 999999925 648249915 998997403 4962229 998999571 4960794 999999969 713516913 999999993 713387286 999999435 720667949 999999752 720658135 999993414 11024936 999994470 11021990 998741253 196306836 998742514 196304369 999972859 134205170 999979607 134204709 999993414 11103588 999995082 11101723 999999410 230294804 999999909 230288570 999999996 85703270 999999997 82592528 999999435 735154788 999999752 735144975 998846083 196252754 998847813 196250956 999999542 27039658 999999837 27029114 999999971 623368613 999999983 623109414 984087929 548545939 984091736 548545122 993348894 700601397 993350715 700599689 998758631 196309024 998760581 196307429 999999329 722667222 999999435 722637881 999991419 22536295 999991537 22509938 999999946 744517371 999999975 744410127 999999994 776250547 999999995 773140685 999987531 78109166 999988904 78106901 999998169 90788646 999999746 90786674 993129085 710113108 993130862 710111358 999016906 91966420 999018561 91964541 998875531 1656 998877410 1 999998840 30371307 999999605 30367242 984024733 548454287 984026604 548452625 984088379 548958214 984091588 548957245 999999598 19537282 999999829 19523821 978579430 715796337 978581820 715795036 999999975 793172065 999999982 792727869 978498854 716052331 978500259 716050118 999999144 8725517 999999638 8719223 999999975 831517284 999999982 831073110 999998292 624435475 999999476 624432849 999998292 624233221 999999476 624230595 999999435 720196561 999999752 720186753 999999899 17159017 999999943 17088355 993091857 710124252 993094256 710122956 999999843 9314574 999999936 9281143 999999638 8632305 999999843 8617139 999999598 17275850 999999829 17262391 993361479 700684547 993364390 700683479 993365987 700593973 993367782 700592241 999999946 773160915 999999975 773053711 999999410 230086056 999999909 230079826 999988661 78087666 999991291 78086484 999995391 11017159 999997764 11015849 999946045 1981 999947615 1 999996307 656868033 999997674 656865759 999996307 651429817 999997674 651427543 999996307 650970266 999997674 650967992 983658554 548939022 983660197 548937130 999991848 30794421 999993513 30792554 999999946 760973503 999999975 760866312 999998060 63563148 999999365 63560766 999999836 11045622 999999981 11024184 999998060 63361309 999999365 63358927 999997287 4342760 999999286 4341205 993333241 700592251 993334526 700589832 998737868 196260984 998739932 196259478 999999884 652608301 999999925 652532487 978118495 715874813 978119697 715872227 978116989 715934535 978118903 715932911 999991255 81148803 999992076 81145017 999979607 134202164 999982324 134201020 999142147 4952446 999145071 4951383 999999435 733793459 999999752 733783654 999999435 732755478 999999752 732745673 978103895 715887897 978105816 715886279 999051024 91966663 999052793 91964906 999130641 81576906 999131821 81574272 992125632 719874283 992127176 719872270 984088118 548503681 984089891 548501928 999999976 219167559 999999984 218779070 993347584 700682281 993348598 700679216 999999948 156786972 999999959 156504436 999999955 225303111 999999976 225155117 999999841 655556240 999999884 655483967 999999598 18219474 999999829 18206021 977961688 715748823 977964053 715747509 992124794 719860501 992126704 719858874 999999435 776896826 999999752 776887023 999999435 776460625 999999752 776450822 999175469 4817170 999177965 4815925 984084045 548827634 984085781 548825844 999993640 20218036 999995338 20216206 999999314 25454924 999999605 25444246 999994156 224744073 999994326 224725795 999164772 4806165 999166105 4803834 999981420 10651559 999982629 10648989 999983344 78113571 999985478 78112115 999994264 625048169 999995889 625046257 999999995 201347096 999999996 198240151 999994156 222027755 999994326 222009479 999998292 624877446 999999476 624874822 999998292 624843753 999999476 624841129 999998292 624381498 999999476 624378874 999999930 786292575 999999951 786144632 999999997 202989386 999999999 201436013 999999979 654010114 999999997 653837518 999999960 4057023 999999965 3435678 999999598 20952873 999999829 20939424 999999946 721784320 999999975 721677192 999998169 91372650 999999746 91370680 999999435 774533216 999999752 774523416 999999435 772153790 999999752 772143990 993367594 700679435 993368505 700676025 999994156 223989478 999994326 223971205 978105716 715961343 978107610 715959703 999994156 222894286 999994326 222876015 993357086 700620430 993359303 700619029 983770228 548493628 983772695 548492369 998754410 196277191 998756125 196275380 984072751 548836647 984074979 548835253 999996307 650818018 999997674 650815746 999999994 749611630 999999995 746505896 999990808 24165574 999991419 24160491 998852414 196253159 998854150 196251370 978111726 715967205 978113629 715965573 999999435 734751918 999999752 734742121 999998292 624280939 999999476 624278316 999998292 624273579 999999476 624270956 999015150 4966117 999017102 4964526 999994156 228647495 999994326 228629227 999999925 645061260 999999979 645003750 993156833 710123613 993158470 710121716 999986041 81519370 999987234 81516767 999999946 729884200 999999975 729777118 984100533 548587591 984102516 548586025 998835895 196259925 998837938 196258405 999999948 184840736 999999959 184558440 999999329 722088442 999999435 722059148 983646647 548949058 983648445 548947331 999999882 35861436 999999997 35834435 999998169 195757520 999999746 195755551 999998169 90941683 999999746 90939714 999990808 23267162 999991419 23262080 999990808 15715132 999991419 15710050 984043429 548467113 984045275 548465431 999999969 715325527 999999993 715196160 999999884 650769935 999999925 650694208 999993033 20026257 999994925 20024616 984086191 548513956 984088140 548512363 999981420 9932393 999982629 9929825 977357563 715071020 977359319 715069252 978093414 716016358 978095564 716014914 998825337 196277969 998827429 196276485 999996307 657908670 999997674 657906399 999996307 657061053 999997674 657058782 999996307 651218931 999997674 651216660 999999925 656221112 999999979 656163624 999993112 20252486 999994972 20250817 999994156 221170591 999994326 221152331 999999638 9118978 999999843 9103836 999999329 730173652 999999435 730144368 999999314 25610145 999999605 25599478 999999435 733105459 999999752 733095667 983637783 548901795 983639685 548900163 993339658 700609794 993341146 700607708 999990808 23963932 999991419 23958852 978109505 716029126 978111531 716027594 999999144 8576439 999999638 8570156 993337811 700614356 993338970 700611678 983652842 548935198 983654359 548933152 998995127 4968518 998996152 4965490 999999717 14318721 999999822 14289162 999999542 27516857 999999837 27506336 978104284 716039153 978105647 716036876 978093080 716046692 978094200 716043921 999981420 9848552 999982629 9845985 984067048 548723762 984068332 548721345 999994156 230830117 999994326 230811862 999999144 9545024 999999638 9538742 999184858 4802260 999185572 4797914 999999956 19157121 999999970 18935479 984081894 548463370 984084002 548461898 993365212 700633597 993366625 700631401 998841899 196276738 998842934 196273740 999989037 64086382 999991073 64084858 999999975 955683930 999999982 955240669 999999969 695133046 999999993 695003762 999999144 9518490 999999638 9512209 999993300 20183562 999994916 20181642 999999605 26356192 999999895 26345493 999999367 24776010 999999638 24764561 999995317 625336772 999996307 625333638 999999969 669939925 999999993 669810651 999999946 764883974 999999975 764776991 999999948 162708391 999999959 162426349 999998388 24735389 999999367 24732220 984097579 548507688 984099524 548506093 993116090 710135393 993117285 710132797 999998292 624589773 999999476 624587153 999996156 135237136 999998169 135235595 999999925 647004013 999999979 646946568 999998060 63038835 999999365 63036458 999998060 59934265 999999365 59931888 999998169 195262219 999999746 195260252 999123632 81571445 999125197 81569463 999996307 650845538 999997674 650843269 999999944 638193187 999999971 638078311 984095271 548448298 984098657 548447382 999999976 216919707 999999984 216532022 984085729 548855541 984089327 548854679 999997493 24823601 999999367 24821946 977342307 715066240 977346573 715065513 999994314 24735389 999995413 24732567 999999329 725061929 999999435 725032671 999122288 81563358 999123530 81560861 999999435 773428812 999999752 773419029 999096992 91966663 999097906 91963270 993341145 700619345 993342751 700617414 999999710 2081077 999999947 2067992 999975423 133283344 999976720 133280953 992067982 719752500 992069743 719750739 984007792 548451755 984009785 548450199 999993314 80958386 999995312 80956834 999999435 732093774 999999752 732083992 999994314 24962277 999996173 24960609 999981536 81541207 999983456 81539592 999999410 227573752 999999909 227567538 999995319 24932966 999999367 24932200 999999948 80122208 999999959 79840325 999998060 59938348 999999365 59935972 999993685 625238586 999995665 625237020 999154314 81559685 999156690 81558380 999987734 133218169 999989365 133216268 999994635 30064983 999995662 30061964 983745794 548505439 983747793 548503888 999999993 801580859 999999996 800547388 999999789 719396586 999999932 719374905 999998169 195880178 999999746 195878212 999998169 195399341 999999746 195397375 999999998 705630505 999999999 702530136 999999998 90801859 999999999 87701494 998858290 196266035 998860079 196264302 999999314 26230720 999999605 26220066 999999435 776745613 999999752 776735833 999999435 734236058 999999752 734226278 984069242 548560339 984071083 548558655 999999988 739427689 999999989 736327469 999990808 23958852 999991419 23953778 999994435 625120868 999996307 625119212 998923459 91965409 998925667 91964005 999999598 15963220 999999829 15949800 999989037 64075600 999994725 64075055 999981420 10522278 999982629 10519714 999999946 758242929 999999975 758136038 993355902 700667628 993357936 700666104 999988148 133231285 999990434 133229929 999994990 24823601 999996863 24821946 999999730 6659379 999999894 6640478 984074417 548457797 984076249 548456105 999998292 624522382 999999476 624519764 984043442 548461435 984045275 548459744 999989090 30784361 999991104 30782822 978495181 716047062 978496586 716044856 999998060 60048457 999999365 60046082 999999944 627758362 999999971 627643571 978104278 715970607 978105947 715968750 999999598 17869804 999999829 17856387 999999993 695160537 999999995 693610879 999999605 30544743 999999855 30532346 999997287 4864658 999999036 4862886 999981543 78123610 999983033 78121530 999999999 987405066 1000000000 984305893 999138931 81563620 999141463 81562396 999999882 36235209 999999997 36208260 999996307 657098177 999997674 657095910 999996307 650754835 999997674 650752568 999994037 20133041 999995338 20130659 999994156 225820703 999994326 225802474 999999144 7731957 999999638 7725684 999999982 112027064 999999988 111510588 999979465 80978209 999981290 80976511 999993032 624908482 999994242 624905921 999998169 195435469 999999746 195433504 999101932 81578763 999103104 81576119 998990596 4951632 998992482 4949989 999999990 18477964 999999991 15379284 999999882 31606559 999999997 31579614 999981420 10035178 999982629 10032615 999999931 630888354 999999944 630650005 999999976 230719458 999999984 230332144 999997287 4406289 999999286 4404739 999999605 10699328 999999836 10685915 999999946 772763425 999999975 772656584 999990808 23972760 999991419 23967689 999150918 4959105 999153900 4958066 999993032 625014883 999996307 625013937 999999997 149345617 999999998 146247501 999999993 920087907 999999996 919055217 999998060 63762466 999999365 63760092 983653400 548955463 983654898 548953395 999990808 24116107 999991419 24111037 999990808 16288909 999991419 16283839 999186214 4834008 999187853 4832118 992113767 719880990 992115846 719879500 999999943 18275236 999999956 18036955 999999948 91662041 999999959 91380445 999983429 30746915 999986313 30745841 999999841 644504045 999999884 644432016 999976961 80968395 999978534 80966426 984069053 548704370 984072362 548703434 999990808 24241819 999991419 24236750 999982910 134191568 999984568 134189700 999999997 940709635 999999998 937612525 999101932 81567040 999103493 81565056 999991735 78069572 999993191 78067445 999999882 32464287 999999997 32437359 983970281 554689279 983971777 554687209 984072048 548586474 984075563 548585593 978104555 715902178 978106463 715900555 999020231 4973223 999021619 4970992 999999967 6431619 999999977 6121959 999999843 10014335 999999936 9981040 999997129 196067218 999999045 196065602 999996307 650785390 999997674 650783125 999119132 81583991 999120812 81582148 999999992 147690301 999999993 144594106 999998292 623427533 999999476 623424918 999999884 640477545 999999925 640402033 999998840 30758418 999999605 30754371 978108178 715945343 978110089 715943723 999999969 708491795 999999993 708362803 999999410 231098693 999999909 231092489 999999837 28874204 999999983 28853000 999999969 686257362 999999993 686128376 999998169 91013773 999999746 91011810 998862131 196261128 998863876 196259354 999991537 20192937 999994505 20191894 999998060 62908862 999999365 62906490 999998060 60389437 999999365 60387065 999999925 646098667 999999979 646041344 999997611 4777295 999999286 4775447 999999923 228586440 999999955 228489709 999991055 135243035 999993326 135241672 999999931 629569858 999999944 629331753 999999329 732689334 999999435 732660134 999995617 24699366 999997301 24697528 999989109 78089808 999990554 78087666 999999435 776433482 999999752 776423718 999999329 721337060 999999435 721307861 977967234 715738963 977969370 715737514 984087090 548538121 984089177 548536638 999999882 34136763 999999997 34109850 999998292 623887973 999999476 623885359 999999717 14886332 999999822 14856857 999999435 734570259 999999752 734560496 999999435 731845138 999999752 731835375 999999605 30375771 999999855 30363392 999971889 78089818 999972848 78086591 999999899 20603200 999999943 20532867 978111037 716023811 978113369 716022484 978110560 715872605 978112576 715871070 999999982 171562912 999999988 171047168 978093414 716017720 978095686 716016358 999997287 5030184 999999286 5028636 999993078 135227300 999994626 135225301 999998840 30049279 999999605 30045234 999131821 81565661 999132246 81558380 999999978 734405728 999999980 732858522 999971889 135251009 999973489 135249075 999999969 671016829 999999993 670887897 999999982 137076801 999999988 136561075 999998060 62739670 999999365 62737299 999998169 195591263 999999746 195589301 999999998 861796498 999999999 858702441 998859481 196257270 998861248 196255519 999999948 141944483 999999959 141663218 999999314 26660261 999999605 26649629 977332024 715065793 977334006 715064232 992092458 719742364 992094743 719741010 999981420 11078255 999982629 11075696 999981420 9799410 999982629 9796851 999999598 23574224 999999829 23560831 999983429 30749548 999984604 30746915 999999435 775544336 999999752 775534577 999999435 720150404 999999752 720140645 999999837 27419054 999999983 27397865 993229695 700599328 993231248 700597336 999996307 657029880 999997674 657027617 999996307 651243406 999997674 651241143 999999975 890915916 999999982 890473988 999137765 81579040 999139664 81577411 999999955 224831660 999999976 224684355 978109505 716039738 978111442 716038141 984094476 548579947 984096159 548578109 984084590 548562885 984086273 548561047 999999435 721054393 999999752 721044635 999984748 135211636 999986271 135209605 984085780 548837539 984087640 548835876 992110532 719880990 992112095 719879011 999994832 624945665 999996307 624943568 999999992 191780427 999999993 188687394 983754386 548491789 983755577 548489192 998904960 2783 998907246 1430 999994824 30150000 999997194 30148695 993093667 710144490 993095089 710142315 999976404 78131367 999978695 78130017 978688715 715790662 978690297 715788707 999999925 653539726 999999979 653482452 999174598 4810260 999177651 4809247 999999435 734103128 999999752 734093372 999981420 10073101 999982629 10070543 999991930 20329416 999993989 20327914 999992679 16371208 999995338 16370045 983973023 554641912 983974667 554640031 999999999 213902738 1000000000 210810518 999996307 657735669 999997674 657733407 992128562 719858097 992130479 719856484 999993400 133253386 999995711 133252048 999996545 81156539 999998169 81154635 999994314 24697528 999996331 24695995 992141209 719885728 992143200 719884175 999026158 4943786 999029075 4942726 999989053 133285114 999991869 133284016 999999946 739684065 999999975 739577447 993149247 710133685 993150896 710131810 999999975 883923333 999999982 883481642 999999836 10404187 999999981 10382864 999999410 229937188 999999909 229930992 999999948 144151070 999999959 143869999 993232618 700610395 993234141 700608365 999999946 767847025 999999975 767740418 999973298 133215916 999974812 133213874 993360071 700593679 993361497 700591511 999998060 56483708 999999365 56481339 999995765 80964812 999998169 80963526 999998292 623905653 999999476 623903042 999981420 9630463 999982629 9627906 999999410 230994438 999999909 230988243 999991419 16703461 999991537 16677264 999999329 731931948 999999435 731902786 999998169 90914742 999999746 90912782 999996307 651365806 999997674 651363545 999996307 650566229 999997674 650563968 999996307 650330003 999997674 650327742 999999598 22991786 999999829 22978406 999999930 788776074 999999951 788628896 999993414 11034778 999994333 11031415 998756373 196267319 998758132 196265562 978116155 715936296 978117910 715934535 999999841 651425544 999999884 651353671 999999882 34031710 999999997 34004836 999057303 91964814 999058767 91962703 999997587 4365607 999999286 4363788 999999969 677255583 999999993 677126817 984082255 548580113 984084519 548578748 999999410 228611267 999999909 228605074 999999975 860640717 999999982 860199256 999999999 912303849 1000000000 909213629 999993513 30101003 999994981 30098898 999999948 167082172 999999959 166801257 999188643 4810188 999190949 4808848 999998020 24781217 999999367 24778923 999979035 80975657 999980910 80974009 999999149 25277320 999999314 25258593 999985399 30768319 999987132 30766536 999991652 80987919 999992683 80984922 999999998 797126134 999999999 794036250 999999829 17331279 999999899 17287139 999980417 30779507 999982447 30777985 984100154 548700790 984101100 548697524 993371699 700601325 993373025 700598995 999999925 649128808 999999979 649071595 999999435 774111592 999999752 774101846 999999144 8616512 999999638 8610258 999999925 650697876 999999979 650640664 999996307 657445038 999997674 657442778 999996307 650479013 999997674 650476753 999999976 216532022 999999984 216145845 999998169 195795973 999999746 195794014 999990808 15386593 999991419 15381537 999999435 772732182 999999752 772722437 999999435 721388877 999999752 721379132 999987154 78113571 999987531 78105377 999999975 731535676 999999978 730505987 999998292 623612013 999999476 623609404 999999923 219318897 999999955 219222364 992122859 719754689 992124510 719752818 999992271 64103241 999994215 64101652 999991419 17825591 999991537 17799413 999999605 30773946 999999855 30761590 999998060 62972792 999999365 62970425 999999598 20326225 999999829 20312853 999008672 91964678 999010236 91962703 984083226 548456839 984084981 548455079 999996503 135233388 999998169 135231534 999142292 91966663 999144093 91964948 999999598 15700261 999999829 15686890 999991984 30798886 999993513 30796866 992092465 719750471 992094088 719748568 978108417 715976677 978110040 715974774 999999998 681610773 999999999 678522220 999987234 81519002 999988462 81516487 978104638 716048753 978105759 716045998 998821917 196257613 998823791 196255965 999997550 4730288 999999286 4728509 978019857 715825697 978021786 715824096 999999598 19798590 999999829 19785221 999988477 30786613 999990585 30785148 983655200 548922135 983656637 548919986 999996307 650419156 999997674 650416897 999999998 33898223 999999999 30810215 999999144 8290346 999999638 8284095 999999144 8068462 999999638 8062211 999999923 213983029 999999955 213886530 999999859 12058451 999999922 12009436 984064189 548449109 984065977 548447382 999999930 799044360 999999951 798897322 999998169 195772510 999999746 195770552 999973999 78070350 999975619 78068444 999998060 60102875 999999365 60100509 984073382 548952735 984076021 548951565 983972366 554687121 983975507 554686138 999999435 777096101 999999752 777086361 999994314 24953246 999996142 24951557 999999969 675192685 999999993 675064043 999999841 645688536 999999884 645616736 999990808 24609308 999991419 24604255 999984638 80963247 999985625 80960119 999999410 229992433 999999909 229986246 984092393 548490947 984098330 548490427 993110792 710124225 993113034 710122848 984095528 548710695 984096891 548708430 999993560 624778759 999995246 624776928 999999969 676445201 999999993 676316577 999999946 767421941 999999975 767315494 977319579 715078811 977321221 715076931 993359055 700650172 993361869 700649075 999992608 135221988 999995130 135220764 999999925 645319682 999999979 645262517 999999410 229434035 999999909 229427849 999999789 716099154 999999932 716077568 999998292 624519764 999999476 624517157 999999435 733663396 999999752 733653659 999999997 81101304 999999998 78014709 978104379 716002587 978106026 716000713 999996795 11067388 999997961 11064741 984079232 548578555 984081725 548577317 999998060 63310881 999999365 63308516 999998060 59761469 999999365 59759104 999998060 56325207 999999365 56322842 999999944 627620105 999999971 627505798 999999925 657806756 999999979 657749604 999998169 91561644 999999746 91559687 999998169 91283409 999999746 91281452 999998169 90612593 999999746 90610636 999988575 133271784 999991517 133270735 984089456 548472764 984091281 548471073 999999969 658319595 999999993 658191013 978011904 715853105 978014091 715851694 999999598 15930038 999999829 15916680 999994156 226548026 999994326 226529875 999999969 669526277 999999993 669397708 999987154 78132603 999989176 78131077 999999144 7439270 999999638 7433024 984066714 548849700 984069733 548848678 999999930 800969767 999999951 800822843 984097953 548552732 984099051 548549922 999986950 30780228 999988170 30777699 999981420 9924238 999982629 9921686 983745815 548525159 983747686 548523510 999999329 723596521 999999435 723567415 999999841 653471082 999999884 653399333 999999992 81092215 999999993 78007017 978103895 715988239 978106036 715986798 984079657 548561582 984081370 548559781 999999946 720644039 999999975 720537657 999998060 63942063 999999365 63939699 999998060 56244622 999999365 56242258 977967657 715744549 977970003 715743234 992116696 719749497 992117775 719746638 999999837 29285446 999999983 29264317 999999410 228554000 999999909 228547818 978687127 715768079 978688948 715766385 999999837 27632964 999999983 27611836 999994156 225024349 999994326 225006204 977339044 715074440 977341117 715072952 999999930 797957185 999999951 797810301 999999931 627630161 999999944 627392890 984010112 548449279 984011738 548447382 993140873 710135305 993142777 710133685 999999925 654452843 999999979 654395723 983971765 554667401 983973109 554665106 999997287 4968973 999999286 4967430 999990808 23720682 999991419 23715634 999998292 624103281 999999476 624100676 999998292 623484828 999999476 623482223 999999710 1956101 999999947 1943087 999999598 18150226 999999829 18136874 999994554 30009463 999996244 30007638 984100840 548847216 984102459 548845311 999976504 135234542 999978567 135233047 999991537 20272365 999993413 20270721 998997762 4965732 998999150 4963510 999995778 30238564 999997627 30236896 983979103 554620045 983980448 554617752 999999144 8476994 999999638 8470751 999999144 8216751 999999638 8210508 978116587 715955656 978118275 715953829 977986879 715743365 977988411 715741352 999999990 200368639 999999991 197284723 999982900 78069633 999984117 78067099 999999993 896495128 999999996 895467178 999988725 135236390 999990650 135234788 999999638 10121037 999999843 10105994 999990808 23460545 999991419 23455498 992101660 719754239 992103118 719752124 999999789 712733569 999999932 712712005 999999882 35229198 999999997 35202384 978118708 716043370 978119718 716040317 999999605 10362063 999999836 10348715 983751426 548551538 983752766 548549237 999995980 24856915 999998026 24855408 999993513 30070367 999994516 30067293 984089428 548574238 984091247 548572543 999999993 938545952 999999996 937518219 999999435 777689623 999999752 777679897 998922966 91964005 998925334 91962703 977313718 715075155 977315651 715073560 979493748 713840034 979496010 713838671 978109755 716044804 978111905 716043370 999980411 30773657 999982188 30771922 999999789 713413360 999999932 713391800 999999955 217699091 999999976 217552278 999994574 625362705 999996012 625360561 999998169 91623776 999999746 91621821 999998169 91141286 999999746 91139331 984065437 554473665 984067376 554472075 999991419 24494432 999991537 24468305 999999925 649755724 999999979 649698632 998818135 196274199 998819774 196272318 999998840 30647982 999999605 30643952 999981420 10337715 999982629 10335165 999978898 78073911 999980431 78071900 983767646 548524198 983769535 548522566 999999843 7401509 999999936 7368361 999094998 91966663 999096992 91965117 999999946 752164111 999999975 752057814 999996307 657201240 999997674 657198985 999996307 650673772 999997674 650671517 998852335 196269257 998854829 196268021 999999948 72702235 999999959 72422006 999999997 152428101 999999998 149345617 998923209 91966663 998925667 91965409 999999410 230093158 999999909 230086981 999999410 227596189 999999909 227590012 999999990 633745782 999999992 632204637 999135364 91965586 999137000 91963702 999994314 24757413 999995972 24755554 999999925 657218617 999999979 657161540 999999144 10213320 999999638 10207081 999971889 80977240 999973914 80975718 999999931 632588197 999999944 632351118 999999841 645119105 999999884 645047430 993352640 700657826 993355542 700656764 984074979 548834906 984076189 548832359 999985302 80950876 999986864 80948903 999148996 81569928 999154980 81569413 993351751 700592282 993352889 700589574 984011738 548450865 984013537 548449152 999999882 32407857 999999997 32381060 979517301 713837670 979519917 713836492 978626151 715741383 978627477 715739059 999999542 28074488 999999837 28064042 999998169 90866383 999999746 90864429 978579903 715769069 978582288 715767777 999999789 715646981 999999932 715625433 999999598 20538523 999999829 20525184 999996307 657823891 999997674 657821637 999996307 650145754 999997674 650143500 999998060 63020132 999999365 63017771 993352547 700642338 993354111 700640368 999999990 149844939 999999991 146763936 993368087 700611198 993370062 700609638 999981517 133267808 999983066 133265819 999997129 196074651 999999045 196073043 999999410 230489274 999999909 230483100 999989878 64103499 999991546 64101652 999999455 4319627 999999607 4299359 999999909 197002411 999999919 196694338 999979220 133247854 999982666 133246960 999994595 78127063 999995689 78124247 999999969 679784107 999999993 679655749 999985515 80984922 999989337 80984116 999983873 133263603 999985711 133261927 984097323 548579947 984098999 548578109 978098452 716048166 978100468 716046638 999999999 152195463 1000000000 149115037 999999410 228066688 999999909 228060515 999999975 955240669 999999982 954800625 984093787 554476327 984095100 554473981 999999948 130124348 999999959 129844321 984060162 548453450 984061214 548450522 978096161 716010267 978097975 716008569 999999598 16161369 999999829 16148035 999999999 652781348 1000000000 649701199 993230719 700603182 993232964 700601810 999993206 625370037 999996001 625368935 978107074 716031986 978109505 716030719 999990808 23605531 999991419 23600490 999999329 724289850 999999435 724260793 999998840 30098674 999999605 30094648 999998169 195798262 999999746 195796309 999998169 195531402 999999746 195529449 999998169 91349776 999999746 91347823 999996307 657561502 999997674 657559249 984091820 548513202 984094127 548511867 977968651 715746726 977970421 715744986 999999329 723076768 999999435 723047714 999999789 712841359 999999932 712819823 977357487 715064242 977359319 715062561 983650953 548908434 983651869 548905072 999994156 225414733 999994326 225396618 999999822 14107878 999999980 14088388 983773189 548500300 983773910 548496029 999995294 30021184 999996836 30019187 999999789 714964492 999999932 714942958 999999410 227307440 999999909 227301269 999999638 8157388 999999843 8142367 999996973 24967320 999998882 24965707 999973265 80999606 999974725 80997497 999999975 932190050 999999982 931750175 998841899 196269010 998842934 196266035 999999329 733109692 999999435 733080644 999170912 4824755 999172542 4822866 999999435 773478295 999999752 773468582 999999435 732325660 999999752 732315947 999999542 28113691 999999837 28103254 984067209 548467113 984068740 548465102 999992188 20280811 999993719 20278800 999991537 18873584 999995338 18872774 984099834 548958803 984102826 548957774 983658176 548912246 983660024 548910580 998752237 196305349 998753954 196303556 999994156 223215062 999994326 223196953 999998060 59809307 999999365 59806948 999996307 650276356 999997674 650274104 999993513 30040190 999995568 30038692 999999435 734434537 999999752 734424826 999999946 761575234 999999975 761469085 999994314 24932775 999995319 24929712 999998169 90877024 999999746 90875072 984085501 548846838 984087260 548845088 999986258 133251562 999988017 133249812 984082522 548699765 984085479 548698724 999977967 80964812 999979808 80963140 999981420 11032273 999982629 11029727 999981420 10616601 999982629 10614055 999994070 624902374 999996307 624900998 999999045 196071917 999999639 196066735 984094891 548470022 984096822 548468428 999978488 135215540 999981389 135214479 999996465 30122834 999997994 30120821 999999410 230070633 999999909 230064465 999999999 820193258 1000000000 817115482 999995700 24731030 999997978 24729679 998742033 196301590 998743310 196299180 983649335 548915283 983650669 548912976 984072392 554474838 984074325 554473246 999998292 623637812 999999476 623635213 998755012 196252084 998757740 196250956 999999144 10951331 999999605 10944656 983756987 548487924 983758903 548486318 999999710 2809685 999999947 2796702 999999730 6533328 999999894 6514566 999981420 10447552 999982629 10445007 999981420 10018493 999982629 10015948 999999996 190078968 999999997 187002100 977308724 715076578 977310900 715075164 992131630 719867372 992133216 719865432 999999925 642704249 999999979 642647271 999999992 737171936 999999993 734095132 999998169 195254995 999999746 195253044 999998169 91570423 999999746 91568472 999998169 91566110 999999746 91564159 999973086 135224847 999974701 135222942 999999948 184395078 999999959 184115394 999999923 222572373 999999955 222476232 999997287 4340198 999999286 4338659 983975496 554678989 983976084 554673757 978114009 715932044 978115618 715930132 983979908 554617410 983981416 554615370 999999998 76373878 999999999 73297624 983758265 548490606 983759412 548487924 999999598 22569763 999999829 22556446 999999816 24796070 999999966 24775562 999999923 206078475 999999955 205982344 999999435 773184774 999999752 773175070 978626151 715744038 978629221 715743036 999999975 774385282 999999978 773359915 999998840 30676298 999999605 30672277 998745100 196264498 998747082 196262946 999984644 133252521 999989720 133251915 999994156 224934202 999994326 224916108 999993812 625292016 999995331 625289991 999998060 62806666 999999365 62804309 999998060 59795681 999999365 59793324 999999410 231289094 999999909 231282930 999996307 650301091 999997674 650298841 999999999 94272645 1000000000 91196896 999996235 24657964 999997655 24655798 999999909 202651570 999999919 202344002 999993803 133225255 999994570 133221245 999994156 230606001 999994326 230587909 999985223 81166135 999986873 81164271 998747930 196267347 998749653 196265562 978687774 715748326 978690297 715747107 999975185 81142381 999976198 81139345 999014802 4962744 999016393 4960811 992115271 719868896 992116746 719866811 999999943 23931572 999999970 23817670 999999710 1048005 999999947 1035029 999994314 24868116 999996562 24866748 993337223 700606245 993337811 700601015 999999435 732894296 999999752 732884595 999999435 721851621 999999752 721841920 978628809 715739059 978630382 715737104 999999948 170674335 999999959 170394774 999998169 91285761 999999746 91283811 999998169 91075951 999999746 91074001 978024834 715817845 978026551 715816054 999993032 625317170 999995861 625316083 978115566 716019373 978117264 716017562 999999710 2846386 999999947 2833411 999993723 80977883 999996150 80976616 978101521 716044976 978104247 716043848 978634123 715741407 978635570 715739282 999999882 38222073 999999997 38195335 999995048 81508728 999996624 81506777 999977353 30744044 999979990 30742878 978023551 715747997 978025222 715746157 978103573 716055364 978105666 716053895 999998060 64000785 999999365 63998429 999998060 63899818 999999365 63897462 999998060 60224746 999999365 60222390 984002966 548465092 984003731 548461073 999999944 633453095 999999971 633339225 999981420 9972524 999982629 9969981 993348598 700680430 993350565 700678867 999999979 646230999 999999997 646060199 999995289 30137132 999997195 30135519 999999410 230032018 999999909 230025857 993239904 700619654 993240897 700616558 999994156 230370155 999994326 230352071 999999314 25212379 999999605 25201815 999999329 777656165 999999435 777627164 978104811 716008974 978105565 716004897 977324096 715061112 977325312 715058584 999991450 30803795 999993513 30802305 978618568 715743348 978620448 715741713 992136208 719869449 992138669 719868200 999978683 135208458 999980834 135207029 999999286 6853893 999999455 6835705 999999829 16663875 999999899 16619964 999027598 4966570 999029075 4964489 999999923 202121246 999999955 202025196 983978896 554594519 983980684 554592800 999994514 20015595 999995338 20011865 999994710 30186728 999997522 30185635 999999598 16430501 999999829 16417196 999991537 16330853 999993440 16329238 999999923 216806932 999999955 216710890 999999410 229747884 999999909 229741725 999998060 63637435 999999365 63635080 999998060 63518779 999999365 63516424 998830830 196269212 998832145 196266875 999994156 228806249 999994326 228788172 999999789 719368128 999999932 719346638 999063043 91965804 999064892 91964142 978090830 716005411 978093214 716004122 999999955 206502818 999999976 206356493 999999975 952352781 999999982 951913808 999994156 229688594 999994326 229670519 998837992 196279387 998839821 196277707 999990808 23207887 999991419 23202858 999996436 81505548 999998169 81503775 999180822 4826762 999182721 4825144 999999989 138502529 999999990 135429984 983769117 548527309 983770205 548524485 999999894 6413152 999999965 6369878 999991537 16282279 999994517 16281248 999996442 135224343 999998169 135222564 984086126 554478550 984088482 554477246 999999975 805565544 999999982 805126657 999999975 863616486 999999982 863177604 999999841 657425820 999999884 657354376 999999925 656570153 999999979 656513267 999999991 734311914 999999992 731240156 998838801 196265697 998840793 196264155 999996307 657533642 999997674 657531395 999993680 10920172 999995264 10918233 992047975 719854973 992049935 719853406 998750893 196287856 998752464 196285901 977332370 715068145 977334129 715066399 999999991 164121461 999999992 161050410 999999987 623986398 999999990 622962728 999999598 23855760 999999829 23842466 999999286 4474629 999999455 4456458 999999410 227587774 999999909 227581620 999991419 23515984 999991537 23489960 983637783 548908931 983640392 548907754 999999946 736877137 999999975 736771248 999998840 30078197 999999605 30074183 999998060 60307922 999999365 60305569 999998060 56716299 999999365 56713946 978108716 715959745 978110181 715957649 999999314 26616888 999999605 26606336 999994782 10929037 999996507 10927257 999997287 4893144 999999286 4891608 999999598 20656355 999999829 20643063 999998169 195535331 999999746 195533384 999998169 91501854 999999746 91499907 977345314 715079489 977348360 715078481 978108083 715883334 978109688 715881421 999999410 227416341 999999909 227410188 999999829 23472471 999999899 23428613 993334347 700611429 993335479 700608717 999999435 771434092 999999752 771424408 984071008 548450008 984072177 548447382 999999045 196092573 999999639 196087405 999981420 9950598 999982629 9948059 999999923 222043857 999999955 221947931 999999435 776085697 999999752 776076014 977967277 715740089 977970003 715738963 983747966 548533450 983749712 548531692 999999899 23498866 999999943 23429107 998827777 196267246 998829888 196265792 999999710 267401 999999947 254450 999984438 135240071 999986075 135238196 993225592 700625148 993226490 700621730 999998060 63823790 999999365 63821438 999999969 663656612 999999993 663528725 984069227 548710294 984072699 548709410 999174997 4801702 999176765 4799966 999999882 35723667 999999997 35696978 999999045 196170447 999999639 196165280 983764773 548518123 983767252 548516885 978109631 716048035 978110682 716045115 999999542 27109887 999999837 27099484 999999435 771312412 999999752 771302731 999998169 195985239 999999746 195983293 999991419 17568412 999991537 17542405 999999923 202323271 999999955 202227372 999992601 134190413 999995507 134189357 999999435 720745780 999999752 720736100 999999948 171714786 999999959 171435829 999981420 9702226 999982629 9699688 999999982 186802798 999999988 186291392 999999435 772971747 999999752 772962068 999995593 133269068 999997794 133267674 999999894 5804377 999999965 5761163 999993032 624786728 999995852 624785640 977339044 715075920 977341117 715074440 993368567 700681088 993370423 700679435 999999841 642663269 999999884 642591922 999999946 735108930 999999975 735003140 999989303 135219342 999991312 135217815 993354587 700678867 993357973 700677961 999999717 12685898 999999822 12656682 999996307 650744612 999997674 650742368 999999969 691003552 999999993 690875740 999972818 135254927 999974552 135253158 999999789 716997468 999999932 716976018 984076622 548839603 984078075 548837492 984095750 548506093 984097219 548504005 999999829 16604848 999999899 16561030 999999923 202473100 999999955 202377250 979522697 713838126 979524703 713836597 999992298 18884288 999994634 18882975 984083119 548834955 984085246 548833513 999999829 24548058 999999899 24504242 999979163 30803268 999981329 30801852 999986800 30781903 999988631 30780228 984065558 554475570 984068195 554474407 999999983 728916242 999999985 727382924 999990808 24273412 999991419 24268393 999990808 23707387 999991419 23702368 999999149 25704895 999999314 25686310 999999975 906823222 999999982 906385154 999999329 777148670 999999435 777119741 999997287 4672270 999999286 4670736 999997287 4333524 999999286 4331990 999989127 135221681 999990438 135219342 999982900 78073704 999985239 78072393 998842934 196280108 998844432 196278061 999999993 204559781 999999994 201493429 978096931 716043675 978098452 716041659 999996307 657310073 999997674 657307830 999996307 657063449 999997674 657061206 999981420 10759541 999982629 10757005 999981420 10154654 999982629 10152118 978114286 715949708 978116386 715948248 999999996 202356276 999999997 199290464 978107122 715988771 978108790 715986933 998840787 196269543 998841899 196266786 999026158 4957245 999029075 4956194 999995019 30119023 999996787 30117289 999991419 22600246 999991537 22574266 984091820 548515653 984094612 548514555 999994156 221802236 999994326 221784203 999999829 23874959 999999899 23831165 999998060 64013789 999999365 64011440 999998060 63237289 999999365 63234940 992075535 719753113 992077553 719751594 984091642 548456637 984093050 548454460 983764868 548519554 983767010 548518123 999188415 4835507 999189846 4833365 999999286 4937504 999999455 4919367 999999948 135668553 999999959 135389922 999999946 756085269 999999975 755979583 999164944 4810302 999166642 4808497 999999329 730211798 999999435 730182884 999996307 650940912 999997674 650938670 999999969 679247198 999999993 679119499 999999999 138924974 1000000000 135860253 999999598 19372598 999999829 19359331 984058868 554475560 984060722 554473907 977308749 715063488 977310537 715061774 998758899 196277781 998760581 196275959 999999948 143741898 999999959 143463299 999999329 776963465 999999435 776934554 999999969 697738929 999999993 697611239 999999955 213063692 999999976 212917761 999999969 703413062 999999993 703285374 999999542 26852519 999999837 26842131 999995937 24941538 999998182 24940173 984065990 554485495 984067620 554483615 978103895 715954640 978105518 715952752 999992059 20082053 999993455 20079858 999999981 730050843 999999982 726986637 999998292 623531917 999999476 623529329 983757911 548541357 983760095 548539954 984049672 554479098 984051283 554477196 999994149 18979912 999995338 18977335 978027399 715848196 978030397 715847174 999993675 81182754 999995280 81180845 999994156 226255553 999994326 226237530 999155661 81586224 999157196 81584228 999999730 5878459 999999894 5859777 999999435 776619928 999999752 776610263 999999605 10763079 999999836 10749816 999997129 196156461 999999045 196154862 999999717 13528821 999999822 13499644 999999623 26729938 999999920 26719623 983763399 548508741 983765359 548507178 999996307 657058237 999997674 657055996 978483558 716046795 978484744 716044212 999994156 225049294 999994326 225031274 999999948 90241918 999999959 89963430 999999410 229133510 999999909 229127371 999999410 228048128 999999909 228041989 998740240 196294208 998741828 196292279 999999925 656715040 999999979 656658315 993240486 700604300 993243180 700603163 993340834 700599350 993342836 700597820 984069167 548456495 984070883 548454710 999991419 22690793 999991537 22664835 993372063 700651931 993373025 700648747 999993987 30239889 999996655 30238741 992133685 719847112 992135473 719845399 999999930 785045229 999999951 784899383 984085552 548714492 984087246 548712684 999999996 113413880 999999997 110351166 999992420 18929858 999994255 18928189 999999598 17627341 999999829 17614083 999998169 91437664 999999746 91435722 992132758 719879049 992134509 719877300 998894393 91964496 998896101 91962703 999981437 78110876 999982575 78108185 978116905 715882497 978118643 715880735 983765275 548491789 983766624 548489519 999999435 732022635 999999752 732012975 993363003 700621068 993364736 700619301 999999822 13262234 999999980 13242853 999996307 651299379 999997674 651297139 998745100 196252550 998747021 196250956 992108092 719849789 992109421 719847485 999999435 773325250 999999752 773315591 999994581 24941538 999995937 24939280 999999944 618813648 999999971 618700247 984041718 548462062 984043442 548460286 999999996 71274084 999999997 68212262 999999936 8050798 999999965 7945220 999189120 4838895 999190949 4837221 984094279 548586747 984096932 548585593 999999923 207289306 999999955 207193639 999112089 81584829 999114018 81583242 999999144 10043039 999999638 10036842 999103104 81579462 999104245 81576779 999999435 732859193 999999752 732849536 999999975 888304914 999999982 887867592 999103104 81586261 999105079 81584711 993351755 700599175 993353541 700597461 999981420 10880046 999982629 10877514 978112682 715939429 978113978 715937067 999999982 178381617 999999988 177871431 999990808 16522479 999991419 16517469 999999710 3850101 999999947 3837185 999999710 2342448 999999947 2329532 999999930 787745009 999999951 787599243 999977023 135245733 999979111 135244267 999998169 195975789 999999746 195973848 992117353 719746036 992119161 719744343 999999975 811550520 999999982 811113244 978099280 716050160 978103946 716049504 984082599 548584995 984083945 548582721 999998292 624170766 999999476 624168181 999999994 183805296 999999995 180744899 999999410 231302132 999999909 231295999 999999946 732610319 999999975 732504790 993096737 710151303 993098585 710149647 999999286 6523384 999999455 6505276 999998060 60118483 999999365 60116138 999021277 91966663 999022870 91964742 993366074 700653827 993367688 700651931 999999923 196639310 999999955 196543684 999994411 20039925 999995338 20036624 999999946 770709243 999999975 770603728 999999410 230925672 999999909 230919540 999999410 229315291 999999909 229309159 999999980 769371356 999999981 766311492 999171937 4816159 999173511 4814215 999999843 8204505 999999936 8171604 998743589 196315126 998745100 196313101 993110036 710112238 993112800 710111131 999999948 73601833 999999959 73323686 999999882 37598167 999999997 37571563 993113081 710125755 993114339 710123323 999997246 24650125 999998852 24648220 999998169 91376113 999999746 91374173 999998169 90711684 999999746 90709744 999999410 229764236 999999909 229758105 999999410 228960800 999999909 228954669 999981952 133285042 999983844 133283425 999983508 133233187 999985131 133231302 983762508 548510767 983765213 548509636 999996307 657976154 999997674 657973916 999996307 650503639 999997674 650501401 999999943 24166519 999999970 24053215 999995044 133240805 999996796 133239059 999999789 712991633 999999932 712970242 999999410 229387830 999999909 229381700 999134827 81567223 999137120 81565889 984090703 548495929 984093282 548494743 999999598 23752052 999999829 23738811 999999971 618588026 999999983 618333150 999980028 81521620 999981394 81519381 999997287 4649496 999999286 4647966 999999923 200813608 999999955 200718031 999993352 20200739 999995338 20199199 999999144 9413678 999999638 9407487 999993032 624870592 999995696 624869444 999998292 623654859 999999476 623652276 999999542 29571751 999999837 29561384 984066714 548698955 984068377 548697116 992076463 719750662 992078491 719749154 999999995 174547865 999999996 171489675 999999789 718431284 999999932 718409899 999999948 115608529 999999959 115330526 999999969 679582128 999999993 679454710 999996307 657947482 999997674 657945245 999996307 657416166 999997674 657413929 999996307 650202571 999997674 650200334 999999948 101010553 999999959 100732555 999999730 4687005 999999894 4668359 984085492 548577014 984088487 548575993 999999410 228240731 999999909 228234603 993145207 710128703 993146990 710126988 999989954 30803558 999991450 30801514 999998169 195577470 999999746 195575531 999998169 195336648 999999746 195334709 999164772 4807606 999166894 4806165 999999598 18542153 999999829 18528916 999998060 62718607 999999365 62716264 999998060 60023869 999999365 60021526 999981420 10343089 999982629 10340560 999999882 36591113 999999997 36564526 999976215 133246356 999978036 133244677 999177965 4816985 999179674 4815196 978480984 716060568 978482862 716058940 999154973 4965370 999156397 4963223 999999899 17976718 999999943 17907234 992142941 719746240 992144859 719744646 999991537 20119751 999994257 20118627 993356009 700606536 993358422 700605269 999999982 163610099 999999988 163100559 993358087 700656091 993359776 700654281 999992520 133212774 999995990 133211893 984072360 548828533 984073963 548826626 999990808 15532241 999991419 15527238 999999909 206735557 999999919 206429880 993124754 710135021 993125257 710128944 999999455 6252162 999999607 6232052 983970200 554613131 983971972 554611406 999984485 78115905 999985865 78113690 999999923 208367452 999999955 208271932 984098443 548462667 984099677 548460190 999996307 657406151 999997674 657403915 999996307 651305438 999997674 651303202 999999710 3504852 999999947 3491955 978019682 715836769 978020991 715834434 999996245 24644481 999997728 24642420 999999410 227998983 999999909 227992858 984090395 548582721 984091312 548579388 999999710 1917336 999999947 1904440 999999975 967603077 999999982 967166467 999998169 195936623 999999746 195934685 999998169 195595724 999999746 195593786 999998169 91637681 999999746 91635743 999999435 776202457 999999752 776192816 999999730 6508933 999999894 6490298 983768621 548534682 983770336 548532900 999999930 780953081 999999951 780807552 993348307 700633597 993349943 700631729 999999971 632508494 999999983 632253826 999998292 623554869 999999476 623552288 999999996 858146854 999999997 855090954 999999435 733298422 999999752 733288782 999999730 5415810 999999894 5397177 999974518 81529431 999977141 81528266 993240033 700622947 993243180 700621976 999999931 631123408 999999944 630888354 999999985 217314427 999999986 214258751 993093475 710178143 993094734 710175716 999999435 773167061 999999752 773157422 999999946 741795382 999999975 741690019 993330818 700601015 993332287 700598935 978026267 715865840 978028025 715864102 999991537 20288099 999993449 20286501 978103634 716036596 978105513 716034970 999999980 724592070 999999981 721536825 999996307 656934658 999997674 656932423 999999329 731490508 999999435 731461686 999994156 224189883 999994326 224171912 984101057 548533335 984102826 548531608 999977986 135249996 999981303 135249075 999999638 7651574 999999843 7636672 998858800 196267673 998860665 196266035 999999975 872452713 999999982 872016315 993095457 710190359 993097069 710188464 999999841 645585172 999999884 645514132 999140265 4968270 999141807 4966289 999998169 91507032 999999746 91505095 999998169 90823881 999999746 90821944 999999435 774855848 999999752 774846212 999999286 6043842 999999455 6025768 977353715 715071033 977355430 715069252 999999144 8448263 999999638 8442080 999999969 698363767 999999993 698236502 999999435 734942899 999999752 734933264 999999435 732340144 999999752 732330509 993149113 710124869 993150896 710123156 983835054 548549139 983836837 548547426 983972522 554662007 983975044 554660796 993240966 700625131 993242876 700623532 999999969 684738539 999999993 684611286 999973714 80950503 999975829 80949059 999973881 133273160 999975713 133271493 999999843 7703502 999999936 7670664 999999410 227707934 999999909 227701814 999996307 650734418 999997674 650732184 993232858 700614602 993234524 700612769 999999710 3364183 999999947 3351298 993117103 710115227 993118845 710113474 977335434 715071432 977337123 715069624 999998060 60468068 999999365 60465728 999998060 56229319 999999365 56226979 999991419 17344972 999991537 17319094 999999314 26065228 999999605 26054735 978106463 715905033 978108655 715903640 992106381 719744726 992108146 719742996 993334707 700625148 993336613 700623546 993338833 700625148 993340214 700622937 983758718 548529966 983760305 548528042 998842585 196261892 998844259 196260068 999999841 643785635 999999884 643714628 999999946 725234393 999999975 725129110 999991668 20257740 999994562 20256685 999998169 91331925 999999746 91329989 999993895 30119023 999995019 30116307 999991537 16279037 999995095 16278179 999999948 124581959 999999959 124304437 999983131 78080135 999984492 78077892 999999435 774926111 999999752 774916481 999999946 745540972 999999975 745435709 978107534 716042923 978109203 716041094 984093881 548841120 984095938 548839636 999990808 23807478 999991419 23802482 999999985 777800324 999999986 774747804 999996307 657739422 999997674 657737189 999996307 650664385 999997674 650662152 999997287 4740973 999999286 4739446 999993438 135210421 999994993 135208458 999998060 63694489 999999365 63692150 999998060 63511871 999999365 63509532 999999975 946820349 999999982 946384294 999999598 23608456 999999829 23595243 999024123 4977101 999026072 4975535 999971889 133217582 999973721 133215916 999978885 135241987 999980358 135239915 999994314 24772382 999996253 24770808 999999598 21359738 999999829 21346526 999999710 2677241 999999947 2664364 999999946 726710967 999999975 726605731 993345634 700598895 993346712 700596064 998990982 4944401 998993268 4943066 999999969 717612862 999999993 717485704 999999314 26286626 999999605 26276139 992112422 719873100 992113975 719871135 999999884 657686758 999999925 657612328 998753540 196285901 998754998 196283808 993094874 710183760 993096753 710182136 998836922 196266128 998838801 196264504 999998169 195572402 999999746 195570467 999998169 91584927 999999746 91582992 999998169 91363097 999999746 91361162 999998169 91261271 999999746 91259336 998736340 196276343 998739294 196275310 999018621 4952257 999020283 4950421 999999923 214298773 999999955 214203417 999999410 229661929 999999909 229655814 999185125 4811016 999186951 4809345 999991419 17435032 999991537 17409174 984085609 548699942 984087220 548698048 999999542 28803739 999999837 28793396 999998292 624601967 999999476 624599390 999998292 623641117 999999476 623638540 999987954 135200170 999990743 135199076 999989297 78127095 999990664 78124863 999998060 56471819 999999365 56469481 999995359 10939139 999997247 10937523 998833436 196253661 998835701 196252314 999990808 16406996 999991419 16402003 993369285 700622503 993372071 700621408 999999638 9033258 999999843 9018377 999994005 30139178 999995496 30137132 999997287 4490716 999999286 4489190 999997287 4331990 999999286 4330464 999997287 4330103 999999286 4328577 999999971 617396591 999999983 617142385 999999993 674436622 999999995 672911391 999995168 10949129 999996302 10946439 999992115 135218724 999993386 135216324 978110955 715880735 978112267 715878410 999999542 29142239 999999837 29131899 999999930 802796624 999999951 802651374 999105657 81581857 999107677 81580347 983971871 554605446 983974980 554604465 999141299 4970534 999142711 4968374 999998169 195870623 999999746 195868689 999972991 81540770 999974718 81539004 999999944 617809624 999999971 617696668 999994156 223407595 999994326 223389655 983638161 548907754 983640392 548906387 999999986 773604514 999999988 772079691 999989030 81177530 999990691 81175694 999999931 633216164 999999944 632981582 999999435 776563802 999999752 776554182 998756700 196285901 998758157 196283808 984096094 548832055 984098142 548830566 999985048 81178049 999986913 81176414 993347206 700660227 993348476 700657826 977353715 715072811 977355430 715071033 999997287 5001458 999999065 4999743 992129942 719850408 992131239 719848057 999999435 776791123 999999752 776781504 999093223 91966187 999094462 91963726 999999598 17523534 999999829 17510335 999999975 859084795 999999982 858649231 999999435 731858395 999999752 731848777 999981854 81135358 999986663 81134724 999990808 16541134 999991419 16536144 993096307 710187186 993098388 710185721 983641985 548918668 983643734 548916925 999998060 62984125 999999365 62981789 999998060 62933916 999999365 62931580 999997287 5125515 999999286 5123990 999999923 226160375 999999955 226065112 999996307 657920444 999997674 657918214 998737981 196303717 998739366 196301516 999998169 91328282 999999746 91326349 999991537 16359689 999993268 16357928 999999982 107354664 999999988 106846616 999990808 16161689 999991419 16156700 999999329 732113857 999999435 732085101 998991936 4948097 998994075 4946672 999996294 10906256 999997365 10903410 999993575 625172138 999995175 625170233 978107926 715951777 978109649 715950008 999999955 201584418 999999976 201439276 999999435 732231847 999999752 732222232 999994156 229995034 999994326 229977105 978017260 715865025 978018422 715862402 999989918 80978089 999991781 80976453 978118946 715907588 978119718 715903640 999999608 26688488 999999829 26674697 999999995 688382042 999999996 685334286 999999994 115938838 999999995 112891162 999990808 23467663 999991419 23462675 999999314 26184954 999999605 26174481 999999435 720140645 999999752 720131031 999998292 623776542 999999476 623773968 983971821 554580357 983974135 554579040 999999955 196799502 999999976 196654383 993331914 700607428 993337223 700606854 999999641 649109410 999999644 648093640 978113600 715870956 978115278 715869140 999999286 4512727 999999455 4494696 999999946 720349179 999999975 720244103 999998060 62677330 999999365 62674995 999998060 59840569 999999365 59838234 999998060 56163489 999999365 56161154 999999730 5677097 999999894 5658517 999999930 803819534 999999951 803674435 999996307 656549850 999997674 656547621 999996307 650953757 999997674 650951528 999996307 650455053 999997674 650452824 999999435 771607293 999999752 771597681 978580598 715744689 978582140 715742713 993334526 700594306 993336158 700592439 999999410 230418725 999999909 230412619 984064474 554476940 984066698 554475570 999991419 15819523 999991537 15793702 984018225 548455884 984020406 548454487 999996081 24875667 999997868 24873962 999998169 195776596 999999746 195774664 999998169 195529449 999999746 195527517 999994929 625242439 999996307 625240228 999987348 133264561 999989099 133262821 983651785 548896042 983655047 548895108 999991997 20338351 999993583 20336430 999999946 730417850 999999975 730312792 999981420 10664850 999982629 10662330 993238506 700592391 993240241 700590635 999144802 4970108 999146559 4968374 999975218 135196081 999977789 135194896 992050528 719749470 992052096 719747527 992142446 719875171 992144178 719873412 983638982 548948876 983640684 548947086 983640267 548921226 983641458 548918668 999994156 229930401 999994326 229912480 978687056 715783124 978690297 715782184 999999931 624180968 999999944 623946620 999999976 204388699 999999984 204007892 978114439 715902319 978116166 715900555 977364564 715067749 977366291 715065985 999999955 222193639 999999976 222048573 999999435 774978047 999999752 774968437 999999969 716365874 999999993 716238942 977367337 715063045 977369296 715061490 999100618 91964662 999102173 91962703 992132889 719876556 992134734 719874905 999995314 80961552 999997159 80959901 983761922 548553384 983763455 548551397 999991419 20067192 999991537 20041378 999999955 212455501 999999976 212310451 984079125 548851997 984080753 548850126 999998060 59919039 999999365 59916705 999997287 4370104 999998896 4368211 999999789 719346638 999999932 719325339 999999435 721580305 999999752 721570697 978022196 715863073 978024546 715861777 983770216 548489967 983772110 548488359 993346712 700603964 993347483 700600014 999991684 135189186 999993886 135187803 999983065 26679111 999984174 26676365 999999638 8891274 999999843 8876419 999998292 624569072 999999476 624566500 999990808 16475190 999991419 16470206 984095100 554476327 984096398 554473981 993092573 710136180 993094535 710134628 999999837 28971835 999999983 28950979 993144438 710126988 993146269 710125325 999999990 102061103 999999991 99016213 999999998 144019666 999999999 140974900 999999975 920725437 999999982 920290472 999999944 636938816 999999971 636826048 984021683 548461287 984024009 548459978 999998060 63997389 999999365 63995056 999998060 63584082 999999365 63581749 999992025 30782725 999993513 30780679 999173575 4813278 999174598 4810302 999999995 697094843 999999996 694050531 999996307 650671517 999997674 650669290 999991419 18156977 999991537 18131178 984100525 554475173 984102826 554473850 999149473 81580518 999151632 81579108 999999314 25486054 999999605 25475593 999999605 25038124 999999895 25027627 978109866 715881421 978110877 715878410 999976206 81168902 999977847 81167047 999994156 229337255 999994326 229319349 984009058 548466450 984010944 548464836 999990808 16253804 999991419 16248822 999991537 20256442 999993059 20254442 999996808 30212986 999998840 30211488 999993513 30089042 999994848 30086762 993095232 710170759 993097490 710169411 999994321 9079637 999996509 9078246 978113629 715966972 978115698 715965501 999999999 903212190 1000000000 900168742 999992601 134187795 999994891 134186466 993361784 700687307 993363390 700685412 999994294 20336430 999995338 20333515 999999969 660023670 999999993 659896869 999981420 10609362 999982629 10606845 984090251 548565256 984091090 548561629 999971889 80994595 999974165 80993258 983640044 548959434 983642823 548958339 999999923 226659976 999999955 226564883 983832889 548504471 983834919 548502972 999996307 657834765 999997674 657832539 992112099 719884855 992113414 719882541 999999841 640986028 999999884 640915263 999998292 624663768 999999476 624661198 999980190 135186460 999982306 135185022 992134734 719876556 992136577 719874905 999999605 10908360 999999836 10895188 999983024 30754244 999984365 30751975 984076349 548961057 984078142 548959360 983980431 554626562 983981416 554623473 999995826 78086807 999996868 78083887 999999455 6666528 999999607 6646511 999999144 9419837 999999638 9413678 999999144 8948074 999999638 8941915 999991419 19047459 999991537 19021675 999999730 5277024 999999894 5258473 999999946 746297355 999999975 746192449 999999638 7894035 999999843 7879195 999990808 24363565 999991419 24358586 999999955 208494644 999999976 208349783 993158961 710118512 993160600 710116656 999999435 771976437 999999752 771966841 999994981 30100107 999997497 30098898 978116593 715906723 978117903 715904401 999999982 119426280 999999988 118919313 993162088 710131694 993163904 710130019 999999936 8634383 999999965 8529494 998826086 196275170 998827676 196273257 977346538 715068245 977348055 715066240 999996307 651202959 999997674 651200734 999996307 650836032 999997674 650833807 999990808 16025779 999991419 16020801 977996901 715743869 977998759 715742232 984013319 548465996 984015123 548464310 999146641 4944544 999147886 4942101 998741956 196309449 998743120 196306836 999979808 80962672 999982128 80961361 978684860 715763190 978687140 715761856 999999987 618752599 999999990 617738788 999999843 9822618 999999936 9789915 978108698 715899151 978109783 715896348 999999909 211169744 999999919 210865620 999984568 134189699 999986294 134187937 999995738 29989496 999998144 29988232 999999899 16761036 999999943 16691919 984094965 548519696 984097006 548518206 978683988 715807774 978685470 715805722 999999435 720539447 999999752 720529854 999994156 227574585 999994326 227556697 999990808 15909244 999991419 15904267 993363944 700662884 993366711 700661785 999999605 10954554 999999836 10941390 999998840 30527843 999999605 30523868 999988530 134192848 999990301 134191131 999999946 728737614 999999975 728632766 999993414 9053863 999994622 9051346 999998292 624111521 999999476 624108953 999976274 135253781 999977986 135252005 999999899 24412984 999999943 24343882 999997287 5056696 999999286 5055175 999997287 4743223 999999286 4741702 983973027 554620938 983974804 554619227 999999988 761211324 999999989 758170917 999999841 649535033 999999884 649464327 999999997 858993985 999999998 855953663 983645300 548940773 983647612 548939458 978018848 715812805 978019549 715808468 999996307 656807871 999997674 656805647 999996307 656774916 999997674 656772692 999996307 656712315 999997674 656710091 999996307 651369431 999997674 651367207 999993513 30010316 999997077 30009463 978018884 715820328 978020667 715818623 999942218 3182 999943738 1182 999144101 81569413 999147301 81568463 999999925 656771336 999999979 656715040 992118910 719744343 992120461 719742383 999996150 11085536 999997854 11083752 984072993 548564620 984073803 548560867 999999410 227554222 999999909 227548130 984079701 548568409 984081013 548566092 999999925 642218726 999999979 642162432 992133234 719860117 992134396 719857501 999994156 223878312 999994326 223860431 999999882 34657810 999999997 34631378 999997416 24846514 999999367 24844956 999999948 112430178 999999959 112153847 984057980 548456604 984059038 548453731 984070253 554476562 984071036 554472680 999971889 80979806 999973914 80978305 992131098 719878387 992132758 719876556 992109874 719870389 992111636 719868664 993160381 710121363 993161969 710119449 999999946 757235666 999999975 757130859 999998060 56676214 999999365 56673885 978632922 715738511 978634227 715736182 999998292 624884693 999999476 624882126 999997312 11064737 999999144 11063078 999108346 81568718 999110242 81567115 993132466 710133940 993134023 710131988 984043661 548465431 984045275 548463548 998835224 196271961 998837017 196270266 999999542 27637923 999999837 27627621 999999144 9351094 999999638 9344942 999999944 632773628 999999971 632661071 999991419 22999752 999991537 22973998 999999884 639800962 999999925 639726841 999981238 133265393 999984135 133264344 978023655 715837622 978025348 715835827 999999923 201493047 999999955 201398082 999994432 24977421 999995406 24974301 999998169 195667630 999999746 195665703 999991419 18624191 999991537 18598438 999996307 657930031 999997674 657927808 984076264 548567213 984077686 548565076 999999329 724684132 999999435 724655464 999977924 133215190 999979100 133212606 999151409 4969314 999153534 4967884 978106741 715871111 978108554 715869435 999994956 133279690 999997828 133278632 999999923 227814659 999999955 227719704 999157074 4967187 999159446 4965906 999999948 186856796 999999959 186580574 999999882 30958741 999999997 30932320 999997240 30168398 999998840 30166499 984049672 554473937 984051283 554472051 983763682 548506623 983765903 548505255 978117335 715945935 978119040 715944153 993135343 710115377 993137636 710114052 999999969 694265351 999999993 694138759 999999841 656275754 999999884 656205099 999992293 80956581 999993996 80954797 999998292 624593959 999999476 624591393 993355542 700657793 993356773 700655325 999001745 4973379 999004403 4972236 999986878 135224847 999988297 135222706 999992212 18871833 999994627 18870575 999995520 24709302 999997269 24707565 993098302 710148713 993099924 710146840 999141794 81574711 999143667 81573089 999990808 24305142 999991419 24300170 984043437 548453903 984044209 548449968 999999435 777660019 999999752 777650436 983745794 548503855 983748415 548502696 999999882 37166059 999999997 37139644 999999944 624009172 999999971 623896666 984081886 548461898 984083520 548460039 983972972 554664964 983974693 554663199 999997287 4426352 999998895 4424463 984025802 548467113 984028052 548465763 977359002 715074821 977361353 715073529 999996307 656885819 999997674 656883597 999991419 17115345 999991537 17089604 999102513 81564240 999104695 81562848 999999542 29546603 999999837 29536307 999998169 90862126 999999746 90860200 999990808 23330728 999991419 23325757 999984744 133258509 999986176 133256388 978115278 715877492 978116885 715875602 999999948 83249083 999999959 82972983 992138345 719848333 992139984 719846480 999981420 11126202 999982629 11123690 984021797 548459360 984023724 548457784 999992562 20060154 999995338 20059060 999999286 6568203 999999455 6550233 999994156 221718070 999994326 221700206 978112185 716056417 978113416 716053950 999993513 30051178 999995159 30049333 999999985 760961005 999999986 757924137 999999948 177751681 999999959 177475608 983751281 548491789 983752478 548489252 983973762 554686138 983974987 554683659 999998060 60364128 999999365 60361801 977364503 715059993 977366431 715058418 999994233 20307573 999995338 20304825 999999948 168832302 999999959 168556254 999997287 5028636 999999286 5027117 978503764 716056245 978505759 716054723 999999995 118202599 999999996 115166238 999999982 183074801 999999988 182568767 993095761 710152441 993098429 710151303 999979298 133272720 999980442 133270066 999990808 23274067 999991419 23269098 999983375 133261528 999985425 133260047 978577699 715765350 978579529 715763691 999999329 726602223 999999435 726573582 999999410 229266077 999999909 229259993 999989285 135247566 999991104 135245897 978504744 716047062 978505759 716044071 999981420 9891045 999982629 9888534 978024108 715852798 978025390 715850430 978115163 715897921 978116740 715895996 978022341 715811826 978023245 715808468 999985132 80973861 999987107 80972324 999984128 133225442 999985453 133223151 992138260 719854527 992139485 719852049 992077319 719740428 992079801 719739205 998937438 91964145 998939543 91962703 999999329 723235725 999999435 723207090 999999990 107581128 999999991 104545835 999999925 643043185 999999979 642986976 984082354 548704145 984084269 548702560 999999982 94114277 999999988 93608417 984079571 548555926 984080765 548553384 998848548 196265524 998850030 196263476 999980595 134187937 999982006 134185786 999987107 80974008 999988696 80972098 999999930 796115518 999999951 795970995 999999882 37332183 999999997 37305792 999997129 196112940 999999045 196111356 999999638 24968541 999999758 24943250 999981854 81139328 999984066 81137956 999990808 23902815 999991419 23897848 999999710 703634 999999947 690829 999999789 719454787 999999932 719433565 999996307 651335032 999997674 651332812 999999993 709978806 999999995 708461501 999998292 624007369 999999476 624004806 999981420 10530659 999982629 10528149 999981420 10095783 999982629 10093273 999999329 726866585 999999435 726837957 999972741 80959153 999974569 80957493 978027938 715834329 978030397 715833095 999999996 869563152 999999997 866528865 999999314 26581806 999999605 26571379 984072977 548714110 984075012 548712619 999999944 638505071 999999971 638392694 999998169 195478660 999999746 195476736 999999993 891129140 999999996 890117762 999999982 166762756 999999988 166257101 999999884 642317376 999999925 642243385 984100851 548534871 984102826 548533335 993157980 710114178 993159832 710112540 999999982 124536695 999999988 124031101 999999923 216901728 999999955 216806932 999998292 623863262 999999476 623860700 984024009 548461383 984026168 548459978 999981420 10913689 999982629 10911180 999981420 9862850 999982629 9860341 999999286 5957756 999999455 5939807 999999435 777533940 999999752 777524371 999996307 657728255 999997674 657726036 999996307 650365999 999997674 650363780 999993281 133271784 999995116 133270131 999999638 7963189 999999843 7948393 999999329 720688952 999999435 720660338 999999969 678228837 999999993 678102460 999999989 141535560 999999990 138502529 999983098 80948903 999984898 80947218 999991419 18858483 999991537 18832780 999999542 29318565 999999837 29308284 999998060 60290004 999999365 60287680 999999992 172369739 999999993 169337031 999983850 135191455 999985432 135189538 999999997 883035254 999999998 880002561 999998169 196010090 999999746 196008167 999998169 90728589 999999746 90726666 999002781 4943262 999005393 4942101 999997287 4393215 999999286 4391698 999999410 231225767 999999909 231219690 999999410 227345921 999999909 227339844 999020316 4956196 999021888 4954267 999999998 717715825 999999999 714683483 999999999 977015940 1000000000 973983668 999998292 623962360 999999476 623959799 999996307 651159694 999997674 651157476 999124446 81569463 999125787 81567202 984054675 548450174 984056050 548447969 978022773 715749189 978023551 715745292 978600673 715747563 978602337 715745741 999980834 135208458 999982169 135206187 999998060 63215269 999999365 63212946 999998060 60009759 999999365 60007436 999998060 56584931 999999365 56582608 999999969 658861543 999999993 658735232 984075012 548725582 984076716 548723803 999999149 26581060 999999314 26562688 983652727 548926882 983654210 548924838 977316796 715061112 977317733 715057877 993099092 710152441 993100550 710150362 999990808 15942314 999991419 15937353 984072585 548844322 984074368 548842622 999997521 29993019 999998840 29990721 999998169 195930196 999999746 195928274 999978036 133246960 999979459 133244830 999999899 23125616 999999943 23056734 999999605 26539539 999999895 26529088 992058697 719741160 992060220 719739170 999994156 221407296 999994326 221389468 992121031 719861492 992122493 719859419 999999983 635879912 999999987 635122234 999996307 657363399 999997674 657361182 999996307 657129389 999997674 657127172 977359225 715078827 977361669 715077587 992115822 719846199 992117412 719844293 999997287 5129797 999999286 5128281 999999925 655169444 999999979 655113324 999993131 20045076 999995338 20043703 999998060 63470096 999999365 63467774 999999980 759884851 999999981 756854702 999977146 135259124 999979262 135257692 992133877 719873586 992135522 719871744 999999979 657153093 999999997 656984755 984057574 554483140 984060202 554481987 999999598 19998081 999999829 19984964 999972014 133219754 999973409 133217582 999996441 30135519 999998840 30134256 992116746 719868824 992118018 719866442 999999990 6445483 999999993 5435535 999999999 205386064 1000000000 202356252 999999983 27932422 999999996 27699362 984075360 548561174 984077280 548559596 999999144 10181527 999999638 10175394 999999144 9973022 999999638 9966889 999999925 651424593 999999979 651368488 999981854 81139958 999986663 81139328 978114693 715964067 978116030 715961801 999999979 646752512 999999997 646584204 999999994 173877589 999999995 170848088 999998169 91601417 999999746 91599496 999998169 90691133 999999746 90689212 998854282 91966663 998855047 91962703 993369991 700596778 993371071 700593973 999999455 6038291 999999607 6018361 999996307 657389229 999997674 657387013 999996307 651325332 999997674 651323116 978578840 715744436 978580598 715742713 998871994 196273637 998873880 196272031 999998060 64033834 999999365 64031513 983974667 554643327 983976693 554641832 999972756 80966977 999974155 80964812 983753399 548547300 983754648 548544875 999988101 81174219 999990219 81172789 999999144 8746912 999999638 8740781 993365796 700611198 993368087 700609876 983648220 548910132 983651869 548909302 999976488 78133497 999978394 78131908 999999435 771776992 999999752 771767438 993356732 700617115 993358103 700614906 984079110 548700346 984080456 548698096 999993972 625296347 999996307 625295050 999999923 197973295 999999955 197878657 999177965 4807671 999179773 4805996 999999435 733336177 999999752 733326624 999985399 133218169 999986550 133215538 999982055 133270684 999985508 133269807 998860593 2783 998862281 989 999999829 16473648 999999899 16430387 999999144 8185301 999999638 8179171 999994156 222614029 999994326 222596216 999132724 81581505 999134711 81579981 978613884 715738156 978615418 715736182 999999975 975657654 999999982 975225070 998738952 196252661 998740728 196250956 999979595 135259657 999981136 135257692 999999923 215014386 999999955 214919759 978612420 715741195 978614695 715739864 998995170 4961780 998997403 4960424 999004471 4955636 999005518 4952744 999996307 651279665 999997674 651277450 999996307 651169126 999997674 651166911 978114820 715993743 978116681 715992116 978113403 715951598 978114286 715948169 999999329 728739342 999999435 728710778 999999607 5020522 999999730 4995906 984076573 548556226 984079333 548555129 999987425 134202992 999989322 134201396 999998060 62713104 999999365 62710784 978609131 715742469 978610869 715740727 992107964 719857792 992109405 719855691 999994314 24951337 999995585 24948955 999998292 623790673 999999476 623788116 999999410 228981418 999999909 228975351 984072537 548593930 984075423 548592881 992054516 719740155 992056353 719738507 999999435 772312046 999999752 772302496 999999435 732118036 999999752 732108486 999999946 745665559 999999975 745561168 993128026 710134563 993129632 710132678 999999822 15008912 999999980 14989752 978022196 715861777 978024185 715860255 999999710 3245837 999999947 3233064 999999710 163003 999999947 150230 992097395 719741143 992098776 719738951 999988795 30799833 999990345 30797880 999173203 4809144 999174598 4806974 999999286 5587362 999999455 5569450 999999995 754118879 999999996 751091753 999999997 155455213 999999998 152428101 999998840 30723726 999999605 30719769 999999925 639609295 999999979 639553238 983754648 548552821 983756658 548551315 999999435 777026232 999999752 777016683 998758041 196283566 998758899 196280038 999993414 11096651 999996186 11095559 999999990 137549544 999999991 134522554 999999841 653034748 999999884 652964355 999999899 23760761 999999943 23691968 983638409 548921226 983640267 548919597 999157074 4968463 999159446 4967187 993352313 700601642 993354179 700600020 978483776 716051338 978485894 716049909 999973045 81521781 999976096 81520789 998740458 196304369 998745100 196303717 999999930 780724886 999999951 780580765 999996307 657616215 999997674 657614001 999991441 26681413 999993423 26679886 999999710 3030492 999999947 3017722 978113423 715941839 978116782 715940938 999999329 723383074 999999435 723354523 999999944 629631355 999999971 629519266 999994576 30219886 999996976 30218625 998753811 196287856 998755359 196285901 999998169 195995707 999999746 195993788 999998169 195818309 999999746 195816390 999998169 195787069 999999746 195785150 999991419 19482084 999991537 19456438 999971889 81167502 999976206 81166801 999998314 11063078 999999144 11059432 984070320 548584423 984072098 548582721 984076074 554485495 984076648 554480223 999985319 30766092 999986467 30763456 999981420 9963574 999982629 9961071 993356773 700656806 993357936 700654204 984072195 548957054 984074521 548955753 999999969 709148071 999999993 709021986 978107599 715894811 978108935 715892546 999999969 686468234 999999993 686342150 978112918 715969888 978114577 715968064 978481895 716057801 978483278 716055613 998864885 196251547 998870005 196250956 999999598 15661694 999999829 15648595 984072360 548832990 984074099 548831250 984072598 548701304 984074398 548699623 993364887 700622778 993366379 700620750 978108462 716060332 978110365 716058742 978020775 715848635 978022846 715847174 999976432 78088955 999978904 78087731 977328834 715074897 977330688 715073265 999991419 24520073 999991537 24494432 999998840 30742060 999999605 30738105 983647076 548935940 983648923 548934302 999997129 196128069 999999045 196126490 984069445 548711734 984071730 548710410 983639633 548961057 983641497 548959434 999996307 651010383 999997674 651008170 999996307 650607208 999997674 650604995 999999789 717894043 999999932 717872888 999983117 135252711 999983949 135249075 999993333 20118627 999995318 20117103 983648445 548957028 983649655 548954528 983768537 548520635 983773910 548520072 999998060 63372198 999999365 63369880 999998060 56408322 999999365 56406004 978107628 716055956 978109033 716053803 999999329 721722851 999999435 721694314 978118109 716033850 978119718 716031970 993340497 700617414 993342751 700616072 999999969 703932165 999999993 703806136 999998169 91323643 999999746 91321725 999998169 90812554 999999746 90810636 984093481 548553384 984095049 548551455 999999982 179840267 999999988 179336156 999999730 5203556 999999894 5185114 999990808 24434698 999991419 24429748 993092956 710175436 993094299 710173184 999999605 25207363 999999895 25196934 999991871 20020989 999993407 20019020 999999998 805728488 999999999 802704188 999992863 135249075 999994731 135247456 993165358 710130611 993168297 710129582 999999975 973001858 999999982 972569828 999999989 86967676 999999990 83943603 992070652 719752081 992072384 719750335 999999410 229345826 999999909 229339766 999148649 81562316 999150167 81560324 999999598 19785221 999999829 19772131 999999923 218303784 999999955 218209293 999998060 63383233 999999365 63380916 984099016 548700181 984100154 548697524 999999829 18479396 999999899 18436201 999997547 4287830 999999177 4285975 999997287 4928957 999998964 4927154 978116198 716013127 978117722 716011143 999993749 11062594 999994817 11059763 984095378 548526328 984097653 548524999 983656759 548901959 983660024 548901033 999991257 64117498 999992658 64115340 999999884 647433435 999999925 647359696 999992892 20180263 999995338 20179027 993154267 710135632 993155489 710133158 999998169 195308902 999999746 195306985 999972987 135229796 999974466 135227752 999999121 25696822 999999149 25588857 999999329 734897986 999999435 734869467 984086810 548831940 984089700 548830894 999998292 624717003 999999476 624714450 992108702 719755014 992111196 719753802 999979278 133277415 999980937 133275593 999180361 4841478 999182978 4840323 999999975 900687188 999999982 900255417 999998060 63972191 999999365 63969875 999998060 56625175 999999365 56622859 999999969 700025454 999999993 699899523 999991165 80992214 999992683 80990223 999994314 24997753 999997433 24996784 984063457 548459233 984065186 548457485 999141700 91964156 999143780 91962703 999999789 715694742 999999932 715673608 999972524 133265844 999974470 133264291 999991622 81511191 999993196 81509271 978013086 715840541 978015189 715839104 999997247 10939139 999999144 10937546 984095380 548486551 984097167 548484860 999999710 531552 999999947 518802 999996051 30098898 999998176 30097476 999987711 81535168 999988487 81531274 999999329 723105275 999999435 723076768 993096662 710116273 993098479 710114610 999135797 81571980 999138384 81570812 999998169 195970189 999999746 195968273 999998169 195887458 999999746 195885542 999993016 64114822 999994725 64113054 999991419 19332144 999991537 19306538 983972423 554673757 983974385 554672217 999999789 715606095 999999932 715584966 999999329 725978547 999999435 725950043 999171181 4819987 999172542 4817767 992107657 719852988 992109826 719851595 999996113 30028258 999997067 30025091 999999149 25677140 999999314 25658829 984099677 548464465 984101469 548462779 999999641 645271704 999999644 644264640 999998060 56390505 999999365 56388190 999998060 56352124 999999365 56349809 999999435 720918045 999999752 720908515 999993400 133254527 999996424 133253528 999999925 640272592 999999979 640216649 999999993 999571710 999999996 998564779 999999329 732242091 999999435 732213593 998857221 196257972 998859054 196256324 984089365 548529636 984091805 548528398 992120461 719744165 992121316 719740632 999999829 17561196 999999899 17518044 999999996 877597439 999999997 874576852 984096395 548838989 984098142 548837260 993345634 700605736 993346712 700602934 999999948 87792548 999999959 87517954 999999149 25250695 999999314 25232389 999997287 4655340 999999286 4653829 999996124 80995966 999998169 80994489 999999995 136424042 999999996 133403610 999999435 774819037 999999752 774809509 998833477 196263042 998834446 196259925 984097653 548527328 984099907 548525988 999999948 175968606 999999959 175694029 999999710 247767 999999947 235023 999999882 33377782 999999997 33351519 999999542 27794029 999999837 27783791 999981420 10012952 999982629 10010454 983642212 548940773 983645300 548939795 999998169 91234370 999999746 91232455 999999329 731385995 999999435 731357505 999999329 729604602 999999435 729576112 999994156 226211252 999994326 226193488 999991537 19028816 999993073 19026850 999998060 59969992 999999365 59967678 999999435 774757551 999999752 774748025 999996307 657718739 999997674 657716530 999996307 657078109 999997674 657075900 998752955 196253647 998755012 196252179 999991419 18700571 999991537 18674981 999996023 135203884 999998169 135202477 999999975 931210828 999999982 930779486 999995342 11045529 999996727 11043349 999999822 15277192 999999980 15258083 999999882 31337857 999999997 31311603 999998292 624639082 999999476 624636532 999999982 92775507 999999988 92272318 999999975 806495352 999999982 806064053 999999999 177423731 1000000000 174404685 992112877 719889593 992114736 719887969 999989259 30766092 999990267 30763097 984090125 548528398 984091805 548526601 999990808 16347242 999991419 16342301 999999974 1000000000 999999975 996981076 999999997 723732811 999999998 720713949 999999435 775887713 999999752 775878190 999973600 78109437 999975434 78107791 999999542 27188959 999999837 27178726 978686545 715787288 978688301 715785569 999999329 776080641 999999435 776052164 999999955 207109302 999999976 206965564 999999435 772026426 999999752 772016904 999999542 28384038 999999837 28373806 999998169 90969417 999999746 90967503 999999144 9755827 999999638 9749717 999996307 651499660 999997674 651497452 999996307 650729790 999997674 650727582 999999841 650300198 999999884 650230006 999999144 10859699 999999605 10853152 999999975 927378708 999999982 926947550 979531195 713842398 979533165 713840866 998870991 196280346 998871994 196277337 999987042 133223151 999989050 133221648 999999314 25735950 999999605 25725579 977339456 715066399 977340465 715063408 998846590 196269451 998851645 196268854 999999946 760066707 999999975 759962644 999999455 6618279 999999607 6598425 999943738 3182 999945713 1654 999999948 99270108 999999959 98995765 992112503 719851684 992115542 719850691 999999638 24790323 999999758 24765176 999999884 652523130 999999925 652449531 999999598 24555272 999999829 24542209 992112964 719886633 992115124 719885236 999999882 37381118 999999997 37354879 978615848 715741421 978617262 715739287 998875819 196265785 998877757 196264228 999999990 168779257 999999991 165761797 992137194 719742734 992139026 719741087 978579827 715802550 978581257 715800440 999994627 30144883 999996695 30143424 999999923 224297280 999999955 224202993 993357171 700593679 993357906 700589574 999998060 64019417 999999365 64017105 999998060 64008742 999999365 64006430 999998060 59890756 999999365 59888444 999009859 4965345 999011019 4962744 999060009 91966522 999061381 91964323 999994156 227118345 999994326 227100598 999996307 657575388 999997674 657573181 999996307 657315600 999997674 657313393 999996307 651000106 999997674 650997899 978015757 715736612 978022773 715736182 999999367 24702760 999999638 24691628 999999946 723588315 999999975 723484289 978111072 715902444 978112669 715900555 999994778 625009353 999996307 625007380 999999435 732006088 999999752 731996572 999999948 151400424 999999959 151126191 999997209 196249210 999999045 196247567 998743818 196270148 998745100 196267795 999994156 230758924 999994326 230741180 999994156 225890684 999994326 225872940 999999410 229867214 999999909 229861169 999999948 127110638 999999959 126836419 978503078 716057139 978503764 716052742 999019921 4949657 999021528 4947780 984072484 548581037 984073754 548578662 999999882 36003636 999999997 35977408 999999598 21627529 999999829 21614472 999995724 30236521 999998037 30235217 999981643 78134952 999983276 78133105 984085575 548460767 984087460 548459167 983975840 554631508 983977297 554629438 999999435 777172249 999999752 777162735 993228657 700607758 993230833 700606372 999999605 10555006 999999836 10541950 999998060 62761765 999999365 62759454 984081183 548591223 984083412 548589870 999999944 639030812 999999971 638919118 999977778 78102844 999980887 78101874 999985397 2169 999986788 1 999997043 10975666 999998283 10973234 999998292 624206302 999999476 624203755 999998292 623663747 999999476 623661200 983640044 548957045 983641613 548955123 999993032 625294920 999995357 625293623 999991537 20208418 999993779 20207073 999999946 742137894 999999975 742033913 999999476 629634716 999999484 629257790 999996051 11031415 999997500 11029334 999971889 135190892 999974116 135189538 999999314 26026138 999999605 26015776 999995363 24972602 999996786 24970483 983976618 554588972 983978524 554587390 998752489 196309668 998753822 196307406 999999455 6131110 999999607 6111273 999998169 90774591 999999746 90772679 978582779 715740334 978584109 715738067 999997331 30017880 999998840 30015882 992113679 719746328 992115188 719744330 999972367 134189237 999973179 134185524 977336415 715078872 977338102 715077085 999991419 20368136 999991537 20342588 999994179 11071265 999995641 11069203 999991419 23632321 999991537 23606774 999991441 64086543 999993452 64085044 999999975 810471057 999999982 810040417 999998292 624092195 999999476 624089649 999998292 623493077 999999476 623490531 999952459 2145 999953865 1 999999982 132098363 999999988 131595974 999996624 81508728 999998169 81506777 999990824 134193062 999992385 134191131 999996307 657711315 999997674 657709110 999996307 650727582 999997674 650725377 999999982 22876839 999999983 19862623 999998840 30302516 999999605 30298576 978108650 716050942 978110746 716049504 999128711 91966663 999130047 91964407 999994053 30075486 999996279 30074132 999999946 773356081 999999975 773252151 984094436 548483523 984096529 548482083 999999998 758705301 999999999 755691402 999994259 11019111 999995803 11017159 999982552 81505014 999984468 81503441 999999455 5123295 999999607 5103467 999999969 665587699 999999993 665462122 977988468 715737764 977990373 715736182 999999995 682222199 999999996 679208494 993331252 700610453 993332988 700608717 978116905 716064818 978118336 716062712 979520565 713841451 979522023 713839384 999998169 195500566 999999746 195498655 977979425 715746200 977982231 715745126 999999925 650953943 999999979 650898135 999999605 30165295 999999855 30153241 999979447 133239986 999980956 133237989 999999410 228700837 999999909 228694798 999999894 6150126 999999965 6107683 984090641 548545122 984092541 548543536 999998840 30019928 999999605 30015989 992108926 719862619 992110709 719860929 999998060 59857788 999999365 59855479 999998060 56422609 999999365 56420300 999994314 24981294 999996696 24980029 984076249 548459513 984077799 548457569 999999923 204810450 999999955 204716288 984075012 548698802 984076313 548696486 999999435 734027347 999999752 734017842 999999435 720529854 999999752 720520349 999996307 657275707 999997674 657273503 999996307 657107361 999997674 657105157 999996307 650773759 999997674 650771555 999999435 732367594 999999752 732358090 999994314 24875667 999996081 24873962 978113752 715972271 978115313 715970341 983836134 548532706 983837774 548530869 998757464 196296014 998758397 196292785 999973600 78115905 999975174 78113991 999992489 30780228 999993513 30777286 999999946 750888393 999999975 750784511 999991951 81519818 999994123 81518431 999997287 4661136 999999286 4659629 999999455 4378876 999999607 4359057 999996696 10911878 999998890 10910505 977366706 715064349 977369016 715063045 999999598 16099782 999999829 16086742 999973352 81504499 999976199 81503441 999997021 196250955 999997129 196223065 984100033 554484753 984101729 554482977 999998169 195582487 999999746 195580577 999999982 156964559 999999988 156462557 999998060 60359415 999999365 60357107 993093858 710168083 993095099 710165656 992124056 719844196 992126539 719842983 983974328 554654762 983976160 554653118 984045185 554477190 984046374 554474657 999985932 78078119 999987595 78076308 993364523 700649570 993365594 700646758 999999542 26725669 999999623 26688489 999999286 6063712 999999455 6045892 999995852 80956240 999997939 80954797 999996307 650267145 999997674 650264942 999999946 774365330 999999975 774261486 999999909 201531331 999999919 201230185 999991105 135187454 999992557 135185380 978118370 715948169 978119718 715945935 999985252 80992214 999986940 80990430 999999314 25069404 999999605 25059056 999999975 792458474 999999982 792028312 984097205 548467113 984099041 548465473 993366379 700623261 993368621 700621918 999999946 754443771 999999975 754339944 993097186 710117557 993099531 710116273 999999455 5433068 999999607 5413259 999999974 898328128 999999975 895317231 993241532 700595746 993243180 700593919 999999969 698236502 999999993 698111049 978493022 716052790 978494924 716051207 978623680 715738764 978625588 715737186 993369260 700593973 993370786 700592000 984072896 548575033 984077675 548574403 999999717 14227130 999999822 14198456 999124325 81562997 999125438 81560292 999999923 210442080 999999955 210347999 999993658 18867306 999995338 18865514 999994128 20029920 999995081 20026761 999997287 4418994 999999286 4417488 999998169 91152171 999999746 91150262 978684752 715818682 978685731 715815607 999015617 4960134 999017392 4958438 999999598 15791320 999999829 15778288 999991537 16263676 999995338 16262884 998834945 196275231 998836331 196273059 999999948 67770517 999999959 67496846 999999598 24341451 999999829 24328420 999996307 657706557 999997674 657704355 999996307 657367962 999997674 657365760 977353715 715060554 977355192 715058516 999999923 205615812 999999955 205521750 999999410 228360063 999999909 228354031 999999435 771849209 999999752 771839714 999999435 771543606 999999752 771534111 983975562 554578530 983978064 554577327 999999638 9485285 999999843 9470603 979498351 713838206 979500107 713836492 983650462 548943003 983652542 548941556 999979698 81170055 999981510 81168394 984072087 548459921 984073504 548457797 999999969 698883533 999999993 698758130 992125813 719887281 992127572 719885570 977957699 715745974 977960517 715744906 977344689 715082543 977346273 715080643 978106673 716033820 978108314 716031986 992106069 719753616 992108702 719752473 999998840 30569167 999999605 30565233 999999993 789678196 999999996 788675079 999998060 60341138 999999365 60338832 993339278 700596882 993340834 700594948 984089834 548459210 984091783 548457666 999999983 29914483 999999996 29683002 999982445 133229372 999984128 133227584 999981420 10971018 999982629 10968529 999981420 10934087 999982629 10931598 999999996 833405848 999999997 830396713 999977372 30757085 999978982 30755216 999999717 13715298 999999822 13686640 993153264 710126981 993158470 710126403 992133345 719849998 992135473 719848584 999971902 80969443 999973900 80967937 999999931 620227556 999999944 619996096 999999435 776639758 999999752 776630266 998842682 196257996 998844092 196255862 984083843 548845088 984086254 548843840 999998169 196019636 999999746 196017728 999998169 195965469 999999746 195963561 999996307 650513835 999997674 650511634 978578858 715795036 978582427 715794193 999993984 30153945 999995416 30151844 983754776 548533959 983757033 548532626 999998292 624398942 999999476 624396401 999117056 81566262 999118092 81563358 983749274 548552022 983750446 548549455 999999993 988988427 999999996 987985594 984099284 548953717 984100682 548951565 999997287 4512208 999999286 4510703 999997014 30249997 999998746 30248260 984066795 548957143 984069871 548956165 999999598 16746029 999999829 16733006 993371160 700608463 993373025 700606850 999999993 871353023 999999996 870350288 978105948 715894368 978107599 715892546 999999989 178986656 999999990 175978613 998742008 196275310 998743614 196273437 999998060 56328263 999999365 56325958 999999329 730418797 999999435 730390420 999974179 81163644 999975555 81161458 978116681 715994648 978118958 715993327 984008905 548458412 984010792 548456818 999999922 11419908 999999934 11169258 999999999 743321597 1000000000 740313803 999993032 624785640 999994042 624782662 978094200 716046116 978095963 716044410 992121161 719847421 992122493 719845163 999999943 20706221 999999956 20474864 999999948 100451908 999999959 100178492 999999542 29125900 999999837 29115705 999999286 6119706 999999455 6101910 999999882 32254917 999999997 32228765 999988110 133258256 999989720 133256388 999999995 215822849 999999996 212815374 999999789 713042994 999999932 713021963 999999991 142158112 999999992 139150690 999999598 17918720 999999829 17905701 999999435 772943709 999999752 772934222 999999946 724023901 999999975 723920199 993097138 710161381 993098124 710158331 999999710 3439117 999999947 3426428 984096476 548480003 984097830 548477782 999110128 81559318 999113334 81558380 999999598 17942912 999999829 17929894 984100258 548509234 984102826 548508063 978117458 716022909 978118943 716020884 999999435 772214927 999999752 772205441 999999410 229080950 999999909 229074924 999999542 28302155 999999837 28291962 983768537 548522566 983771154 548521417 984074801 548573824 984076852 548572358 998998523 4957882 998999642 4955195 999999598 23595243 999999829 23582227 999993087 625126034 999994714 625124186 999999946 721630222 999999975 721526543 999123530 81569463 999123995 81562997 999999988 777800324 999999989 774793643 993369727 700655450 993372117 700654192 978688832 715811935 978690006 715809374 999999314 25805845 999999605 25795513 993235892 700603096 993238831 700602073 983650496 548951451 983652243 548949730 999980442 133273843 999981238 133270066 999993032 625195583 999996307 625194665 999998840 30432062 999999605 30428132 983656872 548917568 983658588 548915816 999975835 80983318 999977316 80981288 999999944 618332760 999999971 618221411 999994554 625113558 999996307 625111843 999999923 222137805 999999955 222043857 984081604 548449457 984084503 548448420 998864885 196261982 998866855 196260456 999012006 4949380 999014129 4947964 999999998 216482684 999999999 213476518 999999435 777614615 999999752 777605132 999984864 135204070 999986171 135201770 999999955 201118031 999999976 200974884 999996307 651536697 999997674 651534498 999999946 742823537 999999975 742719881 999994895 30246225 999997755 30245174 993370613 700651931 993372063 700649858 999999925 647996635 999999979 647940974 999982290 81514502 999984078 81512821 999999976 206045451 999999984 205669754 999999598 24228492 999999829 24215481 999994105 135203534 999995734 135201689 999999923 204997039 999999955 204903117 977988570 715746975 977990546 715745454 999999435 774896928 999999752 774887447 999999999 129110397 1000000000 126104932 984068484 548835553 984069938 548833486 999996349 135208458 999997635 135206121 999991419 18073281 999991537 18047812 992134529 719852472 992135985 719850408 999977141 81543080 999979449 81541778 999992482 16383315 999994476 16381808 978580103 715751675 978582427 715750382 999999955 219975517 999999976 219832425 999987089 81182754 999988673 81180857 993102325 710114371 993104104 710112682 999993260 64100033 999994680 64097917 979492098 713842869 979493748 713841048 999991419 24379638 999991537 24354176 999999894 5190740 999999965 5148423 999999975 926776773 999999982 926347559 999995071 11110482 999996893 11108833 978112311 715886052 978113499 715883523 999999974 874152419 999999975 871148000 984082354 548710451 984084683 548709161 999991419 21593077 999991537 21567617 999998840 30505995 999999605 30502068 999160178 4958455 999162065 4956863 999986253 26676365 999988054 26674697 999999822 15235548 999999980 15216535 999016060 4971371 999018679 4970224 999996459 24900353 999999367 24899320 984082781 548729407 984084448 548727605 983748642 548537965 983750000 548535753 984063709 548464442 984065263 548462509 983641962 548902890 983644842 548901847 999998292 624135696 999999476 624133159 999999476 621158795 999999484 620783320 998863876 196255276 998864885 196252299 999999943 23817670 999999970 23706419 999999997 910752623 999999998 907748961 984050539 548453122 984051649 548450416 984090949 548729590 984092132 548727051 992133990 719888809 992135112 719886132 993328452 700603763 993329545 700601015 999999975 823836177 999999982 823407098 978117626 715984507 978119175 715982568 999999997 58282917 1000000000 57281755 999999410 227751570 999999909 227745551 999999286 4762044 999999455 4744272 999999923 218736458 999999955 218642602 999005201 4960555 999007434 4959210 999999971 618261727 999999983 618011445 999999946 765179631 999999975 765076068 993370244 700616551 993372265 700615065 999999730 6715939 999999894 6697627 984083040 548564959 984084488 548562885 999994156 223803540 999994326 223785875 999994156 222804879 999994326 222787214 999999710 4073827 999999947 4061156 998999765 91966188 999001294 91964224 999999995 719680360 999999996 716677440 999986294 134190727 999987425 134188072 999991537 18941401 999995338 18940611 978116900 715900555 978118040 715897921 998826134 196271682 998827844 196269926 999999946 773799709 999999975 773696166 999999955 205591733 999999976 205448747 999992400 19011988 999995338 19010966 999999946 763793171 999999975 763689634 999999144 9585981 999999638 9579903 999999923 229545623 999999955 229451795 999999476 617942392 999999484 617567083 992095461 719743645 992096661 719741143 978110181 715961494 978111342 715958908 999999931 618325877 999999944 618094928 999999435 721116334 999999752 721106863 984095528 548708430 984097173 548706605 984091142 548703748 984092763 548701896 984015932 548449003 984017784 548447382 998868426 196258706 998870194 196257008 999981420 10941696 999982629 10939213 984086840 548858496 984089036 548857129 999999329 726497327 999999435 726469007 999993748 16381808 999995338 16379920 999995526 11025468 999997133 11023600 984066505 548459338 984068125 548457485 999999710 4051481 999999947 4038815 998871216 2783 998872295 1 999999605 30650664 999999855 30638657 984086101 554474107 984087307 554471618 999165951 4803834 999167858 4802260 978107697 715998533 978108755 715995696 999998060 63295382 999999365 63293082 999998060 60317061 999999365 60314761 999999638 7331302 999999843 7316661 999999314 26276139 999999605 26265825 999999710 4012334 999999947 3999670 999064892 91966663 999065907 91963706 978097299 716039909 978099076 716038220 999999884 646329758 999999925 646256555 999994314 24798031 999995515 24795532 992052064 719739731 992054516 719738507 999990808 15506716 999991419 15501804 999999598 15607128 999999829 15594136 999999605 10888064 999999836 10875072 978105060 715920258 978107172 715918837 999999329 724564927 999999435 724536615 999997287 4653829 999999042 4652119 984068732 548708320 984070309 548706417 977352187 715067773 977353715 715065809 999991419 19119355 999991537 19093923 999983453 80971323 999984806 80969105 999999045 196097625 999999639 196092573 999999919 207942038 999999923 207191837 999982712 80973905 999985132 80972665 999974779 80964218 999976700 80962656 984081705 548722770 984083749 548721302 999994424 78123590 999995689 78121218 998851645 196280691 998857540 196280182 999999329 733954424 999999435 733926117 999999605 30268819 999999855 30256817 999997287 5043697 999999286 5042196 983752968 548537965 983754648 548536179 999993285 20056617 999995109 20054972 999153935 4959956 999155786 4958335 999999789 715918053 999999932 715897071 999994269 9092039 999995826 9090112 993337476 700625148 993338833 700622937 999999884 656361397 999999925 656288219 999990179 80946819 999992319 80945417 978109371 715987712 978111569 715986347 983638467 548917941 983640419 548916404 999999948 190113476 999999959 189840731 999999435 771625920 999999752 771616456 999994314 24750900 999996585 24749579 999999410 228793691 999999909 228787679 999993032 625207884 999994877 625206258 999999975 913003851 999999982 912575301 977990546 715746975 977992279 715745244 999994156 225140078 999994326 225122432 999999995 768038799 999999996 765039010 999999969 679372189 999999993 679247198 999996753 30151722 999998495 30150000 999999882 38135159 999999997 38109075 999999144 9712988 999999638 9706916 999999730 6473978 999999894 6455688 999981420 10237087 999982629 10234606 999999925 654561099 999999979 654505553 999999435 775590953 999999752 775581491 999998169 91354698 999999746 91352796 999974468 78068444 999976698 78067099 977309225 715078630 977310895 715076834 999999598 19088479 999999829 19075495 999999730 6853242 999999894 6834954 999996307 651464677 999997674 651462483 998742377 196296716 998744571 196295349 999984696 30783413 999986493 30781744 984069677 548838948 984071622 548837406 999999969 674085304 999999993 673960342 999998292 623440535 999999476 623438002 999999314 25751340 999999605 25741034 999991758 20195784 999994081 20194493 984099516 548500308 984101526 548498816 993340834 700595336 993344313 700594474 999990808 23680456 999991419 23675548 999999843 7735747 999999936 7703502 999984438 135238196 999987212 135237115 999999884 655278849 999999925 655205711 978027882 715844087 978029502 715842236 984101848 548729590 984102826 548726524 984098450 548530275 984099907 548528217 999997287 4309343 999999286 4307843 984087809 548575993 984089428 548574141 999994314 24636684 999995766 24634619 999999969 709980076 999999993 709855145 979493748 713838671 979495124 713836492 999984128 133213897 999985399 133211538 999999899 19712090 999999943 19643948 999984901 81521423 999986041 81518793 984045358 554482624 984046516 554480035 999979116 135257278 999981112 135255776 999150167 81563779 999151856 81562004 999998169 195271043 999999746 195269142 999996307 657111799 999997674 657109606 999996307 651115475 999997674 651113282 993355246 700611260 993356009 700607331 999977146 80964812 999977418 80953791 999999923 216568075 999999955 216474398 983647555 548937130 983650074 548935940 999999843 8826499 999999936 8794267 999991419 18402857 999991537 18377454 984066570 548573597 984068633 548572144 984085376 548856507 984088479 548855541 999999410 230274319 999999909 230268312 999994156 226757043 999994326 226739411 998996152 4968510 998997552 4966369 993368013 700687307 993369099 700684547 999999930 791680741 999999951 791538013 999994156 226337228 999994326 226319597 999999542 28825079 999999837 28814919 999996245 24646022 999999367 24645062 999999948 109779918 999999959 109507453 999981420 10849020 999982629 10846541 999981420 9640304 999982629 9637825 998890410 91966025 998891673 91963652 999999144 7856347 999999638 7850280 999999286 5989035 999999455 5971301 979496010 713844328 979497774 713842629 999999969 680980058 999999993 680855182 999996349 81168360 999998028 81166575 999139765 81560145 999141463 81558380 999146452 81585295 999147869 81583180 999990808 16151382 999991419 16146477 999999822 13713145 999999980 13694177 983768134 548536043 983770336 548534682 999996137 11118275 999997666 11116315 998999642 4954515 999001745 4953090 999999829 17851789 999999899 17808979 993367061 700618671 993368849 700616995 999999882 34609759 999999997 34583701 999999837 29631156 999999983 29610631 999999993 121405357 999999994 118408713 999975440 135252005 999977986 135250828 999997129 196055043 999999045 196053479 999973668 81533329 999974934 81530962 999999789 713250265 999999932 713229310 993130862 710114048 993132749 710112460 999997749 24987734 999999367 24985882 999997287 5146250 999999286 5144751 999999982 159586412 999999988 159086996 999117056 81562927 999118872 81561277 999999993 846635223 999999996 845636426 999998060 63335782 999999365 63333486 998865622 196258124 998868000 196256864 999121277 81571209 999122993 81569463 984085924 548728102 984087640 548726356 999999144 10298760 999999638 10292695 984098697 554476194 984100525 554474555 999999607 5149687 999999730 5125329 999014509 4960555 999015617 4957851 999999435 776023298 999999752 776013847 999999882 34844567 999999997 34818516 999999286 5764502 999999455 5746775 999999607 5988006 999999730 5963650 999990808 24591081 999991419 24586178 999990808 16365610 999991419 16360707 999977257 135232161 999978604 135229937 977984401 715743365 977985379 715740302 999999972 24268447 999999977 23669326 999999992 67113103 999999993 64117499 978579954 715820957 978581873 715819396 999999982 172331634 999999988 171832375 999999930 796399095 999999951 796256452 999996380 24680155 999998141 24678454 999999948 186580574 999999959 186308262 999991419 15544972 999991537 15519587 998743156 196261239 998744446 196258917 999117717 81577117 999119361 81575295 993360075 700599637 993361719 700597815 993361753 700611263 993363891 700609862 999999988 120548468 999999989 117553169 984100488 548514791 984101957 548512752 983651496 548929911 983652844 548927689 978104030 716014512 978105683 716012700 998821784 196252353 998823928 196250956 977361979 715065933 977363858 715064339 999984378 135188275 999985607 135185838 999999435 735258742 999999752 735249294 999998060 60241158 999999365 60238863 998848682 196272372 998850857 196270995 999999314 25310551 999999605 25300259 999993532 625092976 999995375 625091351 999998169 91586826 999999746 91584927 999998169 91115127 999999746 91113228 978114451 716049504 978116083 716047669 999981420 9986101 999982629 9983624 984090418 548722476 984092091 548720686 999128781 81575882 999130641 81574272 999986184 134187937 999987425 134185524 999973668 81535380 999975128 81533329 984060162 548455729 984061878 548453984 992126539 719846266 992128073 719844314 999999975 984834912 999999982 984407146 998868334 196266944 998869656 196264679 999981466 30800504 999983214 30798791 993227168 700623957 993228945 700622272 999999974 794378631 999999975 791384395 999999975 870554349 999999982 870126605 978108226 715990529 978109978 715988820 998874041 196263980 998875819 196262296 999999789 718138335 999999932 718117397 992087897 719742364 992089792 719740784 999981437 78113571 999983344 78112001 983979734 554666886 983981416 554665106 977327810 715077473 977329143 715075227 984100682 548954003 984102146 548951958 999999884 642457326 999999925 642384307 978109758 716008949 978112398 716007815 999999598 20772495 999999829 20759535 998872064 196257901 998874332 196256581 999992362 16249120 999994286 16247564 999998060 63288241 999999365 63285947 999998060 56453873 999999365 56451579 999998060 56108244 999999365 56105950 984087067 548579388 984088328 548577014 993368208 700636281 993369814 700634417 978495181 716064818 978505759 716064535 999981420 11017698 999982629 11015222 998897521 91966663 998898842 91964397 983970200 554639249 983971346 554636637 999999121 26117811 999999149 26010906 999139571 81566180 999141443 81564581 999993064 19010318 999994984 19008759 999998169 90784760 999999746 90782862 999998169 90643800 999999746 90641902 999999435 774521939 999999752 774512497 983655983 548926159 983657869 548924572 999108991 91964892 999110608 91963041 999999909 223125882 999999919 222826580 999184305 4827173 999186031 4825439 999999598 15713217 999999829 15700261 999013765 4971371 999015632 4969768 999146029 4965636 999147903 4964039 999999923 220959122 999999955 220865598 978092014 716039005 978094126 716037588 978017391 715832890 978019521 715831485 977961740 715742686 977963104 715740492 999182978 4841478 999185569 4840323 993357652 700603100 993359674 700601620 999997287 5148132 999999286 5146635 999997287 4652068 999999286 4650571 984067205 548961057 984069286 548959619 999998060 63124176 999999365 63121883 992075009 719751212 992076463 719749154 984068815 548460036 984069988 548457485 999994426 30220700 999998102 30219886 978685260 715783124 978687056 715781458 999999923 206493715 999999955 206400211 978578910 715820957 978579954 715818091 993371228 700639681 993373025 700638016 999998292 624868718 999999476 624866191 999999329 728257760 999999435 728229534 999118808 81580204 999120461 81578394 999999969 678768588 999999993 678643928 999999923 214551769 999999955 214458278 999985132 80983601 999986188 80980768 999999957 30683077 999999977 30533496 999999435 721019945 999999752 721010508 999999997 51523895 1000000000 50526726 999985366 80999851 999987363 80998353 998850577 196276266 998851645 196273465 999991537 18956345 999995338 18955558 983646199 548943893 983647479 548941556 978577993 715820163 978578910 715816901 978117867 715979468 978119718 715977852 999141794 81577467 999143667 81575870 993327634 700598578 993330705 700597604 999973184 133235372 999974729 133233436 999981420 9689382 999982629 9686908 999999410 227797708 999999909 227791714 999996307 656581725 999997674 656579537 999165848 4801865 999167339 4799859 999999455 4892573 999999607 4872896 999999925 643324247 999999979 643268860 999123234 81585420 999124306 81582630 999999789 718216340 999999932 718195425 999990808 23694438 999991419 23689543 999998292 624684782 999999476 624682256 999999899 21289738 999999943 21221766 999988042 30770641 999990259 30769292 999991419 19077130 999991537 19051785 999999841 648519258 999999884 648449707 992106305 719750869 992108247 719749329 999999144 10095890 999999638 10089836 984097082 548729590 984098496 548727475 998745847 196253848 998748151 196252550 999999992 732128498 999999993 729137961 983973682 554604110 983975461 554602429 993097744 710142042 993100073 710140758 993361111 700676782 993362738 700674944 999993718 624830950 999995498 624829270 978112694 715984289 978114919 715982945 999995661 10920727 999996860 10918233 993235806 700591733 993237506 700589974 977978378 715745699 977979425 715742843 998856139 196279722 998857091 196276581 999999923 197247772 999999955 197154332 999118092 81567175 999121314 81566247 984072747 548720275 984074603 548718664 978114718 716001523 978116343 715999683 999998169 195250879 999999746 195248983 999981420 10044010 999982629 10041537 999981420 9655300 999982629 9652827 999999930 807651382 999999951 807509009 999177965 4804927 999179384 4802820 993161520 710126038 993163006 710124026 999998060 63076692 999999365 63074401 999998060 62991939 999999365 62989648 999999476 627979102 999999484 627605389 999164772 4829448 999168785 4828703 999995219 24902588 999997110 24901007 999999435 771286215 999999752 771276784 999990808 15428642 999991419 15423749 999999969 693094859 999999993 692970292 999999144 10742011 999999605 10735526 999999829 21632001 999999899 21589293 999999410 229092001 999999909 229086010 999993995 81161528 999995586 81159649 999999969 677969936 999999993 677845376 999999923 208577423 999999955 208484003 999991419 17902508 999991537 17877174 984083945 548584114 984086091 548582721 999121588 81573889 999123569 81572380 999999605 25801380 999999895 25791072 999994156 222992494 999994326 222974910 993235897 700620315 993236849 700617175 999999999 182874277 1000000000 179885051 999993282 18971494 999994938 18969689 999026158 4959243 999027654 4957245 993364816 700642716 993367256 700641491 984100525 554479233 984102826 554477934 999999981 733369385 999999982 730380405 993368724 700602552 993371160 700601325 999997129 196210927 999999045 196209367 999999542 28335807 999999837 28325675 998992404 4966868 998994573 4965490 984087422 548540117 984089781 548538850 983769438 548542553 983771394 548541025 978092015 716013662 978093909 716012084 999999997 125401993 999999998 122413278 999999993 102004918 999999994 99016206 984069041 548699623 984070860 548697980 999999969 670098370 999999993 669973847 999998169 90894811 999999746 90892916 984095313 548540807 984096840 548538850 999999710 3644139 999999947 3631530 999985478 78109968 999987154 78108185 999993032 624765356 999994105 624762571 999979225 78105377 999980887 78103579 999996307 650829268 999997674 650827082 999999923 200681053 999999955 200587674 999999410 228029749 999999909 228023761 999995597 24692323 999998184 24691168 998740959 196283717 998742147 196281202 999982638 78105377 999984480 78103755 998826134 196273026 998828357 196271682 999999923 223916773 999999955 223823410 978110288 716021750 978111484 716019252 999999965 9877429 999999975 9578672 999999993 879900667 999999996 878904813 984090372 548454045 984092114 548452330 998999972 4943786 999001745 4942101 998998199 4943786 998999972 4942101 984098246 548516070 984100138 548514491 999999837 27971455 999999983 27950993 984091718 548511730 984094371 548510604 999999925 643188831 999999979 643133513 999991419 24243886 999991537 24218571 999984404 135207774 999985713 135205492 993348688 700607019 993349787 700604301 999999410 227548130 999999909 227542144 999999948 160611194 999999959 160339652 999999884 641799704 999999925 641726852 999999946 725476315 999999975 725373318 999996307 657558336 999997674 657556151 999996307 656905437 999997674 656903252 999994130 624941531 999996307 624940159 999999990 164125997 999999991 161139157 999998169 91434647 999999746 91432753 999993032 625124186 999996307 625123274 999993032 624863867 999996307 624862955 999987831 135257756 999989737 135256189 999999948 81331573 999999959 81060060 999999542 28373806 999999837 28363682 999999909 215306213 999999919 215007560 999992932 80980171 999995647 80979071 999999997 745948246 999999998 742961813 999992282 30753680 999993513 30751254 999999998 922440341 999999999 919453965 999996007 24842980 999998018 24841495 999999946 768169440 999999975 768066464 998746476 196311708 998749577 196310745 999999144 9799260 999999638 9793215 993241316 700621976 993243180 700620374 977958723 715794443 977960271 715792514 999997110 24901676 999999367 24900353 999995698 30097476 999998176 30096271 984089773 548729590 984090949 548727051 998946184 91966105 998947923 91964388 999999999 100497381 1000000000 97511524 999998060 60406960 999999365 60404672 999999975 915620579 999999982 915194041 999141209 4953532 999142147 4950349 999999944 622166403 999999971 622055826 999999996 953141929 999999997 950156409 984096239 548515098 984098236 548513603 984079873 548846343 984082133 548845022 999999822 15027807 999999980 15008912 998829343 196262018 998831047 196260266 999999717 12945276 999999822 12916844 999999988 18364627 999999989 15379284 999998169 91137202 999999746 91135309 999998169 90802342 999999746 90800449 999999993 144881435 999999994 141896178 999999955 202118130 999999976 201975975 998997271 4969974 998999310 4968510 999999946 771908115 999999975 771805181 999994156 224368209 999994326 224350650 999981420 10813164 999982629 10810695 999982550 30766092 999985319 30765014 978490812 716052685 978492593 716051009 999974003 135261067 999975799 135259405 999999329 724936298 999999435 724908139 993338970 700612178 993340567 700610309 999999936 7921827 999999965 7818905 999981389 135219085 999983544 135217700 977307981 715059392 977309951 715057877 984011738 548454723 984013537 548453064 999999329 723936228 999999435 723908072 999998060 63404811 999999365 63402524 999998060 56456566 999999365 56454279 993355192 700616096 993356732 700614158 999999994 206244262 999999995 203259776 999999983 619841030 999999987 619094913 978104030 716026363 978105478 716024302 999999955 216254888 999999976 216112778 999997287 4860971 999999023 4859252 999996307 650648455 999997674 650646272 999999946 769359951 999999975 769257050 999999946 758784292 999999975 758681391 999993906 625013259 999995562 625011457 993324228 700615523 993326785 700614356 999994956 133288682 999997828 133287643 992126996 719748151 992128584 719746272 999986221 78068888 999988309 78067459 999997285 10988039 999999144 10986434 999998169 91129521 999999746 91127629 999998292 624754174 999999476 624751654 999999971 636980786 999999983 636732152 999999410 228082262 999999909 228076283 984087640 548837539 984088892 548835156 999999985 22876839 999999986 19893338 999999855 30789454 999999933 30751208 999999329 777341711 999999435 777313568 999999882 35695354 999999997 35669414 999985383 135248095 999987212 135246464 992107234 719859166 992109405 719857792 979522697 713843197 979524703 713841710 999999956 16282138 999999970 16069073 984100258 548823524 984101814 548821607 978111380 715958953 978113936 715957786 999999899 22713912 999999943 22646120 999028889 91966663 999030914 91965190 999999144 8640047 999999638 8634009 999999598 16115834 999999829 16102922 999999144 10988474 999999605 10982004 999999923 217825655 999999955 217732447 999999435 721480318 999999752 721470909 999999710 2318727 999999947 2306142 999999607 4420978 999999730 4396729 999972768 135237728 999974260 135235729 999999925 644895128 999999979 644839897 999999930 785779688 999999951 785637666 999999974 788661286 999999975 785678869 993353776 700632773 993355228 700630719 998753517 196296014 998755048 196294066 998882247 2783 998883319 1 999999978 773493441 999999980 772002293 984086535 548710451 984088055 548708489 999999717 13896520 999999822 13868118 999104752 81571999 999106461 81570254 999999884 652848825 999999925 652776089 999999993 719207446 999999995 717716395 999976347 81154409 999979155 81153347 983752766 548551538 983754062 548549237 992127176 719876062 992129430 719874739 993228657 700604211 993229899 700601810 984094794 548592872 984096598 548591219 999999829 18937618 999999899 18895018 999998060 60492759 999999365 60490474 998835324 196280691 998837140 196279049 978583782 715742548 978585876 715741124 999999925 646659636 999999979 646604417 999997737 4396239 999999286 4394314 999989236 78111525 999990935 78109770 993356147 700642345 993357999 700640735 999999730 5501666 999999894 5483485 999990808 15561955 999991419 15557075 978114695 716062712 978115726 716059820 984091849 548718127 984093065 548715675 999997200 81139796 999998169 81136719 999999410 229488830 999999909 229482855 998745100 196283808 998746084 196280778 984067201 548585593 984069458 548584272 999995672 135194693 999998169 135193499 999981420 10266998 999982629 10264532 999999992 185332014 999999993 182350633 998836821 196279049 998837992 196276503 999993414 11046657 999996057 11045529 999994156 221325349 999994326 221307812 999999882 31980051 999999997 31954127 999980089 30800938 999981466 30798773 999999948 108998651 999999959 108727644 999977378 135262371 999978929 135260449 978577385 715754442 978578268 715751066 992125144 719871331 992127176 719869864 999999841 640760252 999999884 640690928 999997287 4304785 999999143 4303179 978114228 716022484 978115204 716019430 999999638 7741893 999999843 7727353 999999995 22354045 999999996 19373366 978099848 716030217 978101235 716028068 999998060 63988669 999999365 63986385 999999948 138086519 999999959 137815556 999998169 90689212 999999746 90687322 999999710 2744095 999999947 2731519 999979987 133258219 999981789 133256565 999999969 689638704 999999993 689514520 999993032 624801700 999994713 624799927 999999975 897250293 999999982 896824524 978010747 715812406 978012184 715810332 999999789 716177945 999999932 716157104 999999149 25185048 999999314 25166986 999994850 11021765 999996665 11020123 999999990 728766256 999999991 725786065 984100191 548448907 984102826 548447776 999997632 10968211 999999144 10966240 999998292 623838848 999999476 623836331 999996307 657944824 999997674 657942644 999996307 650944525 999997674 650942345 999996307 650306834 999997674 650304654 999999989 129898804 999999990 126918748 999995069 81159228 999996545 81157209 993237506 700592391 993238506 700589411 999971889 133228001 999973644 133226303 998735777 196288152 998737264 196286148 999999997 922948192 999999998 919968338 984080753 548851546 984081792 548848678 999995054 78089313 999996590 78087373 999999975 896422008 999999982 895996321 999999435 734984107 999999752 734974707 977319908 715066644 977322174 715065329 992132230 719855681 992134097 719854085 999998840 30773785 999999605 30769890 999999598 19523821 999999829 19510922 999999946 732368502 999999975 732265756 984011662 548460771 984013537 548459182 977975598 715744052 977977622 715742580 999998060 59961159 999999365 59958876 999999822 14482753 999999980 14463897 998995229 4954791 998996874 4952980 993360612 700615746 993362488 700614158 984006203 548463680 984007925 548461950 999173719 4799966 999176765 4798988 999999789 718895076 999999932 718874244 983646732 548909810 983648220 548907808 999998169 91503743 999999746 91501854 999988476 81146839 999990992 81145655 978683847 715740092 978685710 715738493 999987577 30809583 999989364 30807916 999999975 788031556 999999982 787605998 999993032 625314348 999994965 625312807 999999598 23769205 999999829 23756310 999996307 651259146 999997674 651256967 999996307 650346709 999997674 650344530 993353589 700640123 993355336 700638418 983976325 554633458 983978149 554631825 984093486 554480085 984094927 554478018 999999948 71396943 999999959 71126166 999997287 4591787 999999286 4590297 992087791 719745493 992089339 719743569 998990911 4973919 998994681 4973129 999997485 29986909 999998840 29984711 984081604 548460039 984085575 548459289 998992460 91966663 998994363 91965098 977310537 715062266 977312581 715060809 999999998 875204588 999999999 872226499 999999598 16607174 999999829 16594282 999115362 81567487 999117056 81565729 999998060 63565430 999999365 63563148 983976141 554635037 983978027 554633458 999999975 804362001 999999982 803936584 999999948 11618572 999999978 11519309 999996635 24954898 999999367 24953808 998833085 196275231 998834945 196273630 999999923 224558138 999999955 224465081 999998292 623535124 999999476 623532609 983765439 548521337 983767109 548519554 999999598 22435238 999999829 22422348 983640925 548931434 983642294 548929259 999994156 222173061 999994326 222155546 993359006 700633597 993363887 700632987 978021565 715819059 978023250 715817292 999998169 91221549 999999746 91219661 999995495 81175710 999997223 81173987 993360947 700618331 993362665 700616598 999999542 29330164 999999837 29320072 999994678 624912992 999996211 624911050 993228043 700594626 993229375 700592391 984084972 548579128 984087067 548577707 999994516 30070042 999995950 30067966 999993032 625393737 999996307 625392828 999993990 10955111 999995867 10953525 999993364 20167678 999995338 20166170 999999923 201221627 999999955 201128603 998874541 196270951 998876484 196269419 999999435 775575927 999999752 775566537 999999435 774681918 999999752 774672528 999999435 733035250 999999752 733025860 999992585 20133041 999994037 20130991 999998292 623659278 999999476 623656764 999999989 725324853 999999990 722348318 999997287 4715215 999999286 4713726 999999837 29251931 999999983 29231544 999992958 16323832 999994941 16322331 999999329 731864634 999999435 731836554 999993690 20061960 999995338 20060154 998910058 91966495 998912323 91965181 993230384 700591889 993232333 700590362 993123397 710112255 993124461 710109458 984094684 548585593 984096869 548584231 999996307 657757642 999997674 657755465 999999925 645430764 999999979 645375654 999998609 24917549 999999367 24913623 999998169 195683857 999999746 195681970 983746009 548544668 983747870 548543069 999999986 735775256 999999988 734287397 983835255 548492500 983836143 548489149 999999829 24342009 999999899 24299500 999999884 644583406 999999925 644510831 999999598 20478333 999999829 20465452 992121973 719887538 992123784 719885895 999999944 635523326 999999971 635413125 999998060 63170950 999999365 63168670 977365041 715061780 977366706 715059993 978103895 715922289 978105771 715920703 999999710 3790996 999999947 3778442 999999710 1130430 999999947 1117876 999971889 133225923 999973316 133223838 999124311 81563480 999130471 81562997 999991537 20125099 999993474 20123563 999175506 4812771 999177251 4811066 999994156 221775618 999994326 221758117 999997287 4456116 999998852 4454215 999999410 231167541 999999909 231161579 999999410 230533178 999999909 230527216 999991419 24549161 999991537 24523949 999990808 24211901 999991419 24207032 999990808 24134173 999991419 24129304 999991419 23965551 999991537 23940340 999982419 81521355 999983926 81519381 999999542 29652069 999999837 29641985 999999995 230198201 999999996 227223509 999994033 29974998 999995898 29973403 999994156 222425378 999994326 222407880 999999948 131231644 999999959 130961221 999999948 68040938 999999959 67770517 999996307 650282085 999997674 650279909 999999410 229246649 999999909 229240688 999999946 777615274 999999975 777512709 999999144 7299920 999999638 7293899 999981420 10825754 999982629 10823294 999971889 81542652 999974746 81541611 999999435 732423206 999999752 732413824 999999730 4823352 999999894 4805218 999995857 30051049 999997196 30048828 978012861 715819680 978015726 715818642 999134097 81563455 999135287 81560956 999997185 30182548 999998591 30180433 999994156 224978260 999994326 224960768 999993069 20316723 999994777 20314982 999995609 11089259 999997379 11087579 992107032 719854735 992110172 719853788 999999822 12393324 999999980 12374504 999983281 133251267 999984386 133248576 999993414 10981550 999995092 10979778 984072680 548578662 984073811 548576033 999999605 26270316 999999895 26260063 984068521 548822293 984070222 548820545 999999946 754991311 999999975 754888782 999996307 657242376 999997674 657240201 992124627 719845751 992126539 719844196 999994156 225853598 999994326 225836109 999987910 133270282 999989186 133267952 992109325 719889368 992111196 719887779 999156197 4957560 999157120 4954339 999999598 19286648 999999829 19273778 999994593 625234258 999995958 625232080 984066214 548561977 984068029 548560339 999999996 821985407 999999997 819012496 999999144 9565791 999999638 9559773 998752237 196301645 998753420 196299132 999999435 776916986 999999752 776907608 992128837 719846046 992130869 719844583 983832037 548545112 983834402 548543855 978106869 715939429 978108310 715937366 998884681 91964291 998886553 91962703 999977353 30775006 999978420 30772220 999999925 640608957 999999979 640553908 999998169 195981267 999999746 195979382 999998169 90738830 999999746 90736945 999991455 133295546 999996850 133294995 999999410 228338342 999999909 228332385 999999598 16399879 999999829 16387011 999999946 729370947 999999975 729268447 999999605 25265552 999999895 25255302 999999710 3314078 999999947 3301536 983748519 548515604 983749880 548513420 999999829 16081368 999999899 16038906 999999975 999398578 999999982 998973962 983971346 554640031 983974667 554639136 993094124 710111880 993095249 710109238 993146769 710111633 993148010 710109238 999991419 22658036 999991537 22632848 983768939 548529038 983770658 548527309 999999598 17605601 999999829 17592735 999999923 218557334 999999955 218464458 984084480 548712338 984086055 548710451 993324228 700590912 993326208 700589411 999999144 8371575 999999638 8365559 999999144 7950886 999999638 7944870 993359055 700649032 993361423 700647777 999981420 11010748 999982629 11008290 999997129 196029623 999999045 196028072 999991419 20180476 999991537 20155292 999999994 744301697 999999995 741330096 999104721 91966663 999106128 91964551 999999476 638382963 999999484 638011520 999999996 211512752 999999997 208541261 999998060 63955806 999999365 63953529 999998060 60122234 999999365 60119957 999998060 60110523 999999365 60108246 999994956 133287643 999996652 133285891 978108298 715956218 978110181 715954640 984088256 548450303 984089834 548448420 999999955 211161308 999999976 211019816 978110040 715974908 978112897 715973868 977959231 715755402 977961143 715753848 984043494 554481629 984045358 554480035 978585431 715740961 978587044 715739119 992109630 719866442 992111783 719865062 999993032 624871605 999995965 624870592 978106087 715878410 978106741 715873867 999998169 195680778 999999746 195678894 999999975 799985845 999999982 799561422 999991441 26684768 999993583 26683381 999999435 773519647 999999752 773510275 999979094 80991333 999980656 80989431 999999948 120640760 999999959 120370679 999991419 20041378 999991537 20016201 999999638 8876419 999999843 8861927 999997522 30194381 999998840 30192127 999975309 133240246 999977266 133238728 999998292 623566734 999999476 623564225 984074205 548830044 984076171 548828533 999999836 10500465 999999981 10479978 999999435 774092626 999999752 774083255 998820962 196255965 998823791 196254915 984067553 548570850 984069445 548569280 999993982 9045806 999995957 9044302 999999909 228888257 999999919 228591218 999999329 729108713 999999435 729080691 999999435 771200066 999999752 771190696 978020211 715812805 978023245 715811826 984086191 548544956 984087602 548542851 999999925 654395723 999999979 654340721 983751810 548519099 983753664 548517497 999994692 625098210 999996307 625096371 999999993 228401080 999999994 225431105 999999435 774610699 999999752 774601330 999990338 80989461 999992264 80987919 993347270 700627901 993348691 700625811 999999730 5130987 999999894 5112879 984096018 548529501 984097612 548527638 999999993 747985615 999999994 745016043 999160670 4972863 999162655 4971367 999999971 621503867 999999983 621256405 999056487 91966663 999058093 91964814 999118808 81586667 999122100 81585765 993166259 710115163 993168297 710113706 999999435 774966978 999999752 774957611 999993649 20255075 999995338 20253317 984073237 548855922 984075015 548854252 999999975 725158288 999999978 724168542 999994156 222312159 999994326 222294694 992109285 719872475 992110953 719870695 999999435 772042019 999999752 772032653 999999435 735367768 999999752 735358402 977986022 715749189 977987363 715746975 999999144 9227111 999999638 9221101 999999930 792597780 999999951 792456402 984074004 554483195 984076010 554481715 998845856 196268854 998847538 196267089 999141794 81582133 999143667 81580548 984083299 548833513 984083642 548824858 999985497 81139328 999986663 81136782 978092228 716049504 978093759 716047565 999997287 4921153 999999286 4919668 999997287 4548670 999999286 4547185 984094279 548590163 984095148 548586747 999993513 30223796 999995342 30222173 983972353 554656110 983974328 554654607 998993317 4971390 998995103 4969728 999999944 626084696 999999971 625974758 999999882 35787387 999999997 35761576 999999986 19290107 999999987 16321873 978495181 716059364 978496515 716057139 999999598 20102481 999999829 20089632 993226166 700597962 993228129 700596450 984056845 548459704 984058771 548458163 999999144 7929540 999999638 7923532 999998169 90804607 999999746 90802725 998842340 196255094 998844092 196253400 992142206 719869449 992144178 719867944 999999955 218384794 999999976 218243468 999999925 656089870 999999979 656034910 999993570 135251251 999995446 135249669 999991419 16340137 999991537 16314987 984086581 548507466 984089631 548506493 999998060 62784251 999999365 62781977 999994783 30083328 999996375 30081464 999999710 3294985 999999947 3282464 999999923 227367593 999999955 227274860 999993974 134205170 999995090 134202511 978111380 715961287 978113035 715959494 999993414 9041012 999994666 9038642 984037717 548456120 984040070 548454859 999987022 26679481 999988441 26677390 999999435 734696249 999999752 734686889 978683847 715763911 978684860 715760982 999134711 81584079 999136872 81582706 999981543 78120149 999983063 78118197 992120828 719843264 992122493 719841482 999138931 81562396 999140540 81560552 999993032 625403742 999994758 625402023 978014088 715847174 978015021 715843994 978016127 715856452 978018491 715855197 999005531 4968371 999007587 4966928 999981526 81510781 999983345 81509150 999999730 6205450 999999894 6187360 999972573 81170534 999974583 81169058 999999455 6592862 999999607 6573344 984088843 548497175 984091224 548495929 984096749 554483456 984098399 554481658 978025532 715860596 978028025 715859406 993355446 700627599 993357522 700626170 999999410 231130441 999999909 231124496 983651413 548961057 983654029 548959923 999148043 81560324 999149569 81558380 999997287 4877760 999999286 4876276 999984128 133217580 999985399 133215246 978104030 716012700 978105860 716011079 999990808 15790384 999991419 15785529 999996307 657702194 999997674 657700024 999996307 650841647 999997674 650839477 999999946 738054355 999999975 737952067 999998169 195579351 999999746 195577470 999998060 56631264 999999365 56628991 999999899 15739772 999999943 15672357 998829066 196253013 998830508 196250956 999999314 25514968 999999605 25504775 999999948 94905767 999999959 94636122 999999435 771507211 999999752 771497855 999999991 148579708 999999992 145613875 993129632 710122658 993132280 710121538 999995410 81151416 999996545 81148803 999994260 81516859 999996038 81515191 999999884 656143632 999999925 656071299 999999542 28123744 999999837 28113691 992126689 719744877 992128468 719743210 999999435 771651130 999999752 771641775 993358861 700683479 993359504 700678867 983750302 548494001 983752497 548492650 978095237 716060324 978096216 716057295 999999598 22886005 999999829 22873168 999999923 204903117 999999955 204810450 999999542 27606684 999999837 27596632 978117437 715871654 978119718 715870354 999983528 30751271 999985249 30749548 999999969 709271624 999999993 709148071 999999944 622821340 999999971 622711516 984064512 548456664 984066242 548454950 984083055 548567175 984084790 548565466 993123646 710132184 993124708 710129392 999996304 24866176 999998040 24864468 999996307 651053758 999997674 651051589 999996307 650887674 999997674 650885505 999996307 650165758 999997674 650163589 999999717 12477878 999999822 12449640 999999341 7117857 999999588 7105853 999992424 78110757 999995428 78109770 999999925 647277459 999999979 647222553 999997515 30014586 999998312 30010866 999999884 652735899 999999925 652663587 999991537 20051770 999995338 20050990 999989826 81518379 999991393 81516487 999998292 623955534 999999476 623953030 999990518 81144247 999992131 81142409 999978456 30790579 999980294 30788966 984072987 548724151 984075012 548722687 999999410 229106767 999999909 229100826 978480593 716051726 978483015 716050502 999997287 4551707 999999286 4550224 999981420 10921496 999982629 10919044 999981420 10656070 999982629 10653618 983970200 554667401 983971765 554665507 999999946 748913182 999999975 748810978 999999144 10832850 999999605 10826421 983765827 548547435 983766701 548544044 978101114 716031655 978103175 716030217 999996307 650501326 999997674 650499158 999998060 63265288 999999365 63263017 999999435 777715014 999999752 777705665 977316754 715072801 977319775 715071820 984086191 548521110 984088103 548519560 999998292 624657657 999999476 624655154 984086865 548452021 984088590 548450303 999118824 81565083 999120542 81563358 999999969 707948264 999999993 707824783 999997126 30146050 999998840 30144321 999999946 733650073 999999975 733547884 999999923 217555215 999999955 217462607 999994156 221949431 999994326 221931999 999990808 16483736 999991419 16478886 999006488 4962730 999008435 4961208 999999435 774355664 999999752 774346316 999973653 81153404 999975391 81151699 999999605 26367426 999999895 26357208 999999925 654615973 999999979 654561099 993364017 700625148 993365655 700623339 999994156 231121789 999994326 231104359 999985223 81168893 999987096 81167311 999973984 133278632 999974959 133275593 999999946 755428745 999999975 755326572 999999144 7379919 999999638 7373921 999999975 992772875 999999982 992349591 984066214 548957816 984066688 548951565 999999909 221340023 999999919 221043735 999999930 783518392 999999951 783377308 999994156 221925157 999994326 221907729 999999988 124766695 999999989 121803948 999999329 725910082 999999435 725882132 998822077 196264413 998823662 196262544 999999946 777490021 999999975 777387876 999992906 20122683 999995338 20121465 999990808 24100731 999991419 24095883 999999975 974042209 999999982 973619054 984080275 554476955 984082453 554475595 999995111 11123675 999996981 11122091 983654657 548924572 983656637 548923076 999999975 751236460 999999978 750249103 998745599 196269188 998746879 196266874 983651869 548905864 983653026 548903304 999996280 30023305 999998840 30022148 999999899 15643080 999999943 15575764 999999925 651552209 999999979 651497360 992060959 719748793 992062679 719747071 999996331 10884171 999997715 10882031 998755307 196264505 998757185 196262928 999997384 196101172 999999045 196099389 999999829 19463799 999999899 19421492 999994251 135224847 999995428 135222331 999999946 753695286 999999975 753593173 999999542 28572369 999999837 28562331 999989127 135217287 999992115 135216296 999994314 24668516 999995811 24666538 999972256 135239078 999974759 135237895 999998060 56190405 999999365 56188136 999048582 91966125 999050688 91964719 999996307 656663684 999997674 656661518 999999605 25653753 999999895 25643543 999999884 653167695 999999925 653095479 999999329 731091458 999999435 731063526 999999993 116621173 999999994 113660462 984096191 548499464 984097471 548497151 999979725 134193352 999981587 134191762 999997287 4948244 999999286 4946763 999999930 809046375 999999951 808905400 984085845 548821717 984088371 548820545 999999435 777394689 999999752 777385350 999135287 81561801 999136754 81559783 999994156 221435402 999994326 221417988 999999884 651681715 999999925 651609511 999996847 24721652 999998920 24720224 999999789 719863123 999999932 719842422 992120041 719749268 992122656 719748136 993359919 700610703 993361599 700608941 999999435 734598963 999999752 734589625 999151271 4950745 999152520 4948375 998743493 196257428 998745100 196255586 999999946 764576096 999999975 764474024 999999993 804102741 999999996 803116055 999999936 9240409 999999965 9138342 999999993 945958033 999999996 944971394 999991419 21802923 999991537 21777839 993126822 710112848 993128526 710111111 999998060 63842176 999999365 63839908 999145786 4957769 999147406 4955942 999997287 4817557 999999028 4815857 999999923 216710890 999999955 216618401 999981420 10424092 999982629 10421644 999996307 651606102 999997674 651603937 999999899 18137594 999999943 18070334 999999710 3129448 999999947 3116961 999133117 91964230 999135055 91962703 999999829 17454591 999999899 17412315 999993265 134194902 999995490 134193572 999157379 81563316 999159130 81561626 999999956 19960829 999999970 19749462 999999789 716735787 999999932 716715094 999973918 133259049 999975810 133257485 999999948 165585616 999999959 165316610 999999955 211617436 999999976 211476532 999013425 4976196 999015323 4974637 993134629 710110121 993137980 710109238 999016348 4950421 999018376 4948962 999991419 23054797 999991537 23029722 999994038 18904418 999995338 18902142 999999899 19034756 999999943 18967513 999999329 723280498 999999435 723252586 999994936 625364863 999996307 625362705 999999410 228131313 999999909 228125384 999999435 776674179 999999752 776664846 999999995 227223509 999999996 224264992 999998169 195906038 999999746 195904162 999998169 195377400 999999746 195375524 977325538 715080231 977327168 715078416 999998060 62838035 999999365 62835768 999991039 135202873 999992754 135201148 999999542 27049686 999999837 27039658 999999993 137028781 999999994 134070585 999996307 657906072 999997674 657903908 999996307 657348245 999997674 657346081 999153434 91964441 999155136 91962703 983978149 554636637 983979851 554634899 999982824 78099238 999984590 78097563 999999314 26547606 999999605 26537441 998738234 196281202 998739581 196279006 999999991 86865976 999999992 83907990 999999925 651192125 999999979 651137349 999999955 224972510 999999976 224831660 977319443 715071820 977321279 715070209 999999638 10201697 999999843 10187269 999999925 643487790 999999979 643433018 998738000 196306404 998739747 196304711 999999923 219539349 999999955 219446922 999998292 623673015 999999476 623670517 999999144 10113742 999999638 10107755 978103234 716031579 978106673 716030719 999999837 29610631 999999983 29590374 992124117 719877245 992126617 719876062 999994945 11104518 999998125 11103588 999999789 715758689 999999932 715738008 999999993 854953053 999999996 853967287 999999435 721498693 999999752 721489364 999991537 16343393 999993440 16341839 999999841 652199501 999999884 652130728 999981420 11050359 999982629 11047913 999999144 9469753 999999638 9463767 984074543 548589373 984075563 548586474 983971458 554670360 983974007 554669200 999999969 707754890 999999993 707631691 999999923 221455986 999999955 221363588 999998840 30023793 999999605 30019928 999997601 24975376 999999044 24973327 999999435 733634309 999999752 733624982 999999717 15031743 999999822 15003585 978018422 715861800 978020816 715860565 999999923 212986261 999999955 212893868 999975859 135255171 999977986 135253781 983976007 554669020 983978642 554667898 999991517 133270311 999993281 133268635 983649598 548900232 983651029 548898166 999999435 720407359 999999752 720398033 999156197 4951524 999159992 4950745 978584109 715740334 978585413 715738067 999999710 2959812 999999947 2947339 999999329 723327287 999999435 723299400 978685044 715743824 978686613 715741940 978094570 716042299 978096931 716041047 999998840 30736047 999999605 30732183 992130129 719853326 992131142 719850408 978106598 715976890 978108417 715975265 999998060 60168244 999999365 60165979 999998060 59916097 999999365 59913832 977316388 715078438 977317896 715076478 992134082 719869449 992135655 719867570 992138177 719747533 992139669 719745552 999999455 6482491 999999607 6463046 999999144 9018123 999999638 9012140 984002966 548454388 984004633 548452615 999982710 133240596 999984396 133238843 999996932 30095081 999998840 30093532 999999923 227626745 999999955 227534387 992082740 719741121 992084355 719739291 999995485 29984189 999997274 29982537 999993880 30135519 999996220 30134256 999999841 645834931 999999884 645766203 999999605 10343804 999999836 10331011 999127334 81569463 999128641 81567202 999999435 734177140 999999752 734167818 984070318 554478519 984071828 554476562 999999946 735410997 999999975 735309101 999991537 20260871 999993734 20259526 983836094 548496373 983837772 548494612 999152789 81566043 999154324 81564118 999997555 5060415 999999286 5058708 999990207 30754171 999992282 30752747 993092492 710141695 993094197 710139962 999999435 777497880 999999752 777488559 999999999 773456804 1000000000 770502055 993354743 700599175 993355968 700596763 984066214 548852498 984067270 548849700 978684142 715797922 978686091 715796406 999999410 227529926 999999909 227524005 999997287 4802752 999999286 4801274 999999946 721339744 999999975 721237864 999999969 672531762 999999993 672408657 999998060 63358239 999999365 63355975 999017102 4965074 999018370 4962744 999995364 625029064 999996307 625025931 999999822 14382328 999999980 14363630 999999455 6825055 999999607 6805619 999996307 650909571 999997674 650907410 999998292 624156002 999999476 624153507 984037784 548462327 984039555 548460659 999993907 624915018 999995365 624912992 992109907 719743809 992112087 719742454 999999367 24801685 999999638 24790785 984066214 548847214 984067728 548845263 999999978 775469151 999999980 773992248 999999435 735514186 999999752 735504868 999993032 625308523 999994614 625306656 999992187 20135105 999993618 20133041 999999542 27759131 999999837 27749119 999995780 10878765 999997732 10877252 999999975 882368203 999999982 881946297 999999994 138698247 999999995 135744924 999999884 646553992 999999925 646481961 978025390 715851759 978027399 715850289 999999829 20204812 999999899 20162623 999998060 60331415 999999365 60329152 999998060 56678477 999999365 56676214 999999975 976421647 999999982 975999770 984100325 548831524 984102087 548829848 978029766 715845376 978030397 715840696 978108083 716007691 978109758 716005928 999999996 767185728 999999997 764232765 992118906 719740406 992120461 719738507 999999730 4399988 999999894 4381983 998829066 196254834 998832145 196253875 999999946 735266778 999999975 735164959 999999930 779667455 999999951 779526852 999999598 20241409 999999829 20228627 999999144 9811915 999999638 9805938 992121839 719748136 992123245 719746036 984091090 548566768 984094476 548565896 999999996 940634569 999999997 937682024 999108445 81571999 999110137 81570254 999997287 4438708 999999286 4437231 999994685 11023600 999996294 11021765 999990808 24251817 999991419 24246985 999999710 1173094 999999947 1160637 999999982 129383975 999999988 128891934 992142300 719849928 992144178 719848356 999999598 21236728 999999829 21223948 999999144 7811250 999999638 7805274 999990454 30774966 999992306 30773372 999983736 81182754 999985048 81180504 999987531 78112305 999988904 78110155 999999999 196019636 1000000000 193067696 999999946 751553375 999999975 751451584 999998060 59834606 999999365 59832344 999999991 114357745 999999992 111405847 999994156 226868548 999994326 226851184 999999829 17098903 999999899 17056735 999998292 624879939 999999476 624877446 999999997 774769213 999999998 771817520 983755589 548519099 983757085 548517126 999999710 2599250 999999947 2586796 999181211 4804501 999182809 4802654 999999948 145359306 999999959 145090989 979503779 713839346 979506368 713838206 993352854 700615677 993354797 700614158 999999607 4785725 999999730 4761731 984084315 548589430 984086386 548588005 999999969 664332967 999999993 664210003 999990808 23952133 999991419 23947303 999990808 15999564 999991419 15994734 999999988 731850797 999999989 728899688 999999998 646585752 999999999 643634710 999999314 26592552 999999605 26582411 999999930 789907217 999999951 789766692 999995980 24859002 999997394 24856915 999999990 21428972 999999991 18477964 998867639 2783 998868957 544 999999979 644676256 999999997 644512316 999994102 9069630 999996319 9068299 999999598 23226080 999999829 23213306 999999882 31681428 999999997 31655770 999999410 228843525 999999909 228837612 999999841 645952582 999999884 645883965 999998292 623501313 999999476 623498821 999997035 10954550 999999144 10953151 999999975 939736813 999999982 939315320 999997200 24916915 999998609 24914821 983638898 548915109 983641264 548913862 999999605 11042116 999999836 11029344 999999841 646152377 999999884 646083765 999999542 27846259 999999837 27836258 999992950 20212014 999994867 20210475 999999329 726162677 999999435 726134845 999994271 625268645 999996307 625267196 999990664 78132369 999992846 78131017 999996307 650322829 999997674 650320671 999979999 133221489 999982025 133220033 984088402 548698314 984089848 548696274 984057873 554477705 984059533 554475928 977322371 715060095 977324096 715058385 999999925 650194584 999999979 650139960 999999598 18181566 999999829 18168797 999990385 80980378 999992932 80979220 999999975 849020278 999999982 848598938 999999923 230603964 999999955 230511796 999999946 771706504 999999975 771604802 999998292 623972985 999999476 623970494 993369324 700640837 993371228 700639288 999999884 642173092 999999925 642101159 999987894 133281944 999989564 133280178 999999598 21558857 999999829 21546090 999971889 81135391 999974202 81134116 999983121 135201770 999985717 135200634 999999925 646468374 999999979 646413762 999999978 12189805 999999989 11921710 984093832 548547961 984095484 548546176 999981420 9792707 999982629 9790268 999999598 22066312 999999829 22053547 999999948 106919818 999999959 106651763 978609848 715747913 978611395 715746007 999999822 13132751 999999980 13114090 999999435 733523611 999999752 733514310 978500193 716063463 978500856 716059016 999983002 80946972 999984898 80945417 999991806 20104202 999993927 20102812 983970200 554685283 983971173 554682253 999998292 624243497 999999476 624241007 998820748 196265658 998823116 196264413 983770140 548521417 983773910 548520635 992108702 719753802 992110313 719751972 999999993 70548936 999999994 67600829 999999435 720336764 999999752 720327464 999992761 16351070 999995338 16349926 999999989 95937260 999999990 92989184 999990808 23335553 999991419 23330728 999990808 15773915 999991419 15769090 993116797 710116701 993118797 710115227 999998060 63619020 999999365 63616761 978024134 715865840 978025328 715863371 978026070 715845376 978028357 715844087 978016127 715857699 978018491 715856452 999999717 12384607 999999822 12356533 999992296 16337195 999995338 16336226 999999607 5945553 999999730 5921588 999999789 715797768 999999932 715777155 999981420 10726815 999982629 10724377 978100282 716022216 978101925 716020422 999994707 11036611 999996315 11034778 978112040 715914191 978113732 715912449 978684938 715805080 978686057 715802446 999998169 196002791 999999746 196000922 984072360 548826626 984074028 548824859 998737537 196261999 998741415 196261239 999999930 786773172 999999951 786632826 999996307 650226684 999997674 650224528 983657267 548940773 983658554 548938483 978026887 715749189 978028453 715747307 999999997 43031580 1000000000 42049177 999999884 643592679 999999925 643520799 999153853 81586667 999155661 81585037 999125787 81569107 999127334 81567202 984025937 548465763 984027121 548463274 999994156 224518029 999994326 224500694 999999971 623635725 999999983 623390154 983656549 548937130 983657562 548934221 983762081 548493063 983765903 548492292 978577385 715762118 978578997 715760290 999998060 63175185 999999365 63172927 999998060 56300730 999999365 56298472 999999598 19577272 999999829 19564516 999971889 134197878 999973677 134196230 998745100 196292406 998747162 196290977 992108702 719751972 992110586 719750408 999109186 81584836 999111045 81583251 999992564 135228466 999995091 135227300 992132934 719883045 992134531 719881200 998836165 196268854 998837874 196267130 999999999 870654140 1000000000 867707930 999999944 634282967 999999971 634173849 999999925 654917678 999999979 654863121 999972554 81164603 999975626 81163644 999999925 645003750 999999979 644949195 999991537 20241032 999994128 20239895 999999329 732307328 999999435 732279536 999978794 133229372 999979625 133225827 999996307 656680521 999997674 656678366 999996307 651598650 999997674 651596495 999991961 18979791 999993569 18977959 999999329 729882697 999999435 729854907 999999144 8601745 999999638 8595782 999999923 227064150 999999955 226972098 999999948 172305122 999999959 172037336 999991419 19456438 999991537 19431475 978109988 715897921 978111677 715896177 999990042 64115340 999992658 64114214 999999435 733562410 999999752 733553118 999999435 731992161 999999752 731982869 999999841 655940121 999999884 655871621 999998060 56051678 999999365 56049421 999994562 9070718 999997325 9069652 999999144 10357590 999999605 10351201 999993513 30175824 999995348 30174219 999989270 80999255 999990652 80997124 977957847 715778403 977959397 715776503 999999329 727564850 999999435 727537068 999999925 655598259 999999979 655543724 999999909 203600099 999999919 203305624 999996865 30110379 999998840 30108888 999999435 775657381 999999752 775648092 999999410 227759556 999999909 227753655 999999909 202092513 999999919 201798057 999999598 17158103 999999829 17145356 999999991 202100316 999999992 199155779 999996307 658070665 999997674 658068511 999996307 657155958 999997674 657153804 999995261 625046257 999996307 625043442 999999329 722511358 999999435 722483580 999999997 128346383 999999998 125401993 999999435 721218309 999999752 721209021 999999925 643859548 999999979 643805025 999999455 4772970 999999607 4753600 993094071 710172436 993095099 710169572 999998060 63191298 999999365 63189042 999998060 60055796 999999365 60053540 999992169 78126792 999993950 78125139 999999329 720820758 999999435 720792985 984005707 548459218 984007123 548457139 978028731 715820529 978030397 715818762 978635570 715744392 978636122 715739059 999999476 620415038 999999484 620047062 999999144 8173406 999999638 8167447 999999975 10150297 999999978 9169062 999999944 625974758 999999971 625865738 999994301 78099339 999995477 78096836 999998292 623652276 999999476 623649790 999999789 713487310 999999932 713466727 999993523 16247111 999995203 16245359 999991624 80996252 999994367 80995179 992144178 719873215 992145657 719871225 993100550 710135632 993101871 710133404 999996307 657144942 999997674 657142789 978117339 716051644 978119113 716049985 978107187 715957289 978108298 715954640 999974959 133277677 999976676 133275963 999999605 25169993 999999895 25159845 999999993 881753049 999999996 880772081 999999909 203894388 999999919 203600099 999993146 624885745 999994491 624883557 978096333 716053881 978098036 716052153 993369286 700629039 993371014 700627336 999998060 60326268 999999365 60324013 984069936 548832975 984071306 548830827 999999923 202985597 999999955 202893636 978105899 716044976 978106779 716041632 999999435 735527773 999999752 735518490 999981420 9593338 999982629 9590904 992139669 719743722 992142107 719742515 992109325 719880990 992110532 719878552 999979371 78079569 999982462 78078617 983974804 554621555 983976068 554619227 999991537 20352372 999993232 20350636 999027988 4977101 999029075 4974394 999999829 18177612 999999899 18135578 977991110 715738547 977992778 715736783 999005854 91964334 999007658 91962703 999999909 230130481 999999919 229836252 984066214 548703170 984068198 548701687 999999971 627244507 999999983 626999321 999989614 30747440 999991454 30745841 999999435 775287601 999999752 775278320 978105410 715926122 978106956 715924219 999999638 8553113 999999843 8538762 999999975 899961722 999999982 899541446 999999710 518802 999999947 506389 999996307 656714467 999997674 656712315 999996307 651546958 999997674 651544806 999996307 651081777 999997674 651079625 999996307 650377396 999997674 650375244 999999542 26824891 999999837 26814919 984079967 548454957 984081604 548453160 998752294 196283808 998753942 196282023 999999789 716486202 999999932 716465631 999981420 10871947 999982629 10869514 999998060 63082164 999999365 63079910 999998060 62906490 999999365 62904236 999998060 56313236 999999365 56310982 999999955 199556773 999999976 199416712 999999841 646300826 999999884 646232425 999999982 85151170 999999988 84660964 984096926 548561193 984098646 548559483 999984644 133256280 999986488 133254685 984087307 554474107 984089334 554472656 998993736 4961687 998995170 4959636 999999435 773933769 999999752 773924491 999999882 35964557 999999997 35938982 983748715 548522629 983750171 548520609 999998169 91028650 999999746 91026785 984090376 548494743 984091953 548492878 999998169 90708976 999999746 90707111 993348180 700594065 993349204 700591193 978096216 716060213 978097664 716058182 999999598 17411140 999999829 17398409 999985689 81509271 999987555 81507695 999999931 629331753 999999944 629105541 999993513 30196483 999994912 30194381 984086460 548827634 984087882 548825566 999999946 747355306 999999975 747253907 999999930 788935574 999999951 788795547 999987879 135228545 999989878 135227074 999999946 763300702 999999975 763199306 999996307 651062927 999997674 651060776 984070883 548452838 984071922 548450008 993326030 700620206 993327927 700618656 999971889 78133283 999972878 78130310 978029134 715850750 978030397 715848422 998875114 196259126 998877102 196257647 999998060 63108830 999999365 63106577 999998060 60461853 999999365 60459600 999999410 228444574 999999909 228438682 999999930 801995666 999999951 801855661 999999882 35752657 999999997 35727091 998894803 91965966 998896803 91964496 984097928 548568547 984098999 548565802 999998292 624789077 999999476 624786594 993229375 700593393 993232309 700592391 978018491 715857699 978019666 715855197 993158470 710122538 993160972 710121363 999994156 227416744 999994326 227399451 977327168 715067688 977328655 715065711 999975440 135250828 999977117 135249075 999973095 135247486 999974772 135245733 999994840 78115905 999996069 78113513 999999822 13382448 999999980 13363843 999999993 878671170 999999996 877691312 999998169 195514709 999999746 195512845 999990808 23547492 999991419 23542681 999990808 16247397 999991419 16242586 999999969 704564288 999999993 704441808 999999605 25916222 999999895 25906086 998991459 4971608 998993317 4970026 979528068 713844466 979529526 713842450 999998503 24713693 999999367 24710291 999999144 7228955 999999638 7223005 999996379 10887689 999998480 10886290 984076189 548832979 984078233 548831541 999994496 624812974 999996307 624811351 999999882 32870696 999999997 32845138 999996307 650895566 999997674 650893416 999993986 10986623 999995679 10984887 999983614 133272297 999985436 133270684 999998060 63162469 999999365 63160217 983647360 548915167 983649335 548913679 992144178 719889080 992145657 719887093 978686057 715805080 978687744 715803338 999158463 4949583 999159058 4944644 984015123 548465996 984016866 548464310 999998292 623799536 999999476 623797054 993163904 710125027 993165220 710122794 999999435 721884129 999999752 721874859 999999605 26616989 999999895 26606856 999973336 81166801 999975795 81165606 998856397 196269376 998857955 196267490 978116091 716004817 978118166 716003401 993362016 700596895 993363891 700595328 999982647 81175466 999983736 81172768 993328868 700596324 993331054 700594980 999999730 4866648 999999894 4848734 978011009 715744664 978012610 715742829 999999789 717615350 999999932 717594806 983835825 548553101 983837599 548551445 999997659 24973244 999998723 24970483 993349689 700604301 993351508 700602686 999996307 651117624 999997674 651115475 999993032 625269542 999996307 625268645 999999789 717472843 999999932 717452300 993104451 710111961 993106491 710110521 993326625 700606669 993329545 700605663 999992076 81147661 999993187 81145017 983648445 548948274 983649673 548945882 999999975 902279638 999999982 901860022 999999895 25838133 999999927 25746348 983970200 554609904 983970943 554605951 998928917 91966663 998930249 91964458 999997146 11082589 999999144 11081119 999999329 728173491 999999435 728145783 983753569 548544366 983754648 548541644 999999999 834835648 1000000000 831898791 992135399 719879049 992136577 719876556 999999948 168488067 999999959 168221091 999162805 4970767 999164772 4969274 999148860 81583743 999150684 81582133 999994156 221825749 999994326 221808475 993133859 710120687 993135927 710119267 999979449 81538765 999980279 81535227 999999837 27089663 999999983 27069550 999999598 17376668 999999829 17363956 999999996 788510325 999999997 785573868 999991537 16349926 999993196 16348156 999153992 4970570 999155007 4967677 999998169 91216764 999999746 91214902 999998169 90639025 999999746 90637163 999999435 720097264 999999752 720088001 999996307 657577536 999997674 657575388 999998060 56615566 999999365 56613316 999998060 56337232 999999365 56334982 999999993 957207726 999999996 956229004 977972375 715749189 977974294 715747659 999999435 771570096 999999752 771560834 999980723 80999851 999983424 80998764 999999948 191343927 999999959 191077023 998752955 196259259 998753758 196255603 984097219 548506093 984098625 548504005 999992980 20160596 999995338 20159351 999999946 726605731 999999975 726504501 984045158 554484149 984047083 554482624 999972219 80962656 999973629 80960574 999999598 19562388 999999829 19549680 999999884 651814886 999999925 651743289 999999946 761426806 999999975 761325593 999993513 30090004 999998840 30089453 998742361 196253713 998744428 196252293 983658607 548926790 983660197 548924944 999994314 24646022 999996245 24644502 999964892 2303 999966167 1 999999991 731240156 999999992 728305142 992117663 719852642 992119430 719850981 999996307 651097709 999997674 651095562 999996307 651086092 999997674 651083945 999998060 63460368 999999365 63458119 999999837 27044528 999999983 27024426 999997697 5123990 999999286 5122143 999999925 649439261 999999979 649384912 993110909 710111131 993112800 710109579 999998169 195834717 999999746 195832856 999998169 195265730 999999746 195263869 999999909 219341790 999999919 219048326 999990808 24035180 999991419 24030377 984049508 548464582 984050856 548462405 999999882 33062442 999999997 33036924 999997287 4527558 999999286 4526090 999999925 647222553 999999979 647168210 999999990 194570479 999999991 191636036 984072807 548837998 984074979 548836647 984082656 548454100 984086457 548453328 999999144 7540766 999999638 7534826 999994867 10897414 999998053 10896493 978592662 715740178 978594052 715738067 984069445 548570850 984071067 548569041 983835481 548498027 983837255 548496373 999985711 133262512 999986646 133259374 999997527 5102790 999999286 5101122 978117617 715897921 978118886 715895609 999999969 664182939 999999993 664060694 999999841 643960033 999999884 643891804 999993414 10931241 999995150 10929551 983647305 548896042 983650446 548895108 999999789 712861874 999999932 712841359 999998060 63010878 999999365 63008630 999999841 652097060 999999884 652028836 999993513 30045097 999994855 30042911 999996307 650139819 999997674 650137673 993348104 700636236 993350039 700634720 999999329 728676243 999999435 728648569 999999144 8934652 999999638 8928714 999999144 8699144 999999638 8693206 999994156 227234940 999994326 227217685 999999841 647549841 999999884 647481626 999161160 4961296 999162769 4959473 999999710 3593809 999999947 3581433 977354284 715069252 977355610 715067040 999980391 81157140 999981465 81154409 999981420 10030157 999982629 10027731 999977303 81142650 999979398 81141250 999993032 625350213 999995121 625348809 983975295 554693891 983976420 554691284 977328655 715059790 977330188 715057877 999980285 30766092 999982006 30764388 999977764 78124101 999981543 78123325 999999605 26139249 999999895 26129137 999996689 24925495 999999367 24924400 979510857 713844286 979512755 713842741 999999717 14120549 999999822 14092622 999998060 63643428 999999365 63641181 999998060 63400875 999999365 63398628 999982997 135214384 999984729 135212691 999121787 81560861 999123129 81558676 992136577 719878022 992137970 719875917 999996307 651453699 999997674 651451554 999999882 35308513 999999997 35283017 999999923 227928528 999999955 227836902 999990016 64078178 999991644 64076377 992109094 719750408 992110905 719748789 999999969 694993986 999999993 694871824 999989037 64090576 999990463 64088520 999126138 81564920 999128174 81563480 977361838 715060666 977364141 715059393 978590476 715741949 978592576 715740553 999998292 624598422 999999476 624595946 999999841 655269100 999999884 655200924 999993982 30170984 999998194 30170288 984099594 548825477 984101095 548823524 999999144 8517964 999999638 8512030 992135299 719855681 992138260 719854691 998742620 196263181 998745100 196261999 999999930 783701619 999999951 783562033 999999435 775025105 999999752 775015858 999993414 10945852 999994086 10941490 999999969 718481441 999999993 718359306 999995455 135246813 999998169 135245733 983648899 548906499 983650953 548905072 999999144 10407983 999999605 10401625 999999710 2785868 999999947 2773501 999999999 149115037 1000000000 146184120 999996307 657287204 999997674 657285060 999996307 651417501 999997674 651415357 978015305 715832890 978017391 715831485 984074801 548570542 984076175 548568409 983658599 548914080 983660197 548912246 999999946 774803353 999999975 774702295 999981420 10683207 999982629 10680783 999981420 10487417 999982629 10484993 992134082 719743563 992137617 719742734 983765586 548527309 983766557 548524291 999999598 19009736 999999829 18997050 999994156 230585009 999994326 230567771 999978418 30777985 999980398 30776505 999993032 625028737 999994610 625026880 999993596 16310478 999994589 16307527 978028527 715744004 978030397 715742437 999999948 143020688 999999959 142754305 983638729 548912246 983640392 548910484 992047975 719845643 992049935 719844148 983974483 554602429 983977668 554601509 999976087 135256714 999977986 135255171 999999931 632086055 999999944 631860664 999998169 90982644 999999746 90980786 999999435 772271754 999999752 772262511 999999971 628319076 999999983 628074908 999999948 171435829 999999959 171169465 999972878 78134014 999974495 78132202 992144178 719868627 992145657 719866646 984081664 548726455 984082781 548723832 999993414 11038236 999995217 11036611 999150233 4971801 999152289 4970376 984078650 548461763 984080274 548459959 998749603 196299315 998751456 196297734 999999730 5991060 999999894 5973197 999971889 133289224 999973142 133286886 999996630 24788582 999998792 24787227 999164772 4815694 999167344 4814555 999996307 657613222 999997674 657611079 999996307 651245549 999997674 651243406 999996307 651152443 999997674 651150300 992054516 719743372 992055952 719741332 999981420 9726625 999982629 9724202 999996956 135245733 999998169 135243318 999155007 4970570 999157821 4969529 999973403 81538608 999974962 81536729 999999884 644986621 999999925 644915174 999972527 135203780 999973826 135201525 999999882 33472851 999999997 33447380 999992472 16261001 999995338 16259979 999091997 91966187 999093223 91963798 983763086 548489871 983765275 548488533 999999923 205848402 999999955 205756875 999999882 38397865 999999997 38372397 993356009 700612138 993357620 700610320 999999884 646020991 999999925 645949557 984049615 548461465 984050856 548459105 993348104 700642345 993349422 700640123 999997287 4841528 999999286 4840063 999999993 855929229 999999996 854953053 984086266 548479597 984087767 548477646 999992965 81529487 999994447 81527511 999998060 60184186 999999365 60181942 999998060 56706459 999999365 56704215 999999598 24504576 999999829 24491899 999979725 134197887 999980463 134193919 999997900 9049401 999999144 9047047 999999859 11519310 999999922 11472828 999188313 4815611 999190157 4814023 984014731 548456012 984017719 548455032 999981420 10786732 999982629 10784310 999996307 658040458 999997674 658038316 978012861 715818642 978015726 715817620 984071343 548836365 984072360 548833486 999991419 20571160 999991537 20546347 999999717 14652131 999999822 14624246 993156960 710130169 993158470 710128230 999999435 772420489 999999752 772411253 999997895 24930464 999999367 24928475 999983121 135207774 999984404 135205492 999994314 24935606 999995423 24932966 999999314 25222440 999999605 25212379 993370571 700627336 993371909 700625148 984092086 548465473 984094226 548464105 999999986 203600557 999999987 200673103 999999710 3544658 999999947 3532306 993364530 700653827 993366074 700651931 999999730 5148837 999999894 5130987 992125460 719755014 992127232 719753362 998990603 91966663 998991834 91964285 978499376 716063463 978500193 716059880 999990808 16503770 999991419 16498979 999999045 196125134 999999639 196120206 999984170 133287614 999985821 133285841 999167733 4805949 999169117 4803834 999993513 29986909 999994766 29984573 999995596 80959901 999997528 80958386 999989130 135214018 999990344 135211607 999998169 195312105 999999746 195310249 999998169 91108118 999999746 91106262 999999329 734978542 999999435 734950930 999999979 649216063 999999997 649053459 999993393 16274846 999995076 16273107 999999979 648549986 999999997 648387393 998864899 196269335 998868334 196268483 992077553 719755014 992079563 719753558 999999435 777436799 999999752 777427567 999999598 17345252 999999829 17332583 999996921 30138707 999998840 30137182 999087631 91964719 999089767 91963349 999999329 730558035 999999435 730530429 993341145 700622034 993342751 700620212 999999476 639071705 999999484 638705941 999980755 78100001 999984590 78099238 998759813 196291666 998760581 196287856 999999598 19626147 999999829 19613480 984096622 548706503 984098730 548705115 993099006 710190359 993100550 710188464 999988836 30790535 999990588 30788865 999998060 63526416 999999365 63524174 999998060 63182158 999999365 63179916 984067535 548857588 984070097 548856446 999999930 790673298 999999951 790533975 999997180 10918721 999998896 10917016 999991537 19010966 999993064 19009050 999979212 133256565 999981534 133255305 992070114 719754152 992071885 719752500 999999989 21197590 999999990 18271902 999978335 78117017 999980966 78115905 999998292 623883172 999999476 623880701 999983914 80983761 999985132 80981359 998735777 196305033 998738000 196303717 999999144 8629407 999999638 8623485 999996307 656557096 999997674 656554956 992097738 719752244 992099724 719750771 999999999 848387620 1000000000 845462260 999998169 195779066 999999746 195777211 999998169 91447831 999999746 91445976 999998169 91230561 999999746 91228706 978608703 715745598 978612420 715744811 999977821 135222041 999979047 135219655 999999982 125664529 999999988 125176998 999977353 30808923 999978511 30806397 978028388 715861946 978030397 715860490 999999946 731687884 999999975 731587021 999999605 30321680 999999855 30309980 999980425 78130367 999982275 78128786 999995391 11064737 999997154 11063078 999999341 6942143 999999588 6930302 999999435 776244866 999999752 776235640 999981420 9944839 999982629 9942420 984096094 548830566 984098142 548829138 999978005 133294692 999979637 133292900 999998060 56221317 999999365 56219076 999999144 9125646 999999638 9119726 978023655 715833017 978024401 715829097 999991419 17072998 999991537 17048216 999995242 11094899 999997080 11093308 983656978 548934221 983658306 548932019 999993400 133256921 999995356 133255426 983652489 548951451 983653736 548949106 999979371 78078617 999980552 78076141 999999922 11663586 999999934 11419908 999999843 8789268 999999936 8757826 999996319 24965707 999998124 24964087 999995297 11011951 999996437 11009386 983648140 548922241 983650791 548921138 998738348 196278064 998740047 196276343 999996667 10935449 999999025 10934209 978110413 715952439 978112167 715950772 984092266 548832960 984093031 548829138 999999997 887647367 999999998 884723567 977995618 715748120 977996328 715744002 999999598 22796991 999999829 22784334 999999598 19433446 999999829 19420789 999998169 91167956 999999746 91166102 999999884 656462677 999999925 656391369 984077469 554484465 984078762 554482204 978113792 715957786 978116386 715956659 998737013 196265049 998738578 196263181 999994682 625146093 999996307 625144294 999996304 24864468 999998064 24862807 999999822 14820500 999999980 14801998 999999598 16456098 999999829 16443443 999991098 81545924 999993257 81544570 999999982 749116117 999999983 746192862 999998060 63951754 999999365 63949514 999999882 36321878 999999997 36296459 999999149 25884641 999999314 25866925 984091378 548504711 984093270 548503166 983653310 548913925 983655051 548912246 999999955 222705990 999999976 222566794 999993932 20151024 999995338 20148945 999999435 735205461 999999752 735196240 999984619 78091194 999987286 78090098 999999607 6572606 999999730 6548842 999999975 894501823 999999982 894084256 999991537 18918266 999995338 18917497 993127103 710114902 993128526 710112848 999999717 14856857 999999822 14829021 984094512 548859535 984096154 548857755 978115726 716051851 978117339 716050039 999140265 4944351 999141564 4942101 999996307 657662911 999997674 657660773 999996307 650858102 999997674 650855964 999999948 154798640 999999959 154532945 999999717 12521966 999999822 12494132 999997287 4967430 999999286 4965968 999997287 4913537 999999286 4912075 999997287 4647222 999999286 4645760 999999974 911985513 999999975 909062986 984066809 548450117 984069134 548448860 984047648 554485495 984049136 554483531 998835696 196264504 998838675 196263523 983764361 548532766 983767082 548531692 984083081 548556685 984084797 548554982 993359303 700617023 993360323 700614158 999999992 19347914 999999993 16425620 999999882 33036924 999999997 33011513 999998169 90726666 999999746 90724813 998839121 196275231 998840787 196273477 999981420 10503250 999982629 10500833 977958820 715798431 977960470 715796660 999999991 216339992 999999992 213417847 999999588 6908550 999999891 6898906 999999993 155561273 999999994 152639158 999998292 624165218 999999476 624162750 999998292 623601605 999999476 623599137 999993032 625284637 999995306 625283352 992125127 719746036 992126161 719743210 984101275 548528975 984102826 548527091 999999843 9391306 999999936 9359886 999999969 706399895 999999993 706278146 999999948 11850573 999999978 11753178 999990808 24540425 999991419 24535643 999999435 775996854 999999752 775987637 999999988 21286413 999999989 18364627 999999410 231148365 999999909 231142510 999993032 624887594 999994612 624885745 984100229 548713858 984101971 548712181 999999979 652924882 999999997 652762586 999999946 747142451 999999975 747041716 999996307 657413929 999997674 657411792 998735777 196301516 998736358 196296488 993153772 710113422 993155197 710111372 993347206 700639696 993348104 700636443 999999948 124159609 999999959 123894046 999999286 4612212 999999455 4594927 999999841 649145053 999999884 649077119 978491667 716045391 978493880 716044071 999990518 81138181 999992131 81136370 999980181 81148140 999982001 81146535 978026478 715811999 978027954 715810020 998852376 196260317 998853711 196258129 999998292 624719752 999999476 624717285 999987801 133273519 999989549 133271848 999999837 29323313 999999983 29303307 999999955 213549558 999999976 213410473 999994156 226085092 999994326 226067911 993135045 710112063 993136549 710110121 999999329 726369685 999999435 726342131 999982270 30784631 999983982 30782925 999997068 24782820 999998890 24781217 999998169 90794581 999999746 90792729 993331534 700615102 993335449 700614356 999999367 24917795 999999638 24907018 999176765 4799447 999178670 4797914 984054297 548467113 984055584 548464844 999983213 80953791 999985190 80952314 993347483 700599329 993349129 700597555 999999983 28922692 999999996 28698081 999996307 656981554 999997674 656979418 999102173 91966663 999103314 91964104 998736141 196312232 998737929 196310599 992119037 719842845 992120211 719840358 984084319 548698724 984085479 548696207 999994156 224461546 999994326 224444372 977996328 715741277 977996901 715736182 993097124 710167903 993098870 710166231 999998060 62661523 999999365 62659286 999992208 133254954 999993400 133252505 999991138 81170567 999992193 81167800 999999329 733474653 999999435 733447114 984079173 548725229 984081499 548723974 999993440 16321104 999995338 16319566 999999999 695433232 1000000000 692514148 999999144 9883132 999999638 9877223 999993032 625175530 999995069 625174097 984093329 548531903 984095122 548530275 983646503 548932910 983648205 548931195 999997393 11000697 999999144 10999030 978101885 716064818 978103271 716062712 983656759 548905864 983660024 548904970 978104030 716019485 978105748 716017786 999999969 659116136 999999993 658994521 999999993 758089035 999999994 755170390 998827045 196280691 998828475 196278650 999996307 656626458 999997674 656624323 999996307 651035675 999997674 651033540 983973080 554678989 983975496 554677781 999975270 133242135 999980381 133241564 999135777 81565628 999137120 81563455 999999045 196233202 999999639 196228289 999999435 774340208 999999752 774331002 999994314 24788582 999995104 24784888 993346341 700622117 993347466 700619523 999990808 15926081 999991419 15921305 993353686 700637149 993355900 700635831 999999956 16712292 999999970 16503861 999999979 639586558 999999997 639424447 999998060 62641775 999999365 62639539 999998060 60475330 999999365 60473094 999998060 56559413 999999365 56557177 999993032 625103721 999994279 625101381 999984806 80970667 999986276 80968682 977332332 715081918 977333937 715080100 999999329 775540801 999999435 775513275 983648140 548924337 983649532 548922241 999999992 154023009 999999993 151105474 999997489 196146561 999999045 196144686 999999930 807297127 999999951 807158200 999999955 196426068 999999976 196287141 999998292 623467995 999999476 623465531 999992629 78109159 999993571 78106062 999999435 735296916 999999752 735287713 999981420 10417792 999982629 10415379 978579827 715803672 978582427 715802550 999999607 5902104 999999730 5878388 999999998 97922785 999999999 95005817 999978923 78076141 999980231 78073911 999999314 25156392 999999605 25146369 999998060 56520694 999999365 56518459 983980007 554631508 983981416 554629438 999990887 64106072 999992863 64104596 999997287 4498826 999999286 4497367 999999971 626741469 999999983 626498425 992118414 719863137 992119034 719858433 984096831 548958571 984098678 548956992 999999314 25473398 999999605 25463376 999974848 134197887 999976279 134195849 999991661 78104162 999995137 78103323 998739581 196281202 998740909 196279006 993096662 710113208 993098479 710111603 984082387 548577228 984084401 548575780 993333602 700600082 993335541 700598578 999991537 20223573 999993453 20222051 999981420 10891445 999982629 10889033 999981420 10165481 999982629 10163069 999999435 735308548 999999752 735299349 999999144 9948356 999999638 9942453 999999991 75082438 999999992 72166358 984066214 548712619 984069509 548711734 999999975 981302514 999999982 980885939 999999605 30802540 999999855 30790876 984072699 548706551 984074036 548704370 999999909 198953609 999999919 198662010 999002927 4958439 999004671 4956767 999999993 904873465 999999996 903901491 999998169 90714050 999999746 90712201 984079101 548570228 984080704 548568409 978578201 715793550 978579613 715791485 999999969 713345692 999999993 713224203 999018576 4960555 999021096 4959398 999021619 4967047 999022448 4963530 999999993 834237964 999999996 833266111 999993972 625298054 999995680 625296347 999179554 4823626 999181264 4821921 984087602 548544956 984088987 548542851 999999144 10643725 999999605 10637401 999014129 4955636 999014509 4947964 993128526 710114356 993130862 710113108 999007301 4947964 999008909 4946151 999999948 133296994 999999959 133031969 999994582 624759178 999996307 624757488 999999598 15641907 999999829 15629287 999978695 78134952 999979968 78132662 999999144 7832672 999999638 7826771 999157078 4971801 999159446 4970570 999999598 18867107 999999829 18854488 993166310 710116630 993168297 710115163 999999710 1804231 999999947 1791932 999999895 26552358 999999927 26461269 999995454 10935449 999996667 10933046 999993414 10881745 999994579 10879243 999991537 18974585 999992480 18971494 999994534 625224241 999996307 625222597 999999789 715847326 999999932 715826943 999999623 26758988 999999920 26749174 999977872 30782166 999979376 30780228 999999837 28277016 999999983 28257052 993226490 700620850 993229147 700619753 998935325 91966364 998937157 91964773 978115687 715980456 978117867 715979119 978113620 716026363 978115204 716024523 993359794 700658888 993363803 700658161 999999992 151105474 999999993 148190987 999994156 221644593 999994326 221627449 984096476 548477003 984098802 548475750 999974746 81544832 999976039 81542578 999999314 26361807 999999605 26351792 999999955 215346969 999999976 215208191 998868087 91963897 998871429 91963025 993349787 700606529 993351095 700604301 999999435 719982566 999999752 719973373 999999410 228931901 999999909 228926061 999994156 227613759 999994326 227596617 999999919 220617120 999999923 219888600 983747663 548539711 983749332 548537965 999999286 6101910 999999455 6084667 999998292 624432849 999999476 624430388 993349204 700592337 993351751 700591193 998998100 91965742 998999765 91963992 984091714 548953201 984093495 548951565 999999410 229119593 999999909 229113754 978113876 715876271 978114859 715873307 984072360 548848678 984074368 548847227 999993943 625387228 999995737 625385604 999999829 18384340 999999899 18342722 999979271 135195098 999981109 135193513 999999989 739013254 999999990 736100031 999994314 24980029 999996696 24978806 999996307 656953582 999997674 656951451 978102242 716045998 978105092 716044976 983760613 548515106 983762761 548513750 999999993 670841731 999999995 669385419 999994664 24736794 999996737 24735389 999997287 4792780 999999286 4791323 999981420 10839577 999982629 10837168 999999314 26468514 999999605 26458506 999993452 64087540 999994668 64085145 999108346 81570254 999110242 81568718 999999995 725207361 999999996 722295112 993147373 710130797 993148990 710128996 999999979 644838045 999999997 644676256 984054675 548455770 984056537 548454206 999999971 622925682 999999983 622683006 998820748 196273026 998822674 196271514 999978924 30784493 999981208 30783218 992066269 719755014 992067982 719753314 999179518 4837697 999180230 4833607 984093495 548953201 984095275 548951565 999999435 719925426 999999752 719916240 999999882 34339921 999999997 34314600 999999476 617441175 999999484 617077186 999999944 626261869 999999971 626154021 993337588 700597604 993338970 700595497 992131017 719742218 992132880 719740655 999999841 651217188 999999884 651149473 999999925 648974698 999999979 648920778 999999996 60556778 999999997 57645159 999999975 956837883 999999982 956421939 984070883 548456073 984072845 548454589 999997787 30106765 999998840 30104000 984092727 548492878 984094625 548491344 992125716 719865062 992127263 719863180 999999946 770981690 999999975 770881299 999999598 23113352 999999829 23100749 999999894 4325643 999999965 4284639 999999882 33521121 999999997 33495806 999999999 170166222 1000000000 167255026 999996112 30105967 999997787 30104229 999998169 195933883 999999746 195932037 999998169 91270608 999999746 91268762 999999144 7753689 999999638 7747796 999997287 4384515 999998824 4382621 999991058 135255722 999992712 135253962 999999986 230547344 999999991 229965158 999999996 911484818 999999997 908573979 999980115 133267655 999981238 133265063 999987531 78104550 999988904 78102430 999981215 81523169 999983312 81521781 977331132 715074897 977331972 715071432 998945449 91966663 998946184 91962703 999997287 5002914 999999286 5001458 978118336 716064818 978119718 716062712 999184126 4806406 999184828 4802260 978110579 716058781 978112531 716057290 999996307 657017813 999997674 657015684 999996307 656568459 999997674 656566330 984048749 554483413 984050741 554481952 983976965 554684393 983980022 554683441 984085479 548701236 984087728 548699942 999999410 228157774 999999909 228151942 999999969 688867470 999999993 688746217 999069570 91965359 999071433 91963797 999173459 4835113 999175594 4833750 999999989 186771847 999999990 183861875 999999988 148719983 999999989 145810056 999999598 21130135 999999829 21117538 999999822 13242853 999999980 13224436 993351095 700606529 993352401 700604301 999999435 721240617 999999752 721231438 978111442 716040317 978112468 716037481 999999994 18288998 999999995 15379284 993363887 700633597 993365212 700631401 999999410 230315900 999999909 230310069 999999144 9263678 999999638 9257788 978027031 715834329 978027938 715831121 999971889 81545924 999977141 81545370 999999607 6856084 999999730 6832429 999998169 195326035 999999746 195324190 993145700 710132529 993147746 710131107 983760095 548536033 983764361 548535351 999999588 7161267 999999891 7151665 999999946 769515011 999999975 769414687 999999948 103851332 999999959 103586849 983834879 548512392 983836015 548509831 999999993 907049349 999999996 906079594 999999789 714642967 999999932 714622623 984087521 548564199 984089173 548562438 999999435 777375103 999999752 777365926 999998292 623739197 999999476 623736740 999999969 661462136 999999993 661340928 999999598 24621962 999999829 24609369 999999974 813113017 999999975 810204076 999998060 63800746 999999365 63798517 998873509 196267588 998875287 196265952 999993876 625324588 999995578 625322879 999999455 5191973 999999607 5172837 999999969 675921669 999999993 675800475 978020213 715868040 978021962 715866377 983832037 548500366 983834128 548498975 999997129 196242894 999999045 196241376 999992451 80994924 999994367 80993406 999999843 8126644 999999936 8095370 977971013 715737962 977972881 715736405 999999882 37708256 999999997 37682965 978010747 715842549 978012309 715840687 999995577 26685899 999999060 26685064 999999981 769233189 999999982 766324921 999972564 133251686 999973975 133249625 999993032 624856777 999995883 624855757 999998292 624767534 999999476 624765078 992119430 719854366 992121516 719852972 999984807 78104316 999986953 78102961 978577808 715789691 978579593 715788062 998745100 196262946 998748446 196262077 984056109 554481317 984058106 554479861 999996307 651427543 999997674 651425416 978617262 715738314 978621245 715737584 999999843 8607234 999999936 8575970 999999999 922381701 1000000000 919474200 999991419 18510429 999991537 18485791 999983483 133278632 999985282 133277016 977980561 715745126 977982100 715743237 984093531 548698186 984095000 548696207 999996309 26677142 999998163 26675574 999018677 4945449 999020384 4943746 999999946 729071711 999999975 728971471 999980654 135212413 999981389 135208458 999999435 773560315 999999752 773551145 978629221 715743577 978630783 715741716 978489205 716060927 978490165 716057899 999999982 110363536 999999988 109879060 999187289 4819033 999189585 4817767 999142441 81568326 999144101 81566575 978103895 715878410 978106087 715877084 983973006 554582907 983975371 554581678 999997287 4758029 999999286 4756575 999990808 24073162 999991419 24068405 999990808 16448661 999991419 16443904 984089327 548854237 984090339 548851365 999999045 196077426 999999639 196072533 999996307 651437824 999997674 651435698 999996307 651003951 999997674 651001825 999998060 62671572 999999365 62669345 999999144 8584336 999999638 8578453 999978299 134197887 999979725 134195849 999994156 228930260 999994326 228913165 999999948 194680835 999999959 194416641 999994314 24680155 999995601 24677897 998736358 196298768 998738173 196297167 999997314 24991722 999998915 24989907 999177992 4837697 999179518 4835793 977349452 715080398 977351285 715078813 978109783 715900555 978110886 715897921 999999992 743986541 999999993 741081331 993363891 700614158 993365220 700611972 999999730 4733944 999999894 4716230 998743921 196299180 998745100 196296716 999994262 11113932 999996340 11112534 984093226 548556848 984094476 548554524 999125131 81578153 999127935 81577117 999997562 4917494 999999286 4915809 999999329 729291885 999999435 729264480 978093909 716014107 978095475 716012252 999998169 195482642 999999746 195480800 999996036 30222711 999997657 30220919 978684737 715770401 978685988 715768079 999999996 711079337 999999997 708174570 998833093 196252314 998835232 196250956 984078075 548839603 984079451 548837492 999999435 771616456 999999752 771607293 999999996 927293995 999999997 924389388 999994156 222535894 999994326 222518809 983639806 548939436 983641900 548938049 999998292 624218728 999999476 624216275 993361727 700663114 993363803 700661715 984090436 548521110 984092539 548519729 999992922 16295232 999994391 16293255 977315011 715065513 977316796 715063886 999974914 133245958 999976066 133243437 999990003 80963526 999993146 80962602 984080095 548575658 984081891 548574041 993355337 700651931 993356689 700649783 999148752 4949393 999149955 4946979 999999975 855024969 999999982 854610106 998989701 4961513 998990973 4959230 999999948 141081915 999999959 140817918 984083935 548705271 984086514 548704145 999991419 24468305 999991537 24443696 999999930 804046704 999999951 803908431 999999435 775946351 999999752 775937191 999999435 732075207 999999752 732066047 984082133 548846070 984083843 548844372 999999638 24943250 999999758 24919054 993326625 700613338 993328203 700611498 999999979 22536217 999999980 19632697 999999789 716355793 999999932 716335489 984077453 548822236 984079170 548820545 999993513 30201705 999998840 30201160 999999410 229791253 999999909 229785435 999161178 4955603 999163294 4954231 999993656 20188794 999995338 20187068 999159446 4965429 999160762 4963223 999983555 80999707 999985366 80998104 993347886 700654531 993350250 700653303 999986718 135194812 999987923 135192403 999022448 4965974 999024218 4964334 978106673 716034845 978109505 716033820 999999955 221221695 999999976 221083468 999976781 135187511 999978928 135186159 993235770 700600209 993237765 700598754 999999605 25049939 999999895 25039930 999994655 624848101 999996307 624846344 999985763 81542479 999987520 81540827 999997287 4667933 999999286 4666481 999999598 19712673 999999829 19700108 999999944 631990820 999999971 631883321 999990808 15702450 999991419 15697700 978686613 715743824 978688815 715742506 983746393 548511902 983748950 548510767 999999410 227460986 999999909 227455170 999996307 657893810 999997674 657891687 999996307 651389508 999997674 651387385 984078941 548559781 984080702 548558133 978105759 716047809 978107534 716046174 998862131 196269567 998863876 196267904 999994606 624866653 999996307 624864947 999999930 794774427 999999951 794636244 999999144 8346234 999999638 8340360 978114225 715973868 978116042 715972271 993362002 700668972 993364161 700667628 999180089 4840323 999181553 4838341 993355968 700599175 993357171 700596763 984015226 548455032 984016615 548452943 999112779 81569874 999114729 81568386 983773248 548531692 983773910 548527309 999999991 760502021 999999992 757600490 999106487 81564792 999107886 81562718 999148192 81565385 999149943 81563728 999999975 864476780 999999982 864062295 998902219 91963665 998905235 91962703 999991419 22214013 999991537 22189425 984083080 548957865 984085993 548956869 993094674 710130331 993096867 710129008 978010747 715814425 978012184 715812406 999999997 103014648 999999998 100113536 992134178 719746385 992135206 719743563 999998060 63847519 999999365 63845296 999995976 24674078 999997107 24671513 999995055 11067388 999996449 11065307 999999710 1329517 999999947 1317277 999999882 37552221 999999997 37526996 999996307 656957427 999997674 656955305 999999975 948501526 999999982 948087137 999999410 228878356 999999909 228872543 999991537 16357644 999993692 16356298 999181799 4808159 999183140 4805996 999997287 4960244 999999286 4958793 999145975 81574093 999146880 81570888 999977602 30769438 999980194 30768319 998822396 196271514 998823662 196269223 999991537 20149624 999993932 20148413 999982489 135222514 999983962 135220545 984092864 548522464 984095006 548521110 999999999 669431976 1000000000 666531747 978091780 716056139 978093480 716054433 999978462 80986647 999980582 80985279 993148737 710113223 993150561 710111633 999983832 134197887 999984687 134194495 999998169 91197810 999999746 91195971 983753974 548510767 983757985 548510044 978011118 715738201 978014120 715737235 984092091 548722465 984094398 548721208 993366256 700669352 993367938 700667628 998738042 196282733 998739936 196281202 999999435 733411818 999999752 733402671 999978147 81165171 999980407 81163888 999999923 213718667 999999955 213628060 999996307 650679035 999997674 650676914 984081416 548562196 984082722 548559976 999997362 10958491 999999144 10956864 999106614 81562718 999108055 81560706 999999829 20858995 999999899 20817577 999984919 80968287 999986557 80966517 999994156 221005795 999994326 220988741 978577385 715755017 978582427 715754442 999991419 22003229 999991537 21978660 978108846 715885240 978110367 715883334 999994314 24948955 999996072 24947306 999112857 81570877 999115747 81569874 999998169 90853578 999999746 90851740 999977507 78081564 999979371 78080009 992099026 719744923 992101294 719743645 999999999 761794475 1000000000 758896071 999974375 78126116 999976089 78124425 978119046 715888265 978119718 715883952 999999435 733091111 999999752 733081968 999999144 9037837 999999638 9031970 993370261 700667582 993371801 700665700 999992156 20034330 999993738 20032498 999996307 657598399 999997674 657596279 999996307 657356722 999997674 657354602 999996307 650597698 999997674 650595578 999981420 10583467 999982629 10581070 999993024 20229922 999994965 20228429 999999931 631379134 999999944 631156218 999976647 3182 999977558 1 999994156 223785875 999994326 223768829 999999990 623379664 999999992 621930777 978577385 715796453 978579430 715795036 999999993 902271222 999999996 901305305 999999996 977266344 999999997 974368668 999992162 16313138 999993894 16311465 999999969 686651041 999999993 686530307 999991419 22268179 999991537 22243623 999999588 7016202 999999891 7006639 978112192 715916489 978119718 715916104 977312193 715076478 977313718 715074578 999999969 699543699 999999993 699422970 983640392 548897812 983642029 548896042 993141887 710115590 993143379 710113648 999999969 703017475 999999993 702896748 983745794 548550167 983747994 548548850 999997719 4598015 999999286 4596166 998745908 196305374 998747171 196303080 999998292 623772569 999999476 623770122 999999829 15483320 999999899 15441932 984011195 548467113 984013319 548465749 984087291 548456407 984088031 548452492 999998060 59977963 999999365 59975743 999999476 633509139 999999484 633147004 992121316 719741651 992124159 719740632 993229696 700601810 993232149 700600629 977310900 715074578 977313718 715073550 993352941 700623466 993353919 700620504 993233869 700598156 993235567 700596450 984082781 548725042 984085119 548723803 978103895 715986798 978106036 715985445 999992554 133285114 999994038 133283162 984087874 548582688 984089072 548580270 999999944 630448966 999999971 630341679 999999329 775946673 999999435 775919346 998754283 196289236 998756382 196287856 999999822 13832676 999999980 13814343 999999986 741824148 999999988 740375859 999984143 134205144 999986329 134203819 999999329 725515946 999999435 725488622 999994314 24973244 999995363 24970483 978110563 715964067 978112726 715962728 999981595 80989032 999983723 80987671 999999923 209963671 999999955 209873167 999999975 903722418 999999982 903308709 978685956 715784958 978687535 715783124 992054516 719754941 992055814 719752710 999999045 196024512 999999639 196019637 998836826 196258405 998838147 196256213 999995414 133242608 999997020 133240805 999999121 25855012 999999149 25751598 999999988 213003393 999999989 210107813 993128526 710116398 993129944 710114356 999973444 81530962 999974518 81528266 999999789 719789080 999999932 719768832 999999314 25177249 999999605 25167299 999999909 214813240 999999919 214523696 999188708 4807399 999190949 4806107 999999598 20802470 999999829 20789936 999999992 130520724 999999993 127625376 999999982 144805677 999999988 144323121 999996307 657652727 999997674 657650609 999996307 650469019 999997674 650466901 984080758 554485495 984081795 554482703 999999982 741764507 999999983 738869217 999995785 9065269 999999136 9064405 999978697 80981936 999981921 80981038 999999975 903308709 999999982 902895117 999109364 81579668 999111397 81578244 984033284 548459683 984035752 548458510 999999717 12566709 999999822 12539138 999999997 686630812 999999998 683735869 992121516 719854366 992122493 719851403 999992096 18953832 999993671 18951994 999999882 31215152 999999997 31189980 999999605 25436559 999999895 25426577 999999149 25341388 999999314 25323844 984048007 554474888 984049330 554472700 999999925 652100710 999999979 652047106 999997287 4749689 999999286 4748241 999992608 135220764 999994607 135219316 999998060 63959505 999999365 63957287 999981365 135248417 999983190 135246831 999993032 624757488 999994201 624755012 984097540 548699485 984099016 548697524 999999607 5499345 999999730 5475813 983975461 554604342 983976974 554602429 999981420 10782667 999982629 10780273 999996241 10993380 999999144 10992383 999999998 735495845 999999999 732601614 978484655 716064818 978487246 716063701 999999948 179058326 999999959 178795234 992106126 719878552 992109020 719877552 999975502 133291480 999976734 133289131 999991624 80997307 999994367 80996252 998753328 196299132 998755398 196297734 999999144 9285660 999999638 9279802 978107628 716052754 978109225 716050942 992142107 719752718 992143901 719751105 999999944 623896666 999999971 623789497 999994389 20346537 999995338 20343488 978116239 716030787 978117981 716029126 999999948 78114433 999999959 77851395 993106393 710134410 993107812 710132371 977307520 715061774 977310537 715060815 999176636 4824931 999179283 4823838 999999435 733044376 999999752 733035250 999999946 774079788 999999975 773980034 992119473 719865062 992120607 719862511 999999822 13814343 999999980 13796034 999993602 625129446 999995841 625128154 999999999 67010287 1000000000 64117499 984092683 548829138 984094192 548827221 999999841 650128539 999999884 650061266 977957699 715806376 977958719 715803540 999994005 30140548 999996921 30139556 999994301 625072846 999996307 625071404 998752709 196274552 998754715 196273110 999999435 775730369 999999752 775721244 999999989 18271902 999999990 15379284 999999710 921439 999999947 909234 978112192 715925948 978113578 715923861 999996307 657345598 999997674 657343482 999999975 807470873 999999982 807057651 999997287 4689480 999999286 4688033 999994156 225358060 999994326 225341046 999999975 780917709 999999982 780504512 999992216 20285117 999993233 20282273 999999836 11099144 999999981 11079197 999185894 4814305 999187760 4812755 999998169 195947437 999999746 195945603 999998169 195556435 999999746 195554601 978582601 715745813 978583553 715742775 983755969 548525439 983757488 548523535 999999598 16808237 999999829 16795717 999997269 24709302 999998934 24707565 999999946 757556222 999999975 757456495 999999435 773235572 999999752 773226449 999999944 636334818 999999971 636227708 999971889 80952032 999975829 80951298 999981420 9906458 999982629 9904066 999971889 81520789 999974819 81519802 983751785 548543265 983753569 548541644 999999607 4668371 999999730 4644860 999999948 189522368 999999959 189259477 999999789 714121877 999999932 714101655 999999410 229201099 999999909 229195304 999145975 81577332 999148470 81576173 983836015 548512413 983838209 548511095 977967277 715737514 977971013 715736740 999999909 199469301 999999919 199180153 999999934 11889223 999999948 11682689 999999987 636740045 999999990 635776232 999999948 124946261 999999959 124683404 999999598 23680366 999999829 23667849 999979559 135218064 999981389 135216484 999999638 8961767 999999843 8947663 999997129 196149276 999999045 196147767 999996307 656578194 999997674 656576079 999994156 227655810 999994326 227638803 999143679 81563858 999145355 81562133 999979208 78109697 999981437 78108400 992047975 719889592 992049935 719888117 999999986 228146625 999999991 227568425 999988798 135240071 999989776 135237115 978109494 715965501 978111510 715964067 999014509 4949925 999016348 4948353 993095600 710123210 993097063 710121234 999999979 652595364 999999997 652434763 999999996 921206377 999999997 918315569 999999329 777744017 999999435 777716746 999981420 9577500 999982629 9575109 999998169 90874749 999999746 90872916 993112955 710129281 993114445 710127341 999999993 690707030 999999995 689261732 999998060 56468891 999999365 56466676 999997287 4506299 999999286 4504853 999999435 735342219 999999752 735333101 992141536 719865062 992142300 719861279 999994156 223286910 999994326 223269909 999999435 776235640 999999752 776226523 999999435 721319952 999999752 721310835 983768142 548542553 983769438 548540323 978111142 716006302 978112398 716004001 999999970 16664362 999999978 16303106 999982657 30744044 999984110 30742055 999999993 964958573 999999996 963995238 999999975 928642313 999999982 928229456 999999931 620890250 999999944 620667946 978612420 715738156 978613884 715736182 999996307 657090805 999997674 657088691 999994647 30256282 999996476 30254702 999999435 775351229 999999752 775342113 999999923 224021729 999999955 223931424 999999993 6880410 999999995 5435535 999999986 6880410 999999988 5435535 999999984 6880410 999999986 5435535 978115901 715911457 978118946 715910508 978634123 715743404 978635570 715741407 984013319 548466585 984018225 548465996 993099045 710184830 993100550 710182910 999997606 4294020 999999286 4292300 999988149 135186888 999989946 135185280 984057502 548461981 984058771 548459704 978017439 715836628 978018212 715832890 999979532 80969564 999981401 80968018 999990808 23561545 999991419 23556816 992140278 719845396 992141904 719843619 993326024 700599984 993328079 700598578 999999946 722818848 999999975 722719216 993355441 700646736 993356099 700642345 999999969 710520419 999999993 710400035 999999410 229555658 999999909 229549868 999999410 229067942 999999909 229062152 999973180 81139871 999975185 81138430 983759629 548505118 983761235 548503319 993121707 710131932 993123646 710130442 999998169 91418048 999999746 91416216 999998169 91085357 999999746 91083525 978018949 715815267 978021146 715813952 999997534 196125048 999999045 196123136 999999542 29065925 999999837 29056132 999999975 722495050 999999978 721532086 999991537 16296587 999993669 16295232 999999925 644446451 999999979 644392954 999999435 733167245 999999752 733158132 999990808 23639915 999991419 23635187 983980779 554657509 983981416 554652974 999999993 897604450 999999996 896641588 999999286 5683648 999999455 5666556 999999923 210675092 999999955 210584825 999991537 16305348 999992608 16302651 999996307 657489294 999997674 657487181 978113519 715883523 978114555 715880735 999981420 10796047 999982629 10793658 999999476 628569210 999999484 628208185 999988067 81161816 999989558 81159879 999999969 674730669 999999993 674610335 999998060 62967549 999999365 62965336 999998060 60181942 999999365 60179729 998869735 1951 998871216 1 999002429 4971875 999004021 4970061 993332580 700614356 993334141 700612506 999999638 9091389 999999843 9077302 999999975 964349663 999999982 963937117 978480270 716049909 978482067 716048302 998863876 196273924 998864885 196271062 999993032 624960076 999993954 624956944 999999329 728942856 999999435 728915614 984059038 548452399 984060162 548449830 999153900 4962611 999155665 4960975 999999605 30402393 999999855 30390843 999998169 195723187 999999746 195721356 999998169 91098428 999999746 91096597 999993414 11116751 999995180 11115116 999999982 161662227 999999988 161180994 999999993 682847445 999999995 681403788 999987038 133259374 999995922 133259049 999984835 133251915 999986258 133249886 999982712 80983761 999983914 80981359 993361133 700625148 993362729 700623339 999999944 638612001 999999971 638505071 999996307 657071532 999997674 657069420 999996307 651205625 999997674 651203513 999996307 651089081 999997674 651086969 999981420 11122729 999982629 11120341 999999789 713574614 999999932 713554425 999999948 98379423 999999959 98116966 999999286 5154853 999999455 5137770 999990808 16195577 999991419 16190852 999999435 772576697 999999752 772567590 993112800 710111440 993114111 710109238 993368805 700657323 993369727 700654192 999999884 643824780 999999925 643754372 999999410 228720309 999999909 228714524 999999985 745639900 999999986 742753231 999184157 4821523 999186040 4819990 998870991 196273971 998871994 196271093 999999598 16824271 999999829 16811775 999999969 676230231 999999993 676109962 993234942 700616558 993235270 700607758 999999435 775984445 999999752 775975340 999991419 22294007 999991537 22269547 993361222 700630195 993363887 700629112 999999329 724043089 999999435 724015862 999999969 669283927 999999993 669163676 977330259 715061596 977331857 715059790 999992306 30773768 999993513 30771377 983835599 548525930 983837932 548524693 999981420 9684587 999982629 9682200 999999946 757773329 999999975 757673816 999999930 787363125 999999951 787225703 998911903 2039 998913319 1 999984644 133244779 999986975 133243541 999990808 16030502 999991419 16025779 999996307 657685623 999997674 657683512 999996307 657358833 999997674 657356722 999972380 135217802 999973745 135215688 999999975 828016063 999999982 827603843 999976253 133273345 999977182 133270239 999999923 222227976 999999955 222137805 999172083 4837307 999173459 4835210 999999607 4938244 999999730 4914785 999999144 7476748 999999638 7470907 999998060 63155717 999999365 63153506 983979239 554659154 983980993 554657509 999989037 64101652 999991627 64100538 999999946 720830596 999999975 720731108 998854829 196268730 998856397 196266890 999999758 24794263 999999789 24701195 993150896 710121329 993152438 710119458 999994156 224216599 999994326 224199628 999176591 4826181 999178899 4824931 984087593 548852145 984089074 548850197 983762731 548487627 983765275 548486493 978013226 715831485 978014667 715829483 999994594 624829270 999996298 624827577 999984389 135245733 999986095 135244042 984062817 554480628 984064474 554478887 999998840 30512648 999999605 30508877 999999975 878876773 999999982 878464658 999999969 673927739 999999993 673807539 984078140 548710451 984079149 548707592 999174598 4813437 999175506 4810260 999999435 774303042 999999752 774293942 999999993 953148874 999999996 952187315 999981420 9707891 999982629 9705505 992117200 719848205 992118638 719846199 998994681 4975361 998995782 4972741 977358655 715060794 977360008 715058662 999999789 714011500 999999932 713991328 999990808 16222393 999991419 16217672 999999894 5085411 999999965 5044784 998837237 196274490 998839121 196272959 979526911 713842564 979528068 713840071 998903047 91966663 998904554 91964749 999999974 883235988 999999975 880351614 999996307 650977894 999997674 650975784 999999944 624291521 999999971 624184693 999998169 91627096 999999746 91625267 999999975 881251888 999999982 880839852 999998292 624228676 999999476 624226240 992135632 719747838 992137617 719746385 977342742 715065389 977344167 715063365 999999607 5125329 999999730 5101881 999998060 63340186 999999365 63337976 999998060 62887421 999999365 62885211 999999598 22835484 999999829 22822999 983746767 548495425 983748415 548493675 983646647 548946032 983648445 548944428 999119551 91966663 999120690 91964131 999979035 133250445 999980578 133248576 999988675 30774890 999990454 30773269 984086250 548716113 984088029 548714492 999999605 30185846 999999855 30174312 999976639 133285865 999978075 133283857 999981420 10853060 999982629 10850675 999981420 9766052 999982629 9763667 999999435 777074444 999999752 777065348 978115305 715975669 978116906 715973868 999999925 644327923 999999979 644274529 998848343 196277701 998850566 196276404 978103895 715926122 978105410 715924219 978609831 715744811 978611062 715742469 999996005 11015849 999997764 11014210 978107129 715906747 978108811 715905033 999990298 80953791 999992071 80952165 999999435 733608510 999999752 733599416 999998169 91496626 999999746 91494798 999998060 63412424 999999365 63410215 993357171 700597659 993359479 700596410 984007146 548461073 984008700 548459218 978112420 715973868 978114225 715972271 999997287 4657621 999999286 4656179 999998840 30537979 999999605 30534211 999993926 625236087 999995502 625234258 998753975 196268194 998755070 196265562 999999329 731063526 999999435 731036337 999136903 81577117 999138384 81575171 999999884 642243385 999999925 642173092 999132246 81563428 999134097 81561871 999999944 619543537 999999971 619436798 999997910 24634619 999999367 24632641 999997260 30253743 999998840 30251919 978013028 715824346 978014690 715822612 998847699 196279758 998849100 196277701 993143839 710117326 993145499 710115590 999999410 227437908 999999909 227432133 993346341 700618088 993347970 700616319 999996307 657117063 999997674 657114955 999996307 651131205 999997674 651129097 983768848 548510767 983769766 548507628 999981215 81530415 999983240 81528992 999976958 135222942 999977821 135219603 999999435 772058302 999999752 772049212 999999946 774574814 999999975 774475451 984032685 548465985 984034764 548464599 999999710 2160181 999999947 2148023 999998060 62963339 999999365 62961131 999985998 135196405 999986718 135192403 984045454 548448937 984047307 548447382 992129157 719861045 992130756 719859243 999999969 698519599 999999993 698399541 977978378 715748451 977979425 715745699 999999588 6975324 999999891 6965815 999987923 135194812 999989119 135192403 977993539 715746515 977995145 715744721 999999607 5265559 999999730 5242135 999993205 18879384 999994965 18877747 984092629 548960082 984094266 548958322 998889857 2040 998891270 1 999999717 13000651 999999822 12973212 999999843 9018817 999999936 8987839 999999144 10716665 999999605 10710416 999999605 30359859 999999855 30348336 998735777 196309811 998737447 196308086 999999435 734515141 999999752 734506054 999997287 5058137 999999286 5056696 999999981 19722687 999999982 16842155 999999884 647037766 999999925 646967511 999999789 719651347 999999932 719631204 984029177 548454748 984030513 548452592 992108486 719747541 992109907 719745514 999995477 24873962 999997039 24872118 999996307 651261253 999997674 651259146 999990808 24314892 999991419 24310178 999985846 133232730 999986828 133229797 999999946 766050472 999999975 765951155 999999948 183966717 999999959 183704883 999999955 197615716 999999976 197478572 999999994 221693895 999999995 218813873 992111827 719868669 992113455 719866900 993162378 710117184 993163995 710115403 999999598 20374344 999999829 20361877 999995128 30042911 999996694 30041072 999979059 135196565 999982169 135195639 999989053 133284016 999990753 133282322 999993649 18966366 999995338 18964661 999999605 26635349 999999895 26625419 992122915 719872606 992124433 719870709 999998169 195715838 999999746 195714012 999998169 91635743 999999746 91633917 999993621 625229338 999995131 625227431 978112260 715972271 978113752 715970341 999971889 81541611 999972991 81538998 999994113 625056172 999995793 625054458 999999993 222912247 999999994 220032776 984068444 548828609 984069888 548826615 993371350 700686868 993373025 700685149 999995643 134204575 999997038 134202511 984088120 548841031 984089410 548838799 999999410 230988243 999999909 230982473 999999944 617415722 999999971 617309085 999999710 891610 999999947 879462 978117776 716002017 978118748 715999055 992049607 719752386 992051255 719750639 993119069 710130980 993120882 710129392 999999435 777670936 999999752 777661854 978103895 715961801 978110181 715961343 993369099 700686747 993370413 700684556 999999944 629468982 999999971 629362354 999994156 224552667 999994326 224535732 999999983 621804488 999999987 621084762 999996307 656573238 999997674 656571132 999996307 650141925 999997674 650139819 999994408 625338288 999996307 625336772 977308724 715079953 977310900 715078630 999971889 135253158 999974552 135252077 999998840 30264833 999999605 30261070 999009455 4952635 999011186 4950972 999981420 10755351 999982629 10752970 999999899 20694023 999999943 20628601 993093698 710190359 993095217 710188464 999980358 135242214 999982147 135240605 999999144 10816681 999999605 10810437 993092289 710178143 993093475 710175716 999999998 752169857 999999999 749291469 978099355 716005369 978100905 716003512 999998292 623690039 999999476 623687608 999984814 26679370 999986772 26677900 999999598 17799067 999999829 17786607 999999410 230865864 999999909 230860096 999999974 994437674 999999975 991559480 999999341 7105853 999999588 7094201 999998169 91630311 999999746 91628486 998935325 91964065 998937438 91962703 999999991 126237943 999999992 123360143 999999598 16264169 999999829 16251711 998838147 196254428 998841899 196253661 999999410 228762085 999999909 228756318 999999979 642755728 999999997 642595855 999999971 634363024 999999983 634123215 999989738 78083120 999991735 78081679 978115121 715940938 978117028 715939429 999999144 7675443 999999638 7669618 999996307 656784003 999997674 656781898 999996307 651049688 999997674 651047583 999996307 651044299 999997674 651042194 999996307 650659104 999997674 650656999 999998060 62794217 999999365 62792012 984054933 554481987 984055605 554477705 998745100 196261362 998748442 196260501 999999542 27627621 999999837 27617867 984089069 548583882 984091645 548582765 999999329 727263784 999999435 727236639 999999410 227453299 999999909 227447533 984098472 548847216 984099643 548844759 983970200 554581678 983972378 554580357 999999717 13439408 999999822 13412007 999999144 9076357 999999638 9070533 999132724 81586667 999134618 81585148 992100067 719753793 992101660 719751987 983658554 548940773 983660197 548939022 999999329 723704543 999999435 723677406 999999435 720048208 999999752 720039134 999998169 90849553 999999746 90847729 999999598 24211737 999999829 24199285 978019078 715864079 978020573 715862155 999994314 24755554 999996936 24754457 999986041 81521781 999987234 81519370 999999999 823069518 1000000000 820193258 999996307 650937043 999997674 650934939 999996307 650433606 999997674 650431502 999997287 4950682 999999000 4949003 984048431 548452450 984049845 548450416 999999598 18471372 999999829 18458922 999997285 10986434 999999144 10984887 999979731 80998764 999981628 80997248 999999974 968256022 999999975 965380272 999997446 24920764 999999367 24919267 999999789 714580163 999999932 714560053 999999598 20059845 999999829 20047396 999999598 16528543 999999829 16516094 999114493 81571999 999117056 81570877 999999710 4153122 999999947 4140989 992139485 719854527 992141536 719853125 999992017 20067531 999993865 20065975 999090597 91963798 999093223 91962703 999991537 20156030 999993440 20154519 999999542 27416990 999999837 27407243 999999993 788675079 999999996 787716629 999999598 21091364 999999829 21078917 999999598 16704963 999999829 16692516 993152648 710119032 993153772 710116474 999999829 20743128 999999899 20702054 992112096 719861928 992114974 719860929 992115005 719865062 992116346 719862918 999999930 799236024 999999951 799099115 993360012 700657337 993361329 700655154 999999998 121571682 999999999 118696673 999998060 59778903 999999365 59776700 999998060 59767881 999999365 59765678 983978123 554689170 983979589 554687209 999996307 658007439 999997674 658005336 999996307 650811815 999997674 650809712 999999542 28765507 999999837 28755762 999999946 734245316 999999975 734146190 999999983 750370358 999999985 748933044 999997287 4513767 999999286 4512329 999999435 732529874 999999752 732520806 978106009 715946701 978107389 715944618 983765512 548489519 983766410 548486318 993154383 710129882 993156123 710128230 999971889 81180319 999973870 81178868 999999841 639847497 999999884 639780653 999996672 133294995 999998169 133293075 999996765 135253962 999998169 135251915 999992666 19020045 999993949 19017805 983748415 548497183 983750302 548495660 984078505 548453160 984080267 548451529 993347584 700671011 993349087 700669099 999999435 777320299 999999752 777311234 978091241 716026363 978092521 716024118 999999455 4480834 999999607 4461929 999999925 640553908 999999979 640500694 999999955 227744085 999999976 227607252 998899536 91964557 998902219 91963486 978010747 715866021 978011928 715863588 999999717 13404626 999999822 13377261 999999410 228332385 999999909 228326627 992051255 719753512 992052597 719751371 999976693 81138642 999977830 81136115 977316122 715074657 977317670 715072801 978101490 716028068 978103175 716026363 999990808 15801372 999991419 15796670 984061079 554482363 984062817 554480710 978579762 715798145 978581351 715796337 999994105 30005245 999995421 30003062 977307213 715067450 977308729 715065555 999999971 633778153 999999983 633538754 978112398 716005385 978114249 716003833 992116376 719850691 992118638 719849421 999999995 712096757 999999996 709224090 983770351 548530714 983772065 548529038 999993981 625303734 999995697 625302060 999981420 10803355 999982629 10800979 999991537 20227717 999992314 20224020 999999931 630467680 999999944 630246721 999994068 625155893 999995510 625153901 999999605 25882587 999999895 25872682 999977484 81163241 999979095 81161458 999998292 624745375 999999476 624742949 999998292 624062894 999999476 624060468 999998060 63068678 999999365 63066477 999999410 229857521 999999909 229851765 999999922 12025570 999999934 11786222 983833193 548532706 983835230 548531296 984100545 548560707 984102398 548559157 999999969 707416613 999999993 707296941 978111183 716015356 978113336 716014022 999996307 657039911 999997674 657037810 999999455 5998723 999999607 5979828 983657268 548953050 983658409 548950533 999175425 4829214 999176591 4826751 999132724 81584079 999134226 81582167 999999410 230039087 999999909 230033332 977346396 715063655 977348055 715061924 999998169 195949258 999999746 195947437 999998169 195816390 999999746 195814569 999998169 91227155 999999746 91225334 999998169 91205464 999999746 91203643 999999329 724592018 999999435 724564927 984084070 548554982 984085867 548553384 992128837 719848057 992133345 719847420 993141800 710131752 993143305 710129844 999999843 9181804 999999936 9150928 999991419 18299228 999991537 18274894 999981420 11013123 999982629 11010748 992126580 719854649 992127735 719852163 993363891 700604112 993365460 700602282 983752057 548541644 983753599 548539782 999974563 81182073 999978443 81181333 999990808 15677498 999991419 15672799 999991116 81537069 999993257 81535728 999999955 214331178 999999976 214194460 999987541 81166262 999988983 81164271 978103526 716052634 978105506 716051184 999170323 4803834 999172147 4802260 999997493 24760486 999999367 24758954 999974992 135241522 999976707 135239848 978578496 715749551 978580047 715747700 999993196 81513211 999993925 81509273 983647360 548916959 983648962 548915167 998991408 4946672 998993126 4945001 992144178 719848904 992145657 719846963 984079916 548838271 984081636 548836602 998829053 196277967 998830990 196276485 977986923 715738040 977988468 715736182 999983239 133220111 999984128 133216882 999997287 4645760 999999286 4644324 999997287 4576378 999999286 4574942 992075009 719755014 992076519 719753113 999999997 803814736 999999998 800944269 999999998 108894239 999999999 106023782 999972665 133261714 999974742 133260332 999999598 21395811 999999829 21383385 999132840 81560956 999135287 81559783 983754386 548488728 983755577 548486318 999999969 699003128 999999993 698883533 999994156 226683757 999994326 226666873 999999410 228666004 999999909 228660252 984086421 548723340 984087731 548721149 999999948 182900500 999999959 182639574 999993414 10979778 999994112 10975666 999981420 10248139 999982629 10245765 999998169 195957526 999999746 195955706 983834461 548502017 983836705 548500738 999999923 199168340 999999955 199078652 999999946 724741932 999999975 724642966 999999435 733053429 999999752 733044376 999165842 4839244 999167104 4836970 999991537 20068585 999995338 20067830 999980246 135252711 999981303 135249996 999999975 796643281 999999982 796233321 993370254 700674753 993371293 700671991 999998060 60151188 999999365 60148989 993102020 710123948 993103562 710122087 999999144 9200013 999999638 9194204 999999144 7920695 999999638 7914886 999993513 30048222 999995531 30046800 992097663 719749502 992099642 719748052 984089602 548576783 984091052 548574804 999999435 735387002 999999752 735377950 978577385 715756448 978580179 715755421 978010747 715863262 978013690 715862287 999999843 9425494 999999936 9394640 984079776 548698096 984081295 548696207 999975174 78115905 999976314 78113388 999999946 730064801 999999975 729965858 999981578 133232613 999982851 133230359 999996307 657464189 999997674 657462090 999996307 657158057 999997674 657155958 999999789 714820106 999999932 714800041 999999410 231190569 999999909 231184819 999120461 81579544 999122956 81578394 999999978 767405745 999999980 765971137 999999598 22853513 999999829 22841093 999993072 18969141 999994682 18967359 998854634 196254014 998856354 196252346 978579177 715740656 978581002 715739084 999993032 624915894 999996307 624915018 999999710 859296 999999947 847191 999999982 185350198 999999988 184872051 999999542 27749119 999999837 27739394 984068286 548955795 984069871 548953985 999998292 623967791 999999476 623965368 999999946 735592417 999999975 735493493 999156364 4947491 999158222 4945947 999144135 4972611 999146171 4971202 993349943 700629337 993351508 700627504 999998169 91079645 999999746 91077826 999972852 78079231 999974469 78077457 999999435 720419571 999999752 720410522 999999944 633738031 999999971 633631790 999999946 745087516 999999975 744988602 999998060 56074969 999999365 56072771 999999638 8047038 999999843 8033046 999999329 726809546 999999435 726782486 999999710 1668378 999999947 1656276 999999997 191833733 999999998 188965632 999999946 776611305 999999975 776512405 999976421 134199819 999978646 134198530 993156079 710133158 993158038 710131694 999996307 650284183 999997674 650282085 977997604 715749062 977999306 715747377 999993281 133269068 999994310 133266281 999995867 10956251 999996919 10953525 998825337 196280691 998827045 196279012 999999329 722044574 999999435 722017521 999999435 775099315 999999752 775090269 999999435 721489364 999999752 721480318 999999923 197394091 999999955 197304481 999984569 30808717 999985805 30806397 999999607 5635838 999999730 5612525 999999710 3667176 999999947 3655077 999999946 756424028 999999975 756325151 999999969 708973665 999999993 708854192 999145434 81565718 999147265 81564152 978026693 715747307 978028116 715745292 999999435 721777163 999999752 721768118 999999969 666014038 999999993 665894569 999999410 228872543 999999909 228866797 999999969 687196657 999999993 687077191 983979434 554664583 983980547 554662007 999996503 30245174 999997755 30242884 992106126 719876856 992107909 719875248 999998169 90964908 999999746 90963090 999999978 757649206 999999980 756215795 999990808 15485129 999991419 15480437 984075012 548723214 984076383 548721123 984060162 548449826 984062002 548448268 999995404 81170869 999996887 81168936 999994392 625355281 999995974 625353469 999990648 135211607 999994591 135210880 992116346 719865062 992117683 719862918 998852680 196264597 998854634 196263130 999998292 623847521 999999476 623845100 999027999 4948649 999029075 4945985 999999992 143595109 999999993 140728659 999999919 230604578 999999923 229887968 977359319 715072026 977360329 715069188 999999989 758880776 999999990 756014408 999997129 196206043 999999045 196204547 999999948 156071932 999999959 155811364 999999329 720862506 999999435 720835466 999999884 649674242 999999925 649604338 999999884 651422341 999999925 651352438 992123418 719846716 992124056 719842224 993329385 700592911 993330828 700590925 999998060 60458742 999999365 60456546 999998840 30451369 999999605 30447623 999999925 649993991 999999979 649940923 983758705 548502022 983759986 548499785 999999789 717570306 999999932 717550267 999999144 10696925 999999605 10690709 998755020 196297734 998756686 196296014 999993513 30017835 999995856 30016612 999991537 16321123 999992666 16318585 999999542 27727105 999999837 27717392 993326138 700594306 993328717 700593195 999996307 658063119 999997674 658061023 999996307 650534647 999997674 650532551 999999789 719596454 999999932 719576418 999986230 80955450 999987957 80953791 999999923 221189951 999999955 221100417 999999923 205493816 999999955 205404288 999999993 808805611 999999996 807850693 999162065 4956865 999164335 4955603 977322527 715064932 977324361 715063370 999999995 748175019 999999996 745310349 999999829 18536614 999999899 18495692 978503392 716062681 978505517 716061333 993369141 700684547 993371133 700683109 999998060 59967678 999999365 59965483 999999923 202612148 999999955 202522636 999999286 5615468 999999455 5598519 999142441 81565772 999144229 81564170 999999982 157817706 999999988 157340311 999993513 30093012 999995630 30091659 999999948 150513808 999999959 150253419 999999923 205710342 999999955 205620834 993238506 700590635 993240846 700589411 992132235 719880478 992135550 719879614 993134921 710131296 993136676 710129664 999999946 736024548 999999975 735925784 999981420 11060781 999982629 11058412 999981420 10893814 999982629 10891445 978107430 716024368 978108799 716022276 999999946 743562283 999999975 743463529 999996307 656941551 999997674 656939456 999996307 656559946 999997674 656557851 999999855 30416084 999999933 30379368 999998169 90930696 999999746 90928880 999987409 133267291 999988458 133264561 999995041 624797909 999996307 624795647 978117126 716008292 978118471 716006163 978493880 716047747 978495181 716045546 999999710 3764767 999999947 3752685 999998840 30692523 999999605 30688780 993360023 700601620 993361628 700599836 999973194 135227098 999974466 135224847 978028174 715745292 978030397 715744004 999998060 63337976 999999365 63335782 999998060 63079910 999999365 63077716 999998028 24951337 999999230 24948955 999991419 21748143 999991537 21723879 999999435 776685343 999999752 776676311 999999435 734364670 999999752 734355638 999994156 228527245 999994326 228510403 998930249 91966663 998930972 91962703 999999710 3396802 999999947 3384722 999981420 11109201 999982629 11106833 999989715 30758646 999991549 30757085 999999329 728710209 999999435 728683201 999999455 6285549 999999607 6266715 979498351 713844999 979500086 713843349 999996304 10947447 999999144 10946439 984082617 548848678 984083843 548846343 984067732 548592410 984069768 548591004 999999996 221144062 999999997 218281463 999999899 23996136 999999943 23931077 993357522 700630244 993359376 700628700 999999789 715666999 999999932 715646981 984053298 548464202 984054713 548462179 999993032 625352050 999994706 625350340 999996307 657502532 999997674 657500438 999996307 650796974 999997674 650794880 999999955 202939318 999999976 202803010 993161748 710135632 993162905 710133158 984092266 548844886 984093708 548842901 999999998 959938336 999999999 957075999 999999822 14525289 999999980 14507173 978116386 715950602 978117657 715948350 999999410 230803126 999999909 230797390 977332264 715060323 977333817 715058480 992066099 719747830 992067982 719746310 999999859 12189805 999999922 12144374 992130752 719744970 992132032 719742734 978112698 716064818 978114057 716062712 993328767 700621362 993330137 700619273 993163995 710117512 993165352 710115403 999999435 776478108 999999752 776469080 999998060 63708679 999999365 63706486 999998060 60137924 999999365 60135731 999981420 10538797 999982629 10536430 999999982 66954977 999999988 66478030 999972859 134200228 999975152 134198980 999999930 796648085 999999951 796511817 993326625 700604743 993329545 700603763 999992096 135239446 999995007 135238463 999999884 647221281 999999925 647151490 999990556 81504557 999993120 81503441 999990808 23675063 999991419 23670380 999140265 4977101 999141705 4975114 984095227 548571051 984097203 548569603 999999435 776775341 999999752 776766315 999973360 133240786 999975309 133239318 999996307 657790723 999997674 657788630 998991502 4974819 998994681 4973919 998859591 196278697 998861482 196277184 999999969 705674629 999999993 705555418 993099157 710136180 993100244 710133548 999997364 133247322 999998169 133243768 999999944 633559055 999999971 633453095 999999909 224376336 999999919 224090248 999128609 81580251 999131001 81579055 999991537 18985447 999993334 18983855 984031715 548449766 984032915 548447382 999999996 880458194 999999997 877597439 999990808 23980565 999991419 23975883 978101881 716052923 978103526 716051184 999997129 196217433 999999045 196215940 999997287 4359807 999999286 4358376 999989900 133251915 999991292 133249860 999998060 63298520 999999365 63296328 999990961 80959780 999993013 80958386 999999997 871600359 999999998 868740088 992142300 719862050 992144178 719860527 999999789 714075029 999999932 714055028 999990808 23298144 999991419 23293463 999999899 21681054 999999943 21616055 999994156 230038070 999994326 230021247 993098671 710159853 993100550 710158331 993354250 700677572 993356536 700676321 993161969 710122388 993163536 710120563 999996307 650408374 999997674 650406282 999994622 9052640 999996832 9051346 999008092 4973180 999010096 4971753 999164772 4821379 999166327 4819540 998998266 4974685 998999737 4972741 999980625 30750740 999983024 30749548 999999882 33007709 999999997 32982844 999999969 678887730 999999993 678768588 999995636 30130303 999996995 30128199 999999946 733089005 999999975 732990409 999999410 229958111 999999909 229952381 999999329 735029007 999999435 735002033 993351453 700624597 993352823 700622510 999999882 36877348 999999997 36852486 999999982 86893903 999999988 86417383 999998169 195751887 999999746 195750074 999999314 25414043 999999605 25404218 999999999 146184120 1000000000 143325095 999999435 721708086 999999752 721699067 999981952 133281084 999983844 133279573 999999329 776615760 999999435 776588791 999999730 5390963 999999894 5373532 999025479 91964619 999026971 91962703 999975221 133229372 999976883 133227652 999999975 805973921 999999982 805565544 999999605 11126216 999999836 11113841 999167497 4841478 999169972 4840323 999999925 652197577 999999979 652144640 984075570 548958903 984077116 548957054 999999329 730368987 999999435 730342020 984067201 548584272 984069044 548582721 999992683 80987725 999995884 80986832 984090407 548526601 984091421 548523782 999999882 34974785 999999997 34949929 999979607 134205170 999981398 134203574 999996307 657795355 999997674 657793264 999996307 657403667 999997674 657401576 999993032 624755012 999994271 624752705 999999410 227674233 999999909 227668505 999999923 228489709 999999955 228400389 999992911 64109451 999994472 64107620 999998292 624448485 999999476 624446071 999999882 38171811 999999997 38146958 999999455 5943370 999999607 5924567 999994156 227217685 999994326 227200873 999979289 133292513 999980648 133290410 999998060 64054725 999999365 64052535 978010747 715822612 978015726 715822038 984086126 554479763 984088482 554478550 999981789 133257732 999983574 133256131 999993032 624981683 999994727 624979997 978092228 716012084 978093909 716010384 978591984 715738067 978593500 715736182 999999976 208550137 999999984 208192934 999999822 12301551 999999980 12283465 999999969 662899851 999999993 662780785 983647224 548900232 983647906 548896042 999999969 676623287 999999993 676504223 999998169 195424556 999999746 195422744 999998169 90840564 999999746 90838752 999985125 30793506 999986771 30791770 984083913 554474107 984085061 554471618 999999605 25783567 999999895 25773714 999001745 4966062 999004403 4964987 984082208 548556657 984083081 548553384 993092573 710130053 993094120 710128206 983746900 548493675 983748415 548491789 999107543 81578218 999109364 81576649 993354558 700635831 993355900 700633702 999979120 81514929 999980307 81512522 999992660 20198755 999994159 20196849 999999925 642431146 999999979 642378237 999999891 6974171 999999949 6924911 999999930 807158200 999999951 807022153 999999641 657098813 999999644 656146491 983976722 554667299 983978642 554665811 999999944 623662384 999999971 623556572 999114407 81576115 999116409 81574688 999999410 228605074 999999909 228599349 999997129 196026142 999999045 196024651 998840787 196274784 998841899 196272215 993091857 710172138 993093638 710170534 999991537 20307573 999992996 20305615 999999946 760406634 999999975 760308127 978118552 715939429 978119718 715936979 999998060 63380916 999999365 63378727 998754283 196291007 998755896 196289236 999999329 733835386 999999435 733808437 998866804 196273455 998868407 196271673 999998840 30013644 999999605 30009910 999999435 776721814 999999752 776712803 999999882 31489213 999999997 31464375 999999710 1088551 999999947 1076499 983832772 548509831 983834610 548508277 993347569 700645515 993350187 700644424 992073017 719746668 992074638 719744906 999999598 21111540 999999829 21099177 993140190 710119032 993141864 710117326 998747391 196296014 998749683 196294768 999999144 7470907 999999638 7465126 999993032 625139481 999994098 625136802 999999969 719565606 999999993 719446614 999984859 135216875 999986567 135215203 984040397 548457488 984041713 548455318 999015640 4957851 999017216 4956039 999994156 223924541 999994326 223907743 999999982 736020583 999999983 733164943 999999975 936219805 999999982 935811865 999999730 5332655 999999894 5315243 999999435 773728550 999999752 773719542 999999884 647334614 999999925 647264967 999991537 18969141 999992566 18966366 984071083 548560339 984072993 548558844 999994156 223251330 999994326 223234534 999976096 81518460 999978625 81517331 998891876 91966663 998892597 91962703 999999946 744850052 999999975 744751600 999999925 649906225 999999979 649853353 993150561 710110606 993152648 710109238 983649999 548902621 983651554 548900785 999974296 135209863 999976328 135208458 999999410 227719364 999999909 227713643 999976314 78115905 999977848 78114044 999999899 19328755 999999943 19263875 999999976 205669754 999999984 205312917 978683847 715810007 978685639 715808414 999994156 227200873 999994326 227184081 999998292 624147562 999999476 624145151 999999988 770382821 999999989 767528242 983650172 548936571 983651823 548934842 999991559 133292884 999993079 133291006 999994314 24749579 999995964 24747849 999981420 10433881 999982629 10431520 999981420 10169269 999982629 10166908 999999999 193067696 1000000000 190213283 998989701 4975488 998990911 4973129 999998169 195759571 999999746 195757761 999999948 74129392 999999959 73869907 999999144 9485914 999999638 9480136 999978063 133260273 999981238 133259374 983745794 548548429 983746944 548545947 999999789 718836186 999999932 718816226 999999435 772368044 999999752 772359040 999999435 719898598 999999752 719889594 983656085 548945404 983658755 548944335 999174587 4817170 999175469 4813934 999993513 30210414 999994612 30207817 999971889 81517217 999973625 81515573 999994156 227279550 999994326 227262762 999999435 735214464 999999752 735205461 999999948 165122806 999999959 164863366 999994156 228777210 999994326 228760423 999991537 16299331 999992577 16296587 993122149 710134685 993123789 710132945 999999919 228364238 999999923 227650860 999991419 15574493 999991537 15550311 999998292 623946725 999999476 623944315 999998292 623725709 999999476 623723299 999999948 107255816 999999959 106996422 978687056 715781568 978688492 715779581 999999598 18407772 999999829 18395420 999999993 785399691 999999996 784448589 999999956 20443769 999999970 20239963 998918434 1927 998919931 21 993227042 700596450 993229375 700595227 999981420 11117293 999982629 11114933 978107486 715936395 978109020 715934535 999999455 4915548 999999607 4896777 993356450 700664340 993357936 700662420 999999435 776491420 999999752 776482420 984069515 548727550 984070574 548724856 984100560 548454460 984102826 548453201 999999995 685334286 999999996 682481400 999112562 81583242 999115381 81582230 999990808 23521240 999991419 23516571 978101279 716010384 978103162 716008869 999998060 63782498 999999365 63780312 999998060 62817204 999999365 62815018 977337567 715061380 977339214 715059648 999997287 4944860 999999286 4943433 999988178 81527887 999990417 81526613 999024329 4974463 999025892 4972638 999999410 228469175 999999909 228463459 992080600 719741124 992082084 719739202 999990808 23660839 999991419 23656171 999999717 13927430 999999822 13900267 999974735 81182754 999978923 81182073 999999789 713639187 999999932 713619243 999999598 18603812 999999829 18591466 999999882 30993777 999999997 30968978 999999605 26204299 999999895 26194465 999984128 133227609 999985444 133225442 999999435 732957752 999999752 732948756 978111969 716001885 978113810 716000336 999999969 687459652 999999993 687340831 999999598 24002287 999999829 23989942 999991537 20079858 999992856 20077696 999999710 1423617 999999947 1411585 999998060 62811519 999999365 62809334 999998060 56477560 999999365 56475375 999999286 5007347 999999455 4990475 983975216 554647550 983976685 554645609 999994156 229861572 999994326 229844800 999999837 27121876 999999983 27102347 999999841 656652295 999999884 656585989 999994859 24994555 999996761 24993056 983755466 548520509 983757488 548519099 999999605 10812126 999999836 10799784 999975127 78095442 999977589 78094284 999990495 133262260 999992071 133260451 978093669 716031083 978095367 716029404 999990808 23862344 999991419 23857678 978118040 715899620 978119718 715897921 999999998 708481398 999999999 705630505 992121563 719744165 992122697 719741651 999981420 10354943 999982629 10352585 978106540 716022058 978108147 716020284 993353378 700662150 993355468 700660786 999999605 25754484 999999895 25744654 998874892 196277665 998877757 196276670 978108579 715934535 978109596 715931732 992079798 719753628 992082084 719752381 999980533 30808148 999982161 30806397 999997287 4413452 999999286 4412026 999997048 10893099 999999144 10891739 999999976 227506907 999999984 227150609 999999144 9054636 999999638 9048866 999999598 20891524 999999829 20879185 999996307 651232821 999997674 651230736 999996307 650204656 999997674 650202571 999951563 3182 999952459 1 984071622 548840227 984072360 548836365 999990110 30745841 999991696 30744044 983645166 548916046 983647360 548914747 999999982 79291111 999999988 78816116 999992531 134201206 999993974 134199231 999998292 624839979 999999476 624837572 999998292 624667888 999999476 624665481 999985399 133214014 999986550 133211538 999993326 135243318 999996156 135242311 977344086 715059328 977346050 715057877 999991537 20107743 999992915 20105675 993091857 710136180 993092573 710132200 999999997 948757700 999999998 945908062 999993187 81148803 999996440 81147927 984098534 548473673 984099279 548469848 983765903 548504656 983767702 548503072 999981420 10710488 999982629 10708131 999999149 26298030 999999314 26280760 999994156 230800096 999994326 230783334 999994156 225929080 999994326 225912318 999999638 9906441 999999843 9892541 999976432 78087731 999978178 78086099 999999789 712785704 999999932 712765778 999999948 82817839 999999959 82558802 993100899 710125531 993102699 710123948 984075094 548464543 984076249 548462076 999999435 772603121 999999752 772594133 999971889 135196287 999974373 135195140 978111037 716026363 978113620 716025260 983754946 548509209 983756813 548507683 993369529 700664525 993372378 700663525 999999948 149471640 999999959 149212643 999999841 653908307 999999884 653842053 999971889 80987339 999973149 80985078 999999329 729029343 999999435 729002467 999996307 657646081 999997674 657643997 999996307 650550363 999997674 650548279 999998060 63633248 999999365 63631065 999998060 60062448 999999365 60060265 999999410 227713643 999999909 227707934 999999975 994278864 999999982 993871896 999999946 769867206 999999975 769768974 984069506 548961057 984071487 548959619 999997287 4468010 999999286 4466585 999999605 30334180 999999855 30322786 999993294 18911049 999995033 18909411 993096919 710181392 993098379 710179441 983751815 548512741 983753272 548510786 999999999 875498181 1000000000 872649751 999999999 657944981 1000000000 655096628 999999999 828113666 1000000000 825265387 984059038 548457417 984060162 548454883 992063486 719743986 992066099 719742896 999998169 91301341 999999746 91299535 999999455 6805619 999999607 6786882 999999955 210455232 999999976 210319612 998997134 4950050 998998993 4948518 999974779 80956238 999975994 80953894 998992692 4968518 998994418 4966868 993101890 710127447 993103755 710125920 999997640 24948955 999999367 24947306 999999410 228207379 999999909 228201672 999972859 134198309 999979607 134197887 999993166 20204270 999994847 20202576 978112192 715923061 978113953 715921444 977975598 715740266 977977414 715738698 999996307 650640816 999997674 650638733 983759246 548515133 983760613 548513050 999999329 775849823 999999435 775822961 993357082 700681692 993358555 700679759 999999598 20903850 999999829 20891524 999990808 24296904 999991419 24292244 998862705 91966663 998863424 91962703 993365594 700648223 993367007 700646208 999999975 988126459 999999982 987719721 978578405 715800440 978580068 715798728 978112065 715882693 978113519 715880735 999999992 166259940 999999993 163413078 983760282 548519247 983762360 548517877 999999983 730339643 999999985 728916242 999999989 104566180 999999990 101719399 999993588 29981295 999994927 29979169 999994156 221074722 999994326 221057977 999140265 4960485 999142867 4959391 999999314 25563821 999999605 25554039 999998169 91195971 999999746 91194166 999991491 80995179 999992451 80992214 979517527 713844667 979520256 713843624 999998292 623728113 999999476 623725709 999998292 623564225 999999476 623561821 999999884 644345529 999999925 644276107 999995818 24887712 999999367 24886910 999999410 229539671 999999909 229533967 999999410 227323310 999999909 227317606 999999986 721773663 999999988 720350580 999991419 18743742 999991537 18719622 999999855 30632639 999999933 30596150 999999789 715549752 999999932 715529849 999996307 651047583 999997674 651045501 999999969 719125876 999999993 719007290 998992460 91963522 998995935 91962703 999985763 81535728 999990845 81535168 984045275 548466025 984046499 548463700 998735777 196284963 998737538 196283347 999999605 25235849 999999895 25226036 977317733 715060483 977318825 715057877 999999969 717007961 999999993 716889395 983764650 548501585 983765903 548499314 999992850 16302651 999994558 16300985 999981887 80960207 999983840 80958750 983765226 548516621 983767146 548515139 984088402 548701896 984089450 548699181 999999948 193198811 999999959 192940146 984089672 548727051 984090862 548724660 999994156 222126542 999994326 222109806 999993032 624955661 999994785 624954038 999151797 91964441 999153434 91962703 978099189 716021917 978100282 716019314 999999435 721369310 999999752 721360335 999146171 4972611 999148385 4971326 984075142 548467113 984076249 548464543 999998169 195466026 999999746 195464222 999998060 59885863 999999365 59883683 999980154 78068401 999982900 78067365 999995884 80989824 999998169 80988579 999990808 24353872 999991419 24349216 999990808 23433347 999991419 23428691 999999410 228802277 999999909 228796576 999999983 638964508 999999987 638253310 999982177 135257278 999984071 135255776 999999435 775454002 999999752 775445028 999996307 657660773 999997674 657658692 983639661 548924143 983641230 548922330 999997287 4937925 999999286 4936502 999137034 81582706 999138445 81580690 999999789 714600055 999999932 714580163 999999998 844550243 999999999 841705764 999999144 9935740 999999638 9929982 992134521 719889593 992138149 719888809 999996200 11102298 999997352 11099829 999984960 135214384 999986640 135212691 993359919 700608517 993361599 700606824 977973806 715745775 977975100 715743577 984068679 548958759 984070439 548957143 999971889 135252077 999974552 135251009 999999837 28401179 999999983 28381699 999993414 9078246 999995493 9076878 984024540 548463274 984026044 548461383 983979100 554660382 983981416 554659154 984003621 548458476 984005421 548456896 999994397 625088810 999996307 625087321 998741828 196288108 998743279 196286148 978107697 716002587 978111748 716001885 999995470 30134256 999997220 30132631 999999997 66961216 999999998 64117499 999999996 179128701 999999997 176284993 999999975 785704708 999999982 785298465 999999975 901093423 999999982 900687188 983834610 548509831 983835652 548507102 999999882 35549782 999999997 35525055 999998060 62771172 999999365 62768993 983654266 548918668 983655785 548916796 999981420 10973491 999982629 10971139 999981420 9624970 999982629 9622618 999999435 774421585 999999752 774412615 999972865 135234542 999974767 135233047 999991537 20250817 999993683 20249492 984086386 548588728 984087755 548586651 999997129 196236344 999999045 196234860 999992303 18931497 999994926 18930413 978103895 715983173 978106036 715981845 983754648 548541256 983756892 548539989 993357936 700667628 993359781 700666087 993337811 700605619 993338970 700603166 999990808 24526585 999991419 24521932 993372117 700657323 993373025 700654192 999983213 80952314 999985190 80950876 999999435 720883295 999999752 720874327 999991419 23902554 999991537 23878462 999993709 624934693 999995781 624933321 999998292 624216275 999999476 624213874 999118872 81560861 999120173 81558676 999997287 4538545 999999286 4537123 999992066 20064585 999993532 20062646 999999993 914335320 999999996 913387833 999997472 196238184 999999045 196236377 999973872 133229797 999980560 133229372 999994564 625341870 999996039 625339943 999999969 710997800 999999993 710879370 999998060 62755399 999999365 62753221 999998060 59836784 999999365 59834606 992142446 719872133 992144178 719870492 999987802 135192403 999988794 135189538 999999975 819635304 999999982 819229297 999996307 657600478 999997674 657598399 999996307 657281067 999997674 657278988 999999909 225639746 999999919 225355552 999996463 30061420 999997633 30058991 992062679 719741464 992065272 719740368 999997574 4421903 999999286 4420243 998742251 196286148 998744002 196284525 998849518 196261865 998851949 196260696 999996570 81541210 999997879 81539039 993347584 700676200 993349770 700674900 999991822 81155519 999994008 81154219 999998169 195910358 999999746 195908556 999979208 78108185 999980220 78105377 999999946 738561698 999999975 738463713 992114974 719859495 992116626 719857775 999993939 20234502 999995338 20232471 999981323 81177941 999982647 81175795 999999329 720636257 999999435 720609453 978579578 715758987 978580697 715756448 999993414 10989854 999993986 10984887 999999975 815442458 999999982 815036591 999998060 63539882 999999365 63537705 999994233 16313244 999995338 16310673 999999435 774495962 999999752 774487000 999994156 225593850 999994326 225577139 998820836 196271044 998822396 196269223 999999955 228228068 999999976 228092796 999997287 5150374 999999286 5148953 999997287 4833349 999999286 4831928 999997287 4367237 999999286 4365816 992131244 719865062 992132609 719862981 999999542 28455167 999999837 28445538 999973443 81544832 999974746 81542652 999999882 38453291 999999997 38428591 999999149 26269867 999999314 26252652 999998840 30608476 999999605 30604763 999994314 24689044 999997069 24688013 999999946 727169069 999999975 727071127 998960591 91966663 998961497 91963528 999991419 17757875 999991537 17733805 992127087 719881350 992128799 719879691 999998169 195353505 999999746 195351704 999995568 30040190 999997588 30038784 999995906 30046800 999998840 30045832 999978927 133283344 999981110 133282043 992047975 719880860 992049935 719879411 984073532 548466307 984075142 548464543 999999976 225318982 999999984 224963989 999981420 9789779 999982629 9787430 992062296 719751298 992064202 719749808 999994314 24717302 999999367 24716740 999996023 135202477 999997568 135200639 978012174 715850405 978014355 715849103 984093038 548853583 984094688 548851862 993231019 700625148 993232368 700623043 999977852 133270066 999979745 133268566 999112481 81566721 999113953 81564792 993127010 710111111 993128526 710109238 999999045 196152120 999999639 196147340 978685616 715756793 978688070 715755636 999147301 81567437 999149351 81566052 993148270 710125341 993149113 710121973 993328332 700624625 993330014 700622937 983762423 548509532 983763399 548506623 999999982 111168276 999999988 110695082 999027654 4959243 999029075 4957245 992056854 719741332 992057859 719738507 992129465 719748478 992130752 719746272 999999435 732764434 999999752 732755478 999993759 16352868 999995338 16351070 999996363 81521369 999998169 81519797 999107543 81580347 999109364 81578788 999981303 135250933 999983117 135249368 998861365 196266035 998862131 196262329 992123137 719856151 992125027 719854649 999999314 26125116 999999605 26115361 999999969 695571603 999999993 695453324 999999923 219755604 999999955 219666896 999998169 90618455 999999746 90616655 999997287 4665252 999999286 4663832 999999121 25575325 999999149 25473950 999999638 8828525 999999843 8814679 978104492 715895076 978105662 715892650 999998060 63137279 999999365 63135104 999994156 222068078 999994326 222051382 993163904 710132803 993165358 710130851 999999969 682065670 999999993 681947413 992120537 719850691 992122493 719849240 993233227 700607758 993235877 700606687 999999989 154175046 999999990 151336909 999999144 7631842 999999638 7626097 999168520 4803834 999170323 4802260 978015021 715847174 978017908 715846191 999999367 24715317 999999638 24704845 999996307 657430300 999997674 657428224 999999982 173682420 999999988 173209461 993120689 710116816 993122110 710114819 999999329 720053327 999999435 720026556 999981420 11085394 999982629 11083047 999995022 80969329 999996061 80966598 999997858 4767081 999999286 4765094 977971750 715742393 977973662 715740909 984080896 548715136 984082775 548713626 999026158 4953511 999027736 4951713 999993895 30120004 999996787 30119023 999998169 91033107 999999746 91031308 999999930 806678549 999999951 806543457 999997232 24674078 999998338 24671513 999998292 624364249 999999476 624361853 999971889 78109154 999973600 78107496 999979916 81154409 999980816 81151257 999999965 7856334 999999975 7572664 999971935 134203258 999972859 134200188 999004403 4962271 999006056 4960555 999996307 650318466 999997674 650316391 999999410 228547818 999999909 228542134 977357453 715076332 977359002 715074501 999999944 620456718 999999971 620351676 999993443 625206258 999995443 625204840 999999789 715338493 999999932 715318661 999994774 24923741 999996561 24922154 999999982 771355751 999999983 768519853 999151864 81573703 999153478 81571946 999998060 59949808 999999365 59947635 984098142 548825477 984099594 548823524 999997129 196138214 999999045 196136734 999999435 777679881 999999752 777670936 999999435 774027856 999999752 774018911 999999329 777800324 999999435 777773574 999986663 81144489 999987768 81141923 999999286 5269962 999999455 5253185 983650669 548916383 983652195 548914525 999980939 81175012 999982647 81173352 999991537 18894753 999992824 18892550 999994156 223584493 999994326 223567815 992144178 719884536 992145657 719882619 999999710 3964790 999999947 3952827 999991419 22040128 999991537 22016101 977353715 715064707 977355373 715062997 999999925 646520877 999999979 646468374 999996307 650742368 999997674 650740294 999999989 777800324 999999990 774965171 983654393 548951451 983655602 548949106 977319302 715074235 977321279 715072801 999993032 624898315 999994026 624895463 999972048 133233436 999973799 133231817 999999969 695453324 999999993 695335205 999999975 865533832 999999982 865128864 999025473 4972419 999029075 4971632 984066214 548833743 984068373 548832430 999999329 721668650 999999435 721641907 998860349 196255024 998861799 196253069 999997068 24784053 999999367 24782820 984066214 548585593 984067201 548582721 999999314 25650483 999999605 25640742 999994156 226005841 999994326 225989167 999008672 91966663 999010100 91964678 999172083 4839367 999173459 4837307 999990808 23857678 999991419 23853039 999993744 624803601 999995235 624801700 992097322 719753424 992099724 719752244 999999882 33573698 999999997 33549052 999999884 655075150 999999925 655006022 999106737 81573914 999108217 81571999 999984080 135242315 999985343 135240071 999999882 33161876 999999997 33137232 983755287 548522328 983756845 548520509 993118921 710123448 993120443 710121586 999999841 657626957 999999884 657561051 999999598 17968937 999999829 17956669 999995446 133249564 999996710 133247322 999998169 91143620 999999746 91141823 999972848 78089757 999974514 78088056 992134905 719753139 992136738 719751593 999149175 4950745 999151271 4949393 999986443 80956465 999990003 80955669 999999822 12672483 999999980 12654548 983979589 554695198 983981416 554693647 998820748 196278853 998822611 196277332 999992679 16372916 999994338 16371208 978685499 715793593 978687814 715792369 978096225 716021729 978098808 716020632 999996011 134193572 999998169 134192259 999986306 26687998 999988200 26686502 978004877 715745945 978006684 715744377 999999435 771302731 999999752 771293793 999995691 30200633 999997709 30199229 999990808 23240919 999991419 23236282 984066680 548704370 984069041 548703170 999993513 30115349 999994887 30113287 993143555 710128703 993145207 710126988 999998060 62788922 999999365 62786751 983976974 554604342 983978455 554602429 984041758 548459683 984043269 548457808 998850030 196266035 998851341 196263874 978026933 715840247 978029766 715839247 999999925 648147434 999999979 648094972 999996048 30086762 999997913 30085243 977996328 715748889 977996901 715743945 999999931 634323562 999999944 634105646 999999946 740111016 999999975 740013331 992124813 719861999 992126704 719860501 999983844 133280935 999985074 133278632 999981420 10696529 999982629 10694186 992055952 719742424 992058546 719741332 999999999 71014715 1000000000 68182075 999990808 23793429 999991419 23788793 999990808 23201217 999991419 23196581 999994384 625165045 999996307 625163572 984102157 548500380 984102826 548496146 984080456 548699467 984082522 548698096 999996307 657260226 999997674 657258154 999999435 777248212 999999752 777239277 999999410 230843224 999999909 230837548 999998169 195627888 999999746 195626092 999998169 195601935 999999746 195600139 978101858 716043270 978103556 716041602 992047975 719844148 992049935 719842703 999991848 30791291 999993513 30789590 983836450 548527841 983837932 548525930 999999435 734686889 999999752 734677955 999981121 133287643 999981952 133284235 999971889 81178868 999973458 81177063 999990808 16468473 999991419 16463838 999999948 139195196 999999959 138937746 999999993 968066982 999999996 967123004 999999829 24218765 999999899 24178309 999999944 619315685 999999971 619210801 999996652 133287643 999997828 133285235 984082255 548574275 984084107 548572746 999999045 196157343 999999639 196152576 999981420 10588920 999982629 10586578 999999975 824240644 999999982 823836177 999973290 135199892 999975381 135198538 999999969 669019954 999999993 668901988 999999829 23806070 999999899 23765625 999999598 23075160 999999829 23062904 999999435 732106090 999999752 732097159 999106128 91965420 999107170 91962703 999993865 16359566 999995338 16357644 999996307 651027448 999997674 651025377 977335126 715069624 977336609 715067715 999993219 20282273 999995338 20280937 993237145 700595534 993238831 700593855 984097442 548511730 984099956 548510604 983641297 548954178 983642823 548952323 999998169 91521169 999999746 91519374 999999923 230145703 999999955 230057245 993349770 700674116 993352253 700672976 999999149 26556653 999999314 26539498 998756314 196281373 998758041 196279734 999999542 28953569 999999837 28943974 999116224 81580347 999117056 81576945 999999993 977558099 999999996 976614613 999993032 625376894 999995377 625375687 999976357 80953791 999977347 80950932 983759279 548553384 983760430 548550925 999999948 88084121 999999959 87826822 999999542 27948984 999999837 27939390 992080042 719755014 992082084 719753628 993357832 700622947 993359303 700621023 999982229 135227298 999984080 135225769 984076313 548700995 984077842 548699144 983647360 548913679 983649335 548912246 983656876 548909895 983658176 548907718 999999983 623990545 999999987 623283029 978022081 715843506 978023655 715841708 999991419 18794838 999991537 18770855 999182998 4837697 999184788 4836116 999999542 28889304 999999837 28879711 999999975 881656152 999999982 881251888 999181148 4830888 999183113 4829448 984091819 548592622 984093634 548591063 999980398 30777985 999981505 30775429 978018212 715836263 978019560 715834164 999999638 8265204 999999843 8251402 999999946 733357138 999999975 733259573 993238665 700621046 993240699 700619655 999998060 63209920 999999365 63207752 999998060 60379273 999999365 60377105 999998060 56507718 999999365 56505550 999999979 656751949 999999997 656594770 999999045 196102388 999999639 196097625 999990518 81135870 999992131 81134116 992137291 719844915 992139474 719843619 999996849 11021765 999998572 11020123 999998169 195967263 999999746 195965469 999998169 195848397 999999746 195846603 999998169 195332974 999999746 195331180 998989701 4948934 998990596 4945773 999993529 10899224 999995092 10897414 999996061 80967892 999998169 80966550 999990808 15955519 999991419 15950889 978580026 715776737 978581996 715775301 999993032 625198983 999994450 625196988 999999884 645426742 999999925 645357746 999994333 11034094 999995997 11032394 999999946 763025789 999999975 762928250 977307213 715073942 977308724 715072070 999997287 4755911 999999286 4754496 998844432 196280678 998847227 196279666 999981767 80994802 999983424 80993095 984071432 548460895 984074336 548459921 999999789 713464207 999999932 713444428 999999410 231177838 999999909 231172170 999999410 227738793 999999909 227733125 999996307 657565417 999997674 657563348 999996307 650775828 999997674 650773759 999996307 650690117 999997674 650688048 999996307 650668503 999997674 650666434 999993647 30012864 999994757 30010316 978106229 715942480 978107156 715939429 999984084 134201997 999986297 134200719 999991419 20714232 999991537 20690265 999999975 869595249 999999982 869191234 993135869 710122246 993137683 710120687 999998060 56663137 999999365 56660970 999998060 56609838 999999365 56607671 999998060 56089772 999999365 56087605 999998260 11029334 999999144 11026135 999999946 749485261 999999975 749387747 999978474 81136115 999980507 81134724 978112024 715929441 978112876 715926122 983755553 548544657 983756897 548542553 998741763 196273437 998743501 196271810 984073082 548954588 984074608 548952735 999999936 8971627 999999965 8874121 999998169 91620176 999999746 91618383 999999997 70618359 999999998 67790841 999999930 801785083 999999951 801650441 999998840 30034468 999999605 30030772 984098802 548479297 984100842 548477911 999998292 623694714 999999476 623692326 999996545 81147437 999998169 81145696 999130463 81571545 999131821 81569463 993145499 710116156 993146814 710114006 999999329 728453846 999999435 728427174 983655097 548916796 983656600 548914915 999999975 949065336 999999982 948661473 999999996 982489428 999999997 979662392 984090487 548492878 984091951 548490947 984095717 548504005 984097875 548502695 999996307 658054619 999997674 658052551 999977353 30788121 999979620 30786874 999996968 30053338 999998840 30051828 999025473 4968842 999028311 4967846 999998060 63925018 999999365 63922852 999998060 63697576 999999365 63695410 999999989 772585844 999999990 769759231 999973834 133213874 999975545 133212222 999999598 22369519 999999829 22357283 999990808 16528406 999991419 16523780 984088371 548822881 984090105 548821251 999999979 19632697 999999980 16806283 999999410 227540483 999999909 227534819 999993032 624892966 999996307 624892103 999035952 91963825 999038471 91962703 999991419 16979187 999991537 16955236 978112696 715890075 978114414 715888430 999997129 196031098 999999045 196029623 978580599 715749112 978582427 715747566 999998169 91310125 999999746 91308333 983748167 548488187 983749679 548486318 999999638 8422521 999999843 8408736 999994314 24820311 999996122 24818748 999114369 81563665 999116090 81562023 999994154 10900632 999996161 10899224 999991419 18047812 999991537 18023865 999999930 806532459 999999951 806397901 999986663 81134849 999990518 81134116 978116710 715971110 978118976 715969863 984078089 548828914 984080355 548827667 999999948 138543359 999999959 138286480 999141794 81583772 999143518 81582133 978112919 716062712 978114695 716061121 999996307 650703599 999997674 650701532 999991537 20160477 999992980 20158519 984079833 548848678 984081912 548847319 999998060 62989648 999999365 62987483 999998060 59930508 999999365 59928343 999998060 59894061 999999365 59891896 999998060 56087605 999999365 56085440 979513483 713837232 979517301 713836492 998994681 4976784 998997481 4975775 999999598 18108692 999999829 18096462 999999435 775645328 999999752 775636416 999996796 30064983 999998110 30062833 984100868 548557603 984102523 548555896 999994156 228972705 999994326 228956088 999999410 229281533 999999909 229275872 999148752 4958066 999150744 4956648 999994314 24838604 999999367 24838045 977958118 715784297 977959765 715782582 983973109 554667541 983974269 554665106 999999329 776430676 999999435 776404029 999007586 4953451 999008326 4949634 999999588 7069837 999999891 7060515 998739919 196315126 998740895 196312232 999999982 114733552 999999988 114262800 999175880 4806962 999177836 4805518 999998169 90641245 999999746 90639454 999994503 9058926 999995795 9056740 978118093 715921213 978119718 715919475 999999980 22876839 999999981 20052589 999999843 7508394 999999936 7478026 999996307 656968222 999997674 656966156 978105051 715998819 978106804 715997208 999994314 24850973 999995156 24847619 998844111 196271511 998845958 196269982 999038471 91966663 999041069 91965576 999998060 62851665 999999365 62849501 999999969 668259719 999999993 668142053 999975221 135231289 999977257 135229902 999991419 16200946 999991537 16177015 999103314 91966111 999104721 91964104 999998292 623924924 999999476 623922539 999993032 625298054 999993972 625295050 993330550 700611844 993332580 700610453 978490015 716049909 978491118 716047349 999999329 728403560 999999435 728376922 999999996 891398466 999999997 888574846 978113978 715936591 978116155 715935294 978090830 716033566 978093262 716032405 983836314 548534469 983838209 548532979 999994156 229180934 999994326 229164325 999999329 731015463 999999435 730988826 998851341 196263130 998853573 196261865 998997134 4947267 998999204 4945903 999999638 10215470 999999843 10201697 993165770 710110550 993167922 710109238 978577385 715771722 978578557 715769313 999991537 20154519 999993143 20152761 999999975 944623968 999999982 944220641 999999882 33924052 999999997 33899502 984092864 548523782 984095006 548522464 998745100 196280778 998745623 196275380 999999990 73457298 999999991 70634152 999999923 206400211 999999955 206311988 999999946 756261393 999999975 756164047 999981420 9839239 999982629 9836904 999999955 210319612 999999976 210185187 999996307 650736483 999997674 650734418 999977427 78073911 999978898 78071992 999999410 230331351 999999909 230325694 999999410 227958474 999999909 227952817 999998169 91533708 999999746 91531918 999999955 226153522 999999976 226019105 999999930 805716712 999999951 805582298 984092695 548589051 984094279 548587269 999999948 148697008 999999959 148440403 978014878 715867423 978015614 715863588 999999996 827929116 999999997 825106631 999999955 221356099 999999976 221221695 983763022 548499314 983765054 548497925 999147661 4960356 999148752 4957769 978107628 716057162 978111970 716056512 993106806 710128604 993108444 710126881 999999931 625285039 999999944 625067945 999999948 159503044 999999959 159246482 984094970 548453184 984095767 548449643 999999923 212456587 999999955 212368395 983643111 548961057 983644527 548959064 999167451 4831525 999169345 4830035 999999999 97511524 1000000000 94689477 999993414 10885926 999995022 10884171 999990849 133267291 999992233 133265252 999999982 190186617 999999988 189716312 999986933 81170782 999989842 81169812 999999996 150001186 999999997 147179509 999999992 106552217 999999993 103730585 999999435 720491010 999999752 720482109 999990305 133270280 999991517 133267952 984086191 548524973 984088560 548523782 999999985 724144412 999999986 721322960 983765903 548492747 983768848 548491789 999993315 625070207 999995127 625068650 984093879 548489031 984095056 548486634 998754283 196292392 998756320 196291007 999999598 21718546 999999829 21706333 999999946 768932931 999999975 768835649 999991537 16257036 999992670 16254546 999999882 32279448 999999997 32254917 999999982 149669583 999999988 149199407 999999993 865989097 999999996 865048764 984091378 548502707 984093270 548501216 999999982 87774251 999999988 87304091 984095297 548465096 984096737 548463137 999995737 24912501 999996827 24909913 999995428 24926971 999996689 24924734 984011738 548448950 984013537 548447382 999999995 694050531 999999996 691229748 993103340 710135632 993104205 710132371 992066099 719742600 992067982 719741102 999999975 908348156 999999982 907945198 999991419 20868224 999991537 20844320 999999435 720614573 999999752 720605675 999994156 223059737 999994326 223043145 993097318 710111343 993099040 710109705 999984071 135256696 999985871 135255129 999997287 4822828 999999286 4821417 999985560 133295546 999990679 133294995 984084972 548573686 984086414 548571730 998745848 196258229 998747429 196256445 984050856 548461610 984052416 548459802 993351261 700638848 993352921 700637149 999999829 21528228 999999899 21487938 999998292 623915493 999999476 623913111 999999598 20591126 999999829 20578917 998759337 196302216 998760581 196299949 999999329 732730957 999999435 732704352 999994156 229067802 999994326 229051213 999996307 650474354 999997674 650472291 999998060 59924265 999999365 59922104 984074887 548567959 984076264 548565911 993342072 700613593 993343510 700611632 999991114 30807061 999992446 30804944 978601149 715741699 978602601 715739757 999990808 23699053 999991419 23694438 977996901 715746699 977999589 715745650 999999969 683431168 999999993 683313681 999976781 135189538 999978172 135187511 999999975 953102451 999999982 952699660 999999149 25737064 999999314 25719976 999999314 25348667 999999605 25338978 999997770 4355491 999999261 4353600 999999998 692442711 999999999 689623267 999999995 67169565 999999996 64350175 999999598 19404774 999999829 19392569 999999841 657982581 999999884 657917017 999994314 24847619 999995777 24845692 999996932 135256241 999998169 135253962 999998292 623830433 999999476 623828052 999982900 78082112 999984727 78080569 999999981 749575318 999999982 746756304 999997823 10877794 999999144 10875660 999999946 734392205 999999975 734295003 983973889 554625866 983975386 554623983 999999955 223456812 999999976 223322585 999994314 24674078 999995976 24672382 983651006 548957851 983653074 548956488 999999607 6357786 999999730 6334870 993372063 700648747 993373025 700645817 999995258 24794820 999996324 24792176 999999435 777015955 999999752 777007064 999999598 24135177 999999829 24122976 999994156 230473427 999994326 230456848 999154626 4944682 999156280 4942978 999990317 30776624 999992306 30775207 999999710 1887878 999999947 1875986 999999923 207547817 999999955 207459745 984036249 548452425 984038376 548451100 999993279 64097917 999994725 64095968 999995834 24909890 999997787 24908447 999981420 10004157 999982629 10001826 998917421 2783 998918434 1 999999969 699661120 999999993 699543699 999998169 195953313 999999746 195951526 999987430 81168893 999988697 81166669 983971368 554695824 983973657 554694593 999109364 81576945 999111611 81575691 999999983 624764031 999999987 624059608 993160382 710110766 993162226 710109238 999999975 896824524 999999982 896422008 999999435 772594133 999999752 772585245 993130862 710118006 993132033 710115600 999993513 30038692 999995568 30037321 999999410 230572763 999999909 230567117 984089028 548492878 984090487 548490947 978105647 716038369 978107534 716036876 999994766 29986173 999996186 29984189 998837017 196272636 998839121 196271297 999995117 30056725 999996968 30055203 978621442 715740183 978622382 715737186 999111175 81567853 999112481 81565696 999999931 637288571 999999944 637071878 999999991 18196176 999999992 15379284 999999314 25526549 999999605 25516869 978683847 715778913 978685710 715777401 992107650 719748789 992109907 719747541 999145875 4977101 999147716 4975571 992125667 719753362 992127714 719751986 978106463 715903640 978107970 715901771 984081986 548953052 984084057 548951692 999991332 30763963 999992607 30761754 999999982 77282847 999999988 76813435 999999837 28042173 999999983 28022883 984101250 548577230 984102826 548575443 999999144 9745705 999999638 9740004 999999435 733808115 999999752 733799231 978484744 716047199 978486049 716045041 999999329 731306218 999999435 731279651 999999710 279283 999999947 267401 999991871 20022070 999994476 20020989 978105748 716019003 978107820 716017644 999981420 10376242 999982629 10373913 998829153 196268925 998830830 196267246 999984080 135237115 999985290 135234788 999999925 644756981 999999979 644704839 999187817 4805020 999190949 4804121 984079737 548718418 984081419 548716744 984099535 554481658 984100525 554478814 998756920 196304096 998758893 196302669 999978411 30771017 999980194 30769438 998821820 196258746 998825411 196257962 998751027 196263773 998752751 196262140 999957871 2397 999959569 739 999999435 772821006 999999752 772812125 978117318 716055405 978119191 716053902 999999955 3745875 999999960 3182857 999993414 10941490 999998226 10940905 999993032 625335183 999994854 625333638 999998169 91541577 999999746 91539792 999997799 4872193 999999286 4870300 999998060 63877601 999999365 63875444 999990808 24613915 999991419 24609308 993332532 700606854 993333822 700604672 999999859 11975518 999999922 11930839 983654000 548943703 983656085 548942353 999007587 4969430 999008712 4966928 999996307 657442778 999997674 657440719 999996307 657153804 999997674 657151745 999999930 778637608 999999951 778503578 999994956 133283084 999997167 133281811 999997287 4958793 999999286 4957385 999981420 9940192 999982629 9937864 999999997 781767098 999999998 778952562 998738616 196288532 998740687 196287173 984085246 548835156 984086959 548833513 977957699 715759531 977959987 715758301 993369270 700647712 993371119 700646190 999150074 4973239 999152031 4971801 978097267 716030317 978098346 716027709 999999542 29620729 999999837 29611190 998849157 196268854 998850894 196267234 999994098 625138508 999995766 625136821 993330166 700608717 993332349 700607428 999999992 178845277 999999993 176031426 999999931 623025049 999999944 622808610 999999435 772533188 999999752 772524312 983832037 548513595 983834879 548512605 993356009 700607702 993358422 700606536 978110109 715947283 978112103 715945872 999999982 148318167 999999988 147849271 978015726 715821945 978017429 715820293 999171592 4831100 999173295 4829448 999981420 10104025 999982629 10101698 999991537 20248542 999992642 20245996 999974470 133263647 999978063 133262864 999991792 19016971 999993847 19015602 999975886 135207029 999977953 135205668 999999990 740004460 999999991 737191352 999999841 657179144 999999884 657113723 999977418 80959927 999979808 80958750 999133537 81578502 999135568 81577117 999999144 8707381 999999638 8701687 999999638 8667127 999999843 8653406 984066354 548457249 984068597 548455995 999999946 743274094 999999975 743177105 984088031 548454865 984089834 548453305 993124461 710111086 993125983 710109238 999994156 222476554 999994326 222460009 999999923 200196915 999999955 200109023 999974417 81160642 999975976 81158838 978580502 715811731 978582427 715810270 999999978 764356489 999999980 762950293 999989664 81541557 999990870 81539225 999990796 78118655 999992545 78117047 999994156 221994566 999994326 221978023 984076954 548467113 984078743 548465541 999999996 872375410 999999997 869563152 999983456 81542027 999985763 81540808 999999314 26451015 999999605 26441351 999999598 22300050 999999829 22287876 978585876 715745813 978587021 715743357 999993555 135200639 999994506 135197682 999994978 24983353 999996844 24981846 999999843 8553152 999999936 8522915 984066214 548827876 984068444 548826615 999975559 78093136 999977007 78091194 993362175 700673304 993363791 700671564 999999975 842493864 999999982 842092178 999997850 4480897 999999286 4478939 999981389 135222514 999982489 135219958 999993383 20010342 999995338 20008904 999999837 29554048 999999983 29534793 999995766 24636680 999997130 24634619 998759181 196260482 998760581 196258474 999998060 63100211 999999365 63098057 999998060 60440743 999999365 60438589 999998060 56130161 999999365 56128007 984093297 548526453 984095127 548524917 999999843 10076249 999999936 10046025 998892597 91965133 998894393 91963568 999993429 625326566 999994850 625324588 999999329 721641907 999999435 721615392 983745794 548541644 983747248 548539711 999996307 657427048 999997674 657424992 977323159 715081596 977324825 715079909 999999435 774140127 999999752 774131261 999999435 732683136 999999752 732674270 999999993 823691683 999999996 822754843 999991537 19039531 999993436 19038051 999999455 6646511 999999607 6628022 999999641 653647274 999999644 652710513 998743224 196283033 998745100 196281535 999977997 78094618 999979251 78092377 983976685 554647919 983979304 554646846 999121067 81569350 999122359 81567175 984092266 548841384 984093881 548839644 999999884 654533476 999999925 654464939 983833549 548515065 983836577 548514137 999999598 23692530 999999829 23680366 999993532 625122460 999995297 625120868 978012685 715857699 978013949 715855476 999999710 937265 999999947 925409 999999410 228754143 999999909 228748512 998835324 196279049 998836821 196277172 999999829 22288409 999999899 22248269 999992630 18928189 999994414 18926614 999999638 9741738 999999843 9728032 999981420 10512266 999982629 10509942 999998060 62701835 999999365 62699682 999183502 4801129 999184858 4799057 999999314 25865952 999999605 25856297 999021619 4972189 999023592 4970765 984092894 548499757 984095251 548498565 999973745 135217802 999975074 135215688 999999994 228727296 999999995 225917796 998877782 1930 998879423 218 999990808 24487070 999991419 24482472 999990718 133232292 999991844 133229797 999999542 29499422 999999837 29489899 978101373 716062712 978102742 716060660 999999969 676740332 999999993 676623287 999999996 185564021 999999997 182754963 978503392 716060328 978505533 716059016 993351508 700628707 993352828 700626579 999975371 78075743 999977043 78074063 999999789 716275469 999999932 716255826 993129632 710133940 993131071 710131988 983641985 548916925 983643734 548915319 999999144 11088306 999999605 11082213 999999410 229973671 999999909 229968042 999991058 135262766 999998169 135262371 983970589 554611406 983972459 554609904 999999999 73823420 1000000000 71014715 999154314 81561626 999155761 81559685 998754822 196260017 998756544 196258386 999999975 960781320 999999982 960380101 978112642 716050945 978114695 716049577 998740602 196299322 998741593 196296488 999999997 673975201 999999998 671166730 999989322 134201206 999990744 134199231 999999829 23250823 999999899 23210703 999999410 229275872 999999909 229270244 999999993 698113590 999999995 696709467 999999884 648489003 999999925 648420510 993233840 700600209 993235770 700598754 984072699 548710720 984075012 548709506 999995117 30055203 999996968 30053686 993241834 700616167 993242717 700612987 999996281 24725241 999997482 24722903 999993010 18923566 999995093 18922218 978579830 715792230 978581396 715790437 999996307 650303145 999997674 650301091 999999990 146763936 999999991 143956233 999999789 714141511 999999932 714121877 999998840 30040031 999999605 30036361 999999946 765794729 999999975 765697921 993198210 700567601 993198593 700560271 999999996 745711535 999999997 742904230 999990438 135221078 999992115 135219404 984088003 548535073 984089799 548533510 992143713 719754162 992145657 719752718 983650081 548938461 983652190 548937130 999999969 664060694 999999993 663943734 999990808 24462501 999991419 24457907 979496010 713839633 979498351 713838434 978107455 716016865 978109315 716015356 999999971 635621573 999999983 635387680 978115278 715871654 978117437 715870354 999999894 4811422 999999965 4771892 999997287 4751991 999999286 4750587 999999969 664820850 999999993 664703913 999996307 657024882 999997674 657022829 999999996 807755105 999999997 804948700 998998375 4955195 998999642 4952980 993348672 700666127 993350262 700664362 999999710 109828 999999947 97987 999994314 24799699 999997204 24798728 999997504 196175501 999999045 196173680 999999969 717124882 999999993 717007961 999999976 231171456 999999984 230820693 999981420 9779459 999982629 9777138 999999435 735489791 999999752 735480939 983758574 548499314 983760942 548498129 977986428 715744687 977988570 715743377 999999605 30600914 999999855 30589690 999997916 10971605 999999144 10969320 999983033 78123610 999984382 78121530 999995234 30102341 999996490 30100107 999994156 228072649 999994326 228056144 999999975 986838458 999999982 986437624 998858527 196263762 998860485 196262329 999998060 62919179 999999365 62917029 999998060 60212471 999999365 60210321 999117056 81570724 999119281 81569463 978107374 715885240 978108846 715883334 978593384 715747913 978594052 715743713 977348055 715062273 977350366 715061059 999999789 718040166 999999932 718020547 999986950 80987242 999988494 80985425 992118234 719871647 992119039 719868162 984076078 548582721 984079516 548581905 999999410 230357342 999999909 230351720 999993414 11111158 999995071 11109465 978111037 716025260 978112973 716023811 983836488 548551445 983838209 548549815 999999144 11082213 999999605 11076128 983639945 548926222 983641342 548924214 999020231 4970992 999021619 4968971 999999969 699276680 999999993 699159800 999978134 135213974 999979931 135212413 999996307 650878594 999997674 650876542 978578823 715747566 978579798 715744689 999997129 196191326 999999045 196189862 993347605 700616319 993348903 700614158 999999955 212282589 999999976 212149020 999981420 10630868 999982629 10628548 999999717 13339960 999999822 13313247 998755070 196269512 998756349 196267319 999999149 25513044 999999314 25496045 999187167 4808844 999189108 4807399 999999996 792730332 999999997 789925738 999999542 28265532 999999837 28256025 999999990 742809016 999999991 740004460 999999435 771374729 999999752 771365882 984020406 548457110 984021324 548454055 999998060 60321891 999999365 60319742 999999144 8924786 999999638 8919109 998745100 196293766 998747162 196292406 999999997 861798280 999999998 858993985 983642716 548898249 983644447 548896629 978577808 715790437 978581567 715789691 978606715 715739064 978607688 715736182 999994156 229971210 999994326 229954715 999983926 81520171 999984901 81517295 999999975 778200899 999999982 777800325 978107628 716053803 978110301 716052754 999998169 91599496 999999746 91597718 983657562 548937080 983659139 548935302 999998169 91091893 999999746 91090115 999993599 10888639 999995100 10886771 999973500 78121698 999975821 78120490 999999997 196019636 999999998 193215888 999999919 231305515 999999923 230604578 999996307 650833807 999997674 650831756 999991537 20019015 999993594 20017652 984093439 548475750 984095313 548474254 999999969 675800475 999999993 675683664 984087739 548955747 984090222 548954618 999999925 649376028 999999979 649324115 983660024 548912246 983660197 548896042 999987879 30743121 999989405 30741284 984052396 554480164 984053536 554477705 999142656 4957769 999143587 4954758 999999435 772627362 999999752 772618519 999999598 19638282 999999829 19626147 993364695 700638953 993366261 700637163 999999982 172798818 999999988 172331634 999991419 22189425 999991537 22165670 999183338 4829448 999184748 4827460 999994758 78079533 999996401 78077827 999999144 9238291 999999638 9232617 999999144 11102158 999999605 11096078 993158797 710127958 993160596 710126400 999999931 634105646 999999944 633890043 999999841 647615021 999999884 647549841 999022669 4977101 999023693 4974364 999997287 4818959 999999286 4817557 999975471 81173185 999978443 81172242 984071306 548833486 984072360 548830827 999999925 650082371 999999979 650030472 999997961 11069203 999999144 11066834 999170083 4821379 999171133 4818710 999998169 91002584 999999746 91000807 999998169 90842697 999999746 90840920 999998169 90754464 999999746 90752687 999179674 4817068 999181730 4815705 999999435 771358670 999999752 771349830 999999931 638667024 999999944 638451467 999998840 30795039 999999605 30791376 999991419 19966366 999991537 19942621 998746294 196301364 998748415 196300043 999998060 60428094 999999365 60425947 992108430 719873666 992109285 719870389 999999329 721128857 999999435 721102425 999999969 712152135 999999993 712035395 993149457 710135632 993150896 710133685 999991419 20626678 999991537 20602935 999999995 139225713 999999996 136424042 999999822 14155473 999999980 14137741 999999435 773070239 999999752 773061401 993237471 700605156 993238831 700603096 999051231 91963977 999053430 91962703 999148151 4965636 999149312 4963223 999990808 24129304 999991419 24124719 977365354 715072811 977366706 715070739 999999829 19530456 999999899 19490437 999999435 734482314 999999752 734473477 999981238 133273886 999982428 133271532 999999999 853853254 1000000000 851052055 992056565 719755014 992057424 719751753 999999884 656744406 999999925 656676085 999999995 192729864 999999996 189928747 999999455 5157994 999999607 5139566 993124285 710119032 993125549 710116816 999999144 9152333 999999638 9146663 999999144 8179076 999999638 8173406 993128054 710132678 993129632 710130903 999989443 81511301 999991049 81509557 999995869 24891834 999997246 24889800 999998169 195707813 999999746 195706037 999990655 81521781 999991951 81519620 999999710 3976607 999999947 3964790 999998060 63787414 999999365 63785268 999999884 644178072 999999925 644109767 999991419 24115659 999991537 24091926 999985974 133238956 999988870 133237989 999999976 228023560 999999984 227673512 992125734 719748491 992126996 719746272 999999997 204389567 999999999 202989386 992110709 719862948 992112096 719860929 993346712 700589574 993363891 700589411 999998292 623540383 999999476 623538018 993234472 700592391 993235806 700590292 992136118 719859487 992137234 719856978 978090830 716049504 978091359 716044211 999991267 133294995 999992684 133293019 999999329 731176294 999999435 731149879 978026478 715815267 978028436 715813837 999999410 231037281 999999909 231031670 999999816 24835971 999999966 24817306 978114998 715899393 978116900 715897921 999122264 91966663 999122971 91962703 999999149 25459387 999999314 25442419 983639806 548940773 983641900 548939436 999996307 657341824 999997674 657339776 999999841 639377363 999999884 639312257 999999841 647394351 999999884 647329246 999999144 8979518 999999638 8973851 999999955 228786697 999999976 228653389 999999982 154657361 999999988 154190784 999999974 952780204 999999975 949980808 999999730 5008493 999999894 4991424 999999638 7768855 999999843 7755200 999999837 29942640 999999983 29923467 999998060 60105020 999999365 60102875 999999710 1509350 999999947 1497539 999998169 195912837 999999746 195911062 999998169 91603911 999999746 91602136 983755480 548528349 983757488 548526955 978490323 716064818 978491589 716062607 999999946 737825315 999999975 737728796 999999955 213196978 999999976 213063692 993130831 710129142 993132631 710127587 999145006 91965005 999146506 91963139 999990808 24582243 999991419 24577662 999999730 5758446 999999894 5741379 999998292 624888781 999999476 624886417 999168785 4829448 999172542 4828703 978103895 715961343 978105716 715959806 993353244 700651931 993354906 700650247 999999899 16930462 999999943 16866854 998961497 91966663 998963331 91965137 999994314 24721565 999996401 24720224 999999455 6858854 999999607 6840442 993132769 710135632 993134423 710133940 999999598 20789936 999999829 20777821 999994282 625389066 999996307 625387684 978117636 715959615 978119189 715957813 999999946 756800062 999999975 756703563 999999121 26458876 999999149 26358931 999999997 85714657 999999998 82916259 999999979 641600423 999999997 641444960 999991040 81162849 999993670 81161785 999997287 4999119 999998696 4997133 978103895 715938448 978105867 715937029 999982759 30808717 999984569 30807171 983974813 554681991 983976563 554680392 999983577 134187937 999985812 134186685 999134409 81573783 999135797 81571767 999999969 672982276 999999993 672865686 983976563 554685489 983979116 554684393 999980551 135222942 999981389 135219603 999991537 19008330 999992989 19006403 993357086 700619029 993359303 700617767 999995990 133213705 999998169 133212421 999990808 24573069 999991419 24568490 999999607 6328947 999999730 6306201 993091857 710122956 993094976 710122059 999981420 11006918 999982629 11004604 999999144 9632401 999999638 9626738 992126653 719889593 992128247 719887838 999999843 9263789 999999936 9233709 999177992 4840323 999179368 4838290 999999994 81271547 999999995 78474147 999999925 645856913 999999979 645805110 978110579 716060693 978112042 716058781 999999925 653298522 999999979 653246725 999993307 20098694 999994964 20097006 984076313 548697207 984079110 548696207 999973328 135189538 999976781 135188728 999999329 726740202 999999435 726713816 999996307 656990391 999997674 656988345 999999969 719889593 999999993 719773058 999999996 688218337 999999997 685421497 999999982 108061378 999999988 107595241 998853600 196276581 998855440 196275061 999998060 63024963 999999365 63022820 999998060 60044536 999999365 60042393 999998292 624528934 999999476 624526572 999162841 4961369 999164316 4959473 978028025 715865840 978030397 715864661 993346712 700591479 993348180 700589574 999999329 732393678 999999435 732367297 984086949 548462185 984088921 548460767 999994575 10976925 999996796 10975666 978683847 715795843 978689103 715795311 984087109 548528398 984088665 548526601 999999144 9433941 999999638 9428281 999999144 7787446 999999638 7781786 993350039 700636985 993352022 700635575 993358861 700684547 993361479 700683479 984098999 548557392 984100868 548555896 999998169 195366834 999999746 195365061 999998169 91554716 999999746 91552943 999998169 91126890 999999746 91125117 999999944 621603313 999999971 621499760 999148855 81586667 999151399 81585568 983745794 548553384 983750446 548552783 977957699 715801250 977958913 715798947 999999974 871148000 999999975 868352203 999999979 646473024 999999997 646317706 999999882 34238067 999999997 34213757 999999435 732870845 999999752 732862026 999996307 658046597 999997674 658044552 999999955 203382176 999999976 203249057 999997129 196184636 999999045 196183177 999999983 735984430 999999985 734586782 999997764 11017159 999998514 11013432 999985201 26677900 999987022 26676365 992082335 719753525 992084517 719752244 999999329 776889760 999999435 776863391 999991537 20200739 999993352 20199199 999999998 642107251 999999999 639312257 999001745 4967657 999003567 4966123 999999978 759444317 999999980 758046861 993233227 700605088 993234154 700602073 999999925 647605381 999999979 647553625 998866691 91966663 998868087 91964661 999991271 133281944 999992361 133279380 992140211 719742515 992142107 719741041 999994156 229786680 999994326 229770241 999999992 122656224 999999993 119861597 993104436 710120097 993107060 710119032 999983820 30788995 999985788 30787575 999999841 646708119 999999884 646643132 999999410 230755503 999999909 230749903 999999955 201814738 999999976 201681673 998844746 196264049 998846219 196262152 999998292 624370233 999999476 624367873 999998292 623722502 999999476 623720142 999145975 81575573 999149143 81574691 999999605 25074295 999999895 25064660 999996307 651252736 999997674 651250692 999993986 625004760 999995817 625003234 999999730 5171103 999999894 5154066 999998060 60396738 999999365 60394597 999994156 228130291 999994326 228113856 999999542 28216663 999999837 28207192 983752185 548505666 983753863 548504001 999995477 78069814 999997141 78068135 999991537 20187068 999995338 20186333 999997129 196111356 999999045 196109898 999999789 719768832 999999932 719749297 978018121 715824568 978019186 715821945 999971953 135227098 999973194 135224847 992132374 719755014 992134428 719753654 999995091 135227436 999996351 135225219 983771571 548506884 983773788 548505624 999999789 715069789 999999932 715050255 999999994 123132122 999999995 120338773 999991537 16373028 999992679 16370582 999999841 646773079 999999884 646708119 999999993 860205713 999999996 859274642 999076090 91966663 999078725 91965603 999999925 640418718 999999979 640366994 999999979 654700584 999999997 654545414 998757466 196299049 998759590 196297734 992129430 719869449 992130926 719867582 993371643 700683109 993373025 700681088 999999986 211320249 999999987 208527352 999998169 91582127 999999746 91580356 999181126 4828843 999182721 4827092 993094557 710164999 993097314 710163986 999999975 996601014 999999982 996202037 983765903 548498709 983767376 548496813 984089481 548565256 984090251 548561629 999996307 657849095 999997674 657847052 999999435 771907078 999999752 771898268 999979693 133236459 999980862 133234070 977971013 715745640 977972830 715744103 999999605 26446727 999999895 26437097 999999936 7417541 999999965 7321242 999994812 625135679 999996307 625133811 983832037 548518708 983833007 548515829 999997287 4992208 999999286 4990811 983762528 548549862 983764163 548548154 999999841 657691900 999999884 657626957 999991537 20196849 999994159 20195784 999986133 135413244 999998169 135413012 999999710 1359387 999999947 1347605 983658176 548910580 983660024 548909069 999138384 81574431 999139966 81572666 984091734 548452330 984093398 548450652 993324723 700602952 993326625 700601484 999999974 888231289 999999975 885439163 992136956 719867478 992138322 719865434 984059038 548454883 984060162 548452399 992128837 719847420 992130869 719846046 998930972 91966663 998932045 91964061 999999542 29035062 999999837 29025598 984045499 548459683 984046988 548457808 999982428 133273886 999983614 133271532 999999923 225151732 999999955 225064494 999985708 133278632 999986572 133275401 999981420 10483827 999982629 10481518 999981420 10478765 999982629 10476456 999999982 72944785 999999988 72479524 999999989 767331803 999999990 764540316 999996307 657857446 999997674 657855404 999996307 650523862 999997674 650521820 999998060 63027841 999999365 63025702 999999891 7125167 999999949 7077040 992115301 719883001 992116689 719880990 983745794 548551787 983747517 548550167 999997917 24818748 999999367 24816823 999999329 731148677 999999435 731122345 999991781 20091642 999993280 20089780 983975371 554580106 983977142 554578530 984098558 548525988 984099907 548523919 999995672 135196688 999997071 135194693 983772529 548509649 983773910 548507628 999999993 851759970 999999996 850829649 999972878 78131132 999974495 78129406 978005282 715739979 978007406 715738665 983767376 548498709 983768848 548496813 992139032 719850408 992140377 719848333 999999946 728186279 999999975 728090044 999999930 792299254 999999951 792166359 984066214 548825691 984067888 548824024 999997792 11024743 999999144 11022679 983978088 554628595 983980194 554627270 999999710 595235 999999947 583461 999999946 763689634 999999975 763593414 984027191 548461383 984029177 548459978 992077719 719742819 992078886 719740428 999999607 4573600 999999730 4550915 978023088 715740349 978025753 715739302 978685731 715818682 978687563 715817159 999999144 8159125 999999638 8153477 978110588 715937067 978112236 715935374 999999946 736993270 999999975 736897061 999999829 21716416 999999899 21676558 999996307 657330392 999997674 657328351 999971889 81506718 999973352 81504811 983770150 548503296 983773910 548502554 999972925 133242983 999976215 133242135 999994278 624774534 999996086 624772991 999999975 907514891 999999982 907116358 999998169 91535887 999999746 91534118 999999982 68664634 999999988 68199691 999997110 24904074 999999367 24902838 992095461 719749404 992097322 719747905 978022626 715834434 978023655 715831723 999996152 80976442 999998169 80975059 998829343 196258408 998831047 196256771 992130143 719888243 992132029 719886764 993236849 700621516 993238665 700619980 984097351 548857755 984098568 548855463 998951703 91964980 998952928 91962703 999145975 81578843 999147821 81577332 978591540 715740553 978592662 715738067 999999435 773351696 999999752 773342897 999999542 28486447 999999837 28476992 999999930 800217272 999999951 800084452 999981420 10056285 999982629 10053978 984070309 548709410 984072699 548708243 999999144 9312558 999999638 9306912 993100354 710114188 993102325 710112773 999999923 208116870 999999955 208029715 984073237 548850343 984074912 548848678 999999946 777180839 999999975 777084671 999998060 56601790 999999365 56599653 999004403 4976636 999005708 4974499 999999975 841416936 999999982 841018548 999996307 651042194 999997674 651040154 999996307 651029488 999997674 651027448 999996307 650863387 999997674 650861347 999109364 81575691 999111611 81574450 983976589 554663248 983978836 554662007 999990345 30800147 999991575 30797880 999999598 23738811 999999829 23726740 999998292 623770122 999999476 623767767 984095767 548453184 984097247 548451300 979490011 713844446 979492098 713843110 984092429 548481946 984093864 548480003 999994156 226237489 999994326 226221088 983646344 548902459 983648242 548900990 999988671 30767384 999990829 30766092 999999144 7965436 999999638 7959792 999998169 91579698 999999746 91577930 998757185 196263792 998759201 196262409 998833304 196256265 998835097 196254710 999984492 78080135 999985735 78077892 999999837 29770369 999999983 29751273 999990808 16583644 999991419 16579081 999999999 143325095 1000000000 140537168 999999841 653216123 999999884 653151288 978013329 715843994 978014172 715840687 984074520 548847000 984075632 548844493 992048489 719748697 992050227 719747093 999994719 24831122 999995958 24828872 999985290 135237115 999986488 135234788 984088271 548475750 984089995 548474133 999974978 80974705 999976061 80972131 984101395 548478373 984102826 548476425 999999998 104031830 999999999 101244275 983656573 548941556 983660133 548940773 999998060 63476672 999999365 63474536 999998060 56479696 999999365 56477560 999999998 810750759 999999999 807963329 983979897 554678265 983981416 554676430 999990019 81160539 999991040 81157809 999996307 657410538 999997674 657408499 999996307 656857197 999997674 656855158 999999923 201699295 999999955 201612192 999993513 30032936 999995549 30031567 999991419 23456726 999991537 23433105 999984071 135258877 999985799 135257264 999999882 31655770 999999997 31631533 999999969 714072286 999999993 713956153 993123185 710126992 993124324 710124545 999113798 81562023 999116090 81560807 978097664 716061268 978098763 716058732 999999988 79272223 999999989 76485161 999993543 30096271 999995885 30095081 983766329 548540470 983768134 548538926 999999329 735353317 999999435 735327026 999999946 747522117 999999975 747426019 999994697 24825081 999996580 24823601 999994156 230343071 999994326 230326678 999149098 81585568 999150625 81583743 999999435 720874327 999999752 720865536 999999542 27557261 999999837 27547815 983973065 554689279 983974919 554687776 999998169 195295422 999999746 195293655 984069871 548957143 984072195 548955944 999996306 11063078 999997583 11060896 999999710 3946793 999999947 3935036 999101932 81570235 999103493 81568450 999999931 621286600 999999944 621072267 999999998 955869633 999999999 953083359 999998060 60391572 999999365 60389437 978117948 716013127 978119718 716011553 999991537 19041433 999993436 19039966 999999923 205302498 999999955 205215442 999999542 28695497 999999837 28686054 979499941 713843349 979501411 713841454 992142941 719747302 992145564 719746240 998753645 196313946 998756303 196312898 999999789 714662446 999999932 714642967 999999435 776217932 999999752 776209145 999999946 768316877 999999975 768220826 999998840 30459739 999999605 30456098 993366201 700615746 993367955 700614158 999999829 21362576 999999899 21322786 999999969 710690012 999999993 710573960 999989465 81145017 999990518 81142372 999999944 630968157 999999971 630865004 999999923 225978024 999999955 225890990 999999923 197029157 999999955 196942124 999007301 4944249 999008909 4942517 999998169 91529524 999999746 91527758 984099230 548452650 984100837 548450917 999999410 229601115 999999909 229595534 983745794 548530625 983746667 548527435 999999435 732083992 999999752 732075207 999999884 640880243 999999925 640812320 999999975 847576829 999999982 847179016 999977033 80989508 999978205 80987132 999999975 857684067 999999982 857286269 999996307 651290876 999997674 651288839 999997666 11118275 999999144 11116391 978109395 715913946 978111031 715912244 984076208 548580560 984077675 548578662 978108554 715871316 978110560 715869928 999999986 229965158 999999991 229408295 999999948 182229190 999999959 181976074 999999598 23440951 999999829 23428898 999999435 721340504 999999752 721331721 999999899 24592623 999999943 24529346 983760095 548537984 983761522 548536033 999999971 639159190 999999983 638927190 992138923 719884530 992140878 719883106 983753272 548512741 983754696 548510786 977356056 715067040 977357852 715065490 999993032 624816341 999996307 624815491 993348520 700612948 993350118 700611206 999999144 7959792 999999638 7954157 999126747 81579648 999128609 81578153 978098036 716055064 978098763 716051235 999999899 17298708 999999943 17235443 999998060 64021550 999999365 64019417 999998060 56718432 999999365 56716299 999999841 643388064 999999884 643323331 999990137 133216150 999992520 133214982 978094218 716050820 978096333 716049504 979501411 713840817 979502477 713838206 999999598 22588459 999999829 22576410 999150400 81575573 999152205 81574031 999172977 4806974 999174598 4805257 999993032 625024552 999993938 625021480 999996307 657962600 999997674 657960564 999996307 656571132 999997674 656569096 999996307 650374451 999997674 650372415 984086191 548475750 984087531 548473673 999999969 677400483 999999993 677284519 984093306 548503347 984094612 548501216 999998840 30329622 999999605 30325984 999008793 4970062 999009681 4966928 999999410 228413330 999999909 228407753 999994156 225502981 999994326 225486611 999994156 225392907 999994326 225376537 978683847 715818682 978684752 715815607 999999841 654818061 999999884 654753343 998859370 196253069 998860687 196250956 999999936 8730341 999999965 8634383 999999144 8987768 999999638 8982135 999991419 16379116 999991537 16355534 999999982 161180994 999999988 160717235 999984134 78077892 999985735 78076154 984086191 548506493 984087985 548504942 999999955 206134358 999999976 206001864 999993513 30228866 999995605 30227536 992092309 719748568 992094088 719747004 999999933 30481417 999999957 30365490 999999925 646874438 999999979 646822915 999999975 910454739 999999982 910057303 993093051 710180538 993094676 710178826 999981420 9570859 999982629 9568558 999996307 650889709 999997674 650887674 999996307 650559797 999997674 650557762 999996307 650554422 999997674 650552387 999031577 91966663 999033394 91965132 999999990 725786065 999999991 723004298 999999286 5080508 999999455 5064048 999999435 734833591 999999752 734824816 999999974 830411146 999999975 827629711 977312042 715073550 977312876 715070215 999993414 9092039 999994269 9088786 999164772 4840323 999175594 4840066 978010096 715740301 978011933 715738787 999999789 716906149 999999932 716886701 999999996 837710449 999999997 834929405 999999542 27252251 999999837 27242824 999999946 759711181 999999975 759615286 999998060 63906275 999999365 63904144 992106126 719871167 992108430 719869960 999980834 135203608 999982169 135201525 999999988 763992105 999999989 761211324 999999789 717033568 999999932 717014122 999999993 978485018 999999996 977558099 999999944 627861352 999999971 627758362 999999435 777779785 999999752 777771013 999999822 14458458 999999980 14440859 998756125 196277703 998757322 196275380 999156397 4964565 999158469 4963223 999999638 8093172 999999843 8079608 999997287 4478393 999999286 4477002 984086503 548477282 984088318 548475750 999999286 4583579 999999455 4567126 999999121 26334266 999999149 26234963 999993032 624827577 999996307 624826728 999999435 776610263 999999752 776601492 998818135 196252020 998820748 196250956 999999789 715573212 999999932 715553770 999999974 841564350 999999975 838784160 999999829 17972676 999999899 17932960 999999410 229191295 999999909 229185724 999999979 647447947 999999997 647293508 999075362 91964344 999077056 91962703 983760430 548549746 983762528 548548421 984067831 548714616 984069223 548712619 999999829 19248638 999999899 19208927 983754719 548516589 983756415 548514950 999999993 991573312 999999996 990646742 999995886 24969605 999997811 24968161 999999730 6081092 999999894 6064143 977355112 715077587 977355694 715072811 999993032 624972336 999994766 624970733 999986484 135226343 999988342 135224847 999999841 644170011 999999884 644105371 999995583 78130063 999997402 78128535 999999410 230896862 999999909 230891292 999999605 25403022 999999895 25393438 999999144 7898160 999999638 7892534 984046499 548464383 984048204 548462753 999976065 135194294 999977789 135192682 978112468 716032973 978114347 716031494 999999975 850785316 999999982 850388313 999990808 15468834 999991419 15464286 999988458 133266222 999990291 133264706 999981789 133255630 999984386 133254560 999993414 11085098 999995229 11083567 999999931 628335154 999999944 628121404 999999605 30047489 999999855 30036374 999999955 206751325 999999976 206619004 999110608 91963553 999113877 91962703 993150896 710123614 993152112 710121329 999999829 19732265 999999899 19692572 999015028 4956039 999016596 4954267 999994156 230115923 999994326 230099579 999156607 81573317 999157969 81571277 999998840 30769496 999999605 30765864 999999314 26406505 999999605 26396957 979490011 713837844 979492066 713836492 999982229 135231788 999984080 135230287 999998060 59798639 999999365 59796510 999999455 5308882 999999607 5290604 999999144 7884418 999999638 7878794 999999884 639380019 999999925 639312257 999999969 719446614 999999993 719330855 999999990 629921468 999999992 628532364 999999286 6292672 999999455 6276233 992140642 719875714 992142446 719874174 978010747 715850158 978011678 715847174 999974595 133227652 999977132 133226557 992135112 719888809 992137112 719887420 993095092 710162770 993097092 710161381 999974980 81514714 999977786 81513724 999999955 204346732 999999976 204214450 999999435 733830502 999999752 733821739 999999435 732594969 999999752 732586206 999996096 78117245 999998169 78115905 993343420 700625148 993344777 700623101 999999598 18516431 999999829 18504406 999999975 720926911 999999978 720001010 999999971 638071115 999999983 637839643 999999923 200587674 999999955 200500872 999998292 624249645 999999476 624247299 992144178 719842236 992145657 719840358 993109365 710135632 993112205 710134654 999994877 133276429 999996939 133275082 978577385 715807389 978579796 715806237 977349949 715071921 977351726 715070358 999976347 81151124 999977976 81149419 984072845 548456105 984074352 548454262 978106165 715970337 978108029 715968847 999997873 24799315 999999367 24797456 983656785 548943570 983658164 548941556 998997403 4963510 998999571 4962229 999960071 2058 999961744 398 978485116 716061025 978486278 716058635 993356672 700687307 993359062 700686145 999994314 24813074 999998072 24812335 999993969 10913925 999995907 10912492 999999948 163108974 999999959 162856507 984091704 554474589 984093361 554472913 999999542 27962298 999999837 27952884 999999816 24984815 999999966 24966301 999998169 195459553 999999746 195457792 999981420 10230784 999982629 10228487 999998060 56213914 999999365 56211786 984098032 548545697 984099345 548543582 999990808 15836816 999991419 15832271 999993820 133237989 999995157 133235912 984098920 554485110 984100033 554482615 999999638 7273751 999999843 7260205 983755920 548513258 983757488 548511487 999980308 30794103 999981096 30790579 998754517 196307664 998758166 196306903 999176197 4835691 999177992 4834144 999999598 22112140 999999829 22100119 999999944 638714847 999999971 638612001 999999989 205942435 999999990 203165628 999999925 654721250 999999979 654669828 984096904 548846137 984098050 548843714 999999909 214458762 999999919 214181090 999999969 693552212 999999993 693436519 999999789 718495860 999999932 718476443 999997287 5126935 999999286 5125546 998751201 196260501 998752955 196258918 999993414 9084422 999994898 9082551 999991622 135192694 999993975 135191514 999991419 20969679 999991537 20946149 999994575 625310186 999996307 625308583 992107909 719876856 992109020 719874357 999996307 656880108 999997674 656878077 999996307 656659181 999997674 656657150 999999971 622485749 999999983 622254387 993165716 710124577 993167640 710123134 999999969 696250847 999999993 696135167 999999999 867707930 1000000000 864931771 999999956 19356321 999999970 19158026 999999789 717923934 999999932 717904521 992137112 719888809 992138149 719886132 999995852 24946191 999997364 24944355 984061055 554477035 984062567 554475199 978689216 715801918 978690297 715799350 999999410 230116361 999999909 230110798 983767249 548550079 983768805 548548295 999999286 6083903 999999455 6067478 993229666 700596450 993230574 700593393 999975821 78121698 999977031 78119404 984083810 548823478 984085845 548822114 977343163 715070876 977344218 715068245 999999542 28154988 999999837 28145579 999999829 17922745 999999899 17883093 998747560 196278070 998749501 196276640 992108643 719843264 992110368 719841655 999999975 825097273 999999982 824700770 999999329 733548226 999999435 733522043 999996152 80984116 999998169 80982740 999999946 767983469 999999975 767887767 999999993 86286123 999999994 83510817 993360133 700638534 993361941 700636999 978107374 715888265 978110955 715887490 977362820 715071032 977364325 715069188 999999822 12968445 999999980 12950881 999987425 134199100 999987927 134193572 978116559 715918888 978118093 715917079 999997763 4732635 999999286 4730813 984094610 548826732 984096631 548825359 999999955 203626275 999999976 203494141 999999829 17009138 999999899 16969498 999992365 16291779 999994081 16290162 999999946 764474024 999999975 764378343 999999314 26518692 999999605 26509157 999997287 4708085 999999286 4706697 999997287 4682620 999999286 4681232 984098142 548838490 984099570 548836547 999990808 16137527 999991419 16132986 999994272 29990971 999996153 29989496 999998060 62885211 999999365 62883085 999999605 25854523 999999895 25844956 999999948 85189406 999999959 84937187 999999999 757938011 1000000000 755163649 983647479 548944428 983648445 548941556 984033876 548456828 984035285 548454859 984068737 554475570 984070253 554473740 999978443 81174836 999979352 81171784 999999329 731412167 999999435 731385995 999992924 18958181 999994435 18956345 992117663 719855243 992119430 719853673 999999969 693761981 999999993 693646390 999999999 843442787 1000000000 840668632 999998292 623803661 999999476 623801318 999999829 20613511 999999899 20573882 984083728 548593930 984085213 548592062 999998169 195486536 999999746 195484777 999998169 195392041 999999746 195390282 999998840 30246761 999999605 30243135 993350746 700612948 993352300 700611163 984096239 548516487 984098236 548515098 999977347 80953002 999978687 80950932 999160301 4962388 999162841 4961296 999993552 16253281 999995338 16251728 978486977 716058635 978488530 716056849 999996307 657940751 999997674 657938722 999996307 651276226 999997674 651274197 999999969 717756180 999999993 717640616 999994747 81136186 999996488 81134593 999990808 23531191 999991419 23526652 999999965 2396328 999999967 1009664 984099054 548488712 984100593 548486910 983836015 548511095 983838209 548509831 999999999 992550672 1000000000 989777463 992122521 719746036 992124159 719744343 999998840 30613013 999999605 30609388 999111464 81586667 999112089 81582230 984099121 548521110 984100949 548519593 999157953 91965059 999159130 91962703 993236711 700606687 993238831 700605379 999999924 26783651 999999961 26708708 999999909 212356747 999999919 212079463 999977456 133280517 999978927 133278632 998906033 91966663 998907856 91965142 999980887 78105377 999981917 78102685 999999975 919682027 999999982 919285921 983757685 548534254 983759264 548532498 999990808 16047743 999991419 16043205 999997287 4952471 999999286 4951084 999997287 4887584 999999286 4886197 992132852 719862981 992135236 719861818 984099867 548510171 984102826 548509234 984042941 548449968 984045043 548448649 999999455 5793959 999999607 5775719 999999925 655452688 999999979 655401346 978627396 715746872 978628651 715744663 999996307 657514256 999997674 657512228 999996307 651317209 999997674 651315181 998745100 196270951 998746899 196269410 992129430 719881992 992131543 719880680 999999996 842914484 999999997 840142230 979506368 713838396 979507824 713836492 999992469 20239895 999994128 20238224 999999588 7170416 999999891 7161267 999999969 703762843 999999993 703647339 999999943 16054623 999999956 15841388 999999975 984064018 999999982 983668011 999999994 155607460 999999995 152835422 999971889 78083029 999973145 78080822 999999955 199315959 999999976 199183962 999999974 815884949 999999975 813113017 998841899 196260068 998844352 196258938 999999829 23673389 999999899 23633791 998954966 91965942 998956010 91963287 999999542 29641985 999999837 29632589 999999542 27003295 999999837 26993899 998918618 91966663 998920595 91965261 999999997 900427470 999999998 897655769 999998840 30168205 999999605 30164582 999999969 678369675 999999993 678254194 999999598 20986232 999999829 20974234 999999822 13619706 999999980 13602165 984079655 548456707 984081604 548455285 984088713 548961057 984090627 548959609 992102972 719739575 992105567 719738507 993344313 700599350 993345634 700597252 999999410 230902416 999999909 230896862 983657639 548898723 983660024 548897561 999999986 751447769 999999988 750062107 999999435 734501480 999999752 734492738 999999435 720179948 999999752 720171206 999999638 7424440 999999843 7410922 983974804 554658001 983976727 554656560 999981420 10676772 999982629 10674480 999981420 9845985 999982629 9843693 999999884 656676085 999999925 656608499 999999899 17020838 999999943 16957861 999026363 4960555 999028475 4959243 999996307 657591414 999997674 657589387 999172763 4805257 999174598 4803747 983656600 548915003 983657605 548912246 998864279 2783 998866517 1545 999998292 624293629 999999476 624291289 999993414 10990848 999996241 10989868 999994156 230154553 999994326 230138257 978090830 716010384 978093214 716009222 999999841 654182428 999999884 654118006 999977957 81510886 999979508 81509100 999995917 11073143 999997392 11071265 983745794 548509100 983747727 548507667 999997287 4429061 999998773 4427197 999977866 80949968 999978922 80947345 999972219 80955667 999974111 80954203 999999144 9780521 999999638 9774914 999996810 24766570 999998597 24765020 999999986 200673103 999999987 197903260 993366948 700666724 993368375 700664783 999999882 37799687 999999997 37775602 999999638 7247389 999999843 7233878 999999605 30215472 999999855 30204393 984099732 548702391 984101462 548700790 999999841 654956219 999999884 654891807 978683847 715737083 978686921 715736182 999991537 20270721 999992630 20268187 984094497 548825359 984096213 548823745 999996307 651624863 999997674 651622837 999996307 650612805 999997674 650610779 984078943 548465989 984081105 548464708 999978904 78089129 999980336 78087195 983833693 548505537 983836291 548504471 999999542 28345195 999999837 28335807 999999946 750784511 999999975 750689016 999999948 113281359 999999959 113029605 999999841 648706112 999999884 648641710 993357936 700658161 993363803 700657689 999998060 62779986 999999365 62777864 999997316 30216044 999998840 30214227 999992088 16266416 999993939 16264920 984089925 548487623 984092393 548486501 999971942 133215916 999973298 133213874 983974432 554580723 983975244 554577313 984078883 548574041 984080550 548572380 999999542 29851870 999999837 29842484 984095378 548524999 984097653 548523782 999989037 64080130 999991644 64079068 999981420 9697014 999982629 9694724 999127020 81582791 999129455 81581654 999999948 123623304 999999959 123371614 999117056 81574183 999118573 81572358 999999410 230425238 999999909 230419690 999976780 133220192 999978467 133218551 999999598 19950622 999999829 19938638 984057151 548451933 984059038 548450466 983652693 548959923 983654029 548957851 984061273 548453450 984062368 548450922 978103162 716010384 978103517 716002587 999998060 63256581 999999365 63254460 999999144 8362318 999999638 8356715 978483852 716048421 978486117 716047199 999999947 3775443 999999955 3429466 999999923 215437454 999999955 215350960 999999435 775071646 999999752 775062915 999989427 80964812 999990003 80960007 999114018 81585226 999115413 81583242 999999884 641284942 999999925 641217440 999999717 14077863 999999822 14051506 999999319 26688488 999999608 26678912 998846752 196259349 998848087 196257276 999999542 27334547 999999837 27325166 999987296 78072277 999988842 78070487 978112110 715894186 978114098 715892794 999991419 23111264 999991537 23087813 999995809 81165455 999997337 81163644 998999204 4947076 999001745 4945987 999999882 34750694 999999997 34726632 999991537 18981712 999995338 18980984 999993663 16355051 999995338 16353399 999999946 723145923 999999975 723050506 978105229 715883081 978107374 715881791 993353572 700620504 993355939 700619335 978113600 715872605 978115278 715870956 999999982 99029963 999999988 98568793 999129134 81571545 999130463 81569463 978111533 716042437 978113258 716040833 999999993 996764370 999999996 995842096 999996307 658038316 999997674 658036292 993159350 710111919 993160382 710109238 999999948 164757548 999999959 164506022 999993414 10984887 999994635 10982621 999997129 196134823 999999045 196133379 984094424 548481643 984096111 548480003 983751281 548534988 983752968 548533348 999999996 55884144 999999997 53117478 999995682 30048828 999997208 30047015 999993032 625276953 999994964 625275521 999976667 133231729 999978099 133229797 999998060 62894278 999999365 62892158 999998060 56349809 999999365 56347689 999998060 56047545 999999365 56045425 992118638 719848469 992120031 719846483 999972308 81155797 999972899 81151116 999999435 732920210 999999752 732911483 999172542 4824931 999175073 4823838 999994972 9042053 999995799 9038708 999981420 10809795 999982629 10807507 999981420 10347087 999982629 10344799 999994156 229460905 999994326 229444634 999998169 91277195 999999746 91275441 999999144 10324529 999999605 10318529 999999314 26201321 999999605 26191816 999991419 16422765 999991537 16399325 999994156 221892905 999994326 221876635 999999435 733371407 999999752 733362682 999999930 806031183 999999951 805899478 999981389 135212768 999982997 135211048 999980259 81138366 999981854 81136632 999993583 26684768 999995577 26683381 999999329 733011836 999999435 732985746 978107534 716038533 978109203 716036876 999999948 108281460 999999959 108030050 983650172 548932833 983651823 548931158 999987902 30749548 999988648 30745841 999999996 97033014 999999997 94267607 992126612 719850408 992127361 719846716 983970200 554645012 983971346 554642599 992103118 719754718 992104763 719753037 992131543 719883045 992132235 719879049 978092287 716064818 978093600 716062712 999999944 617309085 999999971 617206672 978488476 716064818 978489205 716061025 999999314 25127228 999999605 25117726 993345634 700622447 993346341 700618536 999995225 29995189 999997082 29993700 993108444 710134654 993109767 710132564 999979725 134191762 999981587 134190277 999981420 10070543 999982629 10068256 992138260 719851252 992141536 719850408 978020699 715829097 978022571 715827620 999999976 218279485 999999984 217933869 993099040 710172436 993100550 710170605 984056537 548455647 984057980 548453731 999997129 196167680 999999045 196166237 999998840 30146644 999999605 30143030 978015757 715747877 978017335 715746125 983837161 548518523 983838209 548515885 999997287 4504350 999999286 4502967 978109130 716001372 978110825 715999741 999999975 835543868 999999982 835148936 999992045 134195838 999993265 134193572 999999975 898441058 999999982 898046139 978117634 715915478 978118946 715913371 999999948 85852886 999999959 85601579 999999329 735135377 999999435 735109299 999992424 16377489 999994353 16376056 999999605 30348336 999999855 30337279 999999948 68903608 999999959 68652326 999999829 17388387 999999899 17348902 993103172 710112682 993104451 710110521 999999314 25010197 999999605 25000699 999993032 625302060 999994017 625299254 999978459 133259049 999981789 133258219 978113358 716012454 978115025 716010796 999999329 729662242 999999435 729636168 999999286 6159841 999999455 6143487 984098999 548578666 984100672 548577014 983652088 548899472 983653653 548897706 983767146 548516621 983768469 548514532 993143167 710119032 993144787 710117326 999999435 735042679 999999752 735033961 978096225 716023373 978097906 716021729 999983844 133290421 999984170 133281944 999990385 80982474 999992932 80981389 999998292 624852092 999999476 624849758 999999884 653257824 999999925 653190423 999999993 905794610 999999996 904873465 999976198 81134724 999980743 81134116 999991537 20332061 999995338 20331334 999991537 20137519 999995338 20136792 984086191 548529510 984088676 548528398 999999605 30200774 999999855 30189721 999986448 81513610 999988300 81512118 999999710 373220 999999947 361561 984096891 548710695 984098581 548709060 993099158 710123924 993100550 710121939 978103895 715880421 978105269 715878410 993092493 710147763 993094679 710146499 999999829 19594848 999999899 19555376 999984084 134203819 999987425 134202992 999999598 23053256 999999829 23041295 999991419 17944694 999991537 17921279 999992887 135253607 999994735 135252112 999999730 4840198 999999894 4823352 999997287 5027117 999999286 5025735 999999598 18775606 999999829 18763647 999994156 228038350 999994326 228022100 999101932 81575593 999103104 81573236 999999884 643754372 999999925 643687001 999999286 5390901 999999455 5374557 998849736 196280691 998851247 196278863 978115687 715979119 978117867 715977852 999999948 76270518 999999959 76019426 984098568 548857394 984100111 548855604 999997020 133243691 999997977 133240805 999999975 759442388 999999978 758521778 984101050 548459126 984102826 548457571 999994156 227184081 999994326 227167837 978686268 715810204 978688832 715809127 999998060 60295656 999999365 60293540 999999894 4591070 999999965 4552178 999993032 625204840 999994273 625202615 993338407 700618594 993340747 700617414 983758989 548526368 983760789 548524834 978111342 715957786 978113792 715956659 999994314 24722888 999996401 24721565 999999329 774815172 999999435 774789124 992098776 719743645 992100079 719741526 999999855 30668037 999999933 30632639 993363891 700601325 993366265 700600162 999999598 24097492 999999829 24085540 998819254 196266252 998820748 196264404 993118921 710126192 993120443 710124378 999995990 133216123 999998169 133214856 993114857 710117194 993116797 710115771 998993215 4951632 998994788 4949877 999999542 29205401 999999837 29196043 977988996 715743365 977990546 715741584 999999930 796866909 999999951 796735455 999999829 22476524 999999899 22437088 999999998 977240803 999999999 974480337 999986828 81148454 999988476 81146779 999997542 11098776 999999144 11097053 978096913 716016190 978098014 716013683 999992932 80982021 999994424 80980171 993356310 700683118 993358861 700682036 999975194 81524539 999976833 81522855 999998060 62899297 999999365 62897182 999998060 62658565 999999365 62656450 999997345 24985549 999999367 24984184 999996307 657955284 999997674 657953265 999996307 651612249 999997674 651610230 999996307 651339502 999997674 651337483 984100573 548549475 984102826 548548250 999998292 623558740 999999476 623556409 999999789 719102343 999999932 719083043 984078847 548850126 984080753 548848678 992123155 719842224 992124634 719840358 999999996 124857646 999999997 122097895 999998169 195498655 999999746 195496905 999998169 91380986 999999746 91379236 999998169 90629385 999999746 90627635 993095232 710169411 993098549 710168579 993354654 700669036 993356614 700667628 999999882 36615110 999999997 36591113 999999329 725243506 999999435 725217472 999999976 208149374 999999984 207804424 983643211 548939795 983645300 548938474 999999329 729068278 999999435 729042245 999142867 4963223 999144110 4961003 992125144 719869008 992127176 719867650 999999996 719889593 999999997 717130219 998854634 196262329 998855998 196260306 999995418 11121793 999997160 11120209 977958667 715790744 977960409 715789160 984074179 548450008 984076249 548448675 984088353 548844780 984089734 548842782 999999435 773058563 999999752 773049859 999179674 4814628 999181730 4813286 983656484 548911753 983657969 548909895 999993964 30214171 999995790 30212660 999999822 13300636 999999980 13283174 999999329 733281672 999999435 733255644 999999841 648859995 999999884 648795833 999999542 29832459 999999837 29823107 999998292 624387163 999999476 624384833 978098346 716028068 978099964 716026363 978028025 715858862 978030397 715857699 999999542 29008799 999999837 28999448 977988468 715739212 977990373 715737764 999994156 223436917 999994326 223420691 999994631 11120209 999996428 11118674 999999925 645667719 999999979 645616639 999997340 9060229 999999144 9058700 999999435 772960528 999999752 772951827 999998169 91616628 999999746 91614879 983971821 554579040 983973329 554577211 999017556 4960555 999018576 4957851 999990808 24469262 999991419 24464748 978114341 716038664 978116271 716037235 978115204 716006163 978117253 716004817 999999983 28698081 999999996 28485931 999999829 23194838 999999899 23155439 999999990 203126555 999999991 200368639 999999598 17539537 999999829 17527598 984099054 548486910 984100593 548485118 999999997 654085452 999999998 651327566 999999999 888375144 1000000000 885617302 999999948 113029605 999999959 112778903 999974466 135226398 999976244 135224847 978098346 716031342 978099848 716029506 999999149 25607367 999999314 25590654 999975821 78119404 999977031 78117125 999998292 624866191 999999476 624863862 998910550 2039 998911903 1 999992889 16305348 999994077 16303027 978687403 715754743 978689381 715753349 992093236 719751958 992095357 719750658 978489205 716062607 978491935 716061597 999999923 220008616 999999955 219922451 999999975 856068876 999999982 855674984 983756885 548490606 983758265 548488608 999996307 651579219 999997674 651577202 999999607 6054728 999999730 6032312 992128042 719865062 992129507 719863180 999993701 135218412 999995884 135217149 999164772 4819540 999166327 4817767 999999435 734965294 999999752 734956597 999995662 10979778 999996890 10977533 999993474 20124580 999995338 20123101 978602601 715743575 978604404 715742046 999999946 748428776 999999975 748333716 999995327 11020123 999998051 11019111 999981420 10300677 999982629 10298397 999993513 30218625 999994581 30216044 999999410 227970832 999999909 227965308 999999991 738828242 999999992 736071773 999999989 167688383 999999990 164931916 999182550 4813286 999184126 4811537 999991419 24443696 999991537 24420337 984066242 548454410 984068179 548452987 984091732 548709625 984093523 548708086 999990808 23621014 999991419 23616503 999997988 30174219 999998840 30170984 999988178 81529118 999990417 81527887 999998060 63435035 999999365 63432923 999998060 62970425 999999365 62968313 999998060 59883683 999999365 59881571 999998060 56302842 999999365 56300730 984080704 548570998 984082255 548569221 977958823 715749972 977960269 715748066 978109225 716052754 978110746 716050942 978577808 715788062 978579593 715786518 999999435 775378503 999999752 775369809 984069608 548555483 984070921 548553384 993136676 710131296 993137563 710128189 984089450 548700923 984091032 548699181 999999969 710247099 999999993 710132273 984093038 548850377 984094660 548848678 984092516 548701896 984093531 548699181 999993827 625330093 999995580 625328521 999985286 78126300 999987228 78124881 999113041 81580347 999114696 81578682 999999638 8339715 999999843 8326274 998736724 196294208 998738370 196292534 999999329 776357033 999999435 776331040 999997129 196222832 999999045 196221394 999997129 196159195 999999045 196157757 999994480 625287015 999995951 625285142 999999970 21815956 999999978 21471560 993351453 700622510 993352823 700620499 998821784 196254915 998823928 196253630 999999144 9988652 999999638 9983075 998835768 196256265 998836826 196253661 999998169 195876450 999999746 195874703 999999605 25714072 999999895 25704572 978112687 715905422 978114233 715903640 999998060 56316966 999999365 56314855 977346643 715061279 977348055 715059328 979492118 713840016 979493748 713838326 999999930 782993208 999999951 782862033 978100468 716042525 978101521 716039909 999997287 4281843 999999286 4280465 993358501 700672065 993360430 700670637 978020485 715834434 978021774 715832297 999999944 638919118 999999971 638817098 999996307 650813830 999997674 650811815 984071034 548557969 984072053 548555266 999999588 6957625 999999891 6948535 999977909 80993734 999979721 80992214 999999455 4461929 999999607 4443809 999981420 10621956 999982629 10619678 999999435 776925674 999999752 776916986 999992754 18917497 999994724 18916099 999997804 24908447 999999367 24906685 999998292 624120197 999999476 624117871 984079979 548713626 984081732 548712055 978116386 715957813 978118037 715956145 977364796 715065590 977366291 715063748 999999948 137284518 999999959 137034175 984079170 548823524 984081144 548822129 999024557 4965123 999026464 4963679 993233508 700596450 993235184 700594807 998862131 196264503 998863876 196262925 999101932 81571999 999103493 81570235 999999909 203305624 999999919 203030265 999998060 63968926 999999365 63966816 999973689 78094284 999977589 78093578 978614695 715741195 978615848 715738807 978685334 715747358 978686836 715745525 992135750 719843398 992137725 719842004 999996307 657189209 999997674 657187195 999996307 650621215 999997674 650619201 999999144 10924674 999999605 10918702 999999969 713816885 999999993 713702173 999999455 4718402 999999607 4700290 978615856 715747913 978617262 715745955 999981420 10224161 999982629 10221884 999985673 133241090 999986963 133238956 999983078 26683458 999984773 26681834 999994156 225756070 999994326 225739878 999999955 216893129 999999976 216762055 999999841 643093875 999999884 643029863 999153992 4971801 999156228 4970570 999999944 638019525 999999971 637917581 999982188 30775006 999986700 30774396 999999990 213337051 999999991 210584738 999999993 83510817 999999994 80758547 977324611 715070419 977325538 715067450 984096133 548488153 984097851 548486551 983655602 548952185 983657268 548950533 998752294 196281441 998753942 196279771 999999936 9805847 999999965 9710945 983659334 548953086 983660197 548949897 999999435 732579389 999999752 732570708 999004403 4977101 999010321 4976636 999998169 91592615 999999746 91590870 993229329 700619753 993230502 700617407 992054516 719741332 992056854 719740155 999999837 28594446 999999983 28575598 984068100 548854324 984069607 548852498 998827791 196260431 998829343 196258658 999996507 10929047 999998517 10927678 984059038 548449830 984060162 548447382 999999948 83587052 999999959 83336914 999994237 625109858 999995734 625108020 999999410 229983706 999999909 229978192 983979589 554692380 983981416 554690874 998824508 196257962 998825411 196254915 999997129 196034314 999999045 196032878 999999971 634717644 999999983 634488380 993121713 710126992 993123185 710125123 999999975 899382921 999999982 898989898 999993032 624951719 999996307 624950879 999993032 624942371 999996307 624941531 999994156 227336691 999994326 227320509 999977353 30755216 999978771 30753276 999995136 30253404 999996981 30251913 999999542 27072543 999999837 27063218 999999948 69291414 999999959 69041338 999990808 23781806 999991419 23777304 993341374 700591374 993343135 700589812 999997287 5071812 999999286 5070436 999999948 195416885 999999959 195166829 992116376 719849421 992118638 719848205 984089392 548718127 984091043 548716461 999999894 5997173 999999965 5958433 999999982 754343294 999999983 751592779 978116710 715965715 978118379 715964067 999150167 81564828 999152789 81563779 999998292 624565606 999999476 624563283 999996307 657883432 999997674 657881420 999996307 651484870 999997674 651482858 999996307 651148507 999997674 651146495 999999925 647740868 999999979 647689935 999999884 640149502 999999925 640082420 999999144 10318529 999999605 10312563 978099084 716064818 978100762 716063179 978626151 715746872 978627396 715744663 999991696 81531274 999993235 81529487 999998840 30547247 999999605 30543652 998830508 196253204 998832145 196251524 978017078 715843994 978018799 715842396 992108146 719745017 992109880 719743431 999999598 24085540 999999829 24073635 999999329 776114243 999999435 776088300 984081604 548457296 984082656 548454682 999999329 776989407 999999435 776963465 978026429 715744004 978027170 715740293 998833009 196266786 998837188 196266128 999990746 81534493 999992329 81532756 999999638 8922834 999999843 8909421 999999435 735613058 999999752 735604384 999998060 63089642 999999365 63087535 999999998 151915979 999999999 149166558 999999542 29109903 999999837 29100583 977346733 715070876 977347778 715068245 999993714 80992214 999995884 80990947 999999598 17145356 999999829 17133454 999981420 9606427 999982629 9604153 999994666 9038708 999996195 9036910 999996307 651179535 999997674 651177524 977350467 715082338 977351884 715080398 999994156 225772240 999994326 225756070 999971889 133259374 999980347 133259049 992137766 719741087 992139212 719739186 999996294 11023600 999997792 11021765 999143667 81575407 999145975 81574216 999999948 145892250 999999959 145642360 999999623 26697744 999999920 26688489 999999435 721283519 999999752 721274848 999999982 164367432 999999988 163909319 978113629 715968064 978116146 715966972 999999969 695335196 999999993 695220673 978598660 715743539 978601212 715742462 983979986 554580452 983981416 554578530 999997560 24923741 999999367 24922220 999151958 4948375 999153344 4946392 984092126 548822471 984093553 548820545 999992863 64106072 999994725 64104596 978104492 715892224 978106214 715890628 998898842 91966663 998899536 91962703 984084693 548829597 984086093 548827634 978686633 715808414 978688596 715807014 999999948 79065574 999999959 78815738 984098339 548834932 984099800 548833051 999999286 6710206 999999455 6693945 978113968 715990529 978115576 715988820 999998292 624160518 999999476 624158197 999981420 9643737 999982629 9641464 999999992 73055633 999999993 70307597 998892597 91966663 998894393 91965133 999979757 30786726 999981625 30785255 999999435 776589288 999999752 776580620 999994156 221057977 999994326 221041814 984093270 548508243 984094548 548506093 999996307 656971612 999997674 656969602 993095907 710177575 993097385 710175716 993100354 710116254 993102325 710114860 999999476 636500483 999999484 636157038 999179240 4830888 999181148 4829448 983970200 554672217 983971458 554670033 999978794 30775006 999980411 30773307 999999899 23626509 999999943 23564072 983746309 548522629 983747669 548520609 999993865 19037179 999995338 19035314 999985048 81179949 999986913 81178476 993331182 700606854 993332441 700604672 999982380 78115905 999983557 78113571 999018679 4970329 999020231 4968559 984048451 548461465 984049615 548459105 999998060 63344651 999999365 63342546 999998060 59842674 999999365 59840569 999998060 56720537 999999365 56718432 999999730 5622644 999999894 5605894 999996860 10920727 999998678 10919216 984100972 548540844 984102469 548539009 992142446 719877343 992144178 719875757 999999859 11857459 999999922 11813857 992134082 719866354 992136208 719865062 999066739 91964685 999068741 91963313 999144976 4947407 999145837 4944217 999088687 91966663 999090597 91965225 999975016 133223084 999976780 133221527 999971889 78104410 999973023 78101988 998747391 196293730 998749433 196292385 999983716 78110876 999985324 78109168 999996307 657730264 999997674 657728255 998974485 91966270 998975605 91963818 993360430 700632669 993361540 700630195 999999998 94248347 999999999 91502275 999999410 228852814 999999909 228847311 999985607 135198544 999987954 135197374 983759112 548520224 983760282 548517877 999999841 652914488 999999884 652850628 992047975 719863304 992049935 719861903 999991419 20785460 999991537 20762190 999990808 23535685 999991419 23531191 979504766 713838206 979506368 713836492 984090507 548833513 984092266 548831952 983970496 554600709 983973126 554599665 978585431 715739119 978588041 715738067 999998060 63415634 999999365 63413530 999998060 63241589 999999365 63239485 999981420 9959661 999982629 9957390 978107329 715918238 978109045 715916638 999987107 80975103 999990682 80974335 998958169 91963528 998961497 91962703 984029662 548462753 984031131 548460884 999998169 91429450 999999746 91427709 978683847 715757188 978685616 715755636 999999925 657712544 999999979 657661702 984100449 548840081 984102826 548838926 999971889 133282588 999974266 133281433 999999598 20016536 999999829 20004651 999994187 624808718 999996307 624807423 999981182 134197887 999983832 134196851 999999837 26817265 999999983 26798461 999975941 134195396 999977693 134193829 999178313 4811460 999179789 4809600 999999969 707582500 999999993 707468114 999999975 779502911 999999982 779110737 978621866 715747361 978623968 715746055 999999949 7185430 999999958 6880411 983750523 548489252 983751587 548486672 978594052 715739571 978595444 715737599 999973650 81161458 999977014 81160642 999997365 10906256 999999144 10904713 999996307 651446932 999997674 651444924 999996307 651356171 999997674 651354163 999996307 651014087 999997674 651012079 999999930 785910399 999999951 785779688 978577634 715757860 978579578 715756448 999999975 959679613 999999982 959287482 979508404 713838605 979509703 713836492 999994156 221191623 999994326 221175478 999994176 18998787 999995338 18996425 999997287 4314215 999999286 4312842 999981420 10357213 999982629 10354943 999998060 62950255 999999365 62948152 999998060 60312893 999999365 60310790 978106207 716024302 978107430 716022058 999999982 64574886 999999988 64117499 999065907 91966663 999066600 91962703 999979208 78115690 999981023 78114178 999999605 25100126 999999895 25090663 999999976 228464173 999999984 228121142 999999925 655844699 999999979 655793880 999999884 640372945 999999925 640306015 999999982 135488769 999999988 135031430 999990808 15805863 999991419 15801372 999997223 81175983 999998050 81172665 999016060 4970224 999017708 4968559 978104346 715995278 978106575 715994047 998856671 91966663 998858054 91964679 999994600 9061222 999995795 9058926 993359055 700643691 993361869 700642716 999999435 773901760 999999752 773893105 998851341 196266035 998852680 196263986 999999944 625766716 999999971 625665101 999999598 22336018 999999829 22324141 999994042 624785640 999995409 624783633 999999314 25093625 999999605 25084197 999999410 229568674 999999909 229563176 999999329 724460552 999999435 724434670 999999925 644034440 999999979 643983636 993103538 710122087 993104436 710119032 999999991 66860870 999999992 64117499 999979840 81516357 999983098 81515515 999999993 869716479 999999996 868802095 984015365 548450137 984017784 548449003 984097138 548472974 984098534 548471009 999994156 226179976 999994326 226163840 993144636 710133685 993145700 710131107 999994786 625302060 999996289 625300235 999999829 15906793 999999899 15867608 999992640 18951994 999994099 18950114 978579903 715770219 978582288 715769069 999971889 133268566 999973259 133266564 998857955 196269294 998859647 196267673 999999925 648261577 999999979 648210786 999999598 18787479 999999829 18775606 999994156 229670519 999994326 229654386 999994156 226594865 999994326 226578732 999149351 81569413 999150167 81566052 977310721 715067377 977311941 715065129 999999998 133944204 999999999 131201664 999999944 619720984 999999971 619619409 999987091 133216268 999989365 133215062 999998169 91038634 999999746 91036895 983972816 554634888 983974416 554633174 999989176 78131772 999990664 78129929 993114775 710125755 993116320 710123980 999999955 209491803 999999976 209361214 993158961 710116529 993161894 710115594 999996667 10934209 999999025 10933046 999994156 226405977 999994326 226389846 999002781 4945369 999004730 4943962 999996307 651567132 999997674 651565126 998870991 196267717 998871994 196264983 999991292 133251915 999993215 133250489 984089334 554483690 984091704 554482533 999999710 3067670 999999947 3056100 977957699 715786379 977961201 715785596 999981420 10415379 999982629 10413111 998865622 196256864 998868000 196255711 999998060 56460006 999999365 56457905 978098452 716043860 978100468 716042500 999995852 24944355 999999367 24943575 984081891 548581573 984082255 548574041 983970943 554609904 983971871 554606950 999999329 733415988 999999435 733390127 999999994 141439480 999999995 138698247 999999822 14571641 999999980 14554292 999999410 228925858 999999909 228920365 999999410 227922867 999999909 227917374 999999923 203248477 999999955 203162821 999998292 623959799 999999476 623957484 999978823 30800938 999980089 30798773 999999789 718160026 999999932 718140859 999999923 226443411 999999955 226357763 999999314 25554039 999999605 25544621 999995258 81180232 999996902 81178565 999986858 133249003 999988502 133247336 999999923 196831516 999999955 196745875 999999944 632467625 999999971 632366127 978118943 716022909 978119718 716019373 999999976 199343960 999999984 199001415 992082179 719746490 992085639 719745698 999999955 208053890 999999976 207923402 977349462 715065809 977351736 715064604 999999969 702165399 999999993 702051226 999993952 18892550 999995338 18890573 999994156 221509996 999994326 221493878 978684810 715801918 978685877 715799350 978001423 715740178 978003234 715738665 999993631 624821089 999995448 624819581 978028789 715826779 978030397 715825075 999999329 733360463 999999435 733334614 999113798 81559221 999117056 81558380 999996399 133234520 999998169 133232972 999993734 16339179 999995327 16337459 999999710 53465 999999947 41904 999995827 29971260 999997714 29969808 999999435 733976976 999999752 733968333 999148752 4954447 999150597 4952962 998735887 196315126 998737149 196312955 984090361 548830415 984091735 548828421 999999144 7266022 999999638 7260476 978480492 716062628 978482201 716061025 999999923 226762713 999999955 226677104 999999998 724560213 999999999 721820772 999992727 18992907 999994463 18991329 999999923 217732447 999999955 217646842 999996815 9067811 999998283 9065945 999156852 4972857 999159446 4971801 999998169 195629625 999999746 195627888 999999598 23372620 999999829 23360762 999157196 81584825 999159010 81583315 978689093 715820957 978690297 715818682 984051283 554477274 984052396 554474813 983970258 554647919 983971908 554646259 999992670 16257266 999994076 16255318 977367628 715060379 977369296 715058737 999177965 4805996 999180527 4804927 999010740 4955288 999012490 4953723 978596201 715747913 978597679 715746060 999999992 188070681 999999993 185332014 984081419 548718418 984083055 548716744 999997287 4979991 999999286 4978621 999999410 230940563 999999909 230935075 984086815 548551582 984087784 548548756 999999997 983379427 999999998 980641155 999995037 624966746 999996307 624964590 999996307 650918380 999997674 650916377 998821784 196253630 998823928 196252353 978106673 716015266 978108730 716013935 999142441 81561493 999143712 81559339 999999930 781834421 999999951 781704053 993123789 710135021 993124754 710132184 998998220 4952460 998999752 4950673 999998169 195328931 999999746 195327195 977358357 715080741 977359225 715077587 978114515 715918712 978116295 715917174 999999435 721126975 999999752 721118339 999977200 133288441 999978800 133286730 999999542 27399485 999999837 27390205 999991138 81177210 999992321 81174896 999999946 732108467 999999975 732014072 999998292 624562069 999999476 624559757 999991537 20127885 999993095 20126128 999985788 30787516 999988477 30786498 999999982 74021419 999999988 73565186 999991419 22118024 999991537 22094826 998823197 196260406 998824846 196258746 983645533 548920520 983647011 548918668 984074159 554481715 984075359 554479434 999999899 21080674 999999943 21018465 983654359 548934221 983655602 548932019 993331883 700618579 993333520 700616907 999992185 20234044 999993925 20232471 999999841 656859611 999999884 656795963 978107942 716036596 978109505 716034845 983745794 548520509 983749665 548519802 999996307 657631723 999997674 657629721 999996307 656978172 999997674 656976170 999996307 650779818 999997674 650777816 999999979 644990082 999999997 644838045 999998060 56093653 999999365 56091556 999999045 196136353 999999639 196131746 999106824 81569345 999108346 81567547 999999638 7316661 999999843 7303312 999999982 99865277 999999988 99409188 998871994 196271637 998873867 196270176 999999983 28148346 999999996 27937851 999999948 194265540 999999959 194016783 984026044 548463274 984027491 548461383 999998292 624620368 999999476 624618057 999999955 216385184 999999976 216254888 999999882 38682898 999999997 38659105 998758166 196310745 998760581 196309612 999999149 26075279 999999314 26058696 999998169 91573832 999999746 91572097 999998169 91072558 999999746 91070823 983970200 554597717 983974092 554597014 993370163 700654192 993371469 700652097 978617262 715747361 978619357 715746055 999999923 228105171 999999955 228019670 999994156 229912480 999994326 229896386 984097522 548704226 984099732 548702988 984091142 548859036 984093038 548857593 977329849 715070212 977331104 715068032 983833522 548546187 983836067 548545112 993234244 700624999 993235781 700623219 993091857 710189950 993093698 710188464 978017665 715738266 978019319 715736612 983972699 554607561 983974135 554605656 992124159 719746036 992125127 719743210 999184748 4829448 999186124 4827460 984089579 548468212 984092068 548467113 992121913 719883641 992123784 719882179 999991910 20102812 999993320 20100872 999972103 80999851 999973265 80997497 999999329 774789081 999999435 774763276 999155136 91964698 999157953 91963727 999998060 56319062 999999365 56316966 978116782 715942501 978118532 715940938 993145499 710118236 993146814 710116156 999999789 713697814 999999932 713678687 983978024 554601592 983979558 554599809 999999638 8115147 999999843 8101805 984095545 548959983 984097482 548958571 999998292 623827192 999999476 623824882 978634876 715746587 978636122 715744392 992120041 719752818 992122166 719751531 992048366 719874949 992049935 719873206 999999286 4327049 999999455 4310867 999999837 28256619 999999983 28237888 999999638 9162264 999999843 9148924 992095461 719740365 992097395 719738951 999993032 625172973 999996307 625172138 999999789 714769466 999999932 714750343 999999884 652114336 999999925 652047639 999999638 7297767 999999843 7284428 984081149 554479052 984082453 554476955 999999435 731967440 999999752 731958814 999991537 18975928 999993573 18974585 999999946 726179442 999999975 726085155 999985444 133226979 999987223 133225442 983749601 548544171 983751413 548542662 999999717 13608473 999999822 13582432 999999638 8326274 999999843 8312936 999999144 8270230 999999638 8264695 984100892 548543388 984101999 548540918 999999993 820587403 999999996 819675985 999999882 35385745 999999997 35361969 999999923 203498161 999999955 203412716 999153486 81563791 999155936 81562675 999999837 28133809 999999983 28115082 999982128 80962958 999983840 80961361 999990039 30785148 999993513 30784361 999996307 657131389 999997674 657129389 999996307 650568460 999997674 650566460 999999435 772005554 999999752 771996930 999999144 7518728 999999638 7513194 999997287 4982509 999998702 4980577 999989044 135249075 999991254 135247838 999976198 81142833 999977303 81140359 999977182 133274517 999981238 133273843 999999948 153232873 999999959 152984361 999994156 225906764 999994326 225890684 992067982 719744882 992070088 719743584 999981420 10730972 999982629 10728711 999999982 122615800 999999988 122160209 978016378 715739321 978018969 715738266 978022408 715850639 978023772 715848635 999993414 9074034 999994562 9071653 999999948 94285242 999999959 94036753 992141398 719878322 992142446 719875714 999999542 28664961 999999837 28655696 993113024 710118361 993114857 710116870 999998169 195258788 999999746 195257055 993227168 700621668 993230509 700620850 999999948 11709668 999999978 11618572 978577385 715813798 978579170 715812267 983976564 554595479 983977929 554593477 983648923 548933424 983649615 548929475 999998060 60097716 999999365 60095622 999996307 651400580 999997674 651398581 999996307 650521820 999997674 650519821 999994156 223043145 999994326 223027071 999999789 715888849 999999932 715869741 999999717 14187829 999999822 14161806 993349943 700630484 993352528 700629427 999999144 10247304 999999638 10241773 999991419 17206332 999991537 17183177 999976720 133283344 999978927 133282106 999999329 724849743 999999435 724823968 999991537 18942625 999994014 18941522 977343009 715061153 977344506 715059328 984086159 554485495 984087681 554483700 999997604 11036183 999999144 11034409 984098667 548956992 984099834 548954651 999994156 229357175 999994326 229341105 977327168 715080786 977328701 715079004 984086273 548558630 984088872 548557579 999999410 229593875 999999909 229588401 999999410 228419147 999999909 228413673 984069213 548590212 984070587 548588224 999998292 623918266 999999476 623915959 999998060 60075617 999999365 60073524 992133216 719868216 992134082 719865062 999991441 26683381 999994469 26682479 999990808 16177392 999991419 16172922 999999789 713432459 999999932 713413360 999999925 649806300 999999979 649755724 999996002 9056328 999997950 9054926 999999836 10985486 999999981 10966651 993353876 700686650 993355331 700684773 999999999 118408865 1000000000 115677892 999993835 20139336 999995338 20137519 999999588 7136154 999999891 7127141 999999948 117658274 999999959 117410014 999162065 4958068 999164335 4956865 999999993 899630510 999999996 898720261 999999969 669397708 999999993 669283927 999997588 30162058 999998840 30159877 999989037 64106072 999990887 64104596 993120865 710111420 993122720 710109948 999990808 23849220 999991419 23844751 999999410 229546471 999999909 229540999 999140265 4957655 999142656 4956513 984066505 548460520 984068815 548459338 999994156 227671871 999994326 227655810 978581099 715746745 978582427 715744689 999993636 625051864 999994989 625049846 999978125 81161458 999978918 81158015 977345766 715072725 977347778 715071368 977309129 715065841 977310721 715064126 993366313 700605345 993367590 700603207 999999987 639312256 999999990 638402202 999997134 24764479 999998621 24762643 999998060 56567624 999999365 56565532 999999329 724212928 999999435 724187173 978109033 716055956 978110301 716053803 999996307 657692616 999997674 657690619 999999948 106019693 999999959 105771527 999998169 90973201 999999746 90971470 999989037 64082027 999990476 64080130 999994142 30249190 999995902 30247639 999999996 90243697 999999997 87513958 984076021 548953006 984078142 548951719 998818143 196266861 998819254 196264404 993153264 710125301 993155006 710123734 999999435 774153208 999999752 774144597 983659139 548930682 983660197 548928102 984085345 548707606 984086514 548705271 999974999 81538998 999976202 81536729 999999946 767248736 999999975 767154612 999994430 81146375 999996440 81145017 978110181 715957605 978111342 715955254 998843058 196268207 998844901 196266726 999999435 773635785 999999752 773627175 999996839 30206507 999998840 30205143 999994005 625085307 999995240 625083097 999999974 991559480 999999975 988830164 999999455 6445693 999999607 6427737 999999314 25573200 999999605 25563821 999996887 81171328 999998028 81168936 977984401 715739212 977985710 715737127 993366265 700596778 993367238 700593973 999026158 4945900 999027449 4943786 999999955 210086506 999999976 209956548 999993768 80961552 999994630 80958386 998854634 196260164 998856722 196258857 999997109 11074910 999999144 11073569 999975860 80962136 999977146 80960014 999999936 9899946 999999965 9805847 999999996 777800324 999999997 775071495 999971889 78096033 999973689 78094517 999999476 632666974 999999484 632325882 978110751 716018849 978112629 716017396 999999925 650410921 999999979 650360389 999999789 718002046 999999932 717982964 978100905 716004598 978103162 716003389 977308724 715071232 977310900 715069978 999999822 12450397 999999980 12433127 999999410 228258731 999999909 228253263 999996437 11013432 999997982 11011666 978106165 715971770 978108069 715970337 999999641 646879343 999999644 645969866 999999955 211476532 999999976 211346609 999993786 625264463 999995045 625262296 999999329 721045440 999999435 721019702 984072092 548564817 984072993 548561789 999175639 4840323 999177261 4838641 993352403 700666104 993354223 700664605 999999542 28418488 999999837 28409240 993098479 710116273 993100354 710114818 999990808 24182440 999991419 24177975 999999435 772118720 999999752 772110114 999999925 648920778 999999979 648870258 999993032 624752705 999996307 624751872 999999990 618882375 999999992 617518357 999993414 11118275 999995204 11116751 993365987 700591707 993367511 700589917 984075012 548729590 984076497 548727753 999999829 21322786 999999899 21283817 992114111 719875942 992115832 719874357 999134618 81586667 999135672 81584079 999991537 19022394 999992998 19020527 992113253 719744019 992115951 719743008 978110712 715973868 978112420 715972271 983758355 548513050 983760613 548511842 999973624 134193829 999974218 134189237 999999410 230342565 999999909 230337099 999999410 229010562 999999909 229005096 999990808 16266649 999991419 16262185 999981420 10939213 999982629 10936957 999995070 29997689 999996161 29995189 999993925 81512228 999994848 81509273 999999923 206683722 999999955 206598489 999974794 78104660 999976357 78102915 984066761 548556559 984069608 548555601 999999976 211863077 999999984 211522156 999999948 102518183 999999959 102270241 984099766 548841415 984102054 548840223 999994447 81531274 999995830 81529302 992144178 719846834 992145657 719844990 999997043 135210880 999998169 135208458 984040397 548448454 984042941 548447382 999999837 29576459 999999983 29557780 999999638 8290944 999999843 8277641 992113715 719864094 992114974 719861928 978110955 715885534 978112311 715883523 999985140 30802672 999986579 30800777 999992520 133214112 999994558 133212774 999999925 648801982 999999979 648751485 999997287 5046310 999999286 5044946 999998169 195828533 999999746 195826804 999995311 78131017 999998169 78130063 984071435 548572906 984074801 548572096 999998840 30224780 999999605 30221216 999994150 625258828 999996307 625257564 999993513 30162235 999995682 30160978 999999329 726274164 999999435 726248443 999999841 654464741 999999884 654401336 984081643 548961057 984084828 548960201 999999329 777556551 999999435 777530831 999999944 619934428 999999971 619833454 999973115 133264291 999974470 133262279 978103895 715874622 978105236 715872589 999999955 926096 999999960 380879 978578146 715775301 978579507 715773298 999976476 135199637 999978273 135198120 999999975 987719721 999999982 987330301 999999999 190213283 1000000000 187487347 999999435 774873385 999999752 774864786 998743290 196294208 998745100 196292702 999996307 657171547 999997674 657169553 983978174 554662007 983980565 554660867 999999882 30919455 999999997 30895753 999999329 721799495 999999435 721773781 978683847 715747358 978685334 715745525 978090830 716007465 978092157 716005411 999997618 196119850 999999045 196117940 999985231 30773291 999986680 30771410 999999410 229046314 999999909 229040852 999999410 227837544 999999909 227832082 999999789 712752628 999999932 712733569 999999607 5802319 999999730 5780161 999987232 80953321 999988710 80951477 999999931 622436747 999999944 622227111 979519596 713839384 979521186 713837670 999994121 30173180 999995362 30170984 999999979 643123204 999999997 642971803 983650669 548914244 983652542 548912789 999987467 30754171 999989035 30752433 999999329 730967414 999999435 730941705 999169345 4831293 999170822 4829448 978597990 715747913 978600042 715746585 999998169 195619967 999999746 195618239 999999410 228858275 999999909 228852814 983836314 548535907 983838209 548534469 999999997 46753626 1000000000 45845306 999999144 7371072 999999638 7365556 993362305 700664933 993363803 700663114 998754715 196271958 998755829 196269512 999998060 63280001 999999365 63277913 999998060 56727373 999999365 56725285 999999607 6119142 999999730 6096989 978501962 716049123 978503284 716047062 992076999 719747966 992078774 719746431 999999995 115166238 999999996 112441625 999999975 799345747 999999982 798956537 999174030 4829214 999175425 4827261 999996307 656779517 999997674 656777524 999996307 656636997 999997674 656635004 999996307 651350653 999997674 651348660 999998292 624507334 999999476 624505033 999999988 202164128 999999989 199439766 999989682 80950629 999991034 80948614 999999329 728634333 999999435 728608633 999999930 788482421 999999951 788352699 999999638 9138123 999999843 9124835 999999638 8777862 999999843 8764574 999985005 30754244 999986614 30752551 984098701 548720205 984100394 548718596 983753726 548523881 983755480 548522328 999999329 721955361 999999435 721929664 999999882 35605254 999999997 35581569 978001423 715742645 978003234 715741141 993230405 700610709 993232118 700609119 999125118 81583524 999127020 81582092 998758893 196305349 998760497 196303651 999999789 713895233 999999932 713876187 999999946 753882769 999999975 753788853 999974424 135262548 999976263 135261067 999999605 30431797 999999855 30420903 999999605 30232248 999999855 30221354 999998169 195314605 999999746 195312878 993109168 710125755 993110792 710124078 999977141 81535619 999979449 81534439 999996307 29976379 999998055 29974821 999999435 771955040 999999752 771946449 999999976 215257809 999999984 214917391 999998337 24794820 999999367 24792176 977992997 715747554 977995618 715746515 999998292 624474974 999999476 624472674 999999841 653534411 999999884 653471082 984078740 548729590 984081499 548728603 984088590 548452492 984089834 548450303 999999974 791384395 999999975 788661286 978000047 715744317 978001423 715742338 999993400 133250135 999998169 133249564 999999975 936608817 999999982 936219805 999994505 20192937 999995338 20189668 999996307 657007745 999997674 657005753 999996307 651406924 999997674 651404932 999993414 9061222 999994600 9058926 999999410 229778017 999999909 229772560 993131071 710133940 993132466 710131988 999999435 735001165 999999752 734992575 999999946 722095145 999999975 722001249 992138149 719883106 992140611 719882000 999999144 7889930 999999638 7884418 998820748 196260502 998821820 196257962 998755048 196296014 998757464 196294887 999994314 24640759 999995797 24638923 984094638 554472871 984096811 554471618 999982712 80975532 999984432 80973949 999999329 730016327 999999435 729990641 999999435 721249712 999999752 721241123 983745794 548535340 983747389 548533633 999992457 20321888 999995338 20320943 998745100 196266874 998747930 196265912 984048859 548450416 984052032 548449558 999999930 790321056 999999951 790191418 999996917 24778923 999998701 24777397 999994274 81141763 999995658 81139796 999997918 5076398 999999286 5074408 999998060 62808752 999999365 62806666 999999455 4396785 999999607 4378876 999999789 713295314 999999932 713276278 999999969 667146125 999999993 667032703 999974184 78072226 999976309 78070945 999999329 733887587 999999435 733861907 979490011 713840549 979491790 713839019 999992629 16363073 999994510 16361626 999993884 625305372 999995790 625303944 999999435 776372300 999999752 776363714 999999435 775176359 999999752 775167773 999999435 774240741 999999752 774232155 999999435 772517100 999999752 772508514 999999435 772498931 999999752 772490345 999996307 651596495 999997674 651594504 999996307 651585899 999997674 651583908 999996307 650740294 999997674 650738303 999996307 650262185 999997674 650260194 999991806 78077004 999993871 78075686 999999947 1170827 999999955 830643 999981420 9831258 999982629 9829007 978027008 715737669 978028838 715736182 983833612 548549489 983835054 548547602 999999410 230047911 999999909 230042458 999999329 734055732 999999435 734030062 999993307 20097006 999994817 20095204 978096257 716064818 978098103 716063344 979522023 713843421 979522697 713839384 999999843 7293650 999999936 7264393 999999946 757340926 999999975 757247103 992118586 719751367 992120041 719749497 999999435 734795425 999999752 734786842 999017759 4962064 999019562 4960555 993371133 700684547 993373025 700683109 978111031 715908870 978113111 715907562 999999476 623699334 999999484 623359254 999997287 4440069 999999286 4438708 999993032 624988792 999995198 624987536 999998840 30488965 999999605 30485409 999996307 650631294 999997674 650629304 999996307 650137600 999997674 650135610 993370244 700617897 993372265 700616551 977996901 715737194 977999589 715736182 999999816 24894214 999999966 24876079 999999435 731913464 999999752 731904883 999999975 871143720 999999982 870755126 999999999 649701199 1000000000 646981079 979532405 713840071 979533165 713836492 993331054 700595666 993333054 700594306 998735777 196263181 998738078 196261999 999999329 731235998 999999435 731210340 999999605 25543997 999999895 25534619 999998060 63808673 999999365 63806589 999999710 174478 999999947 163003 984098853 548450914 984100208 548448907 977329654 715067721 977331373 715066139 983973929 554585055 983975195 554582907 978111031 715914191 978112040 715911496 999999435 774672528 999999752 774663950 999994447 81525447 999996713 81524247 977350366 715064604 977352604 715063389 999153919 4945947 999154626 4942101 999999930 809175854 999999951 809046375 999999410 230704122 999999909 230698673 999981420 10603807 999982629 10601558 999981420 9787430 999982629 9785181 999999822 15193492 999999980 15176283 999999144 8879974 999999638 8874470 999996307 656764437 999997674 656762448 999999923 198670461 999999955 198585495 984071067 548582721 984074399 548581905 999999435 774180995 999999752 774172418 999999975 947208763 999999982 946820349 984046785 554475837 984049650 554474888 984086191 548517601 984088140 548516206 999998840 30360377 999999605 30356823 998990224 4954380 998992166 4952980 999991537 20179027 999993009 20177180 999998169 91450878 999999746 91449154 983746425 548513420 983748216 548511902 999999410 230128515 999999909 230123067 999999329 776170816 999999435 776145170 999998292 624500355 999999476 624498059 999998292 623462756 999999476 623460460 999994877 625208159 999996307 625206258 984100375 548956484 984101858 548954651 999148752 4963020 999150918 4961765 999999978 741057128 999999980 739697967 999999997 806532991 999999998 803814736 999999314 26245224 999999605 26235883 999999946 748522506 999999975 748428776 999160896 4973831 999163704 4972863 993352403 700664605 993353647 700662420 999999329 732970006 999999435 732944364 999999944 621927096 999999971 621826429 999999144 8037827 999999638 8032325 999991537 20302385 999993032 20300567 978023551 715746157 978026693 715745292 978001707 715747094 978003148 715745208 993227190 700616558 993228631 700614672 999966167 1238 999968364 1 993108444 710130368 993110211 710128830 984077989 548563491 984081416 548562698 999999999 811180883 1000000000 808463344 993370477 700657107 993372117 700655450 999999930 804963353 999999951 804833952 993102699 710125920 993104077 710123948 999999999 799966551 1000000000 797249168 999999435 735420383 999999752 735411811 992120767 719889593 992122618 719888125 999998169 91266740 999999746 91265017 999990808 23770349 999991419 23765902 999999598 20924927 999999829 20913165 999999598 19767300 999999829 19755538 999998060 60257045 999999365 60254963 999998060 60035186 999999365 60033104 999999638 9265992 999999843 9252739 984083177 554484705 984084534 554482703 999999435 734490884 999999752 734482314 999997287 4912075 999999286 4910716 999999923 223017957 999999955 222933064 984071032 548720275 984072747 548718691 999996216 26688488 999997686 26686640 999994219 624928669 999996307 624927368 999999976 196866957 999999984 196527397 999999329 724315477 999999435 724289850 999996307 656596482 999997674 656594495 984081792 548850642 984083175 548848678 999991537 16262884 999992472 16259979 999977589 78092377 999979885 78091194 999996176 24871107 999997630 24869239 999972687 78125981 999974375 78124372 999999993 843117239 999999996 842211967 999997021 196125252 999997129 196100106 998758975 196274100 998760581 196272409 999974957 81527644 999976812 81526180 999999993 847540451 999999996 846635223 999999286 6365035 999999455 6348966 999999329 726673848 999999435 726648229 999998169 90733216 999999746 90731494 984100869 548486282 984102392 548484499 993226461 700606324 993227764 700604240 999150918 4962332 999152367 4960458 999999329 735254708 999999435 735229092 999979057 135205407 999980834 135203879 984076320 548855098 984078360 548853767 984025203 548459978 984027910 548458975 999999989 164931916 999999990 162216895 992131734 719860117 992133234 719858307 999999605 10736228 999999836 10724475 977992625 715741349 977994158 715739578 999999955 218960121 999999976 218830843 999141794 81565348 999142441 81561152 977982231 715740745 977984401 715739494 993353188 700653484 993354936 700651931 999997287 5151732 999999286 5150374 999999923 229120580 999999955 229035748 999999948 170394774 999999959 170147995 999999969 674988278 999999993 674875171 999992683 80990947 999995884 80990099 983751181 548520509 983753106 548519099 978111726 715970341 978112918 715968064 999999435 720908515 999999752 720899953 999981388 133213873 999983342 133212484 999992300 20297455 999994240 20296056 999999144 9912360 999999638 9906866 999998169 90924440 999999746 90922719 993336944 700592361 993337864 700589411 999999638 9681465 999999843 9668227 998758556 196270319 998760158 196268625 999999598 17710124 999999829 17698376 998879493 91966257 998881541 91964932 999999410 228693425 999999909 228687987 999996307 651328865 999997674 651326880 999993032 624929654 999994219 624927368 999999946 763429263 999999975 763335695 999990808 23998333 999991419 23993892 999990808 16280964 999991419 16276523 999999946 753788853 999999975 753695286 999999542 26919048 999999837 26909850 999988111 133275401 999989902 133273886 999165882 4813278 999167916 4811944 983972378 554581678 983974432 554580357 999997714 4472426 999999286 4470700 999999435 777311227 999999752 777302668 999999975 812391213 999999982 812003613 977342432 715082543 977343860 715080643 993359919 700612343 993361599 700610728 999991911 20295228 999993330 20293316 983648445 548944895 983649879 548943003 999998060 56360513 999999365 56358434 999999882 38428591 999999997 38405000 999999329 725610106 999999435 725584512 999999605 25740810 999999895 25731455 999999435 777302668 999999752 777294110 999999435 774585547 999999752 774576989 978106036 715980854 978108022 715979488 993165358 710133502 993168297 710132579 999982344 78096356 999984304 78094972 999978374 81001609 999979917 80999851 999999144 9786012 999999638 9780521 999999329 720485081 999999435 720459491 999999975 808598022 999999982 808210518 999999144 11003544 999999605 10997660 983763455 548552309 983764673 548550082 999999990 632204637 999999992 630848405 999999909 223397126 999999919 223125882 999998169 195651725 999999746 195650005 999993732 133294995 999994325 133290421 978107970 715901531 978110749 715900555 992132032 719744970 992133245 719742734 999999909 197273636 999999919 197002411 999999970 19688145 999999978 19349118 999993846 625251008 999995555 625249421 999999598 22739815 999999829 22728074 999996307 657855404 999997674 657853420 999996307 656943535 999997674 656941551 999996307 650661088 999997674 650659104 999996307 650230849 999997674 650228865 999999605 26025001 999999895 26015649 999999899 17534708 999999943 17473071 983652901 548952937 983654726 548951451 999991537 16272916 999993158 16271243 999987791 135202039 999989242 135200170 999999997 121420519 999999998 118708680 999999314 25592147 999999605 25582828 993361869 700646758 993365594 700646030 999999329 727406239 999999435 727380656 999998060 63096706 999999365 63094628 984074521 548956487 984075949 548954588 999999946 724582016 999999975 724488508 999999978 747821243 999999980 746465408 999991419 18341794 999991537 18318814 999999971 630960569 999999983 630734603 999997287 5106607 999998801 5104816 999999410 231205368 999999909 231199934 999999975 766875465 999999978 765971610 999994314 24740773 999995896 24739059 984101100 548700073 984102826 548698502 999994156 228712487 999994326 228696537 999139664 81585526 999141794 81584253 983755577 548489997 983756885 548487924 999999998 943853466 999999999 941141983 999999789 717498636 999999932 717479675 999999367 24651123 999999638 24641118 999999956 15782910 999999970 15589242 999999930 798385564 999999951 798256453 999991791 135199219 999993555 135197682 984091805 548530275 984093721 548528860 993347206 700633702 993373025 700633597 999999998 663208529 999999999 660497537 992107178 719740442 992108579 719738507 999994077 16305348 999995245 16303027 978015757 715744634 978018969 715743790 999999884 648767330 999999925 648701210 999981389 135215203 999984699 135214384 979503599 713842813 979506368 713841834 999999946 723388682 999999975 723295207 999994917 11080668 999996969 11079347 983640651 548946131 983642823 548944883 999994156 221551001 999994326 221535056 999981238 133264209 999985711 133263603 984101198 554476838 984102826 554475173 999979352 81175795 999980939 81174087 999981420 10460973 999982629 10458731 983753751 548494140 983758574 548493578 999141807 4968374 999146029 4967732 983645126 548956707 983646319 548954435 999991419 18983354 999991537 18960384 999990808 23930290 999991419 23925854 984066214 548721172 984067524 548719103 978114057 716064791 978115479 716062885 999993196 81509273 999998169 81508728 992129695 719842054 992131293 719840358 983648140 548925645 983650212 548924337 999999542 29819382 999999837 29810195 984011773 548462826 984013319 548461073 984020303 548449196 984021797 548447382 999999997 206578837 999999999 205223787 999999144 9955345 999999638 9949859 999999144 8047904 999999638 8042418 983645314 548934448 983647076 548932910 999999730 4617903 999999894 4601379 999999607 6177204 999999730 6155172 999999930 781224998 999999951 781095955 984072195 548955753 984074521 548954588 978112961 716060693 978114445 716058867 999999435 733728594 999999752 733720046 999999710 353773 999999947 342340 993092528 710139325 993094749 710138105 999983381 26686523 999985822 26685413 984068732 548705053 984072699 548704370 993236021 700615717 993237357 700613689 999996307 650163076 999997674 650161094 999981420 10959946 999982629 10957705 999981420 10060582 999982629 10058341 999993513 29976134 999995898 29974998 999999969 686763929 999999993 686651041 983754776 548536151 983756012 548533959 999998169 195856205 999999746 195854487 999998169 195767326 999999746 195765608 983638376 548943710 983639824 548941839 999998060 60207914 999999365 60205838 977355842 715072811 977357549 715071224 999998292 624536998 999999476 624534710 999993513 30225831 999998567 30225295 999999986 757629232 999999988 756274776 999170768 4837270 999172083 4835210 999996920 24838045 999999367 24836938 984075012 548714670 984077686 548713657 983645314 548930304 983646299 548927554 998742147 196283717 998743224 196281202 978106741 715872605 978108554 715871111 998869660 196271370 998870991 196269335 978496586 716045448 978498553 716044071 999994506 135199649 999995883 135197682 983747994 548550966 983749274 548548850 999999710 2020493 999999947 2009065 993362512 700646030 993364108 700644333 999994314 24685185 999999367 24684649 993362384 700626950 993363887 700625148 999999997 756985443 999999998 754277059 983759412 548490375 983760517 548487924 993346712 700612948 993347741 700610316 999994452 625368277 999996307 625366817 999994156 223690931 999994326 223675000 999994314 24744925 999996586 24743733 977363002 715078594 977364920 715077182 999981420 10340560 999982629 10338320 999098603 91964865 999100618 91963521 977321279 715076478 977323519 715075269 999999955 204781738 999999976 204652779 993354025 700659777 993355413 700657826 999998060 63944277 999999365 63942202 999998060 56078967 999999365 56076892 993335342 700606854 993336583 700604672 983760095 548542305 983761344 548540137 999998292 623692326 999999476 623690039 999991419 20090139 999991537 20067192 993241984 700598010 993243180 700595746 999998169 195502892 999999746 195501175 999999994 135744924 999999995 133037243 978109990 715928191 978111632 715926542 999999997 680074760 999999998 677367179 993366625 700633597 993367867 700631417 993153772 710111138 993155197 710109238 999999946 741083913 999999975 740990552 999988714 134187653 999990279 134185923 999990808 23591458 999991419 23587027 984096304 548851505 984097794 548849688 999999476 637502487 999999484 637164080 977980872 715741114 977982231 715739122 999999144 9926411 999999638 9920931 978103895 715875857 978106087 715874622 999976096 81517331 999977361 81515191 999999410 231234719 999999909 231229294 978688625 715759592 978690297 715757973 999981420 10943935 999982629 10941696 999999789 713021963 999999932 713003034 978684328 715788377 978687418 715787501 999999971 629253403 999999983 629027838 984040803 548464016 984043093 548462834 999996307 657176514 999997674 657174534 999998292 624116219 999999476 624113933 999999944 636634428 999999971 636534183 999998060 56357542 999999365 56355468 999999710 390077 999999947 378657 999999975 907901528 999999982 907514891 984095528 548697524 984097583 548696207 999994199 625091351 999995577 625089387 999999149 26664619 999999314 26648217 999999789 24949423 999999816 24849189 999999948 151964016 999999959 151718002 993140115 710131734 993141800 710130128 999999410 228097600 999999909 228092177 993091996 710156073 993093651 710154438 993364448 700651931 993365594 700649570 999999410 231118966 999999909 231113544 999999329 774976343 999999435 774950820 999999837 29923467 999999983 29904937 999999329 728364889 999999435 728339367 984096501 548559483 984098688 548558246 999999789 712625906 999999932 712606988 999998060 63771284 999999365 63769211 999977989 30798773 999979699 30797191 999999997 968570395 999999998 965865207 999999542 27343717 999999837 27334547 999994367 80999851 999996359 80998493 999999841 657243882 999999884 657180972 999131001 81581654 999132724 81580084 999172262 4810302 999174598 4809144 983834778 548542977 983836585 548541480 992109325 719884106 992110843 719882324 999999944 624184693 999999971 624084505 978683847 715748263 978686836 715747358 984085575 548459167 984087460 548457732 999983128 30802551 999984640 30800762 993355162 700665725 993357115 700664340 999990808 23525667 999991419 23521240 999993657 80984067 999994979 80982021 999977967 30751022 999979802 30749548 977308724 715081196 977310900 715079953 992110906 719876234 992112347 719874357 978115726 716058966 978117603 716057525 999999789 718967400 999999932 718948486 999997287 5040353 999998865 5038639 999994008 81155879 999995279 81153751 999999286 5898735 999999455 5882731 999997287 4988298 999999286 4986945 999984568 134192085 999986294 134190518 999998169 195356678 999999746 195354963 999999598 21677542 999999829 21665834 999999598 15673402 999999829 15661694 999999969 677674027 999999993 677561340 992106265 719862041 992107234 719859250 999999995 100428673 999999996 97724196 978027978 715825075 978030397 715823957 999998840 30699577 999999605 30696042 999999542 27541549 999999837 27532382 978116955 715977852 978118159 715975606 999997287 4686095 999999194 4684677 999999410 228118827 999999909 228113408 999999988 724947325 999999989 722243271 999985788 30786498 999987791 30785148 999999982 162243726 999999988 161793055 999999435 720121059 999999752 720112529 999999976 214782498 999999984 214444499 978015614 715867531 978016693 715865025 993098640 710124252 993099158 710119032 999998060 56698915 999999365 56696843 999981965 81152576 999984015 81151257 999999969 697079783 999999993 696967121 998968532 91965984 998970596 91964674 999993793 30238564 999995414 30236896 999993513 30127110 999994742 30124910 984090167 548479989 984092396 548478776 999992754 135201689 999995329 135200639 999999822 12273725 999999980 12256613 999999410 229578028 999999909 229572610 978019940 715851371 978021447 715849577 999999979 649964735 999999997 649814540 999997079 11059763 999998314 11057574 978113282 715956183 978115034 715954640 999993414 11126216 999995111 11124623 977968024 715743116 977970003 715741750 983641264 548914327 983642563 548912246 999993274 64111768 999994725 64109905 983970200 554588612 983971691 554586799 978599267 715738956 978601259 715737599 984092114 548454460 984093383 548452330 984085894 548841031 984087105 548838799 993370119 700592000 993371552 700590114 999999992 760375489 999999993 757672856 999999410 230025560 999999909 230020144 984010944 548464858 984012274 548462826 999996307 657401025 999997674 657399048 999996307 650209602 999997674 650207625 999999598 22324141 999999829 22312442 999999955 215702518 999999976 215573830 999026464 4967605 999029075 4966570 999999144 11052402 999999605 11046540 999999789 714694270 999999932 714675373 999977977 133244096 999979355 133242135 999993969 10915058 999996354 10913925 999999542 27499495 999999837 27490335 984097030 548459195 984098941 548457781 978028116 715747307 978029457 715745292 999999435 732995590 999999752 732987066 999999598 21842745 999999829 21831048 999121380 81575746 999122835 81573889 993324228 700592607 993325822 700590912 999999822 15132693 999999980 15115593 999999822 14363630 999999980 14346530 999999435 773097174 999999752 773088651 999980556 135234951 999981975 135233047 993348800 700649783 993350159 700647795 998825411 196260116 998827264 196258658 993358908 700674345 993360820 700672932 999999410 230403343 999999909 230397929 999989776 135241553 999990650 135238462 999991537 18962024 999992646 18959588 999999329 725172855 999999435 725147369 983658588 548916682 983660197 548915003 992094577 719755014 992095461 719751958 999999435 773498731 999999752 773490209 984083915 548560009 984085355 548558133 999991537 16283485 999993777 16282279 999145837 4947407 999146641 4944047 999998169 195973314 999999746 195971601 999999975 879972923 999999982 879587010 999998060 63665041 999999365 63662971 998743830 196303717 998745100 196301590 999996307 657351800 999997674 657349824 999996307 656816328 999997674 656814352 999999829 22138497 999999899 22099909 999999789 718343602 999999932 718324713 999999607 4539915 999999730 4517955 999976676 133278632 999977688 133275963 999999542 29762560 999999837 29753404 999999993 867296062 999999996 866395725 999999944 627182997 999999971 627082968 999999329 723474305 999999435 723448826 999999144 9270563 999999638 9265096 999983917 81538269 999985763 81536806 999989902 133277583 999991784 133276148 999997287 5036728 999999286 5035377 999999971 631855939 999999983 631630887 999999410 230238412 999999909 230233000 999996837 11041413 999997687 11038236 999999455 5413259 999999607 5395493 993128526 710110860 993130862 710109704 977321115 715061112 977322371 715058962 999999990 86414502 999999991 83714120 983637783 548904650 983640392 548903615 984077917 548558133 984079333 548556226 999975994 80956238 999977146 80953894 999984890 135193892 999985998 135191455 998870991 196262962 998871994 196260270 999999988 99609431 999999989 96909475 999995197 30031323 999997138 30029932 992070479 719755014 992075009 719754418 999999986 229047298 999999991 228507324 993370623 700619021 993373025 700617897 999996307 651403243 999997674 651401268 999998169 90911938 999999746 90910226 999998169 90704462 999999746 90702750 999999997 92034027 999999998 89334224 999999841 649836588 999999884 649773802 999999955 207477307 999999976 207348749 999995137 30192627 999996609 30190793 999997129 196231743 999999045 196230334 984074794 548590693 984076839 548589373 983833621 548491827 983835255 548490175 983771358 548524652 983772652 548522566 978686091 715797604 978688139 715796286 999999837 27908536 999999983 27890048 984086191 548536638 984090178 548535961 999999997 904397018 999999998 901697838 999999841 648582028 999999884 648519258 999999149 25974774 999999314 25958416 999999329 727681188 999999435 727655726 999999975 830369385 999999982 829983819 999999542 27982769 999999837 27973620 999999948 134829057 999999959 134583711 999999884 641134807 999999925 641068983 999998060 60383162 999999365 60381094 999999144 11014175 999999605 11008321 999997287 4473948 999999286 4472598 999999435 720206672 999999752 720198159 999982485 30796560 999984243 30795025 999981420 10509003 999982629 10506771 999999998 66815908 999999999 64117499 999993414 11011951 999995297 11010518 999991419 21248101 999991537 21225234 999998169 195517892 999999746 195516181 983970200 554665106 983971560 554663122 998878412 91965199 998879493 91962703 999999329 733919383 999999435 733893929 999999974 961779488 999999975 959081386 999997475 24953808 999999367 24952382 984078421 548859090 984080856 548857982 999999822 13522978 999999980 13505904 999999997 868740088 999999998 866042412 999999435 775957971 999999752 775949461 999999998 126172046 999999999 123474505 999999975 795531209 999999982 795145847 999993513 30078250 999995343 30076776 999999435 720865536 999999752 720857027 999999314 26144838 999999605 26135569 999996307 657085006 999997674 657083033 984093693 548727061 984095162 548725225 999999988 74109342 999999989 71412273 999995795 9058567 999997213 9056665 999999993 933690005 999999996 932791004 978021172 715857699 978023495 715856538 999977141 81529912 999978381 81527737 999999730 4471995 999999894 4455550 999999329 724485995 999999435 724460552 999993414 10968211 999994871 10966360 999999542 27668324 999999837 27659182 999989337 80984922 999992683 80984116 999999946 759362704 999999975 759269710 999112267 81577745 999115638 81576945 984079149 548708066 984080247 548705610 999998169 91236669 999999746 91234959 999998169 91181900 999999746 91180190 999151399 81586667 999153478 81585370 999999974 909062986 999999975 906366602 978114341 716037235 978115793 716035378 999999710 1061881 999999947 1050504 999982544 81154409 999984015 81152576 999981250 3182 999983609 2039 999999598 24240164 999999829 24228492 999998060 60423215 999999365 60421149 999999329 720527003 999999435 720501568 999999410 229674105 999999909 229668702 999999435 771836678 999999752 771828173 999981420 10856685 999982629 10854455 979510687 713839653 979511816 713837265 999999841 653629615 999999884 653566918 999998292 624758236 999999476 624755959 984072053 548555086 984073637 548553384 984068670 548846673 984070582 548845263 999994314 24676105 999995644 24674078 999999998 672088436 999999999 669392587 999999841 640475136 999999884 640412442 999999882 37032854 999999997 37009412 999999435 773647626 999999752 773639122 999990808 15411589 999991419 15407177 978688715 715792366 978690297 715790662 999996307 656844643 999997674 656842671 999996307 656734225 999997674 656732253 999999948 136426077 999999959 136181021 978578268 715751851 978580103 715750382 998742831 196255586 998745100 196254398 999999598 23004493 999999829 22992824 999999996 81445442 999999997 78750215 999990808 24503431 999991419 24499020 999999946 772584925 999999975 772491997 978012948 715748232 978014790 715746769 999998060 60352793 999999365 60350728 999998060 60135731 999999365 60133666 999999435 721165948 999999752 721157447 999972531 133271493 999974498 133270123 999998292 623999483 999999476 623997207 999993642 30105259 999996112 30104168 999999923 200019142 999999955 199934934 999997287 4397587 999999286 4396239 999138384 81570873 999141378 81569973 978114545 715965501 978116424 715964067 999999149 25403195 999999314 25386865 999999979 657894016 999999997 657744328 999996307 651229712 999997674 651227741 999999841 649773802 999999884 649711144 999993414 11008313 999994868 11006460 999999923 214458278 999999955 214374083 999999717 15111574 999999822 15085915 999999717 12634550 999999822 12608891 999999837 29034917 999999983 29016464 999038471 91963740 999041069 91962703 999999925 652281099 999999979 652231208 999999410 229184298 999999909 229178899 998961497 91963788 998963980 91962703 999974992 135242214 999978885 135241522 999986550 133213206 999989365 133212249 999999969 671170071 999999993 671057824 999999144 7850280 999999638 7844827 992113260 719866442 992115212 719865062 999999931 618533087 999999944 618325877 992138149 719885517 992140878 719884530 999998169 195433504 999999746 195431796 999996462 30038784 999998303 30037321 993363891 700593973 993365987 700592688 999155941 81582133 999158281 81580982 999990808 16132986 999991419 16128578 999984117 78069633 999985542 78067743 999187289 4820206 999189585 4819033 993365594 700646208 993367007 700644302 999021619 4970765 999023592 4969400 983980547 554665106 983981416 554662007 999979368 30761935 999980954 30760237 999999598 23156376 999999829 23144718 999996307 650176823 999997674 650174853 993330819 700603233 993332392 700601521 999994156 230131764 999994326 230115923 999999969 677786231 999999993 677674027 977365197 715074459 977366831 715072811 998742374 196312232 998744023 196310599 999982747 135186430 999984378 135184779 999988862 134191131 999990576 134189560 999997287 4679063 999999286 4677716 999997287 4624484 999999286 4623137 983652542 548916796 983653725 548914520 983832037 548527897 983833410 548525936 984100593 548491665 984102382 548490160 999999816 24817306 999999966 24799357 999997461 11079425 999998929 11077591 999999435 774652179 999999752 774643686 999999435 734670401 999999752 734661908 999993414 10889792 999995749 10888639 993150561 710114006 993152648 710112716 999999948 155480500 999999959 155235757 999993032 624881797 999996307 624880975 999998840 30696042 999999605 30692523 999999909 213208186 999999919 212938983 999998169 195962140 999999746 195960433 999999997 40084649 1000000000 39187347 999993270 624923173 999994963 624921583 978590476 715743713 978592002 715741949 999999948 152984361 999999959 152739650 999999981 11126216 999999987 10677584 984099051 548552732 984100659 548551058 999996307 650627528 999997674 650625559 999999993 106199628 999999994 103508059 999997763 10902129 999999144 10900180 984046662 548452007 984047982 548449968 993343124 700607613 993345041 700606209 999999598 21885958 999999829 21874307 999981420 10466460 999982629 10464234 999981420 10133340 999982629 10131114 999998292 623574469 999999476 623572196 992073425 719741406 992075009 719739707 993355968 700640735 993358288 700639575 999999998 228743382 999999999 226052209 984094476 548572378 984096504 548571051 998751526 196312898 998753645 196311628 999999882 38018727 999999997 37995326 999999410 231216829 999999909 231211436 999977589 78097003 999980755 78096153 978003234 715739979 978005282 715738665 999999435 777042859 999999752 777034370 999994690 30235217 999997152 30234124 999999994 159058386 999999995 156367429 999974583 81170161 999976206 81168503 999999730 5349063 999999894 5332655 999999946 727419255 999999975 727326465 999998060 63487203 999999365 63485141 999999144 10931930 999999605 10926093 999976406 134193829 999977941 134192076 999991622 135197099 999998169 135196688 999999925 647824631 999999979 647774803 999999435 776355912 999999752 776347424 999997287 5128281 999999286 5126935 999997287 4914883 999999286 4913537 999999410 228264979 999999909 228259587 999999975 917479816 999999982 917095444 999999789 717120194 999999932 717101379 979509893 713843418 979510857 713840627 999999969 686026758 999999993 685914655 999999995 221802415 999999996 219111976 993157637 710115594 993159537 710114178 984099819 548847216 984100840 548844581 999999969 687340831 999999993 687228734 999996307 657866057 999997674 657864089 999996307 657775607 999997674 657773639 993237357 700612987 993241607 700612354 999994156 228547293 999994326 228531468 984100505 548584912 984102177 548583303 999991735 78083887 999995247 78083121 977959149 715740008 977961201 715738697 999999994 162438808 999999995 159748656 999999476 631729377 999999484 631393116 984002966 548459218 984003621 548455111 999998292 624487449 999999476 624485177 999981420 11089429 999982629 11087204 999981420 9914272 999982629 9912047 993352857 700607101 993355246 700605975 999994232 26687448 999995577 26685448 993132438 710111628 993134223 710110121 999993414 11107792 999994945 11106035 999999329 725371847 999999435 725346470 999149012 81574093 999150400 81572155 999999837 26924088 999999983 26905664 998755012 196253413 998757740 196252427 999977789 135198008 999979653 135196565 999154626 4942802 999158463 4942101 992123300 719867093 992124761 719865252 999999930 781353077 999999951 781224998 999998060 63590361 999999365 63588300 978103895 715877084 978106087 715875857 984089853 554473071 984091704 554471618 978483540 716054858 978485430 716053435 999994314 24893251 999996212 24891834 998735777 196269321 998737849 196268023 999984394 81144143 999986107 81142573 998855709 91964679 998857070 91962703 999999329 735095135 999999435 735069764 999999859 11561997 999999922 11519310 999991419 23374573 999991537 23351783 998856354 196254014 998859054 196253018 999982282 26681141 999983902 26679481 984086875 548860157 984088494 548858496 993365522 700630498 993366625 700628060 978116242 716033364 978117680 716031494 984093306 548506093 984094612 548504034 999981510 81170639 999983736 81169431 999999789 718948486 999999932 718929682 999999884 648249915 999999925 648184331 999983604 30771057 999984978 30769100 999999988 145810056 999999989 143121158 999979607 134203574 999981514 134202164 999991419 16118801 999991537 16096014 999998292 624213874 999999476 624211603 999999598 16222610 999999829 16210970 999981420 9818689 999982629 9816465 999999435 732035924 999999752 732027442 999998169 91122295 999999746 91120590 999993032 624811351 999996307 624810530 999995043 30210052 999996246 30207817 999999410 229785435 999999909 229780047 999982662 78094017 999984369 78092442 999997753 26685064 999999060 26683007 999993032 625167334 999994916 625165907 983834745 548527841 983835599 548524693 999999882 33644318 999999997 33620941 999998060 63143058 999999365 63140998 998873274 196261899 998874579 196259839 978103895 715918837 978106638 715917857 999139664 81578479 999141794 81577217 978026519 715869099 978028024 715867313 999991419 22485346 999991537 22462567 999991419 16475611 999991537 16452832 999999999 892195802 1000000000 889507886 999999975 801442661 999999982 801058676 999999993 811664379 999999996 810768422 978590829 715747512 978593384 715746460 999996515 30036954 999998840 30035798 999026464 4966570 999027598 4964200 999996307 651173042 999997674 651171076 999997592 24684649 999999367 24683135 999015466 4951790 999017429 4950421 998756821 196310645 998758166 196308647 999999969 664657464 999999993 664545494 977957699 715753834 977958554 715750691 999999969 666606741 999999993 666494772 999999435 772682492 999999752 772674015 984037431 548459683 984040397 548458777 993230509 700622185 993231946 700620315 999999969 701522591 999999993 701410625 999999993 875947796 999999996 875052069 999999999 831898791 1000000000 829211672 999999410 227930270 999999909 227924885 999980755 78097563 999982344 78095872 999998060 63322903 999999365 63320844 999998060 63243648 999999365 63241589 999998060 62622937 999999365 62620878 999999946 757648875 999999975 757556222 999992306 30777286 999993513 30775060 999997287 5018168 999999286 5016824 999999435 774787952 999999752 774779477 983976753 554689170 983978123 554687209 998999752 4952980 999001745 4951632 978602601 715746274 978604404 715744784 984095962 548492415 984097792 548490947 999987927 134195838 999990034 134194563 999999882 36724844 999999997 36701484 999997287 4976775 999998747 4974935 984091713 548568409 984093350 548566768 999999598 18982868 999999829 18971239 999973834 81175804 999974808 81173046 999148752 4943247 999151096 4942101 984088335 548465909 984089834 548464117 999999710 1573431 999999947 1562097 999999944 635622811 999999971 635523326 999976981 134197887 999978299 134195849 999999598 19871808 999999829 19860180 999985366 80997513 999987363 80996168 999985713 135207774 999986890 135205492 999981238 133278632 999983025 133277129 998880038 91964932 998881541 91963145 999999923 203747315 999999955 203663384 999999605 30309980 999999855 30299237 999999923 218026531 999999955 217942602 999999995 86662518 999999996 83976807 999989596 135255760 999991058 135253923 999998060 62924868 999999365 62922810 999979595 135262766 999981485 135261345 999994156 229229199 999994326 229213401 999998169 195939186 999999746 195937483 999999598 23178019 999999829 23166393 999999717 12792801 999999822 12767224 978107712 715876595 978108992 715874497 978115983 715999055 978118300 715997896 984100900 548518206 984102701 548516715 999994156 220970911 999994326 220955116 999999969 666128905 999999993 666017024 999999598 18316808 999999829 18305184 999999605 25216622 999999895 25207363 998994177 4943543 998996039 4942101 999991537 18859928 999993009 18858104 999999144 8441023 999999638 8435588 999020986 4952458 999022304 4950421 999987055 80980938 999988493 80979071 999999923 220482807 999999955 220398909 999008002 4959044 999009537 4957295 978027399 715854340 978028589 715852084 999994904 24928475 999996689 24926971 999999410 227609043 999999909 227603663 993357522 700632987 993359376 700631539 999999969 680322764 999999993 680210911 999998060 59975061 999999365 59973004 999998060 56680534 999999365 56678477 984086191 548511730 984088575 548510604 999994206 625075059 999995419 625072846 999055472 91964814 999057303 91963348 999999329 732178159 999999435 732152836 999999341 6895320 999999588 6884453 999998169 90645502 999999746 90643800 999977172 80985078 999978697 80983318 999170224 4833523 999172239 4832191 999999829 24104727 999999899 24066385 999999998 900308819 999999999 897624928 992137647 719862124 992139314 719860514 998832145 196276503 998835414 196275682 999999829 23155439 999999899 23117099 999999982 138309194 999999988 137861896 984053472 554473715 984054864 554471787 999994330 30106765 999996112 30105259 999999956 17162292 999999970 16970605 998818135 196270765 998820748 196269738 999004403 4969938 999005531 4967559 998989701 4968926 998991201 4967137 999996307 656642915 999997674 656640952 999996307 650643833 999997674 650641870 999999144 8885406 999999638 8879974 993236484 700598754 993238036 700597025 999999710 1562097 999999947 1550775 999999598 18361093 999999829 18349477 999140265 4972863 999142711 4971766 999999943 23096031 999999970 22996651 999999997 167234799 999999998 164551548 999999286 6597974 999999455 6582097 978012680 715810163 978014263 715808468 999998060 64026283 999999365 64024227 999998060 62710134 999999365 62708078 999998060 56065287 999999365 56063231 999999329 729342259 999999435 729316947 993103755 710129902 993106121 710128768 999999948 176872797 999999959 176628888 984084220 548701896 984085479 548699765 993371228 700641174 993373025 700639681 984100672 548726524 984101658 548723803 978097444 716025240 978098881 716023373 999988309 78069614 999989932 78067961 999999899 20145079 999999943 20084106 999999435 732819158 999999752 732810695 999981420 11034492 999982629 11032273 999981420 9998936 999982629 9996717 999981420 9921686 999982629 9919467 978103556 716043026 978105899 716041881 999999542 29632589 999999837 29623495 999153260 4958066 999154718 4956226 984091704 554476208 984093361 554474589 999999997 841673761 999999998 838991081 983643144 548957851 983645489 548956707 999997287 4774179 999999286 4772837 999999980 10012705 999999987 9629470 999999410 230301447 999999909 230296071 983761199 548534523 983762812 548532860 999978697 80980855 999981921 80980023 999992277 16339036 999993734 16337195 978095963 716046692 978096931 716043921 998990474 4955684 998992531 4954380 977365229 715076313 977367380 715075066 993364945 700596005 993366265 700593973 999999605 26472805 999999895 26463556 999999829 18716604 999999899 18678287 983971916 554588178 983973861 554586799 998741878 196258500 998744380 196257428 999999435 775621464 999999752 775613003 999994156 224281321 999994326 224265544 999990861 78108371 999992629 78106854 999996307 657743778 999997674 657741816 999996307 657529961 999997674 657527999 978112398 716008974 978113621 716006781 999999884 647988678 999999925 647923263 999999993 708461501 999999995 707120508 999999476 619599264 999999484 619264016 984068508 548576988 984069953 548575132 984090810 548592886 984091455 548588728 999991419 19925424 999991537 19902696 999999710 1903102 999999947 1891786 999999435 732710409 999999752 732701949 983972346 554629438 983973583 554627270 999993032 625347350 999993984 625344533 993124461 710112848 993125983 710111086 999998292 624471482 999999476 624469217 992088898 719747321 992090365 719745493 992113360 719843264 992115623 719842079 999993984 625346252 999995544 625344533 999999946 732014072 999999975 731921602 984072195 548954588 984073082 548951565 993104205 710135632 993105846 710133998 999999925 644584538 999999979 644534883 984101490 548461216 984102826 548459209 999998840 30009910 999999605 30006405 999999435 720633890 999999752 720625432 984071590 548565680 984072092 548560339 977964319 715744549 977966595 715743371 984043650 548459258 984045499 548457808 999165878 4825252 999167057 4822978 999992498 16307527 999995338 16306583 992130869 719846733 992132648 719845226 999971889 81534510 999973668 81533003 999994605 133219728 999996636 133218408 999995131 24995875 999997162 24994555 999994309 78106062 999995720 78104162 999994156 228022100 999994326 228006330 999991537 18892550 999992893 18890573 999997339 30025091 999998840 30023305 999999882 35111287 999999997 35087976 999992477 16327469 999995338 16326532 984091805 548527923 984093237 548526051 999996307 657208183 999997674 657206222 999996307 650604080 999997674 650602119 983768134 548538203 983769375 548536043 999999598 17030278 999999829 17018674 999998060 63567484 999999365 63565430 999998060 63187307 999999365 63185253 999976238 80987132 999977543 80985078 999994325 133291563 999996672 133290421 999999435 777637826 999999752 777629371 999999435 776469080 999999752 776460625 999999986 747086547 999999988 745746471 999993032 625128154 999994874 625126699 999999730 5583629 999999894 5567287 983752911 548489252 983754386 548487435 999999982 78122879 999999988 77676205 984100851 548525167 984102786 548523782 999999919 217306528 999999923 216636556 999999946 777084671 999999975 776992264 999999329 777603024 999999435 777577743 998833330 196259925 998835093 196258405 999999998 988720619 999999999 986040895 978015726 715825697 978017435 715824129 978012184 715812873 978013428 715810719 999999948 126310218 999999959 126066621 999999967 6699574 999999977 6431619 993141622 710124935 993143521 710123524 999999982 118100157 999999988 117653589 993369285 700625148 993370298 700622503 999994156 223382816 999994326 223367055 983760789 548526631 983762280 548524834 978004877 715749189 978006576 715747612 999996307 650519821 999997674 650517861 999999969 674205539 999999993 674093901 999999882 32030774 999999997 32007476 999998060 59992829 999999365 59990776 999171937 4817170 999174587 4816159 999981420 9898173 999982629 9895957 983755424 548539989 983756892 548538164 999990714 78109770 999992629 78108371 992136717 719872853 992137504 719869449 999999638 9203116 999999843 9190048 999996373 78111357 999998061 78109770 978108017 716064818 978109289 716062712 999990652 80999851 999991624 80997095 993362347 700650845 993364448 700649570 999999946 729512649 999999975 729420279 984098999 548577014 984101250 548575824 999168749 4820087 999170083 4818079 999994002 11090995 999995545 11089259 999999882 32117115 999999997 32093823 999989817 81545121 999991098 81543030 999999144 9298519 999999638 9293097 999997574 9063675 999999144 9061969 998756090 196262928 998757185 196260482 999994156 227019274 999994326 227003519 999999948 135270681 999999959 135027207 999998292 624698228 999999476 624695966 993347206 700680292 993347584 700673207 999991419 15732942 999991537 15710246 993347584 700678665 993349030 700676813 999999976 214444499 999999984 214109751 999999144 7626097 999999638 7620676 993097069 710189893 993098943 710188464 999993865 20067830 999995338 20066012 999999969 697235509 999999993 697123930 999998060 62667797 999999365 62665745 999999843 7846548 999999936 7817754 999992107 133240060 999993400 133237989 984091571 548460865 984093189 548459210 978688948 715772120 978690297 715770135 983748216 548513420 983749980 548511902 999106025 81579807 999107543 81578043 978491667 716048731 978493880 716047521 999999435 774806481 999999752 774798034 999997478 4533856 999999286 4532375 999982550 30762375 999985319 30761408 999999955 208945498 999999976 208817995 993333808 700621043 993335172 700619080 999999969 684559723 999999993 684448160 999999717 14718072 999999822 14692572 999999144 10337024 999999605 10331216 983976589 554665062 983978065 554663248 999999882 33104558 999999997 33081277 984073754 548579753 984076208 548578662 999999955 230901940 999999976 230774449 999990055 30760937 999991549 30759145 977328655 715064448 977329847 715062202 984089258 548710451 984090390 548708086 992112479 719864094 992113715 719861928 984051675 548457895 984052939 548455777 978495686 716055586 978497148 716053755 999993513 30129267 999994754 30127110 999999997 792391441 999999998 789714645 999981420 10177527 999982629 10175313 999991419 19021675 999991537 18998991 999999993 660266412 999999995 658928077 999997287 4736817 999999286 4735478 999997129 196117068 999999045 196115671 978006576 715749189 978007715 715746839 999996307 651146495 999997674 651144537 983768754 548530714 983770351 548529038 999999993 701449710 999999995 700111426 999999542 26839405 999999837 26830332 984074179 548448675 984076249 548447382 999999979 653602176 999999997 653453483 999999286 5250281 999999455 5234444 999999435 773387493 999999752 773379050 999999925 648870258 999999979 648820695 999999598 20404743 999999829 20393157 999990808 23868797 999991419 23864417 992117775 719749497 992120041 719748316 999991805 20029327 999994128 20028175 977343180 715075929 977345314 715074675 984092388 548825359 984094046 548823745 999999144 9446235 999999638 9440818 984072699 548709506 984074696 548708166 999987034 133225442 999988202 133223151 999999607 4515639 999999730 4493884 978091210 716036271 978093262 716034967 999999435 773039517 999999752 773031076 999999435 734246683 999999752 734238242 983766701 548545871 983768364 548544262 999999969 664932338 999999993 664820850 978118976 715973868 978119249 715964067 999990417 81529442 999991696 81527350 999106360 81578043 999107533 81575762 999999976 229063290 999999984 228728841 999981420 10332582 999982629 10330369 999981420 10115195 999982629 10112982 999996191 24792176 999998134 24790799 999995585 24950953 999996924 24948955 983759986 548502945 983761874 548501528 999998060 56660970 999999365 56658920 999996307 650424076 999997674 650422119 999999995 146028341 999999996 143353135 999999999 159507689 1000000000 156832485 999999435 776450822 999999752 776442383 999999314 26219046 999999605 26209853 999176765 4802260 999177716 4799447 999999410 230718609 999999909 230713248 999999542 27815403 999999837 27806335 999999144 8321021 999999638 8315606 998991969 4965490 998993320 4963510 999999841 657488026 999999884 657425820 978579798 715746745 978581099 715744689 999994959 24711616 999996592 24709978 999999329 720377799 999999435 720352565 999996981 11124601 999998858 11123176 984081071 548566092 984082153 548563620 984088029 548714526 984089474 548712675 999994314 24987734 999996285 24986377 998749337 196279314 998751487 196278070 999998169 91202724 999999746 91201028 992140716 719872120 992142446 719870574 999993249 64092388 999994725 64090576 999995364 30232540 999996864 30230757 993359303 700619763 993360323 700617141 999999829 19147014 999999899 19108808 999999999 807368639 1000000000 804694241 999975262 78078505 999976919 78076891 999999329 734437398 999999435 734412168 999994727 11099690 999996186 11097857 992055814 719755014 992056565 719751453 999999982 112472782 999999988 112027064 978103895 715886279 978106131 715885083 999999995 700034519 999999996 697360298 999999882 31818696 999999997 31795442 992132456 719852629 992134529 719851339 984093038 548851693 984095070 548850377 999994156 228425099 999994326 228409369 978103895 715968684 978106165 715967506 999999999 956777318 1000000000 954103275 999998060 56644165 999999365 56642116 999998060 56330312 999999365 56328263 984018225 548457110 984020406 548455884 999999542 29448987 999999837 29439923 998746312 196306719 998748300 196305374 999996307 657579492 999997674 657577536 999999975 754095908 999999978 753204626 999999836 10797117 999999981 10778677 984046785 554474888 984048007 554472700 999996984 24913623 999999367 24912501 992121411 719859249 992122493 719856778 999999710 1839685 999999947 1828404 999988583 30807061 999990165 30805371 999993513 30111439 999994085 30106765 992047975 719841874 992049935 719840510 984087961 554483048 984089058 554480611 998996286 4971608 998997922 4969974 978098452 716045892 978100468 716044566 999993032 625178025 999994800 625176513 999999710 1856715 999999947 1845436 999994156 222381396 999994326 222365672 999999923 214129055 999999955 214045522 999995247 78083887 999996306 78081363 999999884 651091715 999999925 651026522 999998840 30800702 999999605 30797208 998934295 91965298 998935325 91962703 999999989 122362910 999999990 119690074 998854829 196266890 998857955 196266035 999144253 4974164 999145974 4972611 983637783 548933201 983639465 548931612 999997287 4621362 999999286 4620025 999999982 116067111 999999988 115621681 999984607 30791770 999986771 30790535 999999144 9169978 999999638 9164568 999999975 965545543 999999982 965163754 999999836 11064053 999999981 11045622 999972706 78119080 999974073 78117125 984101088 548853047 984102616 548851298 999175594 4838082 999177432 4836628 999994169 624873713 999995965 624872225 999999605 10463004 999999836 10451435 999999144 10969550 999999605 10963753 999994156 224402461 999994326 224386741 983980120 554623398 983981416 554621336 999995649 24975376 999997601 24974007 999999329 726299374 999999435 726274164 999999925 647084210 999999979 647034725 999999638 9226982 999999843 9213947 998864279 1545 998866517 351 993108444 710120817 993109941 710119032 999998840 30232574 999999605 30229081 978114249 716005385 978115204 716002587 999999923 203663384 999999955 203579882 999999946 762629093 999999975 762536953 999971889 135188728 999973244 135186756 999999948 177994594 999999959 177751681 999979262 78101443 999981115 78100001 999995733 81545924 999997046 81543889 993163735 710114387 993165770 710113074 999990808 24085666 999991419 24081293 993367235 700637163 993368208 700634417 984078773 548566092 984080369 548564418 983646344 548900232 983647224 548897196 999999789 713176567 999999932 713157884 999999410 227912760 999999909 227907406 999999410 227848603 999999909 227843249 999994462 625275111 999996307 625273663 999999144 9601238 999999638 9595830 999999829 22647696 999999899 22609531 999974055 135205239 999975886 135203780 999106103 81566623 999107562 81564792 999977921 81517331 999979327 81515431 983651869 548897706 983654252 548896585 983977567 554681152 983978802 554678989 999999993 765425348 999999994 762754066 978102541 716022216 978104030 716020422 993093277 710158331 993094460 710156073 999999982 104840490 999999988 104395295 999996307 657299977 999997674 657298023 999996307 650498779 999997674 650496825 999999909 231061653 999999919 230794547 999999144 9458942 999999638 9453535 999999975 927923570 999999982 927541995 999986950 30774966 999988090 30772623 993132569 710131765 993134062 710129976 999999999 753001364 1000000000 750330429 978100927 716047768 978102436 716045998 999999829 20122072 999999899 20083916 983973072 554613364 983974441 554611413 999999986 763157310 999999988 761821879 998867263 196264679 998868477 196262479 984090113 548579388 984091238 548577014 999999638 7789552 999999843 7776524 983750314 548496052 983751705 548494132 978116495 715888119 978118055 715886407 999981420 10931598 999982629 10929389 999981420 9993106 999982629 9990897 999981420 9883394 999982629 9881185 999999455 6412906 999999607 6395336 999999455 5675185 999999607 5657616 993095970 710144844 993096923 710142042 993091857 710187767 993093018 710185467 999976224 80947345 999977609 80945417 999975185 81145017 999976198 81142381 999999946 724834010 999999975 724741932 984074336 548460895 984075505 548458611 984060202 554480710 984062196 554479371 999984015 81161024 999985459 81159175 999999789 715479383 999999932 715460712 999997280 24894688 999999138 24893251 999999329 722706162 999999435 722680974 978115204 716003401 978118484 716002587 977357671 715068660 977359319 715067040 983757678 548544657 983759459 548543158 999999638 8697672 999999843 8684649 999990219 81175694 999991138 81172789 999999410 227493643 999999909 227488293 993153264 710123437 993154684 710121557 978105518 715954640 978106705 715952391 999999925 640692443 999999979 640643007 999990808 16510576 999991419 16506207 993324228 700613485 993325562 700611484 998749501 196278070 998750805 196276023 999999948 170993555 999999959 170750894 992075009 719742023 992077215 719740813 978107206 715963179 978109143 715961801 999991419 23788529 999991537 23765909 999999410 229700608 999999909 229695259 999999919 213905848 999999923 213238565 999998840 30176384 999999605 30172895 993231406 700615285 993232855 700613443 984084925 548848678 984087260 548847535 999999998 913118295 999999999 910449458 999999329 777691176 999999435 777665999 999998060 56223362 999999365 56221317 999994156 231287343 999994326 231271645 984074979 548837492 984076764 548835997 999999542 29082554 999999837 29073508 999979056 30745841 999980541 30744044 993155655 710125917 993156933 710123829 999996307 650189479 999997674 650187527 998843706 196266035 998846752 196265159 999999999 995218953 1000000000 992550672 999999598 17356803 999999829 17345252 999999542 27697567 999999837 27688522 978112712 716022484 978114228 716020724 999979736 81167683 999981510 81166179 999996071 30185635 999997224 30183321 999999991 133317489 999999992 130649452 999999837 26860998 999999983 26842724 999991537 20308907 999993537 20307573 984093531 548701896 984095528 548700560 998870991 196255318 998871994 196252658 984049681 548457115 984051675 548455777 999996727 11045422 999998014 11043349 999992520 133229118 999993622 133226697 992123065 719859715 992124794 719858172 999995588 24738532 999997123 24736794 999999993 898493717 999999996 897604450 999997379 11090995 999998101 11087300 984045274 548452648 984046662 548450726 999994314 24837086 999995900 24835404 999999975 970421008 999999982 970039917 999999996 971798244 999999997 969130625 999999598 19817915 999999829 19806367 999999993 791416588 999999996 790527402 998865347 196280691 998866299 196277889 999999925 655297947 999999979 655248550 999998060 63793092 999999365 63791048 999998060 62749446 999999365 62747402 978090830 716060324 978092294 716058502 999999542 28943974 999999837 28934932 999999144 10548960 999999605 10543174 983642823 548956707 983643997 548954435 984076940 548578662 984077675 548575033 999999884 654598532 999999925 654533476 978011897 715835604 978013498 715833938 999999969 689893163 999999993 689782027 999999979 647961694 999999997 647813515 993361526 700640181 993363613 700638903 978026509 715838862 978028210 715837294 999999605 25366453 999999895 25357256 999999149 26507079 999999314 26490915 999981420 9808042 999982629 9805836 999996307 650213317 999997674 650211366 983655700 548946561 983658755 548945688 999994156 230783334 999994326 230767646 999999969 690810557 999999993 690699435 998999150 4966992 999000688 4965258 984075012 548706547 984076932 548705158 999993414 11073143 999994834 11071265 999999982 176551648 999999988 176107195 999973316 133225923 999974595 133223838 999990291 133267291 999990849 133262512 984071118 548959619 984072195 548957143 992111471 719753064 992112475 719750408 999991123 135210880 999992224 135208458 999999435 720995633 999999752 720987221 999105191 81578043 999106360 81575762 984096811 554472871 984098939 554471618 999998292 624177265 999999476 624175013 999996636 24772998 999998315 24771410 998995170 4960424 998997403 4959230 983651869 548901033 983653577 548899472 978594085 715746734 978596201 715745474 983971777 554689279 983973065 554687209 999999882 37248786 999999997 37225602 999999969 719236959 999999993 719125876 999999986 750062107 999999988 748729138 999993032 625099024 999996307 625098210 999999836 10376043 999999981 10357658 999143667 81580056 999145975 81578901 999996307 656606044 999997674 656604094 999996307 651171076 999997674 651169126 998825411 196261236 998827791 196260116 977308724 715074932 977310008 715072856 978100905 716005779 978103162 716004598 999999909 227393444 999999919 227126910 992131540 719748754 992132878 719746762 999998840 30141816 999999605 30138332 999994156 221851648 999994326 221835970 999990808 24258396 999991419 24254034 999998169 90939714 999999746 90938024 999999996 104935201 999999997 102270075 998999150 4964537 999001745 4963510 999999598 24191495 999999829 24179958 999999598 23814189 999999829 23802652 999999944 618666624 999999971 618567919 999999435 772567590 999999752 772559183 999999948 143354734 999999959 143112467 999991622 135196688 999995672 135196030 999999946 743776113 999999975 743684221 999999329 730144368 999999435 730119228 999998060 64015831 999999365 64013789 999998060 56267445 999999365 56265403 999994279 625102695 999996307 625101381 999999829 19818512 999999899 19780444 999997287 5137515 999999286 5136182 984081923 554474107 984083913 554472768 999999969 684946469 999999993 684835445 999990808 23910624 999991419 23906263 999979251 78094618 999980440 78092377 999985312 81530495 999986721 81528604 984091151 548711676 984093326 548710451 978111932 716020724 978113353 716018849 999971889 80950503 999972686 80947160 999999882 31549467 999999997 31526299 999999946 729688568 999999975 729596696 999996307 656936607 999997674 656934658 999991419 18925651 999991537 18903073 999999144 7464371 999999638 7458978 999999884 650109061 999999925 650044082 983752139 548510767 983753036 548507797 992111472 719847219 992112439 719844464 999998292 623778792 999999476 623776542 984081705 548723730 984084480 548722770 999999944 625028947 999999971 624930283 999999991 228829414 999999992 226165498 999999923 204408319 999999955 204325075 999980764 135246831 999983190 135245733 992085578 719753481 992087327 719751958 999987228 78128786 999987907 78124863 999999836 10602711 999999981 10584341 999980549 135239467 999982320 135237963 999998169 91613303 999999746 91611614 999998169 91564159 999999746 91562470 993371675 700593973 993373025 700592000 983974810 554696920 983976223 554695035 999998060 63717009 999999365 63714968 999999837 27782044 999999983 27763801 999999435 721815113 999999752 721806711 999981420 10618804 999982629 10616601 999999710 2985702 999999947 2974464 999987606 30798800 999988795 30796560 999169027 4815813 999170505 4814011 999991292 133250489 999993215 133249104 999999149 26144937 999999314 26128796 999991419 16758122 999991537 16735552 984042941 548448649 984045043 548447382 999999435 721764271 999999752 721755870 992112970 719876691 992114111 719874357 999992274 20264999 999993887 20263348 999994314 24714267 999996050 24712733 999157909 81579552 999159130 81577371 999993400 133249564 999995094 133247992 999999843 8330071 999999936 8301437 999999948 81060060 999999959 80817973 999996307 651415357 999997674 651413409 993092679 710160873 993094071 710158960 999999837 27858013 999999983 27839774 979504673 713845436 979506368 713843865 999999975 960060012 999999982 959679613 999999843 10300398 999999936 10271766 998863876 196269597 998864885 196266958 999990808 16054144 999991419 16049786 999999894 5738464 999999965 5700961 999986557 80968561 999988350 80967076 999999923 212277113 999999955 212193915 999995066 135189538 999996911 135188095 993229893 700608735 993232618 700607758 999999045 196111824 999999639 196107342 999981510 81167887 999983736 81166691 999999909 219608019 999999919 219341790 999999598 18067570 999999829 18056045 999999969 705785556 999999993 705674629 999981420 10667560 999982629 10665358 999981420 10499986 999982629 10497784 999998060 63832189 999999365 63830149 999999975 856449187 999999982 856068876 998832576 196258405 998833820 196256265 983644797 548948619 983646647 548947180 977357563 715072536 977359319 715071020 978113810 715997291 978115479 715995696 984034461 548453321 984037432 548452425 999999988 143121158 999999989 140459167 999974942 80987132 999976238 80985078 983640392 548909646 983641647 548907525 977350865 715069546 977352911 715068245 999980391 81159742 999981414 81157140 999996545 81152457 999998169 81150818 999999638 9991234 999999843 9978250 999999899 18919131 999999943 18858638 999996307 656589600 999997674 656587653 999999829 16119390 999999899 16081368 999999435 773857960 999999752 773849564 999999730 6369260 999999894 6353032 999999822 13667662 999999980 13650818 984089404 548703748 984090841 548701896 999999969 682968102 999999993 682857215 984073237 548857929 984074563 548855922 999999969 688746217 999999993 688635332 983754648 548551315 983756658 548549991 993332529 700594306 993333824 700592251 999999993 948437145 999999996 947550077 978018799 715843994 978020254 715842165 999994156 226784982 999994326 226769328 984066214 548844132 984068374 548842900 978581748 715790437 978582427 715786518 999176811 4821225 999177693 4818208 999999983 629090911 999999987 628425664 999163735 4949508 999164772 4946942 984094891 548473673 984096822 548472295 978104738 715929096 978106339 715927434 983972132 554691284 983973590 554689459 999981240 78115905 999982380 78113571 999999605 26316940 999999895 26307765 999159446 4976353 999160896 4974518 999973312 1010 999976101 56 999999925 649236599 999999979 649187327 999993017 16262884 999994430 16261001 993230574 700596450 993232971 700595340 999997287 4970304 999999286 4968973 999997287 4640963 999999286 4639632 999991419 19362762 999991537 19340215 999999997 954375619 999999998 951715136 999999367 24669370 999999638 24659553 999999998 655549391 999999999 652889074 999975213 80981288 999977316 80980023 999999638 9643365 999999843 9630388 999189108 4808844 999190949 4807399 999999992 764625252 999999993 761965061 999999882 33544253 999999997 33521121 999999943 23222846 999999970 23124321 999994156 222776292 999994326 222760644 978028777 715741935 978030397 715740293 999999329 724792110 999999435 724767016 993241607 700611332 993243180 700609641 999999730 4966897 999999894 4950678 984072845 548457797 984074417 548456105 999999988 179638493 999999989 176978678 978000047 715740598 978001423 715738665 978487114 716052034 978489205 716050762 999994989 625051864 999996307 625049846 978688687 715761504 978690297 715759852 999999410 229235501 999999909 229230171 999993482 16255318 999995338 16253885 999991058 135258881 999992712 135257273 999998060 64057575 999999365 64055537 999998060 63221886 999999365 63219848 999999975 852647650 999999982 852267714 999999923 221947931 999999955 221864821 999999969 710132273 999999993 710021460 983972129 554625316 983973572 554623473 999999329 733982355 999999435 733957266 999999923 215126425 999999955 215043320 978104418 715890628 978106649 715889436 999999993 714395378 999999995 713065710 999995020 81168936 999996349 81166935 993097320 710163831 993099589 710162659 999999329 775730708 999999435 775705621 999994156 227781675 999994326 227766033 999999710 4239697 999999947 4228477 999999884 639703090 999999925 639638234 999999730 4918909 999999894 4902695 983978455 554604342 983979845 554602429 999999925 653365143 999999979 653315901 999997287 4891608 999998748 4889788 999999975 757943515 999999978 757057185 999999542 28972357 999999837 28963344 999998169 195959212 999999746 195957526 999188643 4811341 999190949 4810188 999996307 657809393 999997674 657807448 999994156 230017529 999994326 230001889 984097811 548576441 984098999 548574203 978580874 715800440 978582427 715798728 983655990 548940493 983657267 548938411 999997854 11085628 999999144 11083567 999999435 734286833 999999752 734278446 999999410 228568566 999999909 228563238 993353361 700656764 993355542 700655545 999999996 936282819 999999997 933624221 999999329 723354523 999999435 723329442 999999882 38480867 999999997 38457749 999999882 31119593 999999997 31096475 998948457 91966663 998951703 91965844 984092939 548581538 984094473 548579805 978102436 716047973 978103782 716045998 978113745 716010796 978115204 716008974 984002966 548461073 984004399 548459218 999999975 828807393 999999982 828427669 999999435 771273838 999999752 771265453 977324361 715064793 977325312 715061998 978007406 715739889 978009952 715738845 999999598 18013593 999999829 18002087 999993032 625148221 999994281 625146093 999999988 161751592 999999989 159093802 999117056 81580793 999118808 81579276 983649110 548959119 983651206 548957851 999999144 10150903 999999638 10145523 999993993 20301636 999995338 20299660 999993513 30122834 999994624 30120442 998869526 196255711 998870991 196253897 983657637 548956421 983659334 548954855 999999978 11489698 999999989 11248111 999996307 657178896 999997674 657176952 999996307 651156207 999997674 651154263 983649335 548918668 983650669 548916676 999999144 7202506 999999638 7197127 999994784 80953791 999998169 80953006 999999930 782532751 999999951 782406217 999994314 24666538 999995811 24664763 999999314 25078535 999999605 25069404 999994156 220986541 999994326 220970911 999999455 5924567 999999607 5907087 999992557 135187454 999993838 135185380 999993936 20031815 999995338 20029920 992130869 719845226 992133345 719844153 984074979 548839109 984076622 548837492 998867014 196255711 998867808 196252365 999145071 4951030 999146400 4949031 999971889 78101988 999973226 78100001 999999930 808139325 999999951 808012820 999999986 734287397 999999988 732959142 993363890 700686760 993365499 700685109 999991951 81518431 999994123 81517208 984084534 554483048 984085624 554480611 999999837 28666699 999999983 28648505 977316796 715065715 977318844 715064418 999994314 24855408 999995564 24853283 999999909 229724350 999999919 229458742 999999997 796253677 999999998 793597615 999994310 133269068 999995263 133266281 993363887 700626118 993366625 700625148 993095949 710157880 993097709 710156371 978686485 715754743 978687403 715751850 999993949 19019598 999995338 19017686 983756813 548508395 983757985 548506129 999993232 20351816 999994688 20349992 999998292 623529329 999999476 623527086 983637783 548897871 983639235 548896042 992091135 719745761 992092599 719743947 999999410 230710981 999999909 230705659 999998169 195780750 999999746 195779066 999998169 91164429 999999746 91162745 999999789 715713313 999999932 715694742 983752497 548499295 983758574 548498858 999993891 135196030 999995558 135194437 984066214 548854449 984068100 548853041 993341406 700625148 993342607 700622937 999999946 750302916 999999975 750211351 999994109 80975861 999996150 80974560 999999991 777800324 999999992 775145019 999994694 24834252 999996463 24832751 983753567 548528289 983755480 548526901 993361797 700670443 993363602 700668972 999999969 687758298 999999993 687647667 999991735 78074043 999993458 78072502 999999455 5837499 999999607 5820031 999027144 4950024 999029075 4948649 977360329 715072811 977362267 715071441 993160972 710124026 993161969 710121363 999997755 24693970 999999367 24692323 999981420 10644725 999982629 10642529 999999946 721931917 999999975 721840371 992048996 719750639 992051267 719749470 999999144 8460310 999999638 8454936 993360012 700653200 993362104 700651931 999996307 657381018 999997674 657379076 999996307 656895559 999997674 656893617 999996307 656585409 999997674 656583467 999996307 651285685 999997674 651283743 999999410 227780616 999999909 227775296 999981643 78133105 999984145 78132044 999998292 623460460 999999476 623458218 999999822 13439563 999999980 13422763 999998025 9058700 999999144 9056328 999999930 800350489 999999951 800224096 999999435 721139339 999999752 721130966 999999717 14432960 999999822 14407682 999990808 24564987 999991419 24560643 978112667 715980456 978113909 715978319 999998169 195274564 999999746 195272881 983640772 548958339 983642823 548957045 999005449 4945261 999007301 4943828 999997249 24961770 999999367 24960517 984095545 548961057 984098016 548959983 999976479 81178749 999978053 81177063 999999882 37682965 999999997 37659890 984090558 548532599 984091805 548530471 992119859 719884868 992121482 719883233 983637783 548903615 983639241 548901795 999995567 30182073 999997185 30180433 999997195 30137132 999998840 30135519 999999435 733152432 999999752 733144062 998826341 196254012 998827951 196252364 984098127 548492878 984099501 548490947 999147530 81574093 999148899 81572155 999991537 18910871 999993294 18909361 999998060 63377421 999999365 63375388 999998060 56658920 999999365 56656887 999998060 56354360 999999365 56352327 999998217 24661569 999999367 24659262 984089669 548858308 984091142 548856507 999993513 30045832 999998840 30045334 993343876 700618483 993345634 700616974 998736581 196267194 998738260 196265614 999999981 771885994 999999982 769233189 999021811 4960059 999023562 4958544 999974689 135214479 999975973 135212413 999999410 228404479 999999909 228399163 999997287 5117872 999999286 5116545 984068147 554477662 984069415 554475570 999977847 81168902 999979277 81167047 983769766 548510767 983772529 548509807 999016228 4976196 999018281 4974904 984078005 548845431 984079833 548843980 999999435 773787438 999999752 773779071 999998840 30753566 999999605 30750099 978590577 715738067 978591984 715736182 999999944 637563864 999999971 637465635 999995468 78075596 999997260 78074116 999999992 96668358 999999993 94016277 999157196 81586667 999159010 81585205 983746009 548543069 983747870 548541644 999973142 133288398 999974783 133286782 999998060 63052745 999999365 63050713 999998060 60470772 999999365 60468740 999998060 56722569 999999365 56720537 999999717 14829021 999999822 14803767 999995477 78099339 999998169 78098354 999999314 25535661 999999605 25526549 983750171 548526726 983751103 548523881 978095559 716019499 978097699 716018260 999993513 30056110 999995117 30054457 999999925 639879251 999999979 639830155 999989878 135230798 999992564 135229811 999999789 714942958 999999932 714924419 999975471 81175531 999976601 81173185 999998292 624173703 999999476 624171464 999998169 90666861 999999746 90665180 999999730 4789818 999999894 4773654 993358103 700617115 993359303 700614906 999987627 133261300 999989507 133259890 999999985 226215172 999999986 223564377 999999286 6464147 999999455 6448462 999999638 8471472 999999843 8458542 999999948 103062213 999999959 102821246 999996307 657568973 999997674 657567034 984097729 554480543 984099241 554478790 999999982 118541911 999999988 118100157 999999829 17636695 999999899 17598831 999999435 735190302 999999752 735181941 998970780 91964489 998972264 91962703 999995319 24718744 999997157 24717302 993360145 700667628 993362420 700666463 999999542 27896883 999999837 27887899 978100499 716033039 978103040 716031996 993104436 710122018 993107060 710121008 993111587 710127341 993113258 710125755 998757708 196290902 998759813 196289643 993097320 710164999 993099589 710163831 999981420 10568971 999982629 10566779 999981420 9757874 999982629 9755682 999999329 720347197 999999435 720322196 998743821 196292702 998745100 196290630 992110953 719873457 992112422 719871653 999993513 30207367 999994756 30205235 999993414 11097857 999996186 11096901 978689381 715754743 978690297 715751850 999999149 25990834 999999314 25974774 999999822 14601978 999999980 14585207 999999144 7742451 999999638 7737087 999998292 624038940 999999476 624036702 999999789 717168056 999999932 717149526 999991419 21960223 999991537 21937768 993356578 700659777 993357936 700657826 999981853 80972131 999985132 80971323 999982309 2039 999983609 1 998865900 196265962 998867965 196264679 999135624 81581320 999137034 81579441 999999975 878289668 999999982 877911184 999999946 767740418 999999975 767649060 999990610 78077181 999991735 78074826 999996507 10927678 999998343 10926235 999997759 4851267 999999286 4849532 999999598 17090606 999999829 17079137 999971889 81510563 999973647 81509056 999078725 91966663 999079394 91962703 978622382 715739227 978623680 715737186 992131244 719862981 992132169 719860117 999999435 775263444 999999752 775255087 999998060 56628991 999999365 56626961 984096990 548719901 984098654 548718309 999999149 25924175 999999314 25908120 983977128 554583079 983978887 554581573 999992622 20088195 999994064 20086358 999999894 5278572 999999965 5241263 999999993 910177282 999999996 909294335 984070587 548591102 984072048 548589289 999999948 101368869 999999959 101128070 978114233 715906309 978115901 715904721 999999931 636061471 999999944 635857721 978111717 715878410 978113341 715876779 999999710 3925955 999999947 3914779 984094971 554485495 984096270 554483456 999999789 717149526 999999932 717131004 983979096 554641138 983980359 554639041 984089028 548481188 984091263 548480003 999020384 4947235 999021528 4944920 999999998 768974092 999999999 766325747 992141590 719867944 992142946 719865991 999999435 771695007 999999752 771686653 999999435 771581399 999999752 771573045 999999946 775203936 999999975 775112621 999993032 625181417 999994914 625180010 999991419 16223386 999991537 16200946 999999144 9044402 999999638 9039042 984072747 548718664 984075012 548717495 999999983 775619185 999999985 774295377 999999435 775469643 999999752 775461291 999991537 20266034 999994095 20264999 999991419 16452832 999991537 16430396 999999605 25109255 999999895 25100126 999993414 11044722 999995342 11043349 999997067 30027817 999998840 30026324 993357936 700657689 993360012 700656414 999994732 30201160 999995691 30198400 999999927 26565925 999999943 26400501 999997287 5134909 999999286 5133585 984068332 548723100 984070316 548721766 999999710 1771943 999999947 1760776 999998060 60490474 999999365 60488446 999996307 656728597 999997674 656726661 999996307 651255796 999997674 651253860 992131244 719854354 992132230 719851670 999991419 21122407 999991537 21099980 999999970 16303106 999999978 15972312 999999899 19574264 999999943 19514120 999975377 81510563 999977133 81509056 999153932 81575573 999154980 81573048 999145975 81574691 999150400 81574093 983649615 548935940 983650074 548930175 999999598 23501638 999999829 23490183 993126340 710116816 993127103 710113348 999997107 9081749 999999144 9080450 999979940 78081069 999981704 78079569 978092820 716059242 978094179 716057295 999999993 192589380 999999994 189943495 999999946 773252151 999999975 773160915 999999925 653431311 999999979 653382315 999999410 229607180 999999909 229601878 984100107 548721913 984101656 548720205 999999435 773887253 999999752 773878907 999999955 205877131 999999976 205751147 999999329 731783097 999999435 731758138 999990808 16606214 999991419 16601884 999999975 852065939 999999982 851687997 999999923 223251171 999999955 223168499 992121487 719751531 992122656 719749268 999999925 656034910 999999979 655985921 999999717 13114354 999999822 13089160 999991537 16268819 999992861 16266821 999998060 62800743 999999365 62798716 999998060 56160907 999999365 56158880 977982231 715747277 977984401 715746058 999996307 657987025 999997674 657985090 999996307 657666419 999997674 657664484 999996307 657095024 999997674 657093089 999996307 651501595 999997674 651499660 993343428 700610309 993345634 700609110 999025152 4963530 999026464 4961514 983970200 554693595 983972132 554692226 999994410 30026792 999996086 30025214 999975152 134201799 999977802 134200801 999997287 4558649 999999286 4557326 999999946 774995712 999999975 774904517 999999841 640601353 999999884 640539850 999998169 91377790 999999746 91376113 992108430 719874357 992112257 719873666 999999982 729541336 999999983 726896917 983760418 548531692 983761950 548529966 978103895 715976181 978106036 715974946 999990018 30808150 999992446 30807061 999994086 10944327 999995018 10941490 999999789 718735226 999999932 718716736 999999605 11105021 999999836 11093575 999983344 78112115 999985478 78110876 993144142 710135632 993145500 710133685 977984401 715748640 977985989 715746975 999999329 720999873 999999435 720974930 999998060 60451510 999999365 60449484 999999144 7327695 999999638 7322343 999993513 29972717 999996538 29971843 983979784 554638257 983981416 554636637 999999435 774905268 999999752 774896928 999999410 230945861 999999909 230940563 999999884 652178814 999999925 652114336 983769247 548551797 983770621 548549873 999999969 707173937 999999993 707063789 999107613 81575496 999109284 81573914 999993513 30002538 999995304 30001062 984089069 548585593 984090614 548583882 999987050 133291446 999989629 133290421 999999975 991674632 999999982 991297006 999999605 25376529 999999895 25367414 984083307 548582071 984084657 548580113 999999841 652513320 999999884 652451848 999995266 625183956 999996307 625181417 999998169 90908225 999999746 90906549 999999982 189452263 999999988 189011758 999999944 631177809 999999971 631079922 999999435 772084357 999999752 772076020 999999286 6338146 999999455 6322508 999997287 4746546 999999286 4745224 999994156 222327704 999994326 222312159 999998060 63854412 999999365 63852387 998826662 196263632 998830830 196262998 998758724 196253159 998760581 196251736 999149213 4952471 999150744 4950745 999991537 20076052 999993301 20074554 999996307 657607607 999997674 657605674 999999955 198961266 999999976 198835437 999999329 719965477 999999435 719940549 999999979 647293508 999999997 647146714 999999969 688635332 999999993 688525238 992069008 719741541 992070627 719739909 999999410 228463459 999999909 228458164 999999329 732029356 999999435 732004430 999999999 878140250 1000000000 875498181 993330201 700614356 993331900 700612801 999022303 4946766 999023712 4944891 978027597 715835910 978029268 715834329 999999710 832796 999999947 821649 999988441 26679481 999990450 26678166 999997025 10971176 999997916 10968211 999993032 624824589 999994681 624822987 978105000 716058664 978106495 716056897 984080091 548855098 984081792 548853545 999999969 690167961 999999993 690057893 999994156 221242025 999994326 221226486 999977789 135196565 999979059 135194485 999993032 624969113 999994148 624966746 983832689 548507102 983833693 548504471 999998169 90759280 999999746 90757605 999998169 90681798 999999746 90680123 999999542 27161098 999999837 27152144 984081013 548568409 984082153 548566092 993143521 710125325 993144309 710121973 999990808 24160491 999991419 24156168 993329680 700607428 993330819 700605109 999998060 63612866 999999365 63610842 999980820 78070350 999982552 78068825 999999843 8376705 999999936 8348304 999999925 650808093 999999979 650759181 999999435 775795605 999999752 775787273 984093085 548484482 984094436 548482527 999993414 11064737 999995006 11063078 999999829 21829546 999999899 21791816 999996307 657435786 999997674 657433854 999999598 20714337 999999829 20702904 999138931 81567223 999141463 81566180 999109364 81578244 999111397 81576945 999999822 13149465 999999980 13132751 999998840 30238859 999999605 30235407 999994156 226973621 999994326 226958087 999999993 679765738 999999995 678445355 999982759 30810214 999984523 30808717 999999710 3558254 999999947 3547112 999993414 10877430 999995157 10875915 984041494 548453476 984043437 548452117 999996728 30078592 999998182 30076776 999981420 10419976 999982629 10417792 999999144 7747796 999999638 7742451 984097641 548590163 984099069 548588314 984078089 548830844 984079457 548828914 993361540 700631626 993363385 700630195 983979574 554655165 983980779 554652974 999999996 138882647 999999997 136242547 999999455 4574199 999999607 4556830 999969554 2165 999970774 1 999998060 63533857 999999365 63531834 999998060 62993962 999999365 62991939 999971889 81536729 999973846 81535380 999997107 9080450 999999144 9079154 999999993 998564779 999999996 997684798 999999882 38647912 999999997 38624956 999979164 78118613 999981077 78117233 999993939 16266821 999995338 16264934 999998169 195735598 999999746 195733924 999998169 195365061 999999746 195363387 999993528 625036275 999995230 625034724 999999930 793032480 999999951 792906777 999999948 104383268 999999959 104143296 999996307 657003608 999997674 657001677 999996307 650855964 999997674 650854033 999991419 24292305 999991537 24269935 999988624 30779207 999990347 30777675 992110368 719842574 992112306 719841212 978491935 716057899 978493639 716056350 999999598 17303057 999999829 17291631 984099054 548490427 984100593 548488712 999998338 24674078 999999367 24671513 999999476 634417559 999999484 634087637 999999542 29663821 999999837 29654874 998851645 196275320 998853600 196273970 999994784 80952427 999996314 80950702 999995222 24956082 999997451 24954898 977332466 715080100 977333818 715078148 978029296 715838862 978030190 715835910 999999978 725548977 999999980 724229440 999996652 24804920 999997891 24802790 999999605 26330069 999999895 26320969 999981009 78073911 999982631 78072284 992084977 719740129 992086604 719738507 999999990 79403612 999999991 76764645 984063710 548467113 984064698 548464442 999974116 135190892 999976065 135189538 978497545 716047062 978499180 716045448 992050078 719741079 992051104 719738507 978115111 715985794 978115929 715982568 983649532 548924337 983650791 548922241 983979039 554623398 983980120 554620957 999998060 63651312 999999365 63649290 999991497 78134952 999992846 78132996 993328767 700617449 993330137 700615523 999989434 81521781 999990655 81519620 999991537 18951994 999992640 18949602 999994965 625314778 999996307 625312812 999998169 195608683 999999746 195607010 999998169 91358025 999999746 91356352 999996307 651209605 999997674 651207675 999999598 23875491 999999829 23864070 999999329 734492772 999999435 734467883 999999329 732651070 999999435 732626181 978007715 715747716 978010096 715746608 999999836 11024184 999999981 11005990 992124509 719743210 992125434 719740358 999999710 1251703 999999947 1240572 999981420 9649527 999982629 9647345 999087330 91966663 999088687 91964719 999999993 792382770 999999996 791503444 999998292 624256862 999999476 624254634 984086091 548584642 984087542 548582824 999999986 223747993 999999991 223220430 999999710 4187168 999999947 4176038 993361225 700674582 993363289 700673304 978602601 715747757 978604404 715746294 999041069 91966663 999043000 91965297 999989803 135233886 999991235 135232044 999999948 185246144 999999959 185006352 999999841 649619171 999999884 649557830 999992683 80989990 999994492 80988532 993137969 710131765 993139347 710129851 999999435 734187999 999999752 734179679 999999983 765661805 999999985 764343093 984088283 548509721 984090017 548508200 999998060 63558746 999999365 63556725 999998060 63065379 999999365 63063358 992112475 719749463 992116388 719748789 984100258 548821607 984102826 548820580 999999969 660295285 999999993 660185397 999999925 641687264 999999979 641638425 999999946 731312050 999999975 731221109 984100052 548575443 984101368 548573439 999999923 220565220 999999955 220482807 999999899 23206947 999999943 23147011 992129430 719875046 992131098 719873465 999999899 18366840 999999943 18306908 999999607 5612131 999999730 5590692 999999975 916514073 999999982 916137375 999999955 207647184 999999976 207521622 998871994 196261899 998873274 196259839 999999975 833757583 999999982 833380908 999989737 135257756 999991058 135255760 999991537 20310697 999993010 20308907 999999982 127114177 999999988 126674736 999973145 78082077 999975192 78080789 999999948 120057456 999999959 119817774 993346565 700625148 993347789 700622994 999998226 10943777 999999144 10940905 999999144 8251759 999999638 8246422 978101235 716030217 978103175 716028858 999993032 625052909 999996307 625052104 978109581 715969327 978111726 715968098 999998060 63560766 999999365 63558746 999998060 62730664 999999365 62728644 983646435 548907525 983647757 548905531 984013832 548459428 984015525 548457871 984074258 548961057 984076113 548959636 999999999 78282416 1000000000 75646464 999999944 621766265 999999971 621668638 999971889 81151896 999972308 81145605 999999975 943566809 999999982 943190248 999999943 20328350 999999956 20125587 999999329 731552817 999999435 731527950 999988506 80995179 999989395 80992214 999996418 30156644 999998505 30155381 999988747 78121661 999990664 78120286 999999946 775353009 999999975 775262120 993140190 710110869 993141806 710109238 999999948 80484233 999999959 80244626 999991419 19781200 999991537 19758864 999981420 9581246 999982629 9579066 993363944 700659487 993365720 700658003 999999045 196221760 999999639 196217323 999996307 650270740 999997674 650268812 983970200 554633174 983971485 554631123 999973614 135208458 999975886 135207298 993340214 700625148 993341406 700622937 999991537 20070719 999992772 20068585 992091204 719750658 992092465 719748568 999999982 69419455 999999988 68980207 993145534 710123579 993147175 710121973 999999843 9722867 999999936 9694530 999997109 11076205 999999144 11074910 977317281 715067401 977318844 715065715 999990888 81543030 999992677 81541557 999999144 8138661 999999638 8133327 999999930 794899902 999999951 794774427 998862131 196255446 998863876 196253936 999999789 718703216 999999932 718684790 999999730 5100253 999999894 5084187 999998060 63623106 999999365 63621087 999998060 56502174 999999365 56500155 999999996 847240501 999999997 844605744 983767300 548509317 983768848 548507615 999997287 4985328 999999286 4984010 998891352 2150 998892578 1 999991702 18907570 999994308 18906559 999999993 971718936 999999996 970840772 983746629 548552783 983749274 548551787 999993032 624844227 999994522 624842459 999999948 192575016 999999959 192335534 998739952 196261144 998741765 196259691 984098568 548854613 984100626 548853333 999999899 17460484 999999943 17400615 999999836 10933979 999999981 10915812 999999943 16539879 999999956 16337253 999999988 170407989 999999989 167773873 998990804 4963510 998992123 4961513 999990808 16332915 999991419 16328604 999991956 16274749 999993393 16272916 999990808 15655830 999991419 15651519 999999144 9920931 999999638 9915599 999999144 8435588 999999638 8430256 999993449 20288902 999994546 20286501 999999329 727589698 999999435 727564850 999999598 19860180 999999829 19848778 998850030 196263874 998851341 196261865 999999329 734845112 999999435 734820265 977319579 715080536 977321221 715078932 999999969 689253787 999999993 689144047 999983848 78090361 999984619 78086945 978014677 715810719 978015847 715808468 999998169 90995465 999999746 90993795 999978099 133237989 999978771 133234070 999120841 81562681 999122288 81560861 984095275 548956992 984096994 548955460 999998060 62751464 999999365 62749446 999999329 727445959 999999435 727421115 999994476 20022070 999995338 20019015 999981238 133276524 999983483 133275351 998752464 196287856 998753811 196285901 999987520 81542479 999989114 81540827 999999859 11219090 999999922 11177292 999998292 624728541 999999476 624726317 999999829 22685313 999999899 22647696 978109494 715971728 978111315 715970282 984080091 548853545 984081792 548851997 998737447 196308147 998740187 196307186 999999829 24421621 999999899 24384005 983976693 554638490 983978114 554636637 999999884 657550820 999999925 657486598 999996112 30104229 999997787 30102657 999999144 7978249 999999638 7972919 999999717 12356533 999999822 12331457 977356184 715061780 977357394 715059604 999992277 78088583 999994453 78087373 983834545 548494612 983836074 548492890 983754201 548497127 983756284 548495863 999996307 650216955 999997674 650215029 993363966 700657164 993365783 700655715 984052751 548454813 984053929 548452578 999012351 4947467 999013785 4945631 999990808 15710050 999991419 15705741 999999993 740284182 999999994 737651394 992122977 719852997 992124478 719851243 999999933 30752015 999999957 30642317 998848087 196259349 998849357 196257276 984053929 548453945 984054675 548450416 999999638 9452045 999999843 9439203 999999789 715110527 999999932 715092118 999999605 10413584 999999836 10402188 999999598 17185620 999999829 17174224 999999882 33670719 999999997 33647828 984049357 548455177 984050783 548453331 993233168 700623219 993235893 700622253 999999999 781496968 1000000000 778864642 993152112 710123614 993153264 710121329 978115204 716024690 978116682 716022909 999995929 24815318 999997102 24813074 998830742 196276485 998831955 196274315 978105582 715957048 978107187 715955408 984084173 548850866 984085376 548848678 999999710 2385749 999999947 2374643 999999931 634791996 999999944 634589538 999999948 152621458 999999959 152382192 999982687 80950876 999984590 80949493 983643618 548905910 983645452 548904475 999998840 29970986 999999605 29967546 978106587 716030719 978109314 716029754 999999144 9439268 999999638 9433941 999996307 651591288 999997674 651589363 998862131 196280036 998863876 196278528 999948527 3182 999949763 1053 999999410 228787679 999999909 228782406 993113034 710122245 993114179 710119947 999974683 80985078 999976178 80983318 983651869 548911176 983653923 548909895 993097186 710118679 993099531 710117557 983764773 548522566 983768537 548521867 999999329 733233188 999999435 733208367 999999995 129419628 999999996 126788722 999981245 133219544 999982606 133217611 999999410 228221205 999999909 228215933 999991537 20341826 999992869 20339851 999999710 3170260 999999947 3159160 999999994 200709433 999999995 198078756 977360624 715081756 977362761 715080525 999999598 19129908 999999829 19118520 999996580 24825606 999997892 24823601 999987854 81163644 999989293 81161816 999999435 773507029 999999752 773498731 999999435 771795151 999999752 771786853 999998169 195726356 999999746 195724688 999999975 969827310 999999982 969451537 999999329 720214804 999999435 720189990 999995840 11086842 999997854 11085536 984076573 548554337 984079333 548553384 999999841 640389679 999999884 640328510 983765222 548534783 983766526 548532766 999996307 658086567 999997674 658084643 999141794 81569413 999142441 81565348 984095139 548555551 984097502 548554438 999999841 647894502 999999884 647833339 999991419 21462970 999991537 21440682 983760942 548497925 983762277 548495955 992108926 719864094 992110709 719862619 999993032 624826064 999994815 624824589 977960096 715778883 977961201 715776503 984075012 548705158 984076602 548703504 999998292 623546666 999999476 623544445 999974373 135198008 999975218 135194896 999998060 59814981 999999365 59812966 999981420 10736567 999982629 10734392 983763102 548491789 983764550 548489973 984099623 548833051 984101345 548831524 999999855 30096631 999999933 30062920 983970200 554675877 983973080 554674964 984099855 548554269 984102826 548553384 999999410 231257231 999999909 231251962 999999930 786417773 999999951 786292575 983644660 548918668 983646295 548917060 984061393 548459233 984062897 548457485 999005708 4976564 999011019 4976069 983645314 548935940 983647076 548934448 983758574 548498129 983759934 548496196 999999930 800565079 999999951 800439895 999994570 20349992 999995338 20346569 999999710 2762358 999999947 2751266 999996307 650838921 999997674 650836998 999976198 81140359 999977729 81138642 999997287 4924533 999999286 4923218 999999882 31442598 999999997 31419740 992120041 719755014 992121238 719752818 999971889 135205706 999973537 135204111 999998840 30305952 999999605 30302516 999176477 4823172 999178270 4821706 978012674 715854960 978014091 715853105 999990808 23226118 999991419 23221816 999999638 9413473 999999843 9400651 999996246 30210052 999997840 30208403 983655100 548909141 983656876 548907661 977959827 715803540 977961201 715801627 978495181 716060262 978498108 716059364 998755398 196299949 998757466 196298678 999999948 185783775 999999959 185544830 998972337 91966663 998973546 91964489 999994519 625160705 999996307 625159235 999999822 13340542 999999980 13323907 999999710 2171271 999999947 2160181 999999948 129684060 999999959 129445122 993359055 700647777 993360576 700646049 999999410 230101836 999999909 230096569 999996180 81001609 999997675 80999851 999999925 639983099 999999979 639934432 999999944 628271510 999999971 628174176 984062817 554478887 984064474 554477301 984088520 548824858 984090490 548823524 999999730 5258473 999999894 5242449 999999435 772013844 999999752 772005554 999999843 8288612 999999936 8260355 999981854 81136546 999984066 81135358 978493333 716064818 978495181 716063396 983651869 548903304 983653026 548901033 993116797 710119032 993118490 710117480 999992170 16285896 999994153 16284571 999994336 29979169 999995971 29977562 999999730 4488016 999999894 4471995 999996307 651136335 999997674 651134413 999999884 643489456 999999925 643425375 999984066 81138618 999985497 81136782 999998169 91169622 999999746 91167956 999998169 91161964 999999746 91160298 978096825 716005011 978098322 716003256 983757674 548522566 983758381 548518850 999994156 225214799 999994326 225199345 999999598 18720316 999999829 18708943 999999605 25419655 999999895 25410596 978688115 715740555 978689560 715738737 999998060 63465589 999999365 63463576 999993986 10989854 999995101 10987498 999999969 670292931 999999993 670183479 993091857 710127784 993097364 710127307 983763331 548524220 983765002 548522648 999999882 38556829 999999997 38533988 999990808 23262080 999991419 23257781 999997287 4550224 999999286 4548910 998758625 196265562 998760109 196263792 999994156 223612852 999994326 223597401 999018281 4976636 999020231 4975289 999991537 20092448 999995338 20091757 999985951 135233332 999987176 135231188 993332153 700622266 993333378 700620122 999999925 646379863 999999979 646331226 993352694 700596525 993354405 700594990 998926200 91966422 998927216 91963837 999147023 4948926 999148752 4947407 999999975 773190229 999999978 772314802 999999314 26300177 999999605 26291152 999999919 198491968 999999923 197835407 983655171 548929911 983657112 548928558 977348055 715064604 977349637 715062944 999996307 656976170 999997674 656974249 999996307 656594010 999997674 656592089 999996307 651307359 999997674 651305438 999999829 16824410 999999899 16786896 984081792 548856043 984083372 548854381 999987166 78082746 999988331 78080492 999999948 119434768 999999959 119196050 993340661 700602998 993342072 700601137 993101159 710121130 993102873 710119598 998747171 196305374 998748722 196303681 999996279 30074379 999997883 30072742 983654029 548961057 983655776 548959554 999999410 230972774 999999909 230967512 999999410 229361142 999999909 229355880 999995060 24810286 999996610 24808592 983643071 548910807 983644766 548909258 999998840 30667809 999999605 30664377 999998840 30289187 999999605 30285755 984100327 548471246 984102205 548469848 998844092 196254387 998846752 196253400 999994594 10994786 999996241 10993192 999999948 186105554 999999959 185866900 999979271 133288070 999981121 133286651 983645349 548937130 983647555 548935940 999973442 81147468 999975177 81145955 999171969 4802260 999173719 4800760 999999946 741445230 999999975 741354716 999999435 775342113 999999752 775333833 977317447 715069247 977319443 715067932 999999948 192079393 999999959 191840782 999998840 30456098 999999605 30452667 999999974 959081386 999999975 956456689 999144642 81578845 999145975 81576876 999993757 29977562 999995595 29976134 984081144 548822681 984082927 548821209 999995569 133245632 999996977 133243768 999999884 655363861 999999925 655299849 999999998 697419367 999999999 694794908 999999435 775369809 999999752 775361530 999980463 134196851 999981856 134194967 999993414 11087300 999999144 11086842 999999997 819263242 999999998 816638945 999990808 15450698 999991419 15446403 999986014 30762289 999987955 30760937 999997522 30186728 999998754 30184598 999999329 727871362 999999435 727846606 999999982 104077337 999999988 103639988 984088555 548494743 984089962 548492878 998749088 196257986 998750486 196256109 999999974 917481014 999999975 914857046 999999987 208019757 999999988 205395931 993111066 710116161 993113024 710114821 984088665 548528398 984090125 548526601 999999933 30590734 999999957 30481417 992122493 719850408 992123521 719847856 978109140 715926122 978111111 715924791 999999882 35039419 999999997 35016607 999999948 158222025 999999959 157983536 999999789 719268106 999999932 719249761 999185572 4800108 999187299 4798589 999994156 224616942 999994326 224601511 999999969 680773271 999999993 680663969 999999638 8241054 999999843 8228258 999141794 81579755 999143202 81577892 999992026 30758849 999993513 30757085 999998060 56414399 999999365 56412389 999998060 56260291 999999365 56258281 999994114 18983855 999995338 18981712 999997129 196240627 999999045 196239258 999999909 205521876 999999919 205259577 983978642 554668344 983980441 554666886 999999985 207289908 999999986 204666969 999991537 16335420 999992656 16333076 999999930 787178586 999999951 787053685 999997962 4568150 999999286 4566169 999999314 25253044 999999605 25244031 984054299 548459704 984056001 548458163 992118478 719748316 992120041 719746638 999999969 672333397 999999993 672224118 999991537 20292030 999995338 20291340 999990114 64111959 999991515 64110087 999993414 9044302 999995290 9042904 999997110 24902838 999999367 24901676 978099355 716007825 978100905 716006133 993234154 700606687 993235193 700604163 984083120 548572576 984084972 548571160 999999598 19383950 999999829 19372598 977323466 715075269 977325004 715073564 984096380 548495929 984098591 548494743 999994167 18900009 999995280 18897653 999999144 8298494 999999638 8293186 999999841 645766203 999999884 645705224 999999992 223925750 999999993 221303674 999999837 29121889 999999983 29103930 977367727 715081998 977369107 715080098 998869656 196269335 998870991 196267371 999999948 69751480 999999959 69513124 999999982 149010712 999999988 148573733 979528768 713841510 979530590 713840071 999993984 10906435 999996294 10905300 999999884 645912394 999999925 645848447 999990985 133241896 999992413 133240060 983767633 548553384 983768805 548551147 998749433 196293730 998750883 196291922 999999435 733323751 999999752 733315481 999026158 4954754 999028267 4953511 999999455 5326128 999999607 5308882 999981109 135195098 999982169 135192625 999977141 81545016 999978495 81543080 999992545 20216206 999994309 20214720 999999329 725680141 999999435 725655412 999979329 3182 999980153 1 999981420 9811605 999982629 9809437 999999997 814259196 999999998 811638116 999999979 642452638 999999997 642307028 998745100 196272293 998747053 196270951 999998840 30390514 999999605 30387088 999994156 223643746 999994326 223628329 978113953 715922876 978115529 715921213 999108234 81585341 999109186 81582588 999999925 656626407 999999979 656577874 993347206 700667628 993348952 700666127 984096640 548576441 984097811 548574203 999999925 642647088 999999979 642598557 999999329 731956671 999999435 731931948 999996307 651618515 999997674 651616598 999996307 651551879 999997674 651549962 992094424 719746343 992095461 719743816 999999598 23341549 999999829 23330205 999999923 198523647 999999955 198441758 999998060 63657194 999999365 63655186 999998060 56490419 999999365 56488411 999980583 135233047 999982229 135231455 999994156 226134539 999994326 226119125 984024733 548451262 984028303 548450528 999999948 65814428 999999959 65576215 999995240 11092388 999997121 11090995 999999974 988039264 999999975 985419081 999999996 751169029 999999997 748548869 998871994 196263576 998874041 196262296 999999982 128891934 999999988 128455254 999991419 24065229 999991537 24043025 984096993 548723803 984098701 548722269 978617262 715736609 978623398 715736182 999993032 625245202 999996307 625244402 998919224 91965261 998920595 91963350 978580502 715810270 978582427 715808909 999999542 29672702 999999837 29663821 999991537 18988394 999992426 18985447 978119249 715969742 978119718 715964156 999137007 81586667 999139553 81585638 978028832 715863620 978030397 715861946 999999329 777504174 999999435 777479459 999994156 225286021 999994326 225270611 992065150 719751765 992066350 719749582 999999314 26038457 999999605 26029455 999999975 839021936 999999982 838647717 999993032 624759178 999994582 624757488 999999884 656876023 999999925 656812134 983757488 548515860 983759246 548514370 999999710 2001961 999999947 1990909 984086865 548450303 984088256 548448420 999027449 4945900 999028688 4943786 977337620 715070043 977339518 715068663 999996307 658021620 999997674 658019704 999996307 650815746 999997674 650813830 999999329 726208422 999999435 726183714 999998292 623943327 999999476 623941115 999999923 218108374 999999955 218026531 979493748 713845175 979495150 713843307 984094612 548503895 984095717 548501525 992110033 719844293 992112578 719843264 999999955 223269016 999999976 223144316 999981420 10274852 999982629 10272686 999997287 4554490 999999286 4553180 999997287 4539855 999999286 4538545 999175283 4823838 999176477 4821645 999998022 30070367 999998840 30067166 999999988 196019636 999999989 193401262 983640419 548918668 983641985 548916996 984074608 548954588 984076021 548952735 999993414 10934462 999995263 10933046 993347206 700633597 993348307 700631219 999999975 817271057 999999982 816897032 998752215 196290903 998754283 196289637 983759184 548510747 983760654 548508966 999999909 209430448 999999919 209168641 977311599 715079726 977314390 715078788 984096374 548843714 984098050 548842152 999997569 24922220 999999367 24920764 999999948 104990747 999999959 104752758 983834461 548499674 983837243 548498733 993137056 710126068 993138253 710123881 999184157 4823450 999186355 4822259 999168700 4828445 999170734 4827158 999997393 10922222 999999144 10920727 999999982 139361086 999999988 138924802 999992564 78085565 999994124 78083887 999110608 91966663 999111932 91964686 999999542 29802176 999999837 29793303 992124419 719881913 992125597 719879691 992110649 719868664 992111827 719866442 999999837 29359109 999999983 29341182 977360991 715070946 977362820 715069515 999999822 15258083 999999980 15241518 999999979 650736143 999999997 650590743 993352823 700619335 993356616 700618645 999992932 16251728 999994975 16250447 984069991 548720275 984071032 548717761 992108430 719870389 992109558 719868069 999999607 4734709 999999730 4713433 999152401 4953494 999153583 4951280 999990808 23990099 999991419 23985816 977976567 715742580 977978378 715741135 999999979 649426901 999999997 649281518 999999455 5485118 999999607 5467902 999999946 762085726 999999975 761995491 983645029 548927554 983648923 548926882 999993456 135231922 999995472 135230624 999999410 227876191 999999909 227870947 999010096 4974798 999011019 4971963 983970200 554591360 983971691 554589605 999997287 4768969 999999286 4767660 993348691 700627901 993349943 700625811 978686572 715817159 978688258 715815607 999998292 624572670 999999476 624570460 999999899 18646189 999999943 18586721 999999435 772103697 999999752 772095443 999999975 736882033 999999978 736009884 999996307 657889616 999997674 657887702 999996307 656998601 999997674 656996687 999996307 651372439 999997674 651370525 999999605 25519912 999999895 25510890 999988498 30762416 999990267 30760937 999996947 78077827 999998169 78075686 993091857 710184591 993093808 710183250 999999598 19258163 999999829 19246838 999987232 80946804 999989118 80945417 992134531 719883045 992135550 719880478 999981585 81182073 999982647 81179610 983971996 554678989 983973080 554676576 992078491 719751594 992079563 719749154 999997373 30115064 999998840 30113281 999999730 6323970 999999894 6308021 993355625 700672065 993357339 700670539 999999919 219526965 999999923 218873078 993349422 700642345 993351260 700640922 999999598 15846960 999999829 15835638 999991419 20129875 999991537 20107711 999999990 626269388 999999992 624961718 999993762 625119212 999995108 625117269 983973027 554618821 983976068 554617961 999982900 78072393 999984104 78070221 998917077 91965860 998918618 91964163 999981420 11096841 999982629 11094678 999999923 228861704 999999955 228779985 999163024 4972863 999164772 4971367 984090246 548708086 984091225 548705415 999999993 850082435 999999996 849210801 993127186 710135632 993129632 710134563 978683847 715811749 978685348 715810007 999997287 5112607 999999286 5111299 999999946 727731501 999999975 727641340 999998169 195586622 999999746 195584964 999159992 4963020 999164772 4962473 999014509 4945945 999015704 4943757 992127176 719872278 992129430 719871118 999999841 655348404 999999884 655287599 984081871 554484705 984083177 554482703 999999975 792028312 999999982 791654808 999999948 100732555 999999959 100494878 999993254 80964812 999995287 80963526 999999638 10105994 999999843 10093241 999971889 135201525 999973290 135199659 999999144 8315606 999999638 8310314 999999997 34867809 999999998 32253744 999985804 133285523 999987654 133284110 999976644 133244096 999977977 133242135 999999435 772398714 999999752 772390468 984087796 548473673 984089300 548471935 999991419 20202628 999991537 20180476 999998060 63306398 999999365 63304395 998860665 196273799 998862131 196272016 999994085 10998204 999995752 10996636 999994271 624755012 999995985 624753487 999987759 81139433 999988726 81136730 999999948 87149436 999999959 86911818 999175469 4815925 999177192 4814408 993351505 700653484 993353188 700651931 999026158 4951713 999029075 4950817 999999998 917182885 999999999 914569288 999999638 10016269 999999843 10003520 999995748 24702906 999997488 24701404 999994545 24841495 999995449 24838604 992142143 719747616 992142941 719744341 992119039 719867650 992120579 719865953 999999605 10474317 999999836 10463004 999999969 711582502 999999993 711473615 999999982 194257731 999999988 193822190 983976882 554651516 983978321 554649700 999999976 209463981 999999984 209137332 999999598 23314730 999999829 23303418 999999985 753536853 999999986 750923809 999999789 715423353 999999932 715405080 999999435 772383215 999999752 772374972 999993825 18909297 999995338 18907570 983648140 548920899 983649984 548919482 992116034 719742454 992116696 719738507 979499808 713840702 979501411 713839072 999974495 78134532 999976488 78133221 999999925 652707130 999999979 652658745 999999989 73158258 999999990 70545475 999999987 218281462 999999988 215668708 999999982 175886008 999999988 175450551 983769594 548539224 983772153 548538203 999997287 4779268 999999286 4777961 984052939 548457282 984054675 548455777 999990808 24377823 999991419 24373547 999990808 24063218 999991419 24058942 999998060 63502707 999999365 63500705 978104418 715889436 978106649 715888265 999983614 30742055 999985148 30740352 999999435 771867681 999999752 771859440 999999598 20840688 999999829 20829379 992128799 719889013 992129430 719884873 999996307 658048508 999997674 658046597 984019733 548459978 984021100 548458067 999999144 8027721 999999638 8022433 978022846 715848635 978024634 715847174 999999975 884865473 999999982 884492301 978103895 715906020 978105192 715904006 978483015 716053137 978484467 716051338 978686268 715811935 978687777 715810204 999979449 81541912 999980279 81538765 992092774 719743947 992094424 719742364 999999955 214016340 999999976 213891964 999999993 663660075 999999995 662354164 983748415 548494257 983749805 548492378 999971889 135258611 999974731 135257692 999996403 24706716 999997505 24704346 998864087 91966663 998866219 91965438 984068475 548826013 984069788 548824024 999998169 91120239 999999746 91118583 999994944 625375687 999996307 625373771 999997840 4529663 999999286 4527857 993343135 700594156 993345634 700593111 984057879 554484670 984059680 554483220 999999435 720553668 999999752 720545430 999981420 9724202 999982629 9722042 992119039 719873699 992119891 719870634 978115366 715886407 978116712 715884467 999999909 215919629 999999919 215658522 999994538 133247322 999996083 133245632 984097233 548954651 984099284 548953378 999999435 733379643 999999752 733371407 999999435 733005726 999999752 732997490 999999975 837100392 999999982 836727419 999999975 909894647 999999982 909521676 999999948 125284872 999999959 125047541 999999930 778791141 999999951 778666825 999999789 719889593 999999932 719871337 998862131 196257452 998863876 196255956 999994156 231061192 999994326 231045837 999990808 16082264 999991419 16077992 992079276 719745388 992080292 719742819 983659139 548933149 983660197 548930682 999999986 758934269 999999988 757629232 999999884 654953368 999999925 654889709 999973356 133256032 999974609 133253949 999999982 98302785 999999988 97867805 977957990 715755937 977959231 715753834 998870991 196271093 998871994 196268491 999999829 21248013 999999899 21210731 999971889 81530962 999972857 81528266 999976179 80979258 999977369 80977065 999999946 766482682 999999975 766392695 999999329 731735344 999999435 731710725 999996307 656552635 999997674 656550726 999996307 650984765 999997674 650982856 999998840 30344627 999999605 30341216 999999998 847159612 999999999 844550243 999995672 135193499 999998169 135192454 999999998 684264495 999999999 681655131 999997287 5139301 999998748 5137515 999999829 19665696 999999899 19628420 999999990 134522554 999999991 131913238 999994986 30227109 999998840 30226432 999999476 618422681 999999484 618096537 999999884 653594484 999999925 653530847 999979313 78128786 999981543 78127616 984098678 548961057 984099834 548958800 978685871 715765246 978687140 715763190 999981420 11002766 999982629 11000608 983646376 548950796 983648445 548949535 999999605 30700596 999999855 30690160 999999435 774213554 999999752 774205324 999996522 78093886 999998169 78092302 999999314 25036758 999999605 25027793 999999144 7496199 999999638 7490918 984077686 548567476 984078773 548565076 977345565 715061748 977346643 715059328 999999730 5953473 999999894 5937566 999996268 30180433 999998591 30179310 999998060 60064447 999999365 60062448 999998060 59792365 999999365 59790366 984096031 554480543 984097306 554478497 999999435 777481887 999999752 777473658 983762969 548519578 983764773 548518132 999999822 12570702 999999980 12554192 992142665 719882000 992144178 719880276 993115634 710122915 993117531 710121540 999998169 91356352 999999746 91354698 999998169 90684793 999999746 90683139 999998292 623475788 999999476 623473585 999994025 624924834 999996307 624923691 999999144 8829961 999999638 8824681 978118886 715897921 978119718 715894786 999999435 734628217 999999752 734619989 999996307 657785062 999997674 657783154 999996307 650964512 999997674 650962604 999978443 81177451 999980141 81175915 993368853 700616940 993370244 700615065 999999899 20052920 999999943 19993646 992135828 719739186 992139669 719738507 999999329 728903567 999999435 728878963 999997950 4535808 999999286 4533856 999999948 122749106 999999959 122512030 999999410 227581620 999999909 227576394 999990808 23351916 999991419 23347648 999999837 29303307 999999983 29285446 999993032 625018571 999993968 625015785 999094593 91964257 999096271 91962703 993359376 700632669 993360430 700630195 998876120 91964715 998877416 91962703 983978321 554652047 983979432 554649700 999991537 20062646 999995338 20061960 999983190 135246922 999985383 135245733 993140941 710126988 993142211 710124935 999989186 133270282 999990305 133267952 999999837 28994740 999999983 28976882 992130869 719844153 992133345 719843100 999974463 135244087 999975855 135242214 999990808 24177348 999991419 24173081 999973647 81510563 999975377 81509056 998874011 196280691 998875809 196279241 983751198 548498458 983752497 548496451 999999976 210004374 999999984 209678497 984086949 548463507 984088921 548462185 984098274 548586747 984100533 548585593 999996307 656689547 999997674 656687640 999999982 89929039 999999988 89494575 999998169 195804954 999999746 195803301 999998169 90653743 999999746 90652090 983978322 554634899 983980192 554633505 999126594 81571445 999128300 81569917 999997287 4815857 999999286 4814553 999997287 4683924 999999286 4682620 999999983 6880410 999999984 4273745 999999982 6880410 999999983 4273745 999999981 6880410 999999982 4273745 999999980 6880410 999999981 4273745 999999979 6880410 999999980 4273745 984099235 548850770 984100481 548848678 984099949 548723384 984101721 548721913 999999598 22606976 999999829 22595692 999989522 135251561 999991058 135249864 999999955 225712013 999999976 225587892 999999837 27552834 999999983 27534981 999991058 135249669 999995446 135249075 993343135 700590454 993345634 700589411 999994156 227969092 999994326 227953760 999999435 721068092 999999752 721059870 999999975 965071032 999999982 964698706 999999789 718086205 999999932 718067980 999999969 690641937 999999993 690533348 999998060 62965336 999999365 62963339 999998060 59951819 999999365 59949822 999999435 734904877 999999752 734896656 999999435 732154802 999999752 732146581 999995421 30005245 999997376 30003912 999975551 81512214 999977786 81511048 999187667 4823010 999189257 4821371 999999997 209689819 999999999 208386824 984067070 548848678 984068850 548847214 999983121 135208458 999988550 135207978 999990808 24195551 999991419 24191286 999999144 8354832 999999638 8349557 984094398 548721784 984095528 548719478 999999829 22099909 999999899 22062684 999999836 10677229 999999981 10659259 999999822 14016789 999999980 14000298 999994260 81521369 999995386 81519055 999994414 10903410 999996448 10902129 999999993 917478070 999999996 916609562 993357815 700651931 993359028 700649783 999996307 657512221 999997674 657510315 999994805 24703871 999997505 24702906 978116712 715886407 978118055 715884467 999999710 2034894 999999947 2023901 999999710 89958 999999947 78965 978107534 716041094 978109203 716039533 999997008 133219773 999998169 133217529 999999946 747806767 999999975 747716931 983836143 548489203 983838209 548487942 999999946 726874542 999999975 726784708 999999638 9776236 999999843 9763528 984030565 548452152 984032769 548450970 978100468 716045998 978101521 716043524 999999927 25871435 999999943 25708615 999979327 81521781 999979840 81516703 993348071 700644424 993349324 700642345 999983308 80968682 999984919 80967065 999976707 135241522 999977908 135239353 978111260 715915478 978113284 715914191 999999946 756562345 999999975 756472525 999972946 80960574 999974779 80959153 984084161 548718616 984084480 548710451 999999367 24832921 999999638 24823310 999999948 160175360 999999959 159938581 999975868 80959670 999977146 80957632 999980399 133229003 999982445 133227730 992113381 719857326 992114974 719855691 999999435 735163004 999999752 735154788 999999789 713800633 999999932 713782420 999999993 940993035 999999996 940124886 999173719 4798988 999176765 4798133 999999410 227279416 999999909 227274197 999971889 135233047 999973316 135231222 999999992 110287524 999999993 107683278 999998792 24788582 999999367 24784053 999996307 657251616 999997674 657249711 999996307 651196437 999997674 651194532 999996307 650538307 999997674 650536402 999988425 78119741 999990664 78118578 992138571 719870801 992140497 719869449 999999955 224684355 999999976 224560359 999999144 8674506 999999638 8669235 984098442 548534985 984100322 548533600 999999974 983477867 999999975 980874082 984013655 548462643 984016233 548461633 999994156 229427591 999994326 229412275 992084517 719755014 992085369 719751958 999981251 81533944 999982570 81531970 999974470 81178779 999976479 81177483 984070392 548845217 984072360 548843894 983976131 554627270 983978399 554626122 999998169 195792100 999999746 195790449 992129176 719755014 992130752 719753362 999999435 772166668 999999752 772158455 999990808 23539946 999991419 23535685 993241607 700612987 993243180 700611332 999985848 80947298 999987232 80945417 999011019 4968738 999013765 4967790 999156690 81561626 999158129 81559817 984085258 554479763 984086126 554476764 977312876 715071149 977315663 715070215 999999329 777371557 999999435 777347000 999991537 20209579 999993779 20208418 977328655 715070212 977329849 715068032 984068100 548855319 984070716 548854324 999999435 732972569 999999752 732964358 999994156 228145602 999994326 228130291 984070180 548841347 984071622 548839542 999144101 81567778 999145609 81566052 999976257 134191360 999977483 134189237 998839776 196258405 998841899 196257179 999996307 651236539 999997674 651234635 999997287 4606675 999999286 4605373 984092401 548462892 984093685 548460865 999999435 720381887 999999752 720373677 978501058 716051929 978502269 716049780 999999948 159175425 999999959 158938847 978104096 715924219 978106252 715923012 999999710 1143626 999999947 1132646 999999969 679119499 999999993 679011075 999998060 63394593 999999365 63392599 999998060 59980013 999999365 59978019 999998060 56729367 999999365 56727373 999998060 56379699 999999365 56377705 999999286 5746775 999999455 5731378 999982282 26676365 999983842 26674697 999998169 195263869 999999746 195262219 979492098 713844446 979493748 713842869 999998169 195599647 999999746 195597997 999161259 4965850 999163150 4964474 999999435 775969677 999999752 775961469 999999997 47620919 1000000000 46753626 999999967 4995231 999999977 4735044 999974552 135252005 999975440 135249075 978099964 716028068 978101490 716026363 984056128 554476169 984057873 554474678 999999598 16030464 999999829 16019201 999994583 20043703 999995338 20040257 999999341 7047586 999999588 7037053 999996545 81158441 999998169 81156839 998743501 196273437 998745100 196271810 999983456 81533804 999985744 81532667 978579680 715780571 978582427 715779624 999996307 657621231 999997674 657619328 999999979 643754412 999999997 643609891 998874011 196278636 998876690 196277665 999993785 18995775 999995338 18994100 999994591 135211607 999998169 135210880 999999923 225890990 999999955 225809703 984043410 554472700 984045814 554471618 983649768 548897280 983651869 548896042 999993216 625116970 999994635 625115137 984069733 548849700 984072278 548848678 999999923 230003256 999999955 229921976 983643796 548917060 983646361 548916046 999998060 62846045 999999365 62844052 983977161 554690676 983978888 554689170 999989954 30788865 999991516 30787200 999981420 10866844 999982629 10864693 999999975 777610129 999999978 776743296 999998169 90857658 999999746 90856009 999999843 8095370 999999936 8067408 999995489 625320349 999996307 625317170 999999144 9877223 999999638 9871959 999999144 7870015 999999638 7864751 999999144 7844827 999999638 7839563 999999286 5049267 999999455 5033880 999999598 20861981 999999829 20850724 999999435 771669665 999999752 771661462 999989210 64084407 999990728 64082694 999995555 24872118 999998127 24871107 978633434 715744392 978634123 715740618 999999993 919055217 999999996 918188457 999028143 4971632 999029075 4968842 998993437 4955831 998995229 4954380 978006684 715746839 978007715 715744317 999999836 10443701 999999981 10425769 999997448 4674361 999999212 4672887 983970701 554691268 983972132 554689451 998752955 196262928 998754018 196260482 999999286 6773424 999999455 6758039 999998292 624024618 999999476 624022422 999994111 624840508 999996307 624839324 999011019 4973233 999012795 4971769 999999435 774831305 999999752 774823103 999999909 209168641 999999919 208908640 999999993 960073879 999999996 959207218 999987232 80951477 999990298 80950629 999999455 6111273 999999607 6094168 993353375 700682746 993355060 700681203 993326625 700603254 993328452 700601831 999990808 23371227 999991419 23366972 999999948 97898606 999999959 97662261 998751824 196285901 998753540 196284386 999999435 773527848 999999752 773519647 983769752 548502554 983771343 548500920 983767253 548489140 983768501 548487057 999998060 63482644 999999365 63480652 999998060 59995573 999999365 59993581 993238831 700599775 993241302 700598723 999999997 229319149 999999998 226719702 999999435 734167818 999999752 734159618 999999948 141663218 999999959 141426909 999999607 6378919 999999730 6357786 999981420 10389692 999982629 10387542 999981420 10316914 999982629 10314764 993143521 710121084 993145522 710119785 999999410 227488293 999999909 227483084 999999971 635054912 999999983 634838310 999993115 20070719 999994333 20068585 999156852 4973859 999159446 4972857 999999976 204963376 999999984 204638478 999999997 216922126 999999998 214322998 993225592 700603793 993228657 700602945 999999710 1497539 999999947 1486573 999994107 30181090 999995567 30179310 999999410 229584694 999999909 229579486 999999822 14938448 999999980 14922000 999981543 78124863 999983617 78123610 983761671 548491789 983763102 548489973 999996307 657964501 999997674 657962600 999996307 651161595 999997674 651159694 999996205 11078602 999997461 11076533 984072422 548461574 984076249 548460895 999978604 135232161 999980583 135230848 999993794 624818796 999996034 624817636 999999982 135928467 999999988 135495405 999999946 772971996 999999975 772882401 999998060 62725130 999999365 62723139 999999955 221936489 999999976 221812763 984071294 548715054 984072361 548712619 999981420 10245765 999982629 10243616 999999923 221623800 999999955 221542609 999993032 625075059 999994206 625072846 998836390 196262681 998838088 196261151 993349943 700633597 993352528 700632592 978104832 715881791 978107374 715880769 993349129 700597617 993351508 700596525 992128837 719850408 992129942 719848057 998997134 4945041 998999204 4943786 999999990 117441862 999999991 114844221 992143200 719887893 992144178 719885237 999999975 930436357 999999982 930065277 999992545 20143633 999995338 20142703 999999286 7130701 999999341 7083474 999994751 625002151 999995795 624999663 992130752 719751539 992132144 719749673 998752334 196306994 998753913 196305349 999994156 230644226 999994326 230628947 999991419 20342588 999991537 20320576 999999975 834142649 999999982 833771592 999998169 90947326 999999746 90945679 999996307 650758446 999997674 650756546 978103895 715885083 978105229 715883136 999999149 26337786 999999314 26322045 999999455 5082810 999999607 5065723 999999884 641653907 999999925 641590562 999999638 10251691 999999843 10239022 984074327 548581573 984075754 548579753 999999955 215527813 999999976 215404140 984076883 548588369 984078202 548586400 983972852 554650350 983973940 554647963 978686633 715806403 978688596 715805080 978585938 715747776 978587261 715745813 998842934 196274090 998844188 196272019 999998060 63937713 999999365 63935723 999998060 56731357 999999365 56729367 999981420 9850700 999982629 9848552 993098612 710139994 993100550 710138654 999999329 720006940 999999435 719982442 992135828 719741087 992137194 719739186 999990808 24227855 999991419 24223605 999975620 78099902 999977010 78098034 999998292 623628035 999999476 623625842 999990682 80974860 999992002 80972893 993366608 700602552 993368724 700601325 992138482 719880276 992140598 719879049 999993399 16298411 999995338 16297072 999991537 16352868 999992981 16351070 999999542 27682905 999999837 27674104 999993871 133235912 999996399 133234885 999169771 4827158 999171431 4825594 999999598 19910422 999999829 19899183 993102394 710117689 993104435 710116417 977986428 715745899 977988570 715744687 999999605 26460226 999999895 26451274 999986541 78124478 999988566 78123196 999999993 815765595 999999996 814900247 978104047 715963463 978105609 715961801 999140296 81580212 999141794 81578479 999999717 14676855 999999822 14652131 999999435 733438214 999999752 733430025 999994156 227739435 999994326 227724165 993093066 710163122 993094557 710161381 999999975 843620020 999999982 843249192 999999859 11813857 999999922 11772654 999999822 13317065 999999980 13300636 999977953 135206308 999980834 135205407 999996858 81515191 999998169 81513211 999998169 91345165 999999746 91343519 978111857 715954118 978113403 715952439 999999884 655545639 999999925 655482330 999999931 636870034 999999944 636670368 999999638 10063706 999999843 10051045 999999638 7209228 999999843 7196567 999999980 8960040 999999987 8589256 977316857 715080555 977318083 715078438 992112503 719852538 992115542 719851684 993364956 700671532 993366577 700669931 999182809 4805368 999183644 4802260 992124688 719849810 992125974 719847792 999999829 24066385 999999899 24029312 993101236 710118656 993102325 710116273 999167153 4827321 999168477 4825361 999999789 716870467 999999932 716852320 999999329 722637881 999999435 722613400 999000688 4966992 999001745 4964537 999983577 134186685 999985812 134185524 983974269 554666599 983976007 554665106 984097112 548584208 984098857 548582721 998737210 196295887 998742033 196295349 999997287 4423892 999999286 4422594 978026088 715859406 978027608 715857699 999999948 178795234 999999959 178559359 999999975 1000000000 999999982 999629340 999996307 657159955 999997674 657158057 999996307 650380816 999997674 650378918 999993414 9093153 999995743 9092039 999999948 71632798 999999959 71396943 999977132 133229372 999978794 133227811 999998060 63150245 999999365 63148257 999991419 15991435 999991537 15969450 999998169 91621821 999999746 91620176 999998292 623766271 999999476 623764080 978104654 716028073 978106587 716026731 999999993 161647194 999999994 159053127 999999435 775040375 999999752 775032192 999999435 734306083 999999752 734297900 983771571 548505624 983773788 548504454 999993032 625058871 999996307 625058079 999999822 13356958 999999980 13340542 999999435 771246707 999999752 771238525 984098064 548582721 984098999 548579947 998845046 196279154 998846831 196277701 978104030 716022058 978105492 716020284 999993509 19033197 999995338 19031779 999999829 23413163 999999899 23376113 999999987 22829898 999999988 20236486 999999923 196472028 999999955 196390984 993148125 710135632 993149457 710133685 999999314 26339311 999999605 26330399 999999542 28497934 999999837 28489143 993346712 700610316 993348384 700608765 977341757 715071432 977342307 715066717 999996307 651441367 999997674 651439470 999990808 15883080 999991419 15878836 999999542 28877308 999999837 28868518 999999638 9882556 999999843 9869907 983757341 548552263 983759279 548550925 999998060 56195928 999999365 56193941 999997981 4698385 999999286 4696398 992091683 719755014 992094577 719754118 999991346 78102770 999992260 78099933 999999975 821078621 999999982 820708192 993353668 700599175 993354743 700596763 999999605 25997321 999999895 25988380 999999969 663031920 999999993 662923889 999999435 772891135 999999752 772882956 999999997 892042269 999999998 889449582 993337811 700611678 993338970 700609441 999999144 10795041 999999605 10789417 999974296 135211640 999975755 135209863 999017429 4954267 999018621 4952092 999998169 195739697 999999746 195738053 999999837 28807413 999999983 28789656 999986046 134199971 999987425 134198091 983761874 548503555 983763190 548501585 999999623 26783651 999999920 26774922 978485894 716052034 978487114 716049909 998827356 196258658 998829122 196257190 999999410 231009980 999999909 231004785 999981242 133250445 999982629 133248576 984096239 548590163 984097641 548588314 999986832 26682967 999989219 26681881 999991537 20298824 999995338 20298142 999999946 720171391 999999975 720082003 984029556 548450970 984031709 548449766 999991537 20152761 999993143 20151147 999999982 160717235 999999988 160285227 999999948 88663425 999999959 88427792 978017061 715851027 978019845 715850096 999999841 651312311 999999884 651252035 984089891 548504232 984091378 548502489 999999925 652547606 999999979 652499609 999999410 227300763 999999909 227295569 999998292 624351403 999999476 624349214 999987223 133227609 999988419 133225442 999999975 944220641 999999982 943850395 993114850 710134654 993116090 710132564 999999710 3526751 999999947 3515816 984095422 548460481 984097461 548459210 999999930 780578601 999999951 780455194 999999882 35195111 999999997 35172577 999991385 133259049 999993400 133257763 983970200 554625316 983971606 554623473 999999994 132848903 999999995 130257647 999995689 78125754 999997071 78123879 977977414 715740500 977978378 715737812 999999435 777057701 999999752 777049527 999993357 19042741 999995338 19041433 999997840 30211478 999998840 30208887 999999894 4671407 999999965 4634915 999981420 9990168 999982629 9988025 999999435 721174121 999999752 721165948 999994156 230521457 999994326 230506217 999997260 78075596 999998169 78072746 984083093 548960201 984084202 548957865 978011545 715737235 978014820 715736444 992082179 719745698 992082956 719742364 999999998 81579764 999999999 78989255 992047975 719739905 992049828 719738507 983747275 548530625 983748888 548529019 999996307 657788630 999997674 657786735 999986975 133243126 999988870 133241759 999999948 128899007 999999959 128663518 984013319 548467113 984018225 548466585 999999410 228351486 999999909 228346295 978109783 715894320 978111947 715893123 993108444 710122347 993110137 710120817 999999999 684810696 1000000000 682220435 999999982 94545981 999999988 94114277 999995222 24957244 999997451 24956082 977353715 715077187 977355112 715075333 984092192 548475750 984093439 548473673 999995048 81506522 999996436 81504656 978021580 715817292 978022859 715815267 999999946 764776991 999999975 764687685 979521186 713839384 979522697 713837670 993367867 700633597 993369055 700631417 999993082 20165929 999994528 20164138 999999999 929721650 1000000000 927132007 999999948 146572784 999999959 146337371 999128641 81566499 999130471 81565084 999999789 713132361 999999932 713114253 978103895 715998819 978105051 715996579 999998169 91511569 999999746 91509927 999998292 624763745 999999476 624761558 999998292 623933113 999999476 623930926 999998292 623805848 999999476 623803661 999998292 623594118 999999476 623591931 999991034 80950629 999992319 80948614 999999730 5073332 999999894 5057544 983750171 548531692 983752175 548530400 978577385 715794986 978578201 715791813 999980583 135230275 999982229 135228702 999998060 59819917 999999365 59817933 999990784 64114214 999993016 64113054 999998060 60201534 999999365 60199550 999997419 4706019 999998820 4704171 984070253 554481222 984072185 554479882 984086191 548519560 984088103 548518206 993155197 710118333 993157637 710117272 999999410 230322406 999999909 230317218 999993479 18939753 999994848 18937862 999110830 81570877 999112481 81569309 993327280 700608717 993328544 700606669 977999589 715744317 978000047 715738665 978685766 715790333 978687358 715788707 984085061 554474107 984086101 554471618 999999605 25188918 999999895 25179992 999983140 133243856 999984644 133242135 998869089 196280119 998870745 196278556 999999435 734420873 999999752 734412708 999997099 9078246 999998991 9076878 999999730 6765308 999999894 6749526 999994070 625397419 999996307 625396262 999999994 218281462 999999995 215693270 999987654 133288298 999989053 133286448 978092176 716032237 978093262 716029854 999999955 230774449 999999976 230651220 999999329 727007344 999999435 726982931 984091805 548536813 984094071 548535671 999996307 651433214 999997674 651431321 977311941 715067450 977312955 715064898 999995958 24862085 999997674 24860577 999997771 5119664 999999215 5117872 983757488 548516688 983760613 548515860 999999975 925683278 999999982 925313636 993347206 700666127 993348672 700664362 999999045 196198467 999999639 196194111 999999789 718581284 999999932 718563190 999974184 78074063 999977043 78073158 999996865 30108888 999998256 30107028 999147716 4974232 999149312 4972611 992125434 719743210 992127369 719741873 999999329 775241290 999999435 775216884 999997274 29984189 999998840 29982537 999999999 645485129 1000000000 642898166 999999955 207301514 999999976 207178326 999999927 26389245 999999943 26227563 999999329 725542550 999999435 725518146 983977903 554678989 983979276 554677105 999981906 135224090 999983775 135222706 999992426 18986582 999994705 18985447 978106339 715927265 978108602 715926122 999997129 196189206 999999045 196187856 999997129 196027492 999999045 196026142 999999144 10312562 999999638 10307326 999999999 718813768 1000000000 716227213 999998060 63549753 999999365 63547771 999999923 205968588 999999955 205887760 999999837 28943915 999999983 28926200 993095979 710174095 993097538 710172436 999999410 227944661 999999909 227939478 999998169 91360853 999999746 91359213 999999822 12521925 999999980 12505557 984098562 548593930 984100533 548592618 992118300 719742383 992119608 719740406 999172262 4803747 999174001 4802260 978117861 716043370 978118708 716040317 999998292 623472189 999999476 623470005 999999829 15867608 999999899 15830668 999999435 776304656 999999752 776296499 978108554 715872605 978110560 715871316 999998840 30190517 999999605 30187137 999999948 132318394 999999959 132083332 992079347 719746996 992080955 719745388 999996072 24948955 999997640 24947306 999999991 185187070 999999992 182601459 999999144 10228389 999999638 10223155 999999975 786775228 999999982 786405875 999999435 735137346 999999752 735129190 999999943 21078270 999999956 20879391 999149966 91966663 999151797 91965251 999999598 24122976 999999829 24111784 999993770 625395052 999995736 625393737 999975644 133250463 999977739 133249229 999998060 63198555 999999365 63196574 984036439 548458726 984037431 548456120 978022561 715825697 978023250 715821945 983750000 548532563 983752968 548531692 999999144 8752145 999999638 8746912 984072053 548558342 984073637 548556710 999150233 4970376 999152667 4969314 999999899 17667801 999999943 17609055 999999435 771803305 999999752 771795151 999976735 80972131 999979934 80971323 999999455 5615300 999999607 5598295 999999989 747183141 999999990 744598388 999999605 30558809 999999855 30548470 978026429 715738874 978028574 715737669 983834103 548524693 983835560 548522919 993150896 710127997 993153440 710126981 999999923 225493965 999999955 225413193 999999946 770161782 999999975 770072656 983772153 548553384 983773910 548551913 999994598 30165542 999996479 30164168 999999980 773770963 999999981 771186548 999999822 14261695 999999980 14245338 998995229 4959230 998996319 4956859 999999329 724404320 999999435 724379939 999976184 135222942 999976958 135219603 999999476 628892221 999999484 628569210 984077686 548716744 984078978 548714744 999977359 30791744 999979577 30790579 999999930 780264383 999999951 780141338 999998060 56512794 999999365 56510814 978017185 715817292 978018461 715815267 999999991 104810792 999999992 102226947 999999410 227697921 999999909 227692743 983979997 554670910 983981244 554668838 999999999 676909497 1000000000 674325797 984070984 548729590 984073020 548728321 999999598 19029845 999999829 19018661 999168357 4840066 999169281 4837270 993333808 700622937 993335172 700621043 999999286 7177672 999999341 7130701 999994657 81144884 999997596 81144005 999992319 80949089 999994784 80948041 992106752 719879556 992109325 719878552 999991419 15678124 999991537 15656233 998747391 196292385 998749433 196291120 999999638 7367736 999999843 7355136 999999435 734890235 999999752 734882087 999993032 625406866 999995042 625405581 998948457 91965285 998950334 91963909 999999789 716373854 999999932 716355793 999997287 4446225 999999286 4444933 999997287 4381421 999999286 4380129 999999841 644889104 999999884 644829043 999999435 732126183 999999752 732118036 999998060 56431492 999999365 56429513 998996152 4965114 998997762 4963510 998754390 196262572 998756090 196261053 984076249 548454957 984077686 548453160 999996307 657993299 999997674 657991410 999996307 657881420 999997674 657879531 999996307 657385165 999997674 657383276 999996307 650413158 999997674 650411269 999999946 749687870 999999975 749598828 999991419 23221170 999991537 23199287 983651060 548920217 983652727 548918668 999999638 9712866 999999843 9700270 999999598 17751352 999999829 17740174 999999946 734679536 999999975 734590499 992140878 719887893 992143200 719886781 993352300 700612948 993353035 700609435 999155007 4969529 999156568 4967875 998758899 196283808 998760581 196282273 999987894 133280178 999989564 133278632 999993780 625339943 999995340 625338288 999999978 729395486 999999980 728104623 992106936 719883731 992108470 719882048 999999144 8164351 999999638 8159125 999983066 133267808 999984135 133265393 999999329 734869467 999999435 734845112 999994156 226897700 999994326 226882514 993240007 700615414 993241834 700614001 999999997 689510949 999999998 686929420 999999314 25357538 999999605 25348667 999153548 81569413 999155936 81568332 999994367 80995966 999995055 80992214 999999329 729913803 999999435 729889451 999999286 5335892 999999455 5320618 999998060 62655702 999999365 62653724 999981420 10321320 999982629 10319185 984046593 548457488 984047313 548453903 999999598 17929894 999999829 17918720 999998292 624069996 999999476 624067816 999999955 207770093 999999976 207647184 983745794 548488187 983747175 548486318 999999999 163756125 1000000000 161175062 979501411 713845436 979502395 713842813 999999923 206187095 999999955 206106439 999977432 30761935 999978952 30760237 999996307 658014010 999997674 658012122 999996307 657981141 999997674 657979253 999996307 650720422 999997674 650718534 999990808 15691753 999991419 15687529 993127655 710129780 993129073 710127960 999999884 658058615 999999925 657995670 999999882 31268343 999999997 31245902 999993032 625108020 999996307 625107232 999999435 732947140 999999752 732938999 999999144 9096392 999999638 9091168 984075012 548723803 984079469 548723224 977351230 715061059 977352041 715057877 984075563 548589373 984076883 548587418 999999314 25236417 999999605 25227549 978578627 715777796 978581087 715776747 999170505 4815813 999171937 4814011 999048622 91963952 999050688 91962703 984055336 554483140 984057574 554481987 999999329 729402368 999999435 729378025 999999948 112153847 999999959 111919274 999999144 10511640 999999605 10506043 983833250 548552927 983834831 548551295 984092491 548729590 984095162 548728624 984064698 548467113 984065664 548464442 992120031 719848469 992122493 719847421 999150918 4960458 999152825 4959105 999993647 624851124 999995067 624849307 999981389 135217272 999982636 135215203 999999944 636133090 999999971 636037533 999981420 10733106 999982629 10730972 999974725 80999851 999975821 80997497 999998292 624264101 999999476 624261922 984092629 548961057 984095275 548960082 999999598 17510335 999999829 17499167 978113978 715939289 978116155 715938104 978606228 715744811 978607390 715742591 999995157 133237989 999996399 133235912 983979388 554685665 983981416 554684393 998848682 196270995 998850857 196269809 999996307 657141277 999997674 657139390 999996307 650715718 999997674 650713831 978109505 716031494 978111075 716029851 999982006 134187937 999983075 134185524 992113975 719870733 992118018 719870095 993357973 700678867 993360820 700677961 999972642 81137326 999973975 81135391 999999598 22282929 999999829 22271763 999999410 228975351 999999909 228970182 999975309 133241564 999977266 133240246 977348360 715080643 977349452 715078281 999999144 10273428 999999638 10268207 993349943 700626796 993351508 700625148 999989053 133288576 999990220 133286366 999999982 82911509 999999988 82481677 978103895 715985445 978105483 715983821 999999410 229206371 999999909 229201203 984077989 548562545 984079657 548560999 999978130 81137581 999979889 81136115 999999144 7661134 999999638 7655914 999998060 63602231 999999365 63600255 999998060 60021526 999999365 60019550 978027978 715827845 978030397 715826779 999999969 682857215 999999993 682749777 999999717 13739855 999999822 13715298 977959153 715772839 977961201 715771580 999999997 41360248 1000000000 40500784 999999975 874425689 999999982 874057365 999999994 231305515 999999995 228727296 999999975 973536511 999999982 973168195 999996307 658032861 999997674 658030975 999996307 656710091 999997674 656708205 999983975 30798773 999985140 30796560 978096931 716048753 978098452 716047058 992141847 719883106 992144178 719882000 999999367 24753918 999999638 24744405 999999542 27706306 999999837 27697567 984098296 548713546 984099733 548711752 999999822 13211427 999999980 13195111 999999979 642595855 999999997 642452638 999999588 6993431 999999891 6984924 999999882 32093332 999999997 32070918 983645279 548926882 983647445 548925692 999999435 773379050 999999752 773370919 999994310 10923016 999995704 10921167 999998132 24859002 999999367 24856915 999993032 625053696 999996307 625052909 993105159 710125920 993106466 710123948 999999930 784144488 999999951 784021755 999985805 30807987 999987426 30806397 999999975 858649231 999999982 858281033 999998060 63740821 999999365 63738846 999993691 625385604 999995666 625384299 999999837 27380808 999999983 27363155 998741439 196277896 998743393 196276577 993163904 710127011 993165317 710125187 983977294 554620957 983980120 554620045 984099867 548502124 984102826 548501253 999999638 7226428 999999843 7213856 993225592 700612308 993227494 700610953 999974495 78131367 999976404 78130017 999999710 4123975 999999947 4113101 999999894 6280398 999999965 6244101 999999841 644716645 999999884 644656715 999999997 703807856 999999998 701230920 999999923 218851767 999999955 218771238 978116069 716028868 978118376 716027751 993104436 710123744 993105929 710122018 999998169 195918003 999999746 195916369 999998169 91477942 999999746 91476308 978588279 715738067 978589646 715736182 999996307 657516434 999997674 657514549 999996307 657457216 999997674 657455331 999996307 656840114 999997674 656838229 998932719 91965298 998934295 91963663 999999974 906366602 999999975 903789862 999991537 16354080 999993663 16352868 999990808 16190852 999991419 16186635 999999899 16386695 999999943 16328138 999999936 9988787 999999965 9899946 999981420 10860272 999982629 10858141 999999410 228587394 999999909 228582231 998953091 91966663 998954966 91965289 999994288 625032986 999996307 625031710 999999882 35883838 999999997 35861436 999999144 8205184 999999638 8199969 999999975 793540086 999999982 793172065 999999588 7029452 999999891 7020950 999998060 59921640 999999365 59919666 999998060 56242258 999999365 56240284 977353715 715075333 977355112 715073489 992135112 719887420 992137112 719886132 999999919 197800500 999999923 197156507 999999435 735287713 999999752 735279587 992124253 719889593 992126466 719888429 999105079 81584202 999107143 81582954 978020699 715827073 978022571 715825697 978105748 716016865 978107455 716015356 999999975 983502471 999999982 983134499 999987539 30796560 999989217 30795025 999999789 719151667 999999932 719133655 999999843 7233356 999999936 7205661 999999435 733489744 999999752 733481619 999993738 624879033 999995298 624877382 978117983 715877701 978119210 715875602 999996307 651583210 999997674 651581326 999027804 91965190 999029072 91963159 993198210 700611109 993198593 700604385 998740909 196281202 998741439 196276343 999998169 195843007 999999746 195841374 999998169 195417428 999999746 195415795 999998169 91455306 999999746 91453673 999998292 624552654 999999476 624550479 999999841 641414027 999999884 641354139 984068633 548574500 984069726 548572144 999999948 178559359 999999959 178325266 999999991 121014522 999999992 118439561 992139669 719746222 992141209 719744550 999998060 63092703 999999365 63090730 984058684 554473907 984060482 554472475 993355731 700600963 993357171 700599175 999983063 78120149 999984382 78118197 999999884 643951628 999999925 643888834 984089834 548461676 984090878 548459210 999999991 177073478 999999992 174498978 999999789 713114253 999999932 713096250 993237357 700610952 993239788 700609893 999999435 774693158 999999752 774685037 999999410 229172727 999999909 229167568 999997478 30170288 999998840 30168398 984082200 548853393 984083708 548851686 999993032 625360073 999996307 625359287 999999982 145528942 999999988 145099925 999155266 4975171 999156852 4973548 978013086 715839104 978015189 715837880 999999435 732482414 999999752 732474294 999999829 20451736 999999899 20414964 999995610 9064405 999999136 9063675 999999286 6799274 999999455 6784044 993126552 710124860 993128538 710123564 999999987 10022174 999999992 9507415 999999144 7793248 999999638 7788038 999999435 734616441 999999752 734608322 999999837 27719081 999999983 27701453 999998169 91460456 999999746 91458824 977982231 715745369 977984401 715744183 999999960 991813 999999965 477089 999999997 50036762 1000000000 49178894 992114441 719849535 992116376 719848205 999993032 625034724 999994288 625032675 978587261 715747776 978588572 715745813 999998060 63965871 999999365 63963899 999998060 62765733 999999365 62763761 978630783 715744392 978633267 715743356 999999923 222440459 999999955 222360042 993355192 700617767 993356732 700616096 992061189 719741504 992062679 719739777 977334006 715065500 977335342 715063574 999999435 732789622 999999752 732781505 984094551 548463137 984096737 548461960 999979808 80963781 999982128 80962672 999973957 133290153 999975423 133288398 999999435 775272271 999999752 775264155 999981420 10798534 999982629 10796406 999999969 679011075 999999993 678903878 999982851 133237989 999985846 133237130 999999542 27275548 999999837 27266827 999998840 30131525 999999605 30128162 999994534 625225692 999996307 625224241 999999998 813323309 999999999 810750759 993368375 700660013 993369492 700657710 999999598 19420789 999999829 19409653 993110240 710118127 993113024 710117203 999999410 230741993 999999909 230736838 978108147 716022058 978109597 716020284 999993032 625220800 999994524 625219076 999998060 63331886 999999365 63329915 999999975 797728121 999999982 797360676 999998169 195691550 999999746 195689919 999998169 195316236 999999746 195314605 999998169 195281904 999999746 195280273 984071588 548717761 984072747 548715542 999999598 20423706 999999829 20412573 999990808 16097064 999991419 16092855 977318825 715059000 977321115 715057877 993102394 710116417 993104435 710115157 983764567 548548911 983765827 548546870 999998292 624544547 999999476 624542375 999999989 70545475 999999990 67973890 999981420 9908585 999982629 9906458 999999923 220766905 999999955 220686545 999999435 733210911 999999752 733202799 999999598 24013419 999999829 24002287 999994505 19023614 999995338 19020527 999972899 81159060 999973650 81155636 999999976 229830646 999999984 229509222 999978954 135211390 999979831 135208458 999999410 227965308 999999909 227960155 999999955 212840354 999999976 212717910 999994845 133260868 999996761 133259526 999999329 720289125 999999435 720264868 999999998 982892004 999999999 980320795 993094071 710161381 993094914 710158331 983972338 554604342 983973682 554602429 983647076 548934302 983648923 548932910 977335342 715058795 977339214 715058131 993133383 710117039 993134829 710115261 992117133 719862918 992118414 719860911 999998060 62741640 999999365 62739670 999998060 62673542 999999365 62671572 984100837 548452651 984102317 548450914 993369026 700654192 993370163 700651931 984053536 554483140 984054009 554477705 993101871 710132479 993103340 710130729 999999710 415944 999999947 405097 999998169 91312547 999999746 91310917 992072104 719744386 992073681 719742756 999990808 23936314 999991419 23932107 999981420 10001162 999982629 9999036 999999435 720763830 999999752 720755722 993122110 710116816 993123397 710114819 999999994 144625268 999999995 142055148 993107060 710124712 993108444 710122855 999994156 225549122 999994326 225534004 999155598 81576293 999157050 81574523 984081597 548592639 984083412 548591223 999991537 19035314 999992751 19033197 993325961 700618098 993327357 700616257 999996307 656797109 999997674 656795229 983764673 548552309 983765827 548550082 999976463 78109948 999978361 78108594 993136344 710114052 993137636 710112063 984066214 548697116 984069041 548696207 999999789 718377201 999999932 718359231 999999925 641405775 999999979 641358189 999117056 81560091 999118872 81558676 999999884 651235701 999999925 651173027 984097173 548708430 984098581 548706605 998867980 196280206 998869089 196277889 999998060 56111372 999999365 56109403 999014733 4968524 999016599 4967147 999999930 808265310 999999951 808142958 999999971 620583988 999999983 620369875 999999410 229884495 999999909 229879346 999999435 735033961 999999752 735025856 999998292 624269530 999999476 624267360 999998292 623822416 999999476 623820246 999990808 16489801 999991419 16485596 999999598 22077434 999999829 22066312 999993095 20127493 999994677 20125869 977994182 715744721 977995395 715742603 999981420 10097908 999982629 10095783 993363891 700600162 993365241 700598259 999999841 649425771 999999884 649366026 978495181 716048769 978496686 716047062 998992304 4973129 998993993 4971608 978007406 715740898 978009952 715739889 999999931 632785805 999999944 632588197 999996213 24676884 999997637 24675080 999999975 926347559 999999982 925980579 999999944 625124089 999999971 625028947 983771958 548514940 983773910 548513624 999996307 656668296 999997674 656666417 999996307 650859981 999997674 650858102 984095723 548568547 984097455 548567064 999999341 7058023 999999588 7047624 999999978 723501688 999999980 722217429 999999948 111210401 999999959 110976902 999971889 133293791 999973291 133291959 983761950 548530456 983762908 548527775 999999410 229145418 999999909 229140271 999999435 733497846 999999752 733489744 999999329 727078235 999999435 727054006 999104694 81570254 999106145 81568484 999998060 63554109 999999365 63552141 999999144 10664221 999999605 10658650 983977601 554580527 983978887 554578530 999998292 623585226 999999476 623583057 999999882 32936715 999999997 32914385 999999993 954805718 999999996 953949736 999991541 133227609 999992520 133224986 993338970 700614356 993340149 700612178 999986169 81539273 999987157 81536674 999999946 721526543 999999975 721437999 999999996 764232765 999999997 761665077 999999710 1160637 999999947 1149803 999016983 4956039 999018432 4954267 999996921 30140548 999998840 30139210 999993032 624845864 999996307 624845080 999999982 130187765 999999988 129759833 999999789 719057743 999999932 719039788 999997129 196122505 999999045 196121165 999991062 135223887 999992712 135222331 999995795 30142924 999997638 30141531 983771571 548504454 983773788 548503296 984094617 548829138 984096661 548827882 993113465 710135632 993116090 710134654 999996307 650991707 999997674 650989829 992101660 719747265 992103027 719745387 984100593 548487990 984102096 548486282 999998060 62624904 999999365 62622937 999998060 56486936 999999365 56484969 999994156 222192933 999994326 222177834 999981856 134195482 999983832 134194183 999999435 775716107 999999752 775708010 984090872 548849863 984093038 548848678 999981420 10995350 999982629 10993227 999024909 4944969 999026158 4942914 999999979 644293123 999999997 644150531 999999730 5557814 999999894 5542164 993121569 710113758 993123397 710112354 999991419 21344620 999991537 21322870 999143667 81574097 999145975 81572985 999999598 24029986 999999829 24018876 999999588 7127141 999999891 7118671 999999969 718296021 999999993 718189089 999994691 10958200 999996819 10956994 999999841 648641710 999999884 648582028 999144110 4960356 999145102 4957769 999999992 115055013 999999993 112488751 999990808 23551692 999991419 23547492 999982324 134199971 999983689 134198091 999999605 10724475 999999836 10713366 999999829 21152525 999999899 21115866 999999983 737267479 999999985 735984430 999996713 9040673 999998426 9039175 999999710 2252750 999999947 2241923 999978771 133236853 999979693 133234070 999999149 25815036 999999314 25799485 998832145 196279958 998834003 196278577 999999948 113610442 999999959 113377179 983642563 548914327 983643796 548912246 977359319 715067378 977361400 715066145 978115204 716009268 978117126 716007933 999996307 651121815 999997674 651119938 992136596 719848333 992138345 719846866 999999286 5406083 999999455 5390901 999999329 730514930 999999435 730490725 999998060 63667360 999999365 63665394 999999925 642911886 999999979 642864375 999990808 16422615 999991419 16418416 999981420 10091218 999982629 10089096 999981420 10040148 999982629 10038026 999983380 30772796 999985231 30771410 999007658 91966663 999008672 91964133 999999969 709747962 999999993 709641071 999991058 135257273 999992712 135255722 999999925 648612557 999999979 648565053 984028165 548454287 984029013 548451262 999999314 25620972 999999605 25612157 999999435 773691459 999999752 773683367 999999435 734337727 999999752 734329635 983643997 548956707 983645126 548954435 999999841 647043110 999999884 646983458 992120211 719841482 992122493 719840358 999999829 15579293 999999899 15542651 999999990 179274458 999999991 176709536 999999410 227683889 999999909 227678749 983649957 548947608 983651443 548945882 983757488 548525373 983758888 548523541 999999923 230924206 999999955 230844056 977340711 715079338 977342307 715077731 999999988 167490280 999999989 164925520 999999882 34197518 999999997 34175216 999981347 30752888 999982541 30750740 999999992 174934430 999999993 172369739 999993513 30058645 999994981 30056898 999997059 9076456 999999144 9075226 992128680 719856306 992130298 719854721 993361877 700619183 993364887 700618331 999990938 78124111 999992642 78122606 984066563 548590212 984067853 548588224 999999997 701230920 999999998 698666406 999999983 754902437 999999985 753620190 993370062 700611198 993371803 700609725 983749529 548501248 983750855 548499314 999999946 736575041 999999975 736486611 999994156 222109806 999994326 222094721 999994709 133273886 999995929 133271784 999999948 84295987 999999959 84062862 984043442 548462834 984045275 548461435 999996906 24695012 999999367 24693970 999999410 227483084 999999909 227477945 999998060 63396739 999999365 63394774 999981420 10496241 999982629 10494120 999981420 10076255 999982629 10074134 999981420 9879923 999982629 9877802 999999975 822202651 999999982 821836326 999998169 195695319 999999746 195693693 999971889 133221330 999973836 133220013 983771076 548527309 983772652 548525682 999993513 30071294 999996279 30070367 978117015 715923861 978119618 715922876 978028745 715810020 978030397 715808468 999999435 775000798 999999752 774992710 984084700 548448420 984087170 548447382 999999923 228666557 999999955 228586440 977957699 715798947 977958820 715796660 978117141 716049504 978118635 716047788 999999970 21471560 999999978 21151112 999991537 20115075 999993206 20113539 999999983 27580373 999999996 27383176 999988795 30797880 999990737 30796560 999993513 29993700 999996153 29992729 999999979 650169993 999999997 650027580 993132631 710129976 993133704 710127587 993352528 700632773 993353776 700630719 978110746 716052754 978112642 716051402 999993471 18897199 999994881 18895381 999999144 8396975 999999638 8391786 999998292 624609203 999999476 624607038 999998292 623994288 999999476 623992123 993369802 700677896 993371172 700676025 999993414 11043349 999994738 11041413 999999435 773026215 999999752 773018129 999973226 78101988 999974516 78100001 999999923 215847305 999999955 215767205 999996307 657952569 999997674 657950694 999999638 7543052 999999843 7530549 983648140 548926882 983650212 548925645 999998060 63929640 999999365 63927676 999998060 60434931 999999365 60432967 999998060 59941751 999999365 59939787 984076573 548558133 984077917 548556226 999999930 780043649 999999951 779921602 999999829 20020140 999999899 19983526 979510857 713841095 979513483 713840119 999999329 725567290 999999435 725543111 978021521 715855867 978023400 715854503 999999410 227366695 999999909 227361559 993366955 700598995 993368111 700596778 999994090 625025931 999996307 625024775 984086191 548509380 984087530 548507466 984072195 548961057 984073527 548959133 999999286 5301989 999999455 5286825 999999997 136076806 999999998 133514120 999998169 195865135 999999746 195863510 999998169 195344486 999999746 195342861 999980956 133240865 999982710 133239404 999022304 4952458 999023562 4950421 999990808 24443369 999991419 24439175 978109649 715952439 978110413 715949085 999988870 133244176 999990423 133242526 999133288 81567223 999134827 81565558 999999996 704115109 999999997 701552719 999999542 26963232 999999837 26954546 999975644 133251686 999977739 133250463 999150052 4966464 999152394 4965370 999999435 721519359 999999752 721511277 999998840 30493499 999999605 30490150 999981420 10638123 999982629 10636004 999999598 18433259 999999829 18422169 984070235 548587655 984072048 548586242 999971889 78074063 999973090 78071930 999998060 63755646 999999365 63753683 999998060 60348627 999999365 60346664 999015466 4954267 999017429 4952962 998864885 196255711 998866263 196253852 993141869 710120986 993143180 710119032 978026455 715825802 978027978 715824120 999999435 777729268 999999752 777721187 999999435 774248822 999999752 774240741 999992131 81141250 999993966 81139854 999996228 10966240 999997761 10964569 999999996 761665077 999999997 759103459 999999410 230412530 999999909 230407397 978010747 715843541 978013329 715842549 999991537 20336430 999994294 20335501 983648064 548941556 983651335 548940773 999999822 14137741 999999980 14121531 999979208 78113571 999981437 78112422 983765827 548548295 983768805 548547435 999994156 225966770 999994326 225951705 999998169 195710661 999999746 195709037 999998169 90988325 999999746 90986701 999999969 712942419 999999993 712835710 999999605 26213130 999999895 26204299 993351573 700683638 993352887 700681689 984080673 548831250 984083119 548830203 993098184 710136180 993099157 710133548 992084977 719742364 992086604 719740790 999999144 9320709 999999638 9315525 999999717 13676072 999999822 13651683 999991419 17000889 999991537 16979187 999999909 200028677 999999919 199772598 999995562 24648220 999999367 24647547 999981420 10450520 999982629 10448402 999999598 15902465 999999829 15891380 984094476 548558246 984096497 548556979 999999822 12417895 999999980 12401689 999999717 15270890 999999822 15246504 999993513 30080744 999995610 30079523 999998060 56039133 999999365 56037171 999999969 685120845 999999993 685014162 993149113 710126305 993150896 710124869 999999314 25691513 999999605 25682715 999999843 9895329 999999936 9867800 999999605 25312272 999999895 25303444 999999925 651051157 999999979 651003749 999189213 4827756 999190817 4826160 999999605 10379473 999999836 10368391 993367782 700593973 993369260 700592241 999994156 222873401 999994326 222858343 999999455 5860851 999999607 5844010 999998292 624742450 999999476 624740288 978105192 715906020 978106463 715904006 998859127 91965294 998860431 91963331 999032526 91964530 999033927 91962703 999990808 15421079 999991419 15416890 999998169 91317729 999999746 91316106 999999410 230379936 999999909 230374807 999999410 229159571 999999909 229154442 984073466 548823025 984074498 548820545 999150167 81561626 999152027 81560250 999999971 627986901 999999983 627773623 999995045 625264463 999996226 625262296 999999999 979577097 1000000000 977017877 999992564 135233493 999993456 135230624 999999710 2067992 999999947 2057194 999999996 948914277 999999997 946355199 993146020 710121244 993147369 710119347 999996307 658079936 999997674 658078064 999996307 657051693 999997674 657049821 999996307 650973260 999997674 650971388 999982077 81141348 999983918 81139958 999993837 625192533 999996307 625191497 999999943 23636341 999999970 23541568 999990808 24169762 999991419 24165574 978486334 716061025 978487653 716059085 999999925 649318305 999999979 649270919 999999329 777627164 999999435 777603024 999998292 624827847 999999476 624825686 999999841 647833339 999999884 647773837 999994014 624810530 999995426 624808718 999999884 645123821 999999925 645061418 977364040 715082286 977366821 715081366 999999976 199781520 999999984 199461710 999993513 30157575 999996261 30156644 999999410 227648695 999999909 227643568 978013024 715869140 978014514 715867423 999183295 4827173 999184305 4824640 983768848 548497670 983770407 548496029 978114445 715961801 978116386 715960483 999011979 4957935 999013380 4956109 999999329 724067223 999999435 724043089 999975379 133271493 999976253 133268566 999999144 10377883 999999605 10372334 999982712 80981359 999985132 80980302 978503895 716049236 978505516 716047658 999998169 195304582 999999746 195302960 999999997 990116479 999999998 987558618 999997129 196143508 999999045 196142173 999997129 196106996 999999045 196105661 992098846 719747543 992100132 719745554 978100517 716060660 978102344 716059260 999994507 624947086 999996307 624945665 984087495 548580270 984090395 548579388 999996307 657753377 999997674 657751506 999996307 650390058 999997674 650388187 983756963 548547940 983758905 548546623 999990808 78127606 999993950 78126792 999999841 652723682 999999884 652664206 999999789 715452628 999999932 715434744 999998840 30197733 999999605 30194390 999999816 24694172 999999966 24677123 984080476 548824858 984082393 548823524 999999919 221347296 999999923 220708006 999999969 682344109 999999993 682237564 999981420 10394759 999982629 10392644 999981420 10368449 999982629 10366334 984066354 548455995 984068597 548454855 984088892 548838799 984091302 548837738 999999598 22971726 999999829 22960657 999993700 20273926 999995338 20272365 984067425 548587655 984068665 548585593 999993555 20290336 999995338 20288902 999999923 231305515 999999955 231225615 999983568 78106427 999986003 78105377 999997287 5083862 999999286 5082583 999997287 5010812 999999286 5009533 999997287 4344039 999999286 4342760 999999605 11070175 999999836 11059107 999999789 719300162 999999932 719282283 999999944 637401064 999999971 637306374 999999988 182195089 999999989 179638493 984095437 548538467 984102826 548538121 999991419 20446269 999991537 20424603 999999946 739025425 999999975 738937268 999998060 56342316 999999365 56340357 999999598 18277344 999999829 18266277 999984382 78124596 999985937 78122952 999998169 195705019 999999746 195703398 999998169 90919105 999999746 90917484 999998169 90757260 999999746 90755639 999972938 81145017 999974512 81143393 999999925 641904404 999999979 641857068 993353345 700644637 993354871 700642962 999999930 782808613 999999951 782686900 999994156 221273256 999994326 221258221 998751640 196267870 998753556 196266536 999997129 196194841 999999045 196193507 999999930 779184099 999999951 779062389 999999955 196624245 999999976 196502536 984094679 548838989 984095484 548835814 983977794 554613383 983979908 554612174 999981564 80970310 999983453 80968957 999999982 75152023 999999988 74726054 999997868 24875667 999999367 24873962 999999829 18009187 999999899 17972676 999997081 133271784 999998022 133269068 999993032 624974863 999995466 624973813 999999149 26469455 999999314 26453966 998994681 4972741 998997167 4971713 999999997 78014709 999999998 75459141 999999314 25280633 999999605 25271851 978099253 716034866 978100499 716032815 999999923 204117358 999999955 204037498 993352889 700591316 993354356 700589574 999137398 81562598 999138931 81560931 999982171 135262037 999984071 135260692 999999144 9425646 999999638 9420473 999999286 5169974 999999455 5154853 999979607 134201020 999980692 134198665 983832653 548490175 983835255 548489193 999066715 91966663 999068730 91965395 993158716 710124026 993160433 710122538 999999982 95218597 999999988 94792806 999998169 195808199 999999746 195806579 999997287 4626456 999999286 4625178 999999329 729844173 999999435 729820072 999981420 10472467 999982629 10470354 999999895 25728701 999999927 25648870 999994249 11078602 999996205 11077296 999994156 223469761 999994326 223454735 999999410 230662678 999999909 230657559 999986646 133262512 999987460 133259374 993350565 700684547 993353375 700683638 983638982 548946941 983642823 548946276 999999930 779526852 999999951 779405223 999991537 20073547 999992637 20071225 983637783 548926882 983641653 548926222 999999971 623999640 999999983 623786794 999999789 715971586 999999932 715953725 999991419 21554579 999991537 21532935 984071440 548725577 984073231 548724151 999986337 78072277 999987296 78069614 999999314 26509157 999999605 26500381 984085417 548833513 984087053 548831952 978111569 715982945 978115111 715982224 999999435 771597681 999999752 771589625 984077045 548585593 984078170 548583323 999996307 650488994 999997674 650487126 999987154 78133794 999989298 78132603 999999925 653204824 999999979 653157538 999999987 20236486 999999988 17683048 999981420 10526649 999982629 10524537 984085924 548729590 984087640 548728102 992112087 719743008 992116696 719742454 999999410 230228360 999999909 230223243 999990385 80984116 999991940 80982474 999999997 98202619 999999998 95649336 978117612 715913371 978118946 715911457 999999329 775101595 999999435 775077508 999999955 202428386 999999976 202306805 999999435 721527413 999999752 721519359 999999946 742967117 999999975 742879079 999971889 135245733 999973992 135244519 978107656 715968182 978109494 715966793 999999982 155503307 999999988 155077823 999999410 230977890 999999909 230972774 983760095 548538926 983762805 548537984 999998840 30688780 999999605 30685443 999999975 922379326 999999982 922014642 999990808 23566085 999991419 23561907 992112475 719751939 992113506 719749463 999994156 221340365 999994326 221325349 999994402 624898218 999996307 624896878 999999925 645576183 999999979 645528911 999993032 624789233 999994051 624786728 999998060 63326662 999999365 63324706 998859660 196262329 998862131 196261296 999999144 7413994 999999638 7408827 999999955 230651220 999999976 230529674 977352716 715082543 977353715 715079988 984065664 548460520 984066505 548457485 999999993 900726712 999999996 899875912 999999410 229846330 999999909 229841215 978025652 715848635 978027399 715847174 984003751 548448578 984005885 548447382 999981420 10505361 999982629 10503250 998905271 1430 998907057 1 999999969 715723689 999999993 715617349 999990808 16587821 999991419 16583644 999999789 715935900 999999932 715918053 999998840 30641500 999999605 30638164 999998840 30028856 999999605 30025520 977957699 715741254 977959149 715739494 984099949 548859615 984101098 548857394 999994019 30086762 999995699 30085243 999999841 642277806 999999884 642218460 984040397 548459683 984041758 548457808 999995795 24787227 999997897 24786013 999999969 666426639 999999993 666320313 993123778 710120919 993125688 710119583 999995866 78092302 999998169 78091194 999999946 730871845 999999975 730783860 992120031 719847421 992121161 719845163 999990808 23740524 999991419 23736348 999999435 776542097 999999752 776534048 999994156 221096114 999994326 221081105 999989376 80966143 999991293 80964812 999997644 11050077 999999144 11048376 999112074 81575101 999113505 81573318 999999598 24365666 999999829 24354621 999998060 63649290 999999365 63647335 999998060 56104332 999999365 56102377 984078324 554474107 984079349 554471618 999995428 135224847 999996442 135222331 978103895 715959081 978105716 715957680 999999975 980318822 999999982 979954364 978687719 715751850 978689630 715750515 999999542 29091202 999999837 29082554 999999978 742332690 999999980 741057128 983970529 554629438 983972346 554628034 978112629 716017019 978114163 716015356 999999144 8688885 999999638 8683721 984096238 548857755 984097351 548855463 999981420 10290545 999982629 10288435 999989423 30748696 999991454 30747440 999999598 16471553 999999829 16460510 999971889 133276937 999973787 133275593 999996307 650259063 999997674 650257197 978480270 716058649 978483278 716057801 999997287 4603128 999999286 4601852 999999969 707280213 999999993 707173937 977335833 715082440 977336923 715080100 999988541 135195925 999990847 135194819 999999638 7664015 999999843 7651574 999994314 24688013 999995643 24686094 999999435 777109040 999999752 777100995 999999894 5927949 999999965 5892030 999999882 32808734 999999997 32786558 984088140 548512423 984091820 548511730 999996587 24671513 999997727 24669276 999999329 776925245 999999435 776901187 999997312 10894491 999999144 10893099 999972899 81154409 999973653 81151027 999994112 625240228 999995665 625238586 999999605 10635612 999999836 10624573 999999789 715190214 999999932 715172382 978111377 715911496 978112348 715908870 984010140 548455111 984011639 548453410 999999967 5839945 999999977 5584967 999999149 26443936 999999314 26428483 999990808 24010803 999991419 24006630 993365537 700655200 993367394 700653827 978025382 715815267 978025757 715808468 984101152 548590539 984102826 548589016 999996307 657255145 999997674 657253280 978627477 715741383 978628574 715739059 999999969 708261943 999999993 708155717 999984186 135234439 999986489 135233332 978110000 716007815 978111685 716006302 999999789 714222986 999999932 714205158 999999993 968916775 999999996 968066982 984039620 548461838 984040803 548459683 977308724 715069922 977310373 715068376 993356009 700604953 993359919 700604301 999999435 774886799 999999752 774878757 992119859 719887538 992121022 719885346 978112040 715912449 978114715 715911496 978113547 715886052 978114555 715883523 999985478 78112985 999987154 78111464 999997537 24830265 999999367 24828872 999986949 26681881 999988493 26680230 999999435 720006844 999999752 719998803 999999789 715953725 999999932 715935900 999999710 810816 999999947 800061 998757185 196265562 998758625 196263792 999992559 81527511 999994447 81526161 978025757 715812003 978026478 715808468 993351865 700594141 993353236 700592282 999998060 63934849 999999365 63932896 999976912 135217496 999978853 135216183 999990808 15859094 999991419 15854923 999990808 15669720 999991419 15665549 999999899 20219039 999999943 20161120 978615418 715737564 978617262 715736182 999999410 230766752 999999909 230761645 999993247 16277640 999995095 16276261 999039274 91965576 999040662 91963740 999985770 133293310 999986652 133290421 999991419 18765336 999991537 18743742 999999997 118708680 999999998 116160609 999998292 624550476 999999476 624548324 999994156 223667484 999994326 223652496 993149113 710121545 993150896 710120116 998873422 91964321 998875364 91963009 999990808 24138343 999991419 24134173 999993566 625058079 999994902 625056172 999999435 721008324 999999752 721000287 999995647 80984116 999996152 80979071 999999975 812755170 999999982 812391213 984101469 548464465 984102673 548462349 977348055 715067896 977349505 715066139 999999895 25477309 999999927 25397696 999999882 37634274 999999997 37612121 993096662 710114610 993098479 710113208 983973468 554682286 983974813 554680392 984099241 548523158 984101121 548521803 999998060 56522646 999999365 56520694 999999882 34996935 999999997 34974785 984076764 548837492 984077749 548834906 984089402 554474846 984090837 554473071 999999314 25662391 999999605 25653638 999999975 818501613 999999982 818137739 999999435 775434919 999999752 775426884 999999930 778462903 999999951 778341613 999999710 3879705 999999947 3868958 999999789 717708760 999999932 717690949 999999410 227361559 999999909 227356455 993119069 710129392 993124754 710128944 999998169 195320011 999999746 195318396 999998169 91492507 999999746 91490892 999998169 90962308 999999746 90960693 984080154 548961057 984081588 548959281 999999946 761106861 999999975 761019041 999999435 735102916 999999752 735094882 999997287 4572567 999999286 4571293 998888608 2040 998889857 1 999999829 15966806 999999899 15930425 993328079 700601015 993329124 700598578 999999894 4857476 999999965 4821609 999999598 20555779 999999829 20544755 999999314 26393902 999999605 26385151 999975775 80996426 999977611 80995039 999999435 735021012 999999752 735012979 999999997 754277059 999999998 751730641 978688048 715745525 978689545 715743824 993091922 710127307 993093902 710126021 999994156 223511345 999994326 223496367 978110225 715939429 978111303 715937067 999999329 729132734 999999435 729108713 999996785 24642173 999998297 24640489 999981420 10100014 999982629 10097908 999994681 30014586 999996522 30013203 998855473 196273413 998856700 196271338 993164095 710119032 993165770 710117512 999998840 30587580 999999605 30584252 984093342 548954518 984095275 548953201 999994156 226646649 999994326 226631674 999995288 24767697 999997774 24766673 999177965 4809600 999179773 4808192 984094198 548713787 984095528 548711873 999999730 6734994 999999894 6719472 977313977 715058880 977316796 715057977 999999638 10163154 999999843 10150737 984099051 548551058 984100659 548549475 983655636 548898298 983657040 548896485 999997287 4728240 999998717 4726460 999999410 230372267 999999909 230367166 999980656 80992214 999981730 80989844 999996307 657933761 999997674 657931899 999998169 195467640 999999746 195466026 999999822 15305461 999999980 15289352 992058546 719742123 992061189 719741160 999999948 119103749 999999959 118872374 999995856 30017053 999996891 30014594 999975292 133236069 999977073 133234640 999981420 10829101 999982629 10826996 999981420 10543610 999982629 10541505 999999435 733937532 999999752 733929504 999999975 862985651 999999982 862622100 984079993 548588971 984081406 548587170 999998060 60192383 999999365 60190433 999998060 56381649 999999365 56379699 999998060 56376415 999999365 56374465 999999329 777313568 999999435 777289561 999997287 5136182 999999286 5134909 999999882 31311603 999999997 31289475 999999329 726774893 999999435 726750887 999999993 798340822 999999996 797492614 999999975 958872804 999999982 958509307 999999730 4749459 999999894 4733944 999999956 18935479 999999970 18753741 999999983 724781426 999999985 723509279 978010747 715829097 978015726 715828586 999999882 32720542 999999997 32698418 999999975 807881569 999999982 807518105 999994156 225947583 999994326 225932617 999996307 650803080 999997674 650801219 999996307 650510364 999997674 650508503 999999974 975446456 999999975 972902477 999971889 81533003 999973668 81531573 984096006 548455794 984097913 548454460 984092827 548719478 984094710 548718127 999999435 734076949 999999752 734068924 999999435 721653934 999999752 721645909 999999829 23981567 999999899 23945228 978104517 715899151 978106042 715897483 999999435 721719628 999999752 721711604 999976479 81181333 999978053 81179717 984095528 548704934 984096622 548702609 999999982 178805539 999999988 178381617 999999542 28545354 999999837 28536732 999999410 230255278 999999909 230250181 999999974 996981076 999999975 994437674 999999789 718985186 999999932 718967400 978499376 716059016 978500731 716057139 999993032 625046257 999995261 625045116 999998292 623817393 999999476 623815245 999998292 623794408 999999476 623792260 999985148 30741754 999986962 30740352 978103895 715966641 978105655 715965196 999999144 9573955 999999638 9568807 999999956 20856151 999999970 20674501 999999998 950362462 999999999 947819403 984031395 548454435 984032915 548452762 999999923 213200699 999999955 213121232 984093746 548834956 984095020 548832960 999997657 10960378 999999144 10958668 978094809 716041047 978096224 716039250 998858152 196276581 998859066 196273799 999997287 4403732 999999286 4402460 977313310 715069369 977314635 715067450 999999435 772092378 999999752 772084357 999999998 658092006 999999999 655549391 999981420 9673289 999982629 9671186 999999410 229127371 999999909 229122276 999999969 680114552 999999993 680008619 999993032 625179463 999994800 625178025 999999975 995045174 999999982 994681977 977340382 715070071 977341757 715068222 999993585 625185209 999996307 625184275 993328868 700597487 993331054 700596324 998899777 2783 998901022 741 984093481 548551455 984094664 548549306 978098763 716052104 978100620 716050735 984052396 554482394 984053536 554480164 999996968 30055982 999998840 30054624 999995279 81155879 999996545 81153871 999998840 30714147 999999605 30710824 993357171 700603100 993357652 700597815 999987998 81150203 999989918 81148879 999990119 80976453 999992002 80975103 992110905 719750408 992112475 719748789 999999983 630812957 999999987 630177510 999990808 16145539 999991419 16141379 983758381 548520626 983759112 548517149 999987313 135217786 999988297 135215203 999169969 4802260 999171650 4800748 999999965 8453374 999999975 8199212 999999144 10501125 999999605 10495612 999999843 9516620 999999936 9489293 999143807 4947407 999144976 4945233 999999975 745070096 999999978 744222970 999999955 210743779 999999976 210622761 993238831 700595746 993240222 700593919 999991746 78130440 999993616 78129081 999981420 10221381 999982629 10219279 999981420 9886514 999982629 9884412 999996307 650239854 999997674 650237995 999999882 36941272 999999997 36919175 999999789 712588927 999999932 712571157 999999329 724187173 999999435 724163201 993359343 700661805 993361007 700660278 999985598 30799210 999987426 30797820 999994845 133262512 999997451 133261537 999998060 63710626 999999365 63708679 999998060 62707194 999999365 62705247 999999435 734875953 999999752 734867938 999999435 734148309 999999752 734140294 999997287 4508843 999999286 4507572 999997287 4398886 999999286 4397615 999978298 133248576 999981817 133247854 999999944 635842464 999999971 635748365 978107526 715931026 978109017 715929322 999998169 195997318 999999746 195995707 992124253 719888429 992126466 719887281 999999435 735535787 999999752 735527773 999130107 81584574 999131604 81582877 999997420 29982537 999998840 29980748 999999822 12322940 999999980 12306862 999971889 78105377 999974516 78104410 999990935 78111550 999992424 78109844 998741439 196281202 998743393 196279902 999977921 135210917 999978954 135208458 999993636 625049846 999996307 625048895 984094664 548551455 984095846 548549306 999006560 4971073 999008106 4969430 983654898 548957851 983655602 548954243 999999993 796360360 999999996 795513736 999016425 4946671 999018247 4945277 993371739 700630975 993373025 700629000 999999598 19458608 999999829 19447613 999999859 11419673 999999922 11379358 999994156 228220456 999994326 228205516 999994156 227923923 999994326 227908983 999999605 30628912 999999855 30618753 999146658 4960356 999147661 4957824 999993637 18963517 999995338 18962024 993136011 710133940 993137312 710131988 999998060 63768076 999999365 63766130 999998060 63654464 999999365 63652518 999998060 59755336 999999365 59753390 993354177 700623120 993356245 700621892 999999435 775759562 999999752 775751551 978578309 715742713 978579959 715741174 999999975 997011923 999999982 996649163 999999789 713530877 999999932 713513120 998988214 91964299 998989805 91962703 978118799 716029126 978119718 716026363 999982358 133263603 999983873 133261927 999999329 730777144 999999435 730753190 999182446 4820363 999184157 4818879 984097221 548556979 984098999 548555551 999999829 19379116 999999899 19342845 999128557 91964407 999130047 91962703 999976961 80966426 999978534 80964812 999999987 630141553 999999990 629295280 999999993 831959495 999999996 831113228 999977141 81534439 999979449 81533339 999999946 728430552 999999975 728343008 998753544 196297734 998755020 196296014 984089365 548532599 984090558 548530471 999997129 196126490 999999045 196125165 978578202 715810848 978579981 715809421 993233227 700600662 993238831 700600209 999971889 81143393 999974085 81142237 999112089 81586145 999114018 81584829 999156197 4954339 999157854 4952807 999996307 651301236 999997674 651299379 999998292 624361853 999999476 624359709 978102742 716062712 978103979 716060660 993135432 710127587 993137056 710126024 999998060 62979912 999999365 62977967 999998060 59812966 999999365 59811021 999998060 59785966 999999365 59784021 998755505 196283808 998756748 196281766 999990808 24152146 999991419 24147992 978117657 715950602 978118784 715948350 999999895 25967576 999999927 25888264 999999843 9632785 999999936 9605495 999986254 78122128 999988168 78120802 999993032 624970214 999995337 624969113 983751426 548552921 983753261 548551538 999999710 1013427 999999947 1002719 978689561 715787141 978690297 715783693 999999882 36258865 999999997 36236798 999994805 24705934 999996403 24704346 999994314 24814992 999995637 24813074 999999605 30287033 999999855 30276883 999999605 26062062 999999895 26053312 978113578 715925948 978115328 715924498 999184828 4804998 999186364 4803346 999999829 18304635 999999899 18268387 999999995 777069601 999999996 774532301 984096470 548461767 984098443 548460481 999999435 775008802 999999752 775000798 999983312 81523169 999985140 81521781 999994182 625031710 999996307 625030516 999999923 211093256 999999955 211013967 999999974 956456689 999999975 953919517 999999899 20388076 999999943 20330413 983659139 548935547 983660197 548933149 999994156 227846842 999994326 227831918 999995890 30207367 999998840 30206507 999145975 81582133 999147631 81580601 999983024 30754815 999987467 30754244 999146738 81560324 999148043 81558380 999999882 33870624 999999997 33848564 999999837 29058196 999999983 29040820 993364887 700619993 993367350 700618963 999999989 200044986 999999990 197508119 999999969 666757505 999999993 666651803 978116271 716039510 978117765 716037812 993091857 710137724 993093500 710136180 999995869 24889800 999997785 24888476 999999999 766468152 1000000000 763931468 999999435 776182361 999999752 776174359 984066214 548706263 984067775 548704638 998866961 196252365 998870062 196251547 999980141 81177941 999981323 81175795 999981420 10877514 999982629 10875416 999135568 81578494 999137410 81577117 999999542 29692084 999999837 29683486 993118261 710122875 993118921 710119032 999993032 625163828 999994384 625161952 992107234 719862832 992108926 719861333 999996164 30128199 999998493 30127110 999999144 9579903 999999638 9574769 992080600 719742833 992082084 719741124 999998292 624203755 999999476 624201613 999999730 5795406 999999894 5779942 984081792 548859445 984083665 548858091 999999994 189403393 999999995 186867434 983771107 548500300 983773189 548499082 999991419 22462567 999991537 22441077 999998169 91272216 999999746 91270608 999993957 625289490 999996307 625288411 999122971 91965040 999124056 91962703 977327168 715082440 977328701 715080786 999999969 671721750 999999993 671616102 999999542 28712037 999999837 28703442 999999982 109121585 999999988 108699001 999999944 637076990 999999971 636983083 984094891 548468428 984096822 548467115 999995039 24784053 999995933 24781217 999994156 226522287 999994326 226507373 999999435 773960271 999999752 773952273 999975423 133280517 999976768 133278632 992088473 719751645 992090365 719750305 999981420 11026598 999982629 11024501 999981420 10978174 999982629 10976077 999975423 133295546 999977136 133294066 984085845 548823524 984087248 548821717 999990808 24327551 999991419 24323402 999984971 81001609 999986413 80999851 999999542 28837755 999999837 28829162 999999410 230155571 999999909 230150491 998860424 196280182 998862131 196278697 984086191 548499009 984087731 548497363 999999286 4288744 999999455 4273745 992135817 719748834 992138362 719747838 999999789 717452300 999999932 717434574 978019682 715831723 978023655 715831085 999997287 4410190 999999286 4408922 999996115 135214018 999998169 135212784 999997522 30089453 999998840 30087530 999111932 91966663 999113877 91965360 999998060 63227364 999999365 63225422 999998060 60371638 999999365 60369696 999998060 59871856 999999365 59869914 999999607 5362636 999999730 5342032 999994273 625204840 999995412 625202615 999999946 751890583 999999975 751803198 999992446 30807482 999993513 30805107 999999144 10724812 999999605 10719315 999999925 641502146 999999979 641455218 999999982 726896917 999999983 724362824 999981420 9967043 999982629 9964947 984070702 548858498 984072458 548857055 978112990 715911496 978114433 715909740 999998292 624195986 999999476 624193846 999999542 27081132 999999837 27072543 999999144 10395561 999999605 10390065 999999329 724379939 999999435 724356037 983974798 554638425 983976215 554636637 999991981 81167800 999993918 81166492 978024175 715821906 978025120 715819225 999999969 717433340 999999993 717327777 999995552 24866176 999996304 24862807 999999925 643402376 999999979 643355460 984018225 548462017 984019733 548460337 999999975 865128864 999999982 864766977 993092470 710126021 993093902 710124252 999999925 645961811 999999979 645914901 999996307 658083493 999997674 658081640 999996307 657271226 999997674 657269373 999999899 24320615 999999943 24263046 999992750 78092708 999994423 78091194 993354405 700596525 993356277 700595172 999997287 5092561 999999286 5091294 999997287 4919668 999999286 4918401 998745215 196290937 998746530 196289011 999999997 926476323 999999998 923943641 999997157 24718448 999999367 24717302 999994868 624883557 999996307 624881797 999991554 18999502 999992993 18997742 999976268 134203450 999977802 134201799 999990808 24451551 999991419 24447406 999999542 27305575 999999837 27296990 999999992 134093123 999999993 131560640 978683847 715788389 978684328 715783124 999999969 681655195 999999993 681549676 999999925 653765949 999999979 653719052 998756544 196260482 998758113 196258868 977348360 715076994 977349452 715074675 978104030 716016830 978105748 716015356 978597339 715744784 978599373 715743539 999999946 758330250 999999975 758242929 999995507 134191075 999996626 134188812 998884976 2552 998887067 1341 983748950 548511902 983751181 548510767 999978885 135238388 999980358 135236669 993330137 700619748 993332303 700618579 978019682 715838693 978020998 715836769 999999410 229833795 999999909 229828721 999999410 227392017 999999909 227386943 999999435 773914938 999999752 773906951 999999998 780332177 999999999 777800325 984068394 548841467 984069503 548839184 978004268 715738045 978005627 715736182 999126822 81576514 999128300 81574801 984087370 548488550 984089028 548487023 998859054 196255024 998860349 196253069 999998060 63661864 999999365 63659924 999981420 10156748 999982629 10154654 998748626 196282576 998750034 196280778 999999975 901809881 999999982 901448227 999999975 828427669 999999982 828066030 999999969 718586918 999999993 718481441 984075215 548713129 984076720 548711447 999999710 3082285 999999947 3071604 999991040 81155879 999991822 81152642 999996520 24741891 999997846 24739982 999999989 741544511 999999990 739013254 993344516 700601614 993345634 700599350 978103895 715946385 978105098 715944281 999168648 4822293 999172542 4821643 999998169 195633114 999999746 195631509 999999997 55546940 1000000000 54703246 983651149 548918668 983652542 548916851 999999997 181372444 999999998 178841453 999999710 3814532 999999947 3803853 999159536 4944033 999160846 4942101 999997812 5089599 999999286 5087882 999170740 4813934 999174598 4813278 999997929 11007438 999999144 11005355 978105269 715879692 978107243 715878410 999999948 174652386 999999959 174422345 999981420 10280063 999982629 10277970 999971889 135215688 999973982 135214479 999999410 228143225 999999909 228138154 999998060 63875444 999999365 63873505 999169017 4810302 999170429 4808510 984055975 548461981 984057502 548460324 978109045 715917890 978110946 715916559 999999967 4273744 999999968 1743541 993153264 710126403 993158470 710125917 999999983 741702032 999999985 740437001 984089843 548489959 984091215 548488115 993349651 700651931 993351688 700650689 977958175 715788253 977959525 715786379 977959381 715805394 977961201 715804004 999983645 78108185 999985084 78106427 983650968 548939753 983652926 548938461 999990554 78089808 999991735 78087666 999999983 27267857 999999996 27073265 999999435 721617366 999999752 721609386 999998169 91494798 999999746 91493194 999998169 91048420 999999746 91046816 978025414 715834329 978026797 715832500 992082942 719742364 992084977 719741121 983760430 548553384 983761196 548550082 999972867 135210284 999974296 135208514 984079873 548845022 984081483 548843451 999999955 228092796 999999976 227972353 999994309 20216206 999995338 20213748 999994392 24764023 999996810 24762977 999981420 10821888 999982629 10819796 999991702 18905641 999993770 18904418 978580103 715753748 978581323 715751675 999991419 17859591 999991537 17838159 999996307 650354444 999997674 650352594 999999948 140817918 999999959 140588023 999999976 224543748 999999984 224227647 984037431 548458777 984038508 548456429 999999314 25435289 999999605 25426599 999999314 25382269 999999605 25373579 999999638 9600728 999999843 9588393 999999982 174527160 999999988 174105726 999004953 4965464 999006745 4964053 993095003 710188231 993096307 710186292 999991419 18584186 999991537 18562760 998749603 196305349 998752004 196304296 999999855 30472025 999999933 30439612 999999974 903789862 999999975 901261661 999999975 951424387 999999982 951063217 999999435 734132337 999999752 734124362 978091479 716061594 978093616 716060411 999993737 20109322 999995338 20107743 999993458 78075596 999994345 78072746 999998169 195526934 999999746 195525331 999998169 90878627 999999746 90877024 993345634 700608081 993346712 700605736 999986290 26686502 999988535 26685376 999998292 623835878 999999476 623833743 983749332 548539880 983750652 548537965 999999884 639539871 999999925 639478220 999991419 19518788 999991537 19497367 999999969 707002330 999999993 706897022 998875702 196252214 998877711 196250956 999999144 8661459 999999638 8656343 999999837 28763300 999999983 28745990 978028094 715869140 978029716 715867582 999999329 729451653 999999435 729427813 999999992 229946151 999999993 227419146 999999542 27806335 999999837 27797769 999993414 10915058 999993969 10910505 998834006 196273630 998834945 196270939 999999837 28157019 999999983 28139712 999993032 624837800 999995047 624836546 999981420 10579220 999982629 10577130 984060162 548467113 984061108 548464442 999999607 5423061 999999730 5402519 999998292 623683492 999999476 623681358 978111830 716031494 978112897 716029126 999994156 231018198 999994326 231003336 984076758 548841031 984079559 548840129 992125813 719885570 992128247 719884532 999998060 60393508 999999365 60391572 999998060 59852721 999999365 59850785 999999605 10935867 999999836 10924930 983976211 554628616 983978088 554627270 983759264 548534732 983760095 548531692 999996307 651133053 999997674 651131205 999999955 229164301 999999976 229044006 978109647 715924386 978110754 715922104 983760613 548516282 983762761 548515106 999999882 34578859 999999997 34556894 998998149 4960794 998999764 4959230 999999329 775700166 999999435 775676338 999999998 20512795 999999999 17987047 999981917 78105377 999982638 78101874 999999843 8753063 999999936 8725906 999999638 9630388 999999843 9618068 999999435 720252474 999999752 720244507 999998292 623833743 999999476 623831610 999999710 2940697 999999947 2930041 999999936 9499048 999999965 9411963 992129430 719871589 992131098 719870075 999999144 8526498 999999638 8521386 984084972 548571730 984086733 548570296 998875819 196263223 998877757 196261920 993123701 710124252 993125170 710122533 999998060 60153975 999999365 60152040 999999998 926585869 999999999 924060710 999999975 942026701 999999982 941665971 999999598 21370669 999999829 21359738 999999598 16443443 999999829 16432512 999999841 653399333 999999884 653340611 999999946 720731108 999999975 720644039 999990010 78105696 999991656 78104162 999999925 652476415 999999979 652429657 999996307 650242953 999997674 650241106 999996307 650194348 999997674 650192501 999999981 724526527 999999982 722001767 999997287 5073622 999999286 5072359 999997287 4724492 999999286 4723229 977335057 715074133 977336202 715071928 998737149 196313472 998739185 196312232 984098496 548728186 984100015 548726524 998751666 196275380 998754715 196274552 999994314 24869239 999996562 24868116 999999841 656100075 999999884 656041367 999981420 10286503 999982629 10284415 999981420 9617866 999982629 9615778 999004030 4950314 999005893 4948959 993093808 710183760 993094874 710181392 999982001 81147931 999983702 81146447 984080673 548826948 984083119 548825916 999999435 721032154 999999752 721024191 999982378 135260692 999984071 135259201 984093154 548524917 984095378 548523782 984100724 548562821 984101988 548560824 984044209 548453903 984047982 548453234 999999410 229731661 999999909 229726603 999998060 64005181 999999365 64003247 999999789 24726117 999999816 24632641 999999144 8416661 999999638 8411552 999999329 775416374 999999435 775392566 999999329 730102416 999999435 730078609 999996307 657495366 999997674 657493520 999996307 651287531 999997674 651285685 993347206 700656469 993348508 700654531 984069788 548825369 984071664 548824024 999998169 90696850 999999746 90695250 999975074 135222942 999976184 135220669 999999149 26047081 999999314 26031790 998834945 196268854 998836165 196266786 978498571 716055904 978500278 716054426 999994859 78077827 999996425 78076216 999997287 5024297 999999286 5023035 999997287 4362316 999999286 4361054 998999764 4960794 999001377 4959230 992131239 719850408 992132312 719848057 999992777 20053877 999994575 20052474 999998060 62942084 999999365 62940151 999998060 60234843 999999365 60232910 999998060 56405282 999999365 56403349 999998060 56115918 999999365 56113985 984095672 548728815 984097082 548727026 999999641 650645618 999999644 649804802 999999314 25823904 999999605 25815236 999999435 734140294 999999752 734132337 999999976 224174512 999999984 223859220 999996307 656827069 999997674 656825224 999996307 651385046 999997674 651383201 984051283 554482613 984052396 554480347 998823433 196276108 998824752 196274196 999999638 7447717 999999843 7435415 984100525 554477934 984102826 554476838 993121757 710125123 993123185 710123357 999999978 11921710 999999989 11692457 999999993 110940259 999999994 108418507 999999955 224481503 999999976 224361420 999993032 625336772 999994619 625335183 999996808 30214227 999998840 30212986 999999990 141124321 999999991 138602666 999998169 195445190 999999746 195443591 993125257 710135021 993126030 710131759 999995080 624910609 999996307 624908554 999997129 196139530 999999045 196138214 999982041 134193919 999984058 134192669 978014796 715859406 978016273 715857699 999999435 771384934 999999752 771376981 999999996 996006330 999999997 993485297 999999598 22523116 999999829 22512203 999994895 30242884 999998840 30242245 999999930 794097974 999999951 793977934 999991419 22941936 999991537 22920573 999999882 35172577 999999997 35150657 999981420 10365902 999982629 10363817 999996307 650584532 999997674 650582688 993324228 700596965 993325176 700594306 983833295 548498639 983834648 548496776 999999997 54703246 1000000000 53863040 999993938 625024552 999996307 625023488 999997637 24676127 999999367 24674670 984084683 548710451 984086535 548709090 983770677 548509807 983772529 548508446 984073863 554478835 984076074 554477695 999999435 776101628 999999752 776093677 999999598 17482060 999999829 17471149 999999997 692031368 999999998 689510949 983770205 548525682 983772652 548524652 992135522 719873586 992136577 719871197 993341326 700610309 993343428 700609110 998852612 196268021 998853881 196266035 999992181 64080130 999993730 64078503 999999286 4705866 999999455 4690954 999999882 32645474 999999997 32623560 984076313 548701896 984079110 548700995 999998169 195239367 999999746 195237769 999998169 91193951 999999746 91192353 999998169 90664255 999999746 90662657 999999996 903292418 999999997 900772399 999993032 624945665 999994832 624944265 978018949 715813952 978021146 715812805 999985653 78100001 999986962 78098076 999999923 207368050 999999955 207289306 999999286 5206739 999999455 5191829 978012184 715815012 978013362 715812873 999999948 138937746 999999959 138708682 999999948 148926064 999999959 148697008 984080359 548833466 984081496 548831250 999997129 196121165 999999045 196119850 993110240 710119032 993113024 710118127 999999435 721408044 999999752 721400096 999999944 629061079 999999971 628967764 999999923 221864821 999999955 221786088 999999410 229303509 999999909 229298460 999999410 227270424 999999909 227265375 977347162 715078481 977348360 715076378 999996307 650153293 999997674 650151450 993342751 700620021 993344389 700618483 992085639 719744829 992086661 719742364 999977986 135257692 999984071 135257278 978027237 715847123 978028679 715845376 984087809 548573286 984089428 548571730 999999841 646436574 999999884 646377991 999152680 81569413 999153548 81566511 984066699 548841467 984068394 548839981 999992991 26675671 999995577 26674697 978103895 715996579 978105831 715995278 999999884 644915174 999999925 644853743 984019733 548467113 984020086 548459978 999998060 56670410 999999365 56668480 992047975 719866156 992049935 719864871 992047975 719848570 992049935 719847285 999999730 4576242 999999894 4560885 999999948 161479095 999999959 161250137 977361103 715061495 977364141 715060666 999993032 625299254 999996307 625298485 999998169 195653438 999999746 195651841 999999144 10650789 999999605 10645326 999999997 199102692 999999999 197843494 999999314 26015776 999999605 26007122 999995515 24798031 999997204 24796540 993097888 710130014 993100550 710129068 999999925 650898135 999999979 650851501 984091479 548464105 984093555 548462892 983647089 548961057 983649110 548959811 999189846 4833284 999190949 4831001 983645356 548910289 983646732 548908459 984096678 548834956 984098142 548833236 999986630 81507695 999988146 81506034 999999149 25495801 999999314 25480540 984087542 548585265 984089069 548583616 999996307 657247893 999997674 657246051 999996307 650761582 999997674 650759740 999999948 12137196 999999978 12053263 999999841 655148051 999999884 655089494 977957699 715750691 977961201 715749972 999177992 4835793 999179518 4834143 979515594 713845436 979517301 713843961 999999329 725313074 999999435 725289321 999977778 78105377 999978772 78102844 999999975 804927130 999999982 804567457 999995641 11071265 999996862 11069203 984094819 548569603 984097203 548568547 999999410 227502437 999999909 227497392 999999314 25721990 999999605 25713339 999989507 133262260 999990495 133259712 999999144 8819920 999999638 8814824 999999789 719824131 999999932 719806527 999998060 60072447 999999365 60070518 999999329 722249017 999999435 722225269 984017006 548464310 984018225 548462245 999981686 135189538 999984072 135188483 999996545 81154007 999998169 81152457 977319579 715082069 977321221 715080536 999981420 10226584 999982629 10224502 977314390 715082543 977315910 715080887 999999789 716052401 999999932 716034799 999975497 81530962 999977141 81529431 999998169 195510822 999999746 195509226 999999975 816140432 999999982 815780880 999993904 625061665 999995247 625059791 999997287 4561670 999999286 4560411 999999909 223826602 999999919 223574928 978114341 716039968 978116271 716038664 999999144 10735526 999999605 10730067 993349770 700670037 993352284 700669036 999999410 228539857 999999909 228534814 999999990 777800324 999999991 775283876 999994156 222760644 999994326 222745842 999983520 133292594 999984678 133290421 999999993 790527402 999999996 789688643 984086191 548516206 984088140 548514915 999999598 16982219 999999829 16971327 999998060 56573014 999999365 56571086 983772153 548539590 983773910 548538158 993166597 710120512 993168297 710119032 999998292 623893059 999999476 623890934 992106126 719869960 992108430 719868868 999990361 134195838 999992045 134194344 999999991 89381774 999999992 86865976 999999605 25983524 999999895 25974849 999999435 720159518 999999752 720151582 998752955 196252179 998755012 196250956 999991537 20185203 999993070 20183562 999993032 625157353 999994755 625155893 999164772 4834044 999165718 4831385 992139540 719882000 992140999 719880276 999998169 91471824 999999746 91470229 999996307 657959616 999997674 657957776 999996307 651125337 999997674 651123497 999999969 660559366 999999993 660454563 999995198 624988792 999996307 624986524 999999822 12586621 999999980 12570702 999999956 17591501 999999970 17411853 999999329 728511035 999999435 728487309 999999969 715617349 999999993 715512560 999999605 26072345 999999895 26063673 999999969 671453102 999999993 671348317 999994119 133234885 999996399 133233782 999998292 623498821 999999476 623496697 999993901 20089945 999995338 20088195 999998060 64024227 999999365 64022300 999998060 56693050 999999365 56691123 992134110 719845399 992135473 719843554 999981420 10163069 999982629 10160989 999999882 31189980 999999997 31168114 999999789 715864910 999999932 715847326 999993513 30148494 999994688 30146354 999999969 712792784 999999993 712688014 999999829 18420261 999999899 18384340 999999144 7642959 999999638 7637869 999999329 724509716 999999435 724485995 999994830 24871107 999996176 24869239 999996186 11099829 999999144 11098979 978017429 715820930 978018884 715819202 978109315 716020284 978110288 716017700 999999435 735012979 999999752 735005048 999999730 5373532 999999894 5358202 999978467 133220192 999979999 133218551 999999329 733723113 999999435 733699396 999118808 81581580 999123234 81581012 978684413 715783124 978685010 715778913 999994156 228373215 999994326 228358427 983979589 554690874 983981416 554689498 999996307 657720578 999997674 657718739 999999969 695879731 999999993 695774986 999998169 90821944 999999746 90820350 999999925 642551304 999999979 642504754 999992575 18869688 999994627 18868463 998746981 196285901 998748182 196283808 999998292 624440085 999999476 624437962 999999943 24489115 999999970 24396019 999999598 21569738 999999829 21558857 999981420 10686601 999982629 10684522 999981420 9974603 999982629 9972524 999999144 7903248 999999638 7898160 977325538 715075595 977327168 715074053 999998060 63506009 999999365 63504083 984067377 548465102 984068740 548463258 999999476 624030560 999999484 623716390 999988297 135224096 999989721 135222331 984061273 548450922 984064487 548450140 992107543 719855691 992110172 719854735 999993794 624817636 999996034 624816514 999999976 197929593 999999984 197615438 978114555 715884467 978116537 715883199 998971181 91966663 998972337 91964489 999999884 650241705 999999925 650180410 983978427 554655165 983979574 554652974 999984896 135253401 999986509 135251843 978014172 715843337 978015943 715841918 999109840 81573683 999111611 81572264 984079673 548581573 984081891 548580440 999999542 29368165 999999837 29359647 983657607 548922852 983658966 548921003 999999969 703604691 999999993 703499992 999997287 4940667 999999286 4939410 999997287 4477002 999999286 4475745 999999975 726401909 999999978 725564358 999998292 623720142 999999476 623718020 999998292 623713133 999999476 623711011 984067524 548717048 984068784 548715054 978115313 715972271 978116236 715969549 999995384 135255585 999996932 135253962 999990718 133235912 999992440 133234453 983837772 548498639 983838209 548492890 999997892 24825606 999999145 24823601 999994156 230722740 999994326 230707962 999999789 716331664 999999932 716314096 978595749 715741151 978597339 715739571 998866517 2783 998867639 544 999998060 63179156 999999365 63177231 999998060 60277467 999999365 60275542 999999598 16304015 999999829 16293140 999998060 59850785 999999365 59848860 999187201 4841478 999189376 4840323 999999925 653889288 999999979 653842770 999999410 228279249 999999909 228274215 999999149 26209202 999999314 26193978 977345438 715076378 977347321 715075044 999997129 196064344 999999045 196063033 984098011 548523782 984098951 548521110 999018621 4954267 999020986 4953205 984048204 548455777 984049150 548453122 978630958 715739059 978631831 715736182 999999598 19548321 999999829 19537449 999993969 10912492 999996354 10911439 993165770 710111717 993167922 710110550 993372055 700592000 993373025 700589411 993360608 700604301 993362699 700603100 999072223 91964226 999075362 91963426 999996307 650767378 999997674 650765541 999999605 25286226 999999895 25277567 999995862 10930566 999998336 10929551 999993257 81539039 999995606 81537970 999999144 8805970 999999638 8800887 977355627 715070549 977357563 715069252 993366711 700664381 993368375 700662872 999988476 81148747 999989792 81146839 999999919 217934259 999999923 217306528 999993460 133276429 999994877 133274657 999999855 30062920 999999933 30030729 999998060 63780312 999999365 63778388 999998060 63546958 999999365 63545034 999998060 60354717 999999365 60352793 999999948 70991485 999999959 70763235 999979095 81162615 999981265 81161458 999999955 217985600 999999976 217866045 999123569 81577117 999124653 81574801 999999710 3473215 999999947 3462622 999999410 230006742 999999909 230001711 999995700 24732132 999997978 24731030 978094530 716062712 978095904 716060885 999980190 135189538 999981686 135187860 992107811 719866442 992109630 719865062 999999789 714329503 999999932 714311951 999992314 20225072 999995338 20224242 999999969 660177832 999999993 660073254 999996307 651238375 999997674 651236539 999996307 650694078 999997674 650692242 999996307 650159985 999997674 650158149 977366706 715069586 977369296 715068617 999999948 109226802 999999959 108998651 999980862 133235500 999982617 133234070 998757143 196301172 998759195 196299949 999999994 212469227 999999995 209959662 992122493 719844937 992123418 719842224 999998060 63797361 999999365 63795438 984071067 548577733 984072484 548575962 998745100 196294983 998747162 196293766 999990808 16172922 999991419 16168815 999999598 16354797 999999829 16343934 998980535 91963917 998982602 91962703 999999923 208271932 999999955 208193516 999998840 30636958 999999605 30633678 999104145 81559964 999105729 81558380 999995749 10889792 999999144 10889053 999994314 24650125 999995631 24648220 999999990 190541474 999999991 188032607 999999837 27599472 999999983 27582288 999999607 4806122 999999730 4785725 999999979 647646290 999999997 647506912 983971368 554696920 983973657 554695824 999993032 625348635 999996307 625347869 999999993 930047392 999999996 929211185 999999882 36701105 999999997 36679291 999999996 1000000000 999999997 997491408 977329847 715064448 977331857 715063200 999124311 81567202 999126138 81565829 999999969 700271095 999999993 700166581 984082927 548823524 984083769 548820545 978091096 716064818 978092287 716062712 992120041 719748136 992121839 719746741 999999144 7223005 999999638 7217928 999995990 133214856 999998169 133213705 999999993 713065710 999999995 711811727 999999882 31720643 999999997 31698835 999145974 4975571 999147524 4973953 999999997 945504221 999999998 942996421 999997200 11103588 999999144 11102298 999999598 17236093 999999829 17225237 998864885 196274629 998867021 196273455 999999948 95399416 999999959 95171449 999989332 135206161 999991039 135204692 998827676 196276084 998828496 196273026 983654359 548937130 983656549 548935985 999991696 81529487 999992965 81527511 998823662 196269926 998826167 196268925 999985934 81157809 999987515 81156223 999998169 195338238 999999746 195336648 992109598 719846199 992111472 719844861 978495181 716062432 978497146 716061156 999985478 78111464 999987154 78109968 999990349 78084929 999991735 78083120 999999923 215626703 999999955 215548353 999999948 80817973 999999959 80590049 984071349 548699488 984072485 548697281 999971889 133235372 999973184 133233436 993335404 700591228 993336944 700589600 983639722 548916404 983641658 548915109 999999925 649526447 999999979 649480019 993091857 710161381 993092679 710158331 999996307 657102934 999997674 657101100 999996307 656769566 999997674 656767732 998998993 4950050 999001745 4949139 999999607 4313992 999999730 4293610 978109798 716037203 978111101 716035279 999999988 70881388 999999989 68374416 999998060 62803523 999999365 62801602 999998060 60480194 999999365 60478273 999133172 81571767 999135797 81570812 999993436 19040485 999995338 19039167 983763190 548502850 983765903 548501926 999999993 858416538 999999996 857580948 984084442 548956309 984085675 548954276 999999144 8507598 999999638 8502524 999998292 623623839 999999476 623621722 999999993 802887984 999999996 802052482 999999975 802506649 999999982 802148581 999988331 78086099 999988778 78080492 999999996 146812469 999999997 144306195 983772136 548518962 983773533 548517168 978026079 715863371 978027444 715861535 978028506 715842236 978029766 715840247 999997129 196196427 999999045 196195119 999999329 725395489 999999435 725371847 999999605 30509880 999999855 30499856 984086701 548712338 984088029 548710451 978016273 715859406 978017741 715857699 984095528 548719233 984096990 548717519 999998169 195737187 999999746 195735598 999998169 91321052 999999746 91319463 984005341 548453763 984006829 548452079 999999985 231305515 999999986 228799751 999996282 11038236 999997824 11036611 999992548 20202576 999993912 20200739 992121041 719746036 992122521 719744343 999999946 725562715 999999975 725476315 999998060 56146070 999999365 56144150 999999435 734068924 999999752 734061020 999999710 1240572 999999947 1230000 999999855 30198228 999999933 30166106 999999999 172671681 1000000000 170166222 993364108 700644402 993365594 700642716 999993032 625212186 999996307 625211421 999998292 624011467 999999476 624009351 999995409 30245174 999996503 30242884 999999984 211228096 999999985 208722859 999995811 24666996 999997918 24665807 999011927 4970101 999013765 4968738 999999946 757893865 999999975 757807480 999999948 104752758 999999959 104525021 984073863 554477695 984076074 554476562 999981420 9676704 999982629 9674632 999999996 814253902 999999997 811748868 983750171 548530400 983752175 548529150 999977876 30805136 999979217 30803268 999104340 91964104 999106128 91962703 999993414 11029334 999995683 11028230 993357171 700596410 993358940 700594994 984091455 548589938 984094279 548589051 992106126 719881942 992109325 719881159 984090015 554480914 984091704 554479431 999997287 4716468 999999286 4715215 999999925 641733648 999999979 641687264 977328439 715079004 977330075 715077473 999982169 135200936 999983121 135198305 999999948 189840731 999999959 189613034 999180266 4802260 999183502 4801486 999999435 775139296 999999752 775131395 993227665 700592391 993228960 700590457 993123397 710114199 993126340 710113348 999994156 227320509 999994326 227305777 999999605 25385165 999999895 25376529 999993032 625061743 999993904 625058871 977988570 715745454 977990398 715744084 999979870 135200558 999981074 135198478 999998060 56724488 999999365 56722569 999999923 205075295 999999955 204997039 999999971 638496537 999999983 638287855 999999931 624550652 999999944 624358028 999973459 133284891 999975423 133283616 999999341 6909102 999999588 6898964 999999329 730753190 999999435 730729567 999993683 20250817 999995338 20249304 984074368 548842969 984075660 548841031 998875819 196267077 998877757 196265785 999990808 24340691 999991419 24336593 999999997 45479272 1000000000 44644706 999999638 8601081 999999843 8588868 999999944 633249835 999999971 633157119 999999955 225587892 999999976 225468688 999982324 134203819 999983212 134201000 999991537 18901300 999993476 18900009 999999948 93238898 999999959 93011335 983761522 548537984 983762805 548536033 999999955 222463927 999999976 222344731 999999948 11477451 999999978 11394014 999999329 728427174 999999435 728403560 999972668 81519262 999973892 81517217 999999997 822840652 999999998 820337656 999998060 63274347 999999365 63272429 999998060 56072053 999999365 56070135 984086273 548561629 984087662 548559827 978098763 716058143 978100517 716056716 999981063 133246056 999982882 133244680 999999598 22137709 999999829 22126874 999997287 4787081 999999286 4785829 999998169 195330518 999999746 195328931 999998169 90936969 999999746 90935382 999998169 90782862 999999746 90781275 999990808 24547385 999991419 24543289 998841899 196271428 998842934 196269010 999992282 20314385 999993576 20312451 999996601 81517859 999998169 81516263 999999927 25585012 999999943 25428604 999999976 226494652 999999984 226181838 999125593 81573445 999126959 81571613 999999955 219497414 999999976 219378248 984076249 548449648 984078221 548448379 999999948 135912708 999999959 135685215 999999286 5494841 999999455 5480035 984016233 548464310 984017006 548461073 999999882 32837261 999999997 32815503 999984365 30752551 999986926 30751574 999976061 80973528 999977852 80972131 977982231 715741898 977984401 715740745 993128538 710125295 993129632 710123008 999990528 135245733 999991564 135243318 999998292 624042864 999999476 624040751 978109203 716049504 978109505 716041220 999998060 63531488 999999365 63529571 999998060 63167721 999999365 63165804 999998060 63087204 999999365 63085287 999998060 56150622 999999365 56148705 984096837 548475750 984098848 548474506 984088921 548463507 984089834 548460767 999999144 8610258 999999638 8605194 999996307 657005753 999997674 657003923 999996307 651181365 999997674 651179535 999999639 196103806 999999693 196057480 993371574 700669352 993373025 700667628 999999598 16640579 999999829 16629750 999999435 735279587 999999752 735271696 998852817 196256518 998853738 196253802 999990808 23555786 999991419 23551692 999160441 4970767 999162522 4969565 993093500 710137724 993095120 710136180 999999638 8303145 999999843 8290944 999999822 15148523 999999980 15132693 999991537 20109322 999993121 20107743 999998169 91558964 999999746 91557378 999998169 91175643 999999746 91174057 999978302 133278614 999980388 133277415 999988710 80953791 999990298 80952216 999124306 81586109 999125736 81584360 999999946 750467457 999999975 750381214 999994156 222094721 999994326 222080009 999999909 198522041 999999919 198271940 999993459 18877747 999994765 18875832 999999329 724631060 999999435 724607466 999999944 627023091 999999971 626930465 999973998 133295546 999975423 133293791 999997287 4642214 999999286 4640963 993091857 710110341 993094124 710109238 999999899 24219637 999999943 24162808 999999829 23709109 999999899 23673389 999999605 26388008 999999895 26379386 999977026 135237074 999978885 135235729 999999993 838677553 999999996 837844104 983658176 548909069 983660024 548907716 999996307 657862279 999997674 657860450 978095958 716014670 978096913 716012052 999999144 9655952 999999638 9650891 999979999 133217611 999982606 133216652 983973294 554647919 983974154 554645012 999999410 230169082 999999909 230164072 999999909 227643440 999999919 227393444 999981975 135234951 999983288 135233047 999979155 81154409 999979916 81151124 999999286 5559789 999999455 5544997 999990705 30793289 999991848 30791102 999999286 6691802 999999455 6677011 977327168 715061597 977328655 715059916 984100727 548961057 984101992 548959081 992082956 719745698 992084798 719744341 983651762 548955463 983653400 548953937 999147172 4966804 999149312 4965636 999999410 230597661 999999909 230592652 999998292 624252580 999999476 624250469 999999975 884280388 999999982 883923333 999993513 30256282 999994647 30254078 999999948 179285532 999999959 179058326 984088387 548479654 984089735 548477800 999997641 196032878 999999045 196031098 999999144 10911322 999999605 10905901 999999956 19534825 999999970 19356321 999999923 225413193 999999955 225335099 999981420 10724377 999982629 10722310 999994156 226040422 999994326 226025722 999990808 16555537 999991419 16551447 999992043 16318585 999993485 16316852 999972564 133249625 999973975 133247854 999995955 30190793 999997331 30188977 999983308 80967065 999984919 80965514 999999410 228234603 999999909 228229596 999992480 18973488 999993733 18971494 993237357 700609893 993239367 700608650 999991207 134197122 999993265 134195908 999971889 78097421 999973689 78096033 999999982 109879060 999999988 109462667 999999638 7515234 999999843 7503047 999999329 723027907 999999435 723004338 984079256 548833515 984080359 548831250 999999717 12719590 999999822 12695797 999998292 624054625 999999476 624052515 984040397 548457808 984048204 548457488 998758576 196268466 998760581 196267220 999111611 81573318 999113505 81571999 999983736 81180504 999985048 81178600 999999605 10847637 999999836 10836823 999999329 723761476 999999435 723737910 999999286 5064048 999999455 5049267 999972614 133275514 999974687 133274309 999994125 81166095 999998028 81165455 999997697 196202318 999999045 196200465 999994156 226816953 999994326 226802260 999130313 81578153 999132724 81577117 999981420 10050907 999982629 10048841 999998060 63616761 999999365 63614847 999991537 20232471 999993235 20231000 999997727 24671513 999999367 24669990 999999975 924766367 999999982 924409566 999999329 729783164 999999435 729759602 999999944 622645786 999999971 622553284 999996307 656746383 999997674 656744556 984093481 548549306 984095846 548548250 998993263 4969728 998995327 4968518 999999948 155235757 999999959 155008718 999993616 78131017 999994464 78128072 999999598 19602880 999999829 19592069 999999894 5121153 999999965 5085980 999999121 26674696 999999149 26585508 984066214 548587655 984067425 548585593 993165641 710127011 993167010 710125187 999999948 129409324 999999959 129182320 999999605 26156508 999999895 26147898 999990736 81508960 999993196 81507945 999999598 19840345 999999829 19829536 999994314 24959853 999995271 24957244 978103526 716053895 978105506 716052634 978109449 715906352 978110734 715904409 999999955 229536679 999999976 229417788 993342751 700616974 993345634 700616108 999996545 30256282 999998280 30254843 999981420 10063407 999982629 10061342 999988958 78118578 999989892 78115905 999999946 726396751 999999975 726310662 992047975 719745243 992049501 719743607 999999410 227810245 999999909 227805242 999996582 24735389 999998085 24733728 999999946 776814737 999999975 776728652 984097652 548573623 984098868 548571570 999154980 81574523 999157050 81573317 999999598 20194628 999999829 20183821 999999829 16528763 999999899 16493100 999998169 91050142 999999746 91048559 999998169 90870802 999999746 90869219 999999435 775836600 999999752 775828725 999999976 225631028 999999984 225318982 999991537 20133041 999992585 20130659 977322358 715070419 977324611 715069311 999999822 13688481 999999980 13672683 999991537 20277772 999993059 20276132 978107692 716011150 978111183 716010435 999999435 774225506 999999752 774217632 993105258 710117563 993107181 710116265 999978609 30763663 999980208 30762102 993370238 700663525 993371486 700661525 999999410 230182694 999999909 230177692 999995105 9051346 999997900 9050453 999977316 135248091 999978942 135246556 999998292 624815555 999999476 624813447 984100061 548475750 984101703 548474230 999999982 174105726 999999988 173689754 999999843 8716214 999999936 8689378 999994450 625198983 999995701 625196988 999997364 24947306 999999367 24946060 999985312 81525648 999986539 81523614 999999829 18973271 999999899 18937618 998739388 196286148 998740279 196283347 978104711 716011079 978106673 716009807 999999975 953458964 999999982 953102451 999993032 625054458 999996307 625053696 983766624 548491789 983768557 548490498 999999045 196060172 999999639 196055971 983760942 548492292 983765903 548491789 993358940 700596410 993359996 700594047 999999717 15062419 999999822 15038654 999983305 133275163 999985259 133273886 999999899 16212690 999999943 16155980 984070191 548830573 984071925 548829134 983646387 548905531 983647758 548903711 999999144 9391575 999999638 9386524 999999925 643583895 999999979 643537691 999999975 861653068 999999982 861296639 999999943 15571204 999999956 15379284 999999955 219078928 999999976 218960121 999977953 135203316 999980834 135202450 984073992 548841031 984076758 548840129 993165358 710132049 993167093 710130611 999999789 719806527 999999932 719789080 999974193 78117125 999976238 78115905 999991419 20478774 999991537 20457631 999999329 727910332 999999435 727886796 999998169 91546476 999999746 91544894 999996307 650701532 999997674 650699707 978594085 715747913 978596201 715746734 999997287 4939173 999999286 4937925 992132878 719749673 992133735 719746762 993336266 700596193 993337588 700594306 999994156 229490140 999994326 229475466 999997389 4463341 999999286 4462026 978103895 715934091 978105491 715932528 978496890 716064535 978499217 716063463 993348274 700596525 993349926 700595015 999994314 24661477 999995790 24659787 984100851 548538121 984102826 548536858 999994464 78131017 999995311 78128072 999999837 28206237 999999983 28189152 978686614 715766385 978688804 715765246 999999969 689497282 999999993 689393350 999980755 78094972 999982662 78093664 999993513 30084943 999994783 30082979 998861102 91966412 998862705 91964856 998984324 91966663 998986553 91965544 999981420 11056162 999982629 11054099 978498108 716063463 978499376 716061496 999990808 15894591 999991419 15890509 978109505 716027594 978111531 716026363 984076201 548823524 984077453 548821532 978118133 715925948 978119328 715923861 999999969 674834579 999999993 674730669 978098177 716035940 978100499 716034866 984022178 548462649 984024009 548461287 999994156 223963200 999994326 223948531 999988432 81525648 999989658 81523614 999999999 791880772 1000000000 789387105 984066955 554477662 984068147 554475570 999999730 6821168 999999894 6805963 999116494 81586667 999117056 81582230 999996307 657869381 999997674 657867557 999996307 657619328 999997674 657617504 999996307 650135610 999997674 650133786 999999710 1403489 999999947 1392969 999994156 224232884 999994326 224218218 978106931 716060474 978107628 716056897 999999925 645107429 999999979 645061260 999999329 732793432 999999435 732769912 999995678 24904329 999997110 24902588 999999925 655392642 999999979 655346474 993337811 700603166 993338970 700601015 999981420 10533540 999982629 10531478 999971889 78115905 999973600 78114448 978577968 715803530 978579827 715802189 999127196 81574568 999128300 81572310 999975886 135205668 999977953 135204462 999995086 10952597 999997035 10951318 999995416 80947471 999997303 80946150 999999144 8770488 999999638 8765442 999999955 228429655 999999976 228310954 978100088 716011738 978101929 716010384 999992754 135203534 999994105 135201689 999999930 806221952 999999951 806103258 999998060 62863725 999999365 62861815 999998060 56475375 999999365 56473465 999999710 342340 999999947 331823 984086191 548532599 984087688 548530934 999996527 9075226 999998618 9074034 999999931 625704568 999999944 625512840 977316796 715062648 977318844 715061431 984074368 548844493 984077119 548843587 999999882 35250871 999999997 35229198 999991729 16369772 999993259 16368143 999998292 624701310 999999476 624699205 999999710 767322 999999947 756806 999999144 9553126 999999638 9548081 978118538 715982568 978119718 715980456 993359376 700628542 993361222 700627192 999999837 27218336 999999983 27201267 999994314 24926971 999995428 24924734 978029457 715749189 978030397 715746538 984085479 548697315 984087728 548696207 983760689 548522566 983761753 548520224 992114617 719878552 992115699 719876249 999180784 4811011 999182550 4809600 993360517 700680721 993361861 700678867 999981420 10964646 999982629 10962585 999981420 9872901 999982629 9870840 998751552 196255135 998752955 196253359 999999944 617169472 999999971 617077186 999998169 91568472 999999746 91566892 999998169 90890889 999999746 90889309 999999822 14954218 999999980 14938448 978023250 715828937 978027978 715828410 984093120 548494743 984094456 548492878 978493339 716054723 978494628 716052790 998747049 196256109 998748151 196253848 999999946 726085155 999999975 725999238 999999710 3678416 999999947 3667903 992115568 719852523 992116928 719850691 999999605 30761590 999999855 30751624 999999983 29156316 999999996 28964668 999999955 230529674 999999976 230411037 999999149 25776271 999999314 25761172 999999329 777012910 999999435 776989407 999998060 62767642 999999365 62765733 992113902 719844293 992116323 719843264 999999789 715207635 999999932 715190214 999058767 91963656 999061381 91962703 983766996 548494515 983768405 548492747 999992840 81523614 999994199 81521781 999980231 78075220 999982134 78073911 983747870 548544875 983749423 548543271 999138893 91964184 999140910 91962949 998737149 196315126 998738655 196313472 999021619 4963530 999023460 4962177 999999975 995401003 999999982 995045174 999999884 645184572 999999925 645123821 999975887 133275593 999976995 133273345 993239850 700607758 993241015 700605620 999997287 4444059 999999286 4442813 999999435 771875538 999999752 771867681 984101462 548703815 984102826 548701989 999978420 30771678 999982188 30771017 999996007 11001666 999997393 10999869 999996623 133256138 999998169 133254527 999999969 694871824 999999993 694768049 999976039 81543871 999977141 81541611 999999710 715976 999999947 705468 999999837 27397865 999999983 27380808 993340149 700614356 993342072 700613061 983643291 548946226 983644676 548944428 999993233 20284123 999995338 20282940 999998169 195639618 999999746 195638039 999998169 195614988 999999746 195613409 999998169 195496905 999999746 195495326 999999975 860199256 999999982 859843532 999999329 735002033 999999435 734978542 999999605 30412353 999999855 30402393 983761826 548546575 983762920 548544299 999998060 56440763 999999365 56438855 999989567 30810214 999993513 30809583 999976090 133268566 999978063 133267304 999999710 3749084 999999947 3738578 992137138 719854691 992138260 719852472 999999598 23466632 999999829 23455854 978029038 715833095 978030397 715831263 999999710 3102515 999999947 3092010 999981466 30803268 999983128 30801770 999018247 4946614 999020384 4945449 983976260 554593477 983977605 554591626 993332478 700625148 993333604 700622937 992113928 719755014 992116388 719754002 999999455 6553405 999999607 6537027 999999822 14922000 999999980 14906244 978111510 715965501 978113246 715964067 978112375 715907562 978115901 715906856 999998840 30354163 999999605 30350909 999996307 657755465 999997674 657753644 999999884 645843880 999999925 645783166 999991802 135200639 999993555 135199219 999999993 932027551 999999996 931197811 999993032 625043442 999995096 625042236 999999982 101954458 999999988 101539606 984093952 548848678 984095562 548847132 999999598 21528777 999999829 21518002 977325538 715072258 977327168 715070731 999991515 64111884 999993274 64110469 999994678 20278800 999995338 20275029 999999969 712035395 999999993 711931694 999128641 81567859 999130471 81566499 999999948 85415657 999999959 85189406 984051283 554479510 984052396 554477274 984086191 548501216 984087731 548499600 999994142 30247639 999995902 30246225 999998060 64035741 999999365 64033834 999998060 60432496 999999365 60430589 999998060 60228847 999999365 60226940 999999789 719002589 999999932 718985186 999998840 30380523 999999605 30377270 978107389 715943445 978108547 715941296 999999410 229851317 999999909 229846330 999999144 10493867 999999605 10488469 999999837 29751273 999999983 29734229 993325176 700596965 993326937 700595552 999999960 2296238 999999965 1798587 978582427 715738067 978583747 715736182 999999435 720431956 999999752 720424107 999999605 30029858 999999855 30019906 984047313 548457488 984048007 548453903 999996307 657676901 999997674 657675081 999999946 744172835 999999975 744087044 999998840 30399093 999999605 30395841 999979981 81523797 999981215 81521781 992128051 719869454 992129430 719867650 978110518 715931329 978111632 715929096 983643327 548944015 983645171 548942666 999999841 647452201 999999884 647394351 999999944 618172615 999999971 618080485 978688306 715738737 978689579 715736783 999994156 223707315 999994326 223692683 999991419 23477806 999991537 23456726 999993032 625038858 999993995 625036275 999991821 20219895 999993159 20218036 999998060 56060627 999999365 56058721 999999588 7144363 999999891 7136154 999999930 779807532 999999951 779689092 983978788 554606751 983980464 554605267 992056565 719750830 992057786 719748793 999999999 86291862 1000000000 83804724 983748415 548502864 983749954 548501248 993225592 700610953 993226954 700609127 984075012 548711381 984077686 548710451 993225592 700601284 993227270 700599802 999997461 11081119 999998929 11079425 999999985 732796296 999999986 730309532 999997287 5078559 999999286 5077315 983979908 554615111 983981416 554613462 999012349 4950777 999014129 4949380 999999144 10885719 999999605 10880325 999996307 650653200 999997674 650651381 999996307 650394008 999997674 650392189 998753954 196305349 998755398 196303627 999999982 68199691 999999988 67785265 999999410 228908909 999999909 228903926 983642823 548952046 983644579 548950630 999991621 20191894 999992738 20189668 984069041 548702434 984070792 548701014 984089327 548855541 984093038 548854871 999999884 655794567 999999925 655733924 999992634 20262495 999994165 20260871 978586960 715738067 978588279 715736182 999146641 4946541 999147886 4944544 999999598 19731847 999999829 19721084 999999841 651483362 999999884 651425544 999999884 651352438 999999925 651291800 999998060 63391628 999999365 63389723 999998060 63385138 999999365 63383233 999998060 56247449 999999365 56245544 999999435 777552810 999999752 777544968 999991537 16332539 999995338 16331885 999999710 2237570 999999947 2227082 978608284 715737419 978610556 715736325 999999925 647154148 999999979 647108119 999999605 10773839 999999836 10763079 999999948 141426909 999999959 141200952 984079729 548958918 984081588 548957581 999999476 625376227 999999484 625065542 999998169 91614879 999999746 91613303 998844849 196276218 998846637 196274828 993343397 700604889 993344516 700602668 993097314 710162149 993100550 710161381 999996307 657067575 999997674 657065757 999993789 624862955 999995324 624861336 977352322 715071330 977353715 715069546 999999638 7623743 999999843 7611621 978111470 715941296 978112801 715939429 999995846 78101356 999997078 78099339 999980552 78078617 999982462 78077316 999999969 663434133 999999993 663330596 984085696 548569875 984087391 548568409 984083081 548558133 984084797 548556685 999999990 627511760 999999992 626269388 999994156 224661659 999994326 224647043 999999717 12428907 999999822 12405243 999999955 201439276 999999976 201320961 983638859 548928817 983640143 548926882 999999410 227472135 999999909 227467156 999981420 10093273 999982629 10091218 984066214 548724151 984067048 548721172 984037186 548467113 984038699 548465471 999980953 81539592 999982121 81537465 999999341 7071767 999999588 7061709 999999144 10267889 999999638 10262860 999999974 800044114 999999975 797559810 993117402 710110606 993119218 710109238 983762812 548535351 983764028 548533308 999999605 30589690 999999855 30579753 999999607 4988849 999999730 4968652 993161666 710129502 993163904 710128392 999999598 24283987 999999829 24273233 999998292 624346379 999999476 624344281 999999410 227442886 999999909 227437908 999999841 641686671 999999884 641628904 999999998 166129070 999999999 163645138 999999975 886952594 999999982 886597748 993333587 700618579 993335449 700617245 998820748 196264413 998822077 196262544 998738918 196299322 998740602 196297847 999996307 657069392 999997674 657067575 998870105 91966663 998871429 91964787 999988178 81531274 999991696 81530568 999972765 80953791 999974177 80952032 984093237 548527923 984095378 548526763 999999891 7051511 999999949 7008692 999999975 872016315 999999982 871661544 999999144 7310732 999999638 7305705 999979895 133253059 999980845 133250445 999999329 731329645 999999435 731306218 999999829 23554048 999999899 23518573 978115278 715878410 978117983 715877492 984073373 548722687 984075012 548721172 979502395 713843903 979504673 713842813 978108992 715874609 978110231 715872605 999971889 78070350 999973273 78068556 999977558 2077 999978754 1 999998292 623761109 999999476 623759012 999998292 623550828 999999476 623548731 999999975 982056628 999999982 981701939 999999314 26209853 999999605 26201321 999997287 5085170 999999286 5083928 999987154 78134952 999989298 78133794 984066214 548707249 984068732 548706263 999993854 16272916 999995338 16271243 999991537 20112177 999993821 20111090 999999946 760308127 999999975 760222520 999999975 968829625 999999982 968474968 999999946 775891067 999999975 775805461 999183252 4834017 999184642 4832231 999996307 657751506 999997674 657749690 999996307 657497587 999997674 657495771 999996307 651068362 999997674 651066546 999996307 650822746 999997674 650820930 999990870 81540426 999992937 81539225 999999730 6231871 999999894 6216735 992140878 719884175 992143200 719883106 999995821 24886910 999997250 24885173 999981921 80983161 999982712 80980023 999998060 62848101 999999365 62846199 983833693 548507102 983835279 548505537 993098388 710188180 993100550 710187032 999999638 9077302 999999843 9065195 999990808 15500029 999991419 15495967 999999598 23934192 999999829 23923448 999998055 24833098 999999311 24831122 999991046 30756484 999992119 30754171 999994156 226366952 999994326 226352353 992132489 719751539 992133819 719749673 999997287 5096483 999998531 5094488 999974085 81143393 999975185 81141137 999999329 721158306 999999435 721134896 999975545 133215141 999977924 133214098 999999455 4606517 999999607 4590193 999994784 80946150 999998169 80945417 999994051 624788253 999995678 624786728 999996307 650825773 999997674 650823958 984066214 548565680 984068029 548564313 999999455 4506566 999999607 4490243 999999979 657471607 999999997 657333769 983976223 554696920 983977524 554695013 993138221 710122018 993140085 710120687 993094799 710128996 993096846 710127784 999997287 4824069 999999286 4822828 999999843 7478026 999999936 7451352 999998169 195566544 999999746 195564971 999998169 91007779 999999746 91006206 992085305 719751958 992087409 719750779 999994927 29980242 999997420 29979247 999999410 230622740 999999909 230617769 993340834 700596049 993344313 700595336 978024186 715857511 978027399 715856739 999023562 4954330 999024887 4952458 993162226 710111919 993163844 710110386 984010792 548459369 984011662 548456518 999154980 81582133 999155941 81579552 999999946 773916472 999999975 773830947 992067982 719739909 992069751 719738507 993335658 700622937 993341145 700622485 999999979 655537989 999999997 655400208 999983121 135205492 999984865 135204070 999977182 133271438 999979298 133270266 999999435 774720569 999999752 774712746 999987362 30745841 999988742 30744044 977334286 715082440 977335833 715080837 999999975 904341822 999999982 903987567 999996307 651234635 999997674 651232821 999999969 714940364 999999993 714837043 984072177 548448752 984073987 548447382 983651029 548900232 983651869 548897280 978683847 715738493 978685710 715737162 999999996 965541414 999999997 963061808 999999948 139610773 999999959 139385356 999999435 777565449 999999752 777557627 977322527 715066644 977324361 715065292 999998060 56650377 999999365 56648477 999994156 225449850 999994326 225435265 999993032 624889715 999994201 624887594 999990808 16014161 999991419 16010103 978024435 715745292 978026360 715744004 978010747 715808468 978019039 715808169 999998292 624614844 999999476 624612750 999999435 774624134 999999752 774616313 999999435 774059251 999999752 774051430 999994596 625143619 999996307 625142170 999991537 16286966 999993854 16285896 999999542 29308284 999999837 29299880 999997500 11031415 999999144 11029907 999994405 24784888 999997374 24784053 999999598 18230206 999999829 18219474 999999410 230110798 999999909 230105830 993343124 700609110 993344780 700607613 999999476 622807217 999999484 622497343 998991834 91966663 998992460 91962703 999976698 78068558 999978397 78067099 993134423 710119032 993136839 710118006 999974756 78124101 999976839 78122911 999999997 671166730 999999998 668687968 999999994 20767643 999999995 18288998 999999894 5521174 999999965 5486264 998750896 196294496 998751608 196291015 999999894 5002053 999999965 4967145 999981420 9721635 999982629 9719585 999999144 8376592 999999638 8371575 999994230 11031415 999996051 11030054 999996307 651095562 999997674 651093749 999996307 650794398 999997674 650792585 999999605 26659414 999999895 26650868 999989088 78124655 999990505 78122906 984085675 548956309 984086894 548954276 999999999 982055299 1000000000 979577097 999993257 81537970 999994661 81536205 999983098 81516357 999986041 81515515 999999605 30299237 999999855 30289325 999999435 774593364 999999752 774585547 999999435 772802703 999999752 772794886 999999435 734159618 999999752 734151801 999999944 619014124 999999971 618922347 999999989 158911443 999999990 156433545 978095776 716020632 978099189 716019906 999972162 78117125 999974193 78115905 993351505 700654819 993353361 700653484 999993223 133231177 999995057 133229826 998739860 196289974 998741828 196288715 999991537 20216206 999992545 20213748 999999925 648332379 999999979 648286499 999998169 91524493 999999746 91522922 992047975 719873206 992049935 719871942 992047975 719856237 992049935 719854973 999997827 4335222 999999286 4333524 983642740 548935940 983644048 548934046 999999329 774881536 999999435 774858165 983641449 548948744 983642823 548946941 999999925 646144543 999999979 646098667 999999948 180729041 999999959 180503834 999993821 20112224 999995338 20110591 999981420 10819796 999982629 10817747 983768134 548540323 983770388 548539224 999999946 734072455 999999975 733987037 999993032 624941531 999994130 624939275 999999435 720061973 999999752 720054159 999999999 199182613 1000000000 196705608 978100282 716020422 978102367 716019234 999995638 133264912 999998022 133263873 999999969 706138092 999999993 706034885 999027433 4977101 999027988 4972638 999998292 624858143 999999476 624856051 999993327 625066463 999994841 625064827 999998060 60485806 999999365 60483908 999997287 4350314 999999286 4349075 999988794 135190727 999990877 135189538 998850857 196272594 998851645 196269451 999999982 751592779 999999983 749116117 978688596 715807344 978690297 715805888 998975605 91965274 998977306 91963818 983643291 548947180 983645887 548946226 999999286 4639586 999999455 4624932 983835560 548524693 983836956 548522919 999979081 30760237 999980943 30758907 998736477 196271810 998737849 196270005 999999144 8800887 999999638 8795874 999143692 4956546 999144806 4954323 999990808 24039233 999991419 24035180 992092600 719740308 992093975 719738507 984084488 548564959 984085682 548562885 998835414 196276503 998838430 196275682 984082241 554482137 984084093 554480800 999999991 231305515 999999992 228829414 999999598 16334949 999999829 16324230 999999329 725705900 999999435 725682541 999981420 10191623 999982629 10189575 999993235 20153652 999994609 20151850 999999144 9666753 999999638 9661741 999998169 195858780 999999746 195857210 978109597 716023867 978110288 716020284 999999149 25112006 999999314 25097001 999993750 624961660 999995313 624960076 999998292 624078053 999999476 624075962 999998292 623449005 999999476 623446914 979490011 713839019 979492118 713837844 998741439 196279163 998743393 196277896 983835602 548517950 983837161 548516362 999995007 135239446 999995801 135236328 999996307 657120684 999997674 657118873 999996307 650340541 999997674 650338730 999987911 26685376 999989734 26684018 999999948 81556628 999999959 81331573 999999975 911477622 999999982 911123965 999998060 63406802 999999365 63404905 999999410 228563238 999999909 228558277 977993565 715739212 977994382 715736182 993098704 710157712 993100550 710156371 999999969 705184189 999999993 705081045 999991793 134203847 999993974 134202712 999991419 17274968 999991537 17253990 999999946 732251641 999999975 732166283 999994156 229475466 999994326 229460905 999977031 78120502 999977764 78117125 993225592 700596450 993227042 700594743 993091857 710175436 993092956 710173184 999999822 13988080 999999980 13972416 984100481 548850770 984101664 548848678 999999969 704065711 999999993 703962593 999981420 10550379 999982629 10548332 999999948 148036816 999999959 147811836 999998840 30777020 999999605 30773785 999984015 81152937 999985642 81151416 978107374 715879403 978109866 715878410 999999884 650346192 999999925 650285838 999999996 796223908 999999997 793749450 993227923 700612982 993229893 700611726 999998060 60100509 999999365 60098613 999996307 657864089 999997674 657862279 999996307 657541530 999997674 657539720 999120173 81560288 999121787 81558755 999999971 631268427 999999983 631062242 999999955 215969724 999999976 215851906 999999884 642028476 999999925 641968131 999994544 30204395 999996279 30202969 983974980 554607125 983975869 554604342 999999598 16017678 999999829 16006968 999994156 226631674 999994326 226617121 978118164 716019373 978119718 716017781 999990808 15616528 999991419 15612479 984009049 548450199 984011738 548449279 984098496 548725618 984099859 548723803 984079149 548704149 984080247 548701896 993096753 710183626 993098388 710182113 999999948 173329225 999999959 173104339 984091783 548563758 984093475 548562296 999996625 11007252 999997929 11005355 999999969 681441363 999999993 681338295 999999789 715224933 999999932 715207635 978110067 716006302 978111142 716004001 999999837 29424421 999999983 29407479 999978928 135186032 999980190 135184072 992079798 719752381 992082084 719751299 999993032 624839324 999994655 624837800 999999975 848119970 999999982 847766621 984043410 554480035 984047299 554479399 999991419 23739071 999991537 23718110 992122973 719879691 992124117 719877529 999993032 625364863 999994936 625363564 999989395 80993394 999991491 80992214 999999946 749369064 999999975 749283779 999008435 4962732 999010436 4961496 999999435 776363714 999999752 776355912 999999989 170161600 999999990 167688383 999999455 5139566 999999607 5123295 999994156 227431292 999994326 227416744 999999923 209774596 999999955 209697311 999152404 91966663 999153517 91964441 999988904 78093937 999990160 78091968 983657601 548950533 983659334 548949106 978683847 715801918 978684810 715799350 999998060 56673885 999999365 56671990 993355162 700664340 993356450 700662420 999999435 720510408 999999752 720502607 999999997 845857498 999999998 843384611 984016284 548451981 984018225 548450707 999999948 131893150 999999959 131668347 999994156 223367055 999994326 223352509 999999455 4345537 999999607 4329269 999998169 195454422 999999746 195452854 999990808 16241543 999991419 16237496 999999730 6300525 999999894 6285448 999999605 11059107 999999836 11048403 999991843 78087373 999994124 78086289 999991039 135208458 999992097 135206121 999984468 81508100 999985689 81506075 984081402 548834906 984083119 548833466 999999144 10159885 999999638 10154880 993363887 700631401 993366625 700630498 999999948 161985645 999999959 161760881 999999542 27651082 999999837 27642701 999169281 4840066 999170343 4837738 984085993 548959239 984087739 548957823 999996448 10903410 999998378 10902129 999993032 625312807 999994965 625311528 999999955 205334860 999999976 205217133 993225592 700594096 993227042 700592391 977363161 715069188 977364879 715067749 999998292 624818454 999999476 624816366 999998292 624556254 999999476 624554166 999997954 4583748 999999286 4581892 999999789 717388182 999999932 717370894 993340834 700597820 993342263 700596090 992052597 719754999 992053919 719753129 993131772 710127369 993133790 710126144 999999144 8401979 999999638 8396975 998749836 196290217 998750883 196287856 999991537 20167282 999993364 20165929 983649100 548908434 983650953 548907100 999981002 133294337 999981952 133291735 993094676 710180538 993095708 710178143 984050856 548463622 984052481 548462101 999999982 193747169 999999988 193335237 983770879 548547435 983772153 548545495 999996307 658042266 999997674 658040458 999996307 651542567 999997674 651540759 993162905 710135632 993163904 710133158 999999717 12331457 999999822 12307921 999981420 10408894 999982629 10406850 999999944 628474744 999999971 628383220 999971889 80993258 999974256 80992214 984084462 548467113 984089834 548466653 999999410 230746945 999999909 230741993 998863876 196260896 998864885 196258447 999999435 734717558 999999752 734709763 999998292 623876383 999999476 623874296 984092541 548544070 984093832 548542156 992134529 719855681 992135299 719852472 999997287 5052194 999999286 5050958 999130915 81574272 999131821 81571545 999991537 18996425 999995338 18995775 999995979 24781217 999997056 24778923 992117770 719844293 992120171 719843264 999997630 24728112 999998754 24725914 999999969 714608073 999999993 714505134 999991419 23083918 999991537 23062982 993367238 700596778 993368449 700594738 999998060 63426948 999999365 63425055 999998060 56136363 999999365 56134470 999999882 35060900 999999997 35039419 999999329 723871665 999999435 723848361 993370298 700624952 993371983 700623486 993328767 700619273 993330137 700617470 999999955 221757849 999999976 221640228 999999884 657151824 999999925 657091580 999981420 10312790 999982629 10310747 978687020 715770717 978688322 715768820 999999598 24487790 999999829 24477098 999998292 624343607 999999476 624341521 999978459 133254655 999980316 133253325 993228657 700606372 993230833 700605237 978111557 715876271 978113876 715875206 999999948 128229184 999999959 128004671 978112517 715992638 978113688 715990529 999999983 723509279 999999985 722274472 999187870 4831001 999189585 4829561 993371413 700635544 993373025 700634012 999999410 227328259 999999909 227323310 999995798 134196064 999997261 134194376 999999919 206640943 999999923 206023617 978028025 715864661 978030397 715863620 999999909 226387627 999999919 226140716 999145975 81580601 999147631 81579110 999994156 228473866 999994326 228459342 998735894 196282803 998737617 196281370 999999988 172876989 999999989 170407989 999994156 225836109 999994326 225821586 999999956 17767851 999999970 17591501 999996307 657989825 999997674 657988019 999985190 80953791 999987232 80952582 999981420 9979520 999982629 9977478 999999996 660560738 999999997 658092007 999998292 624495203 999999476 624493118 984088760 548519855 984090257 548518206 999990463 64089197 999992814 64088147 999990808 16443904 999991419 16439864 999986929 80960007 999990003 80959204 998870991 196276432 998871994 196273971 999999955 222853027 999999976 222735486 999995501 135251915 999996987 135250254 999999598 23667849 999999829 23657164 999149966 91964694 999151797 91963346 999999987 633274083 999999990 632451414 999998169 195506470 999999746 195504905 999998169 91133619 999999746 91132054 978107697 715994765 978109764 715993571 999998182 24941538 999999275 24939280 998737538 196284681 998739388 196283347 999998840 30791376 999999605 30788150 978111947 715894786 978116060 715894186 999998060 63859937 999999365 63858046 999998060 56620322 999999365 56618431 999993513 30061964 999994981 30060283 999999955 202753621 999999976 202636113 999985656 30778120 999986950 30776213 999999996 830396713 999999997 827929116 999999975 829691430 999999982 829338917 999981420 10740843 999982629 10738802 999986488 133256280 999987566 133253991 999999435 774313709 999999752 774305925 999999946 738385465 999999975 738300378 983753716 548520509 983755466 548519099 999998292 624625301 999999476 624623217 978686729 715758633 978688070 715756793 999996307 657545115 999997674 657543310 999996307 651516455 999997674 651514650 999999975 951776872 999999982 951424387 983761645 548488765 983762731 548486493 999999638 8142367 999999843 8130331 983755186 548495863 983756618 548494140 978090830 716041540 978091359 716036876 999999710 3324797 999999947 3314387 999981952 133287495 999983844 133286191 999987050 133293294 999988385 133291446 999163150 4964744 999164772 4963223 999999930 787988086 999999951 787870607 999985148 30743114 999986962 30741754 992138149 719887202 992139613 719885517 999999144 10484725 999999605 10479374 999999930 788599880 999999951 788482421 999989564 133280077 999991271 133278632 999990808 24447406 999991419 24443369 999999435 772717792 999999752 772710011 984006599 548456464 984008422 548455111 993141343 710133685 993142619 710131752 999999542 28037993 999999837 28029632 999998060 56362403 999999365 56360513 993347249 700651358 993348815 700649783 999998169 195291160 999999746 195289596 977307213 715060815 977310537 715060073 993117402 710113474 993118507 710111242 984084202 548960201 984085732 548958589 999994156 225701194 999994326 225686686 999981420 9590904 999982629 9588864 978015943 715843994 978017078 715841821 999994665 625402023 999996307 625400521 992118234 719878742 992119726 719877089 999996671 24852560 999998225 24850973 999997287 4663020 999998596 4661136 999994877 133275082 999996939 133273886 999995157 10876585 999997823 10875660 978577385 715820957 978577993 715816901 993339395 700622456 993340747 700620632 999999995 182673023 999999996 180207053 984016064 548461073 984017563 548459428 999165718 4834574 999167625 4833281 999993513 30018622 999996836 30017880 993117542 710132543 993118921 710130755 983642212 548939795 983643211 548937327 999999598 23428898 999999829 23418225 993333820 700597604 993335340 700595982 999971932 81171464 999974583 81170534 999999841 649202388 999999884 649145053 993119785 710128944 993121048 710126992 993339338 700593702 993340397 700591374 999999435 777573226 999999752 777565449 998851645 196276581 998853600 196275320 999006874 4973180 999008092 4971156 999999975 743431415 999999978 742609698 999998060 56277375 999999365 56275486 993241015 700607758 993242168 700605620 999999923 199764419 999999955 199687385 999998292 624014824 999999476 624012742 999999144 7285283 999999638 7280293 999999710 1875986 999999947 1865585 993097888 710133548 993100550 710132622 999993216 81151416 999994590 81149622 999990808 16125750 999991419 16121716 999173295 4830520 999175594 4829448 999999925 651706240 999999979 651660601 999999841 649065816 999999884 649008506 999999410 230020144 999999909 230015206 999999410 228003921 999999909 227998983 999981420 10980212 999982629 10978174 999981420 10006195 999982629 10004157 999999982 173209461 999999988 172798818 984080197 548843197 984081502 548841309 999998060 62915222 999999365 62913334 983745794 548497614 983748415 548496674 978619919 715740172 978621245 715738314 998747747 196289830 998749544 196288459 999984942 134197229 999986158 134195203 999999149 26224133 999999314 26209202 999127935 81578153 999130313 81577117 999999925 651495934 999999979 651450313 993129632 710119267 993140115 710119032 983979489 554645012 983980951 554643327 999999598 17985300 999999829 17974636 999991419 21284058 999991537 21263182 999996307 657609409 999997674 657607607 999999925 647387830 999999979 647342213 999120690 91966663 999122264 91965098 984092430 548488334 984093879 548486634 999989609 135262293 999991058 135260593 999993576 20314385 999995338 20312987 999986489 81545328 999988050 81543750 999999948 136907298 999999959 136683369 999999925 655033088 999999979 654987474 998913956 91966663 998914578 91962703 978090830 716054032 978094218 716053305 999999946 736659974 999999975 736575041 999999841 656157831 999999884 656100551 984051649 548454813 984052751 548452578 999990808 15523739 999991419 15519708 999124056 91965040 999125894 91963700 999999970 22548801 999999978 22240939 999991419 17641486 999991537 17620614 992140395 719867123 992141590 719865062 999978918 81158563 999980391 81156891 999999909 204587041 999999919 204340756 999999998 748226755 999999999 745763918 979496010 713845380 979498351 713844328 999999598 22202119 999999829 22191458 978118558 716015250 978119718 716013127 999999999 131573056 1000000000 129110397 983978436 554616048 983979908 554614375 999997703 196084051 999999045 196082216 999999410 228729530 999999909 228724595 978586927 715742621 978588572 715741124 999999944 623265991 999999971 623174786 999998060 63581749 999999365 63579862 999998060 60177188 999999365 60175301 993236849 700617914 993238665 700616558 999999909 202897818 999999919 202651570 999999435 774434362 999999752 774426594 992135827 719881995 992137627 719880627 984091247 548574804 984092204 548572231 999999638 9378406 999999843 9366395 992077553 719753558 992079563 719752333 999012792 4959916 999014509 4958482 999999882 34167862 999999997 34146452 999999931 619678843 999999944 619489449 999999144 9690936 999999638 9685952 984080070 548450937 984081604 548449332 999999542 27926064 999999837 27917718 999997208 30048828 999998566 30047015 999994887 30115349 999996081 30113287 999996803 9054926 999997880 9052640 977971541 715740230 977972985 715738525 999992405 26677239 999993975 26675671 984078557 548457527 984079655 548455285 998748246 196298314 998749603 196296500 999995958 24862807 999999367 24862085 999986992 135221844 999988297 135219958 999998060 62896487 999999365 62894601 999999717 12905296 999999822 12881856 999112515 91965360 999113877 91963553 999990808 16295722 999991419 16291694 978110746 716051402 978112642 716050104 999999329 777264333 999999435 777241116 984090168 548841031 984092266 548839858 999999923 221786088 999999955 221709186 999999995 707904026 999999996 705443181 999999598 20567318 999999829 20556665 998738186 196291920 998739860 196290450 978113909 715980456 978115687 715979072 999999605 30677186 999999855 30667343 998982602 91964543 998984324 91963114 999999314 25114087 999999605 25105631 999999884 649165780 999999925 649105766 999999975 963279399 999999982 962927905 993240846 700591356 993242111 700589411 999996357 78096460 999997599 78094479 999994262 11115116 999996340 11113932 999999982 151932867 999999988 151522809 999992356 20290954 999993555 20288902 999997739 24775920 999998905 24773810 992048026 719755014 992049607 719753458 999999882 37655665 999999997 37634274 999999836 10714510 999999981 10697545 977354469 715067040 977356056 715065490 999999946 743684221 999999975 743599399 999023712 4944969 999024909 4942914 999113798 81564420 999117056 81563665 993120689 710119032 993121799 710116816 999999979 651631732 999999997 651495079 999999925 650285231 999999979 650239682 978579593 715787764 978581567 715786518 999991419 20424603 999991537 20403759 999999946 754720412 999999975 754635599 999999314 25463376 999999605 25454924 999993032 624766107 999996307 624765356 993155197 710115384 993157637 710114376 984074368 548847894 984077119 548847000 999999999 837294999 1000000000 834835648 999999841 642915665 999999884 642858471 998887527 2783 998888411 1 992121558 719878435 992122973 719876697 999997076 133229587 999998169 133227337 999996307 658015809 999997674 658014010 999996307 650600580 999997674 650598781 999994156 224590180 999994326 224575714 999112212 81582230 999113518 81580347 999998292 623953030 999999476 623950953 993367122 700687307 993368013 700684547 999994086 10945852 999998226 10945258 999986330 133283788 999988359 133282576 999999710 3159160 999999947 3148784 999179283 4827092 999180231 4824498 977339214 715060092 977340468 715058131 999189267 4814023 999190802 4812421 999999995 148487223 999999996 146028341 984085376 548854679 984086837 548852996 999108055 81561021 999109894 81559684 999999989 722348318 999999990 719889594 999999435 775558259 999999752 775550503 999999923 217422668 999999955 217345836 999998060 63389723 999999365 63387839 999998060 60293540 999999365 60291656 999998060 56526826 999999365 56524942 999999995 218281462 999999996 215822849 999999975 920038054 999999982 919686832 999999144 10774674 999999605 10769341 999994076 16257266 999995338 16255318 999994156 224045100 999994326 224030639 999991537 16378475 999994353 16377602 984101512 548710917 984102217 548707430 992073615 719753406 992074846 719751409 992072384 719753406 992073615 719751409 999988742 30745841 999990110 30744044 984090332 548469953 984091744 548468212 984095006 548523782 984095926 548521110 993126598 710118091 993128526 710116816 999994156 221601204 999994326 221586744 999999975 929362661 999999982 929011497 999990808 16613654 999991419 16609631 999994156 224575714 999994326 224561255 999998292 624481451 999999476 624479375 977957699 715789160 977960409 715788253 999981420 10128957 999982629 10126924 999996235 30164168 999997852 30162648 993161894 710113682 993163735 710112347 984087905 554476764 984088830 554474107 999999969 669687941 999999993 669585540 998832145 196264600 998833477 196262755 999994156 229131817 999994326 229117361 999999435 772232978 999999752 772225226 999999969 667637753 999999993 667535362 999998060 63308281 999999365 63306398 999998060 60310790 999999365 60308907 978614601 715747913 978615856 715745955 999979721 80993931 999981767 80992730 999991419 18664281 999991537 18643457 999998840 30128162 999999605 30124950 999999144 10824138 999999605 10818808 978501058 716049780 978501962 716047062 999984145 78133796 999985504 78131988 999999435 773304409 999999752 773296658 993344313 700596276 993345634 700594416 999999974 863564086 999999975 861107063 999998169 195525331 999999746 195523773 998862131 196271374 998863876 196269966 999999476 629199340 999999484 628892221 984095275 548958571 984096831 548956992 999994123 625063718 999995367 625061743 999999975 897785709 999999982 897434725 984085379 548952606 984087739 548951565 999999435 774386382 999999752 774378632 999999983 618582158 999999987 617967973 977310900 715076478 977312193 715074578 999999329 725823980 999999435 725800804 999991419 17789390 999991537 17768571 999999884 640799469 999999925 640739551 999999995 81200556 999999996 78744001 999999329 728008848 999999435 727985673 999991419 22094826 999991537 22074008 999996307 651496514 999997674 651494717 993337070 700614356 993337811 700611041 999976328 135210917 999977921 135209375 999999822 12602167 999999980 12586621 999999975 893479998 999999982 893129113 983970302 554655272 983972342 554654068 999998060 62831022 999999365 62829140 999998060 56652259 999999365 56650377 999999329 775564115 999999435 775540946 999999329 726970037 999999435 726946868 992113414 719883942 992114786 719882152 998753913 196310745 998754517 196306679 999994314 24894688 999996023 24893251 999999991 220737288 999999992 218281463 999996196 10933046 999999144 10932213 993337864 700594306 993339338 700592640 999998292 624444000 999999476 624441926 999999975 894852619 999999982 894501823 978101929 716012902 978103395 716011227 999995165 29969808 999997225 29968616 999999730 5851343 999999894 5836371 999999944 639121751 999999971 639030812 999999710 3775127 999999947 3764767 984088872 548559624 984090577 548558184 999992663 20237182 999994523 20235862 999999948 11208056 999999978 11126217 999999822 14714640 999999980 14699101 999186951 4810295 999188643 4808844 998739745 196301516 998740864 196299322 978108343 715881015 978109866 715879403 999999367 24815013 999999638 24805954 999999841 649008506 999999884 648951414 999994217 625383652 999996026 625382295 984081792 548857187 984084173 548856156 999973974 78122501 999977031 78121698 999162522 4966941 999164772 4965850 999976206 81170055 999978335 81168902 999987256 81175694 999988101 81172789 992089792 719739633 992091972 719738507 999999329 722378788 999999435 722355631 999994156 222443848 999994326 222429409 999999925 658026022 999999979 657980566 999999948 117966637 999999959 117743497 978492593 716051207 978494484 716049909 999121284 81581012 999122956 81579544 999999931 617776349 999999944 617587545 999998292 624359709 999999476 624357636 999000423 91964078 999002208 91962703 999991419 24140995 999991537 24120196 999981420 10766643 999982629 10764613 999981420 10108330 999982629 10106300 999973870 81181333 999975504 81179831 993348063 700649783 993348800 700646453 993342292 700604889 993343397 700602668 999979111 135244363 999980253 135242214 993359303 700623978 993360323 700621572 998759122 196312427 998760581 196310745 999999996 899093655 999999997 896639768 978688948 715770135 978690297 715768316 999999841 643517711 999999884 643460646 999990808 15852468 999991419 15848452 999996307 657504327 999997674 657502532 999996307 651474321 999997674 651472526 999993899 30177856 999995807 30176570 999999986 766423488 999999988 765196656 999999410 228178636 999999909 228173719 999999410 227603663 999999909 227598746 999986467 30765178 999988309 30763846 993134603 710122625 993135869 710120687 978106517 715968182 978107656 715966028 999998060 56550698 999999365 56548818 979522697 713841710 979524703 713840487 999994156 225534004 999994326 225519573 984078557 548458924 984080313 548457527 999185125 4815611 999185894 4812421 998757185 196262409 998758458 196260482 999999948 140251495 999999959 140028489 999999923 227475086 999999955 227398428 999995375 625093983 999996307 625091351 999994742 30127110 999995857 30124910 999985132 80975103 999987107 80973861 993096712 710139986 993098612 710138695 978116534 715880735 978118643 715879572 999993032 625402023 999994665 625400521 999984420 78128786 999985922 78127153 993369450 700627336 993370571 700625148 999979840 80976511 999982712 80975657 993369799 700601325 993371313 700599705 983977207 554626122 983979166 554624870 992111312 719849460 992113410 719848291 999999314 25189161 999999605 25180733 999140265 4951524 999141209 4948926 978489205 716052637 978490812 716051111 999999605 25154737 999999895 25146281 999999329 774720697 999999435 774697563 999998060 62954525 999999365 62952646 999999930 794303677 999999951 794186912 999998292 624080124 999999476 624078053 999981564 80966218 999983308 80964812 999999542 27856975 999999837 27848663 999993414 10994786 999994594 10992708 999189846 4835507 999190949 4833284 999999829 22410973 999999899 22375945 999996640 30218625 999997590 30216044 999999948 92187765 999999959 91964861 999999991 196019636 999999992 193567733 999999946 720489904 999999975 720405357 999999999 914755634 1000000000 912303849 993335479 700610258 993337070 700608717 999999882 35361969 999999997 35340650 999993249 64094049 999994725 64092388 999999976 223665669 999999984 223359217 999999410 229928663 999999909 229923750 999999978 737645488 999999980 736419745 999999435 773273506 999999752 773265773 978113258 716041587 978115188 716040317 999999969 717858307 999999993 717756180 999999435 773197380 999999752 773189648 999998292 624095666 999999476 624093596 999991537 20205498 999994297 20204610 978579920 715786518 978581081 715784407 999971889 78099902 999973201 78098034 999998060 62997803 999999365 62995925 998946184 91964271 998948330 91963129 999999997 213261244 999999998 210810518 978091562 716051946 978092986 716050225 978116534 715879572 978118643 715878410 999998169 90888644 999999746 90887090 999999975 754912791 999999978 754095908 999999410 230201344 999999909 230196433 999999410 228391416 999999909 228386505 999987033 78117694 999988613 78116143 978090830 716027859 978092468 716026363 984086400 548471283 984088272 548469974 999999435 774914141 999999752 774906411 999995330 30151722 999996753 30150000 999999455 6054412 999999607 6038291 999994156 221524410 999994326 221509996 993347206 700662670 993348209 700660227 999999925 646041344 999999979 645995968 984069991 548715542 984075012 548715054 999157437 4962924 999159992 4961965 999992131 81143715 999993895 81142326 983655602 548957851 983657142 548956260 999994156 221449814 999994326 221435402 984102217 548710917 984102826 548706894 999999829 18074112 999999899 18039112 983751103 548528272 983752890 548526901 999999717 14970382 999999822 14947049 999991419 16619492 999991537 16598730 999999979 7822961 999999985 7414642 999148752 4961128 999150918 4959997 999999542 26814919 999999837 26806615 999999976 201950728 999999984 201644520 983978404 554683441 983980022 554681927 978627759 715739059 978628809 715736726 978110946 715918525 978112192 715916559 999983190 135249075 999985383 135247958 999999975 809817232 999999982 809467292 999999598 18582839 999999829 18572235 999990808 15948409 999991419 15944400 999998060 60300752 999999365 60298875 999981420 10068256 999982629 10066230 999999946 740842636 999999975 740758173 992127063 719859243 992128562 719857609 999999144 9769038 999999638 9764080 999999993 868802095 999999996 867985719 999999149 25087128 999999314 25072285 999998169 195656161 999999746 195654608 999998169 195412604 999999746 195411051 999993032 624973813 999994690 624972336 999997130 24635857 999999108 24634619 999999944 631793886 999999971 631703192 999999638 9555252 999999843 9543307 978621245 715744045 978621879 715740183 999148433 81563728 999150167 81562316 999991441 26687961 999993570 26686811 999999991 82384173 999999992 79935850 999996307 656670087 999997674 656668296 999996307 650800051 999997674 650798260 999981420 10774243 999982629 10772218 999998060 63659924 999999365 63658048 999998060 63302648 999999365 63300772 983643066 548907525 983644915 548906201 998832188 196253661 998833093 196250956 999998840 30572367 999999605 30569167 993328203 700613338 993329732 700611737 999999991 187634991 999999992 185187070 993361540 700632669 993363887 700631626 999999822 15115593 999999980 15100100 999999144 7192964 999999638 7188009 999999843 10213721 999999936 10187401 999999837 29904937 999999983 29888172 993324589 700618656 993325961 700616872 999996860 10949053 999998384 10947447 999998169 196011642 999999746 196010090 999005201 4959210 999007434 4958114 999994156 225333084 999994326 225318688 999999925 639510488 999999979 639465168 999084427 91963627 999087330 91962784 999979376 30782202 999981119 30780798 999994156 223096291 999994326 223081896 992126644 719867650 992128036 719865892 999992683 80986832 999993584 80984116 984090222 548956369 984091706 548954720 999999410 228299011 999999909 228294107 993230509 700620315 993233486 700619493 999993000 16335029 999994967 16333785 999996307 657048205 999997674 657046415 999998060 56581519 999999365 56579644 999999329 729962868 999999435 729939785 984067270 548852123 984068736 548850454 999999789 719722093 999999932 719704983 999999841 654118006 999999884 654061106 999999410 227745551 999999909 227740648 999997605 30093532 999998840 30091551 978114555 715888119 978115984 715886407 984091645 548585593 984092824 548583518 999987907 78127487 999989297 78125727 999999948 72924626 999999959 72702235 983642294 548931434 983645314 548930624 999991757 20136792 999993207 20135105 999990739 30809583 999992446 30808150 984094960 548581391 984097312 548580351 998840627 196260328 998841899 196258405 993348761 700591193 993350314 700589618 999999435 774195850 999999752 774188134 999994156 221472196 999994326 221457808 999999946 739109768 999999975 739025425 999998169 91228706 999999746 91227155 999998169 91024756 999999746 91023205 999995041 10896435 999997312 10895358 999999605 26512630 999999895 26504196 999105079 81586417 999107143 81585232 999999605 11002478 999999836 10991890 999999329 777171743 999999435 777148670 983979383 554578530 983981416 554577327 978118946 715912853 978119718 715909685 999999996 160724492 999999997 158278807 999989524 81530568 999991696 81529442 998747560 196276640 998749501 196275380 984099069 548589942 984100262 548587892 999999927 26024287 999999943 25871435 999996307 651528767 999997674 651526978 999996307 650557762 999997674 650555973 999158946 4961507 999159992 4959169 979511816 713837959 979513483 713836492 984093213 548518206 984094612 548516458 992065272 719741464 992066099 719738507 999999144 7530801 999999638 7525851 978106036 715974895 978108417 715973868 999999995 78744001 999999996 76298763 999123234 81582630 999124306 81580349 999155936 81567648 999158131 81566534 984066214 548858297 984067535 548856446 999999955 203742706 999999976 203626275 999993893 30025091 999995262 30023305 992112014 719855691 992112503 719850691 984087521 548542284 984089477 548541034 999999994 728284140 999999995 725839143 999999286 4744272 999999455 4729805 983836837 548549489 983838209 548547707 977355192 715058583 977358655 715057877 999994397 624834652 999996307 624833372 999999605 26625419 999999895 26616989 999999710 966551 999999947 956236 999981420 10293704 999982629 10291682 984066214 548577210 984068364 548576073 999996730 24733728 999998351 24732220 999999993 884369567 999999996 883554761 999998169 195373461 999999746 195371911 999998169 90896361 999999746 90894811 993363887 700629555 993365522 700628060 998908081 2783 998910550 1793 999996307 656939416 999997674 656937628 999999710 1711470 999999947 1701157 983651823 548932202 983653598 548930825 992121238 719755014 992122351 719752818 999993630 9086652 999994726 9084422 999981500 30810214 999982683 30808148 984079349 554473078 984081023 554471618 998749603 196304296 998751269 196302829 999999978 761312517 999999980 760090512 999990808 16559537 999991419 16555537 999993881 133264012 999995638 133262621 999999998 156197118 999999999 153753138 999991537 18949602 999993274 18948195 977959149 715741199 977961201 715740008 978634279 715747913 978636122 715746587 999996237 11108833 999997465 11106843 999999993 780613484 999999996 779798912 999998226 10946439 999999144 10943777 999999956 22512576 999999970 22338026 978094570 716039250 978096931 716038215 992080237 719748319 992082084 719746996 999979465 80980023 999980812 80978209 979529577 713845436 979533165 713844755 984064079 554484235 984065608 554482637 999999144 7363541 999999638 7358595 999999975 964698706 999999982 964349663 998738000 196304711 998740458 196303717 999993032 624979218 999996307 624978472 999972878 78134952 999978695 78134532 999985132 80978096 999986618 80976452 983642823 548949535 983645490 548948619 999998060 60142730 999999365 60140858 993099158 710127307 993100550 710125552 984066214 548845263 984068374 548844132 999999314 26330399 999999605 26322004 984088498 548954618 984090222 548953201 999999329 732351841 999999435 732328795 999999982 120600867 999999988 120193723 999999144 10864998 999999605 10859699 999997287 4735478 999999286 4734256 999990808 23305671 999991419 23301673 999998169 91556265 999999746 91554716 978090830 716050225 978094218 716049504 999994024 20219895 999995338 20218036 999998292 624180253 999999476 624178190 977960409 715791337 977961201 715788253 993139103 710118486 993140190 710116239 999999435 735504868 999999752 735497163 999994081 30095081 999995492 30093350 999999974 860283997 999999975 857841570 984092204 548573994 984094476 548572919 999999710 74189 999999947 63884 984076249 548463677 984077525 548461763 984061545 554485495 984062817 554483575 978595749 715742687 978597339 715741151 999999975 791235937 999999982 790887051 999981420 9888534 999982629 9886514 999999710 3715049 999999947 3704745 999141109 4975114 999142703 4973582 999999923 221532298 999999955 221455986 999162880 4947500 999163735 4944644 984059427 548466270 984060043 548462306 993371909 700627336 993373025 700625148 993098325 710154707 993100452 710153559 999999992 200587396 999999993 198145604 999999979 654545414 999999997 654409760 998752955 196264141 998754968 196262928 999999822 14291461 999999980 14276007 999998060 63712497 999999365 63710626 999998060 63261844 999999365 63259973 984094237 548541745 984096840 548540807 999999410 227891781 999999909 227886888 999999710 1600528 999999947 1590226 999994156 226381314 999994326 226366952 999999975 854610106 999999982 854261329 999999969 715125866 999999993 715024142 999999895 26226599 999999927 26150306 993092116 710150284 993093670 710148713 978027399 715852084 978029229 715850750 999999435 774540917 999999752 774533216 999999975 975145930 999999982 974797189 993365499 700686051 993367122 700684547 999999990 749199595 999999991 746758616 977323519 715076478 977325538 715075269 999999975 978753479 999999982 978404781 999999843 8230751 999999936 8204505 983833433 548487942 983834936 548486318 983977524 554695156 983979589 554693974 999997287 5025518 999999286 5024297 978116308 716011060 978117670 716009268 999995929 24652820 999997180 24650869 999999909 225078809 999999919 224834739 999994124 78087373 999995826 78085939 999995324 9042904 999998192 9042053 999999435 772837842 999999752 772830143 993159657 710126038 993160870 710124026 993364390 700677994 993365795 700676257 999999982 152339597 999999988 151932867 984090352 554485495 984091704 554483690 999999476 635733838 999999484 635428795 999990808 16086258 999991419 16082264 993364390 700684547 993366087 700683109 999993975 135193284 999995672 135191846 999999598 17556348 999999829 17545784 999999542 26907769 999999837 26899497 999973472 81515191 999974040 81510895 983833174 548534821 983834544 548533040 999999955 206619004 999999976 206502818 983658755 548946931 983660197 548945239 999999286 5719400 999999455 5704963 978592576 715743638 978594052 715741985 999995205 625148307 999996307 625146093 999999991 156675906 999999992 154236188 984087739 548961057 984088379 548957245 999999730 5830273 999999894 5815397 999996354 10915058 999997433 10912797 999998840 30071546 999999605 30068357 999995284 24691168 999997002 24689748 999999982 145935500 999999988 145528942 999999998 712261016 999999999 709821714 999999923 209348194 999999955 209271970 999999789 717254498 999999932 717237441 999999882 31853954 999999997 31832744 998746294 196300043 998748415 196298893 999995902 30248260 999997559 30246788 999996929 78103323 999998169 78101356 993368853 700620642 993370623 700619264 999998060 60258958 999999365 60257089 999998060 60005854 999999365 60003985 999999955 208253324 999999976 208137183 978107270 715929096 978108602 715927265 999999975 798616635 999999982 798268223 993158146 710135632 993159527 710133866 984084352 548465553 984085882 548463959 999998840 30783197 999999605 30780009 978594448 715744784 978595611 715742687 999997287 4760144 999999286 4758924 984093952 548847132 984096403 548846137 993333604 700625148 993334707 700622937 999996307 657399048 999997674 657397264 999155936 81563316 999157379 81561626 999999598 19222464 999999829 19211907 999999909 231305515 999999919 231061653 993092344 710111711 993094124 710110341 999999993 990133535 999999996 989320684 999981420 10955444 999982629 10953427 999981420 10953427 999982629 10951410 999981420 10843045 999982629 10841028 999999948 65311851 999999959 65090169 992106126 719843264 992107329 719841237 999999882 36964898 999999997 36943694 977330155 715080346 977331972 715079004 999013765 4968559 999014733 4966040 999999882 37116689 999999997 37095486 999999286 6392494 999999455 6378066 984072360 548835253 984074979 548834322 999999946 758972610 999999975 758888532 999997287 4495361 999998573 4493465 999997287 4408922 999999050 4407539 993354179 700602692 993355731 700601121 998854298 196273413 998855473 196271338 999995662 30064983 999996796 30062833 999994252 18976830 999995338 18974585 999991419 24400299 999991537 24379638 999988178 81526341 999991696 81525648 999994156 227546332 999994326 227531991 999999822 13972416 999999980 13956986 999993032 625107232 999994373 625105414 998860259 196259907 998862120 196258597 983654359 548935985 983655741 548934221 999982844 78109168 999985324 78108185 999998060 60314761 999999365 60312893 999998060 56226979 999999365 56225111 999178607 4813286 999179942 4811460 999001745 4946047 999002781 4943694 993348846 700625148 993351453 700624213 999999144 7762653 999999638 7757719 999999144 7481682 999999638 7476748 999986718 135196940 999988541 135195603 999999930 798169133 999999951 798053071 999999542 29932315 999999837 29924053 999991419 18435275 999991537 18414621 983974338 554652304 983976882 554651346 999999983 620905099 999999987 620295822 999999435 771230206 999999752 771222518 999999899 17803781 999999943 17748393 999999710 481225 999999947 470942 999999923 225720489 999999955 225644332 984091378 548506242 984093270 548504954 998745850 196275380 998747178 196273545 999999607 6668187 999999730 6648375 999999982 88394956 999999988 87988822 999137000 91966003 999138350 91964198 999999822 14047788 999999980 14032367 999999970 18937391 999999978 18632827 999998169 90860200 999999746 90858655 999999969 712398239 999999993 712296720 999999990 746758616 999999991 744322231 977364487 715063748 977365725 715061780 999999960 1798587 999999965 1311318 998990973 4961513 998992223 4959564 984089028 548485162 984091020 548483939 977362534 715059393 977364141 715057877 999981420 10623971 999982629 10621956 983772695 548496029 983773910 548494024 999990808 16455719 999991419 16451732 999996307 657053475 999997674 657051693 999996307 656788471 999997674 656786689 999996307 651555400 999997674 651553618 999188708 4806107 999190949 4805020 999977231 78128786 999979313 78127616 998868259 196262479 998869869 196260966 999999144 7647890 999999638 7642959 999999996 986764880 999999997 984328971 999999598 22668641 999999829 22658096 999999975 921808062 999999982 921460084 984032915 548452215 984033419 548447382 999999993 123841170 999999994 121405357 999185626 4837188 999187075 4835507 978016617 715831485 978017637 715829097 999999933 30239723 999999957 30138233 999997802 10989854 999999144 10988039 977356337 715065241 977357487 715063123 999999841 645231478 999999884 645174834 984069041 548701014 984070792 548699623 993345634 700617603 993346341 700614158 999999956 18527360 999999970 18353390 999999435 777471662 999999752 777463979 999999435 731896645 999999752 731888962 999998292 623748331 999999476 623746274 977340306 715062085 977341528 715060092 999999710 3384722 999999947 3374446 984082781 548726701 984084249 548725042 999982562 30795025 999984762 30793918 999991537 20319352 999992881 20317540 983973072 554616069 983974470 554614327 978688987 715816896 978690297 715815037 984084503 548452445 984086865 548451414 999998060 63319092 999999365 63317226 999998060 56202737 999999365 56200871 978610869 715741299 978612420 715739729 999991419 20546347 999991537 20525711 999994524 625222060 999996215 625220620 993130401 710123513 993133249 710122658 983640931 548942218 983642823 548940931 999999979 643419305 999999997 643284031 999994956 133285235 999996088 133283084 999986557 80970328 999987935 80968561 999164772 4827141 999166061 4825252 999994156 222395719 999994326 222381396 999118808 81585765 999120812 81584550 999999859 11896106 999999922 11857459 999999997 200320038 999999999 199102692 999999410 230874259 999999909 230869380 999997891 24804920 999999034 24802790 999999982 91481191 999999988 91075429 999153491 81580518 999154980 81578883 983972868 554630827 983974645 554629457 999999144 9983075 999999638 9978147 999999944 621122610 999999971 621032446 983637783 548918668 983638467 548915109 979514799 713411307 979524020 713411043 999985140 30805505 999986359 30803508 998865844 196263856 998867143 196261982 993350062 700622117 993351453 700620367 999990808 24081293 999991419 24077309 999999991 198685161 999999992 196250956 999980381 133242135 999984644 133241564 984095528 548715439 984097229 548714008 999994535 81162739 999996545 81161528 999978695 78130193 999980425 78128786 999993434 80948041 999994784 80946238 999985769 133222364 999987042 133220452 999995883 135199130 999997798 135197859 984084790 548567221 984085866 548564959 983756084 548506129 983757172 548503892 999999455 6880410 999999607 6864398 999999730 6162942 999999894 6148102 999974466 135232161 999977257 135231289 999107886 81564792 999109894 81563580 992106069 719742316 992108217 719741183 999999994 209959662 999999995 207525997 993342751 700622937 993343604 700620084 999073745 91965731 999075362 91964226 984083945 548585248 984086091 548584114 998853738 196256518 998854634 196253802 999147886 4947407 999148752 4944597 978621245 715744541 978626151 715744045 983766925 548512343 983768469 548510767 999999329 733671188 999999435 733648232 999999969 686983571 999999993 686882182 999999435 772664100 999999752 772656424 999999435 772615982 999999752 772608306 999055171 91966663 999056487 91964814 999996307 657604334 999997674 657602554 999996307 657543310 999997674 657541530 999999955 197273598 999999976 197157733 999977359 30792841 999979577 30791744 999998292 624586805 999999476 624584750 999999955 219734506 999999976 219618645 999992904 81001609 999994288 80999851 992110827 719748704 992112087 719746773 999991419 22441077 999991537 22420458 998749618 196265562 998750978 196263773 993347584 700673093 993349770 700671980 999999435 771448962 999999752 771441287 999999144 7315657 999999638 7310732 983752057 548538904 983754648 548537965 999999993 994209805 999999996 993398827 999982997 135212691 999983914 135210038 984096964 548533549 984098442 548531903 999991537 16284571 999993777 16283485 999991730 20204270 999993166 20202576 999993268 16361339 999994640 16359566 999978673 30765172 999980285 30763663 992047975 719861236 992049935 719859995 978114859 715878410 978115278 715872605 999999946 736108419 999999975 736024548 998746879 196269188 998747930 196266874 999985249 30751006 999986917 30749548 999999946 755075171 999999975 754991311 999999829 22609531 999999899 22574789 999998292 624710594 999999476 624708540 999993513 30222173 999995164 30220700 999996307 651101170 999997674 651099391 999999982 180648654 999999988 180243347 999992251 78096978 999993742 78095347 999999996 840142230 999999997 837710449 999998169 91212591 999999746 91211049 999999435 775245698 999999752 775238027 993154383 710131694 993155725 710129882 999995142 30035404 999996515 30033633 999999789 713825957 999999932 713808953 998876383 196256477 998877241 196253643 999999286 4860702 999999455 4846314 999989492 80990223 999992683 80989461 999997488 24702906 999998920 24701208 999987577 30807061 999988583 30804644 999999982 759521152 999999983 757089770 999994156 221137555 999994326 221123253 999999993 152639158 999999994 150207843 999999314 26670353 999999605 26661998 999998060 62866369 999999365 62864506 999168968 4807347 999170707 4805949 999999884 648099606 999999925 648040311 999999605 25616521 999999895 25608138 978577978 715747566 978578823 715744689 999999975 950119807 999999982 949772521 998745623 196280778 998747560 196279523 977321279 715073564 977323603 715072518 983978788 554605267 983981416 554604342 999999329 720250268 999999435 720227335 999999982 84419521 999999988 84014392 999993465 81540258 999995459 81539039 984066214 548591840 984067707 548590212 999999598 18160748 999999829 18150226 999999882 35143703 999999997 35122568 999993032 625008772 999994778 625007380 999139664 81586667 999141794 81585526 983749880 548516129 983751181 548514261 999999329 729540525 999999435 729517598 999998039 24828872 999999367 24827042 993227546 700614672 993228984 700612982 999999925 653970383 999999979 653925380 999998169 195898870 999999746 195897329 999998169 195545860 999999746 195544319 999998169 91293127 999999746 91291586 992142300 719847699 992144178 719846405 984053298 548461545 984054618 548459704 999999710 3994987 999999947 3984734 999990808 15974529 999991419 15970552 978001707 715748075 978004184 715747094 999999925 651269867 999999979 651224869 999992607 30763619 999993513 30760937 999993196 81508728 999995048 81507416 999999998 766325747 999999999 763895996 984072098 548585593 984072944 548582721 999992545 78121218 999994699 78120090 999994738 11043349 999995993 11041413 992139984 719847449 992141445 719845786 999999717 14456099 999999822 14432960 999998292 624245549 999999476 624243497 999999971 636180065 999999983 635977622 999997542 24663206 999999026 24661569 978023636 715828410 978025525 715827124 977957699 715780601 977959113 715778883 999987842 133267952 999991517 133267291 999996307 656892522 999997674 656890745 999994156 222679756 999994326 222665467 999999605 26402902 999999895 26394526 999997067 30029187 999998840 30027817 999999329 732526476 999999435 732503561 999999598 21221904 999999829 21211389 999999822 13005142 999999980 12989769 978580697 715759326 978582427 715757922 999999435 776601492 999999752 776593830 999994156 223027071 999994326 223012784 999997287 4501869 999999286 4500654 999997287 4338659 999999286 4337444 999994314 24818748 999995624 24816894 999974155 80969052 999976045 80967767 999998060 60410719 999999365 60408858 992132312 719850408 992133345 719848057 999999909 222481830 999999919 222238972 999998169 195426096 999999746 195424556 998868197 91966663 998869075 91963897 977315149 715078438 977316388 715076478 999999598 20263460 999999829 20252948 999999979 655400208 999999997 655265305 999995807 30177856 999997002 30175824 999999435 772138125 999999752 772130465 999993513 30102657 999994981 30101003 999989037 64087392 999991441 64086382 999999988 113972684 999999989 111544647 984066242 548452987 984067088 548450117 999999969 667986347 999999993 667885185 979515811 713838878 979517286 713837232 999999999 1000000000 1000000000 997572195 999996307 650633409 999997674 650631633 998735777 196303717 998736880 196301516 978105831 715996579 978107697 715995278 999107882 91964892 999108991 91962703 984068981 554484229 984070250 554482316 999999899 15470202 999999943 15415031 998990708 4973129 998992304 4971608 984066214 548709329 984068031 548707993 999990808 24347138 999991419 24343165 999999899 20532867 999999943 20477697 999994657 10940905 999999144 10940364 984088185 548522668 984089743 548521110 983758355 548511842 983760613 548510767 999998060 60125114 999999365 60123254 999998060 56577560 999999365 56575700 999998060 56182134 999999365 56180274 999999884 657781535 999999925 657722336 999999969 692825307 999999993 692724176 992119034 719865062 992119430 719858933 999999996 115840950 999999997 113413880 984100350 548844581 984101839 548842951 999971889 80947160 999975829 80946544 999984915 81174503 999986331 81172789 999999329 721916361 999999435 721893465 999978381 81529893 999980258 81528600 999999435 721899828 999999752 721892172 999999435 719995843 999999752 719988187 999999598 20458011 999999829 20447505 993137965 710120687 993139674 710119267 999999995 196019636 999999996 193592955 999999996 851719978 999999997 849293485 999981420 10693267 999982629 10691260 993341506 700600516 993343587 700599350 983971691 554591038 983974549 554590189 999135287 81563455 999136754 81561801 999996527 133281555 999997828 133279690 999990808 23505589 999991419 23501618 999990808 16121225 999991419 16117254 999997181 9091378 999999144 9090142 978104445 715930377 978106339 715929096 978686836 715774660 978690297 715773959 999973084 134195849 999974285 134193829 999999435 777123823 999999752 777116170 984069725 548582721 984070809 548580483 992116897 719885287 992118018 719883123 978110231 715876271 978111475 715874321 999995006 24776947 999997368 24775920 999111817 81571999 999113979 81570877 998735777 196255545 998737109 196253724 999992429 78101538 999993532 78099339 999998169 195954851 999999746 195953313 983974472 554690524 983976420 554689279 999996626 24802790 999998138 24801186 999999410 227379524 999999909 227374664 999996307 656617682 999997674 656615908 999996307 651163369 999997674 651161595 999996307 650921720 999997674 650919946 998835701 196253661 998836964 196251741 983751426 548502864 983754600 548502100 999993513 30028618 999994841 30026792 999999975 769464282 999999978 768655992 999999144 10459823 999999605 10454563 999991419 19715496 999991537 19694947 992138398 719843619 992141288 719842780 999994156 228675305 999994326 228661042 999999993 934819058 999999996 934010826 999998060 60502525 999999365 60500667 992117089 719878552 992118018 719875942 999981730 80992214 999982492 80989032 978091834 716009222 978093214 716007465 984052550 548448523 984054675 548447382 998842934 196271511 998844111 196269451 999999598 21199294 999999829 21188798 999999144 10049616 999999638 10044708 999977353 30752012 999979802 30751022 977321279 715075269 977322701 715073564 999999909 205945147 999999919 205702701 999999975 914552277 999999982 914205927 999999638 9804764 999999843 9792938 999999948 121443434 999999959 121223042 999998840 30662967 999999605 30659798 999999930 791380210 999999951 791264768 999994859 30146354 999996507 30144883 992109558 719868664 992110649 719866442 999999975 843966330 999999982 843620020 999999410 229493688 999999909 229488830 999999435 777065348 999999752 777057701 999981420 11020598 999982629 11018593 999994417 29989496 999995354 29986909 999989053 133290421 999990989 133289169 999998169 195896312 999999746 195894775 999998169 91191053 999999746 91189516 999998169 91178734 999999746 91177197 999991419 19543534 999991537 19522993 978109688 715883334 978110955 715881421 999997129 196224518 999999045 196223253 999998779 24891834 999999367 24887712 983755480 548523535 983757488 548522328 978684093 715754743 978685300 715752735 999999410 229368474 999999909 229363617 999999329 722131430 999999435 722108566 978119233 715945935 978119718 715940938 999989720 133255897 999992290 133254954 999993032 624950879 999996307 624950139 999971889 81160814 999972308 81155030 993233508 700593982 993235184 700592536 999998060 60333272 999999365 60331415 999998060 60132628 999999365 60130771 999999329 727815429 999999435 727792567 999981787 30768319 999983513 30766915 998736880 196303717 998737981 196301516 984074098 548464543 984075094 548462110 999997583 11063078 999998314 11059763 999999999 83804724 1000000000 81381492 999990808 23420971 999991419 23417005 999999435 777364693 999999752 777357049 999999410 229005096 999999909 229000240 999999329 721470558 999999435 721447699 999997287 5038639 999999286 5037427 999999598 15750355 999999829 15739867 999999982 722312271 999999983 719889594 999173907 4817767 999177965 4817170 984072360 548838923 984074979 548837998 999999144 10730067 999999605 10724812 999999925 640737303 999999979 640692443 999994314 24816823 999995637 24814992 999999975 883068638 999999982 882722582 999992712 135224847 999994251 135223273 984014167 548450340 984015365 548448318 999996307 651177524 999997674 651175752 999999982 128455254 999999988 128051556 999999144 9594402 999999638 9589499 999999144 7936693 999999638 7931790 999999605 26174215 999999895 26165863 998756320 196292134 998757708 196290389 983980464 554607811 983981416 554605267 978117903 715906723 978118946 715904401 978011995 715847174 978014088 715846017 999990808 24514372 999991419 24510409 999998292 624312862 999999476 624310817 999999435 734765098 999999752 734757460 999991537 20253317 999995338 20252680 999999948 121167784 999999959 120947685 999999931 622046669 999999944 621860441 999996307 651269281 999997674 651267510 999996307 650683744 999997674 650681973 999982169 135206236 999983121 135203693 992139669 719747215 992142107 719746222 999999435 776258506 999999752 776250869 999990286 26682596 999991441 26680500 999999979 642971803 999999997 642837312 978115149 715951665 978116386 715949708 999997287 4703436 999999286 4702225 999998060 56281176 999999365 56279321 999999542 29340597 999999837 29332391 977327168 715074897 977328834 715073444 999998169 195574648 999999746 195573113 999999969 708362803 999999993 708261943 999999992 739592565 999999993 737171936 983974483 554601509 983977668 554600749 999144806 4955942 999147406 4955011 984099867 548506500 984102826 548505682 999981420 10492918 999982629 10490916 999999435 732537509 999999752 732529874 983652542 548943216 983654000 548941556 999983902 26681141 999985360 26679481 983970943 554606950 983971871 554604342 999999329 728965688 999999435 728942856 999999884 651504484 999999925 651445455 999995416 30155125 999997092 30153681 992136422 719886132 992137438 719883750 999998292 624794654 999999476 624792610 983752997 548501510 983754099 548499314 999999045 196241499 999999639 196237425 999999971 626443177 999999983 626241534 993357268 700649783 993359055 700648429 999996307 657765448 999997674 657763678 999996307 651423746 999997674 651421976 999997900 9051346 999999144 9049401 999999149 26620910 999999314 26606246 999998060 59990776 999999365 59988922 999998060 56638724 999999365 56636870 999998060 56497715 999999365 56495861 984087241 548495929 984089281 548494743 999999710 3574072 999999947 3563864 999997325 9074034 999999144 9072704 999999598 17786607 999999829 17776134 993364108 700646030 993365594 700644402 999992413 133244176 999993400 133241725 993166597 710121935 993168297 710120512 999994288 81001609 999995664 80999851 999986448 81515191 999988498 81514011 999991594 16379839 999993748 16378716 999999930 806832567 999999951 806717380 999993807 624854914 999995536 624853515 993356100 700631128 993357522 700629427 978485829 716063701 978487246 716061994 999999598 20074787 999999829 20064316 983644579 548952046 983646376 548950700 993356689 700651931 993357815 700649783 999999969 683646835 999999993 683546069 999999605 26147588 999999895 26139249 999999930 796996479 999999951 796881322 999999992 203005648 999999993 200587396 999995169 625254777 999996307 625252652 999994156 226311994 999994326 226297769 999996307 651031257 999997674 651029488 999999975 785298465 999999982 784953008 999998840 30274537 999999605 30271376 999998060 60085352 999999365 60083499 978612420 715743124 978615092 715742219 999999144 9622867 999999638 9617972 999993414 9076878 999999144 9076456 999999286 6257625 999999455 6243317 999994392 24762776 999996810 24761776 999999919 214847903 999999923 214243418 999992096 18955558 999993966 18954265 999999598 18953196 999999829 18942729 999999925 655643034 999999979 655598259 983765903 548510767 983768848 548509946 999998292 624278316 999999476 624276274 977365229 715077437 977367380 715076313 993354881 700629427 993355446 700625148 999996115 135212784 999998169 135211607 999998169 90607163 999999746 90605630 999997493 24761776 999999367 24760486 999999329 729484879 999999435 729462073 978018041 715869140 978020213 715868027 999998840 30297758 999999605 30294598 999994314 24858812 999995980 24857361 993098472 710175716 993099209 710172436 999999934 11568584 999999948 11395917 993226649 700590457 993228960 700589411 999999995 90349642 999999996 87932403 999994314 24695995 999996773 24695012 999992205 18899192 999994167 18897960 999990808 16299678 999991419 16295722 999996527 133221245 999998169 133219773 999999969 661737765 999999993 661637056 999999899 22999902 999999943 22944971 999999638 7845345 999999843 7833555 999999607 6756345 999999730 6736695 999999329 723497106 999999435 723474305 999991419 23597922 999991537 23577440 999998060 62732516 999999365 62730664 999996307 657768447 999997674 657766679 984097112 548585593 984098857 548584208 999999435 772250736 999999752 772243112 999997287 4827398 999999286 4826189 999999983 28485931 999999996 28300025 999999919 200396628 999999923 199792444 999999841 650502339 999999884 650446137 999999987 620341894 999999990 619536357 999987687 135206161 999989332 135204692 999999435 733756312 999999752 733748689 999142711 4976210 999144253 4974643 999999997 173798238 999999998 171381929 984100686 548718596 984101871 548716557 999999455 5651466 999999607 5635570 978108683 715999741 978110825 715998613 984066947 554479999 984069385 554479008 999999542 28755762 999999837 28747572 999999884 644095240 999999925 644036312 999999971 629647693 999999983 629446356 999998169 195363387 999999746 195361855 993113024 710113556 993114857 710112238 999978823 30801852 999981466 30800938 999999605 25974849 999999895 25966519 999999789 716692110 999999932 716675217 993240846 700592391 993243180 700591356 999982270 30782484 999983982 30781073 999971889 81142237 999974085 81141137 999999931 623527847 999999944 623342033 999991419 16894872 999991537 16874401 998871429 91964042 998873233 91962703 983752446 548531223 983753877 548529535 984061108 548467113 984063016 548465847 999973650 81156745 999974914 81154834 999996307 657328135 999997674 657326368 999999944 621430731 999999971 621341270 999999837 29219276 999999983 29202733 999999976 213067787 999999984 212765878 999999329 776295300 999999435 776272516 999993513 30179310 999995174 30177856 978612420 715744748 978613907 715743124 999997287 4943006 999999286 4941798 999998018 24843285 999999367 24841495 978104692 715944206 978106091 715942480 999999144 7556314 999999638 7551426 999999410 228376010 999999909 228371171 999999946 722302309 999999975 722219047 999999946 758888532 999999975 758805271 998866427 196268483 998867962 196266910 998854564 196278114 998856139 196276581 999999598 23412404 999999829 23401952 999999946 747716931 999999975 747633676 999981420 10704328 999982629 10702331 999981420 10310747 999982629 10308750 999993954 624959635 999995130 624957582 999999710 3894468 999999947 3884281 979524020 713411307 979533165 713411043 999999144 11036953 999999605 11031716 984098862 548859615 984099949 548857394 977310900 715072329 977312042 715070215 983971644 554599665 983973126 554598036 999994156 225265087 999994326 225250886 999999999 186204240 1000000000 183790078 999997129 196091151 999999045 196089891 999129751 81559658 999131640 81558380 999996693 24770429 999999039 24769400 999993414 11015814 999995391 11014593 999971889 134195849 999973084 134193829 993225592 700619916 993226490 700617228 992123823 719858172 992127063 719857427 984094891 548472295 984096822 548471045 999999993 745016043 999999994 742602340 999993032 624849307 999996307 624848570 999972686 80949059 999973957 80947160 999984644 133253347 999987566 133252521 999999944 633339225 999999971 633249835 999990808 24321564 999991419 24317614 978019566 715847174 978021043 715845540 977991530 715749189 977992620 715746975 999976435 81152333 999978431 81151124 999981420 10586166 999982629 10584170 999981420 9794869 999982629 9792873 983976160 554656560 983976727 554652304 978103979 716062712 978105155 716060660 999988139 78091194 999989880 78089808 999999607 6692185 999999730 6672567 999999435 775608919 999999752 775601307 999998292 624646618 999999476 624644580 999993513 30016612 999994704 30014586 999998169 91400259 999999746 91398729 999992300 20296056 999995214 20295228 999996307 656812911 999997674 656811146 999996307 656718953 999997674 656717188 999996307 650595214 999997674 650593449 999996307 650334851 999997674 650333086 978110415 716026363 978111037 716022484 999999882 33987850 999999997 33966870 999994600 24716219 999995836 24714267 999999996 63732486 999999997 61319824 999999946 744623444 999999975 744540250 984026279 548450528 984028303 548449336 999999598 18458922 999999829 18448478 999999789 713198477 999999932 713181606 999999435 772406324 999999752 772398714 999999435 720014454 999999752 720006844 978115901 715914763 978117634 715913371 999997314 24992897 999999367 24991722 998828475 196279554 998829995 196277967 998819690 196254639 998820748 196252359 999980105 78085327 999981867 78083958 999999843 8017648 999999936 7991711 999999882 31916299 999999997 31895324 993361066 700673304 993362175 700671129 999999948 81775907 999999959 81556628 999999975 957443802 999999982 957099234 999999623 26768622 999999920 26760501 999979023 80989032 999980576 80987479 999999149 26643586 999999314 26628969 984083872 548833513 984085417 548831952 983769375 548537231 983771405 548536043 999998060 56569472 999999365 56567624 999998060 56344164 999999365 56342316 999980316 133255305 999981534 133253325 999991419 16944895 999991537 16924458 999999956 16004808 999999970 15832554 978109764 715992810 978110990 715990843 999013302 4977101 999018488 4976636 999999882 33125527 999999997 33104558 999999435 776319175 999999752 776311568 978091505 716018260 978092838 716016451 999996307 651610230 999997674 651608466 999996307 650211366 999997674 650209602 984036872 548462327 984037784 548459683 999999969 692724176 999999993 692623705 999999993 20214461 999999994 17803200 999998169 90970946 999999746 90969417 999999144 7609908 999999638 7605027 999989037 64108625 999990664 64107143 999999435 733968333 999999752 733960727 999984015 81163644 999987282 81162906 999999975 966243715 999999982 965899283 999999789 718476443 999999932 718459583 993340200 700616072 993341605 700614356 999999948 72249413 999999959 72030235 984095652 548713858 984096647 548711435 999988629 78076253 999990610 78075036 999999993 891980107 999999996 891176488 978096931 716045260 978098452 716043675 999999855 30727191 999999933 30696285 993235199 700621776 993236849 700620315 984102616 548860157 984102826 548848678 984096737 548463765 984098443 548462352 999999996 967951958 999999997 965541414 999998840 30475533 999999605 30472382 999993320 20102187 999995153 20100872 999999948 190378707 999999959 190159582 999997129 196065602 999999045 196064344 999998409 24697528 999999367 24695012 978020550 715859406 978021962 715857699 978629221 715740618 978630767 715739059 978103573 716058664 978104937 716056897 999982324 134205144 999984143 134203819 999999841 645287527 999999884 645231478 999996307 651166911 999997674 651165148 999996307 650386098 999997674 650384335 999994156 224112439 999994326 224098263 999999329 722567168 999999435 722544433 999999836 11126216 999999981 11109596 999160896 4977101 999163023 4975968 998993736 4963510 998995129 4961780 999999435 775295203 999999752 775287601 999994733 625390597 999996307 625389066 999999946 737377238 999999975 737294145 999991419 16915293 999991537 16894872 999986059 78118578 999987033 78116104 999998169 90656498 999999746 90654970 993370286 700683109 993371516 700681150 999999998 931859211 999999999 929449663 999996556 10885944 999997915 10884171 977312144 715082543 977313338 715080525 999999286 6824194 999999455 6809937 999991537 20043703 999994583 20042912 999999884 641968131 999999925 641909366 999999944 625489008 999999971 625399775 983971641 554627270 983972874 554625316 999999975 827603843 999999982 827259661 999997934 4391159 999999286 4389377 999999730 4372347 999999894 4357657 999998060 63507855 999999365 63506009 999999948 116262013 999999959 116043013 978022773 715737669 978024393 715736182 999999970 17582933 999999978 17281826 978014690 715825995 978015402 715822612 999996307 657450353 999997674 657448591 999996307 651083539 999997674 651081777 999988054 26676365 999989498 26674697 999157249 4945773 999158463 4943789 999999925 652930349 999999979 652885746 999161703 4949583 999162966 4947676 978116180 716020884 978117774 716019373 999979999 133219544 999981245 133217611 999999730 5658517 999999894 5643831 978114474 716029126 978116069 716027616 998871429 91965377 998873233 91964042 999981420 10330369 999982629 10328377 999179384 4804927 999180527 4802820 999999144 9842934 999999638 9838059 999999435 720307066 999999752 720299469 984099677 548459126 984101050 548457372 999998840 30543652 999999605 30540504 999999993 97927722 999999994 95519510 993100550 710133404 993101871 710131581 999976588 80999851 999977611 80997497 999998169 91480035 999999746 91478508 999998169 91351307 999999746 91349780 999998169 91246175 999999746 91244648 999990746 81532233 999993257 81531274 984098717 548498069 984102157 548497369 999971889 133258030 999972322 133252469 999981505 30777985 999982447 30775429 999999598 20820708 999999829 20810285 999994156 230991108 999994326 230976945 999164772 4802260 999165326 4797914 999978771 30755216 999980012 30753276 999027736 4953511 999029075 4951713 999994156 230251491 999994326 230237330 999971977 80990022 999973299 80988201 999150744 4955845 999151216 4950745 999999925 649616231 999999979 649571654 999981420 10139666 999982629 10137675 984073795 548584663 984075192 548582940 999993032 624808718 999994187 624806634 984100296 548581254 984102125 548579938 984081416 548559976 984082722 548558133 999999969 682535241 999999993 682434952 999999144 8737656 999999638 8732784 999999329 720719518 999999435 720696813 999990808 23576064 999991419 23572125 999999435 732441219 999999752 732433627 999999943 22059857 999999956 21874732 999999455 6194697 999999607 6178865 978106463 715911645 978108629 715910534 999998060 60106864 999999365 60105020 999999455 4665895 999999607 4650065 999993513 30064983 999994310 30061964 999997489 30148695 999998840 30146914 999990808 15594305 999991419 15590367 999999435 732881026 999999752 732873436 984096544 548538850 984102826 548538467 978114772 715894186 978116060 715892318 999993981 16268594 999995338 16266821 999999969 667246372 999999993 667146125 999999923 228973871 999999955 228898688 999999946 722658554 999999975 722575594 999010307 4949380 999012006 4947964 978624494 715746055 978626083 715744541 999999542 26988456 999999837 26980301 999999923 226937916 999999955 226862738 993348598 700684547 993350565 700683324 983761095 548512573 983762427 548510767 999982888 30798773 999983975 30796560 999999995 722295112 999999996 719889594 999990808 15766661 999991419 15762724 999999943 24578332 999999970 24489242 999999435 732043512 999999752 732035924 999997180 24653467 999998564 24651729 998868478 196271370 998869660 196269335 984063909 548450140 984066242 548449109 999999969 687559870 999999993 687459652 999999829 18108472 999999899 18074112 999977353 30749363 999979732 30748352 999996507 10926235 999998984 10925264 983770205 548524652 983771358 548522566 993108249 710118219 993110240 710117011 999998060 59854564 999999365 59852721 999973765 134203894 999975152 134202160 999999789 718290582 999999932 718273764 999998169 195903342 999999746 195901817 999990808 23886091 999991419 23882155 984024733 548456083 984026072 548454287 999996628 24970483 999999367 24969605 999999329 725012456 999999435 724989769 999997287 4801264 999999286 4800061 999999965 3598675 999999967 2396328 999996307 650636488 999997674 650634729 999999329 730234481 999999435 730211798 999999841 649332133 999999884 649276217 999102090 81561048 999104145 81559878 999999997 962621029 999999998 960216695 999994314 24779642 999995979 24778198 978106741 715875597 978107712 715873121 999138384 81577117 999141378 81576314 977340490 715063408 977342307 715062085 999993032 624982417 999996307 624981683 999993476 18901300 999995338 18900009 983763331 548527309 983765586 548526243 999999882 35640077 999999997 35619175 999990808 15435921 999991419 15431987 978103895 715952752 978105518 715951271 999993670 20106384 999995338 20104943 999999969 691957406 999999993 691857258 978630246 715746587 978631341 715744392 984098034 548697524 984099859 548696207 999999435 772444928 999999752 772437346 999981420 10117183 999982629 10115195 998756349 196269512 998758132 196268164 999978695 78132662 999979968 78130774 999999948 155698992 999999959 155480500 984094569 548830714 984096094 548829138 999999542 27735252 999999837 27727105 978115209 716041647 978117016 716040317 978112876 715927426 978114719 715926122 998742121 196261239 998743156 196258917 999997287 4859058 999998502 4857080 977355373 715065490 977356337 715062997 999999944 624739882 999999971 624650874 999991419 15464591 999991537 15444226 992122773 719752579 992124569 719751241 999999882 36773521 999999997 36752625 999999993 916609562 999999996 915808571 998967819 91966073 998968532 91962703 978018197 715812805 978018751 715808468 984091704 554484619 984093361 554483169 978116406 716035887 978118377 716034668 999997710 24821946 999999079 24820191 999986025 30745841 999987362 30744044 999999435 772810282 999999752 772802703 993098571 710166231 993100550 710165017 999971889 81177052 999973814 81175804 999999944 618080485 999999971 617991509 999998292 623788116 999999476 623786087 999998292 623647855 999999476 623645826 999999843 7368361 999999936 7342530 999999435 771293793 999999752 771286215 984007792 548453410 984010082 548452361 999991537 18997742 999993361 18996425 999999286 5789493 999999455 5775279 999999837 28335537 999999983 28319084 999993990 16271243 999995338 16269461 999994156 224784003 999994326 224769874 999999975 984407146 999999982 984064018 999995254 625214467 999996307 625212186 977338503 715082088 977340992 715081123 999999975 783776863 999999982 783433738 999996307 658078064 999997674 658076307 999996307 657468824 999997674 657467067 999998169 90771090 999999746 90769567 978688959 715804940 978690297 715803145 978015847 715809490 978018197 715808468 999994308 625201181 999995735 625199498 999999946 749108663 999999975 749025848 999987042 133221648 999989050 133220452 999165718 4836120 999168357 4835210 999999923 212849612 999999955 212774566 993370298 700623486 993372741 700622503 999999923 222303021 999999955 222227976 993332392 700604672 993335353 700603861 999129109 81562159 999130625 81560575 999999329 727750716 999999435 727728063 999998060 63442009 999999365 63440169 999998060 59804043 999999365 59802203 999994301 625071404 999996307 625070207 999999329 732082309 999999435 732059657 999981420 10632854 999982629 10630868 999996261 30157575 999998840 30156644 999993513 29969711 999994622 29967546 993124671 710128944 993125901 710126992 999999435 776347424 999999752 776339850 978111342 715956659 978116386 715956183 993366261 700639576 993367256 700637163 993357522 700631539 993359376 700630244 999999983 632435593 999999987 631835365 978110462 715945872 978112103 715944409 999999717 13994261 999999822 13971397 999992384 135196030 999993891 135194437 999999994 100276512 999999995 97875911 999999598 22491289 999999829 22480897 978117981 716031494 978119718 716030112 999999993 66518020 999999994 64117499 999977789 135191749 999979531 135190371 999996307 650994303 999997674 650992547 984089781 548542318 984091087 548540480 999999996 754512339 999999997 752111965 999999710 1460888 999999947 1450760 978112192 715921444 978113953 715920081 992120579 719867212 992122561 719866001 999998169 195540390 999999746 195538868 978612420 715739864 978614695 715738809 999999542 26931692 999999837 26923556 999999946 739241434 999999975 739158672 999999598 19961012 999999829 19950622 999978051 81520672 999979136 81518460 999990808 15665549 999991419 15661621 999990955 133245627 999992609 133244176 999997312 10896493 999999144 10895183 978111144 715977852 978112897 715976483 999999884 639598401 999999925 639539871 999999955 225155117 999999976 225040855 999999925 641105121 999999979 641060686 999993032 625288411 999993766 625285142 999991419 16547871 999991537 16527537 999990808 23762821 999991419 23758894 999999837 26962809 999999983 26946375 999999946 765038859 999999975 764956123 999994615 625081174 999996307 625079756 999995247 9088034 999996983 9086652 998848566 196276404 998850577 196275211 999996307 656620669 999997674 656618914 999999975 780286142 999999982 779943421 999999144 10754082 999999605 10748878 999999948 100112264 999999959 99894179 999982776 81519381 999983926 81517295 999999969 688479397 999999993 688379443 999997540 24918862 999999367 24917549 999999909 204214361 999999919 203974482 999999923 223816927 999999955 223741966 999999435 773817470 999999752 773809903 999999969 688226929 999999993 688126986 999998060 56172975 999999365 56171137 999999923 208723842 999999955 208648887 999999925 653627718 999999979 653583301 983646401 548914747 983647360 548912246 999981305 30760237 999983122 30758917 999999314 26439124 999999605 26430882 999999969 711185924 999999993 711085997 998997481 4976631 998999737 4975568 977311435 715069537 977313310 715068258 992138149 719882000 992139540 719880276 999976065 135192682 999977789 135191291 999999946 726989351 999999975 726906659 999995577 26677973 999996309 26674697 998737849 196270019 998739273 196268335 998831688 196262018 998832145 196256771 983644048 548935940 983645314 548934046 998760109 196265562 998760581 196260482 999999605 30385362 999999855 30375771 999996307 656918406 999997674 656916652 999996307 651037761 999997674 651036007 992059614 719753186 992060737 719751051 993124324 710126992 993125944 710125512 977993050 715744721 977994182 715742603 999999329 733699396 999999435 733676778 999999435 721091416 999999752 721083853 999988130 135261121 999989609 135259500 999999144 9010268 999999638 9005415 999998060 63432923 999999365 63431086 999998060 56292637 999999365 56290800 978090830 716014107 978092015 716012084 983761196 548553384 983761922 548550082 999999329 722271632 999999435 722249017 999993513 30207817 999998840 30207367 999982121 81539592 999983248 81537465 999999975 858026507 999999982 857684067 999998169 195812998 999999746 195811478 999998169 195597997 999999746 195596477 999999969 673599289 999999993 673499414 999999598 21168273 999999829 21157897 999138384 81576314 999140170 81574972 999997287 4358376 999999286 4357177 999993032 624873713 999994169 624871605 999994624 30122834 999995626 30120442 984101368 548575443 984102564 548573439 993096279 710154086 993097736 710152441 999999989 143932181 999999990 141535560 999999884 647595507 999999925 647537054 999999329 732494410 999999435 732471801 999149312 4974946 999150074 4971801 977307213 715072070 977308724 715070484 992127496 719739440 992130752 719738704 999999841 642483752 999999884 642428023 999999435 721829819 999999752 721822260 993365596 700661246 993367399 700659917 978016127 715855197 978017555 715853519 999999598 17814960 999999829 17804587 999994156 225188726 999994326 225174631 983978271 554692494 983979589 554690676 999996463 24834252 999997441 24831802 983643211 548938474 983645300 548937327 999999996 979662392 999999997 977266344 999998060 62976502 999999365 62974666 999999946 734800903 999999975 734718284 999999598 18136874 999999829 18126502 998755398 196302216 998757143 196300843 999993032 624880896 999994318 624879033 998940570 91966579 998941788 91964612 992119891 719874283 992122550 719873382 999999975 869937493 999999982 869595249 999999149 25072285 999999314 25057766 999999837 27435462 999999983 27419054 999983736 81170389 999985223 81168778 999999975 977655772 999999982 977313551 999998169 195659484 999999746 195657965 993138538 710127587 993140115 710126068 993235193 700605361 993236711 700603783 999111611 81576945 999112910 81575101 999999717 12881856 999999822 12859044 999999946 777800324 999999975 777717729 999998292 623667629 999999476 623665606 999998292 623572196 999999476 623570173 992120027 719856778 992121020 719854366 999999542 27428777 999999837 27420658 999999946 727501844 999999975 727419255 992113410 719849168 992114441 719846845 999999982 195637756 999999988 195238588 999997129 196044037 999999045 196042787 999999435 732699180 999999752 732691625 999013765 4966040 999014733 4963566 999978646 134200801 999979607 134198309 999997287 4811902 999999286 4810704 999997287 4454064 999999286 4452866 999974775 133252484 999977776 133251686 993096528 710149647 993099092 710148713 984078073 554482204 984079485 554480508 983974667 554640651 983976693 554639469 999999410 227724163 999999909 227719364 999992424 78113181 999994252 78111871 999998060 63748287 999999365 63746452 999998060 60094260 999999365 60092425 999998060 59880083 999999365 59878248 999999329 776690286 999999435 776667695 978489240 716064818 978490323 716062607 999993774 135207548 999995452 135206121 983970837 554669020 983972316 554667401 999994156 227390638 999994326 227376553 979506368 713839572 979508404 713838396 999999975 875587620 999999982 875245577 999973629 80962656 999974779 80960574 978000047 715742338 978001423 715740598 999999975 945242619 999999982 944900586 993363529 700618331 993364887 700616568 999999149 25051827 999999314 25037318 999999999 969751413 1000000000 967357446 999981420 10800514 999982629 10798534 999047699 91966663 999048582 91963952 999999410 230791122 999999909 230786325 998743822 196275310 998745100 196273437 999999598 22270762 999999829 22260400 999999598 19677796 999999829 19667434 999996307 657173298 999997674 657171547 999999717 12589505 999999822 12566709 999984015 81150471 999985450 81148803 999999329 732944364 999999435 732921784 983765096 548531692 983767264 548530588 999999598 21470228 999999829 21459867 984087784 548547594 984089230 548545939 978007715 715746608 978009553 715745306 999999435 771514760 999999752 771507211 978116710 715966771 978118976 715965715 999993032 624772991 999994536 624771400 999992520 133222030 999993803 133220165 983974667 554641832 983976693 554640651 999999410 227630890 999999909 227626095 978109494 715966573 978111726 715965501 999990808 24216204 999991419 24212288 999990965 30770728 999992893 30769487 979508404 713839653 979510687 713838605 993094535 710136180 993095444 710133548 983657605 548915003 983660197 548914080 998745100 196262077 998748446 196261362 999999992 182350633 999999993 179958290 999996307 657898184 999997674 657896434 999996307 657339488 999997674 657337738 999167104 4839244 999168156 4836970 999999410 230694910 999999909 230690116 999999144 10557882 999999605 10552693 999989627 134199100 999991207 134197586 978090830 716056951 978091780 716054433 984071067 548574403 984077675 548574041 999994156 229164325 999994326 229150254 999998060 60147004 999999365 60145171 999994124 19016784 999995326 19014794 999999730 6422296 999999894 6407711 999979808 80964812 999982128 80963781 998888633 91965326 998890410 91963980 999983736 81178600 999985048 81176777 999999144 10567239 999999605 10562051 978106036 715985455 978108160 715984329 999994891 624927368 999996307 624925679 999011019 4974995 999013425 4974001 984100593 548492736 984102826 548491665 983979346 554584199 983980655 554582372 999999969 692226262 999999993 692126616 993367531 700625148 993368853 700623339 999999314 25787311 999999605 25779093 978579055 715772295 978580673 715770817 999142707 4947407 999143807 4945233 999998840 30221216 999999605 30218090 983752497 548495662 983753751 548493755 999994156 223533629 999994326 223519563 998735777 196268023 998736581 196265049 984099345 548545369 984100552 548543388 998829995 196280370 998830990 196277967 999999975 885554287 999999982 885212730 999996307 656903252 999997674 656901503 999999982 71775044 999999988 71376568 999993028 16316852 999995338 16315817 999999975 877255715 999999982 876914173 999998060 63635080 999999365 63633248 984076648 554477328 984077469 554474416 999998169 195548247 999999746 195546731 999988648 30749548 999991454 30748696 999994676 625187068 999995962 625185209 999999948 77097719 999999959 76880387 999999598 24632311 999999829 24621962 999999841 643573306 999999884 643517711 999998292 624033799 999999476 624031780 983768848 548506884 983770150 548505048 993104436 710121008 993107060 710120097 983645356 548912246 983646939 548910736 999999999 156832485 1000000000 154442319 992123784 719885491 992125813 719884313 993101871 710135632 993103340 710134005 983652844 548929911 983653633 548926882 984076425 548572358 984077741 548570542 999995679 10986375 999997285 10984887 998906231 91965142 998907756 91963575 999999710 504567 999999947 494484 983977605 554593477 983978896 554591626 999990808 15403909 999991419 15399998 999993766 20176537 999994968 20174549 993368375 700666827 993370261 700665560 999999435 776824546 999999752 776817008 999996307 650899342 999997674 650897594 999996307 650221651 999997674 650219903 978019529 715817292 978020709 715815267 999999367 24859834 999999638 24851017 992120171 719844293 992122493 719843264 984066407 548856446 984068527 548855319 999999542 28426587 999999837 28418488 978091479 716062712 978093616 716061594 999999836 10339492 999999981 10323015 999993509 625042236 999994679 625040194 999999948 95701448 999999959 95484254 999994356 9050453 999995138 9047398 999981420 10611797 999982629 10609821 999981420 9633008 999982629 9631032 999999435 776534048 999999752 776526512 992122697 719743285 992124159 719741651 999987154 78129929 999989244 78128786 999994129 624964590 999996260 624963469 999999998 816929602 999999999 814540798 999989664 81539225 999991592 81537986 999999975 909521676 999999982 909180421 983978896 554592800 983980684 554591464 999996890 10979778 999997954 10977533 999995644 24677897 999998002 24676884 999984590 78098076 999986962 78097069 999999899 18306908 999999943 18252623 998754715 196275380 998758132 196274681 999999884 640082420 999999925 640024165 993356099 700643153 993359055 700642345 999999882 34689034 999999997 34668266 999994690 624973813 999996307 624972336 999999993 181863748 999999994 179475503 993158470 710126038 993159657 710124026 999999822 13597752 999999980 13582637 999998060 63725715 999999365 63723885 999998060 63200970 999999365 63199140 999996307 657783154 999997674 657781407 977349452 715076407 977351328 715075134 999999993 843913283 999999996 843117239 999999925 642979379 999999979 642935158 999999978 721818498 999999980 720624556 999999837 28648505 999999983 28632150 979490011 713843110 979491169 713841048 978107722 715954232 978109019 715952391 978496025 716050752 978497234 716048777 993141817 710112811 993143258 710111154 984099426 548472498 984100327 548469848 999999598 18001687 999999829 17991351 983834461 548500738 983836705 548499674 999999329 735301966 999999435 735279442 999997287 4596166 999998656 4594422 999999144 8062211 999999638 8057378 999999974 901261661 999999975 898874208 978113688 715992638 978114820 715990529 999999598 15496098 999999829 15485763 999999894 6369878 999999965 6336253 977360008 715069093 977361400 715067378 999999410 228289757 999999909 228284973 999999841 639432879 999999884 639377363 977361643 715063748 977362856 715061780 999990808 16003471 999991419 15999564 998908295 91964794 998910058 91963440 993108444 710124078 993109823 710122347 999999944 630145461 999999971 630057053 999995857 30127110 999996942 30124910 999999930 785313630 999999951 785199964 999998292 624002959 999999476 624000943 999999598 19164244 999999829 19153911 999999829 16255603 999999899 16221505 999998060 59887692 999999365 59885863 993230833 700607758 993233227 700606761 999997287 4607869 999999286 4606675 999999329 776052164 999999435 776029647 999996307 656805220 999997674 656803474 984079025 548592395 984081183 548591289 992088989 719755014 992089770 719751958 984094846 548843714 984096374 548842152 999999909 208113950 999999919 207875282 999994156 222826892 999994326 222812853 999984080 135243318 999989776 135242899 999981420 10738541 999982629 10736567 999981420 9948059 999982629 9946085 999991537 16355671 999993037 16354080 978685470 715807774 978686633 715805722 993198210 700481421 993198593 700475190 999996916 134198132 999998070 134196064 999977419 134188892 999978578 134186833 999999996 673211483 999999997 670825122 984087735 548728784 984089112 548727051 978606089 715747913 978607341 715746007 999991815 18897433 999993471 18895992 978116681 715995696 978118958 715994648 999999884 643079907 999999925 643021706 999999923 197586597 999999955 197512028 999999946 761793260 999999975 761710979 999999435 774838832 999999752 774831305 999999999 108056324 1000000000 105670272 999998169 91486898 999999746 91485385 999991419 21620064 999991537 21599844 999148470 81578843 999149226 81575687 999999943 19455293 999999956 19271762 999999999 905598087 1000000000 903212190 993361329 700657337 993363283 700656116 999999882 31795093 999999997 31774348 999999455 6498916 999999607 6483222 999999948 127861245 999999959 127644385 999997129 196204547 999999045 196203302 999996307 657582974 999997674 657581229 999996307 656859485 999997674 656857740 999996307 651220810 999997674 651219065 999999717 13301117 999999822 13278399 999999789 715172382 999999932 715155701 999998840 30407324 999999605 30404206 978011111 715820120 978012861 715818757 978501612 716062154 978503392 716060814 993357204 700604301 993359190 700603100 999999717 13631189 999999822 13608473 999999314 26308373 999999605 26300177 998837992 196280691 998839821 196279387 999150222 4965370 999152150 4964133 993158470 710131694 993159558 710129502 999971889 135257692 999972835 135255171 993360850 700682671 993362764 700681425 999991419 18562760 999991537 18542550 999994156 228096276 999994326 228082248 999991419 16399325 999991537 16379116 999999996 991409029 999999997 989024368 999979999 133216652 999983239 133215916 999999975 885894909 999999982 885554287 999981465 81155344 999984015 81154409 999999948 172521864 999999959 172305122 999996307 657294170 999997674 657292426 978588572 715743317 978590185 715741839 984027491 548464662 984029177 548463248 999999605 30153241 999999855 30143705 999999882 32428587 999999997 32407857 999999717 14909036 999999822 14886332 999999435 721203244 999999752 721195724 978500731 716059016 978502001 716057139 977979425 715737412 977981363 715736182 999035952 91966663 999037683 91965286 999999286 6478251 999999455 6464147 999999144 9463767 999999638 9458942 999999455 4833434 999999607 4817753 978683847 715783124 978684413 715778913 977984401 715737127 977986923 715736182 984101228 548855186 984102616 548853469 999997880 4276006 999999286 4274311 984090755 548699181 984091877 548697057 999163735 4946942 999164772 4944644 999978348 80947345 999979584 80945417 999999607 6802179 999999730 6782805 999998060 63349742 999999365 63347916 999998060 60413293 999999365 60411467 999998060 56411388 999999365 56409562 999999894 6183688 999999965 6150126 999998169 195407192 999999746 195405681 999998169 91432753 999999746 91431242 998857091 196279146 998858931 196277851 999999605 10924930 999999836 10914615 999996307 651128470 999997674 651126727 999996307 650960795 999997674 650959052 999999789 715282985 999999932 715266323 999999988 96909475 999999989 94526838 999993513 30183321 999994107 30179310 999999930 790434508 999999951 790321056 999999841 653314624 999999884 653259218 993152174 710119032 993152648 710114006 983641962 548899478 983644788 548898635 999999996 887764888 999999997 885382591 999994133 625018571 999995354 625016620 983753217 548514114 983754952 548512741 999991340 134199100 999992676 134197317 999999144 7652712 999999638 7647890 999994156 224486627 999994326 224472615 999994693 624782240 999996141 624780595 999135679 81577117 999136903 81575171 993098695 710129068 993100550 710127784 984075660 548842969 984076889 548841031 984036668 548463152 984039555 548462327 993140190 710113648 993141145 710111154 999981420 9904066 999982629 9902096 999999975 728233937 999999978 727440044 999999607 4333355 999999730 4313992 999998060 60089191 999999365 60087366 999999717 15349915 999999822 15327233 998745100 196289011 998747162 196287856 999987135 81136196 999988903 81134849 999999994 724585574 999999995 722204083 978106956 715924152 978109045 715923012 999989242 135201778 999990723 135200170 999145071 4952713 999146486 4951030 999996307 650495724 999997674 650493982 999999598 20273768 999999829 20263460 999996590 78088881 999998169 78087373 984018225 548458689 984019733 548457110 999999638 7871461 999999843 7859846 999986188 80981971 999988493 80980938 999999435 733882168 999999752 733874657 999999314 25167299 999999605 25159117 978114933 715933580 978116989 715932422 999997287 4402460 999999286 4401269 998739064 196254390 998740955 196253131 998757708 196289563 998759813 196288432 977969370 715738963 977971013 715737514 978109505 716032763 978111381 716031494 999991537 19042741 999993357 19041433 999993414 9058926 999994503 9056740 999981420 10990229 999982629 10988260 999991537 20086358 999992921 20084638 999993032 625202615 999994692 625201181 999998060 62735622 999999365 62733798 999998060 59775268 999999365 59773444 999182679 4817068 999184126 4815423 978098881 716025822 978100282 716024123 999999946 753060958 999999975 752978879 999999638 9787847 999999843 9776236 999167797 4817767 999171784 4817170 999999999 689148509 1000000000 686768275 999999975 823188202 999999982 822848181 993228631 700616558 993229893 700614672 999115792 81582230 999117056 81580347 999999837 27006919 999999983 26990617 999996307 656871532 999997674 656869791 999998292 623470005 999999476 623467995 978011774 715831485 978013226 715829846 978094589 716064818 978095719 716062712 999997129 196197669 999999045 196196427 999997129 196040175 999999045 196038933 999999946 729153767 999999975 729071711 983971346 554643821 983973146 554642499 999999923 223517444 999999955 223443083 999999598 15399658 999999829 15389357 993134792 710133940 993136011 710131988 999994242 78108201 999995998 78106846 999999975 798956537 999999982 798616635 999981420 9858526 999982629 9856558 999024887 4954330 999026158 4952458 999993202 625088304 999994397 625086313 999993413 16346910 999994711 16345077 999999410 229965411 999999909 229960643 999999841 652609444 999999884 652554114 999999329 720459491 999999435 720437046 999998060 60112451 999999365 60110628 999992144 16247564 999993115 16245114 999999930 788101369 999999951 787988086 999999993 821380371 999999996 820587403 999999598 23085458 999999829 23075160 999986962 78098413 999988319 78096660 978109783 715891596 978111179 715889892 999999993 22876839 999999994 20498063 999999435 776731518 999999752 776724014 999999435 773135113 999999752 773127609 999999144 10368452 999999605 10363292 999999789 714498739 999999932 714482105 999991537 20188817 999992897 20187068 999996307 656836332 999997674 656834592 999975471 81177001 999977089 81175531 999976919 78082928 999979371 78081958 999991537 16259979 999992919 16258258 999999956 17944323 999999970 17774437 998745100 196310745 998747517 196309761 999990478 30795025 999991848 30793289 999999909 200931014 999999919 200693184 999108936 81566713 999110242 81564892 999999944 626547955 999999971 626459873 999993895 81144884 999994657 81141763 999999286 6505276 999999455 6491204 999999841 642109418 999999884 642054112 999998169 195645209 999999746 195643701 993098325 710153559 993100452 710152441 978117481 715901618 978119718 715900555 999140265 4966289 999141807 4964747 999999948 153549550 999999959 153333390 978687535 715784662 978689081 715783124 983749010 548524985 983750171 548522937 999998060 60338248 999999365 60336426 999999542 27478390 999999837 27470330 999993032 625048895 999996307 625048169 999160178 4956863 999162065 4955603 999976780 133223838 999978339 133222313 999998292 624546555 999999476 624544547 999999837 27526966 999999983 27510682 999999931 636670368 999999944 636487496 992132091 719746164 992134082 719744970 999996307 651553618 999997674 651551879 999996307 650185673 999997674 650183934 999999841 649674455 999999884 649619171 999978427 80978801 999979465 80976511 999999970 20182640 999999978 19885525 978631301 715741827 978633267 715740618 999981420 9691348 999982629 9689382 998986553 91964829 998988214 91963398 999999948 89556320 999999959 89340240 999988523 80958071 999990003 80956465 984086281 548852996 984089074 548852145 999990808 24595219 999991419 24591329 999999990 752791242 999999991 750414624 999999435 734931304 999999752 734923807 999999435 720936921 999999752 720929424 999998169 91187575 999999746 91186068 999987232 80948614 999988545 80946804 999996907 24935305 999997923 24932966 999998060 63908096 999999365 63906275 999998060 60381094 999999365 60379273 993106491 710112682 993107181 710109238 999999410 228383248 999999909 228378486 999977353 30786874 999978351 30784493 999151956 81577631 999153491 81576083 999012841 91964966 999013891 91962703 999999969 658191013 999999993 658092007 983652534 548906790 983655100 548905864 999999944 637917581 999999971 637829577 999999598 24054622 999999829 24044336 999999598 19140194 999999829 19129908 992082179 719749221 992083049 719746490 999994156 225786216 999994326 225772240 984083119 548838585 984085246 548837468 984096594 548567064 984097928 548565283 999140265 4956513 999141899 4955059 999999598 15723502 999999829 15713217 999153548 4977101 999154779 4975171 999999930 787599243 999999951 787486109 998746312 196309761 998747093 196306719 999999882 35454451 999999997 35433792 998872791 196277054 998874044 196275158 999999829 23351846 999999899 23317908 999999943 23387742 999999970 23299755 983657534 548903345 983659248 548901959 999999435 776951968 999999752 776944474 999153548 4972520 999156852 4971801 999977266 133241544 999978562 133239711 978111475 715873307 978114859 715872605 999989127 135215567 999992115 135214772 999993155 624909788 999995080 624908554 999982596 78118060 999984382 78116730 999994000 11041413 999994984 11038999 999999986 231022418 999999991 230547344 999180784 4812356 999182550 4811011 992067982 719750282 992069327 719748516 999992555 20169819 999994290 20168450 978113547 715940938 978115121 715939429 999998060 63789234 999999365 63787414 999998060 60368727 999999365 60366907 999991419 18376147 999991537 18356020 998741904 196266190 998743280 196264464 999999435 721458241 999999752 721450749 999990808 24268393 999991419 24264506 993094460 710157668 993095949 710156073 999999995 759208577 999999996 756833662 999999882 32607267 999999997 32586616 984074827 548826626 984076171 548824859 999999975 840636980 999999982 840297730 999999997 851338716 999999998 848964024 999999144 10202964 999999638 10198157 999999923 210329299 999999955 210255093 998743279 196288108 998745100 196286804 999999789 713991328 999999932 713974723 999996307 656959164 999997674 656957427 999993536 625101155 999995425 625099898 999999598 16686808 999999829 16676529 999999884 647923263 999999925 647865350 999143806 4954323 999145071 4952446 978687598 715742506 978688815 715740555 992125434 719741873 992127369 719740646 999999144 7273542 999999638 7268736 978577385 715812267 978578092 715808909 998989701 4965874 998991614 4964633 999996152 80982279 999998169 80981102 999998292 624559757 999999476 624557752 999998292 623569237 999999476 623567232 993094269 710153854 993095949 710152441 984087846 548953201 984089297 548951565 999999948 149968275 999999959 149752483 999098603 91966043 999100618 91964865 984006809 548465015 984008587 548463680 999985367 135260121 999987275 135258877 984087834 548830281 984089700 548829009 999975167 80967651 999976961 80966328 999999946 724174516 999999975 724092673 999999435 721188536 999999752 721181049 999999329 722451883 999999435 722429494 999980279 81542626 999983456 81541879 999999144 8411552 999999638 8406748 978101923 716049504 978105083 716048753 993107274 710117011 993109391 710115890 999996307 650515600 999997674 650513864 999989828 81153374 999991040 81151416 999998840 30747036 999999605 30743934 999999996 231305515 999999997 228932579 999984678 133292594 999985770 133290421 999991441 26682479 999993667 26681413 999995459 81541210 999996552 81539039 977366706 715065723 977368433 715064349 999999899 17907234 999999943 17853305 999999605 30006039 999999855 29996548 999999598 23260987 999999829 23250716 999993513 30249997 999994142 30246225 999999986 768419410 999999988 767233147 999999894 6244101 999999965 6210686 999994835 24684649 999996402 24683135 999999999 989777463 1000000000 987405066 999999598 17128893 999999829 17118623 992134548 719865062 992135688 719862981 992144178 719860447 992145657 719858843 983747370 548547882 983748596 548545947 999983121 135203131 999984864 135201770 978615965 715745955 978617262 715744126 999985132 80979071 999987565 80978096 984020207 548465497 984021916 548464109 999981420 10846108 999982629 10844146 999981420 10715115 999982629 10713153 999993832 20207073 999995338 20205498 999999996 228894946 999999997 226523006 999999919 204656658 999999923 204063680 999996504 24663854 999997542 24661569 999998169 196015441 999999746 196013937 999998169 91415574 999999746 91414070 983652542 548947557 983653811 548945688 999996307 657694351 999997674 657692616 999996307 657044005 999997674 657042270 984043579 554485495 984045341 554484149 999152027 81561626 999154314 81560589 999999995 772945753 999999996 770574178 978581243 715775301 978582427 715773298 999999435 776692824 999999752 776685343 999980051 78111408 999981437 78109697 999999789 719576418 999999932 719559835 999994254 624860940 999996307 624859785 978010747 715845894 978011995 715843994 999998060 63458119 999999365 63456302 999999435 776109108 999999752 776101628 999993513 30082979 999994783 30081112 999999930 781465980 999999951 781353077 978500605 716055677 978501819 716053724 999981420 10640084 999982629 10638123 999997287 4632082 999999286 4630896 999999955 227856979 999999976 227744085 999999144 7713370 999999638 7708571 999999955 216762055 999999976 216649167 998758132 196271526 998760581 196270558 983976269 554617410 983977534 554615536 999999999 210810517 1000000000 208440026 999999314 25899589 999999605 25891443 978117571 715990529 978118958 715988820 999133172 81575171 999135797 81574268 999999975 908934487 999999982 908595868 978105506 716052347 978107628 716051230 999999410 229679127 999999909 229674377 999998169 90904863 999999746 90903360 999985821 133286980 999987654 133285687 999993414 11036611 999994707 11034778 999999542 29376714 999999837 29368680 999999884 644425048 999999925 644367243 999999710 1098551 999999947 1088551 978116083 716047788 978117680 716046304 999993032 624998122 999994989 624996911 999982577 81526711 999984417 81525423 999998060 60408858 999999365 60407042 999998060 60366907 999999365 60365091 999998060 56067103 999999365 56065287 984090084 548475750 984091225 548473673 999999822 12827701 999999980 12812702 999999598 22658096 999999829 22647837 999999946 773053711 999999975 772971996 999999542 28672994 999999837 28664961 978584473 715745813 978585876 715744124 998844188 196273316 998846015 196272019 999999982 187749543 999999988 187354607 999999974 978899264 999999975 976529663 978024834 715819225 978026551 715817845 999999329 727327567 999999435 727305214 999080637 91965101 999081625 91962703 999999946 766338238 999999975 766256542 999997152 30235217 999998037 30232540 992109325 719886362 992111429 719885236 999996307 650686782 999997674 650685049 999996307 650542176 999997674 650540443 999111397 81579668 999112267 81576945 978116115 716044804 978117767 716043370 999999975 815780880 999999982 815442458 999999944 635202400 999999971 635114661 999994156 226148839 999994326 226134904 999999944 629181520 999999971 629093783 999990808 16514453 999991419 16510576 999997287 4630004 999999286 4628819 993144777 710131107 993146039 710129230 993362476 700609159 993363891 700607485 999189463 4825220 999190949 4823626 999998169 195462415 999999746 195460913 999998169 91256228 999999746 91254726 999994156 226067911 999994326 226053978 999998060 63979835 999999365 63978020 993364390 700673179 993366577 700672096 993369055 700633597 993371111 700632445 999981420 11029727 999982629 11027768 999994397 624835892 999996307 624834652 999986740 81528049 999988178 81526402 999999435 773574166 999999752 773566695 977961201 715741536 977961688 715736673 999994253 624869056 999996307 624867903 984087784 548551582 984089500 548550202 999998292 624632122 999999476 624630122 999998292 624066931 999999476 624064931 999999598 24433061 999999829 24422810 999999710 1585895 999999947 1575904 978104859 715917096 978106638 715915765 984097958 548484482 984098945 548482083 993127186 710127960 993129632 710126992 999999998 702530136 999999999 700162425 999999144 10329665 999999605 10324529 983769828 548492369 983773910 548491789 978115898 715982568 978117019 715980456 999999971 636549069 999999983 636351776 999999946 738829014 999999975 738747378 999999992 777478155 999999993 775110728 999999598 22937107 999999829 22926859 999996324 24793890 999998337 24792714 999998060 63791048 999999365 63789234 999143712 81561493 999144811 81559339 999981420 9926196 999982629 9924238 999999974 971753837 999999975 969386740 999999971 622683006 999999983 622485749 999999983 776802717 999999985 775619185 978686921 715738737 978688306 715737028 999999983 756085907 999999985 754902437 978683847 715758526 978685616 715757188 977356601 715069252 977357671 715067040 999997929 11009386 999999144 11007438 999997287 4524123 999999286 4522939 978109494 715968098 978111046 715966573 999999144 7587798 999999638 7583007 984084506 548954276 984085379 548951565 999973683 81173046 999975179 81171464 999999607 5174023 999999730 5154782 983769361 548518180 983771030 548516762 999981798 30748429 999983429 30746978 999999944 625399775 999999971 625312125 999999969 702264004 999999993 702165399 978094326 716056951 978096702 716055955 999990808 23215309 999991419 23211436 999995700 26679326 999997449 26677973 999999944 622318702 999999971 622231061 984087624 548854679 984089030 548852996 999999988 747827598 999999989 745461336 999999837 28443393 999999983 28427186 999999955 221468775 999999976 221356099 999999598 15465900 999999829 15455658 999999925 657386860 999999979 657343048 999972308 81149020 999972899 81145017 999999822 12240986 999999980 12226013 999982344 78097563 999984304 78096356 992047975 719887393 992049935 719886186 983649137 548904850 983650344 548902890 999999899 21134440 999999943 21080674 999999969 673080846 999999993 672982276 999999837 28836132 999999983 28819929 983651369 548923518 983652727 548921776 999998292 624413186 999999476 624411188 999998169 91401759 999999746 91400259 978117680 716047788 978119274 716046304 999121314 81565275 999122717 81563589 999999435 777338500 999999752 777331038 999012655 4964875 999013765 4962744 992121922 719869955 992124433 719869013 999993032 625045116 999994445 625043442 999999993 814534505 999999996 813746060 999991537 16368143 999993978 16367174 984094636 548480003 984095498 548477259 998736319 196261239 998737868 196259712 999991419 15594538 999991537 15574493 992058098 719748074 992059528 719746420 999993513 30158690 999998840 30158246 993145700 710133685 993147746 710132529 999999975 890329299 999999982 889991419 992123046 719740632 992124159 719738507 978100762 716064818 978101885 716062712 999999542 29918201 999999837 29910184 999999286 5822917 999999455 5808923 999999988 151084916 999999989 148719983 993369025 700679435 993372389 700678732 999999919 210833157 999999923 210241950 998965527 91966073 998967392 91964805 999103104 81575762 999106038 81574956 999999341 6965229 999999588 6955655 999999976 222589174 999999984 222293578 999995795 24786013 999997897 24784888 999998060 63152057 999999365 63150245 978020213 715866377 978021962 715865025 999990808 16213691 999991419 16209821 999999930 808738658 999999951 808626062 977994382 715739212 977995618 715737299 999998292 624188148 999999476 624186151 978590938 715745899 978592740 715744587 984075214 548578661 984076687 548577056 984082890 548466653 984084131 548464748 993361943 700644333 993363405 700642716 999999998 22876839 999999999 20512795 999998169 195863496 999999746 195861997 999998169 195604023 999999746 195602524 999998169 91333623 999999746 91332124 999999930 783105775 999999951 782993208 993094734 710178143 993095708 710175716 999999605 25064660 999999895 25056509 992062771 719746202 992063486 719742896 999999899 24162808 999999943 24109086 983646758 548918668 983648228 548917060 993238950 700598723 993239744 700595746 999981420 9916227 999982629 9914272 999981420 9856558 999982629 9854603 999999837 28093722 999999983 28077533 983745794 548531165 983750171 548530625 978685710 715781458 978687056 715779702 999996307 651272234 999997674 651270505 999999045 196211510 999999639 196207531 999183197 4831861 999185626 4830888 998850875 196255946 998852817 196254729 999999996 854083358 999999997 851719978 999998060 63866723 999999365 63864912 999998292 623974981 999999476 623972985 999998292 623503981 999999476 623501985 999977418 80961965 999979179 80960623 998752294 196279771 998753942 196278337 999999998 897314269 999999999 894951111 992112177 719741706 992114054 719740447 999999982 108699001 999999988 108305152 984094456 548494743 984095723 548492878 999999816 24775562 999999966 24759809 999991419 17661511 999991537 17641486 999999993 778587974 999999996 777800325 984087530 548510604 984088283 548507466 998740535 196266190 998741904 196264464 999984452 133235492 999985846 133233797 984092416 548561629 984094476 548560482 992127414 719751311 992128586 719749295 999991419 22869596 999991537 22849573 999999598 17106646 999999829 17096418 993095708 710181392 993096919 710179441 999991537 18914845 999993450 18913610 999991419 23699726 999991537 23679705 999993400 133255426 999996623 133254693 999981420 10926277 999982629 10924323 999984927 30796560 999986466 30795025 999999410 227421075 999999909 227416341 977328655 715061596 977329963 715059790 999993032 625252323 999993846 625249421 999999789 716077568 999999932 716061049 999996307 651504305 999997674 651502577 999994314 24879823 999996239 24878596 984052396 554485495 984054321 554484268 999999435 775361530 999999752 775354079 999999435 720104715 999999752 720097264 999999789 713059511 999999932 713042994 999999992 139746269 999999993 137384356 999999944 621210086 999999971 621122610 999999944 621297561 999999971 621210086 983754648 548549991 983756658 548548816 993351092 700659777 993352940 700658499 999999946 750195754 999999975 750114320 999999955 214628888 999999976 214516432 998736358 196300722 998738173 196299421 999999884 644510831 999999925 644453238 999995051 625170233 999996307 625168353 999994412 625405581 999995696 625403742 999999410 229296737 999999909 229292005 999994634 18884288 999995338 18880934 992122635 719889593 992123784 719887538 999999979 639717734 999999997 639586558 993338970 700600516 993340995 700599350 999015511 4964526 999017102 4963042 992066703 719745500 992067982 719743654 999999638 7806884 999999843 7795367 998829654 196276485 998830742 196274315 998749603 196300675 998751339 196299315 984093486 554473961 984095652 554472871 999999144 10236772 999999638 10231993 999999789 713547386 999999932 713530877 978578382 715776737 978580026 715775301 999998060 56388190 999999365 56386381 999177184 4828640 999179200 4827469 999999329 733808437 999999435 733786166 999999994 772123421 999999995 769762719 999999045 196227080 999999639 196223106 992065188 719748793 992066099 719746202 999999789 716390360 999999932 716373854 999999931 620626865 999999944 620445300 999999925 654669828 999999979 654626119 999994081 20195784 999994910 20192937 999988205 133237989 999989494 133236158 999999982 77676205 999999988 77282847 999998840 30005192 999999605 30002107 999972404 133256846 999973356 133254367 999984068 81531274 999985312 81529377 999998292 624223060 999999476 624221067 999999789 718307082 999999932 718290582 978581132 715762786 978582427 715760964 977334129 715071432 977335434 715069624 999998060 60130771 999999365 60128963 999998060 56374217 999999365 56372409 999999542 28466603 999999837 28458605 999999789 716214390 999999932 716197891 977333987 715074133 977335057 715071928 977360624 715080525 977362761 715079421 999990003 80962602 999990839 80959780 999999435 733531053 999999752 733523611 998759181 196257288 998760581 196255603 978021565 715821240 978023250 715819840 999994156 223907743 999994326 223893867 984092779 548470289 984094562 548468966 999999991 20555071 999999992 18196176 999999948 117216852 999999959 117002412 999981420 9760630 999982629 9758679 984073237 548852156 984074538 548850343 999977231 78127616 999977902 78124101 999999943 24053215 999999970 23965862 999999476 621593697 999999484 621298882 998818135 196280521 998819849 196279145 999999978 755413730 999999980 754234509 999994314 24924734 999996689 24923741 984072485 548699623 984074841 548698622 999999948 122280016 999999959 122065623 992123138 719881548 992124419 719879707 999999410 229515622 999999909 229510896 999999410 229501327 999999909 229496601 999973149 80987339 999974192 80985078 999999710 3486860 999999947 3476910 999998060 60226940 999999365 60225133 999996307 657215917 999997674 657214192 999995240 625085307 999996307 625083097 999139115 91966663 999140739 91965211 999993414 11021765 999994850 11020123 999999978 739354698 999999980 738175761 999999435 733766534 999999752 733759096 999999994 768150840 999999995 765793002 999999974 851395518 999999975 849037697 999991967 80969560 999994048 80968427 999989866 133242167 999990985 133240060 999999975 924112473 999999982 923775655 999999542 28521854 999999837 28513862 983762427 548513750 983764430 548512573 993226490 700624327 993227168 700620850 999058937 91966522 999060009 91964323 978007576 715737897 978009278 715736512 978103895 715978337 978106036 715977236 999999435 773332686 999999752 773325250 993371700 700612977 993373025 700611198 999985711 133273886 999987527 133272588 999952459 3182 999954732 2145 998968532 91964674 998970596 91963532 978617262 715745461 978618860 715743986 977979425 715747639 977982231 715746799 999978849 78120666 999980867 78119498 984096504 548573623 984097652 548571570 999998060 59806948 999999365 59805142 993114604 710127341 993116090 710125755 999996307 658065825 999997674 658064101 999999638 10030542 999999843 10019046 999993900 133221245 999995501 133219773 978110301 716054166 978111970 716052754 999990808 16076934 999991419 16073077 999994156 228351009 999994326 228337147 999999923 209697311 999999955 209623670 999999965 6880410 999999967 5702191 999999983 625837812 999999987 625248717 999999455 4978930 999999607 4963428 984078881 548843197 984080129 548841309 999998292 624534710 999999476 624532720 999999976 213362278 999999984 213067787 999999476 635262842 999999484 634968351 978487752 716054559 978488685 716052034 999999975 732320933 999999978 731535676 999999435 733540720 999999752 733533289 999998060 63570872 999999365 63569067 984091877 548699181 984092986 548697057 978110825 716000672 978111969 715998613 999999982 182568767 999999988 182176186 984086504 548487023 984088067 548485516 999999730 4772646 999999894 4758284 999999969 702841585 999999993 702743445 999996307 656955305 999997674 656953582 999996307 656655477 999997674 656653754 999995312 625150674 999996307 625148307 992136784 719852472 992137925 719850408 992123521 719849810 992124688 719847792 999999435 775512196 999999752 775504767 999987724 81180857 999989571 81179582 999997287 5108678 999999286 5107500 999990808 23356955 999991419 23353101 999999410 227732387 999999909 227727668 999999841 652664206 999999884 652609444 999999998 785701030 999999999 783346294 998757740 196254129 998758724 196251736 999998840 30320999 999999605 30317921 999986179 80988467 999988259 80987335 999999789 717790749 999999932 717774284 999998169 195873783 999999746 195872290 999999943 17351371 999999956 17170262 999999730 5222960 999999894 5208604 999997287 4579919 999998519 4578008 999999946 762412696 999999975 762331512 999152041 81571304 999153752 81569928 999999997 894396585 999999998 892042269 999979100 133215916 999983342 133215361 977992778 715739212 977993555 715736182 999992321 81174837 999994410 81173710 999983840 80961700 999984638 80958750 999999923 216087469 999999955 216013904 984080675 548836602 984082063 548834906 999990179 80947919 999992319 80946819 999972078 135222942 999973585 135221380 992090365 719743947 992091852 719742364 993354869 700670539 993357339 700669586 999999144 9380515 999999638 9375750 999999144 10877612 999999605 10872506 984091532 548714585 984093326 548713273 978015042 715816515 978016928 715815267 999999435 771748149 999999752 771740724 999999435 720710677 999999752 720703252 999994314 24746299 999996027 24744925 978103517 716010384 978104030 716005796 999990808 16141379 999991419 16137527 978025757 715815267 978026478 715812003 999999999 997572195 1000000000 995218953 983761950 548531204 983765096 548530456 984097913 548455794 984099677 548454460 999998840 30252425 999999605 30249349 999999946 730598759 999999975 730517619 999023712 4950296 999026158 4949334 999999816 24918500 999999966 24902813 998827102 196265792 998828992 196264547 999996330 10891739 999997808 10890147 999998169 91224408 999999746 91222916 999998169 90844189 999999746 90842697 983754522 548507683 983756813 548506656 999999410 227663619 999999909 227658904 984089327 548854871 984093038 548854237 999999969 716843942 999999993 716745910 999971889 81544832 999973443 81543318 978114695 716058833 978115726 716056551 999999986 725725632 999999988 724549273 999981420 10658760 999982629 10656814 999981420 9893913 999982629 9891967 999981420 9772904 999982629 9770958 999993085 80967255 999994048 80964812 999996307 656726661 999997674 656724940 999996307 650697149 999997674 650695428 999999988 111544647 999999989 109192048 977349452 715078379 977350645 715076407 999990267 30763963 999991332 30761754 993367658 700606270 993369028 700604553 999999410 230310069 999999909 230305355 999995196 81178565 999996932 81177210 984074979 548840129 984079451 548839603 999994690 30234124 999996175 30232540 999999975 734178241 999999978 733394166 984097037 548545697 984098032 548543333 999999975 790570054 999999982 790234029 999999969 675559632 999999993 675461626 993128538 710121182 993129632 710119032 984084683 548709090 984086535 548707820 999999969 680644461 999999993 680546460 984100842 548480003 984101395 548475750 999999410 230482834 999999909 230478121 999984066 81136782 999985764 81135397 999999969 696348835 999999993 696250847 999999435 732162220 999999752 732154802 999993128 19004481 999995338 19003417 977324061 715078523 977325538 715076931 999999638 9246740 999999843 9235270 984099570 548840223 984100449 548837548 978106463 715912963 978108247 715911645 999164772 4817170 999166365 4815694 999999955 203494141 999999976 203382176 999995142 24988986 999997020 24987734 999999997 951715136 999999998 949363890 999996307 657820790 999997674 657819070 999990808 23609379 999991419 23605531 998836331 196275231 998837237 196272636 999999149 25799485 999999314 25785237 992136577 719873538 992140009 719872853 979505894 713411307 979514799 713411043 999999946 767645599 999999975 767564539 999999979 655756797 999999997 655626203 999009126 4947964 999009885 4944867 984094617 548827882 984096661 548826732 993091857 710158331 993092898 710156073 999999998 178291758 999999999 175941206 978018884 715818623 978020650 715817292 978496764 716048769 978498141 716047062 999990808 16007335 999991419 16003488 978096702 716056951 978098036 716055189 978683847 715794387 978685010 715792366 978115929 715983953 978117626 715982568 999999329 735200722 999999435 735178549 999999717 14051506 999999822 14029122 978023250 715816054 978026551 715815342 999998060 63268479 999999365 63266678 999981420 9912047 999982629 9910103 999994156 221876635 999994326 221862810 999998292 623481501 999999476 623479516 992090365 719746954 992092335 719745761 999999822 14899324 999999980 14884450 999173263 4829448 999174030 4826384 999999829 24252337 999999899 24218765 999999829 19628420 999999899 19594848 993134603 710123789 993137056 710122831 999999144 7570386 999999638 7565629 999999925 648459143 999999979 648415626 999990808 23788793 999991419 23784947 977957699 715756608 977961201 715755937 999999997 811638116 999999998 809288473 999986297 134202054 999987425 134199971 999999985 19893338 999999986 17543716 999991419 19382674 999991537 19362762 983765827 548543242 983769237 548542553 999117056 81578458 999118808 81577117 992138308 719889593 992139690 719887893 999988487 81535168 999990746 81534128 978029181 715823957 978030397 715822025 999991419 23985460 999991537 23965551 983751350 548547300 983752624 548545456 983763101 548521629 983764773 548520224 999999923 215979986 999999955 215906575 983749846 548505024 983751141 548503210 999981420 10123610 999982629 10121667 999998292 624650977 999999476 624648993 999999476 625685041 999999484 625391422 999999899 20462361 999999943 20408976 999997287 4830917 999999286 4829742 983641292 548907525 983643066 548906201 992115219 719866442 992116921 719865062 999993032 624774876 999994278 624772991 999999607 4361120 999999730 4342025 999985607 135186888 999986441 135184072 999989897 133223151 999992186 133222125 999150074 4977034 999151714 4975602 999142711 4974643 999144253 4973120 999989037 64104435 999991546 64103499 999997879 81539372 999998169 81531274 999999894 4428720 999999965 4395644 999972826 78092412 999974754 78091194 993366087 700684547 993367720 700683109 998836964 196252532 998838454 196250956 999999329 775919346 999999435 775897193 999999710 317583 999999947 307675 999998169 91352796 999999746 91351307 999999286 6582097 999999455 6568203 993345634 700602731 993346712 700600553 993350039 700635575 993352022 700634391 999995216 10909462 999996851 10908026 999999975 988785126 999999982 988449722 993344516 700604511 993345634 700602411 999999410 231140325 999999909 231135620 999998840 29983323 999999605 29980254 999991138 81171353 999994125 81170567 999987363 80994848 999988506 80992794 999999884 641530725 999999925 641473464 993167010 710127011 993168297 710125187 984101630 548545369 984102815 548543388 999999435 776326580 999999752 776319175 983971871 554609523 983974980 554608768 993161969 710123908 993163904 710122695 999996307 657010517 999997674 657008800 993231248 700597636 993233227 700596450 999999710 470942 999999947 461039 999999144 9850768 999999638 9846017 999999329 723983157 999999435 723961016 978017429 715819202 978018884 715817589 992107234 719860247 992109405 719859166 999994156 222565866 999994326 222552061 999999975 763713848 999999978 762931565 999997669 11094899 999999144 11093308 992110172 719855691 992112014 719854417 984098142 548829189 984099216 548827004 993366401 700682272 993368383 700681088 977964053 715749189 977964319 715740367 999994159 11059763 999995231 11057574 993349770 700671241 993351719 700670037 993330740 700618579 993331883 700616526 999998169 195920121 999999746 195918633 999998169 91439411 999999746 91437923 999999286 5220624 999999455 5206739 992125857 719876062 992127176 719874283 999999144 9373848 999999638 9369098 992118234 719881135 992119859 719879691 999999435 721290921 999999752 721283519 978111569 715980456 978112667 715978319 999998060 63425055 999999365 63423257 999998060 63249080 999999365 63247282 999998060 56085440 999999365 56083642 999999923 198285084 999999955 198211762 999980019 80958750 999981925 80957519 999999605 10331011 999999836 10320854 978010747 715824458 978012018 715822612 983646376 548952310 983648445 548951176 999991598 78095347 999994301 78094479 999999605 25952860 999999895 25944770 993331054 700597409 993332400 700595666 978114479 716044804 978116115 716043370 999996773 24696446 999998409 24695012 999019004 4973283 999020231 4971371 999999982 169225995 999999988 168834998 984083055 548712572 984084161 548710451 999991537 20077696 999994073 20076771 999999931 622227111 999999944 622046669 999994671 11051625 999997644 11050836 999999882 31626956 999999997 31606559 999990808 23744363 999991419 23740524 999999598 24328420 999999829 24318266 999999542 29703574 999999837 29695623 984033419 548454859 984034461 548452608 999999789 713911635 999999932 713895233 999998130 11093308 999999144 11090995 993135086 710129664 993136676 710128189 999999542 27057636 999999837 27049686 978683847 715772120 978684737 715769485 999999988 129298054 999999989 126952908 999999946 768593655 999999975 768512789 984032685 548467113 984034764 548465985 999999598 18825115 999999829 18814963 999998060 63115199 999999365 63113402 999999286 4409107 999999455 4395231 999998169 195732947 999999746 195731460 999998169 91055352 999999746 91053865 999993468 20310161 999995338 20308907 999132851 91966176 999134056 91964230 993155197 710113023 993157637 710112062 999997287 4385941 999999286 4384768 978094733 716009116 978096161 716007474 999996918 10983369 999998207 10981550 993349689 700602686 993351508 700601397 999184126 4813928 999185125 4811581 999999329 728583820 999999435 728561701 999999923 203162821 999999955 203089552 984089334 554476915 984091234 554475681 984086667 548469974 984087971 548468176 999999923 216362308 999999955 216289043 993130721 710120687 993132372 710119267 999990808 15904267 999991419 15900430 999996307 650337719 999997674 650336004 999999605 25583435 999999895 25575351 999998292 624123541 999999476 624121561 984074912 548850343 984076320 548848678 999999410 228102298 999999909 228097600 999996834 80950702 999998169 80948946 999981420 10135279 999982629 10133340 999994945 11108833 999996123 11106843 999138706 81568278 999140928 81567223 999999946 773656822 999999975 773575991 999999329 728279874 999999435 728257760 999999971 628955005 999999983 628759666 984069953 548576988 984070924 548574574 992132554 719871197 992133905 719869462 978003324 715738665 978004268 715736182 977996901 715744741 977999589 715743869 999006745 4964866 999008514 4963541 978018969 715741671 978021034 715740536 999999542 28703442 999999837 28695497 999999542 28251391 999999837 28243446 999999542 27776947 999999837 27769002 992099642 719749786 992100888 719747905 999999329 723144573 999999435 723122463 984072584 554480922 984074159 554479434 999999925 646604417 999999979 646561019 984071828 554478835 984072859 554476562 999998169 195851928 999999746 195850442 999998169 195678894 999999746 195677408 984077741 548574041 984078883 548571989 998754968 196265562 998757185 196264505 983758060 548498699 983758574 548494140 984029336 548449766 984031715 548448781 999999410 228687987 999999909 228683291 999999822 12842532 999999980 12827701 978097975 716010267 978099355 716008569 999998840 30750099 999999605 30747036 999990808 15651519 999991419 15647684 999994156 229444634 999994326 229430851 999994156 223110074 999994326 223096291 984075012 548700603 984076313 548698802 999996307 651393573 999997674 651391859 999985504 78132593 999987154 78131173 999993032 625002151 999994751 625000788 999986813 135186888 999987645 135184072 999982799 80957576 999984638 80956302 999146400 4951030 999147572 4949031 999999899 23904984 999999943 23851738 999999329 776650144 999999435 776628042 999999598 17044118 999999829 17033976 999996562 24869239 999997495 24866728 993351453 700619477 993352823 700617767 979494848 713842050 979496010 713840034 992095461 719744923 992097294 719743645 999998014 11045422 999999144 11043349 999998060 63463576 999999365 63461781 999998060 63128471 999999365 63126676 999998060 59912768 999999365 59910973 999991537 16314815 999993028 16313244 984065608 554482804 984067418 554481510 999991537 20141242 999993050 20139694 999989932 78068398 999991735 78067099 999978238 81540926 999979449 81538992 999999435 734608322 999999752 734600934 999996061 80966550 999998169 80965439 999990808 16356487 999991419 16352654 999975886 135204462 999977953 135203329 999999598 24399753 999999829 24389615 999999923 203089552 999999955 203016369 999999341 6992074 999999588 6982593 999999946 767564539 999999975 767483788 999993082 20213748 999995338 20212710 999999542 28203682 999999837 28195744 999999435 735438334 999999752 735430947 999996307 657804145 999997674 657802432 999996307 657627689 999997674 657625976 993343876 700591786 993345634 700590454 978025597 715856739 978026648 715854511 983971871 554608484 983972699 554605656 978015189 715838188 978016690 715836628 999999975 798062629 999999982 797728121 984095846 548553384 984097015 548551381 999983962 135222471 999985245 135220646 998883452 91964608 998884681 91962703 999998060 56392885 999999365 56391091 993351689 700626579 993353325 700625148 999999822 13195111 999999980 13180294 978108716 715961343 978110181 715959745 999999930 786947611 999999951 786836132 984096059 548855463 984098568 548854530 984076264 548568409 984078773 548567476 999997287 4972445 999999286 4971274 999999598 15889605 999999829 15879472 998958169 91966663 998959150 91964277 984034764 548464604 984036376 548463152 999999925 653103553 999999979 653060210 978103234 716034970 978104208 716032567 999999884 647652592 999999925 647595507 993143152 710110869 993144587 710109238 983759062 548531692 983760418 548529966 999991419 21410384 999991537 21390550 999157804 81569413 999159130 81567648 999999329 775595888 999999435 775573809 999993414 11094899 999994885 11093308 999994064 20088195 999995338 20086358 983753036 548508624 983753974 548506129 999996307 650215029 999997674 650213317 999998169 91469172 999999746 91467688 999998169 91059810 999999746 91058326 999156836 81579552 999157909 81577371 999985863 81172789 999987029 81170782 999999843 9043980 999999936 9018817 993362164 700642716 993363613 700641101 999999975 961829032 999999982 961494734 999999144 10307326 999999638 10302589 983646376 548953441 983648445 548952310 992109524 719857762 992110843 719855988 999989360 81182173 999991138 81180857 999999367 24739656 999999638 24731022 999994112 10978490 999995607 10976925 978013690 715862583 978015614 715861367 993356616 700622947 993357832 700621023 999998292 624714450 999999476 624712474 999163852 4944644 999164772 4942101 999990808 15446403 999991419 15442574 999991419 19859680 999991537 19839854 992139634 719856833 992141536 719855603 999975779 135201163 999977312 135199637 999999314 25390308 999999605 25382269 978018041 715868027 978020213 715866950 999997325 9071840 999999144 9070554 999997287 4637228 999998475 4635259 983644527 548961057 983647089 548960144 977975598 715737812 977977033 715736182 983765903 548496813 983767451 548495302 999996307 657957776 999997674 657956065 978016735 715741027 978018106 715739321 999999789 714743960 999999932 714727604 999999410 228741727 999999909 228737040 999999899 19237682 999999943 19184528 999984795 30779603 999985656 30776887 999999975 962881351 999999982 962547285 999993032 625094697 999996307 625093983 999993032 624867884 999996307 624867170 999990808 16376454 999991419 16372627 999981420 10189575 999982629 10187641 978107430 716025447 978109597 716024368 999999975 892568375 999999982 892234354 999983110 81001609 999984440 80999851 983975922 554614327 983977794 554613078 999999923 219922451 999999955 219849388 999994156 229770241 999994326 229756488 993361116 700621339 993363003 700620100 999995786 10996191 999997925 10995098 999999909 197730255 999999919 197496466 999999410 229286218 999999909 229281533 999990870 81541557 999992937 81540426 983756804 548498222 983757795 548495863 999999789 717101379 999999932 717085031 983745794 548502696 983747150 548500972 999999144 10905901 999999605 10900830 993129632 710131988 993140115 710131765 999999931 624730472 999999944 624550652 998928917 91964458 998930249 91962703 999975191 133262279 999976196 133259953 999999329 734733359 999999435 734711306 993346341 700619523 993347970 700618088 999996307 656818533 999997674 656816823 999996307 651409347 999997674 651407637 999995567 30183321 999998591 30182548 999994156 227068871 999994326 227055121 999999996 51124000 999999997 48786658 992082179 719750726 992083732 719749221 999998060 64067745 999999365 64065954 999998060 63932056 999999365 63930265 999999982 106846616 999999988 106457078 999993032 625247570 999994019 625245202 984067172 548835689 984068373 548833743 999998169 195731460 999999746 195729978 999998169 90817615 999999746 90816133 999998169 90608645 999999746 90607163 999999836 10471165 999999981 10455047 984095056 548490427 984096133 548488257 999990808 15687529 999991419 15683704 984035519 548451100 984036694 548449111 992086661 719749221 992087891 719747321 999999710 3448977 999999947 3439117 998857540 196280691 998862131 196280182 999999144 11046540 999999605 11041471 998754517 196310079 998755903 196308393 999990652 135194812 999991622 135192403 998999642 4956524 999001745 4955413 978026360 715745292 978028174 715744004 983971080 554582907 983972981 554581678 984088963 548588234 984091016 548587096 999997314 24994035 999999367 24992897 999999435 776159555 999999752 776152185 999996307 656758181 999997674 656756472 999996307 650343568 999997674 650341859 978116681 715993327 978118958 715992301 984081257 554475595 984082827 554474107 999999542 27176071 999999837 27168152 992128247 719888349 992128799 719884117 999999410 229450188 999999909 229445507 999992564 18902142 999995338 18901300 998851949 196261865 998853947 196260696 983646647 548947331 983648445 548946032 999990385 80981389 999992932 80980472 999998169 91336694 999999746 91335213 999998169 91199291 999999746 91197810 999998169 91177124 999999746 91175643 999999329 728814114 999999435 728792081 999991419 24568951 999991537 24549161 999999367 24965756 999999638 24957139 983979432 554649971 983981416 554648794 999999946 723710969 999999975 723630447 999999476 619017843 999999484 618725951 998750130 196310745 998752298 196309668 999996307 658028345 999997674 658026637 999996307 656928130 999997674 656926422 999999410 230690116 999999909 230685437 999993521 625234258 999994593 625232080 998862131 196277851 998863876 196276513 999999931 625987728 999999944 625808131 978101372 716026363 978102981 716024912 999998060 59764842 999999365 59763053 983763622 548501585 983764650 548499314 999981420 9665629 999982629 9663698 998964839 91963985 998966660 91962703 983652542 548918668 983653789 548916796 999999410 228705515 999999909 228700837 999999993 677287514 999999995 676120356 979496010 713838434 979497212 713836492 999994156 223190829 999994326 223177098 999982550 30761408 999985319 30760565 984045043 548449968 984047307 548448937 999999607 6231675 999999730 6212698 978110040 715976483 978111522 715974908 999999829 21487938 999999899 21454593 999999948 127545784 999999959 127333595 999999598 20525184 999999829 20515080 992109907 719740063 992111407 719738507 983655445 548938411 983657267 548937130 999998169 90831999 999999746 90830519 999994704 30016612 999995856 30014586 999999329 723618539 999999435 723596521 999993173 19003417 999995338 19002339 999999993 863592060 999999996 862814111 999999410 230056553 999999909 230051876 999997121 11093308 999998130 11090995 978117418 716061860 978118818 716060193 984097794 548851693 984098568 548848678 983760942 548494811 983762277 548493063 993359146 700677961 993360820 700676567 999999976 230122336 999999984 229830646 999971889 81508313 999973352 81506718 999999946 725314856 999999975 725234393 999990808 16206997 999991419 16203178 999998060 62879533 999999365 62877745 978018566 715845540 978021043 715844598 993119069 710132267 993120882 710130980 983772153 548533020 983773910 548531692 999988004 78074003 999990224 78072952 999999789 718531806 999999932 718515490 999999329 732446110 999999435 732424099 998738578 196265049 998739827 196263181 999999144 10994446 999999605 10989385 999999993 826467046 999999996 825689342 999999999 783830075 1000000000 781496968 999999730 6187360 999999894 6173135 984085119 548726701 984085924 548723803 999999605 10593952 999999836 10583853 999981952 133288728 999983844 133287495 999999710 949447 999999947 939604 999994156 229563453 999994326 229549731 983745794 548498504 983748415 548497614 999999045 196129061 999999639 196125134 978111183 716014022 978112274 716011884 984101395 548480003 984102826 548478373 999999435 735129190 999999752 735121832 999991758 18992907 999992727 18990500 999997655 24883972 999999247 24882507 999999829 22062684 999999899 22029367 999999435 733060786 999999752 733053429 999981420 10373128 999982629 10371199 999996307 657467067 999997674 657465361 983755582 548530714 983757073 548529150 999998745 24816823 999999367 24813074 999999946 750046316 999999975 749965909 999993032 625161417 999996307 625160705 998745204 196313327 998747410 196312270 999999948 64493728 999999959 64281755 999987624 30768319 999988671 30766092 978689383 715777753 978690297 715775202 998735777 196274728 998737583 196273437 984040803 548462834 984041718 548460286 984081604 548448420 984083850 548447382 984095020 548834956 984096188 548832960 998923731 2783 998924569 1 983755480 548526955 983757488 548525794 999999789 714541587 999999932 714525286 999151404 81566511 999152789 81564828 993163983 710121295 993165013 710119032 999997287 4789253 999998486 4787309 999998169 195648804 999999746 195647326 999998169 91063283 999999746 91061805 999999598 22784334 999999829 22774244 999996307 657839788 999997674 657838083 999999144 9605956 999999638 9601238 999999121 26585508 999999149 26502269 984092837 548578436 984094476 548577014 984066214 548842900 984068374 548841821 978486117 716049909 978486977 716047199 999991235 135232978 999992537 135231188 984043437 548455393 984045030 548453930 983648445 548954326 983651006 548953416 999982712 80977326 999985132 80976363 999999717 13151710 999999822 13129516 998913319 2783 998915426 1677 999999923 202869519 999999955 202796697 999984071 135262766 999984952 135260121 999978339 133223838 999979331 133221489 999999816 24655715 999999966 24640181 993363944 700664783 993365171 700662884 998997210 4952980 998998220 4950673 978023797 715859406 978025162 715857699 993129632 710121538 993132370 710120687 999994828 24916688 999996072 24914815 999995138 9049735 999996135 9047398 984099345 548543367 984100892 548541861 999981420 11111128 999982629 11109201 999979100 133213651 999980757 133212245 999993702 19025038 999995338 19023614 999999435 773849564 999999752 773842215 999999435 771346246 999999752 771338897 999993513 30079523 999995343 30078250 999999923 230284504 999999955 230211706 992144178 719870202 992145657 719868627 993198210 700551749 993198593 700545667 999999435 734116205 999999752 734108857 978683847 715798960 978686091 715797922 999998169 195375524 999999746 195374047 998741828 196289922 998743112 196288108 999999314 25640742 999999605 25632738 999999930 798605751 999999951 798494846 999999975 789747674 999999982 789414962 999998292 624151883 999999476 624149916 999997974 4623137 999999286 4621362 993094299 710175716 993095009 710172436 999999605 30568124 999999855 30558809 993240897 700617578 993243180 700616558 978577385 715773298 978580651 715772585 993363891 700592061 993365987 700590950 999992383 20327299 999994387 20326137 999167733 4810302 999168859 4808234 984079025 548591289 984081183 548590210 999991690 81160825 999993670 81159649 983749332 548541644 983750652 548539880 983655047 548896042 983657540 548895108 983836404 548539781 983838209 548538491 999999829 20776391 999999899 20743128 999999435 721083853 999999752 721076508 999999996 182754963 999999997 180426635 999999975 894079610 999999982 893746992 999979760 78099727 999980755 78097387 999188511 4829242 999190949 4828287 984091805 548535173 984093069 548533331 999999923 229754441 999999955 229681683 983658409 548953050 983659334 548950533 992133345 719843554 992134792 719841945 999998060 63992403 999999365 63990619 999998060 56091556 999999365 56089772 999981767 80996322 999983424 80994917 999999598 16551226 999999829 16541148 999996307 656732253 999997674 656730550 999996307 651015790 999997674 651014087 999999930 805238777 999999951 805127921 984076320 548859090 984078421 548857982 999999598 17898193 999999829 17888116 999999144 10002057 999999638 9997345 978109371 715988771 978111569 715987712 999998169 91519374 999999746 91517898 999186031 4826843 999187389 4825129 999999969 706756259 999999993 706659285 999981420 10793658 999982629 10791733 992125929 719882917 992128247 719881913 999999947 830643 999999955 539738 999999943 19060711 999999956 18881700 999999435 719969865 999999752 719962524 992115176 719751939 992116388 719750019 999998508 24862085 999999367 24859376 999996156 135235595 999998169 135234439 999999286 4990475 999999455 4976706 999991419 16096014 999991537 16076294 999999925 651622513 999999979 651579422 999999996 699544739 999999997 697217869 999999410 230247397 999999909 230242734 999998060 60060265 999999365 60058482 999999998 793415265 999999999 791088457 999999975 986239172 999999982 985906777 999985196 30757085 999986221 30754815 999996307 657668121 999997674 657666419 999996307 650219903 999997674 650218201 999999884 650906386 999999925 650849640 999999598 21296105 999999829 21286034 999999943 18646584 999999956 18467635 999999710 777743 999999947 767928 999999435 773226449 999999752 773219111 984085554 548831802 984086810 548829950 999990808 23513707 999991419 23509900 999998169 195564971 999999746 195563496 999998169 195451829 999999746 195450354 999999948 12053263 999999978 11975730 998875114 196257647 998877102 196256477 978107449 715910534 978109028 715909061 999999975 971693235 999999982 971360980 999999948 187989841 999999959 187778407 999997880 9054198 999999144 9052358 999999925 652973418 999999979 652930349 999999607 5335659 999999730 5316751 999971889 133252469 999972322 133247098 983641613 548957045 983642823 548955123 998997134 4948518 998998993 4947267 999998060 63775351 999999365 63773569 999998060 59907136 999999365 59905354 983647445 548926882 983648140 548923536 999107170 91966663 999108483 91964892 999992712 135260395 999993973 135258551 999999144 11019219 999999605 11014175 999999899 19879071 999999943 19826224 999996307 656635004 999997674 656633303 999999144 10260553 999999638 10255846 999999144 9837984 999999638 9833277 984043410 554476581 984045185 554475271 999996637 24775920 999997739 24773810 999999435 732637561 999999752 732630226 999993389 18994100 999995338 18992907 984095846 548551381 984097015 548549392 999972859 134202160 999975152 134201146 999999882 32165925 999999997 32145707 983751335 548524690 983754209 548523881 999999789 713391800 999999932 713375542 999999435 732938999 999999752 732931665 999999946 735925784 999999975 735845616 993102325 710112682 993103000 710109238 999999956 21498450 999999970 21332400 999999605 25196934 999999895 25188918 993125549 710119032 993126598 710116816 999985223 133290301 999986921 133288932 999999435 773679495 999999752 773672162 999999598 22007141 999999829 21997078 978105267 716029834 978106587 716028073 999998169 91045438 999999746 91043964 999999969 689990016 999999993 689893163 999999829 20285409 999999899 20252203 992089792 719741211 992091265 719739633 999981397 78101874 999982638 78100001 999994575 625311528 999996307 625310186 984070124 548567597 984072069 548566402 978491935 716056350 978493639 716054986 984067319 548838622 984068587 548836789 984076431 548709833 984078140 548708473 999998060 62883085 999999365 62881304 999999789 718102458 999999932 718086205 999999946 725074576 999999975 724994432 999992697 78115905 999993917 78114000 999999829 16314940 999999899 16281739 999999329 775646895 999999435 775624970 999981827 81157140 999983121 81155344 999999948 78626707 999999959 78415440 999999923 216434930 999999955 216362308 999996307 657482668 999997674 657480968 999999969 675289513 999999993 675192685 999999717 12656682 999999822 12634550 999154395 81568332 999155936 81566824 999999955 1448790 999999960 984027 999999144 7430758 999999638 7426054 999993281 133270131 999995467 133269068 999999607 5192915 999999730 5174023 999977902 78127616 999979357 78126019 978014748 715854960 978016127 715853275 999999435 734049027 999999752 734041697 999999435 720729521 999999752 720722191 998849100 196278614 998851645 196277701 999992750 78094479 999994062 78092708 984098196 548591713 984099695 548590163 999153919 4949281 999155217 4947491 999999435 734350778 999999752 734343449 983769597 548514680 983771958 548513696 999999931 628664903 999999944 628486194 999997249 24958894 999998657 24957244 993143759 710133685 993144636 710131036 999999997 53769321 1000000000 52994975 999999999 121779116 1000000000 119456086 984034461 548449111 984038494 548448535 978013162 715837880 978015189 715836734 999998169 195553565 999999746 195552092 999999882 32493935 999999997 32473736 999995836 24716219 999997026 24714267 978017859 715827098 978019517 715825697 999997021 196154754 999997129 196133247 999994841 30028618 999996113 30026792 999992662 78089554 999995054 78088583 999999605 26595627 999999895 26587618 999999975 995732802 999999982 995401003 992103445 719752124 992104689 719750257 999996307 657647780 999997674 657646081 999996307 650192501 999997674 650190802 999999946 762906081 999999975 762825994 983765827 548553384 983767633 548552098 999981420 10648989 999982629 10647068 999993414 9071653 999994562 9069630 999999982 81672838 999999988 81285790 999994800 625178054 999996307 625176513 992125140 719867349 992126644 719865805 999999996 684776901 999999997 682454786 984088029 548712058 984089474 548710451 999999598 18504406 999999829 18494354 999997644 11051625 999999144 11050077 993361753 700607005 993362963 700605086 999147301 81569413 999148476 81567437 983638650 548934644 983640259 548933201 999999991 22876839 999999992 20555071 999999996 715295828 999999997 712974062 999999435 776498744 999999752 776491420 977364049 715072811 977365354 715071032 999998060 63044809 999999365 63043030 999999946 753962823 999999975 753882769 978580599 715750382 978582427 715749112 999993414 10925264 999994310 10922673 999102683 91964104 999104340 91962703 983769121 548490436 983770216 548488316 999998169 195625245 999999746 195623773 999998169 91068281 999999746 91066809 999999936 8461264 999999965 8381220 999987154 78131077 999989176 78129929 998868276 196277618 998870133 196276368 999996307 657805843 999997674 657804145 999996307 650850054 999997674 650848356 983835237 548538723 983836404 548536734 999999598 15767895 999999829 15757847 978106638 715918837 978107329 715915478 999176024 4805455 999177441 4803817 999991537 20346569 999992263 20343372 999999607 4611201 999999730 4592331 999999989 132219743 999999990 129898804 979519679 713845436 979522697 713844667 999978928 135188615 999980190 135186776 999999329 734351242 999999435 734329348 998738260 196266530 998739827 196265049 999997943 4321414 999999286 4319686 993227935 700619049 993228937 700616733 993368087 700609638 993370062 700608463 999999991 94475316 999999992 92154750 983757488 548514370 983759246 548513050 999999435 777230477 999999752 777223157 999999435 771760536 999999752 771753216 999999982 79954336 999999988 79567598 999999598 20112526 999999829 20102481 999999598 18620093 999999829 18610048 978579529 715766254 978581184 715764852 999998060 63852387 999999365 63850609 999998060 56295730 999999365 56293952 999148385 4972611 999149312 4970108 999999455 5635570 999999607 5620305 999994005 30244852 999994895 30242245 999989037 64079068 999991644 64078178 999979625 133225425 999981087 133223838 999977369 80979258 999978427 80977065 993126030 710130393 993127186 710128386 984080247 548708727 984082115 548707485 999997287 4486466 999998525 4484592 999990808 24457907 999991419 24454110 998871429 91966663 998873233 91965377 999992310 20084638 999994719 20083675 977336916 715065486 977338536 715064054 999999899 21523107 999999943 21470384 999999435 772279072 999999752 772271754 999996307 656974249 999997674 656972552 999996307 651077656 999997674 651075959 999999710 2358851 999999947 2349063 999988629 78080135 999990610 78078964 999999789 718656342 999999932 718640120 999999931 635125715 999999944 634947276 999974772 135246993 999976613 135245733 999994156 230228956 999994326 230215311 984047307 548449968 984048204 548447382 999999789 715373015 999999932 715356794 999999836 10534323 999999981 10518326 999998840 30410356 999999605 30407324 999998292 624854051 999999476 624852092 992106126 719886343 992107014 719883731 977964368 715745792 977966234 715744549 999976432 78091045 999977996 78089562 999999410 230602309 999999909 230597661 999999946 761303917 999999975 761223943 983772153 548541691 983773910 548540371 999992213 18982932 999994114 18981712 978000091 715738665 978002321 715737625 984089631 548590695 984090810 548588728 999994701 24728112 999995756 24725914 999996153 29990721 999998840 29989858 999978418 30779145 999980417 30777985 999999822 12625518 999999980 12610842 999999930 802449507 999999951 802339088 984082781 548727605 984085346 548726701 999999976 207804424 999999984 207514588 984086886 548503098 984088118 548501216 999996307 651012079 999997674 651010383 978025328 715865840 978026267 715863371 999999410 229392476 999999909 229387830 999999931 623946620 999999944 623768288 993363613 700642716 993364221 700638903 999999607 5393853 999999730 5375005 978028838 715737669 978030397 715736182 999997731 24893251 999999367 24891834 999998169 195774664 999999746 195773194 999999329 776322932 999999435 776301063 999999598 21919701 999999829 21909666 999997365 10904713 999999144 10903410 978105397 716056897 978107628 716055858 999999975 851231330 999999982 850900186 999999455 5054501 999999607 5039251 984081295 548698096 984082522 548696207 999982253 30742055 999983614 30740352 999999996 92561454 999999997 90243697 999994655 624948710 999996307 624947307 999999837 29708293 999999983 29692418 999185572 4801450 999187299 4800108 992128973 719753362 992130103 719751311 999999975 795965939 999999982 795634860 999990003 80955809 999992293 80954797 999993414 10933046 999996196 10932213 999999329 728779545 999999435 728757683 999987234 81520906 999989036 81519620 999999410 229889139 999999909 229884495 999999410 228166289 999999909 228161645 999128522 81586597 999130107 81585135 992127642 719878832 992129430 719877536 978115901 715904401 978118946 715903640 984040218 548467113 984040803 548463152 999999710 2833411 999999947 2823634 999998292 623813511 999999476 623811554 999996307 656786689 999997674 656784994 999996307 651526978 999997674 651525283 999134631 81569973 999135998 81568278 998864885 196271673 998865876 196269335 978116989 715931979 978119718 715931130 999992642 20248542 999993552 20245996 999997287 4553180 999999286 4552021 999997287 4296219 999999286 4295060 978596446 715737599 978598081 715736182 999999983 773774311 999999985 772615933 979497119 713411307 979505894 713411043 999997807 24898933 999999367 24897448 984035536 548467113 984037186 548465709 998741828 196290630 998745100 196289922 999991537 20117103 999993206 20115715 999999948 82462478 999999959 82251882 999981435 80980023 999982712 80978209 977352604 715063619 977353715 715061534 999993513 30046800 999995906 30045832 999999992 89015376 999999993 86698957 983764442 548496871 983765807 548495174 999998060 60335047 999999365 60333272 999998060 60237962 999999365 60236187 999998060 56100546 999999365 56098771 999995176 625257564 999996307 625255516 999999605 25824806 999999895 25816819 998756303 196312427 998757680 196310745 978021146 715815267 978022548 715813615 992112817 719880990 992113767 719878552 999987451 81172789 999988605 81170782 983970200 554623218 983972530 554622224 999999955 200826076 999999976 200715790 999999859 11755313 999999922 11718552 999999925 639695702 999999979 639652816 999151355 4953494 999152401 4951280 984091378 548507466 984093270 548506242 993142211 710126988 993143339 710124935 999999975 784321693 999999982 783990870 999996307 651571378 999997674 651569684 999996307 651341196 999997674 651339502 999999435 735321797 999999752 735314492 999999435 721753808 999999752 721746503 999999993 678445355 999999995 677287514 978683847 715799350 978690297 715798991 999999969 709424335 999999993 709327854 983980082 554582372 983981288 554580452 993357613 700686145 993359062 700684547 999994156 227131965 999994326 227118345 999999410 230233000 999999909 230228360 999999329 724114047 999999435 724092204 999999598 21334023 999999829 21324000 999981420 9783521 999982629 9781606 999998060 56538187 999999365 56536413 984089061 548518020 984091038 548516849 998752215 196294563 998753517 196292785 999999989 161226386 999999990 158911443 999187299 4799552 999189286 4798387 992130338 719885812 992131543 719883891 999993414 11124532 999995111 11123168 999993719 20280811 999994870 20278800 999999598 18253990 999999829 18243970 999981215 81524710 999982717 81523169 999999730 5474437 999999894 5460324 993345634 700593262 993346712 700591115 983745794 548526131 983748175 548525159 999999789 715250846 999999932 715234662 999999717 14381432 999999822 14359391 999999144 10468004 999999605 10462984 999999329 722960387 999999435 722938555 999999997 60712252 1000000000 59940862 999999943 23477107 999999970 23391400 983751426 548501510 983752997 548500037 999981420 9596119 999982629 9594205 999994290 20170658 999995338 20168450 999999598 23166393 999999829 23156376 999999435 732826457 999999752 732819158 999998060 59770706 999999365 59768933 999999598 19653428 999999829 19643412 999991419 15409442 999991537 15389835 999998292 623781784 999999476 623779830 999993414 10974794 999995424 10973643 999987363 80997834 999988506 80995810 978100905 716008869 978103162 716007844 999988269 133294995 999989629 133293294 999999884 657906925 999999925 657850503 999986600 78075792 999987893 78074003 999971889 135199659 999973290 135198008 999982647 81180475 999983736 81178351 992118638 719850691 992120537 719849473 978013256 715742415 978014546 715740622 999996307 657369654 999997674 657367962 999996307 651074979 999997674 651073287 999145609 81567419 999147301 81566052 999999975 940067231 999999982 939736813 999999144 9705405 999999638 9700723 999999982 773668654 999999983 771355751 999997287 4996569 999999286 4995412 999996543 11027482 999998260 11026135 998874411 91965782 998875994 91964321 983751544 548517497 983752452 548514950 993119218 710111242 993120372 710109238 999997129 196165451 999999045 196164244 999997129 196129276 999999045 196128069 993350262 700664793 993351500 700662925 999992321 81175944 999994410 81174837 999999993 987570824 999999996 986800000 984090521 548571367 984092204 548569993 999990753 133284016 999991869 133281944 999999931 637896269 999999944 637718396 999999789 712498786 999999932 712482616 999999329 725265320 999999435 725243506 999999975 850388313 999999982 850057993 999975471 81172242 999978443 81171464 999994689 624950139 999996307 624948710 999995798 134198132 999996916 134196064 999990808 24014587 999991419 24010803 978108454 716005928 978109758 716004155 999996785 10889053 999998480 10887689 993355246 700607331 993356009 700604301 978100282 716026363 978101372 716024242 999998169 90892355 999999746 90890889 999998169 90602789 999999746 90601323 999151399 81583245 999153478 81582133 984014674 548464299 984016070 548462643 993353420 700649783 993355174 700648465 999999607 6096989 999999730 6078195 999999974 856171186 999999975 853859541 999981420 10680783 999982629 10678871 999996307 658052551 999997674 658050860 978114105 715915478 978115901 715914191 978602601 715741227 978604404 715739945 999996316 24914631 999998609 24913623 999977986 135253947 999979856 135252711 978499552 716064535 978501708 716063463 993369028 700604665 993370300 700602848 978090830 716016451 978091816 716014107 999999638 7818158 999999843 7806884 999999789 718261466 999999932 718245304 999998060 56425283 999999365 56423512 999998060 56309646 999999365 56307875 999991419 18318814 999991537 18299228 999999925 643115528 999999979 643072729 999978918 81161443 999980391 81159874 999999975 762747511 999999978 761977196 992106126 719872656 992107678 719871167 999971889 133236671 999973668 133235372 978595611 715744784 978596713 715742687 983971173 554685322 983972366 554683385 992047975 719879228 992049935 719878049 999999435 775461291 999999752 775454002 999999435 775123103 999999752 775115814 998942967 91965659 998944971 91964506 978106922 716044976 978107378 716039909 999999144 7666471 999999638 7661794 984083055 548714661 984084161 548712572 984070392 548843894 984072360 548842720 984070691 548565680 984071590 548563110 998991614 4968518 998992377 4965490 984069581 554479008 984070253 554475570 999999607 6397702 999999730 6378919 993353501 700603728 993355731 700602692 999996307 657487181 999997674 657485491 999996307 657454971 999997674 657453281 999997252 11057574 999999144 11056353 993230719 700604211 993232964 700603182 999999993 794957375 999999996 794187341 983978896 554588091 983980684 554586799 999999435 733641596 999999752 733634309 999999993 974867066 999999996 974097084 999999990 636774326 999999992 635619359 999998060 59822550 999999365 59820780 999988313 78072952 999991735 78072277 977325538 715070731 977327168 715069314 999999314 26098652 999999605 26090715 999999435 733123987 999999752 733116701 999999882 38051119 999999997 38031035 993354405 700593630 993357171 700592795 999999829 22358264 999999899 22325271 999999989 99597726 999999990 97288282 984063601 548457485 984064512 548454950 993094674 710133548 993096019 710131831 999999149 25017492 999999314 25003496 999117579 91963874 999119551 91962703 983772576 548491698 983773910 548489967 999977192 78076047 999978923 78074713 984092639 548565896 984094476 548564639 999999955 209055452 999999976 208945498 983641993 548934046 983642877 548931434 999997110 24905097 999999367 24904074 999174248 4819469 999176079 4818208 999999925 639439218 999999979 639396461 984093270 548510604 984094445 548508639 998735777 196265049 998737013 196263181 999984170 133285523 999985804 133284110 978105867 715935961 978107486 715934535 999999542 29410849 999999837 29403023 999987425 134204209 999989322 134202992 993166702 710118527 993167919 710116630 978022571 715829097 978023250 715825697 999130471 81565895 999131821 81564185 999977953 135205407 999979057 135203316 983647034 548929085 983648923 548927863 978017054 715866705 978018428 715865025 983762761 548516485 983764430 548515102 978685638 715814813 978687282 715813409 999130625 81562997 999131578 81560575 984075012 548716359 984076442 548714745 978103895 715974946 978106036 715973868 999999843 9694530 999999936 9669713 999999993 800305458 999999996 799536133 999999638 7582739 999999843 7571481 999044323 91964727 999046494 91963664 999996306 78083887 999996836 78079533 999998292 624772405 999999476 624770456 984071067 548569476 984074801 548568858 999999987 634509511 999999990 633740318 977318083 715080555 977319173 715078438 999999605 29985112 999999855 29975882 999996307 650675460 999997674 650673772 999996307 650172023 999997674 650170335 999999607 5698204 999999730 5679444 999999435 774764830 999999752 774757551 999997883 30075153 999998840 30072742 999996610 24811208 999997492 24808592 999974614 80949059 999975829 80947160 999998060 56535088 999999365 56533320 999999598 16948118 999999829 16938130 999998169 91364826 999999746 91363363 999998169 91123758 999999746 91122295 993104205 710133998 993105623 710132371 999999982 124954112 999999988 124569613 999999710 20498 999999947 10764 993226490 700624901 993230509 700624327 999991419 17733805 999991537 17714255 999999410 229798516 999999909 229793893 999992930 20100762 999995338 20099804 999999969 684314670 999999993 684218551 983745794 548531692 983750171 548531165 999999955 214126180 999999976 214016340 999997638 30142467 999998840 30140548 999999948 158619559 999999959 158409872 999991735 78082870 999992910 78080907 998820748 196266850 998822683 196265658 999999410 228774268 999999909 228769646 978112398 716003833 978114249 716002587 998990596 4945001 998995163 4944496 999996307 657246051 999997674 657244364 984097200 554485495 984098331 554483456 999999638 8172857 999999843 8161608 992118018 719889593 992118234 719878917 999984898 80948776 999987232 80947788 999999329 729990641 999999435 729968887 998866696 196271673 998868478 196270379 999999410 228092177 999999909 228087556 999999435 775252972 999999752 775245698 998753645 196311891 998755657 196310745 999999730 6802393 999999894 6788334 999995549 30033633 999996665 30031567 999983401 133231302 999985846 133230359 999999435 773753230 999999752 773745957 999998141 24680155 999999162 24677897 999997196 30051049 999998234 30048828 977958332 715748066 977959434 715745974 999999410 228632042 999999909 228627422 999142707 4945233 999144976 4944217 999979725 134189238 999984568 134188762 999998292 624464256 999999476 624462309 984097126 548531903 984098542 548530275 999999435 777771013 999999752 777763741 999189585 4820735 999190949 4819045 978500259 716050646 978501058 716047761 983758315 548537446 983760095 548536151 999999882 34389325 999999997 34369281 984075505 548460895 984076249 548457797 999997287 4781244 999999286 4780091 999999710 3092010 999999947 3082285 977986428 715746975 977988570 715745899 978684710 715786601 978686545 715785345 999999329 722302833 999999435 722281090 999999975 834471890 999999982 834142649 999987935 80971323 999989599 80969938 999997697 24716740 999999367 24715360 977329968 715071432 977331857 715070212 999994156 226053978 999994326 226040422 999999974 946717218 999999975 944412750 999999948 176628888 999999959 176419394 999999884 642675021 999999925 642618816 999994314 24720224 999995871 24718744 999999542 26892144 999999837 26884333 998750978 196265562 998752266 196263773 993366379 700621918 993367576 700619993 978111557 715875206 978112968 715873573 999990894 30742747 999992160 30740927 978113068 715937067 978113978 715934535 999984135 133265806 999985711 133264344 999990808 23377314 999991419 23373543 999999829 18620404 999999899 18587489 999998169 195589301 999999746 195587840 999999598 19899183 999999829 19889209 999999948 154502907 999999959 154293456 999999829 22975621 999999899 22942708 999999410 229113754 999999909 229109137 984081604 548454682 984082656 548452492 999999730 5435195 999999894 5421147 999154324 81566043 999155347 81563791 999999987 17683048 999999988 15379284 999994156 230215311 999994326 230201760 999999969 700166581 999999993 700070595 999999789 717514745 999999932 717498636 978020111 715749063 978021376 715747242 999993728 624986524 999994993 624984703 999983544 135219958 999986567 135219196 999999975 837943318 999999982 837614293 993095232 710171779 993097490 710170759 978578829 715786518 978579920 715784407 999999841 650353757 999999884 650300198 999999144 7486344 999999638 7481682 999999837 27490930 999999983 27475156 999994156 228661042 999994326 228647495 998738173 196301516 998739745 196300051 999981800 81001609 999983110 80999851 999994314 24891106 999995869 24889625 984101101 548716221 984102826 548714886 984089456 548471073 984091512 548469953 999999822 12912203 999999980 12897629 984091588 548960075 984092629 548957863 998752743 196271171 998754131 196269512 983647034 548930304 983648923 548929085 993226166 700599135 993228129 700597962 978102965 716020422 978104030 716018260 999992706 81152642 999994584 81151416 999998169 195583947 999999746 195582487 978105609 715964067 978106625 715961801 999990808 23569853 999991419 23566085 998846752 196255421 998848174 196253802 999999329 720607373 999999435 720585654 999999837 28067399 999999983 28051631 999017267 4968524 999019544 4967513 999998060 63346415 999999365 63344651 999998060 60015459 999999365 60013695 999999836 10550199 999999981 10534323 998921704 2783 998922843 762 999994714 625126699 999995630 625124186 999997287 4278958 999998578 4277175 983637783 548957604 983639269 548956055 999999314 26108791 999999605 26100881 999999931 624358028 999999944 624180968 999982511 30757085 999983525 30754815 998758893 196303651 998760497 196302216 999994001 11112534 999996994 11111765 999999286 5183593 999999455 5169974 993366265 700601325 993367428 700599346 999999607 4704652 999999730 4685940 978020991 715835735 978022760 715834434 999994156 229875110 999994326 229861572 993131393 710125650 993133249 710124410 999008909 4944867 999009741 4942101 999020231 4963209 999021619 4961551 999999730 6064143 999999894 6050111 999987296 78070487 999989932 78069614 999004403 4966928 999004953 4962744 978024108 715850430 978025390 715848635 999973887 80972131 999976735 80971323 999975074 135217496 999976912 135216244 999976089 78126116 999977231 78124101 977331972 715075920 977333987 715074778 999999455 6840442 999999607 6825303 984048451 548464582 984049508 548462405 999999895 25397696 999999927 25325789 999999946 752447254 999999975 752367910 999999994 738348376 999999995 736047408 984004873 548463680 984006203 548461950 999990062 135187803 999991105 135185597 992138669 719868683 992140395 719867350 977359002 715076384 977360474 715074821 999974466 135227692 999976244 135226398 999981420 10791733 999982629 10789830 999981420 10228487 999982629 10226584 999998060 56332075 999999365 56330312 999999144 10284987 999999638 10280330 983754677 548531692 983755582 548529150 999999948 163489972 999999959 163280835 999998840 30212276 999999605 30209269 999999930 779062389 999999951 778952851 984067829 548555601 984069608 548554308 999999607 5578441 999999730 5559740 999999995 133403610 999999996 131103451 999999884 651291800 999999925 651235701 983976068 554623169 983977294 554621293 993092116 710151764 993093670 710150284 978107534 716046029 978109203 716044651 977993784 715742603 977995618 715741349 983769293 548512091 983771030 548510767 999999975 832883727 999999982 832555189 999999455 5368554 999999607 5353424 999999859 12094955 999999922 12058451 999982188 30771410 999982932 30768319 999109186 81586667 999111045 81585430 999981420 11000608 999982629 10998706 983640582 548896042 983643044 548895108 999999717 14340621 999999822 14318721 999998060 63282379 999999365 63280617 999999605 25643543 999999895 25635614 999999822 12554192 999999980 12539639 999996307 651099391 999997674 651097709 999999435 732262935 999999752 732255682 999997129 196057952 999999045 196056752 999999144 8234301 999999638 8229647 984073803 548563620 984074222 548558133 999996665 30033633 999998551 30032414 999993260 64101652 999994680 64100033 978103556 716041181 978105382 716039922 999988385 133293294 999989629 133291446 999999936 10068059 999999965 9988787 999999946 754632866 999999975 754553598 999981225 78132044 999983035 78130774 999126138 81566049 999128174 81564920 999999144 7408827 999999638 7404174 993348476 700659335 993350262 700658048 999999923 198105369 999999955 198033539 999999884 657850503 999999925 657794443 999999930 794537410 999999951 794427962 993332048 700616526 993333662 700615102 984089781 548540480 984091191 548538850 983769597 548513696 983771169 548512234 999977141 81538992 999978410 81537181 999998060 63628794 999999365 63627033 999998060 63058483 999999365 63056722 999999975 887280887 999999982 886952594 999999314 25907486 999999605 25899589 999990808 24369821 999991419 24366060 999999993 206857666 999999994 204559781 999988342 135226343 999989878 135224847 998826532 196256771 998827770 196254915 999999435 776150436 999999752 776143188 984068373 548832297 984069936 548830827 992126053 719881913 992127087 719879691 999994003 16259979 999995338 16258258 999999980 726889498 999999981 724592070 999999435 733273073 999999752 733265826 999999367 24641118 999999638 24632641 999999923 197658385 999999955 197586597 999994156 228205516 999994326 228192003 984076648 554474416 984077469 554471618 999128781 81577117 999130641 81575882 999981420 10789830 999982629 10787930 999994156 226193488 999994326 226179976 993349892 700687307 993351189 700685536 999999435 772540434 999999752 772533188 999999974 927363350 999999975 925066515 999972162 78122911 999977764 78122501 999998060 63105817 999999365 63104057 999104145 81561480 999105660 81559964 999993032 625244402 999994202 625242439 999991537 20012780 999994047 20011865 999996307 657966181 999997674 657964501 978496047 716052742 978497201 716050752 999999884 653973038 999999925 653917027 999999410 230446690 999999909 230442088 999993032 625218490 999993894 625215826 999994156 224415969 999994326 224402461 999990889 78115905 999991849 78113513 978024261 715825903 978025441 715823957 999999542 27149638 999999837 27141854 999999909 228537962 999999919 228308335 999993265 134196921 999995490 134195889 999974514 78089757 999975784 78087949 999998169 91180190 999999746 91178734 999999144 7244278 999999638 7239630 992134082 719867434 992136208 719866354 993137636 710111020 993140190 710110121 999991848 30788818 999993513 30787439 999999329 720094412 999999435 720072752 993366577 700673956 993368743 700672896 999999884 647744174 999999925 647688176 999991537 16253885 999995338 16253281 999999789 712970242 999999932 712954188 999999969 706495550 999999993 706399895 983832037 548489149 983833939 548487942 978011678 715855476 978016127 715854960 999993511 64095968 999994725 64094077 999999605 25924138 999999895 25916222 998740047 196279006 998740909 196276343 999999822 12745617 999999980 12731089 999995520 81523705 999996713 81521781 999999925 640779809 999999979 640737303 999999955 199774051 999999976 199664751 999993414 11014593 999995391 11013432 984026072 548455971 984027435 548454287 999996307 657447157 999997674 657445478 999996307 656700013 999997674 656698334 999996307 651140609 999997674 651138930 999999975 985162795 999999982 984834912 999999789 713087362 999999932 713071312 999999894 6614017 999999965 6581691 999995798 134199100 999998169 134198132 999999329 720936502 999999435 720914850 993158470 710120650 993160381 710119449 999999948 67202475 999999959 66993837 984038494 548452564 984040397 548451358 999981394 81521620 999982419 81519381 998850492 196258396 998851714 196256518 998823662 196272196 998825195 196270699 999999946 758421753 999999975 758342620 999999975 746197177 999999978 745432240 999981420 10009301 999982629 10007403 992077688 719744264 992079276 719742819 999999144 9661741 999999638 9657096 999999980 749079279 999999981 746784687 999998292 624635774 999999476 624633836 999997510 4691512 999999286 4690220 999999993 939953049 999999996 939188202 999999598 22253323 999999829 22243390 999975829 80953791 999976103 80945417 999993032 625135046 999994812 625133757 983978887 554582372 983980082 554580452 999991419 19896913 999991537 19877469 978489691 716047349 978491344 716045961 999999638 8435481 999999843 8424289 999999948 88871996 999999959 88663425 978116114 716017562 978117296 716015621 999999884 653369698 999999925 653313741 999998840 30631339 999999605 30628340 999995893 135233493 999996503 135229732 999998060 62911541 999999365 62909783 993369829 700630975 993371014 700629039 977958391 715776503 977959534 715774496 999991257 81150314 999993216 81149143 999999982 76113145 999999988 75730822 999974772 135248239 999976613 135246993 999974779 80962136 999975860 80960014 984098142 548830697 984099694 548829219 999996307 650787068 999997674 650785390 993362584 700599570 993363891 700597815 999999841 650966732 999999884 650913390 999990808 15439675 999991419 15435921 999994156 226721363 999994326 226707871 999995811 24669276 999999367 24668631 978113423 715945935 978114598 715943983 993339338 700594306 993343135 700593702 999186277 4840323 999188140 4839092 999999286 4422677 999999455 4409107 999999789 715356794 999999932 715340757 999971889 80996815 999972922 80994595 978109505 716049504 978111066 716048035 983745822 548537218 983747043 548535340 999999605 25143941 999999895 25136034 999999710 4061156 999999947 4051481 984027491 548463248 984029177 548461888 999984080 135234788 999990650 135234439 999998060 60066204 999999365 60064447 999997485 11005170 999999144 11003788 999999944 626694025 999999971 626609109 999999789 716197891 999999932 716181858 999999841 650845754 999999884 650792435 993099158 710120679 993100550 710119032 998835270 196261151 998837140 196259925 999999884 653313741 999999925 653257824 999999435 735546468 999999752 735539236 984100851 548536705 984102101 548534871 999992319 80950356 999994784 80949426 999999598 19238633 999999829 19228709 978109111 715948169 978110109 715945872 999999976 214109751 999999984 213823202 984095498 548480003 984096037 548475750 984099158 548709621 984100935 548708331 978112488 715888265 978114555 715887156 999992601 134188796 999994891 134187795 999999435 772257967 999999752 772250736 999981856 134196642 999983832 134195482 999993032 625091351 999994199 625089387 999999841 656438113 999999884 656384811 999999882 37273122 999999997 37253192 999999435 735585018 999999752 735577788 999999993 685227083 999999995 684081221 999188511 4826160 999190949 4825220 999976314 78112464 999977805 78110927 983637783 548959179 983639238 548957604 999999993 937518219 999999996 936754351 999998060 63820553 999999365 63818797 999994446 81171328 999995404 81168936 999991537 18866536 999993312 18865245 999999859 11303865 999999922 11267492 999981414 81158021 999984015 81157140 977327168 715071380 977328655 715069839 999999930 807022153 999999951 806913036 984094707 548457936 984095806 548455851 999999410 228615859 999999909 228611267 999998169 91186068 999999746 91184615 999998169 90810636 999999746 90809183 999987935 80969938 999989599 80968561 978016113 715836187 978017439 715834459 993365720 700659917 993366737 700657664 999999588 6887973 999999891 6880411 984016866 548465996 984018225 548464310 999990808 23616503 999991419 23612753 999999975 991068703 999999982 990741382 999999993 993398827 999999996 992635088 984082765 548956309 984083892 548954276 978107642 716029754 978108952 716028005 999999837 27701453 999999983 27685760 977344218 715070876 977346733 715069965 999999930 801280863 999999951 801171760 992103708 719747265 992104928 719745387 999986131 133219366 999988045 133218169 999998292 624400877 999999476 624398942 999993032 625146093 999993958 625143619 999987070 81154153 999988335 81152342 999999969 685914655 999999993 685819209 998820748 196268365 998822260 196266850 999999435 735406914 999999752 735399688 977314390 715080887 977315910 715079380 999999286 5704963 999999455 5691409 999999598 17452252 999999829 17442336 999981952 133294995 999982906 133292594 999995973 10973234 999997086 10971176 999149312 4971801 999150233 4969314 978106036 715977852 978108417 715976890 999999971 632046815 999999983 631855939 999999841 646590589 999999884 646537322 978116284 715930132 978119718 715929465 999982562 30793530 999984607 30792410 999999944 622959102 999999971 622874273 999999598 19447613 999999829 19437698 999999435 733857553 999999752 733850328 984089334 554478500 984090779 554476915 978098014 716016822 978098861 716014118 998737899 196253131 998738952 196250956 999998060 60272920 999999365 60271165 984076320 548850026 984078019 548848678 999999923 196710875 999999955 196639310 999995049 133217529 999998169 133216795 999980222 30805320 999981338 30803268 984092204 548570966 984094303 548569875 999978381 81530701 999981215 81529893 999992542 20335501 999993695 20333515 998867021 196275349 998868230 196273455 999981420 10690438 999982629 10688544 999998169 91258795 999999746 91257343 999999999 91196896 1000000000 88907127 999996307 657373340 999997674 657371665 998747940 196274287 998749343 196272655 998972264 91964489 998973546 91962703 999999638 7833555 999999843 7822386 999997129 196183177 999999045 196181982 999993032 625174097 999995069 625172973 999999976 223053733 999999984 222767541 999999976 198607051 999999984 198320860 999999931 638232817 999999944 638056700 999999955 204592527 999999976 204483503 999999598 15516947 999999829 15507036 978117666 715992301 978118958 715990529 999999993 911404744 999999996 910641606 999989405 30744044 999992160 30743213 998755070 196267319 998756373 196265562 999999969 716096405 999999993 716001015 999993900 18985447 999995338 18983855 999996139 10918233 999996860 10915058 999981704 78083011 999982900 78081097 999999435 776554182 999999752 776546961 999998060 63493982 999999365 63492228 984088624 548532599 984089365 548529510 999999410 230212251 999999909 230207664 999994156 228006330 999994326 227992866 999033927 91966663 999034505 91962703 999999144 10425827 999999605 10420862 999999542 27407243 999999837 27399485 978581323 715753748 978582427 715751675 999999993 963541291 999999996 962778442 984077572 548698695 984079110 548697207 999993031 16258258 999995338 16257266 999995207 81528502 999997163 81527332 984081923 554472768 984083913 554471618 998868334 196268675 998869656 196266944 999993538 624921351 999994979 624919763 999999925 653035402 999999979 652993026 999999977 24020955 999999979 22876840 999998169 90623149 999999746 90621698 984062817 554475570 984063396 554471618 983836291 548506084 983838209 548504891 993362632 700655154 993363803 700653200 978028442 715818304 978029616 715816355 999999986 223050942 999999991 222593320 999999956 21939079 999999970 21775647 999999329 777087157 999999435 777065573 999999789 716652170 999999932 716636171 999999925 652615955 999999979 652573588 999999060 26683530 999999319 26674697 993349036 700662093 993350262 700660227 993367511 700591868 993369260 700590560 999998060 63773037 999999365 63771284 999998060 62763761 999999365 62762008 999998060 60496607 999999365 60494854 993361753 700612333 993363891 700611263 999994787 11075277 999995950 11073310 999999969 671548419 999999993 671453102 993368702 700642716 993370389 700641360 999999314 26624749 999999605 26616888 999998292 624424642 999999476 624422710 999981420 9647345 999982629 9645453 999999998 775751131 999999999 773463707 999999978 21252439 999999979 18965028 999991951 81517208 999993085 81515191 984100168 548468606 984101700 548467113 983980194 554629438 983981249 554627270 978106705 715954640 978107722 715952391 999992002 80975889 999993723 80974560 978116490 716014233 978118558 716013127 999999979 648192023 999999997 648064959 978491935 716064818 978493333 716063182 999996175 134187754 999998169 134186607 978018868 715821945 978021565 715821097 999999710 2106901 999999947 2097251 993091857 710113782 993093844 710112631 999994736 18951994 999995338 18948195 999996307 657786735 999997674 657785062 999996307 656657150 999997674 656655477 999996307 651363339 999997674 651361666 999996307 650327061 999997674 650325388 999990808 24077063 999991419 24073320 999999410 230982473 999999909 230977890 999997327 80986832 999998169 80984116 999997287 4464485 999999286 4463341 999999923 208648887 999999955 208577423 999991415 81514010 999993196 81512726 999999997 942996421 999999998 940709635 984045030 548455393 984046593 548453930 999998169 195872290 999999746 195870840 999998169 90746695 999999746 90745245 999998840 30780009 999999605 30777020 999991537 20111090 999992907 20109421 999994156 228830126 999994326 228816676 983648220 548911430 983650186 548910267 999997929 24927085 999999367 24925495 999999410 228941569 999999909 228936987 999990808 24284855 999991419 24281113 999998060 63542712 999999365 63540960 999999991 204386596 999999992 202100316 992126617 719879691 992127247 719876062 999981420 9636885 999982629 9634994 999999946 721437999 999999975 721359166 999996309 26677973 999999060 26677142 978110558 715980113 978111569 715977852 984085258 554476157 984086373 554474107 984071726 548727407 984073530 548726140 999999993 169789295 999999994 167503671 999999435 775481626 999999752 775474416 999999975 760204238 999999978 759442388 998905235 91963575 998907856 91962703 999999605 25534619 999999895 25526738 999999909 218735511 999999919 218506963 999999329 721576750 999999435 721555190 999999931 621569766 999999944 621393977 999999605 25809260 999999895 25801380 993231946 700622185 993233168 700620315 999148752 4959997 999150918 4958942 999998292 624035729 999999476 624033799 999988476 135234288 999989803 135232566 999999985 757219236 999999986 754934181 999994156 224823604 999994326 224810163 998846637 196272594 998847364 196269451 999992407 16306583 999994257 16305348 999999930 784489102 999999951 784380307 999999925 656349657 999999979 656307350 993141422 710117326 993142738 710115590 984066214 548560339 984067358 548558342 999999946 756164047 999999975 756085269 999990808 16100803 999991419 16097064 999999975 887867592 999999982 887541241 999996038 81516263 999998169 81515191 999999149 25206543 999999314 25192698 999998107 24810418 999999367 24808605 999996307 651558480 999997674 651556809 999976488 78134532 999978695 78133497 999990367 80957791 999992293 80956605 999999843 9457986 999999936 9433426 984092343 548569875 984093901 548568409 999994156 221389468 999994326 221376033 999999971 625852068 999999983 625661745 999999969 659349014 999999993 659253853 999004268 4947964 999007301 4947211 979498893 713840702 979499808 713838206 999999999 33283062 1000000000 30999235 999142302 4959391 999143710 4957769 999998060 60003633 999999365 60001883 999998060 59824300 999999365 59822550 999999979 653729048 999999997 653602176 978025012 715861535 978027444 715860596 993326625 700605663 993329545 700604881 999999717 13830082 999999822 13808335 984089493 548847930 984090969 548846383 984070002 548579354 984071067 548577210 999999944 632366127 999999971 632281559 977330682 715076997 977331972 715075227 999999996 217067712 999999997 214784476 977344133 715063365 977345545 715061748 998853510 196271173 998854829 196269442 999999598 22053547 999999829 22043664 978100298 716038698 978101551 716036876 999996307 650847208 999997674 650845538 999996307 650233814 999997674 650232144 999999638 7196567 999999843 7185431 999997287 4852409 999999286 4851267 999997748 196208043 999999045 196206283 999164772 4840066 999165718 4837653 999999983 757863260 999999985 756721956 999981420 9583134 999982629 9581246 999999969 710342202 999999993 710247099 998862131 196252769 998863876 196251461 999999975 861991960 999999982 861665895 999998060 56225111 999999365 56223362 999994507 24886910 999995821 24885173 999999435 777193339 999999752 777186139 993350797 700645515 993351517 700642345 999999607 5316751 999999730 5298195 984006829 548454449 984007792 548452079 979513483 713843161 979514546 713841014 978100620 716052104 978101794 716050160 999999841 644798867 999999884 644745795 984072859 554478835 984073863 554476562 999990808 23291448 999991419 23287713 999999993 845252626 999999996 844491935 999996378 24943307 999997668 24941538 978112488 715887156 978114555 715886052 993363944 700655715 993368375 700655200 999999410 230565999 999999909 230561426 999998169 91443312 999999746 91441865 999999598 18395420 999999829 18385542 999999435 720679723 999999752 720672525 999999605 25119976 999999895 25112108 999994331 625096371 999995694 625094697 999998292 623908140 999999476 623906213 999996307 651575503 999997674 651573834 999999925 654224653 999999979 654182403 977356751 715074501 977358101 715072811 999997803 30127110 999998840 30124910 999985490 135209605 999987479 135208458 999981420 10025956 999982629 10024069 999991419 22165670 999991537 22146337 999999946 740758173 999999975 740679509 999993701 135217149 999995884 135216104 999999639 196146050 999999693 196103806 992133895 719861818 992135236 719860117 999989902 133276148 999991784 133274936 999995127 625070207 999996307 625068274 999993992 624822473 999995640 624821089 978116324 715909900 978117461 715907894 999999435 734403090 999999752 734395895 999983308 80965514 999986557 80964812 984005885 548448578 984007792 548447382 983974441 554612185 983975922 554610645 978109315 716017700 978110288 716015356 999999919 227258860 999999923 226688685 999999841 648351330 999999884 648298292 999001745 4977101 999004403 4976243 999999598 24409625 999999829 24399753 999999717 12231290 999999822 12209572 999998169 195921567 999999746 195920121 999998169 91379236 999999746 91377790 983759112 548522566 983760689 548521120 983645314 548932910 983646189 548930304 999996307 656776584 999997674 656774916 999996307 650989030 999997674 650987362 999996307 650746280 999997674 650744612 999996307 650151450 999997674 650149782 983979589 554696920 983981416 554695672 999999717 12741305 999999822 12719590 999186364 4804991 999187750 4803346 999997787 24909890 999999367 24908447 999999410 230589476 999999909 230584907 999999996 708174570 999999997 705894696 984098246 548513957 984100138 548512752 999998060 63304395 999999365 63302648 999999946 748333716 999999975 748255102 999995950 11075277 999997109 11073310 999002048 4961523 999004403 4960555 999999329 731902786 999999435 731881280 999971889 78076141 999972986 78074063 999999931 619854190 999999944 619678843 999999956 21018965 999999970 20856151 978685706 715745525 978687046 715743824 999999948 97662261 999999959 97455050 999999605 10603819 999999836 10593952 999998292 624873503 999999476 624871578 999998292 624525124 999999476 624523199 999999975 937417298 999999982 937091711 978103901 715917857 978104859 715915478 999990808 24498649 999991419 24494919 999977272 81521781 999979327 81520672 999999829 23586604 999999899 23554048 999999542 27141854 999999837 27134129 999997287 4520048 999999286 4518908 999971889 80946544 999973911 80945417 999996307 650268812 999997674 650267145 999998169 90605630 999999746 90604185 999999955 230088458 999999976 229979946 992127862 719753362 992128973 719751311 999999435 721195724 999999752 721188536 998740649 196295349 998742646 196294208 999987627 133262512 999989507 133261300 983971458 554671968 983972875 554670360 999998060 63731143 999999365 63729397 999999991 727214190 999999992 724935698 999973650 81154747 999980391 81154409 999990808 15848452 999991419 15844723 999999710 2404500 999999947 2394887 984081604 548457732 984086829 548457296 999999931 626254124 999999944 626078887 983771030 548517168 983773910 548516377 999998292 624690173 999999476 624688249 999999946 766847444 999999975 766768894 999993032 624995128 999995187 624994071 999994156 231204005 999994326 231190607 992065150 719753314 992066935 719752038 999999989 82716745 999999990 80439156 984073844 548450955 984076249 548450008 999999598 23947037 999999829 23937178 999996307 657891315 999997674 657889649 999999975 942565143 999999982 942239798 999998840 30350909 999999605 30347932 999999946 724426552 999999975 724348022 993351505 700656046 993353361 700654819 999998060 63868468 999999365 63866723 999955260 3176 999957005 1871 983639081 548906387 983640392 548904650 993366625 700626791 993368011 700625148 999998169 195430722 999999746 195429278 999999829 22509055 999999899 22476524 983772153 548534919 983773910 548533623 999993032 624948710 999994655 624947307 999185125 4812421 999186951 4811174 999984807 78105377 999986953 78104316 998743310 196301295 998745100 196300023 999986962 30741284 999989405 30740352 999991594 16380896 999993748 16379839 993347789 700625148 993348846 700622994 993330201 700612801 993332580 700611844 999994088 625344533 999996307 625343507 999999993 893582559 999999996 892823679 983970302 554654068 983972342 554652952 984090834 548508762 984092592 548507467 999990808 24373547 999991419 24369821 999981420 9585017 999982629 9583134 999999329 775624281 999999435 775602805 999971932 81169058 999973395 81167502 993325822 700592607 993327165 700590912 999999987 637900300 999999990 637141527 998893782 2494 998896038 1485 999019136 4956196 999020316 4954267 999997129 196103511 999999045 196102323 999999314 25288455 999999605 25280633 999988778 78086099 999989738 78083728 983768537 548516762 983771030 548515849 999991537 18957986 999992924 18956345 999998060 60328601 999999365 60326857 999999944 627411468 999999971 627327176 999998840 29986298 999999605 29983323 999999991 192018208 999999992 189742356 999999435 735225671 999999752 735218492 999999435 734527327 999999752 734520148 999999822 13847079 999999980 13832676 977321711 715079265 977322686 715076931 999997076 133227337 999998169 133225255 999999882 36839549 999999997 36819761 999998169 195982710 999999746 195981267 999991055 135241672 999993326 135240670 984096733 548841203 984098142 548839588 999999329 732328795 999999435 732307328 993356310 700679759 993358861 700678867 998994788 4951632 998996098 4949895 999999969 659750367 999999993 659655556 999999982 150468096 999999988 150088855 999973352 81507937 999975045 81506593 999995262 30025091 999996536 30023305 999999894 5553221 999999965 5521174 993369492 700661525 993373025 700660881 999994841 625066463 999996307 625064911 977321221 715081553 977323159 715080379 998839821 196280260 998840858 196278066 999999789 719738003 999999932 719722093 999983736 81166267 999985223 81164737 999998840 30116559 999999605 30113585 999122359 81569350 999123405 81567175 984082458 548843197 984083663 548841309 999999717 13060557 999999822 13038890 984095378 548527328 984097653 548526328 999999329 734773661 999999435 734752199 978117541 716053902 978119718 716052857 983752057 548539782 983754648 548538904 999997287 4363580 999999286 4362442 999972468 81526929 999974328 81525706 978107389 715948169 978109111 715946848 977347831 715074594 977349949 715073520 978105867 715937366 978107486 715935961 999996307 657536333 999997674 657534669 999998060 60504268 999999365 60502525 978020254 715843758 978022081 715842513 999998060 56517387 999999365 56515644 999994744 10950819 999996304 10949361 999999435 777505055 999999752 777497880 999999605 26086312 999999895 26078469 999188580 4817767 999190949 4816807 999999944 623094968 999999971 623010737 998742483 196313101 998745100 196312232 999982402 80955378 999983835 80953791 999994156 226664749 999994326 226651372 993365594 700651931 993366691 700649858 999998169 195686298 999999746 195684856 999998169 195386570 999999746 195385128 999998169 90776033 999999746 90774591 999999925 652749240 999999979 652707130 977357852 715067040 977359319 715065490 978688070 715755764 978690297 715754743 998999571 4962966 999001377 4961707 998834446 196264504 998835696 196262685 999999989 106839899 999999990 104566180 999999991 754740679 999999992 752467058 999124785 81574388 999127196 81573445 992107657 719851595 992110172 719850691 999973291 133293791 999974532 133291959 999994616 24965483 999996319 24964148 977970003 715744549 977970410 715738963 999999899 15791442 999999943 15739772 999995308 133281555 999996527 133279690 999996307 657689568 999997674 657687905 999998060 63595295 999999365 63593553 999999969 689057488 999999993 688962768 999998292 623992123 999999476 623990203 999006883 4974717 999008362 4973180 998823928 196251898 998826341 196250956 978113620 716024523 978115204 716023088 993327927 700621362 993328767 700618656 999999605 26345493 999999895 26337655 999999329 727623576 999999435 727602133 999999410 228245792 999999909 228241237 999999969 702450666 999999993 702355960 978117674 715962913 978119718 715961801 984066214 548860157 984070244 548859593 993355413 700659777 993356578 700657826 999997287 4675948 999999286 4674811 999024857 4958202 999026158 4956455 984056050 548449628 984057420 548447969 999999986 727716037 999999988 726579634 993326937 700597604 993328868 700596427 999999909 207633512 999999919 207406239 999976135 133288441 999977200 133286307 999999045 196174273 999999639 196170447 999999045 196042039 999999639 196038213 983836143 548492890 983838209 548491790 999999435 733815284 999999752 733808115 999999948 103586849 999999959 103380252 999999971 618918384 999999983 618729007 984096634 548822940 984098439 548821681 999998169 195696760 999999746 195695319 999999605 25472744 999999895 25464908 999999638 10150737 999999843 10139652 999995078 624887594 999996307 624885745 999994355 24702906 999995124 24699951 993138772 710135632 993140115 710133940 992115542 719855180 992116925 719853537 984035285 548456828 984036439 548454859 999999993 952187315 999999996 951429921 999999925 657038426 999999979 656996349 999991756 20094400 999992920 20092448 999999598 21755340 999999829 21745504 999998292 624230595 999999476 624228676 999998292 623842098 999999476 623840179 999999923 199356055 999999955 199285053 999996307 657903551 999997674 657901889 999996307 651588220 999997674 651586558 999990796 78120342 999992545 78119043 999983190 135247958 999985383 135246922 999995907 10967557 999997632 10966240 999999144 10628729 999999605 10623801 999997028 135217073 999998169 135215082 999999993 762754066 999999994 760482338 999999717 14161806 999999822 14140171 999999789 716839135 999999932 716823250 999015323 4976196 999016228 4973686 999970774 3182 999973312 2287 999999930 805507187 999999951 805399030 999999998 919453965 999999999 917182885 999999923 204312987 999999955 204242017 999994609 30104168 999996112 30102657 993146814 710115508 993148326 710114006 999998292 623661200 999999476 623659282 999998169 90829577 999999746 90828137 999999980 777800324 999999981 775529460 998838801 196262807 998841899 196262074 977342307 715059328 977343872 715057877 978092774 716043921 978094174 716042299 993361505 700590938 993363511 700589806 999998060 63817173 999999365 63815433 999998060 63447159 999999365 63445419 999998060 62728644 999999365 62726904 999998060 56701193 999999365 56699453 999996307 650427640 999997674 650425979 978105506 716051230 978107628 716050160 999981420 9874779 999982629 9872901 977322527 715063236 977324361 715061998 978495686 716057139 978497148 716055586 983975248 554673558 983976653 554671942 999999367 24784388 999999638 24776010 978117019 715982568 978118094 715980456 999999997 728717103 999999998 726446776 999999993 926502450 999999996 925745680 999995428 78113513 999996481 78111357 999999948 77650154 999999959 77443768 999999882 34056925 999999997 34037184 999999948 154005449 999999959 153799067 999999829 16171405 999999899 16138974 983975786 554585150 983978173 554584199 999999925 642473181 999999979 642431146 978025404 715821395 978026450 715819225 999999598 21259675 999999829 21249849 999998840 30417833 999999605 30414866 999174248 4823838 999175283 4821645 999986089 135228496 999987879 135227228 999999997 1000000000 999999998 997730327 999999822 15077284 999999980 15062919 999072223 91963426 999075362 91962703 999999998 694794908 999999999 692525469 999133735 81577117 999134903 81575174 999999435 775488785 999999752 775481626 999985805 30810105 999987426 30808705 999998060 56321711 999999365 56319972 978107996 715941296 978109247 715939482 999998169 195334709 999999746 195333270 999998169 91611614 999999746 91610175 999998169 90922719 999999746 90921280 999999996 906767055 999999997 904497774 978110725 715896177 978111947 715894320 999996307 657231306 999997674 657229646 999996307 656930634 999997674 656928974 999991537 20314982 999995338 20314385 999999598 18942729 999999829 18932906 999999882 37185789 999999997 37166059 978491177 716059236 978492874 716057899 993349070 700687307 993349892 700684547 983756012 548536151 983757047 548533959 999990808 16036578 999991419 16032865 999977909 80995993 999979721 80994741 999165326 4802260 999165848 4797914 999991419 18643416 999991537 18624191 978687140 715763922 978688449 715762189 999999286 6632389 999999455 6618966 999993414 9075226 999995317 9074034 999993032 624956944 999994800 624955661 984092396 548479989 984094266 548478776 999987426 30804153 999988147 30801007 978494007 716060927 978495181 716058995 999999435 771215179 999999752 771208024 977351285 715080398 977352716 715078813 999991537 18933374 999992303 18930413 999998060 63314815 999999365 63313077 978010508 715745743 978012610 715744664 999999144 8042418 999999638 8037827 984066214 548823893 984072360 548823524 999996307 657136350 999997674 657134691 999144229 81566052 999145434 81564170 999999923 229257540 999999955 229186673 999998169 90669072 999999746 90667634 984052032 548450416 984054675 548449558 999999946 770603728 999999975 770525536 999150400 81571946 999153932 81571304 999999144 7214058 999999638 7209468 993367658 700604553 993369028 700602898 999999329 729517598 999999435 729496208 999999988 68374416 999999989 66107194 999996865 30196483 999998562 30195147 999999998 856464170 999999999 854197159 999999979 641151871 999999997 641025926 984070363 548715054 984071294 548712619 999999884 649533531 999999925 649478240 999985894 81182754 999987089 81180857 999999986 737751886 999999988 736618443 998826341 196252364 998827951 196250956 999981420 10634729 999982629 10632854 999999948 86622241 999999959 86416165 978118159 715977852 978119718 715976398 999998060 56587887 999999365 56586150 999998060 56289781 999999365 56288044 984068659 548845206 984070392 548843898 984061878 548455729 984063177 548453984 999999948 96524499 999999959 96318434 999999975 857277159 999999982 856953348 999999822 13019488 999999980 13005142 999999435 735094470 999999752 735087320 999996307 650765541 999997674 650763883 999996307 650290467 999997674 650288809 999999710 2292232 999999947 2282669 999188008 4816807 999189903 4815611 999993414 10895106 999995041 10893713 999999841 650446137 999999884 650393430 984033419 548450710 984034461 548448535 999999930 791082859 999999951 790974939 999999884 657245329 999999925 657190053 999988030 135242193 999989776 135240895 993096923 710146268 993098445 710144779 999999969 663901375 999999993 663806949 998874892 196276670 998877757 196275879 993099158 710125552 993100550 710123924 999999976 211354348 999999984 211071076 999998169 91484747 999999746 91483310 999999367 24851017 999999638 24842655 999999717 14600580 999999822 14578999 999174598 4802933 999177965 4802260 984095996 548725484 984097344 548723803 999999789 718852032 999999932 718836186 999994755 625157353 999996307 625155893 993327165 700591669 993328717 700590209 978096113 716049504 978096931 716046734 993134603 710125540 993135897 710123789 999999993 671974622 999999995 670841731 999999948 66817332 999999959 66611352 978102650 716039909 978105647 716039153 984041394 548451077 984043437 548449968 977959434 715748066 977960517 715745974 999999435 721822260 999999752 721815113 999986253 80996168 999987363 80994127 984048451 548459105 984050856 548458163 984051649 548452113 984052984 548450416 984087105 548841031 984088120 548838799 999998060 60443642 999999365 60441906 999996455 24638923 999997465 24636680 999999455 6232052 999999607 6217148 978095284 716027709 978096967 716026363 999971889 135231222 999974466 135230343 978108547 715942709 978110150 715941296 999999329 728860322 999999435 728838954 978113403 715954640 978114286 715952075 999997287 4280091 999999286 4278958 984079693 548857824 984081792 548856745 983768848 548494295 983769828 548491984 999997141 78069814 999998169 78067611 998827429 196278650 998828475 196276485 999998169 195754196 999999746 195752760 999998169 91290090 999999746 91288654 992138479 719744777 992139669 719742874 999991419 23651512 999991537 23632321 983755577 548487924 983756987 548486318 999981420 10768516 999982629 10766643 999999982 118919313 999999988 118541911 977325312 715064033 977327168 715062813 992109598 719848016 992112439 719847219 984086191 548504637 984088118 548503462 999989219 26680500 999991441 26679481 977995618 715742815 977996328 715739626 999998060 63189042 999999365 63187307 999998060 56448290 999999365 56446555 977957699 715794725 977958723 715792514 999993032 625150674 999995312 625149681 999999435 733346083 999999752 733338941 999999435 720697509 999999752 720690367 983768848 548507628 983771891 548506884 999999144 10598369 999999605 10593458 999990583 81525648 999991696 81523614 983658139 548918668 983660197 548917568 999999994 109608060 999999995 107344269 977347778 715069546 977349518 715068245 993330819 700604672 993332392 700603233 984045814 554472700 984047906 554471618 999996515 30035798 999997944 30034214 984097167 548486551 984098261 548484482 993109767 710134654 993111834 710133559 999999884 648383030 999999925 648327826 993350314 700591193 993351751 700589618 999981420 10440713 999982629 10438841 999995665 24850973 999996831 24849032 999999975 938110816 999999982 937787509 999990808 23647793 999991419 23644089 978621879 715744045 978622465 715740183 999999710 1927168 999999947 1917619 999999990 131913238 999999991 129650134 993107274 710115890 993109391 710114821 999999988 92937764 999999989 90674796 999994918 30251269 999996697 30249997 999999923 198389241 999999955 198318527 999999975 988449722 999999982 988126459 984083642 548829787 984084693 548827634 999957005 739 999960071 1 999999925 653246725 999999979 653204824 999999598 19468403 999999829 19458608 999188381 4837188 999189727 4835507 999998292 624581643 999999476 624579732 999998292 623811554 999999476 623809643 999997002 30177856 999998840 30176625 999999990 143808772 999999991 141546321 999996307 656909456 999997674 656907801 999996307 650830923 999997674 650829268 999996307 650253091 999997674 650251436 999023562 4958202 999024857 4956455 999999882 35016607 999999997 34996935 999999789 716314096 999999932 716298276 999999607 5087531 999999730 5069139 999999435 732402152 999999752 732395016 999993414 11002571 999996475 11001832 999999841 642791481 999999884 642738875 999981420 10747104 999982629 10745233 999981420 10442584 999982629 10440713 999999717 12290476 999999822 12268933 999999996 205213783 999999997 202951793 999999923 223643791 999999955 223573104 993143305 710133685 993143759 710128703 999153517 91966663 999155035 91965173 999999822 12211212 999999980 12196897 999998060 63986385 999999365 63984652 999991720 20041612 999993389 20040257 999993669 16296587 999995338 16295232 984101345 548833051 984102826 548831524 999999435 776944474 999999752 776937340 999999948 111544085 999999959 111338499 999998292 623444158 999999476 623442248 999999923 223088627 999999955 223017957 999998169 91035515 999999746 91034081 999993281 133266281 999993881 133262512 999985583 81159140 999987282 81157809 999999789 717195227 999999932 717179414 999999982 138686065 999999988 138309194 993343999 700616108 993345634 700614725 993225592 700616558 993227190 700615143 984092563 548575176 984094476 548573994 999999435 776758760 999999752 776751627 977366831 715074459 977368203 715072811 993095490 710161344 993097138 710159972 992121020 719856778 992122493 719855243 984084480 548721149 984085404 548718702 999996307 651510889 999997674 651509235 999996307 650575396 999997674 650573742 999999882 34104096 999999997 34084435 999999605 30478018 999999855 30468974 999991634 16293255 999992365 16290162 999999990 759265527 999999991 757004561 999991537 16377602 999992424 16375053 999999955 216112778 999999976 216005116 999997287 4941798 999999286 4940667 999999979 654208015 999999997 654082412 999999605 25960656 999999895 25952860 999979721 80995928 999981767 80994823 999999598 18925318 999999829 18915531 984048451 548462405 984050856 548461465 984081653 548956309 984082765 548954276 993347586 700674900 993348837 700673093 999991058 135262371 999992202 135260395 999999993 88546665 999999994 86286123 999997828 133290421 999998169 133283792 983745794 548510767 983747150 548509100 983976290 554609904 983977928 554608524 978111569 715988820 978112316 715985794 993101890 710129902 993103755 710128690 999998060 62697267 999999365 62695535 993227370 700609127 993229021 700607758 983770514 548549873 983772153 548548494 978010747 715862287 978012952 715861262 993144365 710115590 993145499 710113597 999999435 773339815 999999752 773332686 984085137 548723296 984086421 548721536 983646369 548939458 983647612 548937640 999999930 778341613 999999951 778234006 984100138 548516223 984101716 548514791 999999989 119214921 999999990 116955232 999999598 16043712 999999829 16033930 999981420 10595834 999982629 10593965 978011678 715849103 978013120 715847536 999999435 732050640 999999752 732043512 978109371 715986347 978111569 715985319 978094570 716038215 978096931 716037258 999999598 16905085 999999829 16895304 999999923 228291827 999999955 228221222 999999948 137688933 999999959 137483537 999999841 646643132 999999884 646590589 992073989 719743621 992075009 719741406 992144509 719752718 992145657 719750750 978107628 716062712 978108747 716060693 998914078 1677 998915426 1 977325538 715078416 977327168 715077030 999999996 738863934 999999997 736604777 999992142 135251251 999993570 135249669 999998292 624323663 999999476 624321755 983752478 548490844 983754386 548489660 999999410 229251176 999999909 229246649 983973080 554674692 983975496 554673757 984093708 548844886 984094846 548842901 999997958 4905084 999999286 4903383 983751181 548514950 983751721 548510767 999994156 231261878 999994326 231248591 999991419 16638634 999991537 16619492 978103895 715977236 978106036 715976181 999132012 81568278 999134153 81567223 993126564 710120391 993128226 710119032 999999944 634640320 999999971 634556666 999999989 156433545 999999990 154175046 999999822 12766791 999999980 12752497 992144178 719887093 992145657 719885566 999994700 625007003 999996264 625005559 984068029 548563110 984069625 548561695 999978800 133289131 999981121 133288158 999996307 657873867 999997674 657872215 999990808 16478886 999991419 16475190 998755118 196280993 998756314 196279105 999999923 201901935 999999955 201831372 999150400 81571304 999152041 81569928 999999435 775167773 999999752 775160650 999999410 227903374 999999909 227898849 984099998 548504414 984100984 548502124 992109421 719849210 992111312 719848016 999999975 906281151 999999982 905958603 978011357 715832890 978012964 715831485 999170659 4834952 999172239 4833523 999999976 212754143 999999984 212471933 999998060 63732873 999999365 63731143 999998060 63620750 999999365 63619020 999999542 28311696 999999837 28304043 999999542 27088785 999999837 27081132 999999730 6148102 999999894 6134336 993357620 700610174 993359919 700609192 977366291 715069188 977366706 715063748 999997532 78107706 999998169 78104162 999998840 30717098 999999605 30714147 999147534 91966663 999149041 91965165 983977794 554611726 983979033 554609904 999976099 135238164 999977026 135235729 999013765 4969768 999015632 4968559 999999884 640306015 999999925 640250962 993330137 700622937 993331363 700621096 999999329 727045256 999999435 727023963 978013291 715817292 978015042 715816003 984066214 548582721 984067375 548580777 999995603 30216044 999996808 30214171 999999998 675826589 999999999 673569644 999999923 208437981 999999955 208367452 999996307 657268870 999997674 657267219 999994984 11041413 999996513 11039937 999991419 23862288 999991537 23843163 999981564 80968682 999983308 80967388 999999435 772793214 999999752 772786095 978495181 716063203 978498108 716062432 999999955 210622761 999999976 210515301 993355446 700628686 993357522 700627599 993092346 710146499 993093476 710144502 999999955 211289869 999999976 211182412 983745794 548545947 983747899 548544875 999991419 18224312 999991537 18205189 999999946 764338795 999999975 764260987 999999841 640200805 999999884 640148331 999998060 60185915 999999365 60184186 999999923 216972236 999999955 216901728 999999998 986040895 999999999 983784648 984091735 548829107 984092266 548824858 999989918 81150488 999991257 81148803 999999605 25678453 999999895 25670673 984091238 548578425 984092837 548577014 984088609 548827634 984089700 548825566 999152267 81582133 999153664 81580518 999999455 5172837 999999607 5157994 999999144 10018310 999999638 10013743 999999944 624425303 999999971 624341744 999999435 721155269 999999752 721148152 983649851 548960784 983651206 548959119 999999710 583461 999999947 573942 978114555 715883199 978116905 715882239 999999410 231267368 999999909 231262847 999999990 209730635 999999991 207474793 999999829 24614142 999999899 24581917 999999992 78007017 999999993 75751302 993163929 710128621 993165531 710127213 984098459 548502818 984099867 548501216 999992577 16299331 999993399 16296587 999998292 623656764 999999476 623654859 999975737 81001609 999977020 80999851 977958648 715803540 977959827 715801627 984014693 548461073 984016064 548459428 999972899 81150401 999975152 81149400 999982077 81142573 999983918 81141348 999988147 30802255 999989954 30801007 999999710 2924116 999999947 2914601 999974886 135187077 999976781 135185887 999981695 81519381 999982776 81517295 999984952 135261938 999986193 135260121 999986962 30744044 999989405 30743121 999999986 748213964 999999988 747086547 999999841 639899932 999999884 639847497 983637783 548906387 983639081 548904650 978633040 715746457 978634876 715745229 999990808 16201998 999991419 16198308 992110953 719871135 992113975 719870389 999999638 9366395 999999843 9355398 999998292 623964264 999999476 623962360 999999995 169155992 999999996 166901673 999993950 78127606 999994595 78124111 999999899 16090534 999999943 16039302 999994156 222858343 999994326 222845083 999983606 30774396 999985646 30773291 999999435 772508514 999999752 772501403 984098999 548580946 984100296 548579208 999998018 24844956 999999367 24843285 999995943 24959522 999997249 24957796 984089230 548547594 984090592 548545939 999999598 17580052 999999829 17570294 999999993 787716629 999999996 786965264 999996246 135221089 999997996 135219801 999999955 212717910 999999976 212610581 993138309 710133236 993140115 710131988 993333909 700598578 993336223 700597604 999998060 56542075 999999365 56540348 999998840 30804874 999999605 30801928 999999710 3699374 999999947 3689865 999999969 719330855 999999993 719236959 992125451 719853065 992126580 719851069 999999598 22093738 999999829 22083983 999999710 3833599 999999947 3824091 983976420 554693891 983978033 554692494 999992564 135234439 999998169 135234037 999993992 20326137 999995338 20324463 999999598 21637283 999999829 21627529 999995067 624851124 999996307 624849307 999163108 4959422 999164772 4958068 999989023 26678166 999990274 26676365 992139444 719877908 992141398 719876755 977323159 715082543 977325538 715081596 999996307 656863457 999997674 656861809 999996307 650931094 999997674 650929446 992095461 719747384 992096692 719745554 984100525 554473850 984102826 554472871 999999144 10065556 999999638 10060996 999999882 34726632 999999997 34707044 999999410 229462829 999999909 229458315 999998060 60050740 999999365 60049014 999994314 24801477 999995924 24800078 984084797 548556508 984086273 548554982 999999455 6427737 999999607 6412919 999131604 81583665 999132724 81581654 999999955 200298382 999999976 200191130 999999435 772739475 999999752 772732370 999999994 165229539 999999995 162977260 999999982 89494575 999999988 89119205 998749741 196287856 998750893 196285901 999999999 959944964 1000000000 957692809 992134082 719747838 992135632 719746385 977342307 715070876 977343163 715068245 978005859 715744317 978006885 715742122 983651869 548909895 983655100 548909198 999999710 1550775 999999947 1541273 999999992 194370732 999999993 192118775 999998169 195421753 999999746 195420325 999997287 5048272 999999030 5046980 998867143 196260966 998868926 196259703 999971942 133213874 999972906 133211538 978111658 715900555 978113881 715899542 984029256 548460884 984031131 548459683 999999329 731461686 999999435 731440442 984073811 548578661 984075214 548577056 999999598 20157540 999999829 20147792 999999931 627852292 999999944 627679087 999999730 6683910 999999894 6670181 999999410 231086381 999999909 231081869 999999410 227386943 999999909 227382431 999992998 19022021 999994505 19020527 999996307 657197774 999997674 657196127 999999969 705474285 999999993 705380479 999999435 773773583 999999752 773766481 999983308 78083295 999985211 78082112 999999286 6143487 999999455 6130166 999999925 644117730 999999979 644076041 999000262 4968510 999001745 4966992 993369004 700612033 993371700 700611198 993137056 710127587 993138538 710126068 999999144 10054173 999999638 10049616 992111312 719850533 992113410 719849460 999998060 60323616 999999365 60321891 999999829 21927945 999999899 21895787 999999435 775774861 999999752 775767760 999999410 229420367 999999909 229415856 999991721 133288459 999992926 133286591 999947615 2469 999948527 1 999986550 133218169 999987734 133216268 999991419 21718155 999991537 21699081 993361135 700626950 993362384 700625148 984080102 548716744 984082775 548715902 999999598 18206021 999999829 18196278 993230509 700617314 993233486 700616558 999999999 984305893 1000000000 982055299 999999822 13650818 999999980 13636574 999994401 133289169 999994956 133285114 999991537 20349992 999994570 20349250 999976734 133291480 999978401 133290130 999999435 773251429 999999752 773244330 998994075 4947844 998995136 4945723 984076728 548721225 984079469 548720404 999990808 23339236 999991419 23335553 999102090 81559878 999104145 81558783 984096994 548956992 984098667 548955647 993158038 710133158 993159575 710131694 999994156 226851184 999994326 226837948 999996307 657326368 999997674 657324722 999996307 657109606 999997674 657107960 999981420 9622260 999982629 9620399 999993032 625270229 999996307 625269542 999999638 7435415 999999843 7424440 999999948 120370679 999999959 120166146 999999816 24670714 999999966 24655715 999998027 4590297 999999286 4588510 999998060 63423257 999999365 63421533 992135828 719742734 992137194 719741087 999999144 8595782 999999638 8591228 999979334 81524993 999981215 81523797 983760095 548535351 983762812 548534523 999996490 30102341 999997497 30100107 999998292 623454807 999999476 623452907 999984468 81515191 999984848 81509271 999999730 6697627 999999894 6683910 998745100 196298729 998747478 196297783 984096638 548502695 984098159 548501216 999999841 655696163 999999884 655643848 999989365 133218169 999992520 133217456 999999638 9946408 999999843 9935435 998750896 196291015 998751608 196287856 999984145 78131988 999985504 78130333 999999435 721039249 999999752 721032154 999999931 637045021 999999944 636872013 999994156 231305515 999994326 231292285 999997129 196105661 999998309 196103755 999991696 81526161 999992579 81523614 978579827 715804815 978582427 715803950 999999829 23068997 999999899 23036870 983654569 548919634 983656897 548918668 999999944 620721336 999999971 620638047 993364221 700636540 993365922 700635218 999024122 4956282 999025274 4954330 999999944 638392694 999999971 638309409 999999144 9640248 999999638 9635696 999999329 734236744 999999435 734215530 999996294 24688013 999998073 24686749 999999909 216543638 999999919 216318775 977965876 715742697 977967277 715741092 998739492 196273437 998740874 196271810 999999410 229026004 999999909 229021498 998874541 196269419 998875769 196267588 999999149 26428483 999999314 26414856 999998292 623843997 999999476 623842098 999998292 623618652 999999476 623616753 999999946 766134066 999999975 766056535 999991039 135204184 999992754 135202873 998749842 196285901 998751021 196283994 999999955 211000897 999999976 210893834 999999144 10543174 999999605 10538297 983655957 548934221 983656978 548932019 993364390 700674207 993366577 700673179 984008700 548455870 984011662 548455111 993351751 700596525 993352694 700594141 999999455 4817753 999999607 4802963 999979035 133253059 999979895 133250445 984003722 548451373 984005821 548450302 984003722 548450302 984005821 548449231 999991419 18719622 999991537 18700571 999993513 29971682 999998840 29971260 999993032 624943568 999994910 624942371 999999919 216195812 999999923 215633839 999990808 16573102 999991419 16569423 999999598 23014224 999999829 23004493 999999979 646027113 999999997 645902232 999986801 80964444 999989427 80963588 999999837 28717717 999999983 28702321 999999930 795244755 999999951 795137719 999991537 20170658 999992555 20168450 999999884 641590562 999999925 641535739 999999969 670874101 999999993 670780448 999999598 22532846 999999829 22523116 999993583 20338351 999994753 20336430 993098918 710112773 993100839 710111603 999152903 4955845 999153859 4953494 999984640 30803268 999985140 30798773 999999930 807404147 999999951 807297127 999996307 656875435 999997674 656873791 999999944 636750654 999999971 636667420 984095528 548723803 984096993 548722269 999994335 24808592 999994947 24804920 999993440 16330853 999995338 16329669 999998060 63042207 999999365 63040485 999998060 56562724 999999365 56561002 999993070 20185506 999994816 20184219 999999899 18417909 999999943 18366840 999999948 114161273 999999959 113957001 984100047 548571257 984101602 548569812 984005821 548451373 984007792 548450233 999175594 4836628 999177992 4835691 999999930 783983971 999999951 783876981 999999948 75317080 999999959 75112832 999999829 18784668 999999899 18752572 983642134 548921818 983644124 548920689 984059680 554485495 984060634 554483140 999994848 30088617 999996691 30087398 977957699 715758301 977959026 715756608 999999435 733194997 999999752 733187910 999998121 10999030 999999144 10996834 999999841 641543864 999999884 641491620 999994017 625300235 999996307 625299254 984090339 548853426 984091429 548851365 993098124 710161381 993100550 710160455 983970200 554662007 983972055 554660796 999981420 9841097 999982629 9839239 998857196 196253018 998859054 196251809 984099677 548462285 984101490 548461046 999999991 109309039 999999992 107062859 999996307 657332745 999997674 657331102 999996307 650871220 999997674 650869577 999996307 650298841 999997674 650297198 999996307 650292110 999997674 650290467 999999435 773597086 999999752 773590001 999999329 729255684 999999435 729234496 999998060 56565532 999999365 56563811 999991784 133275226 999993460 133273886 999999930 797490999 999999951 797384058 999125736 81586109 999127020 81584360 999999884 657995670 999999925 657940897 999999822 15319674 999999980 15305461 999998169 195414296 999999746 195412872 999998169 90734640 999999746 90733216 999994156 225660029 999994326 225646820 999999984 228671038 999999985 226425549 978113120 715892009 978114281 715890075 978111101 716037203 978112268 716035279 999167733 4808234 999168859 4806240 999999144 8810676 999999638 8806131 999999931 633600074 999999944 633427366 999999993 827215432 999999996 826467046 999980583 135227349 999982229 135225985 983833907 548522919 983835961 548521826 992062679 719742896 992064785 719741830 999997287 5093684 999999286 5092561 999997287 5044946 999999286 5043823 999997287 4956336 999999286 4955213 999993187 81146823 999994430 81145017 999994286 135189538 999995066 135186660 999008514 4964413 999009859 4962744 977345934 715078481 977347162 715076653 992120607 719864903 992122199 719863493 999999925 644798549 999999979 644756981 999999598 24072790 999999829 24063073 999996307 650450363 999997674 650448721 999991419 19734518 999991537 19715496 999002541 4955636 999004471 4954473 999980619 81519381 999981695 81517295 999999999 660336515 1000000000 658092007 999999991 100396142 999999992 98151666 983976767 554671803 983978642 554670606 999971889 135229796 999972987 135227752 999993414 11006460 999995445 11005355 999999995 670466199 999999996 668221959 999984135 133267230 999985711 133265806 983649465 548940773 983650081 548937130 999998169 91279243 999999746 91277820 999998169 91056807 999999746 91055384 999999542 29395882 999999837 29388275 992095461 719747905 992101660 719747543 999999948 88427792 999999959 88223800 999999944 634057357 999999971 633974252 977320989 715063860 977322194 715061998 999999144 10784669 999999605 10779802 999983947 30760237 999985301 30758580 978118958 715995895 978119718 715992943 978015614 715862122 978017260 715860759 999994156 224702440 999994326 224689243 978117870 715870354 978119718 715869140 999999946 744700804 999999975 744623444 999999789 714101655 999999932 714085967 978108747 716061992 978110474 716060693 999990062 135189186 999991684 135187803 984089070 548833513 984090507 548831952 999999884 652907828 999999925 652853118 999999435 776859056 999999752 776851980 999999982 761764225 999999983 759521152 999999923 228736652 999999955 228666557 999999410 229355880 999999909 229351385 999990808 16434090 999991419 16430419 999977182 133275070 999981238 133274517 984072360 548846056 984074368 548844939 984097626 548854530 984098568 548852149 992105349 719752124 992106069 719749009 999999841 654579778 999999884 654527623 999995131 625229338 999996307 625227431 983751335 548526901 983753297 548525758 984049672 554475329 984051283 554473937 999998292 624331220 999999476 624329326 983769237 548543831 983772153 548543062 999999605 25666666 999999895 25658934 998990224 4958031 998991738 4956550 999982188 30773291 999983380 30771410 999999843 10249963 999999936 10225854 999999329 721597902 999999435 721576750 993116090 710130755 993117356 710128984 999999931 629105541 999999944 628933075 998885463 91965252 998887796 91964291 999999410 229166477 999999909 229161984 999999542 29253099 999999837 29245499 999993513 30049333 999995531 30048222 999998060 56590224 999999365 56588506 999994156 221493878 999994326 221480690 999987140 81151416 999987998 81148803 999986663 81141923 999987651 81139654 999992446 30809583 999993513 30807482 983653923 548912246 983655759 548911025 993101871 710134005 993103340 710132479 993356536 700675545 993358404 700674345 999998130 4965885 999999286 4963946 983762761 548515102 983764430 548513759 999998840 30670739 999999605 30667809 999999997 210810517 999999999 209689819 999999975 866671035 999999982 866350843 999991537 20245996 999992579 20243845 999156341 4963020 999157437 4960975 999990808 24145002 999991419 24141334 999999542 28738094 999999837 28730497 999993414 10893099 999995816 10892166 999991419 22719951 999991537 22700959 993366746 700612698 993368240 700611198 993142991 710135632 993144142 710133685 999982712 80985078 999985132 80984152 999998169 195963561 999999746 195962140 999998169 195846603 999999746 195845182 999999975 969451537 999999982 969131413 999999975 868519308 999999982 868199188 999992824 18894753 999994793 18893615 999998840 30427306 999999605 30424377 999998060 60418073 999999365 60416356 999999923 219609370 999999955 219539349 998873123 196253643 998874691 196252214 999999975 960380101 999999982 960060012 999992607 30766092 999993513 30763619 978686091 715798698 978688139 715797604 999999993 159053127 999999994 156812793 999993032 625214969 999993837 625212186 999999144 8791583 999999638 8787048 999999144 8621047 999999638 8616512 999999969 701005491 999999993 700912151 999999975 775738498 999999978 774991792 999999946 749185908 999999975 749108663 978581002 715740656 978582427 715739084 999991666 19020045 999992666 19017805 999999435 733280139 999999752 733273073 999996868 30069417 999998022 30067476 999991537 20039328 999993402 20038127 999994706 625351612 999996307 625350213 999992878 20038085 999994411 20036624 998742483 196315126 998743589 196313101 999085002 91966663 999087330 91965701 998859261 196276581 998860155 196274076 999999982 75525265 999999988 75152023 977982231 715737914 977984401 715736882 999999829 23015396 999999899 22983404 999999990 176709536 999999991 174470247 999994989 624996827 999996307 624995128 978588572 715747913 978589853 715746165 999996307 657886238 999997674 657884600 999999923 217895628 999999955 217825655 993366852 700608463 993368408 700607024 999999149 26490915 999999314 26477345 978010812 715869140 978012116 715867423 978023655 715842854 978025198 715841403 999999946 724911211 999999975 724834010 993225592 700615143 993227190 700613742 999993032 624875581 999995193 624874545 998841899 196279021 998842934 196276858 999999710 984259 999999947 974813 999999955 221575378 999999976 221468775 993098445 710146499 993099832 710144885 978011678 715857699 978012685 715855476 999999946 734590499 999999975 734513313 984076249 548447800 984081604 548447382 993092576 710168083 993093858 710166337 984021867 548464109 984023400 548462649 999999930 785637666 999999951 785531089 999999999 38727181 1000000000 36489073 999999314 25421734 999999605 25414043 999998060 62746807 999999365 62745092 999998060 56533320 999999365 56531605 999996934 135242141 999998149 135240299 999992665 19037179 999993865 19035314 993114111 710112238 993114857 710109238 999999988 735739426 999999989 733501539 999994610 20146707 999995338 20143633 999996307 650465422 999997674 650463785 998897521 91964397 998898842 91962703 999998169 90837623 999999746 90836204 999992861 16268819 999993981 16266821 983760430 548546870 983761244 548544121 999993400 133258065 999995356 133256921 999971988 133295546 999973263 133293791 978094170 716005011 978095445 716003256 992112306 719843264 992113076 719840358 999999542 28397942 999999837 28390357 999971889 78124101 999972162 78115905 999999841 643440098 999999884 643388064 999999995 71471576 999999996 69234157 983772110 548488512 983773910 548487269 999999789 712657270 999999932 712641624 992108643 719841655 992110368 719840358 999998148 5143790 999999286 5141824 993227042 700594626 993228043 700592391 999999986 224421423 999999991 223973982 983977207 554624870 983979166 554623728 999999983 769213592 999999985 768095030 992069158 719743584 992070253 719741541 978116406 716037022 978118377 716035887 978024983 715869099 978025824 715866439 999999997 144471767 999999998 142234759 999999948 95991184 999999959 95787822 992144265 719740943 992145657 719739336 999999329 725454539 999999435 725433436 992114441 719850691 992116376 719849535 999161545 4954231 999163431 4953045 999998060 60031496 999999365 60029782 999999435 775015858 999999752 775008802 999981420 9586867 999982629 9585017 999999829 18227468 999999899 18195516 978015847 715812873 978017305 715811339 999999882 30849592 999999997 30830144 999999435 733896068 999999752 733889013 999989219 26682596 999990286 26680500 999996307 651186035 999997674 651184399 993118797 710117480 993120689 710116298 999999144 8591228 999999638 8586701 999993651 78124111 999994424 78121218 978113881 715900555 978114730 715897921 993153700 710120868 993155286 710119458 999999969 701671529 999999993 701578352 999999789 714525286 999999932 714509648 977340468 715059347 977342307 715058131 984074852 548562489 984077280 548561568 999998169 90855384 999999746 90853966 999994314 24821235 999996734 24820311 999999410 227767821 999999909 227763340 999999923 223443083 999999955 223373208 999999946 765294978 999999975 765217875 999999329 729363353 999999435 729342259 999999948 121646700 999999959 121443434 977970410 715742671 977971013 715738963 977318844 715067450 977319701 715064841 999996176 11056353 999998403 11055349 978605862 715745598 978608703 715744811 999999329 721307861 999999435 721286768 999999992 220517214 999999993 218281463 999127720 91966663 999128711 91964407 999023525 91966663 999025273 91965384 999999969 699754271 999999993 699661120 999973914 80979153 999976179 80978166 999999717 14947049 999999822 14925758 993361076 700664933 993362305 700663114 999999730 6869643 999999894 6856012 999999435 775519767 999999752 775512715 999999435 772908196 999999752 772901144 999999435 720573921 999999752 720566869 999998060 63184832 999999365 63183119 999999822 13065168 999999980 13051020 999999974 785633875 999999975 783398689 999999983 17614464 999999984 15379284 983979824 554586799 983981416 554585395 978491667 716049741 978493880 716048731 999999925 647475132 999999979 647433741 999996307 651544806 999997674 651543171 999999975 956292529 999999982 955973239 999999605 26242792 999999895 26235085 999982445 133226266 999984128 133224938 984079516 548582721 984082255 548581905 999999410 231123445 999999909 231118966 999999789 718359231 999999932 718343602 999985158 80996168 999986253 80994127 999999998 807963329 999999999 805728488 999993630 9088034 999995247 9086652 999020231 4977101 999021619 4975491 993160460 710135632 993161748 710133897 999975185 81136322 999976198 81134116 999976206 81171464 999977792 81170055 999971889 81538998 999973403 81537522 999999435 771632969 999999752 771625920 999988419 133227370 999990488 133226290 999974687 133275593 999975681 133273345 999140265 4948926 999141736 4947407 992065150 719749582 992067982 719748793 999999998 802704188 999999999 800469756 978091359 716046734 978092689 716045054 999146880 81572155 999148210 81570475 999994321 9081273 999997107 9080471 999999895 26150306 999999927 26080482 999993032 625257564 999994123 625255516 999999882 34257496 999999997 34238067 999995495 81173987 999997223 81172694 993371293 700673544 993373025 700672254 977332024 715064232 977333300 715062481 984080446 548703067 984082354 548701896 978015847 715811339 978017149 715809623 999999944 624892562 999999971 624809813 999998292 624428019 999999476 624426132 999998292 624167105 999999476 624165218 977342307 715076708 977345314 715075965 999981370 81163389 999982527 81161458 999998060 60415005 999999365 60413293 984093342 548956369 984094549 548954518 999995489 24647547 999996954 24646022 999999969 682237564 999999993 682144476 999999149 25579918 999999314 25566378 999994156 227361698 999994326 227348557 999999948 131441044 999999959 131237971 999010236 91964678 999011367 91962703 999996307 651524816 999997674 651523182 992068063 719748516 992069929 719747319 999999710 672064 999999947 662640 999999542 28185453 999999837 28177882 999140265 4970534 999141299 4968374 983974497 554669020 983976007 554667541 999999435 733960727 999999752 733953682 978118055 715888265 978118643 715884467 999182550 4811017 999184126 4809600 984070883 548464543 984072525 548463183 984018225 548449855 984019128 548447382 978686643 715776036 978689383 715775221 999998840 30002107 999999605 29999188 999998169 91262972 999999746 91261556 983764430 548514532 983766925 548513637 999999435 776866100 999999752 776859056 999979095 81163644 999981265 81162615 998845640 196256395 998846752 196254387 984049672 554476715 984051283 554475329 999999789 717655874 999999932 717640260 978011585 715749189 978013918 715748232 999980279 81545786 999982276 81544668 999999598 21039240 999999829 21029575 999985312 81531274 999988178 81530495 999999638 24755085 999999758 24736480 978093741 716006309 978095461 716005011 978114151 715920174 978115678 715918712 999993503 625040194 999995174 625038858 999999930 796256452 999999951 796150146 999999598 18305184 999999829 18295520 999144217 81583772 999145579 81582133 999999435 732804369 999999752 732797327 984097522 548702988 984099732 548701978 999999946 770525536 999999975 770448571 999999997 201436013 999999999 200320038 999999983 746524979 999999985 745409021 983765310 548546870 983765827 548542553 999999841 646204280 999999884 646152377 999999829 22915785 999999899 22883902 993098379 710178660 993099553 710176759 999993974 134199632 999998169 134199100 999977266 133239711 999978562 133237989 999999989 151336909 999999990 149105234 999998060 63116909 999999365 63115199 999998060 60399965 999999365 60398255 999999598 21983287 999999829 21973627 999998169 91010743 999999746 91009328 983978896 554597014 983980684 554595766 983772153 548536189 983773910 548534919 999999542 28357591 999999837 28350027 999989432 135199076 999990743 135197374 998754178 196278337 998756125 196277191 999999925 643661493 999999979 643620175 992140571 719860514 992141536 719858202 999999598 20487991 999999829 20478333 999999976 218558357 999999984 218279485 999999144 8894506 999999638 8889990 999999969 670710733 999999993 670617784 978577480 715782332 978579027 715780890 999999329 732059657 999999435 732038612 978104030 716015356 978106673 716014512 999999923 199605722 999999955 199536013 983836291 548509831 983838209 548508668 999999638 8355179 999999843 8344298 999975128 81535073 999976407 81533329 984094340 548533331 984095902 548531903 999999979 646964692 999999997 646840778 999999969 693187793 999999993 693094859 993351453 700616497 993352854 700614905 999999367 24939561 999999638 24931331 999985074 78072393 999986006 78070000 999998060 63577013 999999365 63575304 999998060 63219848 999999365 63218139 999981887 78126963 999983583 78125648 999999930 801099206 999999951 800993021 998826662 196262998 998830830 196262463 999994688 30148494 999995730 30146354 999998169 195950672 999999746 195949258 999998169 90836204 999999746 90834790 999993513 30020164 999995294 30018912 999999976 202465229 999999984 202186505 999999948 186308262 999999959 186105554 984096191 548501206 984097471 548499464 999994156 223342415 999994326 223329299 999150167 81568665 999151826 81567321 983978896 554595766 983980684 554594519 999999542 28045551 999999837 28037993 999996307 650712577 999997674 650710946 999999410 229154442 999999909 229149974 999999829 16346790 999999899 16314940 992135886 719861780 992137647 719860514 984089474 548714585 984090622 548712643 999981420 9599536 999982629 9597692 984095528 548700790 984097540 548699682 983976530 554645012 983977853 554643327 978688254 715805080 978688959 715801918 999999969 694510296 999999993 694417416 993348104 700637388 993350039 700636236 984101098 548957774 984102826 548956484 984078943 548464708 984081105 548463677 999999998 139134126 999999999 136905116 999998060 63545034 999999365 63543326 998752294 196278337 998753559 196276575 978683847 715773959 978685059 715772120 999999329 734932492 999999435 734911465 999999971 626241534 999999983 626055801 999999999 965336078 1000000000 963107390 999999955 206356493 999999976 206250365 999999598 23062904 999999829 23053256 999999341 7172576 999999588 7163553 984088761 548723090 984090418 548721745 998860079 196266035 998861365 196264302 999980582 80987479 999981595 80985279 999982851 133236580 999984452 133235188 999999816 24709028 999999966 24694172 999999923 218642602 999999955 218572966 993095249 710110993 993096662 710109416 999998292 624373611 999999476 624371729 978685616 715759852 978688070 715758944 999996307 651477748 999997674 651476118 977325538 715077030 977327168 715075663 993091857 710130896 993092573 710127784 999979708 80955378 999981112 80953791 999971889 81141137 999975185 81140461 993119022 710115227 993120293 710113474 999999930 800719748 999999951 800613650 999999994 120338773 999999995 118110814 999999789 718459583 999999932 718444003 999999542 29426249 999999837 29418697 999999989 755675302 999999990 753447525 978113077 715986620 978115774 715985794 999998060 59935972 999999365 59934265 999998060 59899316 999999365 59897609 999993969 10911439 999996354 10910505 999993455 20081041 999995338 20079858 999999435 720482109 999999752 720475082 977339914 715077731 977341144 715075920 978098014 716013982 978100088 716012908 977366706 715058737 977369296 715057877 999144135 4971202 999146171 4970108 999999710 4273744 999999947 4264346 999999884 654739445 999999925 654685123 999999991 72059299 999999992 69832136 998735777 196296488 998742033 196296132 999980583 135228702 999982229 135227349 999994407 625190744 999995805 625189151 999999286 5659037 999999455 5645860 999997287 4711227 999999286 4710113 999999841 641738457 999999884 641686671 999999925 648710871 999999979 648669635 999140265 4964667 999141807 4963223 993353325 700626579 993354881 700625148 978688258 715818682 978690297 715817590 999998068 5115487 999999286 5113659 984078807 548824858 984080476 548823524 999025473 4971632 999026271 4968842 999997129 196086666 999999045 196085504 983637827 548938255 983639806 548937130 999998060 59971698 999999365 59969992 999994156 223420691 999994326 223407595 999991845 18879384 999993205 18877747 999999435 771815524 999999752 771808501 999999598 16720134 999999829 16710497 999999925 651858884 999999979 651817660 999114742 81574688 999117056 81573726 999999837 27678017 999999983 27662770 999121314 81567175 999123092 81565923 999971889 78106678 999973600 78105377 979503599 713840846 979505083 713839346 999998292 624712474 999999476 624710594 999999943 18446455 999999956 18275236 999999999 115677892 1000000000 113452094 999174262 4832191 999175594 4830520 998920595 91964898 998921609 91962703 999999841 649931881 999999884 649880121 999999789 714157075 999999932 714141511 999999979 653102744 999999997 652979101 999999410 230608929 999999909 230604469 999996307 651183131 999997674 651181503 984071849 548724151 984072596 548721172 999999829 15702798 999999899 15671008 999011143 4943107 999013355 4942101 993094124 710114419 993095249 710112441 999998169 195236938 999999746 195235527 999998060 56113985 999999365 56112280 984008587 548462017 984010944 548461073 999994156 223072825 999994326 223059737 999999329 734820265 999999435 734799275 993352528 700633597 993355228 700632773 999999946 752873398 999999975 752796682 999999993 943801355 999999996 943059780 998868000 196257008 998870194 196255994 999999435 720825964 999999752 720818946 999995493 625267196 999996307 625264463 978010096 715741512 978011933 715740301 999981420 9615778 999982629 9613938 999999997 800944269 999999998 798719710 984004873 548465696 984006809 548464547 992139795 719842780 992141127 719841110 999149312 4969314 999149876 4965370 992110829 719746773 992111965 719744815 984091302 548838799 984092136 548836132 978027399 715849704 978029134 715848422 993354295 700642345 993355296 700640123 999999882 35903179 999999997 35883838 999999930 799438084 999999951 799332169 999999975 735351150 999999978 734609776 999996307 657778865 999997674 657777238 999996307 650938670 999997674 650937043 999996307 650916377 999997674 650914750 999996307 650370117 999997674 650368490 999999598 19927474 999999829 19917846 977979425 715740736 977980872 715739199 999999730 6577853 999999894 6564292 999984762 30795025 999986771 30793918 993369260 700592000 993370119 700589411 983979304 554647919 983981416 554646866 999999841 642428023 999999884 642376304 999998060 62720311 999999365 62718607 999999286 5349050 999999455 5335892 999991537 20128470 999995338 20127885 999998169 195823361 999999746 195821951 999998169 91551455 999999746 91550045 992106126 719848774 992108092 719847643 999994156 224875820 999994326 224862741 999991537 20298142 999992300 20295228 999981420 9705505 999982629 9703666 999999944 623496513 999999971 623414167 999999923 226230491 999999955 226161013 978016235 715828436 978017859 715827067 999991419 22394069 999991537 22375228 983653597 548957851 983654528 548955463 999999638 10285424 999999843 10274579 999999909 216765953 999999919 216543638 999999598 18126502 999999829 18116878 999994156 225174631 999994326 225161554 984082827 554475595 984084321 554474107 999999710 1695328 999999947 1685948 999999946 727326465 999999975 727249809 983974804 554659438 983976727 554658282 999999607 6481704 999999730 6463631 983654464 548903295 983656397 548902145 999155007 4966794 999156568 4965370 983758109 548531692 983758718 548528042 998863876 196278239 998864885 196276036 977335342 715059794 977337567 715058795 984073981 554472680 984076074 554471618 999996307 651193504 999997674 651191878 999999999 738656535 1000000000 736433808 992114452 719741630 992116034 719740225 999167406 4821046 999168749 4819391 978111066 716049504 978112579 716048035 984082795 548719935 984084480 548718616 999999435 732717420 999999752 732710409 999151399 81584314 999153478 81583245 999998060 64002488 999999365 64000785 999998060 60449293 999999365 60447590 999994156 225724693 999994326 225711620 999998292 624377884 999999476 624376007 978101881 716051184 978104191 716050222 999987692 80990846 999989268 80989436 999999314 25699749 999999605 25692113 999999410 227509783 999999909 227505330 999997546 24747473 999998927 24745864 978106673 716036596 978107942 716034845 999998169 195669039 999999746 195667630 999991537 18959588 999992924 18957986 984034764 548460850 984036668 548459683 993349943 700632472 993351705 700631211 999996987 10932213 999998336 10930566 984090168 548839858 984092266 548838799 984089028 548483939 984090402 548482322 984096603 548490427 984097580 548488153 993113024 710114768 993114857 710113556 999990808 15762357 999991419 15758721 999999435 719932434 999999752 719925426 999999975 738261224 999999978 737520721 999178270 4823838 999179283 4821645 999999607 4480323 999999730 4462262 999996307 656615908 999997674 656614283 999973299 80989515 999974942 80988163 999996503 30072742 999997937 30071193 998846637 196276404 998847220 196272594 999999946 740565697 999999975 740489104 999999979 651844095 999999997 651720699 983762484 548540673 983763896 548539100 984041474 548449968 984042941 548448454 999999144 8911772 999999638 8907276 998838801 196262074 998840073 196260328 999999435 773608675 999999752 773601669 999996518 29979169 999997900 29977562 999998840 30151253 999999605 30148350 998748781 196285901 998749842 196283808 999999717 13278399 999999822 13257250 984068195 554473740 984069312 554471752 992077215 719739205 992080600 719738549 999994156 221214016 999994326 221200954 999999329 731648108 999999435 731627160 999993032 625013937 999996307 625013259 999990808 16108782 999991419 16105148 999999638 9213947 999999843 9203116 999996060 78127568 999997284 78125754 998757322 196277355 998758760 196275811 993352982 700675474 993354250 700673723 999994156 224429029 999994326 224415969 999994353 16377307 999995338 16375053 999999988 218264446 999999989 216044337 999991537 20229922 999993024 20228429 999999837 29149140 999999983 29133934 984090418 548723803 984092091 548722476 984092541 548540159 984094237 548538850 999999946 775452401 999999975 775375848 984073803 548567959 984074887 548565911 999996307 656561942 999997674 656560318 999996307 651310945 999997674 651309321 999998292 624297088 999999476 624295213 999998060 60500667 999999365 60498966 999996186 11096265 999997811 11094899 977352041 715060086 977353715 715058760 983980448 554620045 983981416 554617752 999999882 33412968 999999997 33393667 999992384 1634