98280 5
caabacabeaabaedeaccbaddddbebcbaedddaedacebbbebdcadecaecbcbbeabacdecdbbddbccaeecdecacdebcbbbecbecadedceaadceebedbbccaaaccbeeddbbdcdceebdcaabeacbcdbdcdaeacebdadeaaebbceaebdabacdeeaacbdaeadcdeecbeecebbaccdadacddcdbadebedaaddecbcccdcaeedcecabbcaddeccbdceaabbddeebabbdedeaebdddccdabdbdeaaceceeebdaacbaedbedbabaedebabecdeeebdaaabecccedcdadcebebbaebbddaeadeacdcedaedcacdbaeedcaacbdbdebebabaacddbdddecceaaebcaacebdcdbaebeadaedcdabecddeacdccaaaabcbdecdebeedebaecccdcebadebaaabebebbebecaecebdadacddaaedeedeadeeccebeebbaadbceaaedebdbcdadebecdaeaecaeaecddbcaccddddabbbdabcaddedebdbbeabdbdccccbeabaeebbbadcebdaaaedbdcbbccacdaacccbdcbabeabcdcacaabcdbeabdacdcddcbedebabedbabdcbdbbbaeabeddaeddcdebeebdabccdbacbecdbbcadbeabddadeaedaeccebbcadcaaccbbbcebecadaaaebcebacecdabbdcbeabbbccdaeceaeeddbaabadaeadaedeceecbceacbeebdbbaecbeededadaaeedaeaeceaeabcaeebcdcacacccbbdcdeaabddedebbadebeedeeaddccbaeabaebabeadcceeadbeadeaeeccbbedceebbaecbbbddbcbdcceccdcdabdabcbeddbeabcebeaaeadecddbcebebdaceaccdeccbbeaacaeaaadadddceaddcbeedaaecdeceebedaeacaedaeecccdedcbeeeaaceceeaedeadaadedeeaeaebeacaeddeeebdaecdaeeacbcddebcccaacbaeddabceebbabdccaedcbbdaccdcaacdacdbadedededdabcadcebddbacdbdeadebecddeecbcdbeccaadcbcaddcccbeeeceeebaeebbaeaeaeebdeabdeacdddbddadaceaacdaceedddcdbadadaddbbdbbbceaedabadeedecacecbdebdadbdcebbdbaabeddcdedbdcbeacacbcbcaccebbdebcbadeadeedbdeeeeaeeeaeecebeebaeebbcebddeddccebeebecbeeabaedbbcbcaceaeadddbbcccdedeccbbdbbbeabedeccccababadecdcdbacedecddbebdaacaadeeabcbedacaedbedecbdababaacdedbbdbadacccbebdeedcbadccceccbdeabcebdeebcabedbdeadaaebebbeabcaadbbeaddccbbdedbdddebdcdaeaeccdceeecdbcdbcddcceedbbeaabdaaabeaadbeaeadddeadbebcbbeaeaeacceebdcccabceedacebcedaaaeceddeaabeaeeeaabccacddcdaeadbccbedadadaeddcbccbddecadaaccecddeeeaaabeaadecbccddbceacacaebbadbcbebbaabaaccdbeabcbecbaeccabacebeadeebebbdbbdcadcbdaaabdbedbbaecacdddaaddbeddbdaeebadabcabbdbcdcaabeedeecdecbcddedcdaecebabeceeaadebdedadbaabdcadbccbbecdaaabdeceacaeabcecccdaeaecbdadccabcabbdcdebbbbdaedccdcebbeadeacecddaaacaecebadedbeeecdaebebaedaeecaddacbbebdcdbeacbeacdacdebeedeceacdbddaabacddcadcabbcaceaceabaadeceadcbaadecaecdcdadeedebccdcdceddeeabdacaaabdabaccdaaedeceaeccbcbbadbebaaebadeadcbabddbececabeeabadebacabdbceecbbcedeadddcaaaceadcadeaacaaabdaeebeeedbedbcababaddcbadabdabdebaacebcabbcebabebebccbbbcbcebbdcbdccbaeadccacbaeaedcddecbcaecbeadddebdeeddeecaeaabedaeeccaebcecaeaededadabdaddbeabeaaaeeeacdeccddcdcbdeebbceaedeeccebdadadecdacadeabdddbdbbabcbeaecadddcdedccbccbcbdcddbeabaabbaacdecbcaabeaecdebaebeeacedeacaebaaabeacaeceadbdcedbaacedeaedbdbaadddaeecdbbdeaeaadcdedaddedadbbcaebceaaabdecbaedccacbeacedcabbaeceaeceaeaaadeaedbbcdeadebdaacbeededaaedcbcadebbaeeccbbbadbeedbeeebcbaedceeebcbdbbdccdabceebadcdebaebdbddebdaeccdbdbcdedcdcaeaeababeaebbabdbdcbeeaeaebcaeaccdeaabacbabcdcaddbaedbbeebbcebeddbdaebdacdeadaaecaacbdabdddaceedaeebbaeebccdadebedcdebebcaebaaabbbcbecabeecdddabebbaadbabbadbacdbcbedbabaedcbdeccaeccceecdbbbccbeddcdeaadbadcedccccaccdbeaeabbdccbbcdaacadeaadbccbcecacbddbbcbccddaadecdbedaaaecddbceececebeaddedbdcbbdbdacbbdbaacedcbdcaadcaeeadeaddbceedecedddeeaeecbabcbaceebcdbcedceddeceacccbecdddbbcddcdabedaabeeaecaedeababcbededbeddacaaeaccacbbcecddabdabeeeddaececdabaddebaddbddebabbdabadbcbeccedebcaadebcceaebebdbaddbddbcbceccabddbecdddbeecbedecdceebeedeceabaaadbeabecdbeecbcdbbecedbebbbbaadaebabcacdeabaeaebdadcabecbbdcbebcadadecbeadbdcebceaeaecbdcbacddacabeaeeabbaaaeacdacddddddeddbcbdbbdedbaeceebaacacbcccbcbaeaedbccbbdaeaaaecceeebeecdcabbdccbbbdcecdcadedebecbbaedabeecabebbbdedddebaaddeeaedcedcdbecdbbbebdccccacdaadabaddcbdebacbadbccabbbeacaaaeacacdabebeceadeadcceaaabeadedddbcaacbbcedaacdededcebcdbebbaabbadeeabeecaaecbacaaecdeccecebcbdededaadceceaebaaeabdcadabcaaacaeddddceadddaccbaccaedaacaebbcceabaeccaacccdaadbaacccbecdbdebbbbeaeabeeaddbdcaebcaabeedceaccdeedabbabbababaabbebdeeeaebeebdbaacbcaebcdbdcebbecbdbdaeacadddbebebcdebcbcddddacedcdddcaeaadcccabbdeaebcdcebaebaaebadebdbbaebbdbdccecabbbaceccddccecaecdcabbdbecddcdbbcdbadcbabadadeaaebeacaeccabcbebbcdecdaddebcbabaedabeadaeddcebcebbbdbbacabcddddbebdeaaeeeeabebbccdadadbccdddacecddabddaabeaaabbdecbdeccdbbdecedebceadcebdcaeeadaadccbdecdbcebedddccdecbedcebbbabadcbedecddaeeabaabadeaeeadeebcaeebacbcdcedbddaeecddaceedeeaebcbadadbaedbcddbaaaaabcacbbdaceeaedccdcbbabdaddbbbbceedacbacabbcbcacbaaecbcabcaeeddbdbeccabeeacdebccecdacadbdcadadcceaeccbeccbbcdccbbcabebacdedecbcdaeeddecccdacbdaadcbdabaecdededabaebebdddecadccddebdcbadbbbddcccdabdbdaccbdccedbbddeccccbceaabcddaaadbcadddabcbbdddaaeabcbabdbbaaedcaddeddbceacbbdcbbaaeceaecadaaebdbecdedeedbebebdeddaacaeaacaeddccdcbeedababebebddbdaeebadeaabaceebeddcacecbbacacdddebaadcedbbbddeaabdedeecbaddbbebdbbdcaacadedecadbcacddceabeaeddbaadbdeaeeddbddecedeccdaaedaaeccdebeeabdaeccccaacccdcdcdbceeeeadbdcedcebbabbbdecebecabebdbedccbbebaaaecebaadbccdeabeceedeaebcebedeebbdbaebeeeaeeccdddcebaebacabecaccadccecbccdaaddbeedaedbccecbdeabdbdbedcdeceacaabccaaedcbbadbdadcccaedaabcdabebddbbadcdedecdbccabbbbaabbeaeddeadedcedaaaecdeabcabeceadaacbcacaaecdcdbeddcdcdaddecaebbdddecaddeedecddbdcbcdbadbabcbabadcacbbecbdcccbdcaeecaadccbcbbeeeceecbdbcdedccaaecbccaabcccadcadccdbcabcdabbdddbbcabdeebddbbbecabdaababdaeaddaaeebbcadbcccdddddabedceaacbabedcedecddccdcdccebadaaeedcbabbcbeeaddcccaaacbcbdceeacccdbeecabedcdbdecbbcdaecebdebdddcddbcdbbeabadbaceacaddcbbbebccbcabdeaaebdaacaacdeadedebecdbdaaacebcbdcdddaaeedaedabcdcbacceeebbcedeaeebacacbbcebdbacebaaedebcabbaacaadeebddcdebbbeacdadeaadaecbaadecddbbcbdccbaaabeaadcbabcdcbbaadddedecbbabdaebbeeeeceebcecabacbabeaedabadbccecdaebddbccaeeabaeebbabcdebebdbdabbbecdccdeaaeedeaaaebcaabddcebbaadeeddcabdecbabbcbcddebebaadeebaeeecaebcdbaccabdaeedbbcaddbcacccdbcaabbeabdccbcbbeaedbbbbdedcbbeebeeeeeeeeddebaeaceaaadbeebebdaebcdbccebaebccdceeaacaaabeeccbebeeddcdbaddbddaddcdbeadeedceceddceeeccbadecbdaedcdadaabedaaccacecdadbdecbedeebbcdebbebadbbdeedacbebadbeeeeabebecbabeeeccadbdbcdabedebddcdeeacccedccaeadcaeaacacacdedebddbbbeadeeedabdabaeceaacdabddebeddadcdbecaaebadabdabddaaceadcaccbaeabeaadcecbdaacbbebbadbecbeadeaaeccebbcbbbaebdbdcbdccecedabededdaeaeacbdcebbebdcdadbbdeacecbccdbcbeceacdbadaadebedcedaacdbecdabccbdeccccbedbbedecccbaddcbdaddecccbdbeaaabaacacebeddaccdeceacdacceaeebbecddeacccabadcbdcaddebddbceddddacecdbdaadbdcdccedacaacebebbeccbdbcacadaebadadedecaeceeabbcbaaeeadcdddcccbbdcaacabcaedddeaebadbebcbecdedbddeaddcdacaaeaccabccccabacddabcebcebaddebabbaadcadaecbeddcedeaddbcabebddaaecbbadededcebabbdabedcaeaecebbbbecdabccddacdceaacddbcecebbdadcbddececadbadbcdceeeeebccdbcbdebdaabbdbddbeecedbcaebbdcaaadcbeababbdcebbcdbdedcceabadeeedcabdbedccadbebcbdcccacbcebcccbcbababcbcbbadebdbeaeaaadbadcebabbecccdedaebabaeaaeabdadacaeeeedbcddbbcabaabddeaddcacddcebcdcebabdeeeedecaabcdaedceabbaecadeecdcababeebdabbecbadbcbacdadddcaedaeadcdabddeedacddaebaabacbdbecdbedbadaedccbaeddaeacabadbedbeeccecaecbdbaeeeedddedeeeedbcacbedaadddddeebbdbecaadbedeeddacceaaabddcbcbcbbecadcdaadadcebbbadaaadededbbaeedabdbccdbbaeaaaeeaaabaccbcceaaaedcaeaacbcdadaeeabdccddeeecababecacabdcdcabcdedeeaddcbcbaaccedcbcbcddeaceaebbdeabdcdcbceaaebcceacecddabedcadcdddcccabdbeabcdbbdcdacadaccbcddcaecddcaceebeacceebaaadceddecddaaeaadeccdbaebeabbddbccccaeacdaebdccdddbeadcbbebabcdadaaccbcdcdedbabcaaceebebebecedbdbcdaaebdccdccecdbbeedcadddabccbbccbcaaacceedeaaadddeeebbebbbbcccddaccbeddbcabcebaaccbdeabdeaceecddeeecabcdbddcbdeddcaacbeeceaddcbdadcbedddccbdadedceceeaedbeddaaeddbcdcbccabacbeeebeeebbaaecddddbecddaaccaddbeecbbdbbdbadbabbebecdabdeedcdaecacacbdcbdbdbecdeeebacbceddddaaadaaddacaaebddbccebdeaacdcccccaccbabddeeabddaeeaaacbeaddcbbcbeddaecabdcaaedabecadcdaadbaabcdddecceccccceebccdeaecebacadcaecaccecbebdcbabcbdacacdcdebabaeebbdcceabbeeadbebadbcabeaccedadbcdbbeaddbabbaddcdbdcaddadddebebbbbebcdbeebcbcddaaceceadaecabaebabdcadababbeccebccaccbadcdabceadbbcdaebcabddddabcadddabeaaedbaddeacbacacbccaeeedeaaaedaeeebcbababeaeecdbdedebebacacbbacbcccabcaadaeaaedbbedadcedcaaddccdbcbbbbaedbabbddbeabcbaadaaaeacbbbaacbaeceaecbbaaebacaeeddbeabdeadaaeadbcaeebadaeaceabcaaaccdaddadbacdcadadaddddeaedceceeaedaadaecbbccabaeeaeadabdaddddaacabbdaaeccbedbaebabcbccbebdbcdeedccbbddaeaadedadbcbdeeaeeeaaadedebdddacbebbedbdbbcedabbbdaebeccecceabdadecdcacceceadbeeccaddbbcdcdebdabadddedeeabacbeddccadbcddcaebbecdadacbddabccedcdacebceaacedddaaadbdbcdabbbabdbaadcedddceabedadabdbbcebdcbadabecbaedbeaadeacaecbbcdcbceeeabcaadbbbcecdbceeaadcaaacdbdecbceaebcbbdaeaeecdabdbbdcdeaaeebeeedcececdecbadccdccecadadebcacdccaabdcdcbdaedceabdbbccecabdbcdaecbbdecddbeacaccecadcdeabebaeeedeedcebbaecbaadaeceeebbaeabcdedbebecebcbacbbdddbabecbbdceaeacecdceacdebaadadaedadcebeeaabdbabebeeebddbdadcbaacebbabaabdbecbeeaeaeebbebbacadbcccddeaaadabecaeeaccbeedadddcbcccbbbbddacceaaeaaddbecebcdedbaacebcecebccbcbaebeaadbbddbaccdccbbaacbbcdaadebcbceaaeeaccbeaebcbedaaacaeabbbadbbddcbaadacbaeddcdcddbbccdbacecbbabaeedaeabbedadbbccbdeeeebebbeabddbaadecabccdecaacccbeddaacebbbcadbddcbccdcdcbbcbdaeccdcdeaabbdddbaaabbcacaadaacbbcddcccaadaaebecababaceabaaedbcbeaebbcabdbadebabecceebceaceaccdcbdeaaedaaabaadcebbcddbdbddbbaadbdbbedaeddaddbeeaceeeabeaaedabeedeabebaacceecaecdbacbabbbcdcaabaaabaedcabbabcdacddaaabbcdcbdaaceeedbeadedbbbddbcccddcdecaabcacdecdaaedeacbadccadcdbedadabcaacecbcedbbccabbcecaeeedaaacaabcbdcdcaddcdaebdebaccaacebebadcbadcddaabdabbbeababedddbbccabeaaadabcceeaaaaaedcaadceebdaeaecedddadeaeebcebccbbceddddbbeadaaedbadeedeaacdbcddeeaeeebacabdabacababcdccebeeadceaaaedcbbdaeeecbecadcbabbdedaeacceaabcbdcdcdaecbdbacaaabcacbcddbcbabaabbbdaedaceebaabbbddeaeaeeadcaaccadedbeccdcecbcdccdeddceeaedbdcbbdadcccddcdedabeddeabbecdbccacbacdaedecbacddcacbabdbadccdcabdbcdabebbcadeccaaeceedededacbeceacacaaccadbcccbbcebddbeaaceecabaaadaecbbebeaccdbdcacaeacdaebcbbcbdaceeddeadddabdbaddedacbddceeedcbecaadebabdedcccbddcaeababaddbdbbabebbbaaecaadcceabaecdecebacbbbdebceebaeceddcbdbccebeaccccbbacbaadaadebdabbebaabaeeeabedaacddabaceeaddcadcdcbdbadaaabedacadecceacbcadbcaddeedeaeacbacedcbaebdbeaedcdacedebececeddcbddcdbdeeedbddddeacedacbeaaecabccdeacacbcaddeaadeeeebeabeebaadcbbacedeebaabeabeccbcbcddddbeacdaaabbbeabddabacbccebbebdcbbdabbdcabaddcdcaabcbdaedeacdbadadcdadaeeeabbaaadebbccedabbbeabcceeddabaabbdacbdcabcaddadbbdacabadcebcbcddbbddbbddcacdcaaacceceaacadabbbedabeadbeaaacecaabdddcbdbaadcccdabdcaadcadcdbbcdccbceabbdccccecdbadddeaceaeacdcccaacddcbcbbebbbddbabeaabdcddbedccaacdeaeaccabaaeeeceaaccbebacddccacaaebebecaadedbaedcddeebeeeaceaadedebbdbedbeddbeedcaecceddcbddceabccdecbaccdcaecadcbbebecdbcddeebcddcdebbccacbebdcdddeacabcccecabaebdacdbebecbaccaedeedcccddddedbcacdddebcaacdceacbbbacebaaecabedaebcbbcecdbcdaceebdcdddacccbbbededbcbaaeeedaddaccdeedbacbbeabeaabeedcbbecbaccdccbeccdebedbdacbdacbadeeaeccbbbaeaaeebbabbcceabbcdeddaadbaeaeaedcabecbcecdeadaecdccaadcbbdcedbbccccddacadbbceedaeeabdcaebbeaabdcbedabbabcccbbcddeaeaceeedbdddbedcbbdecadbaebccdadbcbdbaaeaebcceedeacacbcadccbddeebddceedceeaabdedbcdaaabddbcbbdcdebbebcbedeabcadaabdeceeccdbaaaaaaaacacadacdddadacacaebbdbabdccedabcedabebbcccccecbaaaeabebccddbcaedceaacdcdbacdeccddebcddbdcadcbbaeddaacbaaeeabcdceeeebeebedcddcaeacddcceccccaaedaaccdbeaeccabedbbeedaedecabcacebbddbbcaeadbcbaeebdecabaeeccceaeaddddcdbeddcbbbedabaaadaccecebedadacdddabdecccbeaeddaddbdeacdddceabaaaeaadaacceeaabddabccbddedbeeccadebceaddebacadcadbccebbdaddaecabbaecdcaadcaacdddadbdeeebdbcdeaabeebeeececbddbeebbcdbacbdccbcedabcbacacdeeaececceebcdbcbdecdcbdeabdededddbadeedabcbdaebedeacacacdededbccadeccadedabdcdceacbaaeecbaabbdcdcbbadbccbbeaaecdccbbabdeabecdbaccedadccbbebaceacbadeddabebebdbbbdbcbdeeacdadabeeccdabdaeeebceeedbabdccaadecaabeebedeaecdbeeaceaedbeddbadaaeeacdeeccbccbcdebeeceeaeadcbddaacecbcccacdaadeabdbdaaabcccaaecabdeacdddadaedbbaacceaadedebbaacdddddbeaebececaceedcaebabddbcaaceaadbbbedbbdcecaeebeaeabdbdbdbdcabddcacecddecebaabaebaedbecdcbdcecdbeebeecaabdcedddbbeebceeaaebeabadbeaaaabcadbdaddaabbbabeabaddaacceaedcbeacdedbaccbaccbdbcacabaacddadeddaebadadecedbbdbaabdadcbeabddaccceedcebbddccbcbddddbdeccccedbbbdccdacaacbecbaaedabcdeadbceebcbbeaedceaaccdddeebcddecdcccbeebacdcbdddddeecdbcadcedbcaaeeddaabcdcedbecacaacedbecebbaadadbcaaaeeadbddaddebcbbadeadaecbcceebebbadcdcdbdbddbabacbeadaedaebaecacddabbacdbecbaaeecdcbcaaedabdbbeeedcbeaeecbdabbcaababbbaacbdaeadcdeceadddaeccceedcaabebdeeeececddacdcecabbacaceeebdcebedccedbedecadccaaecbdbadebbbcdbabbcebebdeaabbedadcdadedbaeddceadbcecabbdeaccadbbcbcbacaceedaecaaccabeddacdddceeabeadddbbceeebabceacecbaceeeeaabcddddabcedadbcccecacacacedceeabbcecbbeaaccaabecddedcaddbaddbbaaadcedebaeadeeaebdeaccddcccbdabebebccbcaabecdebddbaeedcccebdeddeaecabccadbcdceddadbcdccbccbeeadbccecceecedadbeacbacaacccebdaddaacccdcebcbccddaecdaeaedbaeedcedccedaacabbeeccddbebceacbaaccceedeaecdeeaeaadeaceabdeedeebdddddacadeddaaacebdacdbbeeeedbeedcaebbeedccaabbabbeceadececcaaedaeadeccabbdecdacdbbcdddadaabbbdcbddeeadcabcadbdaeabdeececadeeedcebaaeeaceaadebbdedcedcabdddddcadadbacbcdcaebecadccacbcaaaedacacbeaacbebdbdbdebdbbcaacadbceabdcdaeababcadebcebbacebbbbebecdecbdadccabcddcecadcaddabacdebeaacbabdeebcdbcaeaeccbbcaceaddabbdabdbacabeacceedcecadcdbebeadbaadcdddababacadeceaeededbcbbeeebcdddedacebbccbcdabbdbbebedeccddaaabdabaeddedacbbebaeaededcaaaaeabddeeacceeedeabbdcacdcbeabddaddaceebccebdeadaccabdccbdeeaecddedcdacbcebcbdccabaeceeabbdabeeaacdaabacbcabccaddeaaebddabcadaadacaabacbaebdeeedcadabadbbebbebabbdcbbcbadededbbcbedbbcecebaaedecacbdbeeaaaceecaacceaeaebdbcdbaeabecddeeadedcabeddadccaaedcbccbaebacadaaceeeaddbddadccbdbbeecddbacadcddcabacbcdcccadcdeaedaecedebeacedbbabeadaeccabceaebcdddcdbccbebccecaecacebccabcebeaebddbebdbeaccbeecbddeedcaccaadabcadbecdaeaabdcdebbbebbaebddcccbaebaeddeaaceebcaaebbaeeadbeeeccaeeecabaeacddacdbedcedaaaacaebbcdcddddcadaaeaddbdecabeddccadadaebacbeaabcddbabbbbcadeceacbbeaebebaedeeceadcaeeddebeaebdaabcdbcecbbaeeaebaaeecadabbadadcccbacbeaaaadabcdadcaaaccdbcaabcaacadcaadbeeeedaabbeebcaecebddaebeeeebccdaaacebacadacdedacadbbebbbeddbebccccebdbecbabbcedcedbadddcaeccdebbbbaeeebaccbbcdeeaddbeceacbddbebeacaccaedbdecebabdecdbcecbeecbeceddeeababcaababbcacadebcecacbddabcdacbeedeacbdccedebebcdaaedebcdbdeedbbbaadcdcbebbabadeebabeaddabbcbcecadceededcebaedcdabdcbaaeeccbbdbbbbbdccbaecbbaebaeecbedcedaaedecaadadeabbebbdbcdcedbbbcaaadaaebbdbcbaebeebdcbcadaadaeadbbbbcbadbceddbcaebdcceddbeaaceebdaaaccaccaadaeeddacacbeebcabaecadeeecedbbbdbbbcceabeeadebbaadcbbecaabaccbbebececcbccbddeceeaecaacbabbecddebbdeadacbacbbabedacbbddcaebaabbeacdbdaabcccbddedcaaddaeaecbcbabcadbbeecabaeebeaeaaebcdccdccdadaebcebaedbbaeaaaabdacbcadadcedbacdbacbbbcdceedacbebdecbcbdbedddaadedcbccecdccdacccbcbbebebadaaaaacbcaebcbdacbbbaebdbdbcedebdbaabebecdedeebbabeaecdeadeadbaddbedeaceebadaeaebdaecabdbccbcaaceaacabdeadacbddbceeaaddaddabddcdeccaacccaebbedccdbbeaebabcbceddadacdacdadaadcbebaaeaabdcaaebeeceadddcbacbcedaebcbecdadbcaaaabeabdeedcacedcabaabadedabcebedaeacdcddccecacdaecdceeecdcbeebeededdddaebcbbbccecaedcaadbeedbceaecaaeddcdabdecceeeadcadebbddcbbdcdbebdcabdcedadbeccdbaecebdbbbbbceeeabccaeeedcbaeabaadbdaccacdbabbedaacdadbcbdcedbacadeeccbcbbdecccbeeedeceebadbaddadccebeedbcdebcbcacedababbddadaacedbcbbdaaeceaedbeacdcdbecebcbbabeddcceeecebdabdbdbdbbcbcbceacbeaabbabdaeebabecceaaccabaadceaaeebbceabceebcadaeecdeabaabbbcadcaaeecbcbcebbeeebeeaececaedbabaacaddccddaeeadceecbdacaccaececaceeaeadbbdcbecceabbeaaabbddaaddacaecdacabcebaeabdecadadedaeebdcedaacaebbcddaebeaceaacaabddeaebbdbeacbaadabddacdeeacbacbaebadcedcecebdbdacbebcabbbabacdcabeadbdabcccbdaedaecceacbeabeddcddedbaadedcecbcaceebcecccbccbcdddbabbeadbdacbadeedcacbbcbcadedabbaeccbccabbeadeccbcdbaeaabaaacaecedadbbeeabddecbabddcabdeeebcccdccadcdadadabbbabeebceebcdecadcaceeedcadddeecaceadcaaadaeeeeeeedabecdeadceeddeecbeeceadbeebbaecbcebdcebbbbdecdbcabaeeebdeceaccadaddebcaaceaacdaeabbbeeaeddbaadebcaccbcadaadbbacdddaecebacebededceadaeeccdaaadbbcbdbeaccccecbaddbecdcbdcdecddddeeabccdaedbaadebaeecebdbdbaacbedbeaaecdcccaaadbdaaeddbcaabcdaacbdcbdeddcbebbecbbdcdacabdcedeebbebbbeaaeccaccbedaecebbbddbecabeceeeaacadbeddebedabcceebedbabcadaebdecacacdabbbdabccdbcaccbaecaabbdbbceecdaeeaacceaebdecdeebceaadcebdcdedaacbceddeaebddaceeeeedaedaaccbadeddbcbaccbeebacccbabaabcddedddacccebecbcdcbaacdddbdcbaedcbbdaebbbaaceacbeeddabddabbacddbeacdeaeaedbdbeebceaabcdcaacbdbdbbcacbbddbbcccbabeaaddddcccacadeededdcbadcdadbdaeaeaaecabbaebbedbbddddaabebcaabaabbddecbcaaabcdcdcadccebdabceceaaaabcaaebedadcdacadcecaaaeeccddedbbbacabbdcaebdeedebcedbcaabeddbadebcdccdaedbeddcadeaadbaaceddabeaebcceabedebbdccabdcbadaabcaaedbaaacaccbcbdabdcbaedddcdbadcdedebbecacedbadcbdcaddebeeadeadbebbbcdadbddbddcdccccaedabadcaedbcceddaaccbadcccddbbacbbedebdbdedcbdcecedccabadeedabcebbaaaedecbbabeaeeaececcdadbcecaccbaaadadcbdddcebadbddcdbeadeedeceedebbddbabeedccabdbecebcecaecacddcedddcaebacacbdcdbacccbadacabebeacdcdebeeaeaddaadeaccddceaecceeabccbebdbeceaddedcaebceabbedcdaeedabadecbdeabdccbdcbeeccdddccbdacbdbbdeaedacaeedddccccdabeeddcbbacbceadeaacbcecdccaeedbcabdbabdedbbdebaeeebdedeacccaeeeebcecbeedddcdeabaccdbdedcabcbdcbbbcddbcbdacbdeacdcadeaeceaecadbbadcadaaaedecdbbeaecdaeaadbeacebcdbcebbdaeeeaeedebadbaabcbceceeabadaaedebdadeebbadcbcdadbecadabecddbbaceedcebeeeebcdcdbdaeaecdeaebadeaccddcbecceadbbdcccbcaaeeaebbcdeedadbebebcddbcccdcedbddddcdecbaeccdacbaeeddddcbeadbadbcbdbdaebccedcacdabaebcbbebaeecdbedecbabccbdcdecaceccdadeebcdaddaacdabeacaddaaeadaebdebebecdaaeaadebacbabdacabcddbcadddddeeddbccebbecccbdabdcdccbdbeabcdadaaeabbdcdbceeeeabdbbcaeaceebdbdecedceeaeadbbadaeaaaabddaedececedbdbdcdaabbbacdadbabcbcadadbeececbdddedddcdabcaebeebceacedbaecdcdebabebcaccaccbcadddaabbaaacecddeaeddceceaaeacbabaebcecbeebeadccabecbbabedacbcaedbbebaabdedceedcbcbeababadcbddaeeedeeeabeacdabdcacdaabbeadbbbeaebadbadcdebcaaaeeacbbdaeccbedacceebbdedbccddbbeddbeeddedadcacaababaddddcaddddabcabeecdbabdcbdeabecbeedecbaddedeaabbeccadecbcdbaabeccbabeadeabaacddaabaabddaaaceaeddbceabccedaeaebabaacbcabbbecbbeaeebebbcbadbaaddaeaabaecebaadcabcedaebcbcbceddaecedededbbcadedbedaaceeabddcdbabbccacdabededabedadcbdadaabbccbcbdaececbdcbcbcbcaacdbccdecdceccabbacccacaadbdbeacaddcccdebbbbceecbbbabaddeaaacedcaaabcaeaaacedcbddaedebcbccabcbaaacaedbadcaaebbadcdeecbbdbccaebcdaacdbadbcdcbbebcacbecceaedddeeabaceedacaddbbcccecebdcdccdebaaddaaceeeacdbdcedddeeebbbcaaabecccbdabeeeecbebbbcaddadcdebcecedebaccabdebccaadbabeceedbadcaaaabebadadbdadedcdbbbaceddeccdbdcbaddaabdeaebaaddecdbbaaeedeeeeceaacbbcdbcdabbebdadcacccbdcebdabebccaaceaaaeaddcbbeecaeddbacadbacdeeedddbeebadeacbaacadbccecbeeddebceeadcdccabccaabdcccacadabbccecabdabeeddbaebddcbecbcebdbecdacdaeaeadadaeededcebeeaadadedbcdcbdebdbeababbedcbcddbdaccceadecdeaceebeadbcedddbdddaeeecbbedecaedaaeaaddaacdeecebdcdecdaccdabdbdcdbbebbcceddaededbeacaccadebcaaaacdbbdcecdddaaeaaccedbbdbeeaedbaedbcdeebbcceedeccbeebdbdcaeeabadccacaddccdebccccbaddbdccdeddeddcedbcaaeabadcaeaebeaebcabcbccaddbececcbaddbdbdcbedbceaeaabbbddcddecdeccaebeeeacdacecadcbaeeaeeddabedecaceabdcadeceeeeebbdbdcebcbdbaebdcbececcdcbdacedebbeebbaccabebeaabdbbbbdbbbcaddcebcbaceeadddcbcbebbeadbdedeadaecdaeabaccaeeceacacecadccbcaeebacdeeadabdeaabcebddbaaaeeaddbccedacdddbabbbebebceecabdecbccccaabededaccabecaadacacaacecabbcebcbecdeeccebbcaebeebedddedebcbeeecccbceeacbbadecccbcadbbbcbaaedceebeedaedecdbcbcedbcbaebccaecccbbecabdceaaadbacdecadecaecddaaadddeccbcbcaaaaebacaddeeceabeebaceccedbadabeaaeaadaaacdeaabcecbdabccbeccdbaabeaecbaeaaaadbdeaacbdaaabacbeaebbaaedebddeccecabaccecbeecdabeeedebcdbdabecabddbcdeebaeccbadedccedddbcdecbdeabedcbeaeaaeecaecaacacdbcceaedeaceacdababdcdcccbeadbccbeacceededacbebeaabcbcecccaabbebebaecbebbbbaedcaaacedaaeddadadeeeccddeddcebacdaebeabbdeacbeedbaadabbbdebaeebaceeaebdceeedcacddeddbaddbbbedcdbcbcadbbedeaacaceacdaebaaacbacccdedddbcdbedeceaaaceacbaddbacdeaebebaeadeecaebeacadcbbeaaaddedbddcdacbeadeeecacdaabcdadebcbdababeaabddbccadacbeacacbbddadebababebeeaeddaecabcdcaedbbdecaccdabcededbcaceeedaecacebdbccdcbccdbbbadcbbcbaeccbaaecadebabdddeacdcdcedeedecbddaccbabebcdecedcecdbbabbddacacccbbaceedecaabceeccdcdcedbceaceddcbebebdedccebdbccbbdebdbadbeeabbabebdaeadaeddbccddbeaccaadddccdeacbbdaecaacecbbcbbbccdcddccaebaabededcedcbdcaababceabdaacedcebdadbabeaccdadccbdeaceabacaeaccdeaccdadbabbbaccdebbcbdccbeadcbceebbaccbdcbcccbeedcaaaaadacedeacaaddedaabebebdeebbabbedadaddcedeeeecbecaeedbbdbbdbeeaceddcaacadacbdbbadaecbcabccdbbbdedbdbcecedbeceaebabeaeecebaaccbeeedbcbbbdcadababedaadceccaabdbaddaabaedbcaddddcbeaceabcbdeecaaecebaaeedbedccdcacbdbdaabaeebaabadeacaabadadbeacecebbdaacacbeaabdedabdaebcebadbcaedaebcdbedcddbacddacddddcdbcdebbedcaeecaaacdceaacbdecaecbbcaaceeedaeaededdaddcabedaaeaecbeccaceaaddeeaacbcabdeecebeaabababeaebebbaebbddbbbdbdceaebadcddbccceadebdcdaadccdadcadbdcbacdebaedaddbddeaaeadeabbcebabacdbccebcabacadddabdeebdcadaabbdcabdaedebebbeedcadabdacaedeaebbbcacbbceecdaeaaebebbcaadabcdaeaabaccbddeebdadaacbdaabccadadbececedbebbbdcbaeadacbbeeeccdcbeedccbccccddbebbbaeccbdbcdadeadcadeabbceeccedbdadcaedaaecbaecbdaccabeeeaebcbeeddeeebcdceeabeecbbadacdbdeeebadebdbabedacdedecbeeecacdaecaeadddcaececeeaddedccbaabaedeabcaedcaedcebebabaebacaeddcbbaebbdeedcdededdddcedcdeabaecddcbadeaecdbcebdceadaeeaddbebaeacadaebecaeccaccbadcacaadcaebdbaceabaaeabeadbdccdeecccacadbcaebcadddeeaaaaacbbccaadbcabccbdaadaccdadcdbadedebdeaeeedcbbcaabaccbbbdbdadedbdddeedcadcaddbdaecaaacadcceddecacecbdbbdaaaccdbdeacedeaacaaeededaccdecabdadaccecebdaecabbbbdbebddbebbdbcdedcbcdbedbcaaaadaeacaeebdbaedaaccabebeeaecaaedecbeddcaeeacadeecaadeaacdcaaedbaaebdaeaacacceddedaeceabceccccaaaadecaacdabdebdebabeccdbababceabeddbcbcedcaedaecbcbbbceebcedddbaccddedcdadebadbddbaaeecbbcdddecaceeedeeaebcaabcaeaaccdedebdceeebdaeccddccbbedcaecadcdaaaadeaebdccddaccaabbbcdbdccebaeaecdbbedacedabcababeeabcabdcdabbabaabaaddeabdbedeabcbceebabeadbcbaeebddceeccebebddedaaadcecbbceadaedacbdeeddcaceeabcaacccebdececcdbccedcebdbbdcbdccbaaeadedbabbabdcbdccbacccebedacbcebaedeaaacaedcddaedbbedadcecdbccbdcccceebadededbddcdbbbecccdedbccdbbdbeabebdbeabdbebcdebdbdaaeceeaeedaaeeadbddddabdbdeeaaeceedacedeeecaabeddccddbececcedeaabdaacbeeaeaadaebdcadcdddeebaaaaaadbdddeccccedbabaccbbccedaeabecbbdcacbccabdebbabcccaddecacecbbcbadeadaadbccddddaaeedddcebaeccebcceaedabebacaebceadadcceecaceeaadbdebeebcebbcaaabdbeaeadcabdbadceabbbddaabbaedaaccabdadacbecbdbbecdaaacdcaaddcbcabbbaeccedcebbacedaeebdcccbadbcddbbcaaaccaadccebbbcebaeddcbedccedeacebaabcbaaaacbbecdeaeebbdbdeebcacbcdaaabbbabcbcdcaaeccdbbbddaeeebbacdabbedddedeecbbeebbcacbceabcbceedebdaddaddbabbcadacbacecdaaedeaeadacacacbecadebcdeceabdbabcaaccbbdeeeebdcdebdeccbeabeaaddeaeeaeeebaacdcbbacdaedabbdbdbabaeaebeccdccdeeabeaabbbbdbdcabebeeaddcbbbabeecbccbcbabeabdabcdabdeebccaebcdbdaccccbcbacbebacbaeabebacdadbcecbabaaecbabbbeecbaedbbeedeabebdaedcaaaceeecabaecacbceaeabbabcbaedecdbcaacedbbeaddddbadbcbcceddeeccabeaabbaeeabaabeacacdcbadcececeadeebcdbdacdebbcebcacaedbcabbdccbceacabccbceaecbdcebeddcaaccdaebbaaaeeebcccdbeeebccaadcecdecbccbecbdbbbacbbbaabeedcbbabeebaddbcdeddecaeecdaaebddceeaadaacedccccaabcadebbbacddedcbbaacdcebcedacabddddceeccbdbaceeeeaadabbdddbacaaeeeeebbadcaadcdecaacebacbcaabcbabcbbadcaceedbeccebbabeeaabeeedbcbeadedebccacdbadcbaccddaacabaaaccdccabaaadbeeaccdaebcbcaaeeebbcdeaeeddbbabbecbacbcadbcababdcdeadedcacacbcecdecbbabdceabbdcecaecdbacadeecaecddbaccaaadababcdbceeccbcddebbabcaeeaccbdeccbddcddebebaacaaccebbdaccbedadccbaeecdeecdaeeacdbebdedebcbbeacbaaabaedbaacccbbabeeeaacaddadbbabdeedcbcbcdaabbeededecbedbeccaceddacbddeeaaacaadbedabaeeddcedabdcdcdcedcbcadebeceddbecdcacdccaccceddacacbdccabddeeabaeedcceeeccadaaceebceadceeeebcdacbceddbadacebadcccebbcbbbeebddcbaaaaabbaadbbedecddebeaeadcdcddecdcdbebbbebbbebbabdbbabcdbcdabbeccaaeeeaeaacbdebbeabdebaedcbccebcbcacbcdcccddcecbeaeadacdbbadaabbebccbececbbeadbaebcdecccdbdabdbccbbabaeddccadaabbdccceaddeaaddaaeebcaabbeabecaddadebbeacbeaccaabbaeddcebebdeddbaceabadeaedebcedecebadbbbbbdabdcebdaebcecdaeaadbdccbcbeacbddbeeeeabcaecacdecabedaabddcebdebadbaaeaaeebccdcacbbcbcbadeebaebccbddacecacbeaeacecdeacbbdbdcebdacbbcbaadbaabdbcdcecbabcbbeaaaeddcabedcebcdcaccecdeddbcebbdbaaaaddaeabddcbccbecaddaddacbcdabbcabdacacbddebcbabbababcbcaacbabcbcdcbeeadddcbdceacaeddaaacdecbaddcbeceabbcbacaaedbddaeddeeabbbdadbabbcebbedadecccbcddcccdbdbcbabecbcccddcdaacaaaadddaeeecadcbecbeeddbdacbbeadaddcececeaddbddabaadbcaacebdbadedbdcaaddebeeecdaddeabedcdacdecdabeccdbdcebdadadebbacccececbdbedccaaeaabbbacaccbcadebdddaadcbedceaaeacbbdacbedddabecbcbcadeaaddadbeecaceedeaecbccddaaceedcebcaebbbcecbeddadceaeabbceaceeceddbcaebabdcdbbacceadbedcabebdaabdcecabcbcccedbecdcbdddcacaeacdaceeccdeabdbebcccbdbcccaeedbbbdaeccddcaeaedcedcbeabbbbdbdebbadbeedaaccbbdaeeebabcdeacdaecacececdebedcbcaaeecccdeaceddecebcdeccbcbdbacbadecbddeaedbabdccaaebbeaeeddcbadeccaddeaebbcdacddbdbcacaeaaecbabdbbbbeacbcadedbcdababbcaebdedaddadccbeebacecddbcdcbdeeaecadcebcabccbdeaaaadcbabdcdacdabbeeeeadaddbceadaaacaadbeeddeedabdeebcedcacdeccacbbbeeeddbcaebecaecbcaecaeabebacebaeedbcdcecddaacbbbbdacbdebadadeaabddcaeeadeeeedaeaeaeccdeeccdacbddacbcebdabedbcdebaebedbcebabbbbadbbcabaeacebbddccbbabbeaeabeeedacdbdaadebcccecbcaaaedbeddedccbeddacdbddaedeccabebbecacabaededcceddedbbaacbacdedbbebeeaedbbccbadcaecaeaeabeedaedbbceaecceeeceebbeddecdcecedebbadcaeccbdbbcedcdcecddacbcbbebebbcaeeeddadabccedaaaceedbebacecddabaebbbbdaaadedabcaccadcdaaeebcaaccaacdbcaeadeeaccbcdaaddcccadbbdcecabbdbeecaabbadddddccbbbdbaecedeacbeadceddeebbcdcdeccbaadaebbdbcacabbbcbeccccaccadebcebaeccebbbeecaaeabcbbadcccdbabbbccbbcedbbcebdaeeebebeeeaecbeebdaaaacbbdebdaacecdceaadcbabbdbedeabcacadbabaaaeaacaedbdeacdbeccbaceeadbabcadcddaaececbcaddacbecaccbcdbabdcdbdeabacecabdabadbadccdcdbaaddccdbeaacdeaacaacbebdeccbeaeacbaceecaaacabddaeceeadbacebedbababaecbacdcabdbcebcbeaecedecbdadabcbeaeadbbeddaddcaacccebdeedcbcbdaccceeeadebdbedccbcbdcccbadacbbdeddcedbdcdebcbdddccdedbbcbcdeebabddeedcacdecaecdeabaebcadebecebebdbcebceaaeeeeeecaededaaddebabbeabbeaadaaecbcdedadeceaaaabbdbaecdeddbdedeaeedaabacdcebedcceabdbdeeabccbecccdbbceeaececaaedcadeddeededeacebadddbecebaabeddbebedbbccacbbedeeedabeeabaedabceeeeedeccbedaadceecedecaaecebddaadaeaecacedcaceaebecbdeddcbbcbcedbaedcdbaccdcecedaccedabcebbaedabcbbeaeecdbabbcccbaecdcceccececdbccabbceaabbeceeeaededdcdeadbcacdbddebacbcbedcbeceddeabbdeaecadcedcdcabaedabeeeccbabdbaadeadbebcecccbecadaceccdabeadecaabeabdcbadcceaccbadcccaaaacedebedbebdbdcdadebdaecacebcdabaeaaeddaceabbabdddaacbacdeccdabaaaaeeccbcbcaddecaecedbbacccbcecebedcbaadbabeeddbdbcbcbeddabaeacbeeddcbdebdddbcaacbedeeacaecdbaadccdbaeccbceecdbaddadccbeeecadabecdaceadebcabceedbaadeebaeddbecddbdcdedbcbabeddceaedadbeedcbebbeedceecaeebccceaacdbeadbabedddbabccbdacbcdaaddaceadceecceabdbcdeaedcbaaabbbbcddeaddecaaabbbaedccaeeeecdbebbdbadbdcbaceddccbcceabbcaaeedcaccbceecedcadeaeaecccbdbaeccadbdabadadccbcaaaacdedbbaeadeedadbadcedabadeaebaecdbeedaedadcabdbebddecbedcbaceedaeadbabceaaebabbdbabaeaebdcebebeeaeeebbdadadcbbbbdaedcbdbdecbddeabbccaebddaadbaeedecedbadccbadaacbddadeaeecdcbcdcccecebedeaabeeaccbddaddccebcabddcbebcccbaecddcdaedeeeebbedeaceddbcdacabcbbecbedbccdadebcdebeebbecdbeeccbceacbbddacaaeaadaeddebdebecbdebccabbabdcdadbcbbeeaeedcbedcedcceacccddbecdeeabeaedbaeaabdbcbcbabeacdeaaceeaabcbeeedacadebbebaddedeececcdbedbccceacebbceeddeadcaeaadddcddeecddcbdceabbedecbbcbdebcbdaaeebdbcccbdddbeecccccbdaaedeeeccadcdabeaeecbcdacbeeecdeedcccbaadceaeeccacbcdebbaaeeaebeeeeccacebbcdebedaeeacccaccdadeaeeacdddbcacddeebecacdceeaaaeaeebceacbdeabcdcccccabdedeeabbaddeedceeabbaecacebcbededdabdbacbddebcacdbeeccaddccbcabbaeeebbbeedeaeacaceddebcdeccabeccdecdbbccaeabbdadbacdeebbdedecaeeaacaeedeabcddcdaabeedaeeeecacbecebedbccbaeecadcacaedbbbdebabddebcdeacdcacbdbaeabaeabeeeceebbeebedddbcadceadedbbacdbeccbcbcddeadabeededadbdecebccbaabcbcedbcbabccacdcccdbcaeebedeaadcdbbaedcccaacbdbdbeabaecacbdeedceadcccabbccadccbabdbdaabdbddedecbeeeabcbaccddecabcbcaabcacbcdaabcaaceedbbddcbadbeecbdaceddbbcbdbaedacacceabcdccebaabdccdeaeeebdddbabcbedebcadacabddaecebaeacecbeecacecbdbbbcaaeebbbcacdaceeddccdecaebceeaeebdebdaeeedadedaaebaebababcddbabaddddabadbcdbeacceeacaebddbaeeaadbcdbbdccddeaeeebdebcdbcdadaabdcbbbbdabcecabcddaeacbeaebbdcacdcacdcdddbddcebcbebedbbcdbbebcdadccebdcebbbababcbaeaaceeccdacaabcdacbacddddaadebabceaceeedbaadacbdcbbaeaabeccacbedacadadeccacbdeeebccaaeccdeebdaadbebeabacdddcbcdcaabdaecacaecadbbecedeceacbccbdebcaababaeeaccbddcddedeccbcaceedacabccccbaddccdaebbbaaacaaacbccacbbeceedbcaabddacedaddecdbbadbacbdddabeaaabbaaadaececbccceaadccbedeabeeabeaacecdbdecabcaaaabbccadbaabcdbcaeaabcecdacdedddaeebebaaedeaaabdceadacddaeddbbedcaaccbdcaebcddadeedaecaaeacbbabaebeebaeedaeabcceacecbeaddecccdccababbedaccdbebedebacccdaaccdeaddabbdeabebddbdccabaeeeccaadcddeaddacdcddaecaadbaabeddcaddbaecaedcdacbbcebaeaaeedcdabaaeadbdadcbaacebabacdaccbebbdaacdceeaaaecceabdbacbbbdbbcbccecdcadecaceaecabdcebdbecbabbbcbcbcbdebcdeaeaedcebbcabcebbbbdccbaeeabbabccddcaacbababcaeedceddaedecbabccacaecbebbdbabdeedcaceadeadceeaedeabbdbaceccedcbaddeeaaedbecdcdedeccacbacbbaedadebadeeecbedcbebcbeeaddcecddccbacbebaaecdddceddcbdcdecbeabdceeceeeabadadcbdbeaeabebbbecbacdbebaeedbabdeeebbcbdeababaacbbbbbbdabbcaaacdeecdccecccbecebcecbcadabdcdddbdaadaaeccebeacbbcacddaabdabdaebdbaccbdddcbadacbbeceabbbcadedcbaadaddccddbddbbdedaedbabdabbbceceeacccddcddecdcecaddbaececeeabbaeceeacecccebbcdbbbcedddeebbccbccdeaecbccaadaedeaacdeaadcbcbcdeaaaadbacaecbaecdbbacaaadedacccdcbbaedebcbdbbcebbabbaceeceaacabddaacccbabdeaceeaaecadacaacabcbeadbcbbdcaabeadaeeddadbebcddeeaedbeabacdadcecaebebcbbcbbbdbcdbcddecbceabaadbcdeaceccbbaaecbebbbacedacdedaecbceabdeaccdbcecbadeebadcecbebeebbadceecddddebaeedaebdeeeeedccdcceebdcbdeeacaddbdbbaeccaebcbedbdbadeaceacedbcecaddeeccdebddbccaaaebceeecdebdecbedaabadaedebceedbbcdbdcedbbcbedecdacbcacedacccbbcdadacdccbaeeacdddedadbbcbcbcdbaaebcdddaabeeceabdeddddedecaaddbadbacddceecddbbdceaeeccaaeeccdeacbdeabbabeebcbabacabbdabeaedcbbdbbaaeedaaabcdecdcddbceadedbddeacdbecbdcbabdeabecacabacbebadbeaaddaaacabccecbbdeeedeccdaecadedcdbcceebedecdebdbdeaaeabacceecdcaedaccccabadddcbbeecbdeeebdedecabaecbddeeaccebbadebebbcacaccbeccdaaaaeccbdeaceabecddeaecbdcdcebbaaeacdacbbeecceacddceddaacddebbbceabdeeadaddacbdeaeeecddbbbcbebabbddcedbedadcaeabbbbdadecbeccdddbababeaadbaabcaeecaeececcdedcaebbceeebaccbeeadecebdbbeadcaecbcccabdcbdeebabaeddebbeccbddaacaedeadcaacabaabecdccaedbccdbccdaedbbddcacccdccdbaebbddcbdeaaceaebddaaaedebcebdedebbbbedcdaeebcdebddeadddedddeaaceaddbadaedadddababbbabccbdaeecebcdaacbeaeaebebccaebdcbdaebcbaaaacbedeeddedbdbaeedeabeaccabbaaacceabeccdcecacecbbbbabccdcbaeedbaedccddbbebeebdcebaeacdbdbecaeaeababadaeeeaaeabbaeacbebededbdedccaacabddedecabecaadcecdcdeaaabadaacedbbeddbccabbcdbdaeacaceaaadceadebdbcbecbdadaedaecbaceacaecabbddbeceddbeedbdcddbddaebecdcdbbedeccecdabaaeddadbeadcceecbeddabddddceacbceeecbbdeadceedcabbcdadcacbadeebdbccabcbaedbbebaaebaeadeceebbeedccdbbdaebcacdbdbeadebddaccbbdaeecbbdeeedeeedcbaececddbaacbbecddbbecbacdcaaeeabaeebedadacceecdbbeeaaddcaadcbeeaddbdcddcbdebbbcdbeeddeceeecacecbdccacbceecbddbeeedcbcdebddbbcedbbadbabdcabbdbaacbeeaadbcbdeaecadbdaedaaaadeeebaadeecabacdcebacbebaadedaebaaacedecbccacaabbbacdbacebdaedbeacbaeddbcbdceeacbbbbaccebdbbaeadbcadedebebaedadbaececccdecebcbedbececbdedbbdccebbcbeebdbccdbcddaedbbbdadccbcaecaeeccdcbebeedbaeacceeecbecccecaccccbceacaecebcbedecbecbdbdcceddebddaabdddbaccabddaeeeeebdeeeabbcccedbcdecaadbddbaebbdaeddecdbbbadaaceedbdabdacdbaecdedecebaabdbdeebdbebcddcdebebacebbdaeddaccaabdaeceaadecedcbeedecceccddcaecacceceeeabcdabceaebeaabecaaaddceceacbababccedbcddcadcaadbeedcbdccdbccbebebcdcaeaadbecdadccbacadccaacbecddbebbcdaeecabeeaccedcdedeecbabebddaebebecbbdccbadcdbeadbedaebdcebacbaceecbebeebabdaceabecbdabcacaccaedcbdcbaccdbabdaddadacebdababbbceceeabcbbdbedcebebeeaadbdbcecabbdbbbaacdddadaebbcecbdcbadaeebdabddacbadbcadddbbdacdcedcdebcdccdbdedaeacebdcecbdbacaaedeaadbddaabdddeababdedacababaceaccabcceeecaaaedcaebdecceccacaeaaccedabdbeddbeeabaacaadbccbdbecddeddabdbbccaccaadbbacccbccadaceaaeddaadabedadbaceeacecabddddcddecdcbeeedaacadadadbdbdeeaabdccbdebabbbcddadcbecbeedcaacddbdadbcacdbdebeadecdabebebdacadcaddcceeebcecdaddecaaaebcdccadaddddebdcaeacaeaccacecadcdcdeaaeedebdebabebccbbbabceacceaccabddcbacceddcdddebcbddebeaaaedbdbdbccbbdedcbaecdbcceeaeaeecdebcabdbbbeeebcbaeccdacbacaaedbaeddccbdecabceebbaecdddeceededbbddccdcbbeaaaabdacdcedcdcbdcbeabeccdbdbcddacccbdbdebdcecbecaedebaebededccbbecaeabaddaaccdcdaabebcedabcbbcbadcebaadcbbbabeeaeeaeeaddcaadcbdcdeebedaebccaaecacabbebdecdbababdcaedbbedbdeeaccadabddebccedcaecbabcbecaaaeccaaeadaabcaaacedcdaaaddbeddceaabdeeceeccedeecacceaaabbcbebddceabccdaaeeacaeececbecabcbcddaaacadcaacbddbccabcdcaaeceedcbbcbcbdeaacddbadccdedadcdcabdbbcbdbeaebdbcdabeabbcededeeddbdcdecadaedddbedccacbacbbbbbecdddeaeaaebbeededaadeddadbcbbabaaaeeaeadaeddacdbddcadebcaaecbdccbcaaddabcdebdcaadecaedcbabddebddcccadcbbbcebaedcccccadeadccbdddcdadebddacbabbecaeeeeceabbbbcbaacaecedeceabbecdcbeedadbaabecdbdcbbadadabbdbdbacbeebecdbddedeaedbaacecdddabbcdacdcdaddebabdecabeaadcbceabadacebadbedcaadcbcbabeabccdcebeedeaeeecbeadcaebaddcbaccbbabadcabecebdbecaaddbaacabbdabaadecaebaeeecdececcaeaddddaecdbcebacddbdbbccceccdadabedabaddceecbddbdeebdecaddabacaccceabdcaacbbabbbeaeaabcbaaeddbbddddebeedbbbabcbebaeedeaeebdcbbdccbdabbedbeadaaecaecdceddadecdbcbbcebaecdddadadbdcadcbddcbaabacaacedccbacbacbecbdacceedbcdaaedaeacaddbbceebebcadaacddcebaddaadecdaabaecaeeaceebabdebbbaeabcdbcdeadaceedbceacabdccdedaaeccaebdabeceacdaabedcccdabacdecbcccbacbacdebebbaebadebeabcceeedccbadbeadeadcdeccccabddabedaeddceeeccaccdbcdcaaedcadecddcaaaacabbedabebddedacdeccbcbdbabeaeedeaeeccaeadcdbebbadabcbbcaeceeceedacdbabbaedacadbcabdbadabadecddbdccbaebeebbcaeceacecbebdcdbecbaeeecedbecdebcbeadbbdcaabbcbbadadedadecddacebaebeadbbcddaeeaaaacabaccacaedddeabeeeadbaeebbedbddebdbbbaacbbcecbbeaccaeaeeeeacdcbedbaebbceeaadbbcbdeecaedcbbeacbadeadabcaeaadaaceadcacceadebaedaccdeedcedcccadcdbeecbbedddbbbebcdaacddccbdbdceaeeaaeeccddaeeeebbaddcdbdbaabceeaaacbbecabedbbbdaadcaaeeadbbdadeaacaadecdaabbcaedbeeeadeebddeddddcedbaeaeccabacedebcaeabccecddabdcaeaeeaeadebdecbadbeeacccbccecabbbdabbdebcbceccdbdcecccbdabebccbeecbededadbdcbacbdbebbdbecbdaddccecaedbadeaebadadbcacbeeaeacecaeaccaeaedcadaeddacbabccbbcccebdadeceadddbddbdedbecddeabedbbcbcebadaaddaaaebeacaeaadeacccdaddcaaeabaceaeddeaeccaecaabbacbceebacbacdbeeddedbdeceedacaececbdedbbbbebaedabbcbbbbcceebbeeaaceebceccbadddabbadccbdcabcaacebedbdbbbcbcbcaaabaacdaeebdcabecdeadbebbccdebeadcbababeabebdbddcaeccbaaacbedbedabebccaabcecdcacbbcebbdddbedcdeecbeceaeedbadccaddcdaddcbdeacacdeeeabbedaebabaacdbbbdaeeddcbcaadabbccadeebbdbbcaaabdaeeddbdaddebcbbbebedaadacedadaedbdceadbcadeaeeccbcdbacddbacacdabddbcbaaceebcbaddcaaccdaccceebccebbaaabdceccbbeddeeddaeaaaededaadbadddbcbcccaacabddbcbecebcdaeacdeaadedbbacaccbccebacaeeadddddbeddbcdbebeaebccdacedaadeaeecabbbebceedccbeeeacdbbeaebbecacacdeddbecabacdbcecbcbdbdaedbdebdeedababdcbebabeacbeabddbccddaacdeecbdbdbabbcbdcabcdadccbbbcddcbabeccdbeccadcaacaaacdbbacdeecddeedebeccacdbdccebaaaacabaccececddeccaddabdcdedcdbebaebaebebdceeaadababbcdedcbcbabadedeeadebabaecddadedcbceebaeddbedabbedbddaaaaacbeeacbbbdaaccbebdadabddccadaabcdeceaceadbecdddadebbdccdbacbbbaabaaaabecccbeccececbaddeecaacaeaacacaddaeebecbcedebaeebacbddcdddebcdeaaecbabbdcdedeabbaeaaacdbdcdecdccacedeebeeeeaacdadbbdeadeacebccdebdaebeebcabcbccecddcbbeebeabdedaadcccbadeccaaddbddecaaaceabeecdabaeeabaaacbaadeabccaddbdecddbbdacbdeadbecbbeccdaadcdaddcadccaeaeceebcaeabdeedecbcebdddabceaeaceedaddcbdcbeeaeeedbaebaaabadcedecebbdcacceedeeaaedacbaabeddeecaeacbebedcadaedcadbabbeddceecbdacecbdcdcbbaacdaceeaebeaaadacbcbdacdaaceddebbcccdbcceaddbbadaeebedebedaacaedddcbcdbecdcabdccdbcecdeeedddbabeeeaaedaadeebddbdddbbcadddeccebcbeabdaadbbddecaeaaecbeddddaeaebccbadacabacacbacdcbeceddcebbdbeaecacacbedddecaaccdbdceeccbdbdabcebeececaacccdbeeddcdebbadbdadadddedcdeedcebcacadccdabeedbbedeaaececabceeabadedcdbdaeadabecaecbbbdecacababcdeeececeadcabecbebcdabaddbcddbdaebccbcbcabbbdbacadceeaecacebdedacabbcccaebadddbeedcdccbebbcdcbbaabceadeabaedcdeabaaaebbaeebeedcdcdedacbddcbdaedebacaaaeacbcbddccabbdceeacabcbaeaedaeecdcecedabddedcbddbedaaddbbeaedbbcdebedcbedaedbbeddadcebcacdccbbbeddabbcbeccaeedbdadcacedaaaeeceeddceacaebaecbadddcabbcaedbbedbbcebacaedaaccaeadcadaeedcdebadbecddbbbdcbbdaebbbaedbccadabdcbeededdbededeaaedaebddebcbbceacbecceeadaabaddedcebbebbdaeddbdcdabdddaecdeaaccaaccedccddbbaabdbdeecbaebaedaecdeeedadcceabbadeacadaaebaceddaecbbdcbceadccdbccbedeeccaccbbbeebbabeeeebdaedddeaddbdaeadeacdbcacddbeaeadeacbcabdbeaeceddbaceaacaebcdcdbeeabacccdddceccdbddaabcadccbeccaaeecabaaabbbceacabaedebcbcdaedbdbcabddbddcdcbdcbacccadbcacacddeeaaadbaccedaddcbbaeeacaeeececbcbacaebdbaacdcbeebdceeacbbbdbbaeccaedeaccabeeecadaeccccdbbdcbceeddebdadacddcdadccedebbedebbacebccdedadbaaeecdecdddcaddddecdbcebacbadbceececabcbaadcebdbeaabbdedcbecbbbeebadaaabbddedeebbabaaedbcadebadcdecbceeddbccbcdbdeebaddedcaaadbcceebbdcebcdceeccbcaccadbdbeabbeccbdbeacdcbecabbbdebaceaaceacaabdeaecbdceacbaeeabbaabcebedeccdaadaeaabbcededeaeadeaddaeacaaabedebbcaaeebccbeceeeaaddebdccdbcdeccbbceaebbdaaddceebeeaacebccdccbecabaadaababdcddecdaabeecaeabacbadaeacabacdedddcceaaaecadababeabddabceceedeaccdbabcdbaeadbadbadadabbadeaadceabeedaacedccdbbeebbebaabcbebbcccdbeacecebeabccbdccdccccdcabcdceecdcbbebeebddccedbcecdcaedebbdaddbedadaeedceebdeeadeccdaccedddeadadaecbbecccaaacdbdcdadcdbedbadcdaeadbdccbdaebaddaccedadeacccdbdaaadcbbcdaebbdbbbeebabbbbcaddcbadcbbdcaccbaaabedbdbbbeaccabbeabbbabeadabbaddbcacdeccecbedabdebeedcdabeaebcdaeebeceebcdcccaaaecbbcedaebaacbdddbbacecbeeabeccbbcbdaecacbbbbcaeabbdebbcbbacebdabdacaedddebdcbeadaabddbaedacdedbcdbcddceedcceacdadaebadbcaecdbccaeeadbbccccbebeadeadddebeedeaabdddecdedbddddddddacbccbdebccdcbaabdadadccccbaeceadebabcbebeacdecdecccccbedabeadaebabcbcbecdccbeeabbebedecddceacbcabdabaeebabccdacbcadddddababcbccadedcebdbaaaeedbbcbbdecccbaacdccebcecdaabcabbcdddaedcebbacabacaebdecaecbdcecacbbdaeeabcaaadacdaabbdcaadcbaaadecbddccdbccddbaadcdeddddeadededeecabaedbbecdcbcadbbcddddacdbbbadcccecaecaccdceeddbaacbaeddedcbeedbebabebccddaaccabbcecedbbeddddddcaeccceebdeaacdddeaacebbceaabbceddbddbaeaebebbedbdaeddaddbddceeaecbdcbdcbccdabececaabddbeccdeaabebeabecebaecaebedbbdaeaddbabacecaadeeacadeeecadbaecbabdbacddacbcaaebdabeddcaacecdccbedbeacabeaaaadecebddbabdaebcbceaebdaebedeedabebcaeebbeecabdbeeaecceecdceadddebbedeaaceebeccededcbdbabbddcdddbbbddbcdbcbedaddcdebebdebeeabaeaaeeccaecacadcdadbcedbbbabecabdebcdabbcddababbadbeedddeebedeeebaeccececedebdeeaddbaddbaeaadeedadbdcbbdcdbdabeebbcccdeaadeaaadcacacbbcaaddaeebeebeadeedebddbdcedeaeeeadaaeceabeabccbbdecdcbddecbcaeaeaccebabaeddddaceddedcacddeacdccbdcbacbaacabbaacbabdaacabcbaaeecdceaabddcdcecddacbecdcebecbbcddbcbabdbaadecacdeacaeecabeceeaaceeaceceedbcddedabacedaeddcbdcaacabaddeecdaacbacadeaabbdabadcaaadebabaadbdcdbacdbbbdbbcdaaeadbdaccabbbadeeebbeaeecebcaddadddeebedadbcaddbbcdabbceaebadcbcaedacebbcbcbaacbeaabddbeacacbdaaadaecbcedbccaecdaebeabccaecdecbedcbaeecacaacbaeeabcaeaceeeceedacbbacdedddddcbaeeaeacedbbaaeccebdcdddabdadbbcbadbbaacdbebdbbadbedcdebdcdebacccccdbdaebbebbbdbccedbacbeceebaeaedbdaedceabaabcebbcaadeeeddebbdecbeaedbbeecdcacacbccdabbebbdbbaeeeadddabdbdeebeeabadccadeabeaabdccbbcacabeaccedbaddbabbdeeaecbeabdeebbaeabcdbecdcbdbeddaadabdbbdabdedadebaadaeecacabdaaadaeaaeabdaceeaaacabedbebaacdaadbadbbccbcdccaeaeaacedeebdbededacdeadecaeddebdadbadcdededdccadcedddbaaaddbcaabcceadcdcbbabdcbeddbaaaecdbedebccadeccceccaacaeacdaeeaadcdcbdbecaaebeccbaaceddddddebecebdedcdbabcdbecbdbdbeadbecccaabedecdcaeedecbdcedbeeaccadbeadbcebedecbcddaebaceddbcecabddaadcacddaeceebbcacabddaadccbbeadcccdadbcddaebdbccdeedcbdbeecaaabdaabaeeaadabaeacdaaedeccadcbaedecbbeeebcdeacbeacaaedaedceceaeecadcbccbbcbeddaaaebadddeeaccbcebaceeedecebbdbddaaceeaceeaaebdadacccbceebeebbacaccdcbabadcacdaacebdbcbdcaeadadaeaeaabaccaebbaccdcbdeccaadeabdddabababcdbadbeaadeadaedeaacecaeaddadeacccdbaadccdabbbaecbecbdadcccecdedcddebaadedbcccbdecedcebbaceeedaaaaddcaccabdcbedeaabbbacbedbaededebebebacdeeaeedddcbabbacaedddbeebbcaddeddebbbeeaedadccabbdbeeaacbeebccedacddacccadcbadbdedcddeaadcccbabcbdaedbadcddbcbeeadbaabdaeabdcbcbeacddbbdaaeeeadcadaeccabdbccadaeaacbcceeadddedabdcccaacabdbdbdadcbdaeebdaedadedeeecdebbbbdcdbbabcaccbedbbbadcbddcceddeaddbdbacbcbbbbddeceabdbeccabebabeaaaabdddbaedcbadbbeecbbbdccccaacdbedeadddcbbeaaeaeaeaaddeaceccceecaabcaaccebedbaaedbdddcaccacaeaebcccdcbdbaabeddebedddaedddeebccbbcbdebedeedccbebcacddbebdcacbdeaaaaedaaecaabddceedcbcccaaddbcdeceebcbabbdeceeacbdccaaaccbbbbdceccedcbacadbbecdacaccedacdedcbbaeeeceebeeeccbdaeecadddddeabddcdcecadccabaecebaacaaeabbdebdaeecaadcccbcbcabcdedcaadebdacbbbdcdbbeedeadddebdcdecaccddebcceaebacacebcacdcebcdaedcaccaadebaeccceebdbeceaaacecdaccaccdacbbdedbbedcdabaaacacaaadcbdccaabbdaaaaacbeaeaeddcecbddaaaeeaedbcbbdacdccdceeadecebedbdebcabdbddeddbdbdbbbedcccbccdaebebbdbbdecceddeaebcdaebcdeedeecdeaedccecedaadbcaeccebbcbcbaeaebdaadeeebcacadaadcbdccdbdecabeaaadecbcecdacaebbecedceedacacdaebdbcabacaedcebcdddeedaaadbbbadccbdcdaeaedacbcaedccabbbaddbaadedcbccdbedeabddcedbeaccabeacdacdddcabaddedddedcdecbdbecbcedeededbccadeaadeccbeccbebdcbecbbcaaadcacadccceedeeaddbaeaaedaccacebbaabacbedaddedaddbdbddabeaccdacbaadabecdbcebbcbdbaaecedceeddcdcdbcacccbabcceabebdeadaaaddcbebccedeeebaddbecaccbddbeddabaccbeccbedbdedbdaacaaeecdedaaeccecbeeecabdbacdaceeceeeebebeadbebdddcdaeaadcdbbaececabbccccabcdcaeaeadbebdccdcdcbadacdcbaeedecaaccdaabdbedbeaabebbdccbeaebebdacadadeecaedeaaadbdecacdbeddbeadeacadebedaccedbdbadcedeeedcecebdcbecbbcaaccaabdedbdeebeadadecededbbcaececeacbbdcabbcedeebdaccaaeeedddcabcdbbbdabdedbeabdccddbbaaaddbdbcbddeeaecbaebdcbddbacadbacdbbddbeddeebabcbecbaebdeddbbdbacebdcaebadaebccbdbebceabbebadeabaeeeaabcbecbcbcececcedbdaabeceaeadeabeacecbeaccccbaaecdedcccaeaaadddcbedddeabebdddccacedcaccbdbebdbddaeacdadaceddacedebcdceebbbcaeddebacecebcacdbebadbaedaddaeaacaadccebaeaadaaebdeeadecbacaebeaeaabaaccaaeaceadbedaabdcdecdeceedeebdcebabccdeadbcbebcaadebeeebbbbcaeeacbaaedaebcbcceabdebeaeadbbeeceaebbdeadcdedeabaeddcabbcedeedceeaaecabbbeebabddbdbdceedacdbabacdeadeeeddeecccccacbbccdeeabeaeaceeecaedecddeaadddddaaeebbaaccbcabeceddcccadabcadbabbbbebadaecacebedcaecdceccdcdeeaaebeecbeebdcdeddecacceeaeacccbeadcabeadcdbbaabdacaecdabbbbaddcecdddbabeeadddeaecaddbecdddaabdbbebcddcabedddcdbaebedbcaacbedbaebeaccabddcacdebaacbeceacdbdeebaeadaeebddcccdbceedacdbaddbccaeaeeedeedaadaccecbcbdadebdbbbbceebbabbcbaeeddbdededbabcbcedaddcdaebaacabddeddebbaeececdbabcbbcabcceedbceccacbdeececdbebbacddabbdcbcedccadcbedabcaabacccbcabccaebdccbacddecaaeedaddeeeaaddaeeaaceadbdbabddbdbdaebedaebbeedddcedbeeeeadcaedbeeaecdcedcebbaebdeebdcbceddadcebbaddedadcaebcbebdedbedcebdcebceabaceadeccbcaeebcdcaeaaaaecaacadbcadedecbcdccabdeedcbddadeebadaedbaadaadaeaebaaedbcdcecaddbbeaebaddcddedecddecacdcababeeceecedaeaeecbebcbdbdecdcdbecedcdacdeebcdcddacdccbacaacdbbcbebccdbabbcabbbabdccbebdbdcadccaacbdedcbddaeebacbbcdbedceeddceacbdbcdbbabeaddbcabdcbebebbebabeacaccddbccededaceaaddcdcdebbcabeacebcccddacecdcaadccbaabedaacaeaadcecbdcaecdbecdcdbeecdebbbcbbdabbbeababdbdbadabdcbdbadedaaeacedbbdeaebbdeddcbeedbadbcaeacbcbececcacacebddcdbcdcabcdbaaccddeacdbccedbaeabeeabaeadbecddadaecbaebcaceeeeebcabbaeeacccaedcbdeadbcdbbedacbceedecdecbbccceebbbaebeaeceebaececcbddaeddbbcddecdadcbceedecbcbbbdeebcecddedeacdbedbbbcacdddeeeabcdededeeaddcdabedaabdbdcebdbdabcdcececbbaaedbccbcaabdbabeaabebddebaecddaaaaaecededdeceabeeedddcabeeaebaedacdcebceedacbbeaebcebeccebaeedabeacebcddeacadbebaeaadadcbedaccddedecddecbccabbeabededdceaecacebbabaddcaacccbecaaadedeeeadddecceedaabcbbcedbeaccbebbedabedbddbbddadadebadeeceebbaaeccceeeececcaabccaedcccacabddbbadbdcabeddbcbeedadddacecaebabaaadabccebceecbbbcaebbedccbcccbccacebbcdddcaadeeedbaadcaedaddadcbccdaaecccdacccaaeaadabeceebdcebbedeebbdceecbbdaeedeeadbaceadbcceeebebbeaedbedbeaddacccedecaecddbdbdbeaadebdccbedbdcdebddeebeeeabebeecbebcbabeedacaebbcbddabedaceeaccedcedbbebabebbdddabedbecadcbbaebacbbabaeaebcaeebdabaadecabeabbeceedbeeedeaebbcbdbaddaecacaaaaacaccdeadccbdddecccbbcaadcdcbceaadeaedcdabaddcbddabbbabdacebaaceccdcdbccdabeababecbbbaabecddeeedcbebaebbaaeabcadbecbbccbbddabebbabacaaadbbccdccbbcbcecccdccbedbcddeaededbdeacedbdbaacaadaccdcabbcdbedabdddddeecaaaadcdbeccdcdbeeddcddacacbbadbbcadaaecdaadabdeadcbbaccbcbaabbddbecacccabbbddcdccecdccadbaeecebbdcceabebbecbaeecedbdccbaadabbcaaeddcdcaaceadbaecdbaeadabbeadbdeeeececcaccaeebbdeeedcebecebbbbedababaeacedbacdbbcdbccbbbdadacbbcadbecebbccabdedbedcebecdecceabcecebccdeedbcbdcdbcebebccaadbddbeddeeebcdbbdbeecbacabeddbdccccebadaedeaaddddecedcacbeecaeddecccccbecdaecbccacecaabbabebcdbceccabeaaebecdcdbbebdadacdeebbaccbbceccaacbaabbcccbbaadadadacceeaedabcdaabcbaadcbabbacccdeceecadbbdeeacaeaceacdcbdbbaecabbbceceddbcccaaaaabcddeeabbbccdbecdbecbbaddbdaaaaaaadedaaabeceaaecddaddacbeaceaaebceeebbebeeacabecedcddaeeecbabdbbcbbadeacdadebebaecebdaaeccaabedacbdebaddddacadceeacecacddbbeaedaaeddabadabdbdaccdecdeccdccdcdbbbdddcddabcaddbaccbcaacbbcbbaeedbadcdbdbbbecebaeeebacdbdcdbbdcccaebbcaeeacaeedecbbbeedcaaabedcceabcdcaeebccdccbdbdebbcdcbdcdceeeaddcadaabccabbbdecadcdacceddccadaabcedbeadaaeceebbcacbbebbabbabecbbdacbbdaebabeaddbddedaddaedaaddbaabcebddcaececdbdaebcbbaabbddecccbbdecdbebdebeeddbcadeedbcdbacbceacdeecccbcbcbceebddadcbddeedbecbecebeeacdccbabbbeadeddcccaacceaaedaebececccdadbcebadbdbdeadbcacdecbcecaceebecdcdedaaedbaceecbdedaecedebedbddeaddedabacbeadcddbbbeccadccdccbdebaaadeddebadbbbeddacbdbcbbbbcacecccbbaeddaccabdeceabdaccaaadccdcbaabaebbaadecdddedccebbdcebebddbebacbdbcedcadccdeeeacebdbabdebadecedecbddacbabcbcbbebadaccaecabcedaaeeadebbdbccedeadbdddacbddebecebeacccebadcaaceedabaeadbbdeedbbdbdbebadeddadddbaaaeabaaebdbddaebeaeeddbedecdebcacddcaeaaddcacbbaecadbdecdbeeeacbcdeabbecebabbcdbdcdbdcbdddaedbacceadecddbbcdaccbedaceeddbeedcbdceddaddbcbcadeddedbaccdcaabcbbdbdcadddbebdaddacdbaecccedeacbcdddeedddabceaabbaddaeccdaebbcdedbebaeecbebeadeeceedceaeedceadcbcacddbddedddbabcdeaccdbdcdaaabcbcdacaddbaabaedeeadebbabbcbbcadebaeeddbaccedcadedddbadbaeaadcddbaacccebaabaeecccbcbbddcbcdadddaebeacdbaaabbeecaeddcadcaaeaaeacacccdcaacebdeacdbebaacabcedbbdacbbababeaadcedadccceaaebeacacbaddbecbeadebeadcbdacdbbdbeedcacbbaebcedadbdabebcdaaaadadedebabededccdaacdaabdbeddadbeedebbccbccdddeaaccbcaaecaddabbeceeceedcbeaaacdecaecaeabeebecceeecadbbdaccbebdbbeeaaacceeecabcadeecceadceceddbceeaeacebeceeadacaeacccdecaacacaeeaebadebaedbddbaddecbadeacadbdaecdebacaaacbaacadccdebbcceabcdedbeaaedbbbbbeabebaeaadaebaeaabbaeeabdcedddebbeaddcaaadabadedaccabcbedeeabcacabedceeebbbedbcebaacbceaadcadcdbebeecbbcdacdebbaadebbdabbebeeecdecdddbeddeaddcbaaacdddaaeedaaabaceecbbbbcbbdcebaceacdbbbbbbeaaeabdcdacececbaddddddbdbebcdddedccbeaacddcdaeadbeecabeebbeedcabdacabaeaecdeabdcabbaeebebebacaecceaecbebebddeaedbdbccdcedacacedbccbeeeaebcddedebecbcddadebdabadededcddaccedcdacdeeaecebcdebccaaeeddedbbceacaeebaccecebeadcceebceecbaeddbaebeacdddadabcaaccbbdaeecbdceeaebecbdcceceeccbdeccbbccdeeaaddebcbccdcdaaabddbababcecabadabbdbdeeadaadcccaaadcabbacbdbcdcaeaaeaddbacebdacadcaadeddcbeaebccadedbcdebcdbbdbeeddeabdacedbedadbdeecdddbecccabdbbeeeabeecbdcacacdbeadaaaceabbdcccabaedacdbdbdbdeecaaaddceeaebdaebcacabbbeabeacdbcccdbbdbcbbededaceebbbabbbeeaeeaccbcddabcdabecddccaaeadcaeadbecaaaedaaaacadbddcedcabeeaaddbaddcdbbbeeddbdbedaccbedcccaabbdcbecacddacdeacacdeaeebacecedcaceadcacaebacbaebaeccbdeaeaecbaaccdacddeddbaecabcedddddcecbdeacadddeaeebcdceabdeecdbbcdcddddebdbeebecaabcbabcabadbeccbeebbdaedcbaeddaeecedddcebacbcbbeccbddbebabddaebcdbcacabddbebebebabdaebedbbeacbdacaaeadaeacdbecdeeeaaceaadcacdcbaddbcbdebccdbbaeabdddbbeecabeaaaceeddcabcccddcdbaacacbbceaebdbcacbddaabeebcceadeadddceccadaaecdceaabdaccceeaebbeeeddbacaeaabeeeddbccdcccbaaceaddeacadcecdaceeeedceebaabebbdeedaddcaeebdcbdbbdaaaebeeaccdabcaacbdecadeadeddaccccebeddededeecdcbeacaedabcbcdadbaeecddbaacdcbbbeaebccebddcbcbcebabbeadbebcbdddebcddeccabaedbdadbaedeacabbadcbbacbeeebdcbcccdabcbeacacdaccaadedeeddbabeadbbedbbbbddebbbacaaeccbecbbcceaecdcadaebbeaddecdaccdeccddaacbdddacddeddbcbbddaacbdacaecedceecbccbbbbcaabaeadaaabbcadecbabbebbabbcedcbebaecdacacebeeebaaadabcaaebabadeccbeecdadeacaabdaacdaeadaccccbadecadcbbdeaddbeecbbedbaadcedcaecbbaadbeeecceecaeddaedaddacabedbadbbaacabdeddccddbcaacadbacdebdcaadeeaaaceeddabbbcadcbeaabecbbddbdaaabcacdcaeeaaebdceebbcbcdcdabdddbaededcbcadbdcaddceaadbddeebaacdcbabddbbcbbcccbaacecadcaeadbdecccebeededbddedbaebaacdcadabccbebaaabbaeecacdecacdadaaccbcdbedaedccedccddecbadcdbcbbaebadcbadacebeacedeababcccbabadedbdbdbabaaacddeddaaebccbbebdabcadedbedeccedeadbacccaaeaeecbccbaceeedddebdcbdbdcacccbdedcadcacacbadcebacedcbdedbddbcddcdbccebdaeebdeebecebbbcedddaaceaeadadbdbbeeaadaaccddcbaedabdaedaceceebbdbcacceceabbaaebbebecdebcddccbcbabaaabdeaebaedccbcdacaabedaabeddbbeddcbbccaaadbebebecbbeedbcceeeeceeaebcdbeaddaabcdddabaddbbddebeaacdccbeedaedceeadbeddebebddcadeeabddedcecbcdeaeededebaeeadebeabcddaecaaaaedbebbaccecaaccdbabdceeaebcdddedaeecaddacaeeeeadabdedeaeaaeeeacdaabddababbabbdcaaeabeceecebaaacebaebbcbaddbeeacddcbebeacedcaacbddbbecebeebeddcadadceaaadccacdaecdababdbdcdcaabccdcbebcdccaccbccdaecdbbdaebcbadcdabbddeaabbbdbbbdbbceeedddaebbceabdacbacbcabdcddaadbabdaeebceaeecbdbeecdeceaaabaededdeeeeebacbdabeaadbcdacdedabacaadedaeedecdabdcdeadbbccecceeacbaeadeeeebeebedcecabceceaaeeeddbdcabedcaacabeceeabdaeaeddceecdacdeecdceababbdcbbccccaceabebcdcebccdbcccdbcaccceecadcbcdedbadddacaaedbeeadbdaadaceddcdeabeedbdccbdcabcacecbacecadccbdcaaabaaacdceeedaaabeacbbadbaebebadcaabbecadecaabbcdecdaebddebdecabccadcdcdcecacdccbcbeccceebadbeecdaeccebebdbbeeccadadedaaeaeeeadedeabdeadbdeecdbacdedcaccddaebdacaedbedababcbadbbdabaaebbadbdbabcddbdbcbecbdeecbbbdddededbbbcbaddadbbccadcabbaeaaebaeedcbaeabddeecedadedcbcdbdebcbcdaebbabeaebbaeccaaeedebcbbcdcbeaeceadbdadbdeadbedcdabbbcebddeaeabaabcddacdbbedbeaaedbcbeabebcecacddcddedaebeebdecaabbeaddbcedeacaabcbcebbddbeabadabdecddbdcdbddedceadbeddbcbbcacedbebcadacbbcaadeccdeadedeccdeaaacaaedadbbcbdadbadecbecbceaebebccaadccacdccccecececebeaecaaaceacebbbeebdabcdbbbdcbcaebabdbdbaabbdcbbcadecdccdeedebadabaacaaaeebbddbbcebdbcdeceeecbeeabdaaebbcbbbabdcbabedbabeeaabeacddeeabccbebccdeceabadcecbdacebcbdadbaebcedbececeddeaddecdbcaddabdbedbaddccecdbebababaaebbbcedbacceebaabddeeadbdeecbdacbbabeceebcceeebadeccceebdbabddcddeabedbbbccccbdeeabcbedaeacbacbbdaddecbccdabaaacebceaeceeacbbbebadddeaddbccdbbaebabbeaeeddebaaeacbbbccbbeaabbdbcbdeeceecebecbedabcaacbebceabcbeeebcbcebeadaebaadcceabdddbdceacacdccbdacedddeeabbdabbbbaabacdabaebaaedccbabdbaadcbabedaccebdcbecbecaccedbabdbccabbcbebabcecbaccbaeddaedaccaaceadebaabadcbdcedabdeebbeeeecbadaedcbaebbaeadcecedecdcadccaecdaedbaeecaeeceaaecadebcedddabcbaeaeacdaaedccacdeabdccdcdbcadbbbcebeecdcdbabdebbdbdddcabcedbdbdebacebaaeeaeedaeacacbcbdbbbbedceaccebdbdbeecedbebbcedccbceaeeceaeccebababeeccdcbacbececeabacbdddecaeeabdabbcadaebcdedaceddaaebcddeceacddecadcdeaaecacacbdabbcdcecdddbcdbebacaaeaceabbcaebedeeecdaccecacadbebaaeecbaaeecdecddedeccbcbebbaebdaddbcbaabbbceadaecbedaecdecdababedbacdbedabbcbabcdedeeacbdcbedbadedaeecaaadcdbbebbccdcbcacbecadddecbdbaadaccbadcbdcdcdbbdbeabeeccdecdadddebbcabaaacaeaaadedeacdeacbcbaebcdeaaddbecbeddcaaceadedbdcbccbcabbdaeeccebdbbecaedebbbaccaaacccbdcebceaccbeacddbeabbccaadbecddbcebbdddabeeadadabeedbadebeacedbebbcbebabbbabcedecaeaeaddbecbadabcebcebbbeacabcbaeedaddcbceaaeccadcbedeccaccedbeceecbacadebcbaddcaccdccadeeeeacecebcbbecceebbbecaeeebbeacadcbbeaebddbdbedeeebcbebeadadabadbdaabbeedabceaeedacdedbdbedceadacbddcbbbaccbeebeeddceeccecaedddedeccaeaebdaecadcabbbcceeecbccaeadcdacedaaceeebbcbcaaedcceadbecbeccbcaaadadaeceedbeaeceaaddbaeaabbaaaccdbceaeebdecebdddaeddeedddbdbeabcbcbcbebdebaededcbabaacacddcbcdacbcbbeacdddbabdebbaececaeccdbcccedbaaccdbaecddcdaebcceeeecaeacceebacbbbbecabcbdbeaeacaacebaeadececacabdceecdbabeaaeacbacadaccdadcaddbbeebabecaceadbcaeaeaaeeacaeedacebcbaaedcddbbbcdddbbaccdbcbabecbccebdeabbadeadceabbbabccbdbcbadebdcabdbcccdadcadaceeeeacbcdbebdabdaddabeebeeacecccbadcbcebbacadbbedbaccbccaacaacadbcccbddeabcaeedddcaebebdebaebdedcaaeebaececebcdeaaabcdbebabacaabeddadceabebdcacbabeeecbabccdebbdcaeaebdeeedcbebbeccabadcecddeeabbbadaeccdbcddceaabbadeaccddedbbaadcabeeccdbccddaeeebbecabdeccbbaadedeebdddedaabcaeaaeebaacdbbcbabdcebaaebdcdbdabaecccedadaadbabdcaaccccbdadcdccadaceddedbdbbcecaaecbdaccbeaedbaedacbcceccbdddbabcdedeabecbaeadeeabdcadcdcacddcbbaadaaebbdbeccbeadbbbaccbecabbaeddaeedebeaeaabcbeeacabcdecdddaabadaccdcbdcbceedcdedeedbbadedededcecdcacaeaaebbaadeabaeaacbcadbbdaeddabadeadaeabdeadbcbcaacebdedbaabaacabeeecbcaebceceacbdcebadceecacebddbbcdebbedaadbcebbeabaaacbdbaacabdabdeceedbbabdaeaceeeadadeaeebdebaeacaacacebcebbbcbeeccbcaccadadccdecaebabadabbadcbcabdbbbebbedbdcadcedbceccdbaccabaccaeacdeaddeadcddbcbabaebbadddaaceaceddabbbeaacbcdadbbcdabccbecbbbebbdbbcbbdaecdabceeadceeccedcacdabeeddedaaaecdabddcbeabcdcdeeaaaaddaadbdbcadaabdeadaadcebcebeddccbdceeaeaabcacbecceeedadecceacabddcbaeaeeeceebadaecceaebbcebbcbeebdeababdbddaaeeaccdadaedaccedccadaeadcddcaebcdbbeababeebdaedeabbadddacbbebacaaddccabadbaeeccaddebdeedbbadadbbdcaeecaddbacebdbcaeddbcbddadcadacbbabcddedddeaeeabebacdddedebeebcdeeeaedeeeeaccabbdcebdcdadbbaabcaaddecadddcdabbdabbadccecdbaeacdcecaacddccdecebdebababecdeadccbdbeaaacbaadbbeaebbbbeeddadabcebcdcbdedabaaebacdeddbabcedcbaedaabaedcbdbaccedebcccbadcdaedadbcbeecdcedecdbbddeddadabcdcdbcbedcaaadbedcbadbbcadebbbedbbbecaadacabbcbaaeedccedacbbbbeeddaacacacebaeddabbbedadccdcacaeccdceaedeebdbabacecdedaaceaabceadaaadbdcadddcdeedebcebeeadadddcbeebeadaeadbcbdbeeaccbbbebbbdaacabaaccdceacebeeabcdccebdeecbcbdccbbecaacbbaecbababbedacecbaebecadbddbeeceaabbcbeeedbbccbeeeedeedadbccbbbbdecdeeecebdbcbeeeddbdbdecbcebacedeeceeeadacbaaebbaaaaadbaaecbeabbcdecceceebeccacadaebebbacceabbaaedababcbcddcccecacbbedaabdebcabbbbdbbecabeadadcccabcdcceddcadddacadccabbaaeeeeeedcdcbbacceaacadccbbebaddacacdeedbecdbeeccacdebedaadaeeaeedecadaadaaadabdbaadeebabebdeacbbecaabdedbcbdaeebeababeabbeeabaacbbedeedacebadbdebabeabbeeabbecddedebdedddcddaaebbcbdaeabaedbdaeedceeaadaaedbcbdeaadebaeeabaaeaaeaaaaddeeeeeaedddcacceddbededeadedcaaadcdebadebdaceebebccdccbdaadcdccddacabecdeebcadeacbdacececeacedbddabeecaeebdebddecdaeeaebbebebaacbdbdbccbedecbccacbeaebacdcdeebdaeedccdbbcedbecdedecabdcbdcbeaaeaeacdcdadbecdbeacbdabdbebcdebbebdadcadbacbacccabaaadebbedadcabbebdebdacaeecbdbbcdadaceeeecebdbebbccdebbbacbabddaddabeaeacedacebaaebdecabcdbcabdedebbdeedcaecccabccaacadeccedcbebdacdaeabdeacaeeadbccdbeabdeaaeeecbeeddddbaaacecedecdaddcaccdeeeaaecdecbbbecddbdbdcdeabbdebadbedecebbabcecdbdcbcaeeecadaacceeeaeadbbdebceeeaeeedbebebabcdcbeccbddedceeddabadcebdcddcceaecdccbdedbdacaaccbaebabbbdbaeccdebdaabcbbaccabeadaedebecebdbcbcadcdbacbaadbecaedaaccdaedbbadecddedabcacaecabbeaddabeddabdbedaeaebcadcebeebedebadcbebddcabdeddecbdeadbdeedbdebadeabceabdcbbdcbceeebacdacddddcbdbdabedcaaecdbecacdaceecdaadddbaebacbcccceacdaeacebbbdeecdcaebceadbeddabbaacddbcddbedcabbdbacacbdecaaacaedabcaeabbaeadadccaecbebbeeabccaecedbaecccaeaddebccdabeccacebbaeaeeaeecddbadeadbaccccbcabadecaebdbdbecdeacaabacacdecabeaabaebecdecebaebedbaedbeccccbddccdaacaacdddbadbddecacebbeceeacceaaeeaccebddedecaeeedabdbbdadeeeeaebbeddccbecbbeeaebedbbaddcdceecadacddcadeeacdadbcadbcbdcadcabcdadbcdcadbedeedceacaceabeeaacecbdcbdedcdedbbbcbccddbeedabbdeaacdbaeaacdbacaabeddacbacddadebdebebeeceecccdcbbadaccdadaabbbcbdecdaaeacadbcececaabdceecadbeaabbebdabaaacbcbbadaeaccbadeaebdcdcacebbedcaeaaadcbbcbcebeececccabaaaceeeaaaebceebbdcbeccceedcbdbbaebbeebeebbeddacbaddeddabbddbedbcdbaabcbceceaccadaaeeccabdccdcdbcadceabeaadeecdeeacebceedaadbcdcacdeecacdccdddbbbdabbeadeecbaecbadbaedcaaceebabcbbdeabeecabeabaabdebaceecbedcdacdbcadeadcadcaadabcedbcacddeeacadbbbadecaeedccdeedbecadaccccbdaeccceeceedcebabdbceccababadebcdcaeebddebeecbbbacdebcaceecbececbacaaedcaaedbdcdcbedbedbecbebdddacbddcaaeedccbcbedabceeecaabedccedceceddddedcceecbdcbdeebbaabeccbdadbadcabbbbcddbdaeebbcdcddabeacdadbdacedeeeceaabacddbedebcbebebdcccbcaeadcebaadcdbaaebbdaabadcbbacabddbdaaceedbacdcaadcbcdaaeeecaeadacbeebecaaadecbacbdcbeeccdccbbcdbbcecbdecbcddaaebaccbabeabcbcedadbebcacbcddacdacbabddcdddadddaaabeaaaeccbcbdedebbeecbacabdacdcbacabdbdaddbcbeaaadedadacbeaaaaeceaebeeeecadbadedecdaaddbdecccaeaedbdaabaaceecbcaaaaeddbdbaedcaaaaebecdbddcaaadebecedcddbbddcecedbaccddacccddbdccddbaacbddbdaadbbbadbadbeddcdbdbccbaacbcadbbdeeaecedaabdebedceebacdbbedacabeaaddbccdbddaeeaaebbaccaddcbddccceecdaeceecbcdaadcdbeeeccbaaeaebcaaecbbecbedeeaadcecdcbdcecddabecaeebadebcccdebcaaccedbcbbdabbcdebadccedaccaccdaecdeececdbbdadbabbbcaeaddabbcbbadccddedbaecaeeacecadadcbadaadadbbbcabcbeecbbcabdabdcdeabccedacccccbccbbbeaaebbdaabcbdaccdaaeeebebeabbcdebbadecabdcdbbdbaecdedecacdbcdcebbdccaebbeeaccbcedccaebaeeabcdbdabcbdbececbccdcbdbaddcbbabceccaaccbcdbdeeebcbddeeeeacacaadedccececcbbaceebceeddbbbbdddebbdabdddbaebddaaccdcecedeceddeeeaadbeecedebeccbdecbeecddddcbeceacddddeadabbbccecdbeaaabcdbbccacbccbdbaaecdaabbaaadbabaeccdbbbedcebcbaacdcdadedabeecbbdddacacbaeaeededbceceaeeaabaedddcbedceacaeceebbadacacdbceecbacabebdcddddedeaeadeddaecaacdadccecccaabdccdeddaaaeedebabaadccbbbbbbbdddaebacebeadbdeaeedacdbadacbdadcaedeecbececeaeadeaecdaaeeeeaadecadcccedbbccdbbaaeeebdecececdebeadbadecccebeaaeedabaceeeeabbcaecbedbcdcdcdabacebbaccbcadbaaacdcbebdcabcacdbdaedcdceeaeedeceadcabadcbdbadacedabebbcaccbcbbcaadbbecebbccedbdacdebdbacbacdedabebdceddedbabeabebcdaecdcccdaebdcedebddededeeecdceaaececdaeabbeaccadbadadadbbeeeadedccceadaeecbebcaabdcebbdabaabaaabccbcbdabbdeecbbcdbdccbeeebeeeeccadbaceddcabbccacaaacbecabcedbbbbeababbcdaabcedabbbebdaacacebbeddedaceebdebbebcccacddbbcddeeecdbdeedaaadeacebabebeeecebbdcaebbcababcbeaaaabdcccdedcbeaebcaabcbddcaabcdddeedccaebeadbbddeaddacaacadeccbaeadcebedddaaaddbdaebddaedbaecedabcedecbcddcbacceeddebaedddbccebbeabaccdcccaacadededcccbabcceaccebbdcdcdcdabcecbaaddecddacacadaedabadcceebccbacdedabbceaaeeeeddaccaabbebaeecdaccddeceeeadebbdbdbebedddcecaeecedcdbaebbdcbddeabbabddbaaebdbabecebdbddcbdeceebaeaddeaadeaadbabceccbbcbcdcadbddcaeeadabbcceccdedbebcbcbedabdcdcdaaddaadbbceacdcbabdddecabebeaccdacceceaeddaaedbabaddcecebaebdaebcbedecbbedceabecdaadbddeaabbadbbecdbbebaeecaeabadaccdeccdccaebeacddbaecbcccddaaabbdaadccbeccdbcddaeacbccdddaedddaeeaeccbeacceccbccdcdddddedbbbcccedaccdeeeecadbbbabbaeedacacbacbcadacbbcaeceeeeededcdccdbdacdaeacbbcacccdabcedbddddecbdbddeedbadadaabeaecbdbdbaebeaeacdadbecbbeceebbaddbeabebecbdaddbeabccbaadcbdddadbbebccdeeeaaddcdaabbbdaccbbedcaaaebacbacebbaeacdebdcdbabdbadbcaeeacaeddeaeebabacaeedaadbeceadbddcebcccbebaceeebedbaeaebdebcdeaebaaeaaedaeadbaaabeceeedacadeadbebacadeecdbeddbeaceecdbdecaaecbeacdcbaaabaaadddcecacecdacabbaebaadebccceadcecdebabddebbddcadaaaccdaabcbcbabdcaccdcbcddeaadeebccabeacacdbbeabeebcdadedbcedbcbeabacdccdaeaeaaabeacbbbdeccdebabecacbadbdeccedbbeedeabaceabdbaeccabdadabbcbbeacabbcbdeceaecccabbbbaaabbaabaedadadaeebbdadecbbcdedeaccddaecbcbeadaccaccbbeadeaddeeaadbdaabdadebbbcddbcccbaaadaebdedbbbbecbdccaddeacaaaedcbedddceaccabeebdbdddeabcccbcadabdcddddbceedeceeeacbbbdaabbccbaeecaccaadacabebcacadbbccbabbdbccecadaacabaadcaccbaedcaeeabcbbcadadadccbaaabceaadccaecccccacddccecdbcbdadaddceeaddaaebeaaaececceeecbdcbcebccdaecacaacbbcebbbdecdbcddeebdceaaccbbadcdbbabdaecdcddadaaceaeadedaceaedbeeabcbccbbddedbacedbbccaccadcbebaabaddeaaccbcdaeddceebdbeacbacbeabeccbbccebccddccbbdbecdaaaaececaeccabbbddedbecdaccebccaaacdceecaedcdcaedbddcccedabeadacbbacddbcabbdbdabadebccedddedcdbbbaeecdcacdbaadeadbecddedcdcecaacacadeeecabacadcddadeedbbdbababbeabedcddeecddadbcebecdabdadbcbebecebccebeddebacacdacbeaaddeadacceabedbbeddadaaadcdcdaaacdadabaaacaedeccadcadbacdceebbbbaeadebcdcabdadebbebbebdbdbdbbdebbbebbdeddadaecdababedbcadccedddcedbcdccbccdacbbbbadebceedacedceecdcedeccddaacdccabcadeeabcadadcdaaadaaebebeeccdcdaccaededccbccbbaabaadcaaecdbecaccbccaaadaddddcebddcadbdebaccaaabbbbdaabbaeccbdcbeaebdadddabcecabbbbcedcceccdebdedadbcadeaaaabbbdadddcbedebaeaebbbcebdbcedcdbaeaacabecdaeeadedeecdeddcddcccdbdeaebaaccebdcadddaccbcbbabcdbacccdccddeceaeddcdaacdceeeaebeddebeabbeeccacecabbbadaeaadacaececcbbbdaecceeedcecbeeeecbdebeaebeeadbadebceacabeebebcdccedbdacadaeeedcdaabbbeaddcbbcbdcdbccbebecbdeeececcbcdcdddbbddecadbcbadcaadcdaeaccabeddcbbaceebdebeedacadbdadcbdecaddbcdaacaaceeeebcdeddddebbecbcbadcaeecbcaacaeeaceaddebdbbcaedcbeedadeacbcadebeadbdaaaaaaabecbeeddeddbedaeddcdcbedebbbaaddcddceaebdbcbbdadaebaadebbcaaeacbebeeddadeadcabdaecaabcacedecacbdebcaeabcccbeecdddedcbccecbacaddcddacabcadccacbcbadceeeeeebbebcaedcacacbeabdeacddbdceebaccbcddecbbdaecdadccedbadadceacbedbdebdcdadaeddaaaaeeeaeacebedaaaeeeebcadcbbdcddcdaecceadcdbdddebabadcbbbbbaeebdabaabdcecccbaccdeeabbdceaabeeeeebdabdcdbdaadbccdbacbcedadaabdeaadadeadeaaedbcddadaecdebdcadecbbebdbebccaabbaccabadecbaebdebaebdbbaaeacaeddacedbbcbcbaddebcbcbebedbaccaabaaabbebdcbeaddaecabececcdacddbedadceaaaabbccaebacecebccaceacccbcaabddeebbaacadeeceedcbceeccaeebbacdcccedbdbebebccaeaddadcdcadbbcbedcacdbccedededdedebecbcaaacdcadccdaadecbdcbadbcadaabedbbbbaecbecbdecaacaaecddbcddddababeedceceadcbeeebdaebdaadeeceecdcbbbaaaebcbeddebddceebcbdadebbdebdcdedbeeadedcdededaccedacaeeddbcccabbcecababdbbaabaacdeeeadadbcceeaebcadcbbededceeddbaebcedbcdddcadedebcaceccaaeddcdebbbdacacaaaaeddeadbdaabcedbbdbaddbbdbabacaddabddcbbecdabbdcecceceaedaabadeddcccdeceaecebcabdeecedcedadacceccedaddddeeacdbcaaebadbceaecccbcacddceeabeccabedcaaadcaeaecadcacbabacbbadbbbeddbccbedadaaeecbcabeeaeedcddbdacdcebbdbaceeebeeaeecdeddabbacbadaedcebedeabcbadabbdcbacdaaedcaddadcdacdddccddcedbbebacabacdcdcaebbecbacedecbcaeecedaaeabeccbbaeadcdddeccdadedaadcacdbedcbeccbccbbdcbdababbbcddadbbbadaeaebddabcbddbbedaceacaabadbbbadaecbdcbcdabcedbdbaaadaababedadaeddadaebbccbcededeeacccbbaebeacadabeccaaecdbbbaacdbdadabdcacccebeeaddeaacaaedebcdaebbbccbdbaedaabddebedababececacdbedcabecdddedcaeaecaedecbdccaebbedbcbcdcddeaeebdbdbccadacebcceeacedaaebacbebebaacdbabdbdeaccdeedbadececaecbeecbadbcbcbbcedcdccbddaabaebbdebaeeabdadadcdceadaeddaeebedaebcacbbbaabddddbbdcdbaececddbdaeebdcbacbedadaaaccabeacbbcebecedbadeadabdbdccdabaaeeebaaebdecbebedadbcdaabbcbaeeabebdeddedebbbdeaddaadddbcecbdcebebbddbecbeacdedeccceabdeaeaacececdedcdedebecccdcbccebbbacbcddecdccadbccdccaabbbccbaaeeebcebaeeabcbaeecdaeaabbbacecaadebdbaeadebadabbebacbeaaaaadbabcababaaebcdeddcbbbebcaaabdddcdeadebcbcbbbdbcebbddbbecdbbddedadbedacccbdccdabedaceeddecdbcdadacaeacaceeadbddbecaeaedbbbedaddaabcdddbacbdbdbaacbbdeececbbaacedbaeceacceacaecdabeacecdaeaedaedadbaaddeeaaebeaccebccbbdddebceaeeaebaeeaebbcaeeeccedaccbbbedaaacbeeeaccebabbedcdabbddadeacabeabacbcccdcebbaaacebbaeebadbcaaaaedecbccaaddbadaeeaaaaeaddeddbecabbdcbeeeeeeaeddaeabcdbaaaadbecbeadeadacedcccbebcdddebdedbcbbccabedabaebbbcdceaadccbbabecaeedbdeceecbcaeeaddaaedcdedbabdbacaeaabcddaaaaabbdcccbcabcebdcbdabdeadddbeaedabebcbcdddbeabeadceddaeeaeededbcabacabdaaadbebccbdcdaddacebcabcbabbdabdddaeaadbeeaecbeacebdddacbabaeaabcedcacabaaccccabdaedeaedcbcbabecbddebcebebebcaeaceeebcebaedbedbbeabceeaebddecacbddedbabbadaedccdeabbddaeeebaaaaadecdceabdacdeedcdbcabaedcbdbdeeedcaceedaeebbddbddaaadeabbbeebbdebdddbcadcedeecabccabbaaaecabedabcaeebccedeccaaaaadcccaaeceebddbacbbeabeeddbeebcdababdddaedbabbbbcbbabdebbedbeedaedceaecdececcbdbebdbbccdbbcabecbbabecabdcebccebeeeceebeebbabcdbcaedbeeebaeacccbbeebcccbcaccbdecbbeabdbaadccbcdabbddbeccbcedccabdadbcebbdeadcabdacebcaedcedddcceadbaacbbbadeedddcaabcabebcbbddedcdddabddccccddecdecbaaebeeaaabdeebacccaabeecbeaebbebccbbccddbcbbabdcddcaacdbeedeecdecececaddeeababdacdaaeaddcdaeebbbdabdabddbbcbdbedbeadcccaaaedeccabddedaceeebdcbdcbadcdaeeccdedcdeecbadadddaccccdeebeebcabcdcecccbcecbbaaddaebbbdacabdceeadaecaaccaeddbaaddddbaeeacbdedccaaeadbceddcaeedebeecbeaececcebdcdddaeedebbceaacdbbeadeeeaebabbadcaebbeedcacdeaceccabeddbcccebeccabdccaeebdacacbccbeaceeeececbbdccecdcadddabdcbaeeadbebebdcbebaaacbdcbdebabddacaaddaababbbaceacdcaaeddceeaecebabbedaddcebecadaebcceabddeccaccdabcbbbaccbaceaeccbbeeadaabbcaaddebcdaaeecbdbaeeddddaececdeddaadbbaadadceecbeaabddcacecdebddeadbacdeccdcdbebabeecaccdbeddaaceaccbabddcacaaccedeebcedadcddaadadeecdabeadebadccccadadabeeedeacbacabadaedeeaecbcdddbdbddbcbabcdeaaceaeabdaadcceaaecedcdcdbbaceedaceaddcbbeacbdaecdbdbadedaddcceedcdddddbbdaaadcaeccaeacdcecdcbcacbceedcaeecdcbecdcaeacebdceecdaebbaccbdbcacebdebbebbbdbadadbabbeeaabcdbecabcebbaeabbeccdbdbdeadbbddcbeabdbadaaabddccdecabdbcbbbcdcdadbeaabbabcaccdabbbcdadbeceabbabeabbdaddcaeaddbbaadcbdbcbabadcdccdadcaededeabcddabcacbdeabeddeaceadbecbabceedacdcadedecccddbccaeacccdeabbaadeccdcdcaeabddadadbeadedeecdacaddaebedcbcdbadbcbbeaceabdbeeeaacabddcaddeaecadeeaaaaeebcbabbddbccaacadbeaddcbbcccccabddadbdcaadcbaeecceddeebdccbbbadbbacceadeaaaeaebadbdbedcbbebcaebbababbbedcbcdbbccabebcbdadcbecebdecaebeddecddadacdceacaebeacdaebdbbedbbacaedddebcebbdbeaecaebbadcedacecdceaeadcddddbacddaaaaabccedcebddbcbabdaababdecbcbbbeceddcabcaeeecabcdcaebedacbcbdacabebacdbdbeaebddaebebaabdcbeeaadaadacceeacddaedcecbaedbacbadebceeccccacdaeacdbbdbcdeecbbdddadbbbaaabcddbcaecbcaeecbcbcccaaebbbdaebbdacdaacbceeeaeeddcaaabddeaecadddedbaabdeaacdcaabbaaedccabebddbddaecdedadcdabdacbbadaacdededbdbbdbbeecbaabebacebccdabdddcddaabacbbcedbdbdccddacaccedaaeaedabcedabebabbdaddeabdeebedcbcbdcdabacebcedadeddbebaddabcacbbbeeaedbbceaaceccceacddbbdcceaabeccebdbebdbcdeaeeadbcebcdedbcdacddeaaaaadccebeccababdaeebedbdeebdcbbdebcebbaddaaddeaaededdddbabceaaebaabdcceeadaaaebaeedacecdcbcebbdeeeddabbdadecdddedddcaddcaccacedaeedddbabecbbbabacebdaacdbabeecaaaddcadeabbbddeaeeceecadeeecbbbcdceeaccdbebcbcbeedbccadbcdcabbaddeacaaedabdcceedbaabadbccacacaeccacdbaedabdecaadabaecccbaeaeeebebdbbebecbabcedeeeaedcdcaaebeecaaabaeeecaddedecdaebaddbebaecccbcbeebbcccbdcbededbdebbebadceadbbedecccbadaebdadbadccdbeaadcdaadaebebceebcadbaedabadbadebceabadceceeebedecbddabdbeadbcadbbddeddecbbceaceaccdaddcaecedbaabddcdcaadbabcdacaaadebccebbaeecacbdedbddcaeeaddaacdabddabacedebdaddedbbdcccaddbbeddddaadaaddacbeeceaadebaedaaedabaaaddececaaadcdcdbcdbebedbbcedcacedcdbbdaacebcbeecaedbecdbcabeccbedeecedaebdedddeeddbaddedcdaabdacaecadddecabcdadccbabaeeddbddbceacebbdebecccbaeeddeddcadedabeadaaecbbbbeaedadccbeaaeceacaeedabcabbddabebbbbabdedcdcaecbaebecbeebebacaebedcabdaddaaedebcdbbcecebdccdcddbbeccccebcaabddacbedaaacadadbaceaccabaeabbabdeaeeeeaccddacadcddbdbeaabddedbaeacbedcdbeccccccbcedddcabdcbcaaccaaaadeabdaecdceddcbcdaeecddadbaeabdedbecadcdacdcdbdeabaeaebcbeeaadddcebcacacccdcaeccdcebeddcdcccbddcdddcbeacdbbbbdbbcddbcbaaeadbababacdddebccacaacacbbbaeeecededcdeeecceeedbacaacdbebbbebbcdacebaebaecdcadcbebabaeedaddbdbbcabcddebabecaeadbddaebaeaecbcabcbabcdaddbdebbedeaabcdbaacadeedceedceaabbcecbeacedcdddbbcdbdedbacdededeaeceedaceecabddaccdcabdcdbddacdbbbbdceaeedabbeaddeaadbdecabccbedcecaecdcddbadedcbdadccdbdbbebbbcdbaecbcaadbbaadaeceeaebdccbbebaeaceacbdbbcaacdbbeeaebddbacecbdcedabedbbededddbebcebaacdbcdedcbcaacdbeecabccedcecbcadbbaccebeecbabdddabbdedecddabecedabdcddabeebacdcadccccdcaaeedbeadcbcaabdbdbeacbbabcebadedcadacdbdcbbbaccccaccbcabaaabdaadbdbbdeecacdbcbcbdedccccddeaceecbdbcccabdbacecdeadbcabacebaebebbbdbaeacdbeaeedeccdcaddcceaeacbcdabbeecdbdbcdaeecbcbddcecaecdaabebddeabcccdccabbbaadbaceeacedecbaabcdabacdcccaaccccebecddadaaaaddbbacdaceaeaaddcbeeebeabeaccddcbbeebaccdcaecdbeeebecebceddccbccaadcaccdeeaacacddbeeaabdacadaaabaaedeeccaaeaacaeceabbabedadeecbcbbdecedadedddceabdaebdcdecabdbecaeccddcceebecbceddddccbccbbebddbaadcbdeaaaccbebaecceedabcecbccbcceecacdeccacbdeabebceadccabeabedbbbabedacbadacccbddbdaddbdbcdaeccaecdeeaecedeeeccebcedcaacbabdbabbeaddedcbebbdbacadbcccdabdbeeebacdecdcadcdaabdebebebecdababddeabcdccdbcdaccddcaabbdbdcedbcaebbeacdbdcaaeaeedaadeebbacdaccabbbcdceaeaeddbbabdbdbbedbccaddddabeebbeccbeebedbeebabccbbedceadeabddcdaeebbdaadaacdaadcacdeeadeaddbcecbbbebdbcecbeaaabcdbbcbbdecaeaadceaaecdabcddcbcdddcabbdebacbceabdbbbaaceeeacaeaaabceeecdcbdabbaadbdedbebbedaaaebdbcaebaeadbceebbcebcdebcaaccdeecbebecaeeccceddccaadeccbceadaceedcadabdcababcacebcbcccedeadaccdcbaeeaaabeeeaddbdbbbdcbcaecbaaebcaedacccedaceecdbdcbdbebcccddeeedeeccbaeabbacaecdbcdbaddcbdbdebcbbbdbebeddccdabecddebecdbabdeddccddedbbaadcbeebacddabacbedaccbecbaaabbadccccadaaeadaaacedcecbbbdaacbcccddbeaaaccaaeddcdebaedceceacdbbccabbdaecdebeaabbadbbcddbabeaeabdeaddacdadceccaccacaeddaddccabcbebedbaedcedadaccedaaaeaabebaacacabbbcccecccecdbbcedacdadbbbbdedebccbdaaddbddbdddcbeeccdcebdbccccdaeaeadbbeeacbeebeddcebbabdcddaaabcaabccaacdacbeadbbedabedcdeebcebabbbcbcceeaeeccacedbbeeadcecddddebacbdebcdbceeabcecdeceadebdbadebcbccabdaedddebaaeeeddedeaecdabbbcbadcceacebaeaaebddedecebccadecbeedaecddcaadaeddcaccdcdebaabaeaaeaaecbebbcaadeabbbdcdbdcaebcbaccbbcadccdbedacdceadacebdbabeebcecdcedcdbcaceacacdacbbaccacdedbeccadcaeadaebebabbacdeceaacdbdecadecceaeccebcbdcedbaedecccedddaebaacdbcaacecddaebccdaecedaeddccbedacbaddecdadcccbdcbbcbceadeeccdadadcdbdcdecbddbdedcdbeccbebaacccbecedcbbdceaaaacccdcecadaebdcdbaecaacedcceeadbeadaebbcbaeabdaeeeabbecceeaeddcaebddecebecdcbaddcdecddccaedbdcaecdddbecaadacbdeddbaccdbebaebdceabeebbeabdeecabaccaacaddabbaadaebdbddeddacbbcbcebdaedacbeedacdaaddcbdbdbdeabcbcacbedeacbaeebeaaddacabdbbbaeedceadbacecedcaaddeaeeeadaccbceacccdaeaadbbcedadbabeadceaebebcaeeacdabeacddeadbcaaacdacecdaeecaaaeecdcabdbaebdaebaacdaedaedeaebcbbdadedcddebbadbdbecedabaeceeedcbdeaeccbbddadededcbdaedecbebaecceaeacecadbbedcdddbdbaabdceeccaebbedaddbbbcecacddedacbddcbbadeebaccbaceeceaeeddbbdcccbdeddcaabbacbacceecbdedbcbbcebbccaceeadbdcaacedbccaeabedbbdcecbbcdaaababedebdabdeeccdbbebadcdebedddbedecebeabddbaeeebbddeabeaddacceaecdddaebbaaaecabadeeaaaaadddbebcadedadeeadebeeddbcdeaeebcecadaadeebbeebdabababdddeddeeaccecdbcaceebeedecbbcdebbccaabccbcbebebdcbddeddaceaabaacaadcdabdceadcbabacececdbaaedacbecdcbbedecbbebeebecbcbaebcebcebbdddacdeebdcabbebcecbdebbebeacaeebcceaabacdaabaadbbdadeabeaaacaecaaeddbbcebdbaaeebbbedaeaabbaacababbddabceeabacadeeeddddabadeeedbecbeeecdebdcecbbbddabadbaeebebbecbacbbaebecabdaedccceadbdceceaabcddeccddaaadeacdeeccbeaaaaacabcbaeecceddaddadddedcccadebbbddaeadcdcdadecadceeeddecaddcdaaebbdbbbbcabddaeabaaabeeadabbbcddbaacceededadddccbeadaebccebddacdaabeecdcaebcbceabcddecabeddababecbcabbadddecaaeeaccaecdcbabdbbdacdebbcdecdaeebbbdeadebdbcbeeeeaabdddacbacddcaccccaebacdbbdcbecadbeedbadbbdaedbebeedeaeaddbddbcaceebcbdabbdcaaeeaebabadbedcceeeacaeebcbcedeabbdeceecbebdccebbbaaecabddcbcbbedcddcbcccbeddeaebeceadbbbcadceabedccdbebebddaaccaaedcacbabbbcaeedeecbcdabcaabedbadeaddcababbccdaaccadcebbeecdadaccabdadccbebcddaadedacdabddebebaedeeceeacaaeaaccddbbbaaadccaceaecabddbaddcbcbdcbadbacedccbbceabcceeaabebcdbbcaaedcddadbcadaddedbadddadaeccceedaabbccccbadcbbddacdeabdacadeeaecebbabadceccdaabcacbedbceeaddbedacebcccabdcacddbceadaebbceedabddddbadebeeeeceedbecbcdabbddaadebedddedaedaaddacebabaaaacebacecbddcbaeccaedcdadecbddbcbaabedeaeadceddebcbebbabbacaacddaeaaececbcbbeccdcaaaeaebeeaadaedeecacbcdbeddeabbeaacbecceebddadddcdaadaeebaababbeaebaccbedcaeebaceadaeeabdcebcbbeacbacdcaccaacbabacaceaeebccbadbceddbcbdcdacaadaeaaeadccadecbbabaacebdbcebcbbdaaabeeaeeaadaceddddaccccbdebdcbbdddcedaeadeeabbedbaeeacbdadedabaeccedcbeaecdaebbedcdbbddccecbebbaebedbccacdeddadaebebcbdccbbbdbcdcdcadbbadbbcacaccbccaabadaadcebabbcebbcecacecdabacbceaeecdeceadabcbebbccdccbedbdcdcdacbaaddeaddbddecaacecdcdeccdeeceaccccadccdddaacbaecbceaecbaccddcacdacdbadeccddaadddacccdceaccbeaebeeaecbcbadbabdceebaaaeddbcbcedaacbacbdbceabeededcccaacbdceaccbcbcbeaddeeaebdcebeaaedabbecaccaeebabbcadaacaeccbbcaacbcbabaceccbeccdcddaaeabaabbcbaccdbbecebdebdeaabdbadecadcadbbdbdadbcadaecdceddbeaeebcdabccaecebeaebeabecbbdbdaedadabecebcaeddacdaedcddaccadceaeacdbacdbeabdbedbbbcdabebeeabeabebaceccabaecebadcdceaaddcebedeccabacabacceebdbabebcedbdbcacdddddebececbeeedaacdedeacbdaabbeacdcabbcdccbabebabaceceaaddddabedacaddacbadbbecdaacdeedecaeabeeaeacaeddbeeebbbecaeabdaedabbdebaaacaabbdebdcbdcebeaccccccadeaaaaaceabcdceeeeadcaddeacaebdcbbdbacbddbecacceddedaceddbcbebecdaecbacbcceceddcaaddcdabdadbdebdceaedcaaaceacaadbcaaeebcdbaeeabbdacbcaeeddceaccecccdadbddebbeeaceecbddbeaadcaabceeaebacadccdecbaadeabcbcbaeebeaeeaaaedbbbebdbdcaccbedcedebbbccdbcbdecbbebdaedebcddaabbcacedbaebadcbecaeaaeccecdaedecddaeecbdbdeacdedaaccbadbaddebedbaacabeacedeabcaccdadcdadadbbbebbadbecddacdbdcedeadbcdacccdcccdbbccddcdacbcaeeadeecdbbadbadcecaaeeacdbdcdcecbdacabeddddbccaeaceeaeeabeabaaddbbcadeccbedccadadedecdbdbcbeccbecedabecbdcedccaddbacebcdeaaabccdbbebeceebdddeeebaedbedeacdadbaeadcdcdcdbbdcededcdabdecbabececcabdaecbaaecaeacaddbcdcaaabeaeacedecbdcbbcaaccdaedcdcebaeeedcbdacaddcbdacbbceeecabceabcceddebeacdabcaccbbbebaededcabbccdbddebccadebcaebcbbbdeebabacabdeadebaaddcecaabbccbbdabcdecacadeeebbceebedcecdbdedcccecdbdbdbebadadacadeabcecebedddbbdcdbcccdcbaceecacdcddddedcbabcbdbdaddcdacbabdaececbaebeebccbdcdcbedebdbebcdbaccebdbddbdbbcddececddcdeababdeebdcdccecaceedadebecabedebaabaccbbeddacdcdcbaeadccacceccbbbcbaaceeeadeeadcaeaceebdcbebebeaaddbbbacaaeabebddddcbaadcebdceebddebdaeccceacdcacadcadbdaadcabbcaeeedbbaaadbbbcbdbeedddacaecbabaaadddbdecaeaedddbeebedbaddecaaccbcdbaeeebccbabcdaadebbbbaedbaadceddcaecbeedadddcaeadeddacddcdbaecabebbbecadebedbebccaebabbcaeaedceeeebcddaececaaabaceedbebdcbcbcccbacbcceddebaecadabbbcaceaecdabeceaaabcaaaedbdeddadabeebedacecdeddbdcdbdabccceaabbdcdadabbdeabaeadaaabccadebebaccaeaaabbaaddaaecabbbcbbcebddbebecdbccecacbbccadcbdeedebbcdcbdecdeacaeceeddccddadceedbaadcbdbddeacbdebaadbebbdbcadebcbddebeccbeabbbcbabcbdccbecdedcdabddcceabcdaedcdabedddeacbecdcbddebbbcddaaeddcebdcebcedbbbebbcbbceabbadcdcadcecdccbccbbcadbaceacaccaaacaddabdedddaedcbdabcdaeeaecbaedeabeadedcebbbceebcbbdbbdaeaeabaccdeadaeacbcaacbacbadbbeddeabbeeabadebdaddbebdaabddebbeceaebcccbdbedabbeccccbceadcadaaacaaccceabaceacbccbedbbeccbdcbecccbdeaaccddbbdcedeadceebacdecceaaedadbbabaccadccadedecaebabebdbaddaaaeababedbdcedadbebddaceaeaededbdeecabcbcedacecadabeebecdbbecabbcdcbcbcddaaadcabccaaddcaeaeaadacaadabbaccbeceadbddeabadaceeadaaaaacdacaabcaddaebeeccaecceabddcacbebecdcbdeaceececcbdccbdebaebeccdbccbaebcccccbddedeabeeadabddacdeeeccbaebcadadcbbdeaaadaadbcbbbdadcbcdcedaedeebcbdaacedebebccccaecbdbadcacceabebbaaeecaeadcbccddbdeabecddbaacbacecdbedeecbaabbdebceceacbeedccdcbdbebcddaabcbbbdeaebccebddbeeabdbbddccdccddbcebbbecdceedcaeebceadecbbdcbeecabaaebacceedeeaacdadcaeecbeebcebaeeeccdbbeaabccadacbddaeddbbcebadedecdaddeecadcbeacbedbcdaebadecedcbcbdeeecaadbbaeebbecdebacdecdacdaeeaeaeaceabbcaaacbabacdbebddacdcbdaeccbeabbbdeecdcdbcceeedededbccadcbedddeeecbedaaaddeeeebeaeddacaedeedbbeedbaabbcdcabddddadaecaabaabcbeeddcddebecdcccbbccecdbbadcbcdcebebdbeeddcceaadaededacbebcdeddebdebeddaedecbdadacdeeeaacabdcabceaeeeabaeccdaeaaeeeceedebccacbbbbcbbececeddecebbbbeddbdbbbceeddddccddcaeaebabdedeacdacedccabbbebcaccdbaadccecebedbcdbaabaeacbbeeabdaadbcadcbebdadacadbddabbcedecdeabdbabdaccaeaadabdaedaeaceebdbdeecadbaceaaabeddaedaeadacceeaeecaeaeebaabebecdedabcedacaaabbcbdbeaedaddeacceeaedeeaccdbcebdabaaabbcadaeebddabecdbdecedabddeeaababaadadcaecdbbdcacedcbbaeaccdaeeacbbbedabaadadddbaeebeebcecbecdaadddecdedcacadabbbccdbceaddaeacadeeccdcecbddecdeaaabaebdeebaccbdecaceabdebaedebcceaedecddeabadedaecebaddbedeebccbdeaddbdbdbbeabdeaaccbcacecdcdeebdaeddedaceaeabbccceabbbbbbbeeebaadaeddbcadcddcccbcabededceccdcdceecdbdcbbdcdccdceeaaedbedaaddadedbbaeaeacacbdcdbdeeddeceeaccbeaaceddceadcadeeadacaaaaacbdbaeccaedbaabeaceacacbedaacccbbecacbededeaeaaadeaaebcadceebeebedccadeeecbbccebbeecbeaccacedbeeceeededeaceeaabadbebdbbcdebecbacddcedeaedccddaecaadcedbeeadebecacacbccbadeadedbcecdbbabcaddeacdddbccbeadeceecdedbacccbdecaaebeeabebacddbbcebcbcbddddbdaaeaaadcbabeaaabdccabacacaaaecaaedbdeabeceececebaebedccbcecededcddccaadddbbbeaccedaaedaccaddddcddcaabdcdaebbdeeedddbcdadbccdbebdbaebeddaabdebceeedbbdaadbcaaddddeedeecbbcbbdbceabaaeeababceaaaeadccbbecabeccbcaeeddaadededbbdbddccdebcbecbaececbcdcadecdbdaaabcabbcacdbededddeaacdbabdbbcbbaeeaedeeabaabddddeecdbdccccdeedbbebddbaddeccddcddaaeaeedebdeeddeddabddbeebbbcddcdbaebaccbbcccbcbaeacaaacbdcabeeaddeeebcecaccdacbeedbeedacbddbdaecbbbccecaadbdbcbecdbedbedcdaadadcecedbcbedbdbdaddccdeeeaaaaeaeeaeadbbeeaaebeebacdacdaceeecbcbbbaceabbdcdcdcacacbccaddbcabaedcdbeeedaccaccbdbcdebbbdbcceaccacdabdcbdeebcccaceeecbdddabeadcebebbdcecbcbaceedebdddbddadbeacbdbddaabaeaaababeeeaecdcaedecaebcecacacaecceeedacaadbbaeecbaaecdcebbbcabededbeccedabbccdacbdccaaaecddabebcdcdcdedbeedbeecbddddceceadaccdacddcedaeeabbddaeecebcabeeebbaaaeddeaceceeeeaeeadbcceccdeadabccedecaebbbdeecdbbedccbedebcaeeddeedaaadbdacdccadbecbadbcaaaeaccaceaccbccdddecddcecededeeeadbbcdaededbeaabaaaeadcdeeadbeeecaeeccbadbeacddaeacdeadcccbcbceedeebcbbadccaadcccabcbbdebdadaadabbdebccebdeebeabedbadbdebcabdceaabdaeaaccdddeeeeccbdedcdaaacadaebaadeaecebdecabbddadaaccdaecdbbdecbcdeaadaacbddeadbdacddabaebeabbeeddacddceaaedacaebcdabeaacbacdbebabddbbdbaecceaedcdebaecdbcadacbadcbbcdcabeeceaebbaacdaaaebaceacabebaeacddaddcebbaacdeeecaacaaeeccdeecbdeebcccdceaeeeeacbedecaeaedaabbadaedcebdcebeaedddbecebdeaecebcdcabbcaeabababcdbececabbbbeeeeaacacdaeaccecaccbbaaabbdceebeddedcdadcdacdaeeddadacbdecddaccaaebccaaacecbecbbaccdaeeebccebeadabbaadacdddbedcaeabccdcbcbaaebbbcabdddaebeaeaeaadabbdbebceedeebbcdaacabdaceccaaeeeaeacbeeaeabcebbccdbaceaacabcecdbadcaadbdcdecdeeabbdcaccbddccaceadccdeacadbdcbbebabddbcadeaeaecdbbbbeeeaebbabbbdecededaeeceaedcbbceedaaacbeacaaaacadabcaabcdddadcbcbdbddacdabdecbceeecedabceadecaecaaebdcabbeeeaeaadddaeecdeebdacedbbeaedcedeababaeeabaedbeaaaceceecdbeeeacbdbbebedbccbebcacebcadcdbcecdebeededbcccdeccaeeeeacabdecaaccaadbbbcecbdedadabbecedeaebcebadeccaccacaadcdcbbdaabeeeacbbdbcbbdbbccaeabebdaacaccbaababdebbddbcacadbeadcbeebadbabedccaeabdaeabababddbadebceacaeceddecbbcaabbccddcdbdcdabcccebeeabcbaebacbeddadcbdacaccacdbacdbeeebcaabadacebbddcbebdaddbecaeadeeceeebecdbceadcadaabecbcededadcaeddaabbeabddedddbccdbbaacadeecbaedbaaeebbdbddddcabacddcedddbcceccacebbbdbddcbdbceddddbabbbacbaeecdcccbabdebecbbbdbedbacebdeabddcdaedecdcbbeccbbacccdbddabdadabdbcbcbcecceddbbaedaaeccabbcabadabebabbddcdcacdebbdbcdccbdaeeadbdcadaaceabddaedddadaadcdbdeddaeabddbcbedadabedcdbeabaaeaedaaabdeebeebaebbadabeebaedcdbebcbebbbbcaadddcdbaecdbbabebcdedbaeeeaeedededbdaebbcdaeecbdeecdeaedbdcccbeccebdbdacacebabbaddebdaedcbeeaeebbbddcecdaccdcaddeeceacadedbaceeedacabdeecdadbbdeadabbeaeaedabcbbccbbeddbdcacdcabadceaebbbbbbbcabadcebbbdcbeeaddcbadeebbecdddbcbcbdcabdbaebadbedabaaedbdcdacbebedebbeedeedddcbbaccbebebbadbbbaddedebdeebaedcdaadcbecbcbecbedcbdcdbdaeaecacaacecedacaccdedaaadcebeddbebadccceddbedcbacddbedeeabadbdcceadcecabbcdebcadadeeddadbebbbecbcbaeeabcbcaeecdadededdebbeababeedecaccccdaabaccebacabddededbeabeacaeaaeeceabaeddddebaabacbeecbbcbddeebebeabaaeaaaedcadecbcebbbdaedbadedeeedddbddbecbbdeaeeeeccacdcdcdcdbcdadaedccadeccecababaedbbaabdadbecbeccedabbaabcaaeeacdbcdaaaeaebaeaaacaabdadabdacaabaeceeccbcbeabedabdabbadaeaaabeebbccbabedcddbbadeebdecdebaddacbcbaeddbbaebceabcecdaeaabaceeeeccbaabbcbcbddcaabedebacdacbcabeceadbebeaecccbcbcbeedbeabedacacbdcadedbbaeedddababcebaeecaaaeeaaeedbcedbbddcccdbebbbdcbbccbdbaaccbeaeabadcbcdbebdeceddabcadbaadeedddedaeacaaaddabebdecddadcdddbbbecccbaaadbdcacceedacdebdaabadaaacccdccdabbbbbddeeeeadaeeabdaadbedbbccaacddebcebdbbacddacbdaadadbaadcbcdebdccdabceeccaadccacdcdbaebebdcccdeececadbcccbdbabcaadecebebdbcedceaacedeadaeeaecdbdeddbbebaabeddaecabccbeddaadadadadbbcdbddbbaaedaebebbbcccccddbcaccdbecdaedecbbdbabbbdcbecacacdbcdddbacccddadebebbaecbeacebaeabaaeadebacabadbedadddbceadbeadbbebaaddedbdecebdeaeaddeaceeebaacbeedaebcdbdeacaabceaddaedbbdcebecddaacecabcadcbbcdbabebecdaadceebceeebeebdddeabaecacdccaebacaedabedbbdabadbaeaecccdaedabecbcbcebbcaaebaecbeecdacaedebaabdadbddeeebddbbaebacdeceacceeabeadedbddccadabeacbdbdbaaabcedaadecbcbaadaabdebcdbacddeadabbaaecadbaddbeaaaeebcabdabaccecaededcadccddcbbcbdcdeebeabdaedbeaebeeaceadaaeeecdcdaceddebccccccbcaabedaadccdeadbbebcecceceaebeeacabaecdcdadaaebdcddbdaaaecdbdbeeabbccccdaeecbcaeadcbedbbebbcdadaceacaaadeeaccaaaeabedcdcceecdaeabeecaadadaeeeccedcebeaaddbebbbdbebbaaaabcbebbddbdcaabbccbddabebcabeaeeaccbdcdbbdadaadbdaededeccaccdccbeedddcddbbebbcdaaddaedaceaeecdaeebbbbadadcebdadbcecaedccebdddccabadaceaaeccaeedebbbaabeabdabdbdaaabeedbccecabedaadcbdebcbbcaaaeebdccdbbbceaeebcaebbcaeaddacbdacdacedaaeabbecbeacbacddccdaddeeebdcbbaaacbdaceceadcadaabbbdbbdddabcbdbaaedaedddcccbaeeeaebbbcabedcbcaecbaacbedacdbdbcaecaacacbacaebbeaaaadeabdabbbedcecdcebeedecaaeebcabddbddbcaeacdcdedcbaaccebacdaebbaacdbceecccbbcaeabeaceeeadddaccccacdddaadcbcebcedabccddbcdcbbaedebeeccecbaabaedcabcebedbdadedcababcebabeaecdacdededabcbaacaaeabaeedbccaaccabbdaddadcbababbdbbeddddcabdabeadabcbdbdccabbeabdacedeaeeaaadadecedbeedebcddceeaadbdbdecdcbccdccecececdcacbcedbebcbeabbcceededceecacdadbedbababbabedddcabbdeeddadbcdebabdccdbdebccdeaaccdbaeadaeadceaedccceccdadaeddaaeebdeadbccaaedeeeeabdbdeebdccaadecbcebcadcdedeaccbaceeeedbeaadddceedbdeeaecacdcbebceadbdddadaccbeeecaedbaddbadaeeadaeddbacdcaaebdbeaaeceedcedeabbdcbecddaaaeecbdeccbdbbdeabcceadcdbcdacbdecaeacdbedadaeaecdcadaebcbaaaaedceeacdabcecadcbeeeabeadadbcaeadbdaaeaceecddceecbaaddbccbdbdeaeebdcccaeabcdeebadbddcbbbdccabdabceebddcdebebdeebecacbbddbbccddeabacdaadbbcddeaeaccacacbccbdbdabacedccbdddadccdeaeeabaeadbdbbcddeeaeecbddacebdecacbabebedbbeeaddcddedbcecbedddebdeababeebeaccbebdbabebceddcaeaadececeabaebdecbdccbdddaaeccebaabdadbeccaacbdcdbbbbacedbdeacdccecacbdecedadddadeddcceecedbaaaabaceddbeacdceeaaadebeccbdeaadddbebebddeedeeecbeeaabaabbcdeccceebabdcddecbadaacacdcdedcbeccebccdeaeeeacbecdcaebabbabceabdccbdabdcaaacbedbcdbdeaaecabccacceeacbeabebcecedadebacdaaddeecaaeabeacaceaacbdcdbaacabeeabcbebeeeaaaaddbeededcdbedeaededbcdcbdcadaabeebcadebdabceedbacbecbddcaebaecaabacdeddcbacedeceadbeabedcadbbcdbecaebaceeabacccbcdcbbdadcaaccaddebeaaaeabdadeaebabcbeacdbbcbaecddabcdadabcdecbbedbccecccdcddcedeaababebaedcadbdddabdbdaaedacdeaedbdaadbbaebbcddaedaddeddaabbabcdceaedbaabdcbdabcdbedcdebbaaddeecbcbccacacaaaeaccecaabaaceddcbdaaddbbceadeaeaaecedebccaeacdcdccaeddeaacecdaedbbceadecbcdeaccbbaebceeaedadcceabedddeaeceaeebbeacbeaccdaeecdbeabaeeedeaddbcbcccecbdbeacbeedceaadbbbccaccecccddaccddcaddecdeceebdecadacdbcbeecabcaceacdeecbcabadeeebceacbeabcbbccddeaebbadadaabceaadbeaedbacadebaeaedaccbccdaebeaedbcacbeaeedbececddbdeaeddcebdbdebebcbeaecbdedccaaacbbedeececdcbedecbbccbeeccdccbcbbcdbddbcedadceedaaceedaebebcbecebceadebdecdadbbeadaabcaecdbdbccadacecaeccadbbdaebbbbaccebaabdedcbacbbddbeacacedcebadcbccbabdbdadbdbcbcbbededbaabbbddeeddebaaaaeccbdeeadebaeeebaeddebcadeeedcbebdbaccebbcdbcabbdbcadacddbdedeabdeaedcddbdbeabeabbecbcadacaceeddbbceaaaabdebaeecdebacabcdbacdcdacdbaceaccbbeebcddddebdbdeacbcdeaeddbbdbbcececdaddecedbedacbaeadaeccedeebdeeadbcabbaabcededdaccbbcbadeceecaacbbacdaecccaadeaabdaeddbadddcaebdbdbcbcaacdabacebcebbbaadbbaebdacaadceecddbdecdbdbaddaeccaaadaaedaeccecdaaabecedeaadbdbedeebaabaddedddeeeeedeaabdcdadcbcabccadbeaedddeabcbaaaeebaecccabbcacaaceebccebaceaeecaedbedbcbbcecceaabccccbadedbceebeedababdacbeacedeadbeabccaaccbabacdebcbbbcabbcadbedeeedddbaeccbbddaabbddbbdedebddeaaeccddaebcaedcbdecdeebdccdbbbebdddabeccaadebeaabeceabacdedecaadabeddadcaeeebedaaaedbabedbeebabedcdbdebbacdaebcabdbebebacbacaadaccceaeddbaecbbdcbeebccbbbdbdeaadedaddbddddbebddebbbdebedadddcadbaceccaedbbcbbcedecadbdabeeeddcadcbacedeaeecdbdacdadcacaaacdddcaacdacdcebddbaabbaccdceabaaceaeeaeebbeccbebbdabeabacbaebcdccdbdbdaccbdccaeeddcaeceecadcaaedcdaadacdeddbceaebdadcbbcbbbcaedadbeadcaeceebebbbabebbadecdeaaebcabbaadaebcbedbdebbacdbddaceaeadebbaaacccbecebeadaedbcaeaddbdcacbbddabddaebedeaabeacbbbadacaccdcbdabeeecddaecdaeabeabeeedadeadaaccecdcadccecdedbabacddadbbaebadccceeebebeedcdbaaeaacccdaecbbcacccebbbbeebbabaeeccccdeaeaddeddcbeaaacacddedeaddaeecebeadecadbbdaaabbeebbbdedcdcddbdacecabebabbeddcadaecddaacccaaeebedacbeaeedabbdbdbdcacaeedbcacadeaddccddabcdecbbeeacbaadaccbadbaacebacdcdddebddaaedaacbdbecceaebebaaacbcdccaeaecaccaddcdbecbbdbebcbbaebeabebcbddbeddeccdedccacadaeaccedaeacedaebaaceaaeeaeebebbcdceadbcaeacbbccaacecebeaebcebdeacebddbadaadaadbaedabdbcbeaceaabaebaddcaaeabbacbbaecdacededccbbeeaedbcebaaaeacadabdacadacedebdceedcaeabbeecedaaaddbecdbddcccbcdcccadabbadbeaabedeebcbabbdbbdcedaecedecddccabdcabadecaadcbcceedcaeeabcdcebbccbbceeaaabadeedecdbabacaabcececdddecbedccbdebdcddcdaebacbdebbabcacebbdecdaddcadddcadecacbcceecbcebeccbdabdadedeedadcdebedabcccecdaceacddadbaadcdacedbeaeecedbcbbdabdaedcceeabebdcaddabdcbabbddbddeddaceacdadaddbcbeadacccaabdbbcacedcdcdeacbeebedcdacbedeeaeaaaaebbaeabceadadcccaaaaaacbcededdadbccbeccdeeadbbaabbbbceebedeabeeeadbacbbbacdabbdbcaceccdcebeacaebbdeeddccadbedbcbabeabddadaebcedcdaecabcddadebecebbadbbcadbecdbbdaaccaeebabbdeeceaacedeceabbacddeeaceccebaecbaddaaeceaebdcbadabbbbaccedaaddebabeacaebccddccbabbcacabecaaddacacdcbcbcbbeebabebceabeccecadeddddbeeccbbbccdccdbaaebbaeeabdbceeddbbcceacbbbeabaaadcaaddbcdaccccbdaabadedbedbedcaeaaaceaceccceededecdecdaaaecdecdebdcdecaacdcebbbaadcabeecaeabccaebbecdceeeabadcdcabacecddbcaabcacbecccbceeecededdcabbebecddececeaabdaeacccebedbccbbbbcdbecaaeabdaecbacdabeeecbceaeccbeadebaacdbbcaebeadabaabaaeceaaeaacdeaedcaadbebbccddbdceeabceceedcbcbbedbebbacebdbcdbadcdbabacddcdaeebddedabaddbbeadaaeceaadaaacbbbddbbadeaddbdbbeedcaaacbadedddecddbdddebabbacdedeaabcbbdadecbbceeacbcabaaeccaaabaeabdadccbcabbcaacebcebebccadccebeeabeeaadcebdcdbeabbcabebecdcaeeaacdbcecbdbdabdabbbbaecddaedccbbebdabdcbadbbaeabbabcddbbcbedcebaeecacdcacbaabadcbbbbaaaacebdadeabeeacbbbeeaecabddedcddddeaedcbedaabeaaabeccbeacdbaadcaaeeacdcdecacaaaabbbedcbbcddcbbbcabebddebeccaaeeeabaacbaeddcdcdccaeadaecdaecdcbdbdcbccdcdeaceaaeeccaebbdacbcebcedaedebdccaddaebbccdcbbcaebebcbcecbdeaabddbdbaaedbbeabdeeaaceecbaadcacbeacceeccbbecdddaecacdbbcbddaecadcbdeaebacacabeeedabdcdbacdacddceedecccbcabeedcecbdbceacebdaaededdcaeadebdbdeacabcebcaebbabecbdbacebcdcceddccbcbcbddcbcddacdedbccdaeabceebbdaaadaaebaebcbbbadbcecebdcddbdbceabedaeceaacddeecabbbdaaccbbcebdaceddeceaaccdbbbbbcccabaacebdeeedcacdddbbeadaaaadabecceedabaaeabecebadebedeeadbdbeadddddcebdcdbadeddacbcabeaebdcedaeaceccddcadeccabedbedbbcbaeceabbbcedcadeccddaeceecbaddcbebebebedcceaaceeecdcadddacbcaaebcddcdbeeddaddcabeeabbdcbbdacbcababaebbcdbccdbacdecedceddccaedaeaaebeaccaeabeebabcdbaaeecccdbcadbcecdceedcddadadadcabeecdaabdececeeaaacebcbecbeebddeecaceaedecdaadbcdbbaabbddbaabcebcaabdaabaadcaedebebeacbacddaebbceccbcdacccedacbbdacededeaaaedebbcaebeabdeedbaabbbbceaebdbcbbcbebedecbbacbbbdcabdbcaeddcdaebbddaebacbcbaaecdcbacedaaadcbaadeddeeadebaeacecaeebbaadaebbaddbeadddbdcbbacaacbecceeddbebaaecabcebbaaeeacecebedcaadedadececdeeceeeaeeccdedcdbdccbbbcaedbdebdebbbebeaccacdccecdbdbdcecbdbdebaacdecebcedeaeeccdbdacdcbabbdaabcacacbbcccaaeaecebbebeecbeebbbaddcaebbceeabeeacdbebbaccdbbcbdacaaddacdcddbdaeddccadcccaebddcdeaadeadbdabccacdcedceaebbaebcaecddceaacebbbaabcadedbacbaecbedcaabbecedcaccaaddcbdadecaacaccbbdadbdcecdaceacebeceecbcdbbadbdcacabbbdedcdcbaabedcceaabdabedaccbacaebdbaceabbeabdadaacedbccecdcccdaaabbbbdcdbdababcecdbbdecaddecdcaccbabcdccaaecdbccdccceebbcbadacdecaeeebdbbceacdddeddaadaadbbaecbaecaedbeeaceeedaabdabcedbcebacdccedddbeadaaecbdeedbdedbcdbedbcdbcbabecaeeacacebbddeaccbacbcaaaeabeabacddbcebdbdeeeedeededdcbdddcabadbcbdcabbedabbaaeabecbdaaabecceedbcbbaaddbceacbabaaebdeeecdbbbaccdbaecabbaccaadaaecdbcccbdccdccdddbacaeabdcdecbcdddccececbabbcabeaedbabeecaddeeededddddbbdeccbdccabeeccababccaebdaedddcbdebdddeacbcabdceaadddebdceadedecaadabeecaeebccdcbecdedcadedbcdbbcbceeaddbddcabdeaecebaeebdbedddceecacebdadedbacebdbbecbacdbdbddccdcaeaeeaaceddacdcdcdaddcbaacacebabdaadcccaecccadcedcceeaadbedcbcecaaeacdecdababdcaeeeaebaaaaddaaadedacacedbcaeeeaeceacbbeedbdbebcbaceeaecdecdcedeaccbcecbaaeddeabdbabcecdacdabcceedbabbdccedaddcebbbdcacbcaaadcebebaaddbabcaccadacebecaebbdcaebcdddaeaecdaadebeaceaeeacacbbabeccdeaeaccccbabadbcaaeaadeabcddceebbdcdcbeadcdabcccbdaacaaeeaecbeddbbecdcdeeacdbadecbbcdcccdcccbaedccebceaebeeabeabebcbcebeabeeeadcecdeedabbebbdcbbbebabeaadbecdaacadaccdeddceebeeeebcabdacebeedeeedbbadaeeacbcbebbbeadcdddddceebcaceeadedaaeebcabbaacdccbdcbdaecceaccbbeacacdecebbeeacdecaabaccdadacddbdbaedaebaaabaeceeeaaaaebadeceadedabbaaecedadedccdbdbaeabcdeaaacececaebeaccaceadbdbabbcdcdbdbbbececbbabcbeaedcdbcdabbccecbdaecaddebcaddbcdcccadbbbecdbaedcabaebcacabeabedbbbedadbacceddcadcabbbbbcdbbdaceebdddcadcbebbeeeaaeebcbaddbcbdaaebceadcababaeacdaedaeeeccdeadecdaacadeceedeadcaeccebaaeecdeaeddeaeebedbccbacbabddeddedcadcdddacdaababbaaedabcabacebacacecdabcecebcaceeedecbbdceeddbacbddeebaececcaadcceaeaceecdacbebccecaacbcecccccedddcdddacaebaaacbcbecebaccbecaaddeedbcdecaeebaabcacdaecbddccecbebdacedcbcbaacecdabcdcbcabceedecbdabacbaddeaeddcacddcbebbcdeedaeeccbbeccdeaaddbbbeecadcecdbbbbceddaebadccbadeaccccacbcabeaedbedbacdcceabebaadadddddaccacccbaabbaebaaaacabebcaadbaacbbcecdadcbdacaabbcebcaadabcaeccaaadaeeeadccbecdbdbbcebecbbeccccdcddaeaacccdbcbdecddddbbaeceaccacbbedaecebedeecbecbebecbbbcdacedecabccbcbbeaccdcaabdcdbddeabeaceceaddbddccaebdeabbcebeabdadbcadbdddaeeccddceabcedaccabacadbcdeddcbbbecbddaeaedaeaddbbbdabedeacbabcbabbbddaaddeaabdeebaadecbbbecdbbaaebbbeabdeccebadcebbabdededabcedacbedebbbbbabddeeeebabeaeebadceaecbddbdaedeeeedacdabcaddebbabcabdbacbeedbbdbcdccddedaabcebccdabccacbbceeadddaeaadeaacdbbdabbecccadacecdbcdccabbebbabedbacdbcadcacccbaeaecabdebedecacdccbcebccabdaaaecedcdadacdaaaedecedecccaaaddbdecdddebecdbcccbacddaeebddeaebcecaaedaaebdcccaaabadaeebaebbeaabcccbaebadabdcbedaedbdedebdaaecaedaebbeedddacadcaabdcdddbcedcaccbcdddcbdadddcbcebcbdbadcbadedcdeeadccbecebaacaaeeebaaadceeddacdababaeaeeddeacdcaadcbadacaeecebbeaeddeedecdbacaeecabdbadaabcbaccbbbcdddacedddeeeebaabcbcdbbeadbbaecaedddeadddebabbccdbdabeddcddebecabcbdacbbeedaaaadbbecbccccceeddecbbeeebbdeabeedaddceeebceeaddadcbabbdddcadbbbbbdaadaddecbcedccaaecceddcebeabbceabceaabaedeadeeeccdcbeceabbaeaccaddcdaededecdceeebebcebacaebdaeaaecaddaeecccceceeabeadedadcabbabdeeeacdcbcbddbceeadadebadeeeaecbebedceacaecbdededabaccbabedbbcabcddabcaddecedbbdcbdedceeacaddbbbccadabdbdeaedeebaeecaeddabdbbbdcadbbbbdebedeecdbebecdcebddcbaabeecadcadedaacdcaeeacdbbdaedbcdbccbacdbedcecbbeddcdbdcddbdddddeaecceaaccebaeccdaddbadcccceecdeaabcbcbddaeeaecbceccebbedbdedaacdeedaccebbdacdbacbdbdccbccbacdcaeaadacbacaaeccbddbbadaabcecabbaccbeddaaabddeeabeeaecebdcddceccadbcaecddaaadacecbbeeadbdbdeecebabdeaebbabacadebddbceceddacddeacedecadcebaaeedecbaaebdedbeebebccdcacbaccddbabdbacebedbadacceaaceaadcbddceaabeaedacdeccaabcbbdcdeaececbcaedadcacecaedececcbadcbcdaceaddabeeddadbbdcececbaecbedbdaeccdebbadceeecaebcacababaebbedcdbbcadadbbbbbdbcbaabbaccbbcdbccdceedcbaacceabedcaadbabdbeadeeaeceadcbccbbeaebcbdadbacbbaacdadaecdedaccdddbddbdbadeeeebdecedbdaacdbbdecbeddacbcdedadeadbcbbdacbcaceddbaecaaddaacabdeeccebbaebddbddadcababcaedaecdeabeaeacbeedeccabebedccddccccccbeadddbbcaaaacaceecebaeaeceabbdcbdcaaebdcbceaecccdbaebebaccdbdbbebcedeebbbeeeeedbeebaccdcabecdccacebdeabaedcabbbbdccbacdbddbacdceeedeaacadceccbbcabaeadadebebcdacecbdcbadbaacceeaabcecbebaddaedbdcbdcbabcabdcdbbbebedecadbeadccdceaeaeececaacdeceaaddccadbecbbccecdccbccdddeecbccccddaddaccbddababbbacecddcaacbcdecbcecaeedceebccedaebbcbebcdaedaecadeadcdbcaaedbdcdbccabadeedccadbaddeebbcbbcabcabceeddaeeccebccdcbecabcbcbeedabbeaeeeeeaacebabbccedccdaceddbebbccdbbbdcddedaaabcbaccbecddaeacaddeeddadceecdaceccdaddbcdcaaaeccbacccedcadaececdeedbbcebaccceddeadccbbadcbabddbeccbacbcccdacabbddabddbeabcdcedcdadbdaccdbdaecdeabadbabaaedbceaedadcbdeddeecbbabaaadbbebecdbcaecddbcacdddcbbdcadecedabcceebcaeeccadbeacadddeabeaeebababadbabadaeebdadadaccecaeddaebdccedbedadcabbbccaedadedbdacceeddadddaabaddbecebedacecbeddaedaaaaadbcdabecbbeebbbccbbbdcbadababebbdddcbbeddeeabbecadbbeacdeddbbaadeeeabeeccbdabdceeebeeeabecbbebbecddecdbecdeddbcecdbccbbedcbdcecbcdcedecacdbedddeedaabdbccabacdaedabaeceeedabbcdbaaacbcddaccbeccbdcedaddbbedeceabbbeceaceeadaadedaadceeccabedaccedcdebbaabaeeccbedbbccaccdacaccdabceaadcecadbaddccedcadceeeeddceebbedbedcbcdbdacbeceeeacddeeeccbaeaedbdeccdecbdbaccebccdaacabceecccceedadecbddccedbdedadaaaccecceacaaecabbebbedeacdabadecedcbceacacccccaebbdecdedeeeacccacbbbceeeeaeeeeaccaceaacdcebbedadeccbddebabcecbcbcabddaabcbcabaedacebadccdaaccbbbecaacdadbcaacbdabadbeeebbcacdaadaacbebdcbccdcbdedcdcdaddeeedeecdbacaaadeaccaddcbbcceeacdbeacdcbdddeeedccbccaaaeedebaebdbcabdcceaabadbbacceabdcdcbebbcabaceadeceadebbccaeaddebcbabddaedeccacdbdeacaeabcaedaeebdbddddccbbedeebeaaebacccbedbbccadddddeaddbceadddecaabcabbabaaddacbeecabacaabcaccecdeddbceddcedbeaeaeceeeadbececebebcbdaedbccedceeccdcbeddcbccaeadcdabacecbdcccbcccbbcaeadbbdeeaeeaeeabacedddeaeacebaadcaacdcbbaeaceceacbbceaacbaccdcacdcbedadcecacddeadbadcceedbccbbaddacadaebbaccdecacbaeebedcacdcbebccbbbeebbcdeaebabdddaccecaccaacdabcbeddddbaaabeaecacbdccadddaccbcabcdccadebdeebadcccbaecedceeebbbaecbdaceedbebdeabbceacdacbacbdcdbedabdbadbbbddeadbbbbaedcdacadaaecdbedbceebaebbccdbeaaebeeccbdaacaaeadccceeeccccdeaedeccbeababbbcdcdeeabddeadbeaadcedcbdadacbeedbebceacbeaccabbcebeebbbcadaaaaeebcceabbaddcdaeebaaaacedbbaddedadecccdaaabaaebbaeabbeaeceddbeeacaeeacadaabedbeaecabbaeabeccbaacdbbcbdcdaadbaabceabdcbcaedccadcbadddaccaedeceadbacabacddddeaaaabdeaeecccbddeaedbcaddbdcacadecdbdcadaaaedadbbcbcaaeacdebbcbbbdcbbbaaccbbdadceaebacbcbabdeabdaeaecadaecceacdcabceebcaeecdbebdecedeebcabcaeaebcbbadddbcaaabbeccdeadbcaecbdbcdaddecbedbdbdaeeaeaceeeeaddabdcccdbbcdacdccdaaacaeceebdceddeebdceedddbedcddccdcbbaaeeccdcdcebeacbebedcbbecbbcbbeddcdcbbacbdaadccaaebecacaccaccaeaccaccbbabbbeedcccebebabaaaacaeedcdeaadadbdcbeedcebaccddbeaaeaaabbcdabdababecceedaecaddaedcabcaedccecbdbbbbaacbdcddeedaccbcbbaebdaeaecebdadcabbcadcdcaeeddcadbedccadcdbabbdbbbdcaabeeabcccbedcebcdedacbebbdaeaccbbbeccabbacbebcdaacacbbdcbddcacaabaebbbbdbaaaaacaddabebaedecdcdabbbdddbbaacadcbecebbaddacebbeacdacbbcaeacdceaedbabbdedbaebdaddccbcbbeabdaececaacbeccbaaceedbabdeebebdecacedccbdceccdebacdaecbabdabbcaccaebebaaebebebcaaebbeaebababcddcccebebaebdbeebedbebeeacdbecadccedeebabccdeacbacaaedddeecabaedacddbababecdbdbacadeddacabcbadeedcccecaecbeaebecadbdbbccaaddebedddbebccadddaddbddabaacdeeddbaaecdcdaebdbbbddaabbebbaeacebbcaeaeedcbbbaebaedaaccedeaaaceebacadababeadcceedcccdadddbabbaaceecbdcbbeeeeaabccebbabdbdbbedadbdbcccbccccacbbbceaebedccdeebbdceaeeabcdcccebcdaacebbcabdeecaebcdecccaacbdbcdecaaddbcdaaadeeededcdaaaceccedacceecbaadababdedddebdeeeecaedbacaeabbccbdeecdcddbeeaedacdcbeeedaacbdcaedebcebebdceccaedddaedadadbaaaededddedebcbdcbbccceccdebbcaaaadeebddbdeeddebbcdabccdcaeabbaedcaaaceceebddbddadeeeeaebaecacbcaaebeacacaaccdbebdacbbaccdedeedaeeaaacebedcecaeceeeeacacaccacdceacadabcbbbcebabdaedbebdaccecbabccbeeeeedccbdedcccaedcbecbaeebcddcbaceeebacbacadaebccbcabdaedccacedababdaedbbcdbbabdebbecdeccbdbbeadcbdaedeccbabccaeabcbaccbaadbbacbcdbbcbdeebdedbeecaedaebdbcdabbedeebdbcebbebededcccedddecdcbdacacececbdadbcaccbeebabdacbcdbacaddbaeaabdebaccbedaabecadeebeacbcdedcbecbdaebebeedaabecdedbcddcceadecceeaceddbcbabeeeadcacedabecbadabbcdbaedbdacbaddddeecaebdaccddeccccbbdaccebcbbbdbceaaadbcacecdadbccbaddaaecdaadeabbcbabecdaceaabcebebcacebaebbbcbcdeccdeaceebcceaecbddbedbdaaabdaaeaacaebaddcadddccaeddcdceadddcbbcbbccbcbeceaaaddecbdedeabdccabddcadeddbbaeeabeeaebceebbdabbcbbebdbbbaeddebdcdeebabeeeddcbacbbbeedaecdbdbecbcdbdcadddebaaadccaedceccdebadddbaeabcedcbaacabbcccddcbceebbaeccdaedeccbbacdbaaeaeaabadcbcbdeaaedbaebacedeedacaebecaeaeabdeedeaeccadebdaebebcaacadaeaacdcaaedaddccdebaebaedacdcaecbbecdddaebcbceacecebdeaddbbaceadebeaebeacceeacacdceecbbbbaaabcddaacbbbbeeaedbecaaaaddddbeedccedededadbaedeaedcdbedbcdbdadcbeeeacdeabdbeadebcccbdadbeaabdebdadaeebbaceeaddbecbcaeacaebcdcedaebddbedabbcdeaadcdaaedbeebdacacecbaedbbcbbccaeeacddbdecdaddbadcdaeddabbadccacdccbeabebcebadbccaebbdbccadedcbaaebdcdbdcacaedcaacabbaadacbdbbdeadacabaabbbcdeeeddededaebcccbbdebdbcbbbeceedadebdcaaeddadbecacdadbcceebcebbedebabbbcecedbdaaebbcbbbdcdadeecedcbecebacbccbeccaeabdadebbadebcceaaaabdccaedeaaacdaebaecdedcbbedeaaeaedcecddaeadeacbbeaadebeecbdacdaabaededeacdcacbeddbdcaedddabddbaedaabababaababbacdccbbbeabbcadddaeadcacdcedbaebeabeaecedbdcacbccdedbedcaeccebbacadbaaecccacaddcdadeeccbadeeedbdecdbddaddecececebdeacbccacdaaceedcbacaeddadbbbdddabdbebdbcaecbdcabccdeebaaaadacbeeacabbaeecdaaaedeacbbeaeaeadcabbbaddceaebeddbabceeaccdeadedcaabbbacdebbaaaabcbccaaddbebedecbddeeedebcbcdeeedebdcdadcaeeccdacbddddbadedbbdcbbecbcaadbbbecbbeadaecbbdbeeebdceddcacabbbdaacbcdcaadddcbdbadacaeaedcacdacdbdddeeceaacaecdabaddcbaccaceecacbaeddedeaddbecadbcdccaabeeecbcaddacecbbbcbbecdbedddadcaeeabbbabcdecdeeaadaabeeaedabceaebceabebcbeaeadeecacedeeaebecbdabebbabccbaadbedbdaeecaddbbcbccacccabdeeabebdddaaeadbbdeecbdbcdacdaeaedcdcaeddebeaaebccadeeabacbdacbdaeadabcebabedcabcabdaddccbacecadbceccadceaedbbadbecacaacbecaccddceeacebbebacbcbeebadbaadaabdbbeaedeaecedeeabeebbebebdabeecbbeecabcacebaebbbaecccbcbebdbeedaeaccababecbccbebdbaeceacceaaccbcdabeacadaeeeaddcdbdddcebcaedcdbdddecdabecaccaedccabedbdadeeddcbeacbeeecbaedccbdedebdccbcdbbabdcabccacadddabdedaebdccdeceabbdbcabddbeccdccbbcdcdcacdbeaeeaaabdccaecdccebadaededaaadeccbbededceeccbebabbdedcacbeecdcccbdeddeeaaaaeeadbabbbedcccbccecabcacdbdccaabebacdceeaacebedbddbaaaceacadddacddebdabcccddaadcdbcaceaeacdabbebdcaabcaedcdedcabedddbbadccbdbcccbaadbcebccabebbbcabbeeacdaecaccdaabacbebeaeddaeccebdaececddaabdebebedddadacddedcdaddbbcdccdbaaadaacabbaeacdeedeeedbdcacdecadbeeaaeedcaaddbadddacaddacdddacaebddaceeddeadebcccdaaaadcabbdbbbdedabcbddaebadbdcdcbddceabaceaeeddcdebccdecdabcebaaaadcdcabdedbbeabbddbbbaaabcedeaacdcdebcedaeddecbdbdecceceeaeddebcdeeaddcacececbdaeebcaecebcddbdcedceddababaccdccdbbcbcedaadcabbaaddeaadddaebeebaeacebbdcadcceaebdbabddceeaedeedcccedbbcdaadbbaeeaabccebacbbbbaadcaaaccdbcbaeeebdcdbedabbcbceecbedcbcbbbdbdaacdabddedaaecdeccbbdbddeabcadadeceeddadaaebedcbdecdecdbcbecacebeaceaacbcadbabaddabeddecaceececdecadbcaccdcccbdacccbdcdccabadcadedcbceaedebbbabbacdadcdcbaebadeceedccaacccaeeaacbabacaaebadeabcedbadddeecdcdbcccaabedaaaecddcedcabceeceaeceaabeddaaabaedecdcdaaeceedcbedbbbecabccebbdeaaabcdbabdeeecaeebaccdbeeebcadbdbacebdaaabcbacebebabedccdeaebbaeecdebcaabdcdebbbbbcebbbacdddbdedddeeddbabbbdeaeabbcdbecbecebbeabdbaaeaebbcacaeeddcdacddccccbaddbadeceacdcbbbcedceddedcacbadddbbddebdbdadebcbbacdeacebdbbacacbedeedcebddcddebddebbeeeeaadaaddcbbeeaeeedcbcabaddcbceaacdcbbeceacbdddaccabcdbacdbbbaccecedecadadeadbedaaeadddabcbbacbacdaecccbbebacacccecbaecddeddadcabeebecceebbdcebcaabeadebcedaadbdacecdaceaddcdcbceeabeaabeaabcbadccaccbcacacdeeacccdeabaaacccbdcaccceddcedbbebbcbccdccedcedcbaaedaebbbdaadaadbdcabcddbdeccededcdbbeeebeeebadbdbccbbabeceaaeccebaaeecaecbccabcabbbbeaaaeeceaebadababdeeedadadcebbdeeeadecaabdcddaaaabcccadbddabcdcdcbbdbddacbdeeacbddabccbbedccadbebeddebecbbdbecbcdbddaecebdaacacaeccbbacccdedadddbcdbbebdededebcccbedadccabeabcecaedebaaccdeabebdedaabacceedaeeacdceeabaaebdbbaaebdecbbebbddccecaedebddbcacabdbdeeacecebabeabeebeeebdccbceccecdbbcaaebdacaebbaeeccdacdccbccecaabecbaaeeccedddbebeeadddbebceeadcedcacecebbcadbdaeeaebeccadcbccaacecadcaabeeeeedcbbdbadceccaacacdcacbdadadcacbebdccdccdbcecbeacebbdddccbbdecadabeccccbebddaaabecabdaaabbbdbbdbadcdbdccdeebeaecbbabaaaddccadaddedbbddecbcabdadbbccdcdeacebeceedbbeeaebdcedeeaabedeeaecdeabcdebedeadcdedecceaedcacecabcedcdeeedeeddccbdbdbdbaaabbecdcbddcbebbcccdddacccbceedaaabddbbceacecdeceaacddeccaccebceadddcabadaadeacecccebaccdccbddecdbbdcedbdddaecccdddecdbedceebacdcddbcedbdecdcbdbabbedcecbbaaadaddbbcebeedeaeababbdbdcbbccdaeeeeaceeabeccedadabecedadbeedcadacbceeddecdeacbdceccededeadaaedaeabbadbcbeacabdeeceecddbddcabebabdaabeeeabdcabedaabebaaebeebeedebcecccecebaadeabaccabdeadeaaecedbebbdcdbbbcbcaccddbdbcedaddddbddabbdecbecddebdbdaedeacbabaabdabccbdadbcccbcebbeeabcdbedadcccdabbacabcebeeabaccccaeaebdebcacddabdaeaacaecdcedabeaeceacdabeadedeceeacdbbabdbabdbbbaaadebdeecbcdacacecedbcecdddbeadcddedddddebdeeeccbdbcaceaadedbcaeddbddbceeeabbeedaeaeacbecccdbdacacccdbacdeacccecdecdaaddadadcaeecdcabddbcdccdebdeeedadcacbcedeceecedaceaeeccacaccdabacbdbcdbaceabbbaceeeacaececcecaebdeaebadaedddddacceceecbdecceddbcdeecbdebadcbcbdeebedacebcddcaeaeccdcdbceaabaeccbdaacaeabebcabddbadbddaeadedcdadaeceeacbbcdaeccdbedaaacdcebeeccdeccebbdbeaecbdbabeacceaccabaebcaddccabcceecdabbcebecccedbcbbcabdebdadaeeadbacdeeedaedbecedabceeaeddacddededeeccdadadecddebeddccdeeedaeeecaeedccabbbdddecbedbbbdedddcbbcdecbeebbbeeadacbcdcabbbadebedaceeebecdabbdcbebdaaabdaabdbbcdedbadceaaeaddabacccaaeeaccaaeebdbabddccbcedccebccdbaacadddcbbbbacbcbeababbdeecebeaaadbecdebedaecbbadcecbabeaaabecddcadedcdacdaabbbadaaabddddbdaacbaebcbcddbaecedccebcdbcdadacdbbadabcddecadddcacaeaacbacbcdebcaedcaddbbadddcabbedabecaeecbcaddbbddbeaeadaebcddedaeadaabeedbebaceabedeabdcebaebdeedccabdadeebceaceaadccdbcadcaecdadcdeadcccbacaecbcaaaebacaabbaddbeecaaedcbdbddadbcecdebaeedcccdccccbaecbcacbaedceabadabccdadaeecededeaecbbbaddbaadccbecdbabebadaaacdeaacddbccabebdccdedcbdbcdebdadeeedadabcbbceabedbcbeeddceecccaeabbebecaabecdcbabbeebcdadecacbdcddabeebaaecbaddabadddbbbecbbbbdacedaebacadeaddecaaddecdaeccacdccabdabeabeedebbbccd
c c 99921
b b 99935
b d 99974
a e 99986
c d 99921