0
1
mirror of https://git.sb/baoshuo/OI-codes.git synced 2024-12-26 19:52:03 +00:00
OI-codes/S2OJ/1694/data/anc29.in

2 lines
49 KiB (Stored with Git LFS)
Plaintext

ceecdadacbcdabbdeabdebdadabddecdeddaedddcbebcabdeedabbeddcbdeebaddcaccebecdeacaeeacdacaedadebaccaabdaadbeecedeaceddddbdedbabbabdbcaebebbacaceaddaaebabddabecebdcaaacceedaadeaccbabeadbecdeacdaadebaeadbceebeeeeedcceaccbaacadedaddbbeaeababadebabddedcedecddadbedbccccbcbdebaaaeddaeebcdcbdddabcaececcbcabcbabdcededdddabbeebabededeadadabddcdedcbdabdaadabceacddbacdbcedbeceaedcbdbcebcdddababebdebcdbedacbecededeabcebaaeadecaaadbecabbbaeeaebbaaeecbebdeaebcdebdbcbbaaedaeedabdbacbaebcabbeacedbdaabddceaabcdcbeadddbacbbdbcdabbdbaceadbccbbaacedeebabababbcecceebcebcabececdbbbaabbcbbbdeeabaedddcaeecddbbeabbaecedbeccaabdeecaddceabeceadedaeaabeebeddbadcbecceeeeaaecaadcebecbaabaddecbcaecbdddecddddaecbedeebeadabededaddacccadbabdacbddacddeadaecbaedcbacdeabdeacaecbeebcbabacbbceeeeccebdbccabbbdbdcdbedacccdedebabbccccbccdcbacacadeacaeaddebbdbabbaaadaaebeabdceeddbdbbdbedbedbbccecbdccadcccebaabcabbedccaceeeddccdeeedbbcadacddddbacacedcebdbacaabacdbcabeedeebbaededaacabcaaadcaaabebaeedebbccebbbbdcbebcdbdbbcdebceaccdbacebedbeaaddebebdbddceababcceecbccbebbadceadaaeaecacddebadaeddaceddccacacdaebecdabeeaecdcdcdccddbabdbeaaebedcececdabebabeecbcacdecadcedbcadbabdbadbbdcecaacbbcccadbaeecebadcebbdaebeeedcaaabdcebceabcaeeaadededaccedccadebbacaceedcdaeecbbabcaaeaceaecedcbecadcacaedcceeeadebbbcddabaedadeebdadbdaebdcebeaceeeadadaccecccecdedacdeeaacacecbdcdceebdbbeddddbdbbdccbcbcbecadeaeaccaeaeedabaaaddbecacacecacbbdcabeeaebaebbdacaddbedbeadaebbebaabcdacdaecdceddeacdcbeaddadbcaddedddecdebadceedbcedacdddadcabaebbbbecbbdcbbbcdbdadbdbcdacebbbdbceddbbbdbaeabadbbddaeeabaeaadcbbdcedbabadedebeceebecbeeaedacbdbddaaaddcadedeabaaeadeceeebdbeaaeedabcacaedededcaeebadbbdcaaaebcbadebbbaaabeadeebebeabdaebdbbacadaadbaadeadebdaeebadcdaceabaabedabcabdcccccccbebdebdaaeeeeaabbddeddeacbbadedbdeaabdcbbaddaedeaebddeedbabbcbdbcaededaeadaeedcdaadbcceeeaaebdadcbeccacedcddeabbccacadeacecbedbccbeccceaebdbedacccccdbddcdddddbddabcaebaaedcdedacebadcccabbcbeeaababaabbeedddaaeacbebadebadeebcdbdbadaceadccccbabdcbcddeeeccaaaaacaaeebbbccdacbbbdbacaeeeebccddbbaececedcbbcdcecabcebbedceaaecbacccdaecdeaebdecebdddadcbeccbabadbceeddcedcaeacccdadacdeebdeddceaaabacdbbbebdadbaaecadadaaaaddbcccedccceaeddbbcdbcadbcaabbdeaccbdbccebeacbabbdaaabadbecccdcbcabdabacaecdccdaedeaacecaeeadacdaceebaaadcdbeddbebbdcaebadaabccebeebeccacaabbecccdcaddaccdcedcbabdaabcecdaeadddcdebbaeacebcadecdcbcbabdeeaccddacdbdbeeaeccaebabdebedadadecbcbcbdbaddcdcbabbabcdebcaaccacedecebaceaaaccdddcccbccdbccdabdbaabeddacdedacbddacdcbecdebcddccddccdadeabbeecaccaccdcadcbecbecaacedacbbaeacacdbdeddaaaedacadceadaabccadeeaecbcbbebccccacadbdbcecdedebabbeeeeeccbbddcbaaddcbaaabebcacbbebabaccddedacbbaecbcbbabdeceabecdcecdcdeebbddecbadbbcabdeabeddecccacbbabeabadaecdbcbdbeeddabacbadbcbbeabbccddedeaeebedaaecdcccccdeabbabebebebddaaadedeccaedbceaaadebcaebdaedabaeebbcbbaddaccbdaabcbeadbaeaddbbddadadadbebbeddbedbbaeaadebceccdaaabbdbabbdbcaaebadcdcbcddaedbdcbdebcecbecaeceaabdceecbacdccddcdceaabacddadbdcbdedabebdbedbecebbeedeebecdaaeedccbcccabeaadabdcaabeccbcdacabadccecbbbdbeecbbeeacdabbbeeacbdaabdcebddaeadddedebceebddebcebdbbbcddceecbbadeedadbdedceaeedacbddcbcbcccaaabeeceaeeccccacbbdbdcedeaddacacbaeebebcdaccbdecacccaaaaedeadbadcdebddccaabedeedabebdbebdaecaaaeebcbaccdbadeccbdcdeaaeebbcacebbccedbedbeecadddedcdbdccabeebbaaaddcbcdaaabedaaacbbdadbbaececadddddeebdacdabeeedbdccbeebeabcecebbabbdabbddeddacbebeebddcedcabbedadacbcddcdebddebcacbcbbbbaecdbecaaccaccddeddceaaceebacadedbedbcbddcabaabcacddccadeebcbeaabbadcbadcabebacccebccaebdddcabdbcbdccceacabbaecbadbacebeebeedebbdaababaeebeebbbdbababdabacdbddeecbbdeeaceccbcebadcdcebabbaeeeacbaedccaeeaecacaaccabcaaeaecaebecbeabbedaabdeadbbaceceeacbeecedcadbbdcbebecaedeabddeedcecccadacbdaabbaaceeceeaadcebeeeabcbaddeacdebbedceddeabebaeeeadaaeceecbabeeaaddeabededaebbaaedcddbdbeababecdcbedacacecbeacbcebbecabdaaacbeecbdcebcdebdabcdbaeeadeccddedecababcbedbdecebcdaebddceeddbebebdbdedacaedeeccbdaccbeedbbebbddabdbaeaaeebeebbcbbeadddebeeeadceceacdbcbedebbbbcdaeacbacedeccaeaaedcdebeeeebaeebeadedbdbbbdcddbaedbbbbcabeabcaaacaadceccdcabcadcdcacbdeebeabccccbcebbcccabbbbbcdbcdcbbcebbdcecceccadbbabbceaebacedadcabcbceddbdadddadbaccbcebaccdcacbcbeaabdbbbcdcdbeceabdcbdcacacbedcaaccbbdcdaedbcacddedadbaddcdacaabaaceeeebeeebcdbbdabaddbdeeedbbccedabdbadebedbdcacccabbcdbcabdabeccaddabeddaaaaaeecdcedaeeaebdaddcdccbdebcdbcbeadedbeccbeeaedbecbbaaeebedbdeabddcccabaecdcbcbcdcdbdbdbeadeddedbedeebdcacdbadbcabeeebdbdcdaacddaeaddaaadcbbdcdaeeeaecdadbaccbadadebebabeccaaecadaddcdabbebddcdceababcebbdccaceebeebbdedbeacbdaaeadccdbaceeabebaacacdcecdccebaeedcbcdbdaacbecdbbbbaadcaaaccaecbeecabeddbababeaddedbecabbdbceabdddbdbcaebccbbccdbabceecdddbceecbbdedbbadbabedebbdcbcdbcaebcccbecdcdacdedbbbabdbdaaceeeecbdacecaceacbcbbeaceabadecbacecbdaaeaaeebabbeeceedadeebbcbcadcdbdeeccabdbebbccbbecdaecbeddccdabbbadcdcdcdaeebbeacdebbcdeaeaaccbcabebdedbaaaedbaddaeaecedaeccecdbcacbdacecdecbaaabbecbddaaedbcbeedbbebdebbeceaeacaedcceeaabdacedcbcccaaadddaddaaadcbbbbeecbadbbdcbbcbcccaddaaccbebadeceadbdadeadbebeaabcdceebbcdeabeeaedebbdcabeebacaebadbcdcdbbebedaddaaaaaccacebcacdeadebcddccaaacdeebeeaddbdbeacacaabbaeaecebbaedebceebbbaaceecbabbddceebaacebbacdecebaadebaebaeabadababeaddccabdbecbcbdbccadcacebacbbeeadebdabdccacddebdbebceeedaccebcceeedbdbeaacbbdeaeaaddedeecdbacdaedebecdacabaeacedaabadcebacaecdadadecdeebcabdeaadbcdbdbbacdcbdcddaaaeaecadaaeacbcecebbebdddbccaddaadeebaebcbcdebecbeddaddedbddbcbbcacebdabcecacbdbaeddacdbedebbeaaaadeddaaeedddaeeecdccdadcebacabedceedbdadecadabaaaebaddbeadbdeabdedcecacbdcbaabbeddadddcabebaadceebcabbbdadaecebaaedebcbdeaabedddbadabdebdbebdadaadbabeecdaadbecbadcecbdaaccbbbecebaadbaaaaecbaaccbaaddaedeeceebdddacbbceebadccdecbdabbccdacbedeecdcaccbeaaadbaabebebeeabbcdddeacdabecdbbbeeeddceeeeccddccaadeaeedddbebbceaaabceabcbcdcdebecaaccdbbebbcdeebdedeedecbccaaaeddaaaeaadcbecbbccacdbbeeeaeeaabcabaceddeddacbaeddbdbbecbbcecabeacbacccedcdccddacbbabbeaadadbebccabacdbabbbaaebcbcedcebedaedbacccbecacacdacedbabdaceeeabaddacdbbbabaeedabbceecccbebccbacddabedebecbabdebaabdcbdbacbdcebeacdaecdccabbebedbddbbbeabdcaededbacedcedddaebacebebebdcaddabedadaeecaadebcacbaacdbcbecbbadcdccecdcaecaeebeebadbebacbdabaaaacaacbaddddaebcaaabbedcadbcaaabdedaeededebdcadddaddebdaddccceedeeeabbcababaacdbcddcddceaeaabeecadedeededdcaecebeeedeccbacaebdaaccebacdaaecaccbddbcdbeaeabccbbddbaceeacaeaedcbedbcccdcebbcaabebabababcabdbbabedbeeecdcebeeedaabddccaaaccbbcacdeabedbdaeeccaaacabdedeedccaeeccbbecdbcebbddcedbbceaadaaabacbecadbbaceadebeecacceadedecbaaabdaddedbbbabbdbcaeaeedcbbbbbdabacbdcbdabcbdddddbccaaecaedeebaacbdaeddcececdeaededeaeddacceecbbacaabddbdebdcbbeceeecedbaebbeeeaecedebedaeaecdabadadadbabcbcabcbdbbeadcbebabedaeeeeadadbecbebddebedbdcccbbcacccaececaccdbaaecbceececdcccdeecccacdbbcaecbeceaadecbcbcbddeaedcdabdcedacdbeecccaeadeabcacebcadbaddecacabbdadbbbcabeeeeabcaedaedacdebbbdecaccaebdaececcbedebcceebcaddbebecbdbcaceecbacaecdbbadeeecbcbcacbabaaabebdaabeaebbadedbedbcbdccbdceccedbddbcdcddecaaaececcdebececacddeecebabacddedbcdaaccebaecaeccdbbabdcdaebbeeaacabeabdaabcbadedecdebcabdbecbcdcbbcbaacbeadbaadbdadaadacbbcbaabbebddeccdeeeacaccbbeaaadcacacedadbcacebebdabaeecbbaaebbdbbdaaaabaadddcaecbdadbceacadbdaeaeedcecdebaadabddccaacbeddeddceebcddbcdebadececdbcddbaceaebddccacddecdccbaacdcbaccdabcbcedbeeecdddedcececdcceeebebabaadedcebcaaceaeeebadebeccaedbccedeeeabbedbcecddecdbdbebabdeaacacaccecadddaccaaaaadcdbceabdbadcdcbddaabaabdbadaaddddcbbbaeadcacbacdbeeddeacbbaeeebebabcecdcbccacaeeccdadceeceeacabdcbbcdadeadeaacbbcbaebadabcdbdaeaecbdadacabaeabcdebaeaebbdbeeecdccedacebdbaebabcacbecacbaeedbdbeaeadbceceaecadacedabcaedcdadcbddbbecdedbedbacbbdeebeeacbcdbebacdcabdbbaeedcdeebecbdddabccbbeddabcaaceaebcdcbebbccbaeeeecbdbbaebeccbecabeebceebbccecaaccbdbcdbbbebbceebeebcecccbdecbcedcaabbadcbdebdceaeacecddeabdeeaeccebceedaebaadcdaeeeeaabebeecccdceeebbdbdabbabaaedbcbaaabccbbeacbdbeebeecdcbeecbeabdebbeedaebadaddebedabbbcaaaadebbeaedbedbbdccbecbbbcbabecbbcbbaaccacbccbcdeadccaecaaaaccbbdedaeedcaecaacdcdbbadbdbaceecaccbddecccbdcbcaacacddbccecccdaaaacbbcdeabcbbabeedbbacacceeebdaececddbdebddadecaababcbeebaecbbaaebbecdcdebbddeacedeaeadaeecbbadecebdeeeebcbbcbceadeaaedccebebeaeccbeacbcabaabbcdebcebaacadbdecbdbedcbbccedbbdbeaedacbdededbeacaebbeccaeeeecdcbedcddabbeaedddcaadcedbdcedbdbccaadadecbbbdcacebdaaaebbbbaaaedebaedcdeeeadecaecddcdeaeddadacdcbcbdcebccceeeacceaaeeaadcdcabdbcececaebbbccebbebbadaabdbccaebbeaaaddceedaeabceadececbdceebaacddcaedcbcddecceebddcdbeabbbacabadcdcabccbcccdaaeabddbaedbadcbdbedaadadceeaccdecdbbacedcdccdbcabcedbabecbbacaccbdbbabddccdeeccaebeacabceabbbcbbeedcadbcedbbeecdbbeedaaedacdcbaeaabceabedbccddceaccbbbcddbdcaddaeeaeadbccbaadbdbecbdddaccccccccdeabcddbecdcbdeabeedeceeccddabbcdedacaaceadbeaaaebdcbdaabbacbedeacbecccdbbbaadcedebdbdceebeddcdabdeeebeadcbaaeecbedadacecbccebdcedcbdacbbecbdccacceabdaabbddbcebbbababaccbbddeeeacbecaaeedcebbdccacaeadcaeebdacdcccebeeebbaccdecbdcdcabecadcabacaecdccbcabbeddededbbbaabcaaeecccaacbacbccdcacceddcbceaeadcceebbcddededdbeedacabcedebaeadccccceeaccaeaeabecebedacdbcbdbaedcaeeaebbcaaeedebeececbdeddaaeecdbaaaebaeceebddeecabddddcbdceeebbaaadebaeaacbdcccdbeadbbebabdcecbcedaadcbdbdaaeccabcededeeacbedeaeccacecedccaeebaaadcabcecdbdbdcaadeccaaeaaacacdbebddebecaceedcacaeeaeeedaaabbbeeaadaaadabdbbaddcbcebaeadccbebbdebdaaadbddabaaeaecaacbbeedadbaaebceecaabcebecaeaceaccbbdddaccbbbbaaaaaeaeaadbebccaeededcbebbbcacbadecbbcccecebbeccbdebcecbdbaadcddacceceddeccbeecccaccbccebeebbadaedcdaecbbcdbbbcdcbebabedcbaeadacdacedccdedddccbdabaeabcdbceecaccbecdaccaaacbeaabcbbadcaedcedbeadacedddaaabeabcecbccbbcddcebbccccbaecbbbeaedadcadbcccdcdbedbececdcbebdaebbdadababbcbeccddadaeccaccceedceadbaccdeaeccceaaecdeceabddadddcbdadcbdaaeecadcaccaeabdeddbebadeadacacbbeaedcabdedebdeaadbdabcccdbaccebdabacdbbacecbbeabeebbccbecebeebdcaeaacddcbabccbacabcecaccbbdaaedabddedaddcbcabaebeaadbbebecabdececeedbacabcadbeaaacabcaabcbdadebadadeaaaeedceeebbedaaccadeaaabebcbebadecccaeabaeacdeebabdabdbddbebbaaaeedccedcbcddbebdbbcbcbaacecaedaeebcdbcbdceacbbdeadbabeabdccaaabecaeaeceaaaececeaebbeededebdebbadcdaccbeabdebdbeedebdaaadaebbbaccedbddaeeabddadbcbacadebeecdbacaddeabdacbcbdacdaeacbcbbeceaaabebbabacaccbcebbeabbcdeeacdeeecdbabceccdebeccbaabbacbbbbecececabdeadadbbcdddbbeadbdcbcadababbdebedeedceddeaadcdacaccbeabcdbccdeeadeabedebabcdededaacddadaddaebaaacaceecacdbdcdcdcdccbdbbeacaeeebcccacaccdccdabcebbbcadcacbaadadaeaaddaaadebabdcadbdeadaaaeddbdeeaacaacbcccebcaebbdbeabcbdbcebbddcddacdcbbacbbbdbbcddbdaadddeeacecaeaceacaeaebbadacbceebadcadcbeabaedcedceaceebacbddabeadadebeacceeadeececcbdbccaccaccbeaacdccacecdedededceaccbcedacabaeaccddbcdbabcaaecabbaacbadaccceeecdcbbbebdeccbecabeeddecdbbbaadacacedebaabddbceaeacddcebceaccdcaebbdaaacbceedcdcdcddabbcecbdcecbbeadaababcddeebbaaaaceccebbdabceaadececbdcdadeaeedeadecdecbadddbedcdeaebededaacdaecdcabebbdebbbadebddabacedcebcadadcdcceeabacdbadecececcdaeddadaeacbdddaebcbecbadcedcbeaeadbdeacbbcabecdddccdcecdbecbadcdddbbcbbbabddcaceeacedeccdbeabdaeeeacddedabaedddbbbbeddeaeeeccddddbaaecdbecaeeebeeebaaceddbaaaccdbbcbeaabceeaabbadaebaabcbceddceabeaaebceaaaeacecebabdadcebeaaeacdeddedbabdddcaaebbccacecbabcebbbabcaabeeaecddbeabcecbabbdcaaddbbeddbcabdbaecaaedabcacaacccadcebebcdcadeacededdddaecbebdbcecbcaabcbccbceaddbbddeaeecaabdecdcadeecccceeedadaeddcebecccdeaabbcaeaeedadcaadebdbabcdeecbdaecbebeedeaceeecdeaeebbdadcebabedcebeeabbaedaecbcdbaadebcbececacdcaedaeeedebdbaaeeceddcacbbeabaddecececcdabccdcbcdadadcbcebcdcbeeecddaddeacaadedcaccadaeabaddbedcdcddbbdbbcddadedcddbddbaebaeacedcbdedebdbcbbecbeaaaadedbbceaebabadabdddcebacccbceaeacaddbcbecdcdcadabeeadcbabcdebbdbdbbaeabadbcdbcecdcbecdcebcdcdcdcaecbaaddecbebddedbbebecaedcbccdabeceeabaabaeabcaebbbbdecaacbedeedbeeeeededbdbeaedabecadddbaecbbccaaedacaaeacddddaeebbaeccaebcacecedebebaddccccacccccdaacbcbebebbbabbededdecbbdcacedaaeabdcbcaacbcbcaaceacacacadbcedeebaeededbeadeccdceddebeabacadbaebcddaebacdbbecbeedbcddbedaadbcbbabbaacebdedacbcaddbebbaadbaebddcdccdcdcdcacebecadadaabaeececdebcdaabaaabdeaecabbededeebddebbddbddecdedceedddeecaacdaedceddabdccbaaddbcbebbabbcdacdebcadeccbcccdceededcbcdbbbcedbcabbdbdbebecaacecbbdbeccbbaeedecadcaedecbecddeebecceceebaedaaabaebeabddcdaeeddacdcbdcdebbbaeebbddedeadccdedadcaddbcdabcbccdccdaaaacdcccbdeabdbebaecbdeccacdaedeeadeacbdaaeccedebcacadedddadabecdedcabddbdaceabbeadcbebdbbaeaccdbdcadbcdcdadcbdadaeeedecbccdabaaedaabecebcbbcaeedbbccdaaebaeabcdeededdadcacdddadaaebebcededbdbdcbaedebebeecceeebbdcbcbbeeabebaabbbddbbecabbcdcdadcaacdaaccedeadeaebdcebdaeaaacadebcbcdcecbcdbacbaaadccceddbbaadaceecabdaabdaacbaccaeadebebdbbeddcaacdbbbbcccdeeeacabbbeebaaebbeacceccadaadbcebebcdcdcbececadbbbbeddcaaabdccbacacecbacedcbcdbaaeeebbaacdcdebbcbdebecaacbbacedadecddeccacbeceadbcbcbedddedbdeaeddaaccbbabbbecdcbdacebccacecbadbaadddddcddccbecaedcbebadaeecbaecebcccadbbabedcaaddbdabaaacbadeeecacabaddcccddacdcbaebabbedcccceeebaaccdababbdbbdbdacecbcbeaddbdeadebedbdcdbddcddaabacaddbbecccaadacbeceeadaebbcbebaabbabaaceadabeabeaaeabeaddbeceaebbdabcedcadddebaaacedecdbaacadabeeaaaaaaceaacdcbddabcabadadedecdeadaeceabbdbbbadecbadbdebbaedeebaddacbeaadaaecbbeedcaeecdadccdcceaaeebcdcdaadbecddecabbdbdaebbcbadbbcdeaeaacbccabbccddedabadbdcbdbbbaaaadbebbceeaabceccdbdcddccbcdbbeaeccbbccebaaadebedebddddacbeceaaaddbadeceebacbabaaebcbcbeebbadaeedddedeedcdadecdedbaceecebbeadaeabbdcccaedcaaebbdbebcaddaaabdeddceeceacdedadaabdceeccccccdbeaadccbbdaaddaebdeaaecdaebdaaeceecbeddcaaabecaaaedbddbbecedaddbbbdcbebacceebbbaddebeaddbbbedeadccacaaacaaedcbbeceeabaeadbccbadbdeeeccbeeadccdaaecbcadaabaceaedddccdabebcdbbddcddbdaeeeadedacaaaeccddddbecccdececccddcdaddadbbcdedbdedccdeedaceceececbbdbcddaaccbeecceeaeeebbabeddbbaadacadccaccecdaaceaaaddadabdedaedbbbeddbdecacebdbeddbebddbcaebecdeddeacdadadeaedbdaccabceebecdceccedcedbcacaebaabedbcabedcbaacaeceeeabaabebaadaeaebcebbebebcebbabcdedbabdeccadbbbccdecbaddeaddadbeecbaabcdadbcecacdccbacdbbeeaedadcdaccbcacaabbeabcebaabecbcccddeacabedbebbaedabaabebadacebcbadceccedaeaebadbaebdeaaadadacdebdcacebbaeacbbeaccacbeadbbdaceedaaeecbbbaeacdaadbebbacbaadbadacaabedbbbadaaceebbdbbeaeecdadbbdbedeadbedbdbcbecbbdcaabadceccdcabdcbebeccedcebecdbcbbabdaeeebddabedaedcdcabdeebbcccbeebccaacaecbcedbebccbedeeddacabeadcdddacccddeeedddccabeabdcabcbabcbecdedcbbbbcdacadecddbabbeccdebedaacbadccdecdbeabdabaddadeabaeaccceebbbabaddebcebbbccdbebcecabbebaeabbbcbbdcadddeaebdaadddcddecaddbebcdbbbbbeedcbdaeacbeccbaabeadaabeaabebddacdbcdeeadbdeedcceabaacceeddeddaceebeaabababadabbebaabcdbdbdbebaecbedbcaddedcbdccbabebedcdccdabcecacaceccbddaebebacbeaccdaabbeeadeccdeaecebdaabbadaddaaaeeeaeaaabcaecbcecdaeeaedbebebabcedccdeaaddccbbdadeddeddbbbadeebaadcacedceacebcacdccdaeacbbcccebcaedbebaaaadacddcddbceadacededbbecccdeaaeeddbadecceaabaaacbbdebcecceebcaadacdbcaaabbedeeacdacddaaddcbeacbceacdbacdecbcbdbcdbadcdedbbeddaebddbbbbdeddeaadbdabeaddebbbbeeaeebbcadaecddaeddcbabdcddceedbaedeeddedccaebdbdbcdaaeeeecdbccdedaeceeeddeedcddacedddecbacbdabdbaebcaedbcdccdbacddaeabadbbdddecacaacdcceeacbaaecabdebbeaddbeeaceaeacbebcecabdaaaeeedcbdcadbbdecdeaddcecccaccadcaedaabeeacadabcedbceecbacebcbdacbcaaaadbbccbcbdabebccceddcdacadbddaadcccdbeeccbebddecbcebcddecadaecdeaeacbbbbbeedeaaedbaddecddcbebecbaddcabbddbcebdcecbcbccbbaacecbeeeacacebaeebdeccddbabecdbaeedaacbbcdabdabeabadedacaacdbbeaadceceabeddbbdadeeeacaabbccebaececccbeaebeceaaebbcdeecaaeebaceddbedcbaccdcdddeacdadbccacccdcabbeadbbaceacbcddbcbeeeabbbaecdbbabecbbaddebbcddeeeaeccdecceaccbdadcdececbaadcddeebbbcaacbaccbeeeabacbcaeabbeedaeacbadbaabdcceececdcdeadbbdbeacbebacdeaacaddaeceadeabdcacddedeabccedddcdabececddccacdabeeebadadeeaeaccacbeecebcccaeeedecececedbaddddbbedaedacbbaecabdeebcbbabadebaedcddeecaceaacedddcebabdceebdecedcbdeecccecbddcabbeeaddaadeebaccbbedcddeaabbdddacbceeeebddccedcbecacebaeedddddcdadaebddeeabadabdccedcadaeacceccaecdabbaecebbedccdeebbdbdddcaedaceaaddccbedbbabeaebceacedeeddbacddeaebbebaaabdbdebeacddedadcabacebbbdddddceddeaeccadabdddedebeccbeaceeecbcdaaeabbeccecaababecbdbeeeeccebdeebeabbdccbeecaebcacbeaeacecbdeabddaacaebddbbdcabecdebbebcdbbcebaadddeccbedbcdcebbaecbebedcaecdbdabcbbededaaeeccbacddebadbebeeeaadeabdbeeaeaacbdccaeedaabcdebebdcaaecbbebeddccaeecdbaedbbccbeebcaaaadebcbadabdcedcbedeaabbedcdeaacedcdbddcdbeebecaeecedbeaaddcedebebeabbbbbcbeabaabbeceacadcbddbacdbedbebdacaeaaacaeacbbecacebaebaddeccbabdbebeccbdcaabcaceceeceeabcadbbebcdecadeaaeddbbcaaccebdaddecdccbcbeccdeaaaabdeedebdecbcacdcbbdcdcedeaecebbacdbeaadacedcecaacdedebbacecaeaebeaaaadeeebcbbaaebacccaddadacbbebaebbdebbdcbbdcaecbdeadeadbacaaabaecaacbbdabbcdeadcdadaeccaeacbeaccbcaedccdeebcbbceadcedbcbaeaeadacedbeddcdaaacaaedeaceeacccecbaaceaecbdeaccecdeddeacbdcaecabdebdbaddacaaddbcadeaebaeebecceebaadebdabeedcbacdcdcdddcccceecbecaeebddacebcddcccbacdebdbcebadeecdccbbddbedcacccacdcccabedbaccdedadedcceeabcccbadabaecebaeebbabbeaacbcbaebcabcccbadbbdebabbbcdaacddecbbdcbcceceecabaddacdaadbbbebedbacabcbabbbdbedecdbebcdcceadbacaddeabadecacedaacadedebaacbecadcdabbbebcccccbadedadceaeacddddbcecdaccccedadabceacbcdababcebddcbbbaaceedcdeaecdabdbebbeadadebbeabdbcdebbaebeeceeaadaadecacbcbcdbeddbdaeebebcdceebaabcaeadbdebdadadddccbecadaadeebdedbedeeaacdeabdccabbcdabedbdaaebbbcdecbcddaaeeaaabdcbbdcaceadbbcbacbaacaebacaeddecbbceaaedddaaddaababacddbbcbcbdcccaddbaccbbdeecdccbdbadddaddaccdcaaaaaaabcddbcedaccdecadeceaeeaaabceebdbcdeadebadedabaceddddadcdcceceecebcbaaccbcecadcadaeebcaadceceaececebedcedadecddbadecdacdbceccdabdadcbcdeebceebdebbadcabadebbbcdeddbcabbdabdadcdaacdddddcbcccdaadcdccdaecaddebdddebaaebdbdabacedccdacecaaaaaddadcadeacdadaeeccababaedbbdcbccbbbacccadaabdeeccabcbcaaccaddcedccbacdeeaadeaebdedcbbcbcedecbccdccbbbbeecadbaccbedebececcebbeaaeaabdbbebcdccedaedeacaadbdeebdeedecccedadebbaadeeabdedbebbbcbbeeadadceecccddcaeaeddcecabbebabcebbaccaaddacdaebbcbdceaeccadcbadccbdaeededebecdbceddaeecdaaadacececdaccbaceaaaecdbbeeceadacdacbeedacbedcbacaaaddccedecdbdcbaceebadabceedadedcaeeaacecadbaebcbeddcbbcdacebeaaeaebcbececadadeceeadbcccecaebbcaacdebbbaaedecdebdbadaadebdceedccdddcbbeeebbbcdacaaaaaebbabacbadeacbeaecabbdcbbbeacdbbddbaecadddcbdbbcdcdcdcbcccccceedeaeaddabdabbaecacbceccdcbdabbdbbbeebaaccbebddedceaeebddadeaebdbcedecdbacacdbbcadcbbcdadeabeeaabbddbcdedeeadabececcebabeededbbdbedbaaabeaadcdbecbcbadaddbceddeebddbabaacddddddbeabdcbdbddbdddaceedcdeebccbaeacaaeebdbadaebaebeaaeecdedcaaadbdcccbbaccecebdacceeabdbbcddcccbdababeabdcaccccebeeddbcbdbdedcdeacdbbedcdadbeabaebddbbbeeedbbbcdecbbdbceedddecdecadcbedaacbcbdbeccacdccedacadebecceedeabeadedaacbcaccbdbeeeeaebaecacbaecccaacbabaeddaaaddcdacbbcdeabcebaedbbddaddcaceeeeaeecbdbcdccdbbeccbadaccbeeadddbeaacbbbdbdedaeecdceddaecbdeddebbddbdadbbacdacadabcbccabeadccdbbedccecbdebcadaaecbabdbbedbbaacebaadcceabdeeddbecdacdabddaabeccbacdddaaeccdcbeecbccdabddbdcbdabcccbccbcabaccccaccbcbccdccccacdcedeebebebcdaddccdebaaeeeebabdbceaddadaadeccaeddbeedcddabaeeddebabeaeeceedbcdbbdaaeddaebadbdedabebbbdcdabbabddebabeeecbaeedeccbcdecbdadcdeadcbbaccdabcceddaddebaaeedeedadecdcaebbabedadbeecbdceeabcccddbdecbcdaeecdbcdcdeabdebbebccbbdbbdaaeccccdaabadbcbcddacadccebebddbbabccaebbcdbabaeababeabddeaabebacbcdeacedacbcbadeddcaebaccdcbeacbdbcbdbedcedbcebddbabcbaaeccbbaaeaebbdeaceaeacbdcedbcddcbeabeceabbdedcaceacdeadcabebaecdcaaaacbdebebedbceedcaeabeeabdabcaeeddebbdeecdeebcacacdaadbaedcadbbaaacdcadeeddaeadbbecbacadccabbaaedaccbdddaadddcbaeecdecbabbebbbcceaeecacdccbeccebdaaeacaaeecebdaedbcebecaedbdcadacbbabecbdddbeaecbeabdcdebbeddaecebeddebccbbcbcbedccdeaadccaabeecbcbcdcbdbceabeeadbebcdbceddcbcbdbddeccdebdbddaebdeaddaeaedaddbedceeadbcbdbacdabcabbcedaebdeabbcecadebedbeadbaabddcddedadbaceddddacbeeaacabdacbaabeaaeaeaeeceeebeaedebbbcbbbabbdbbdcddcabbccbcccabbeebeedcecabaddcaeaddacdcccacddadeceeaabadddbcaeedbdddabdaadcbcaedebaebdcbbbdaaaedbbeccdaeeebbaebbebbbeaeaadadaceebdeebaeaeecaadbebaadeacacbcdadbbaaaaedaebdebbecbcbccecaaedeeadbecbceaebebbdceacebbacccbebdcecdbeabbbdabcaebadbaadedadbdadedcedeeeaebbbcadadacddaaaaaaccabdbadcacceacdaccebbaadcaaabaeecacaeebdccedabccabebbcebdcdddabbcbedcacdcabacedaaeabacedbdacdabcdcababddcadbdabcdbbaebadbeaceddbbbeccbdceeadcabededcdacbacaebacbabdbdeddeccbdbdccaeaaaeabceecedbecaeadaeddbddbceeececcadcdadecaceeccecbaaecabdbcbbbdbcaeacbaedaccdcbcbbabeceebebddbabcaaddebddaddbccdcbeccdcadbbacbdeeaacbdbdcbcebccbbdaedcdadccdcbbdceecdcadbaeaabacbccbcdeacbacaceeeebcadaeeeedbdbcecabaaaceaabeeaacebccdeadaeceacdeaabcbbbbcedbaceadbbebedbaedbccbaeadbdbadeaebedcdabeddeabcbeecebdcdaecbaeeecacedeecaacdbedabdeacbcedcaaddeacbbedaacddeeccadbabddaabddcdaebadeeaeeccddcbaebacddebbbcaaebcedaeeacbaaebddaeccadcecdebdabbeaaecdcabccaeacaccdbcdbeeeadcdcbacadaeecdcaaacbcdecedcedbbbddeadbdeedaaaedcbeedceedecaaaddabddaedbdddeeedbbeaeaaaacedbddeccbebeaecaaebabbdebcaaeddcbecadecbcabaaeaeaaadaaccdeaabbadbccddbdeeadabdecddeadbddbaccedebaedcbaccddbacedbbabcaebcbdcaceaebbcdebbaacacadecdebcbbbdcedeaaaceececcbcbcceccceeecbdcecacbcaddddbeebcddbccbaaabaccaddbcaeeaebbdcdbbabbdabcecbdddbdadddcadcccbaadbadcbaecadbacdaaecacabcbbeaacdeeddbebdaaaabeaeaadcdadedbaecdcadbbdedbbdcaaaaaadccdbeeddceaabdcacbeacdaacbbeaabdeaaaedebbdebddcbebeacdabddbcccabedacceccdeddedacacceddebaecccbedcbdebaeeebddbcbbabdcbacddbaddedcdcdbbceeacacbaddaeecddcecabdeebaceddebcadabddbcebeacbecabaddeadcabedeadcbbacbdeddeacbbdbcedecdacdaadeacaaedddbaabebcbcbabedbbaababadeadaeccdbcbcbceaddaaecdccacaddddbcccaddbeadceeceabbbbbedacadbbbdeaedaeeabaceeebebecddbdcabbcdebdedcaeeeccecdcadccadabcdbbecbebbbadcbcdbbacbcbbcccdbaacbecaaeabccceeedaaeecbbcceeeccbabdeeddcbbbeededecddcbbdcceebadaeadcbaeeceaacdebecdacacaedeecaacbbaedbeebdbccccdeaadaabbaecacccdddaeababddcbcbdceeceeddebbaaddbaddcadcddcaccceeebaecedcdeebaebbecdcaddabeeacbdeeddccbeabbaeeabdcaaaeeaabacecbccecacaedeaabbcaedabddeeddaabaaabbbdcdcacaddeeadddecaecbcddbecaddbcdbecadcccaebcbddedeedadaccccbeacaeceeaacbdecebdcadceecdeebcceaeeddbbdeeaaabdaccbabceecdebdddaddddaceaacebdbcabbeaddbedecaeccacbeebbccccbecbbabbdddaccdecabccadccaeaebcdeddbceebadddeacebeebeedceeddebacdeddcbeeeaaeddedddaebaeabebcdddceeeedecebadceecdcceacdecebeddcceedadcebbcdceeaccaeaeeddebbcdbccccbeeccabaaacdbabdeabecebcdbeaaeedecbcbebcbbbbcdbecebaedcddcabbbecbbebaadcedeaaecdadccadbeeacecbbebecedbadbadaedabccaceedecbbaebdabcdecacedeccceadabdeeaeaeccdadaadaadecbacdeeeebbbcadebbdbebbcdadcdedcdaabdabbcebebcdeeeabdebdbebbbbacdcbcdcbebccdaeadcbcaebdbeacabeadcecbbcbeeecccaaacbabaeeaabbadaecdadbccadceccaeabbcdeacadbaddbcbbcceacacacebceceadbacbdeeacccbcebbedcdddbaeaaacdabdccdeacebcbeaecadadcddddbbebbdadcbeaeeccdeedecaeaecdabedddaeebeaceddedcdeaeceabaabdcdebeeedcdbddecebbdecdeaaccbdecbcebbedbbbdbbeebdbbbabaadcacebecaaececeeacebcdcbdeddaedaeaccaaabaaddecdeecbcbcddeabecadbabdeaeebcabdaaccbabeecebeadbaebcedceecdecabdccbeabcaeaddbaedcaccbccbddabccebbbcdaaabedccedbadecddebdadaaabbdbbedcbebebeccecbdeaeaceacbddaaccebcecaeaabeeddaceababbdbacbbacecbbaeeddaebeccbcebceacbdbdbbeacddebdbeeaeceacdebedeebaababedabcdeabbaeedecebbbacbcbeeeeddddccdecceebeecbaddbeabccebeddedbceedaedecbecdcbaeadaaadeadcaeadbacadacdabbabddcbcebacaabdcaacbccdcacadbbeceadecdcdabcccaadbeaddebcaadbecdacaadaceaabdedadccabcdcababeadaebccbdeaaceecdadabbdbdbbecabebdbbdaadbebdabddaaaaddbeeaaaebbbdabceccbacbbddbcbdcaadeaddbebbaaadbeddaadeebadadeaedbaccaabbdcdeabedaddeceeaeebecaeedccebabdbcebeabccddcdedabebccdabedabbdeccabdadcbdeaceccaeadcaaaceacbdbbdccdcaaeadcebabecdedcddeebbbbcacecaabdaeddbacbedbdaccaaacaebeedbddcbabeeececeeebaccbcbebebdbdcbcdeaeebadcacaebaeecedcebeaaeaeecbbdaadbacadaaedcddabbdacbabdaaeebcaceacebdeeadbbbabdbcacaabdeccbaabeaabaeccccbddcedbdaabadcdbadebbcacecadddbebabcbeddcadececcccdaadeaecebbbdbddaeadeeecdedccdbddeaaacccddecbbcbacebcdcbcebacdcceacbcbdaacbababdeeeababdcebebeccdedcaceccbeebdaeebbbacaacdbdabdcccdbaeecbbcccdcacdccceccdacdebbdceebdbaeeceacddbbcacbbcbbdacdbcdcebdbcbdeddbdbcaeedecaaeadcbbbacdabaaabaccdaceecdbaadbdedacdeaccaeabaedaddabeebeaacdeaebcbdcadccbebacbaeadbbacaebccbbccabcdccabeebcdbeaabbeedbbebaeaaeebcecdbcabcddabbeccebeabecbadbaaabdeeceaacddaabdcdadccbacebeecddccddcdedcababccbacddeedbceedebeeaebcdacccedbedcedaedcbcbbceecdebaeebdcecbceaacdccaedbaaddacadbdbcebddeebebcdbdecbbeddcaebeecebcbbccdbebaebcaaabcbaadbedcaacdeeecdedbdbadcacecbdbcaedadecaddaebadaabeddeaeeeacebbdeaaaeabdaaedcdcebcaacacbccaebeaaecedcbadccdccbdaacacdbedcaeddbebeecbaabeccaacbadedcdbbacbdabeccadbceaedececdadbebeacebbaebcbbdddbddaaeeababadaeedbbabdeebbcedbebaccbcadddcbadabedebbeeeadcbaaadcddeebedebcdcbeaeccdbeecacddcbecbbcaeabebecdeaabdbbecbcaacebdacacabcceccbbddaeddeaeecaececcbaaaecaacadacbceeddcdcebeaacededceeabeceaeccbceacbcbccebbbcbcababddacbdadacbacdbaeeabdacddeeeeabaaccbcbdebaedddcacbebcecdebbadedbcddaeaebbaadaacabeacbeacadcbdacccebeeaedeecdcdbaeabdceabcaaaccadaeecaeabbcbaeedaeccbcccddbebbabeaeebcababaaecceaaaadcebeedabbeceebaddcddeecaeaeecaceebcdacabbaddeeadbbadacbcddabccbcccdddbacdbeddbddcebcccbaaacdbcbbaaaceabeeedcaeccbdceeebecdeccdecceaadedecacaaebabcceedcbdccbcdddabaeabebdcddcebbdcbdcaeabbdabcbdbcaededdcdecbeedddbddccbbdccdbedaeabadecdbbaaadbbedcedecaadceacedbdccbaacbcceebeeecccabebdaceedcbbbacbbedbcbcebbbebcbaecaededdbcaadbaccdedebadcedbecacdbcaaedadaececbdeebdccccccddcbbbadeeabcdeaadddbbedcabdddedcbebadecdeaaaaedaebceebadebbaecbedcbecedeabadeecebbabadabacaccdaebababddbceeedbceacccbebeeebccecdececedbabedebbedccdaecdaaeacddebcedbcedadebaedecbeedddcdbcdceccedcbabbbbaebeadecdacbcccddadbbbbacbcaaeacdbebdbbbabceaebbcbabbeadaceaeedcdeaeadccdacebeacaebbcbaabbaebaaebababeecaabddcdedcaebbbeaddbccbabacaebecbccedbeaaceebbddbeccaecbadceabbcccacbdeedcbabedddbacdcbeccbedcaacaacdeaadcbeeecabacecbdccbaacbcdaceaadcedbbacdcebbcaacaeacbabddcdebdbccdcaeedebdbaeedbceaddddcbbcabdaadddcedbdaaeddedbbebbccbcabdebebdcddbdbbeacddcdbbaabdcaeabebbbcbaecebdadabaeadadcbbbbebeeaabeecadeebebcbdddbbcbbbadccaedbabcedcaedcadbcdbbecedeebbdcecdbadeedaebddecdbaddbdcdbddbecadbeaaeaedaeadeeeccdeadceacaababddabdbcdcccdbaccecdeeedcdccbaccdcdebcbabbbeeccbbbbccbceeabecedecdcdbadbabcceceacbdbdbdabaacdbaeadcbaabdbbdedcacbadaccacdbeddbbccaaacbcecccddebbbbeeedebcdbddeccebbbadaecbaebeabedbcbcbababcacbedbddbcbdcbebdeecbedbbebeaacecbaabeccedcaabaeecabaadaebebacdcbabbeeedecededcebdadbedebdabcaebbabebbcacbdaecacdddeeeebeebdbbabdaebbbadbacbdeabcaadaddbdccbbcbddcebaeaeaedbcecccaccdbaceccddaddeceacadaebcccbdbcaabacbdeccabbcbaeeccaedcdbabbcdbaecbceaadccdbcecacacaaeaadbcbcdcbdabdbcecaddbccadbddcaacaebabddedbeccabeceddcddaeaedebbceecaeecaeabdecaebacabcdcbeececcdededbdeebcddeaeecceaadedcbabdacddceadabeadccbbcccedabdeaaebdbadbdacdacaeeeabbadbbdddcaedbbaecabcaeddbedcabeabeccddbeeabebccbeebeeebbbbaececaaadbdebcdcceedadccdcbcbacbdcdadcededebecaddbacceabdadcaadcdaadbcbbecaeebcaedbeabaddecbacabcaadbcdbbcadcedccabebdddeccddbdbadeedcaacbddadeddaceeecaadddeacdcdcadbdadcbcbdeaeaacbaacaeccdaebebdebceceadbdadceaddcbabbeabeabbaedbcddedceebcacbbddbdcccadcdebbdbadabbbedcecaddcdeaeddbccddacaaccaaecbaecdcacebedabbedbaacaacdcbdcabbccebbbeddbcadcdaabddacbaceebdddceaaebcdbeccdeddeeecadaaaceacdadbcaadbdaebbdeadeaddbedbceaeecccbabacecadcadaacabddcdcccbcadcbbeddbbccecceccbcdbeccddedadacbedbeaabaddbbcaebabbececdcacacddebbaeddbbddddcbbbbddccbdbdbbedeecbcdddaabecccdccecbcbcebcbebabeaddddaddabbccecbcbaedbaecccdebdddedaaeceeededecabccbaceacdbeebacddbdbdebdecaaaedaddbdacbdddacdebeabcebadbecebbaeaeadaebaedbcdeebdcabaddbdedcaebbedbbdcacdbabaadadaaaaddcbcaedcaaabddebccbbcaedecbbbcbdededdaebbaaddabdcddbcbecceeaccabeddaeaaddecccbebbceeadebcacbbebdcbeeadeeeebbbaaeceecbededeeccbccdbdbddcadcaeebabecceecebcdebdaadaaceabbcadbbddbecaddccbaabecabbecceebcdecacaebdacbdeadcabbdedcbbcbecebcadeaabdebcbddbbdeaeabeccabceccbbadbabcecdebccbacaaecabeeceedadeedccabeceecaeceadceedcbdbbbddebaadaabbeddbcdeeacaeecadadebaedabdecdacccecbcaddcddacaecbcccdaebcccbecadaaceddcdbccbdbaccaceaeadceebabecdedbacdcecceccaccdbdebdbdadbcaaabdbaebeadaccaaeecdebdbcabcdeaceaabddadedaccecdbabcebdbbaacecbadccdabdbaadcebeaecbbcebecbbceccedeedbacaedabbaccccbebeddcebaecedabccdcbeaccbecacdbabbbcdbdbccaeddcceedbebccaedbdabeddacdcdadbeebabbebaaaacceeaeacededbecaeabdebcedeeababaddedaaecbbaaaaeadbecaedceccdebddcabbacdccbdeebebcdcdebdbcacdaeadabecbdcceeaeecebeaaaedbbabacbabedabbeabcbedbdcbdedeeddcaddbbbddaaedbedccbdcbaeabbdacddddeccbadbcdaddbedbdaddbeecedbacbbcbceeeebbccbebdccbadddddedeeacbeeabcbeaeceadbedebcececcaabebaabcbddacceadaacbadecaebaaaeceabdbddadeaebaeaaacabadbebcdacadeeacdbeeceecbdcaebcbcecdbdeaeaddeadbbecdacebddeaabdcaadcddeacbaebcaaabbbabdbbadaedecbbdedcabecebabcdbaebadebcedadbadddddaaeebeecabdecadcaeeaebaabecadccdbbaeccdebcddecbaeccdceabbbbddcaeedeabebeeaaabaecbdedcebccebeeacbceacbdcdbeccbecaccbebbebaccdcbacbaabecaaaedceeaeabeccceccdcecabeaddabbbcbbeaadbeeecedbbadceccdedbbccdbbaebabeeabdcaebeeaeaddeaeeaceaceddebddbbebebdcaeadcabbbdbdeedbededabccbeeabdcecabdbbbdcebabebcaeeceedcaecdaecdceacdcceeadbbcaddbcabbcedcedebebdaeeccaaebebeeaccbababedeecabceadbabbcaacaacbacaeadedadebecbbeabcececadbbccdebbbeababcccbbabedcddceeecbecbaabcabdccbccecddececbeedceaedaebbbeeeecbeaacbdeccbaadaebeccdbedecdecdedbbacaecbbacbdabedabdddddaaeeabcdcbdaddeeabbdcbedbcbedaeadbcbcbdcdeaaddeceaebbaeacdbbacdccbccccbcbeecacdbdaadbdcdeecabcacebbcdabbcccbdddcaddbdcaebbbbebbaadccbedaecebaceebaeaaccadabdedebaccdbdaaeddeaadeddbbeadaaabaceedcbcaaeadbadbcdbdadcdadcdbcaabaeecaacadbdcdeadceaadcbaacbedbdeaddeebdbbdbccaeedeadabebedddcbadedaeececaebebcdabdceadbcacbbcdcdeecaebaceaeededadbbeabcabaccaecedbaebbcbaaeceebbbaadbdedcecaddaededeacaedceccdcadeaeaeeeadcdbdabdccbddccdabbabedddcbbadcabecaeceeedddedadcdcadaabcecacecdccbbcebbaabeaccdcedebccceecedadceecbaceddccadbeedabbbddaaadbcadddacddccbdeabdcbedaabbcaaecddbcdbeaebccbeaadddacebbbbaaedbcecadeeeedcaddccdeedabbbbeaabdacdbebdcaddcbbbecdebcdeeeabebcdecedeccdebcabddecebaeecdedcdbdaecaedeceeeecbddddabbedbeaaccedacdeedacededacbacdaeecbeadcaaadcdcadacddaccaceaedcadcaccadbaeabeecedeeecdbdbbebceaeaaaecbbcceabdcadaabcaaedbdcbbddecedbeaabbcdaeaeddeaebdbbabaedbacaecededcbbcbdcdbbbabbccdecaceceabcdaccbadecbeadacbebabaeebbdedcbecbaeadccbaabecdebcebbadddadaadcbdcddaeaccbbbcebddcdccbbeebcdcdeaaecaabcadcebbaeaaadedaceadeabdadeecdabebecddcedaeedbcebeeaecbaeedccabdbeeddecbeadcaadcaddcdcdbcedaadbdeeddabeebdccaddcaadadcaaaddcedcbbceeabbadebeeccedeededabbacdeccabbdebdaecaeecdbbeddbdddeacbeebaebbccddaaecebcbacddcdabdcaabbedabeedabbeeebdddebdbbebdaebedabcbbaedbdbbaebecdebdcebcabcaceaaeebddeeedbebbdedeeaeebdaebaeddeccdacbcbdbaadaaaaedaabcedcaaadedbdeaebebeeccacacdcceeeeacaaeadaeadddcbaeaeeaabbbcbcacdacdadcbbeddaeccebaeaacecccbbbeebabcbbbbbdddddbcadcedaecdbbecbcacadbeebeddceedcebcccbddbcaabccdceaddeacaebabeaceccaccccaaecbdbaedcdeeacdebabdceeecbadbcabccedaaccedcabceeedbeebbaaccaedaaaadadccdecdddcbceccbbebeaacdcdcbabdaedcddecadbcdbaedbabaeeebaebcabecabbbbbecccbdadadbabadeadaeaabbceaabaddcdeaeecdcedcbdeaacccbaedeaadaacaededbdadabdbbbcadcadcddceaebadccccabbeddeddbaceadcdaadebcacbcacedabbadaaddaaadbeacabceaecadecbabeebedaeeceedeaaaaeadcbcadddcbbceaadabeeebaacdcceeaabdccdaeeeebccbbcccaaacbeadadccbbacdabebcdbdccbccaededbbddbedeccbecedddbeeacdedccceacdeaabdbeeddecaebdedabeedcccbdedeadecaedbdaccceeeacadbaadbedeaebcaeaedbabdeccbbebeddbeabcceaccdbbedccdceebecbacbedeaccbcccdacabdacabeddcddcddaaabdccdaadbaeadcdddbcedbbecedcbacbadbdaceedcdcbddcdbbdbebccbbcbabebedddceaecdeddaeedacdcccaddeaeddbecdaacabadbbcbaaacdbddeedcdaaebeceacbeedddabaeebbccccadecdeebbcadeeecbacdebcdecccbacbbcabdadcebbccedbcbbebcabddbcbcdecabdabbdedacbeedcbccdbdcdbdeecaacbbdcdbcabdddcdaacceacabdbbbebbcaadeedbdecdeedadcccedcbaecdbbadccddaeaabaeeddaebaeeacdcdbaebdcbbcbedbcdcedadeadaeebeddaedceadbbeaaecacdebccbeceeecdeabbebdeacbbcdeaadceaddabacddeecbdbdaaadaeecbedeebddaaceddcaeaedbabaddbdbaceeedacbdcadacdaeaccadcacaebcacebebcaaecbdbcedacceeabdbdaaacebdbedbdabacbcbeaaccdbaeebceacdcdcbedbaabdcccbcdabeaacadddacecebabaeddaededccccddbcdaeacbcdeadcbebbbacceacabdbadccdedadadcbabdabcbcbbdebccdecacbecaaebaebadcbdcaaadccdcabbddaddebdecdbaeceeababaadeebebdabacaadabbadeccedecabdabdccadbaacdbddcdeeedbeebcaccbebbabcaeccaebadbdddcdcbadebcbaaeaceacdceeddedbdbebaabbdbcceceebaaeecebbcbdbbdaeddaecaecbbbdeaeebbcccababaadbeacceeedbacaabdddbddebcebabcaaccbbcdedbedbdacaebcceeddbcdeadbabeeabcbeaebacdbaabbeadacdbcdcdecdbccaeddbcaeeaaccebdecbdbbbddeaabedabaddcaaaeaeeeeaacaabcabbcddabbdecbaeeecabecabedbaeacadeacbaddedeaeaeacbddebacadaaaacbccceeaebedbabecbedadceadddadbaceaaacaebdabdadbeaecaccbddcbdebadebebeeaececdabccddbdacbabdbcccdbbbdadaecdccbdeecceddebeedacdeabcecdebacaddcabdeabcdbbdcbceccbaeadcbdbdbadbcbddaababbcccaecadcccedaedeccbdddbbbcbdbadbceeccdeaaccabecadedeccaaeccdbbbabceddbbeebcbbcbddcedaededbbbbbcaadaeeacceeebcdebdabaebbdaeaabcecadecabaaacccaeacaccbbdaaeeeadddbebeeccaaaedbcaeddeeedaeedebacbadadeaadabaacaeccbcadbaecdbecabdadcaabbceadcbabdcaaebcccedccdcbeebacacadbddaabedbcbcdabadacabddcbaadabbcbcdedeaaabbacbaddcceaedcddadbaebaabeaeedecceecdbbcecaccbddaaddbdbcaecedadcabdcceeecbdbcbcaccbcdbaccaceebabcababecabceccbdccbbacadecacdeeceeebcadccabccdaaadddaaabebcdbcacdebaecdbcadccbddeeddaddddedbecbcbeeccbcebbcdeebebdecbddebaadaadaceccdebadcaecadbcdddaecbcbdbecaedeebbeaeadcdedbaeacbcdabbcdadecbabcdbeeeeccabbdebbbddebdbcaaaaabbbaabebadaddebdaeabdeeccedadbccdddeadcbedabdbdecaceabedeebeabcddbabeceaceabcbcbcddbcdecddeddbbeedebadecebeaaaaaeddcddecadddcddedacedbbaeeabaddabccedaccebdbbdebeccddbecbbbbcbbbbdbccecbccecccbeceddecbcddbbaacbdcabacbaaddebeebadcabeececdddabdccaabddceaecdcbbcdcaeacceaacecdeccbebedadddcacbaeaabecbcabbccccbccbededebbdabceacbaeccdabaabceeedcdaaddcebaecacaedbaaedecdeaadbaeacccbcadbdddadcbaaaaeccacbadaccadeebddbaeedebbdbdeeedaeadadcbbeecaaeaadeceedcebdbcccadabcebbccdebacaccdbbaccaadcaadaecbdddddabedbdeeddededaaceaeaabaccedceaaabcbcbccadddbdccdbddeacdbedbbabadbbcebceaebebcbeaadbbadecbeeeeadbaaabceaecdcedbdeedbddceedbedcbddeeeeaedbcebcccdebceebeebeeaadcdbbbbbdbbcabbbbeabacebbaaddccacbbacdbbeaeccbaebeeebbcebdedcabcccdaecadecaceedbddceebadacdadbcdbedeabbeaaaddbecbcdacaacecaaeaeaedadeaaebcaceeceeadbedbeceddebddebcbcdbadcbadecbbdebedaececacaceacadcdacbcaeaabdadcdbeeccbdaeacdaccaabdbebaecbaacaaecbbcdabcbeacaadebcadccebcedebecdcedadddadabeabbdebacebeeadcbcdaacbccbeadbeadcdbdcdddbbeabedcebdbbceebebbdcaaecddddcadacadddbdcaeabededcadddecddcedddcbecaeecaaddbabedecbeacbdbadbedceecbadcdbbbcaebecbaaabcdbdcddeaeadcebbeaebcebdccdcddebeeaccadbdadaaebbabbabbddeaebdbcbcddeebebecaaccbeebadedbeebebadeacdbaacadbccaebdaaecebeaaaaddaedcaeceecadabecacddeabeddbbbcdcddcaadebababaaebdcdebadbbcbebadecdcaccedebcabbaabcaccbbdacedbdbdabceecedabdeaacadeaddcacdecaaaccbaedaeceaadeaebeedbbddebecaddbaccadaebdedcbbddacdaadaaddbcacebaacbaacbdcccebacadcbabbedeacaabddbcadbcbdbdcacacbdaeaaeaeabcdddceeacebebdbcdcdaabbedbcdbbbadeeebdddcecbbccbdcaadacaedaeddbdaaeedceedbcebeebbeaaadceedbdccebadbbeacccccbbeddcadaeebbbdcddebeaccbddbdbedcbcabcadbcedbacdeeecdacabcbacacebcdceceaedaabeaeedebbdaaccaedbbbaacebedddebababbebaadbaeaeaaaccbbeedeebbaacdebaeaeacbcccbcadebbebcadddcedebaabaeaabdcbccdcdddbdeaccbeaebeeaaabbccddcabeeeecbddaebeababbbdeaddacaaedbadaacbdeebbddccebddbcceaebedbecddbacaabbcaebeaaedabeaeeedbeeaceceaebabaccadbbedabcaadaecaddecabcaeacedbdcaceaeddceacebaabcddbcdcbecbaadbeebceddbcdeabbebcbeeceddaedaeddebedbacaabbecdcebaecbbddaaeaebeccaeeecdecdbeddbcbbbecaeeaceccbdcdbbeebcedbaeabdeededadccbadaeddaadcadcacceeaeaadeeddcbcbdeebccddbeedacaadbecbbceebacaabedeacbdeecbcadbaceeaaedbcaeddbadbdeabcdbcbcdadbeedbbaecebabdcddaddbbddecbbabbadcccdbadacabeccdaddcaceacaabececdccbbddeabdadeececdccacdaedbcacbbdbddbbddcecbebaecbaeaddaaddbddcdadebbdcbacedbddbbebccaeacedaeaddcabaeebadbbcebdebddeaeaedebcbbcbaecbaedbbaadbacbcaecaacabbaaebaebeaddcabcccacbbdbabacaecaedbecbeccecbcbadaebbacebeeabecaecbaeadcaedbddaaabceeccecccdbacaacacdadacaeedaccbbebeceeccedeaaeccaeabdacebbabeecdaddbdcdeabbeccadbeecebeeeeaaeaeaadedbdecbcbecccdeaeaaebcdebacabdbdeccaededcbbbaabbccabbcbeadcbcdeaaabdccbeaedabeaedadbcbcaaccddbadbdddedaaeebaedcaecbbbeeecbedbadedeecacbdbbbcaeebaabeeebcaccabbeceeaebdaacdbdadcdebceaaccebdaccacbbebcdbadeccebdeeacdcecdaecccebcbbabdacdbeaaeeedbebaaebcbdabbdbbaccbbdadccbeeddceeacdbbccdbcbebedbaaaddbadeebebaeaaacbabadabdececebbebaedddeebdbabeebcadccaeededaaebeebaeebaedbeccbeecebadcaadebdadadeeebdcabaeaabcdcebbcdbdacecaddeedababbebcccbeacbbaaaecdaaadacbccaddeececccbedeeeebddddaebeadecdbabecedceeaaddddcbbdaeedebdbcdeacbdaceeabcedbdacbdbbbcabedddcacaebeeadeaababdaeadcdccdbcadceddcedaddaeaccebaabbbcceecceacaacecebcaccbddeaccbdabcdbbcdeacabcadbdbdaeabddcbaacdcdbabcecbaccbadbddddccaacaadecbdcbacdaecebcecdbddbbcdeebddeccadaeedbcdceeeebcdeeebcdaccceeeedbacadedaccbcaacecdcecbebccdbdecbdcaebeebeaaeaddebbeacadeeeebdcdebbacdbbccedbedaecbedecaddaebcdceecaacebcdbceeacddacedcececcdcebbceddbdebedbdacbcebaeacbecdeebcadebcbbaabeddabbebacbbebdcaddabeedabaddcdecaacccaeacaedaccdaedadcecccadcbcbbcadeecbeabbdecccebccdacccbbcbeddedebcebdcbbeebedcbbeceacdbeeceebbcecdbaeacceabebdacabdeabdbadcbaeceadcebbbbaaddddbebaacdddbbcddbebccbecbcdabaededccdcacdeeceabeceababacadccabacbeeecbcaecacbdeebabdaaddaebaebeeeebcdadbebeedebceadcebaeecddbecbdbbbceeeaabbdccbaceaceeaecbdabadeadbadbeeccedaaedadedcadeadbddddedcbbcababdccacadaaccaecbacdbcaeeaeedbdbdcbedddeeecabbbdabcabacdceeabedceddccbddacacecedbacddacedecbaeccebecedeeedeadbcadebbeecbbddebdebacabadbccccecabdecacaddabaccaeaadcaeaeaceebbeddccecddebaeeaeadcbacdaaccbdbceedabdbceaacaccbbccacebcccdaadacaecaaeaecdeeccbebaeaecabcccaddcceaedadbeebecbcaeeebecdaeccbceedcababbaacbdcdbaeeaacbebbcabcbdcaebcbdbdecabcbcadccebddaadaacecceddabcedebcdadeaaccaaeabccbdbabedaaabecbecbbabadcabecdcebbcedabacbbbaacaaddabcdcddbeedbceabdbdebdcdaeedeccacaccedccaeaeedebcadeddaeeecddeaecdcbcdabbbbecdeabecadccaecebabedcdbbabbbdaccdeebdadbcbeacddebcececdeccdcceaadcabeddbeaccbeedebecbadccaeccdaaeccabeaeccddbbbcbcaeaeebabddaacdacbedcbacceaacccceacebabdbeeaabdeedbedeaeabbddbcecbbeeccacbceabdaeeadaaddaadcbbcdcdccedabbcdbbebdcacbacaeccecbecbcecccaedbadeaccdaedbaaddaadacedccbccaddebddcccbdadadabcbeeaaebddeabdcadeeadcddcaacdbdcbcabaedacbbaecaacaaddeaedeccccdeeaaecbdbdceebdcaeaddccdeabcddaecbedecbdbadabcabbadcbedeedaedeccebaeecdacdbbabeeedaaadddcaacdedaecbebdedaddedaeeaeadccaeecaaeddecabaaccebccbbabbbbdbcbcebddaaeecaaceececaacacdceabbebaaaeeebebeadeecddaababcdcecdededabcbbabdbcddbbacabdaabaceebddacacccdcbabeabeebabbacccedcbcbbdeebccdabcdaeaccbeeaeecbdaaddedbbaaaecdacddcdcdeabaaaddcbbbbebeaadaebedaaadccccebcbacbeadacbeadcbbbbeacdaaaecabedcadaadddecdedccebbccbdeedbbeaabeaecaeebaebaacdadaecebebdbbacdbeededdeeaeccccbbabdddeecaebbecaadccbedbadbaaddeeeeaccaceacadeddeeabebbedcbdbeeccdaaddcacbcceddddebacecebccdcbeccdcedbdedcadeebdcdebbdaacdbdcebcacabaeceacddaebbbaebbeadbecdedcedadbacaadeacbccceddcbdedbabeeaeddecdacbadeeebcdeeededdbeedbdaadecaaaccacaabaeddbaadddececaceaaddccebbccdaabebceccaaaeaedebbebcaddabbdeeeceeeeabeebddcceebeabddbabedcbedceaabbacdaadebcedaedcbdcecbcecbdbdbbaebaeabaadadcbbaddbaabdcabaecabceecbabaebdbccddbdadbaddadeaaecabceabaaadeadcbdcbbabccdadcebcecdcbebcbecccdeabeeedebbaeabacceabadabbcaaeaadabccecebebadddbbeaceeedeadadaaedcbdcddccbceaceaebbbbddeebcdaacccacacecbceecebbabdbddbadeeddecddebaccdedaeccacbaacebaaedcdcebbacbbcccedbabdbbdecaedcabdcdeedcdeadbaacabddadcccacddbbddcdaacaecbdbaedcedddeaecaddcbaeacaaadcbaaddeaeecedabcbdbddabaeabcbcaeabbbeccaedeebeabecebbbdaabebbbdabcbabaacaaecaedddebcbdcdcebdeabbdedcdebcbbbacdecaceceaadaecacdbebbeaaeddddaeeaeabdaebcdbacaddbabddbceeaebbcccaaacddebddcdeeedbdcacbbccdcecccbdabbbabddccdbacbdcecaebcadbaebdcbdddbbaeacbcdddbacdedaccedccacdabbeeedeeabebbbadbadcadbebdcacdbebecdecddedbbbbbccacdacdeeaacaceacccaebadbdecbbaccdabdbebccdccaacdadcdeddddaeeddebcecacaeddcbacdbeeeceebdbbbacdeacbbecacedbcbcbdddbdbdddcdaddedbebdccedaadcdadbbaceedacbceeebcaadbbceedbcddaaaedbbeeaccabdbcdbaeaeccdebedccddcaadabbabebcaadcdebeaedcadaeeadcecbbecedecceddebcbbaccdbdaadbebebcccacbeebaeccddbedbecbbeddbbdccdeeccaeebdccbbddedcacdbcbcecbbbeedebddcebccbcadccaebceaeeaddcdacccbdaedbedacddbacaeedaddaaaadbdcebebadbdbceecbaedbeccbadacdcacbebbbecbabbdbbeecaecedaaccdacdacaedcbeeebeaeecedaaccaacadddeedcceeaabacddeedddacaddcbbbbacebeebceeaabaabccdebaabbceacabcceaebcedeebaddbaecbdaececbbbeaadecbadeeeecebeeebceabcecdacccedabbbadedbacdadaebeecdbbbedccdaccbdaacababbeecedceabaaaaeeeadcedceabdebddecedadedbebcbaebeaabeebdeceeeeaeceacdeedbedbbaeaabacebebadbedecbbbcacdceebbcdbeccbbbbdccdeecbbaabedeedeadddaabdbbacedbaadddceddeadeecaaaaceacebeebcbceccabceaadacabaebeeccbbaaebaeadbcacadeebeabaeddbeabaccceebedeadccedceaacbcabaaddacdaddcdbcebabdaddeebebebdabeadbcddddaddabbaedacbdcbcbeaadbcebabeeacbdacbebaeaaeceebbeeeedeedaacdeeedaebddcebadedaebacbebbccdeeaaebbbaeadcbebcecdcebacadbeacdacdcdadbccbcdaeeacadcbdaaeaddbadecaabdbebeecddaaadbbcbccaddedacbbcadadebdcddededdbedbabbbbebddeceabcddcabdeedcdabeedbdeeddbeeaeadcbdacdcbaeccdebebaecedddebbeecadaeadcabedebaeaaceedbecbcacacbbdebdcccadaabeacbaaaeeceaeacdedecbaedaecdddacdbbdcdbccebddcabcdccbdeceecdbeeaeeeedbbcdddbaaacaaebbeeacadccabdeeaddbacacddbecadbeecbbabcbebbccacddecbdddaddaeacdcacacddecabdaecccdebdccdadcdcbeaecedcbbcbcaadbbcbbdbbeabdedbbbdddddaadbbadaecbcccbebeddccaedbbebdedebbeacbecbdceeadaebebedabdaebddbebbccebdbebdeadedebcbdecdbbedbedcccbdddebdadaecabdbcacebbdbdaceecaecaceaecccaaeceadeebbedacbdaccedacdddbbeceadabaeddebcbbdddbeaeedcaeacdedbabaaeccadaaebdbcdcdacbeedeadbabebceaeddabceecebbddeaaecdebddddbbaaedceabbabdadeecaabaabcdeccdbbdaedeeccbbddbcbdaccacdddeeeedaeccebdaadcdacababeddbccbeedceaeaededddcadbaeaccdabbddaebacbbcddbccbacaadeddabacaaddebeceacdccbddcaaebdcaabaaceeaeadabebdccdbaadacbeaedeaaeedadadabdeadcaadddacbeeecadddadcbeeaadeeabdddeeeececdcebdadabdecdcccabecaeccaaeaabcdeacdecadadedabdddecccedbcbdeaaecbcadecbaebcaaaeaccadcccaaddccadabdabcadddeebeabcaaddcdeeacccbebcbeaaecaabeaedbbdbbbbceccddaaacacacbbadadcececbbeebadecdedddebcbccbedebedbeecedaceddacbacaaadadbedbbbdbbdcbcdaaeebbadaceddbbcebdbccdaabbedaeecdbedcdbbacedbdcdeaebeebbeabdbdcacbecadaaecdcbcedebbeacaeeeedaaaabecaababdedeeaceeacdacbaeceaeaeeababcdaeacedbbceadacedaeaaddcdedebedddecbbeecdabbccaccddedbbebbcdbeaaeacecdeadcdecdeeceeeceddcdedbebeedabcdbddcccdeccedbeacbdccdededdeaacaddbdadcabbaceeaeaecebdccedcddaabeadbdaacbdbddcaaaedeecceddcaaeecaecbdcddbabadbbcabeceddebaceaeebcaadeddedebedceccecaceeddbdbddaaaedbddabcaadbeccbaebcbbbcebdddcceacaeaddaabbbdaacddccbddaebdacbbacabcecdaaaabcbdebcdcaaaacdeeacabcdbeebbaeaebbeacddabcecebeecaecaebbacdcbaebdebacdecbabcdbddeacacbeeadaeebecdeebdacecbebaeaeeedeacccadadaabcdadcadcdadaeedecbbdcbeeceabddaaeccabdbaeaccabadebbdbaeeeaeddddccaddbbcecbecbeedbeaccadebdebdcaadeeeccbdedacbddaedaaebeddddcbcbbdbebccbedebdabadddbaadebdcbbeacedcdddebaebdeacdbebdbddeacbdcaaacbedeaaeeebaabddbcededebadabdbcbbacedacbecbedaadcccceaebcceaaeddeedcacedcedcaacdeeecbdebebbbaaebceaccecbdebaedbcacdcadbdcdbdbcacbccdabdeebcdcecaacdebaecbbeecbcbbcadccaceeddccbebcecdedcedcddaeccdcacdeecacbeccacaeebaecdeecdcaaaddecaaecbcdccbdccdbbceeabdaeaebacbbadacecbbbcaadacbaadcbddbbaceacacaacbeacccabdceaebccbddeeacabeadecbedcacbceecdbaddbdccacecddadabdedacddcbaaaaabbdedcacaeccedccbeedccbeeaaaaeddcddaccecdabcaababceceacdbcbbcecbaddccbecaebbcabacdbedcaecbabbdeebebcddddeceddbecaaeaadcbbcacbdaeaadcedecaccdacccbcccaaadeacecbabdeebdcaaabaceeaedcdccecceabcdaaeddeaabbbadbdaebcdebadeecaeedcaecaddcadacdacceaabcedbcbedcebddacdddbccadaabcddceacbacbdadaeacadbdedceadebbddcecdcacddbdaaedecccadaabdccbbaaecceebaedbdecbaacbadbebebaabadeaebaaaaececcddbceabccdedabebdeebaeccddcebbeecebbbdcecbbeedebccddabaaebdbbabbaaaaeabbdcdabadaabbdedaebbccebeacabadbaceadeeececadbccceeedeecbaeacdaadcddababddeebeabbbbeaeddeecbacdbdccabadccabedceadabeaadbeaccaebcbabdddbbaaeeeedbaceceecbebdaedbaccaaeddaceebbedbacebadeabeccebecaaaadcabdaedccdedbbcdcbcdbdaaebccbadbadcdcdeecedcdddcedddbcdacbbbbdddacedcbcabaddbccbdbccacaeccebddacaabcaebedbebaeddbccbadeedaadacbabbdaddbbdddeadbdbccaddeabcbddedceeddadeebccabcabeeddbbdbbbabbedcdebaddacaaeeadabeedbaadebaaebabdcaeabeeeebacacdcecdeaaabeaedeacaeeeabebececaaeeaecdcbcbebcebcbbeccbceaddcacebbbeaeeaedbcbdcbeabebdaccaaabdadcbadadbceecccecacdccbeebcababbedeededaccabccadcaadaaaedccbcdeccdbccdedaaccacaacdbabeedebbcbbecddaaddddddaaebcccabcacdcaddabccdedabaabcccdbcbabadcadbbceeaddbbcedddcebcdbdaddaceecbedbadecbeeccebbaeaadbbdbaabadeeaabeccacdcdecacaddbdcdaaadecedebdbeaadaeddceddbaddaaabebdacddcbbeddbebaabedecdcaabadcddddcacdbacbdbdbcedacaaabeccedbbbbbccdecaadbdbbddabbccebbecedcbcbcdaeaebaeadecdcaaaaebcabbebaeecdeeecdabdbdcdaacbddcdebdaebecccaabbbdaddeeabccdcceccddcdcabedbbccedaebbbdaadbbaecadeddbbababbdeaeecacaceaccaabbbcaadceacaadebcddcaeaedabdeabeebdcbabbddcdeeddbaeddcccdacddbcbecdcaacebcbdaadccacceceaadbecccaabdbbdcdaddcccbbcbcabbbaedbacdbbadaeacbedaecdaabdabecaebaeaeedeaecdaedcbaedeacebaccceedaeaaddbaacbbecbdbbcdeaccdcdceabdddeaabdcdddbbbdceeabcbaaaacbdebcedbcabcecacbcdeebcababaadaacebacbdcaaadaaccaedbcebaacabaeebeeedbebbcadacdaeedaecacaccbecabedbcbaabeccceeeebccdbcdbaacadadebdceecebdecbebbecbcbcabbaeaacbadabcecaecbdedaeeebbceabdbdccdeceeeccaedceececccbcaeeababccdccdeababeeaaceaeeadaaaecaabdacaeaccccebcbdabcdcdaadaaccabbcaaacbedaebacbbbaccdddacbabaaecdbcbeedabcdbebdbaedeadecceeebeebebdaaaadeeabdeecbecaeedbbeadbbbabdddddddaecddacacdbceabbcaaebebedeadeebaacadaaabbebdaeeebabaceadabceeeabeacbdbeccadbcdaccecbecbdcaddebceeddcaabddbeabdecaadccbaaccededeedceebcaebbbcddecdddcdabeadbedbecbcbedddeedeacbaaddbacedaedebbbaecdecaddceadbeeddbeccaacbbdcaebecadcbadeaddaebcaecbbdeeeedddceddbbabdaeccbdecdaeacbdbcdbcececbbddaacdbeaacecdabaacedcdcceccadbaecaddabeddaadecccccecccbdacdbccecedbeaaacceaedcebbeeebdeabbbeadccdcaccbdbddcbdedcceecbcdacccabcbcdabdacebbacaceeaacbdbececacdbccbbedbabeccbdbaacddecbdeaebeeddaabcddcecaeebcdbedbcdcabdebeeacebcadbaedcadceaabdbaadbddebdaaaeedbadedccdebdecdaddcabccaabdebcdadaededabceeeeedebeceddbdbbabbababeadaceaaadeddbacadaadaecacadccabdaebeaebdacacbabaebcbeddaebacacbdabbbcaeebecaeeaaebcdaccadeaaecbdeaedcdbdddadabedceebaabcbbaacbaeaddddebbcadecbacdcadbcdadecabdbecbccdcbeeabebaeeddddccbecbdccdcebdabddbaabeebeadddbbccaadaddcaadacdbdbdedaebceebbadebbcdeebadeacdceabbeababcedcdbbebacbceaaebbdbceadceacbdabccdbbdacdedaabcbebeccbdabdcaeebecadadecadbaeaabcdbdcedccaceacccbdddabdabceabaabcacbcaadcdebdebddeeacbadabdeabbdbcdbbdcdbadedaeececaeadcbebdaaabdaabeebddacebdcbbddceadecceaacbebeeecdaebdaebeccddebeaaedeeeaabadadaeabbaddebaceacabebdbbbecebcbeaebcceddecaecddecaeaacdbacdbeeebbaabbbcaaedeebacedcbdbdaccaaddbcdceabcbbeaedacddecaddcabeeadbcbededcbbebacceeabcadcededaaccebecbcdcadaaadabbbabaccbdbbeadaadceaeaaabbadedaadedbdcdceebcdedcacebedddabbbdaeeeadbcebaadddbdcddebcdabdaaadbbbcaabeacddbcaccdbeaedcaedbadaccddbbdbeaaeaeeeacaeeceeabaedaadbaaecbbcdcbeeedbecbebedeadaaaebccbaeececccaeadecebaedeabbbdbdcedbedecadebcbdeddbcecbddbacecbcacccecdcdedbeedbaaeeacccabceddbebabaedcceaeceaaeeebeecabbdbcacddaaaecdaeeeacadbebbeceecabeecbcceaadaceeceeebdcaaeaacdddcaccceaccecaeecdaeaacaeccadeaeabaecdedcceaaaddaecbbccbbaecdccbbbdecbecbaaadaaddbbceaeabbdbacdcbdababdbcbcbccbbcaecdbedabcbacacedcbbedcccbccabbcbeadcdebaadbceaccecadadcaaaaeaccabdcdabaaadadabdecacdadadeceabcbdcbdbbebacbdeedceabceabbedcbeddbcedddcddadbaebccbccdbeaebebaadeabecbdecebaaadbdeaeeddabcacbbceccabbbdaccabcbdbcbeddeeababedededebccceeebbedaeedaeaacbbeabeddddedeedcadccaceacdcbbbbaaadbeadaacacddcbdccdccaacdcbabeecdecebaccdedaecdcedeceaebdeaeeedcccccbccceabcbbcdaeaaabaddbbbebcdbdcdecabbaebbddeddceecbebccbceeaeeedeaabedcedddacaecececddaebcadeaeaddcdabaabcbebbecbcddddaaaabebeddddecdbaededbdaaceacbcaccecdcbabdbdbcbccbcdeedeaddcaaecddddbbddedeccbdeadbbbddbaadcedebbbbecaccacedcdcdeddedddeeacaaddeaadcaccccadcddbacededbceebeeecbaaeccaaccdeeeceecdccdaaeebcccecccaacddbbeeabaededbdbbdacabedeceaaaeabdbcbaebedadaaabcccedeabaadacaedacabbbaacdcbdabdbebdecabaacbcbeecbaceecabbdabcddebaaeeeaeaaaaededeaceccbdebaddaeadeddcbbbadadadbbaebebebeddccceeadbaceaeaedecbeedcaecdeaaeabcbbeedbbaacbdecdbdcaecbeacdaacbdbcbcdcccabadaacbbddebdeadcbccaeaabdbeedbbdeadcdeabaebcccdbbeaabbacadbdedacedeedbabecabddccebcbbbebabdaadbedaebbbbebabbaecdabaabaacbecbdceabccbbccbabcecbbbcbdacbdecabccdeebaabacdceddbadecacbbaedbdabebabbcabdacbbababaaddeadabbeaeeedcabecdebcaaabeebdeadddaabebbddbbdabceeaaacdaaabccecbacdccabecbacbddcedcbaeaeeebcecaddbebeedccdabbbeccadaaecdadeebabeaebecccaacbeccaadbebdeaccdecaceceacdcdaeccedaececbbeceeeaedddabacbbbcecddadddbdededadbdbcbccccccccedeeebaccbceddbbbdbabadccceeabaabaedaaaaddebabdedccbcbdccbdeabbddaaeaddbcaddedebcebbddbeeedbdbdaaeebebbaedddeeacdbbdadcbacddeeeddbdbceddbaaeeaccbebeadecbccebedbbaaeeceadebcaccddeccacbaacedacedddeaaacddbddbbabadbbadbdbeceddbecbacadbcbdcbacadebcacecbdcabeeaaaeabceaadeeeaeadbccecdbdacedbeeecccdcbaaaaecbcddebccceecdbccbbabbdbedceceeaaccbabebdaeedbacebdaddcddbbcdeddbaaecadabeedcbcecedebecdbccdcbddebebbabddceceebbabdcaabcddebdadebdcebeeeecddceecceeadbaedcdebdadcaccbbdeceaaeeabbcadbcaabbceebcebcbaeacebbccbcaaebbadbcdaeeddeceaeadbcedacdeeecbbdccabaeddabaeaadccddcbcbaeadaacdebdaaebebcaaceeccbdedebdaaaacdedcdadccceecadbaaadddadeabdaabbaeadbaaeeabaadcdecdcdbadabecabaeacbeedebaebecdbbbcdadbcdcdcbdaebcebdcedbbecddeedebdbbedceeebcdabddedbbdadaeadadcdbdacabeceabdcaeaecaddeecbbbaecdcdccdcaecbdbdcebdecedabedbbeebbaabeaddccdbadcbbcdbeceaddeaaccdbbedccbcbbcccdabbeabdcbcccbedbabdbcebddecedeedecdddbdddbcbbbcdadabcbccaeacbabadbeddbaddccaeececaaedadeceacddecebeaecedabbcedccbaabcdccbdcadccaedbcaebccdebccedbbaaacaabeecacdeaadadabecabaedecdccccbeecebadedbbecbabbeddccbbbbaadaeabbccabceccacdeccadeddebbdecaebbebeddbacbecbedbeacabdcadcdaeacccbcdacedbadebcadcbbaeaececbedbeeabebacaecdbeceadaecdacadebcabaeceeaeeeeacdbaadeadaecacceeecdbaadbeacdccdeaebdbeedaebaedbcdaedbcedacdcbcdaaeddcaeecebdcebebabddaebeceddaabcacecbdbecaebaadedacdcabcececdbccbceaedcdececdddeabbebbebcaecaabcbbadceaaabccadaaccbdeebbbbcddcadebdddecedabcdccaedddabadbbebbbcebdebcddacebbcedbebbbbeeeecbbaaccaddedbaeaaabeaecaebddcbdbbebaddbcdeeceebcccccddaaabacbbeecbbbadbdcadacdddbaddcadbbddadbaeaababddbadbecacaebabbcaddeadceabecbdcacceedcbedababbbdcbcdeababdbadabcdcbaaddddccaaccdadcdcbebaadeadeabdeddaeabaecbeadeadacebdcdedcceeacdebaeaaababcccaeacbdbddaceabaedebbebaacaabeecddbdedbdcecbcdaebeadebdadadeaeedcabaabcaddedaacadbbcdaaabadebdaeacdcbecbbdebabadbadcccecdbecaebeacbedaccbabaaebcdadbebcdcbabaeaabedbadddbebebaeadbbebbbdecabcadedbbaacabedcadcbdbeddbdbbadbeeedcabedaeccaabbedbaaddcdabebaeceadbedaabcabbaeedeedaaecbebbbbdccdcdaddbddcddbdabecdebdebecebeeaadeedbceeacdeaadabaaadbeebeaeeadececadbbeadcceaaadeacdacbadbbaaebaceaeabbabbaccdcbbaddbccaeaabedcacaccaceebbaaaaddcbbebdecbabebcbcdabbcecababaaeccbdbbcecbaadabceccabeabccbaabedbbbbddabcecedabbbdecadddcaceddbddddeeedababeaebdaeeeaddaeabbeccddbcdaecaaebabdadedbbedbecbbdbadbbaaceeabbcacacababcdededddabaaceeebbbbeaeaeeadbcaccccaceceecbcbbbdacaedcecaddccbedadbabeecececaabacbbdebbeebeacacbccacbeacdedbacbceeaebcebebbbbdccddabbbbbeacccaaadacecccddeaaadabdbcbceebbeeecbebdbdbdadbbcedeaeecedaebedeecdcaeddbadadbaaccbdeeeadcdecbbeaddcdbccbbcdceeaacdaceedbebaadbbcbadacadaccdbcacaadbebdaedacdabccddbcbaedbccbaeeadcecdaedbcdceaadaccaedcdececbcbcbacdacadbebcaecadbcaecdcbcbebeedcaeedaaacabaadaabacbcdbcdabcaedbbbabbdadeadddaaadbbaaeeeebdbaecacdaceabedbaecbbaabaddedcaabdbcaedabcdcabeaccddaceacbbedbabdcbadebacdcbdeabccabcaeadbab