2 198
dedcacbcdbaeaaadacdbdecbcdecacccbbcbbdbaacdeddcdcbdccedecaaccaaebcabeaeaeccadedaeecedadccdacaddaaadebdeaacadcdccbbbebcdbcaaaeddbebdbbedecacbeadaabaddadbecbbcedeecedecebebceeaacceeaadabbbdaedabacedabedcecdecbabbaeaeecaadbbddcdadadaadaccdcabebdbadaaacbbbcadeaaaaababaedeccbbbbbaaabdeebabadecddbcacdadcecacddbaadbedddbedcdbaabbdbcbdadbbaeebddadbbcaeaeacddeddeecaabddcaaaccbdaceddedbebdeeacabcabdbbaddacbcebaebcebbaaacaeacabcdcdeeecbdaccedbedadbecbebbabbcaceeecdaacecbdddbbbddceddbecadceacaadeadebadccdbcdcbbacebaaeddcbcadcdacdedbecebddecdeddbedaeaadcdeddaeabeeebbbbaeecbececbbdaddeebcedbdaedeeebdcabeadbdaadaceebebaaaeeeebabebeabbdbaaabccdbbeaaddcbababadcbcececedaaeddedabbbebeaceaeeccaaacceaaebecdceebbbbebacdabecdbeadbeaddccacdacdeaabeebbdccceeebeeebbbabbabadaaeebcbcbdacadedeaedcdedebaedcddacaeceedbeebcbdbeebeacbbbeceadacdccbeebdabddbdbeedccaddedabcceecadbabedceadbaadaccacacbaaeeeaaebbeddabacddcdadddeeccbaceddeedeedebddebadaacdbecedddeaaedaebaeeeacdbdeabeeebadcccaaddaecddeebdbdeeebbcccbbcbeaceacdbeaabcddebcbeedacadacaaebadeacceacddabccaaccbedeeadddbaadbbebdabeeaccdbcaccccdecbdbaacadcceaacecbcabaddebadeceedaebaaccdcaecbbaacdbcaccbaedbddabdcedbdcabddbbdcbabcaebeeeacbaabbbaddecccbabcebdadadeabebcbaedcbdacabaaebddbbddcbdbadbbeeaabbaecdcbaaddcbaaedeaaddbecacadcbdcdeaaacbeaaaacddcdeadccbdedaaaadceebcbaceadbeebdbbacccbacbeccddadccacbbdcabccebbcbdadbeddbebddcaddbddeeedcedcbdeecaebeceeeeedaadaaaeceabcbedcdeacaaeacdebaeeeccdddcdecadccbdbdabecbedbdaeedeacaabdbdcdeebbcbabecdecaccacdabceecdabebddecbcabdceadbdcededecadadbecaaedccaeaddaaebaaadccdbbbeacbebcedccdecdcbdbadeaeebcaacdcaabcdbaceebedecbbecacbdeacbdabbdaadedaccecddbdedabbacaedaadccbeaadbbdacecbbbaedcaebabebaadbbacaddddbeeadcaebcbcaaeeededaabacbbbbecaebeadecdccdbabbcdaaaabdbdbebaedacbadcaadddaccacedadcabadeedeaaddbdaebdabdcabeeaabadbbdcceedaededbbbccadcdeabeaeacadebbeababdebdbdccbdbbdcabbaadaaeeacaeaebbdaebacacdccbddcebdaeeacdacddcedcbdeddcccdeeaedbeebcdbaacaaadddbcadcabacdeabcbbcbbebaebbdeccecaadebcacdbadddbabbbabbebbcbbabbcdbedbdacaaebbbeccbebcaeeddaecacdcedaebdceceedaacecceedbabcbebbabaeacdccaeeeeadebbaeeadccbcadabdadcbdeeaaccdddaabaebaeadaddaccdddbecebeaadadaddaeebdbbaeadccacaceabbdcdddbeacdeecbdeebbabaebadbbbdedadddcacbaacccabdeebcedecacecebcedeededecceaccbaececbbbebacddedcecbdeacbeaaccdbaaddcbddbeeecaacedacbccdbbedbebecbedcebaceddbcbabeeecbdbdaabdaececcbcacbaedacdedcbdabeccabedbeeaedebaeecdbbeabcdedecdadddaccdcdaabeaeddbeabaabeddcccebeedcabeeeebacdbbaeaaacdeaaedaecbeccaaeccceeebbaccbeccbeadbdccaeaccdbcddbcbeddbabeececbbecdcceccbbddbcacedcacaabaeccedcdeeadbacebaebedadbabbddabecddeceacebbddcbebcddacaebbbddaddedbbcebaeabdeabbccabdcbcdcacdedbacabaddcddceceeacdebcecdcadeeeaaddcaedabbdcccacaaacadbbbbedbcdedcdcacbadbdeabbecbbecbddadaeaccabdbecacecbdaccaeeaeebacbbebebeaedbddebcabdcbdabbcceeadbcebabbcedcadedcacdbadddeedddccedbabbeeeceecdeeabccbdeaccaecebcbdcbbbaacdeeaeabdccdbabbcbdcccacacaceaaacabeaebbebbbacabbcaddbecbabcebddabcbddcacabaebbdbcbcebeacaaacaadacaceebaabbaddeeacdcdbbeadabaecdbacbcdcacbdecdeaacbcbcabcbecedecaeeceaaddddabaccbedddcdcecadadccaebebeeadaaaebdddbdeebdcaeedadbcceeeadcaecedcccdabbaaaeeacdddebcceeadbeddcbadbebabdbedadedabcbaaedeebecedbaacaebdcedebdbacdacdcbcabdaabccadbcdddacccacdcabdeddcaadaaebbaeddcadccdaeaaddcabaedaedeecdacbcceccbeacadabbacdbebaeeadeacdedaaaaadeedccdbaeeccceaeebdedeaaaacdadbddeebddcdbaaaadaedbbbcbbaecabeeeeabeeeadaddcbccbeebebabdaddadacccdbeeacbabeedbbddabadbebbecceadbbbbbeabcacbcaaacdabccabcaabccbdebbcdbeeeeaddaedcaabbcbabbabbecdcbececcacbbdbdddacdcdaeeccacdbccddbddcabedddcdabdecbabaabebdeddeacdeeaddabeccbbaabeebdacaeaeadadaceaddbbaadcadaddeabececabecaadcaaceccebddcaecaadeabbadabebebaaaeeecccebcecbdaeaaaacacedddbbbeaceaeecdeabbbcceeddbddaeadaedcededdaacedbcebcdbabecaebeaeecedccacddccdecccbebcaeebdaadadbcaebebaabdaabcedbbbedcedabaecdaebcbdbbadccecedceebaaceebabadcbebbdabdabaadcdcedbcaebbaebddeebadeadeedbbbcbcbcbbabacdbbbecdcdaceeebceededeebacbedcadeaeacabdadabcaaabdedbceceacbaddecdbeeedeaebcdcdbaacbbbeebebedcccaadededbecbabdcaeedcebabeddbaabcadbcbeedebbaddeacaebedabedddddbbbaceaeadbdcabedddeaadebdabdbbccdaebccadceaacaabebebebaeecbbeacebddeacbcaebbadedbabbebdddbdebedcdaadddcedddbbbccedebcaddebcdcddebaebddaeabcbcbcddeebedbabaabacdccbedcaeeccbaeeeacdabadddbedcaacacddbababacabadabcadbbdcebccedbacecaadaceeadcaebeddcaeecbedbbcdcebdddbdeabaaeaeebbbaaecdaeeabcacbabcadccadbbaadabeedccbacbadbbeddeddebaeadecebdebacecadcbdcedddcbcaacebadbccddaaaedaacdddadaeeecdbeaeaececcaecaceadceedededdaebcccbedcbebdbdbaeeaaaacdacdbebbabacdeccbedcdecaebcbaaabcecaddeaaecbbabbcdcbacccbaedbeecedeccdccecccdadbccadccdbbedbdceeacbcbbeaaacbdacaabeeaaaeeaceeedcdaadadecacdecbdbaaccbedeeccbddeebccbbaccedebcdcceadcaaaaaaebbccabecaeebebabbcddbabaddeedcbbdbbeceabecdecadcbbbeddeeebabebddddbadcbeecbdacbaeadeaaedaabcedeceedcdccaebeeaacdcddcedadbbddbbebadbabdebccedebcadcddadedeedaabdbceeacccacbbbaacecceaedadadcbdecbeaacdbcbbbedcaeedbedcacbeeedaecddbdeccbdabeddcbbcabacedadebccdbdeececeabadebbdbdaeaedcddbebdddcaecabecdaabdcbdaebeeaacaccbabbaededabbacdeecaabbedbeecadecbaddcebdabccecabb
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaababaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaabaaaaaaaaaaaaabaaaaaabaaabab
aecdeeabbaebbcdcddebbabbdaacdbabacabbeecbeddcaeececdaeeeceeeddbdbaccebeadcdaeedcdddaddaeabbebecebeeaaedecaadbdbebcacceadecbeccadcdeaaeeedaecdddeacceaaebcadbdcbbadedccdcacbdeacebaeebebdaaebceeaacdcebeaeeceaecaabbecebbecdaeebcaeacecdbacdcadbcbecebeecbbcbdbedacedbabeebedcdeedeeaacddcdeabaeadaabbcebbeaadecadeeceacaadacecbaaaabdcacbaeacbebbcdcebbcddabbcceacbdaacbcbcecccabeedcaaeabeecdabddeccedeeeacdaecbaacdccaecbddbbabedbecdcbbdaccdadcbacdebbcdbdedbabcbdeaadbebecddbcdbeccdeaedcbabeecbbacbacceeabbebdbeedcaedcceddecbbaceedcaccbcbeeabceeadaaacadcaeeadcccececebdecaaabcebbcabaddddaeedabedeccdeebcaaeddbcececaedcdddedebcccedaecbadcbcedccbbdbbacbdddcedaeceacaebbdbaccaddaeadcdceaababbbccbbbdadeeccebdcdbbbdedcbcddbaadbdbdedacbbabceebebcdccedeababaadedeeaedbceeeaddebbbcedebcebdedceccbcaecebaddedeecacaaebcbbeeacaeaadbbaebdddecadaedadacbbbceadebeaaedbedabbeaaeeaeaaccdedbeececdcccdaccaeaaebdbaaecaececbeadbabbd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaazaaaaaaaaaaaaaaaaaaaaaa
dbcceceadecdcabebbedecbeaeaaabdabbcadcebaeeedecacadeaaabcabaeabeaaeaaceaabcbbaccddebeedacbaccbcdecedcacecbeddcdceeadbdbdeacacecaabbcccabcdbeaeabdceaabdceadedcdeaccdbbdbcdcedcdcececcebcbbaaadbabceadacbbaeebedeaedbdabcaadbcdcdcdadaadaccaeadebcedecacdaddaadadacabccddcceaeccaddbcdbdaedebadeaaaecdabcedaaedbccadeabbaddbdbeaaebabaccdaabccececdaacababaeadbdeaececeebbbdbdabeacebdcbaecdeabeccdecadbaedebdeaebedaabbacaebeacdcceabbabddbedcddededbebaddcadbccbacbdcccddcbdaaaddcdbcaecadbcadcddbddbbecddaccebccddbebebcbcaaeeabaeccedaabdaebadebceeedacbcbecbcbbbeabeeedbecdddeecadabbeabbaadbaabdaabeeedbedcddebecadbaaeeaaeeccdbaaddbcaadedabbbcaaaddadcddeeadeeeaeaddecbdaedbdaacedaabeeadcdbeeeabbbeeacabbedeebaeeeaccddeebcdcabacbecabdcbbaccbbcbeddcdecddeebeaabdbceadabacaebaaedcdcbdcaadbabcdceaebabaedccbdcbacdbdddbdedaddadebcbabdcbadeebcddbeaeaabbdbddebedcddcdbaadbbabbccdcabcbaaedbeabcdececbacdddaecabeecccaedebaacddabddcdcceaeaabddeaccadcdbebeabaddeebbbedacadbbacbedceccacedbacbdcbddabcbecabaeaacaadacabadbbdaadddccabecedabbbedaabccdcccbddcaebacebdcceaaabaecceadaedabdeeedbececbbdebdabccedecddcecadebacecceebcdccdeabeddaabdddbbabdeeebdabadabbdbdedaebabcdccacccaabdcaeccbeadaadaeedbbdeecadbcdabbcacbdecbbedeaacbeedbeeddcdeedcaabddceceedbbcceeadcdcdaedbbbeceacabbaaaccbabcabeeccbaaacdeddacbbebdccebbccbbaaceeaaccadcbcaecdbedcabcaaababbececdeeceadaaacedbacaeabbbddeaedbbacddeacaeceaddbbdedbaeabcdcacbcabaedbdeebaeabbabcbaedcdeccabecaebeaceccdcababcabccdeedeeeccbeedcdbddebcddedddcbedbdcddeebbededecededbdaaabbbabcdbbeeaddbebeddaaddacbdccdbdedaaecdbadbbaddeabdcdeaddcccabeaeccebdaecaaddbdaecabeaeebbaaecabdcceedcaccdbbcdbbcbeebdccbbaabaeceaededcaddadbbcaeadaeeabeceacbbadabeadabccbcdaeeacddbdaebeeebacdcbaccddcdccdbaeeaadadaeaeccecacdaadacbaeebbbdedcdadeacccdedacdddbeebbbbeeacaddedcaaaeeddacdccddbaaabcdcdeddcacdebbeeedceaddbabccddecdecdebcaecaaaeadaabceececeadbeececdbcbbcdcabbebbecedaacceeccbeaaadaeabdbacebacecbeeecdeacabbbbddaaddaecabdcdcabebabbbceeeccdabcccecedccbacabeedbdddbddcddedbbcdabccaadcaedbdcccadaabbeeddecdbbccdadbecdbbebceabcdedbbbadeccebccdeecbddccaccbbcdaecdecedecccdcedeccbbbbddddabeedbdcdeeadcacccedeeaeedbdbcbabcdaaccbeeedeaddedaedaeaddbccdeacbabcaebcdeedaacbccabdeddcccbdbdeddedbcaddeaceaecddbddabadaebdaedcbbddaacebbaabedcececbdabcadcadcddcbdacbdecbabaaebbbaaddcbbbecacbaaaeadbebebebccbadadabbeebcbeebdebaaeaeceabdeeacbedeadabcdbaabcebcedbcedceaccedaeaabeadbedcbbbbecbceeaceeaddaeedbebbbbcaccebaeaeebdabcdabcdbddccdceeedeaeaadddceeabbbeaaeedeadecdbeecbbddbdcabbeedbdeadddcbbbdadbecdbcdadabbdbaeaebbaaeedbbeadeaebeddbaadaeadcdedacadbcebbadbcddeeaaecbacebdbdacbaadabbeecddbebebdddabdbabcbbccadcdbdabaeeeeccaccececdaaaadcdadbdcaacbbddcecdaceaccabddcbbebbcaaeaddccbdacadbccedcebdbcebdbddcaededbcbbacbabedbbbaaaedddaebdcdecaabaddddddccbdbddadeecbabeabecbdbbabdaaacbaeeeccbebadecaacebbddbaabdedcaaaceddeadcdbcbdddcddedcedbededaeaeeecaceaeddcdeaedbcbaeaceadeaaedaeababadbcdadabdacdaeedaaaacbddbcadceaedeeceeaceabaacbdcedecdddaaabadacedbbbebadcabdcaeecadcbeeddbaebcebcbeeaceedbecbdaebdebdebcdabeabddeeecacbebacbdccaaeeaeabcdaddddeedeeddadadbbbebbbedbadbaedeacedcdbcecabeedadbcaebbecdceebbbadcaedcdbbcaaccebbcecbbceddecaaaaeeeacdeddaabbebddbadbabedacedebeddbcaaeecadacebeccebdcdcabbbeeaadccbebbdcbddaebcebaeacaadedcadaadeceadeedeeaceebbacadeaaacbcbacabbbebcbeccbbecccbeaccdccbedbabdaddecbbabcdababbaabcbcababedbecccaeebdacdbaadcaeeecedbdaebeeebbaecdaecabcbbccdbadedccebdaabbeadddbbddebeeeaaaaacbecbeabbaeadaebaeedbdcacdddcbdbcbbaececeaeaeddecebdabdaadcacebdceacdacdcbbbadaadeceadcddddeaababdbdadebebddadbddddeaeceedbdaeaaedceddbaebcdddcdcaacdacddacabacbdbbeecccbccaccddebdceceddaeaabbdbabcaebbdbaddbeadadbecedabadbdeddccdbbbdebdabcecdcacbdaeeedcadebebecdedbbbabbecadbeedbbaedaebecdadbaddcaadbbeedacdddcbcedaccbcaaedeceabdcbbdddbbceccbcdaabceeabedbbecdcbbdaabeaeaddbbcedbdccebebabedabddcddcadbeedabddbcabaeaedbaedbebeaccceaeccddebeccebdbceabccdcddcaacdbebeddaddbccdccdceacddeeeaeceddbedbaeecbeaeadccadcaaaeaeadaeaecbacdecddeeaeddecdcaeabcbcdaeacecaccaedddecabbbbbddddadbbaecbbbbdecaaadbacbbecbcdcdddaacbdaedaecedabaeedbccdabdecbbbdcabeeaaaeebeddeecdeedcdcdedaacceceddcbddcbbccecbddbebcbdbeccedbeceededbebbcdaccddbacaacadaecbabaaadebccbedbecceccbcbdeddeaabdddddaaededbeddcaabcbbcdacabececadcaeeceabbadebebcabdadecbaceaeeddacddceaceaaccbddcbdebcadbaedececdebbcceeeedcbcbdacddedceebabddeeecdcbedceacaaddbbeedaaabbdabeabedbcecddbbbcaacdecaedbacedaddcdebdcdccadebdddcebedcdbcabedcdcaebeaaebcbccacbecdaadbebaacbbeeebecbebbeeedacbcaedddabaabccceecacdaabcecbddbeebcdbeeccbbaebcbebcdcebeeedbbebbbcadadedaabbddecdcceabcaccaaeccecceabccabbbbceddeabcddcedbaedadbbebeddcdbbdcabbdceadbccecacbacebeeeeddebdbdbcdeabaeeccbcbbeabdaddebedeeaaeadbaeebbdcccecbccbbbacddbddedcdbcaaddcdabddddbdbbdbcababedaedccabceceaaeedaddceedeeadebaeacccdcbebcdeddeddaadcdebdacececceddbcacbebdcebccbaecceabbaadaebbebeadbaeabcbbaedcecdecbddceabaccaaccedbeedeaedddaacccbbcbceebbebaeadacdaaebbccaabccecbbcebbeeeccbcdeacbeaaacddcceeeacdebbdcaceeadbeceeadaaabcdebbcddedbdcaabadcceebbccbeddecadeaaeeddbddecadceabeddeaabaaadeaabaacacdecddabaebbd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaabaabab
ebdbaebddebbcccaeeacaeaeaaeedacdabbecaaecaeabbbbacbddecbdbedccdacceecbccbeadedeebbcecadebdaecbddddaaccbcaacdbccbcebaeaedceabbddbbbabcacdadbdcdddbdcbabeceedecacdebddbacabcadcacddebabbbaebadeaacddadedecdaddaaedbaecebdbcddbadccaebbbeedbcecbecedebcbbdeccccdcdeebcadaabddedbdeeedabceccadbceaedcbdeddbdcedaecdaccaabecaeadaadbaacaddbaaedaabedeedbeacdbadcaaaeddbaacdaebccacbdebbedbcbdabeecdaadedcccebdcdcebeeaeeacedccacddceaaedbededbcdbedebcdcbbbcddbeadbbdccacebdaceedcbcdcccacdcbcebaebaecdaccbddacbedaabeacecdeabdabccdeecbbdbcccdecbebddbbcdeacbbbdebecceeaeadecdacecdadecaabcedcbdebadbaadeeabcebabebdedbcbabcdceecccabbcaaabcceaddbeccceaabccdcaecccacadcaddbeedacaedabeadcbcdeaedeaabeaaeccebaddccaebaeacecbcbddacaeaedbecbbdcbaaeaaaabeadabaceacabbadcdacddcecbadebcaecdabcaaceeccbdcbddeceeebcabacbcccedabcaadeadaedebcdadaebaddacbcddcbceaabadadebcbcaecccaedecbabcbbbdccdbccbdceeebbabbabbccddccddeddbdcaabeeebaabcccdddddbcbaeddbcbccbeeceeedcbcaebebdaadaceddbedecdbbdeccbbdabcdbbbbcadecebcdaacedadbcdbbbbbececdbdabacadbedddedaabdcecccebecebbaeacdbeacbbddbbbececcacbedcebebcbbaeedceaeaeccbcbbaecdbcbdcaadacebdebdbcccaeedaedbcbabdcadbbadbaabcaabebdbcdcedcebbadddcbddcbecbbaebeaaacacecbbaabdebbeaddbbececeedaabbbedccacabacacdbebbdbdaeebbacadbcdbbaababebbdbcaccdaccbccdeaaeeaaceaebaedcaaccceccddccbcadbdedceeeceeedceaaccaeddaccbbcedcdaedeaeacdbeecbcabeaeabedcccbdbccbcdbcbededadabeaddcbeabcdeaadaeceededcccbdaecedbabddebbecbaadcebdcddccadbaaacebeabbbbbedccbacddabadbdbceceaacdcdaababddaebbbaaebccbedccdabddbeabaeedbcccadeacababbcebbbcedbcabbaddaedccababcaaaedebddeccdcbbabeeadcdbbebcbeaabacccebeadbaabdeabdadccaeeeaeeceeedddbceabdcbcaeebaebdbecbebbbbbcecaaddebaeadceccbaccdddcccdbceeaecbeaabbadaacdcdbaedaedccacadbddaccdbcdacdbebdabebcaabedeebcdbcbbcabccbaaaedeeacdbededbbdbbcbbddecadddecaeeceeaeddddaccdcdeeaecaddaacaedccdecdedcebceaddeececbbdabceddbdaaccbbaccedddbaecabcadbdeadcaebeaeddbcbdbcacabcacddaeabbeeecbabceedacbddddbaadebebaeddabaedcacbeaddcbdaaadddaeebbebbacbebaeceabacdbddcbecbbeabdeaedcecddbeadecdeccacaecdabebcabababcbaedaadbcabdaaeabdcbebbdcdcacbceceedeaacebbebdedcaaeaedcbaeaadebbaeaceaebadadbccbdcbdbabeddcdeeadccecbccabeccbdeeeeccedcdeccdceebbaeebdedcabaedebdbbcebecaadabacecbbebcaeaaececaccbbeccddebbdbbabedcbbcebcbbcddaddcabeeaadceeaacdacbeabdbdcdcbdaeaecbdcabcaeeacdacecbedcbddbacbbbcebaeddccbbcbbbaeddceecdadeaedddaecbaebebddaebacdeddcdebddaebadabedbdaddeaaabeeeeedbcdcbbdececcbdaedbcebacdcdbcaebdaebcbecacbddabbdeebdadceceaebceeadeebbdceeaeacbdcaebabdcadddceecacaedbbabbdeaeedecedcceddcbddbdcdedddcdedcbebbddceabebebdddebceadabaacadbccededacbbbbcddcabecceabcdcaccceceebaeabeeeacbcdebbccddeadccbadcedbadaeeaaecadbccdebecdeacaccabecbaaeedcdbedaabaabeecdadabadccaeadbaecceedbddbbbaebccabeddabdeeebeeabababcededadbcadaeaecbbeaacbecbdeeadbcceddcdcabaaaeeddbddbacddbbdccebbebbaaedadbdcedadbbbaeeaacedecacaadabecdeaedebadaebcabcceabceeeebcdbbacaaeeadbabacceebbebbeaaeaebacdddccddcdeddedaabdceadbbcacacbdbeecbbcbbaabdeaaeddcdaabaeeaacdcccdcedbdcdecccebbccbbdcccdaddabacdecdceebaccdbeacccbdbdabbdedddbdeeddbedebcbbdbdbcaaeaadcdcebdacabaabbbbedbaecdeedebddeaaabdeceaeaeceecdbabbbcbbbebdabadadebdbdeeecaddeddacecabecaabdebabccedacadeadcbdaceddebeeaeacaabcbaecbbaaccdeaeedeebcecdedbaedceaebeaecdddcecdaccbcacdaebbeebbbebeaaedaccaaddcedeeacbaccbdaddaddaceeadbcbddbdbecdeaedeedcebcedacdeceabddabbcdebcbbaeedbebdbccbbebadbdceabcbaeddeaddacccacddccdedcbbbaaecedaddceeadcaecebadabdaadaeedcbacdeeccabcdeecdaabaebcbaacdbebdeeddbebcecaedbdecdbddabcdeebdaaccaeabacbdbaacacdeadadcebbbabdabdadedcaacceacdcaecceedcdaabebadacbbecacdbbeeaebbceabaeadecbebeabccbabdbcbaeebcbbbececbeceebcbedbccdbcccabecaecbbbdbdecaceadebbcacacccbccbccbeecdaacbdbeacbbbcdbbadbbbcadcdaadbedcbeaaaebbebebbddaeaaceeecdabbdcaaecdadcadbadbcaaedebaecbcebacdeaecaadeacdeddbacbbbabaeaebeddceacbddaadbdddaadedbedbaeecaeebcacbdaadceebbaaebadaaadebdcddacccbcedccbceabcbbdeeebacaaceceaadbbecacadaaabadaaabebcdeedcbdcebcedcaceccaabcedcaebceecccecddbdbbedabbcdddcbeaebcbcddadaecccbccbebbabccebacdbbabadddcbdaaceeacadbbeabadbabdcededdceaebbbdedeaadeedcaceccdceceababacbdebcaddebcdaccdeccdcbedeceebbaaddbdbdcbbdadadeecddadccecbdcdcbcbabdcacbecbcebbcedcacdbaebdebbacbbcaeaeedabbaebddeadacdedacddcbcabeabeccabaededdcaceebadccedcadbcdceddaeacecccebeaeebcbecdcbecebbbdaeebeeecbbcabaebcadbbbadabdaeaeccabcddcdcbababcbbeebccedaaadbabdaabcadadbbddbbcadebbccabcaeabceacdeeeadabeeccaddcdebdddbdcdaddadcecbbbdccbbeedebbeadebbcadcebcdaadadbecddbecbeaebdbedababcdadebcdcaccebeeecebeaeeeddbeadedbdbcaddeebacecebadbbbdaebeabadbccedddedabbeccaaeeabcaeebeacbeababedebaabccaeeedaddebcaebcccaedadcbadaeccbceedcbdbbdbbbedccaadeeadceaeadeddcbdbbcbcacaebcebdbeaeaecdcbbccacacddaaabcccccdaedbeecddaebadadbbbecaceccaeeadeceeacccaededeecbbaacecbeabceebcdcdcbbccdcbcbcbaebcedbcaaacdeaeeebbdadcaaeebeeabacbdbcaecbcdecabebecdedeaeeabbdecbdedbeaceabacdcaeddadabbcebbdceeedbabcbcbadadaaadaddadcdcaebddbcdedccabcadeebaababccdcaeeccdbdaeacadcdcdeedeebdbeeadbbebdbbbcdbbcececaacdeddedcdcaccdcdbdeadebdeacbcbceddbcedbdebdaaeccdcedcadebcddeccadaabbdbcedcaedaebeaaeebeaaeadeebbcecdebedcdccbd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaabaaabab
bebdcccaacadbaabcceeedaebeaccbebecdedbabadcacaadeaeedcaccabbcacddebadaebadaddcbbddbadbbcedceedebbdebaaccdcdaccdaccedbebbaedccebbcebaaebddbbaeaebdaecbbbbeaeaedbdacdbcdcbebacbeacaeddecbbaebeecadaabceadcabcaeaacdaeddbeededdbdeeeedaeacadcececdeebcdbbecabccceeadcecbdeacabdeedebeeeeeecdabccbadecbebebabeaaeccaacceeaadbbebdecebeeadaaedadcbcdbccddcbeeedeeeaddaaadacdcdaeabcdccaaeaaacceaaeeadbcbaeebbedaebbcebaacbccadbecedbcbcbbcedacbbdbeceebdcccaccaadeacbbccbdbedddbcbecebeadeaeccbbbddaaadccddacdabadabdaecedbeaabddddccdedeaadabcaedadaccbededaedebaeebccadedadeccdbddeadaceebbddcbcdbabceedecdadcacbbeabbbdcbeadbbcaccccebcadaebabedeacacdbbececabebdaddaadaeeabdaedbabdedacbeaedeaecbadcaeccccaabbbadacccbbccbeadecabadebeddbcbcbbdcdddbaeecbeccbcacaacedaaaebdcdecaedaebcccceeeaecadacddebeeccbcaacaabbedcaeeddeabacaadbeeeddadcccecabbdbceceecadeebadedacddcaecbaabdaeaededbeccccedcacdeaacecbbeeecbaaddcccdbbdebeccedbebaeabcdabcedeeebabcddebccbbababbaebabeacacdabacbbabddbdbcadddedcaadbeedeaaaedbecccbdabdadcaacdddbcbbaddeceaaaddecaacadceccedadcaacecdabdccdcddaadceccaecaaecbcdbabedbdbddeacceaaedededdbecbacdbebcacdeaaeecebaeaebcddeebbaceecaabaaeacadbabdcdcadabaeacdaeeedbecdeaeacebcadbcccbadeadbaccedddcbecdcedddcdecceeeadabddbaabccebbccdbddadaeecbdabdebbcbbaebeecaabcddcedacaebdaadbedceeebddebcddadcccbcbdabaedcbdaebedccbdbeeaabaddacaaddebdabbadebeebeaccdcaaebaddcbcbceaababcdedcceaecadedeabaedbdddadcbbadaacacaeccecdabbaddbaeeebaeecbaeeacecdbdccaecbdebabecedebdbbcbeaabedbbbddabdadacabdbbeadaedccadeedccaeaaccebdbeaedbebbeccdaecedcaeaeaaebcdbaaebdbeeaadebeecbaceebedadccedcacccdeddddcdeccebecaebacccbbedcddcecbbebedccaedecebaecbabbbbeccccbeaaabccedabeaccbbbceeaeecdaeceadeabbddaeadbecbcccadeacceeeeeeddaaeadabeddadaacaddbddbbbeebdbbcadacdbdaebaeaddbadcbddcccabdadeeeceecdbeceedcceaadbaedecddbabdcdddeeddeadbaebdecbcdabaadaaaeeadeddcbbaacbcadcdcbdcaedcdedcccdbbcaacbbdcedccebebeddaaddabddcadbabacdedcbdecdeceddcadcebbbcdedcbcabcdbbedaaeddcdeabbcecdeaacabeaddddddecabcebcbcdaccdebbadcedbddabaecbcbbccbcadbeecbbeacaedacaebeabacebaeabeeeaaedaabbebcbecddcacbadadaeaeadbccddaddbceaeedaeabbcebaeeedaacdcdddecbbecbdabdcdeaeeccbedcbcbbdebccbecddbdebbbcbcebacccbcbbeebeacbddbedbdddaeeacccaeeaecbbedeaaccecaeaceadccbdacaccdcebbddcbbdcbaceaedbdbcedeecadebabeaedacaaddbbacaabacadeeeacdebeebdeeeeeeedabebbceaabddbaeaebebcddebeccdaccedcdeebabaedddabaeeedcbbeccadaeeedcbbdabcabbdbcadadabbcdbbeecbebecebddbbcdbdedabebdabacbaedbaadabbadcaaadccaaccaaaaccbcdaddadcddeaeaeecdbbdadeddbcdcbbceaaccdcbdbebbeacbeaeeeacceddeeeabceacdabbadaedecbaddacbbaeaddaaadebbbbebdbcebcdedbdebdeacaccdcbaabaddcbeaabeacbcbebebacaaccdddeedaeeadaaebbddeeaccdebcccdedbababdcceddaaaadbeeecacceccaaecdebdcbadcdbdebebecbeabbeddcbdcecaeababcaeccceceeabdbcdceacbaaadcdaebbbcdededeeeeabebebadeabbdddbabaadcedbdaeaedddacbcbcdddbaeddcabeecbdaccceaebcdbddbbbeeeaacebabbeabecbebcbddbceadaaabeadacebdcececdaaebeceebbceeaeadddabddaabbbcddbaeebbebcddcdaeccedccdcdaddcdbacaaecccecaacaaebacebcbeadcbdaceeddceeaeabeebbeeaaccbeacaaaaebedeaacdadbaadaaecccdddcbbebbbdedddbaabccaadcddddcbbeacacdededebadcacecbecbbddbebedebbadcaeddbddccdeebabccbbbaebbeeeaeadaebdcebeabceddacbedcbdcddbcebbcaacecebaedadcdaabddabdaebdeedcacedccecbeabadadbbcdadebdedbbacdccebdebbbbeabecbabcadbdcdeebddbdaecdedbaeeceaeedaddcecbacdaeaabbaaadacacebabcbbeaeddecdbacabcbdbbdcdadcadecbbedbcadddedccccbcdedadccecbddaecdcdcdcadabcecaaaacbeebcdeeddeebcebedbeacedcdaacaaddcbcbabdcebededdddebddebaadabcceebcdabebcdcaccebbeccaebaecaeeddbbabdbeedeaecdddecdececbadceddacccdabedbcccadabaddceedccebbaadcaacbeaebeadeaededeeededdadbaaadaaabcebcecbadcdceecceaedaaacccabdbdabddebeaccabcaaceebcadacabdbddeaceeadeebccaaeaeebabbdaebadecceecdcadedbdccbeedbdacbeddaeabbadcccaeecacacabcdedcbbaebadbcdebceccbabaecbabcdcebbccdbdcecbcedbdebcdcbaaeeebbbadebadabbecabeaeaeacebbcdcaebcdabcabcdccaadcbdcdcecbcbbeadadeecdcaaaebecadbdcabdbaeddcedcccbadbbcacccaadcadbcbceacbdbdeaedbdbeddeeedcbeacbecbbecaeaaebaadecbadededdedeecdcadcaedbdacaeaaabbecccdabdbbabccaabedbedaeacceacaccdcdcbbeabecbbedbacdeadabbceaddeaaaaeacdebdbabdbcdeeececcabbebaeeedaceddedcdebdbbeaeebadadccecdaaadebaaaebaceecedabcbcbdeecddecdabacbbbebceeecebaedeacbdeccccdbcaddabeaadbdcaaeebdbaaedeccadeceebbaceaaaeebbeececeecdddccedcecbacdedaeababbcccbbadbabdeababacbeebadebcdaedadcaaebebacbcabbceadaaeddebccddbaeededabaaaeeebbdbbdcdeaacbbebebdaebeeebeaddbbcbeececdbacebedacbabcaedadebdcdddbecbedaeedbacadcbddddeadaddccaaaccaccdccbadccdbecaebcadaadcabbbdbccbbbeecccbaaaebeacacaeedbeaeaebaabeebcececcbdedabbdbcecbeadbeaacacdebddadcbabcabcdcabdcdedabcaeddceaababbadacbbbebeeacbedabcabbcebeaddbadaeedcdddcdecaacaabdadecddebcdbbdcbdebdaaaaeeeaecbaeccecbeebeaddadaabdccdcdceadeeebdedebbecbabcaaeeddaeceeacdaedaabdeaeceababbcbcdbaabecadbbabaaecbdbdaaedcbdcbcecbabaaaaeedbdbecceecbbdecbdeddeeaabeaacecabcdabcbdceabecedeccebdbcbedebdeabeeacceeebeebedccbdddbbcaaaeaadaabddebceabbecbbaadddeeebdadaeabbbebdccceeaedbeccebbaeaaedbbcdeceeebaedabcabdaebbdbcaadeeeeaaeeddbcbaabbccddbdbeddeebeebcaaacbabcdabdaedaebbdbbcccbdbaadbcaeaaaecdbaccabebecccebbdcaaaebaeecbeaaeedbcaeecdbaeacbce
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
beeeedcbacbbbcecccecadcbbeeebaacdbadadbebcddaeaeddacabcacceebaedcedebdcebdabdbcbeaaaddcbaaaebdbccdedabdaadcdebbbbcdbadebccbeabdeeacdbadbecbedebeccaeceedbebedeedbdcdecebbabdbdcedcacecdbcedaedaecbcbdcbbbbdeaddedcddaeebdbdececebedcdedbcbeacecbccbcbdaaadeccbaceeceadddcaccbcebcddccebadadedabbbdebcdcdededccaaaddacbdbceadabecdaaebceeebddebeaeaddcdcbcbbbbbddeeeeccdcacbebbeaaaebaaaccdececdeccebdbdcaecbcdacaecbedccebbcccaacaedddeacaeaaeadcaedacdbdddddbcbcabbaaebbdcdcaabbdbeebabdcbababbcbcbbcacbacededeaedacccecccdbeabcaaacdcbebccedbeedbdcbbdcdcbcacccddbabeeedccaeecdadbcdedbeceeeeebbedbcbcebabeeedaacdccecbabdceecccdadeaebedaeedaeacccbdeccdbbdecaeaedddaddbaeabaabcbedcaadeccbbeeebcdbcabdabdecdacdecbadbcdaeddadddceeccddbcddcdcbcaccacedcdedeaecbccccbedddcaaadacddcbbededacdabccdbbbccacedaaeacaebbacaeabbcabcbacbcbbdebacedecaaebdedbdaebccdeecaeeadcdeccbbbccbbcdbbdaabcbadcedeeaddbeeaceaabdeddecdabeddceeddcbceeeabebaecaddeaeeedcceadadbddaaadeabdacbbaececdbccaecbeeeeebccbbbcdceceabddebdcbdedcaabeadeaabbeeebcdaeaeddbaecacdbedcdebebacddebbbdbddedaeeabababacbecacdeecbeadeecedcceedaabdebaaedeaedcecdacdabcacbcddebdedeebdabebbbecbabccaecdeeddbeeccbbbebcebcbadccbbbcaaecdcadbbbaceaeaaeccdbabdcceabaeceeddaaacaaadaaaddbcbceeedbaecaddacdbdabdcaeddcaabaccdcabaacabbeadebdecaaebbedebeedcddabceebcaecdbeaaceddecedbdccecadeccaeceddbcabebaecedadcccdcdabbbbeabaccbbbcacacbacdeccbedcdeeedeccaaebdaeaaadacbcbbbccedacaeaccedaceedcaabaabeedcaabdbebeaadabbdabceadcddcbddebebbecbeceedaaadaeeaaaaacedeceabcceedeacbbdecadecddcbcadcdaaaeddceeeddbbcaedecbdcdcedbbcddaccecdcaaaabddcbeeabcecebdcdddaecdecebceebcecaeabeebeeeddbdcedbebbebdbdcedcaeeeebdbdcecbedabedebeccdaaddebeeeaebeccdeceacbdedecbdebdccacacdababebbdeebcaaebadbddaedeabaabceaebbdbebaabccdcdbaedbedbcecabdcdbadceddeccbeedecdbdaebbdccaecededdecacdbcdcdbcaccdedccbaaaaaecccebcbccdcdddcccbcabcaaaababbaaceddedabdacaeadedbeaabbaacbccebeeaaaecddbeececbabaeaedbdbadbdccadcaccaaeebebdabbebbacaaaeaaacaadaebcddcbdbebcaccdabbedaeaeabaaceaededadcdedacddccececcaeebeaccacbaecdcabdcbaadbcddbeabcbcceeeaadcdedceaccebbbadecdcabaeebbbabbaeaecabdbcbaeebaddadedacdaacddcddbcbabbceabedcaaedddaabacaaaeceedbcdabccdcbaeeabcddedeedebeccbbebbdcedaaeaebbdaacecdabcaedabcedaceddeedebababddbaaacacbddeeecdcdececeabcdeeceaaebebcbabaadcdbabeeedeedadabaadbddebbcbaeaecbbbeeabeaedbddabcadbaedebdbdccbddbadacddeecdddcdeabdcbbbddaaeccebacbeddcbeaeadcaadddaecaccbdaabcdababbbbdabdabdbcdaadaeadbddebcccbccbcdcccbaedccbabbdaeabcaadcbbdbeccecaaecdacbcbcadbadabdbddabbcadeedbdedbecadccbccbddcbbaeadadcacedbededabddaebcdeaeddaedcdecdeabecbcadeeebaeaeeedaceaabddedaaacbadeadbacbcaaaedbbdddbccebcadbacaaeeadddedbddcbdcccdddbdbbdaaccaecdcaabaeecdcbddeeecccbbcddbadcccdaaebcdaaaaebdbbeecbacbdebaacceecbdebeaadcedcecbaedcdbdaeceecdacbdbbbbeaceeeaedbcccabebdeaddbbbbaeacabccdcddecebaaeedaedabeebbaeaaaaaacbaebaeeccddcececbeebcdaeecdbaabcbdeedbbbeeccacebbdacccbbaccccbbcbbeabeadcabbebccdaadebdcddebcebacaaecdbaaeacedddadadddbdbbcbdcdaaddabecbaaceddddbcbceaaaacdddaeeceeecddeaacbdabaddabcccccdbddddedadcbdbccbbdccbcacbdabeadacbddbacdbabadcbdabcceaaeedeabceaceeaebacadbebbcaaaccbbbdbddbddeebbddbcbedbdebdbccaaadecddcadcedeacacabdadccbbaebaceaeeebcdacbdcbccccdbacaeeeedcccdedebdccedbadababecaaaddecaeceaebcecdcbeeadcaaeeaacddcbbddabeedbaeebababdeedcdaabbaccbbabddcaabbbbceedcbecedbdabceeeddaeadeaaddecdeabbbbaaeeeeabdbeeadbcaadedebbbcbebbbbebcbbddacbddcbbcbbcbcebbdbdbddadaacdccadabeabacdcbbdddacbeeabcbedeceaeabdaaedbbbbaeececaaaeaacacbcadedbbebcebdbcabddbabcbdaceacaaaadebaabeeadcdedebaabaccbebdaddcdcbecdcbdbdddbbabbbadcdaeeeacbdeabaedeadbdcedeadbcccccdbceadaccadcecdceccbacbbbceceebaccbcdcbbcadaceddeeecccceacecdbcdbcaabaeaaabdbbbcddaaceccbaccaaececdddbcbccabecddeecbbdebadbeedddaecdecdcbeadacdceaaeaceccdecaecbcdecebaeaaebddbcbbacadaacdabcceaedcdedaaeddccceeaadcaaaeaeeacbbdbcbcbceedccacdcdbbbaacaeccdbcacaebaeacccbaccbbcadddbceddabcaadddcaeedbedcaeacebbbecdcbbabbdbacadbdeeddaacdbbbeecccaecdacdbeedcaceecdceabbaadadeebebaebaeaacdccccbbeaaccbaaaeebedcaceabbdddaebbaceeaaeedecdeddcbcbdddddecacaeaabecaaedaeeeaededbcbcabbcbdcacddbeaabdbbbedbeaaeebcbabbaaeeeeecceddadaedddebacddaabdaceebdcbddddddebeaeeeedccdbedcbdadbeabeeebcdadcecbabbddeadbbccbaaabecabbbaabcdbeedaeddecebbaaecbbbcabeaecebdbaeaebdabcdbebeedbdcaebccdcdbbcceaebbcbedbbbacbeaedecaadabddeacdeddecaebcdcbbdaaecceacdcddeaeddebabbceabceaddbabcbeadeabdcacdaabbaabdaaeccbaeabbebcbdbcbecaeddeddeeaeceeddbcaacadbccedbeebceeeaeeaecaabbeeeeedccccebeabdbbdcadddcccabcadabcdecebaddbaacbbcedabecaeaccbdaabcbdcecdbcdeeaadeaacdbcdeeabecababdedccbacdaddbeeecbcecbccaedeebbaadaaeddacaecebedbceddcbbecbbeddecaceeeacadbdeebcbbbedecdccbbcbbaaddeeadceaeaabecdeadabaabbbddbdaaecaaaceabebdaecdcdcccbabebacabdabdcecbabbbbdeadcbbaacdbadbebbdceedcceecdeadcabceecbedabcdadadacecbecacbbabbbcddeebaacdaedeceaeabebdeaabcdeeceaddeaccbedddaeebaddacdbaabedeedabdddeaeddceaaeaccbaebceedbedeaadcebecddabaaaedbaccaabdeecabdbdbbacdecdebcedebbcddecdeaceaacbddcbbacabcdbeaeacceacbdbdaeaedbdeecbaabeeaedadbedabacabaecdacaacdaabdaccebbdbbdcaedbbcdccaaeaccedaabbcdadeccecdceecbeaddceedaaba
aaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaazaaaaaaaaaaabaaaaaaaaaaaabaaaaabaaaaaaaaaaaaaaaabaaaaaaabaaababb
aaebadabdadecbeecadbadcaddebbcdaceceddecedadbdababceadeedaccaeeebceeecaeabdbddddbebdddcccdadcdccaddacdebcdedaaeeebbdbddcacabdeeebdabebeedabcabcbceddeeaabbbddaeddddcdedddcdadbbabcbbceeddeaddecdabceeebbacebceebcbdabedbbcbeabbbbbcddcbaacbabdadcadceeaabcdbdbcadeaaeaeaedbbdeaeacbeeededaeecadbeeebeeaaacddbaccccbbccdbaaabadedcaebaadeebcccaacbbacbdaabeeaaebeacadbbaddbdcdceaddcccbcbedeabaeceeccacccacbebadddcedaedebcdccccdbaabcccbbaebcaedcebdecbcccaebddcaabbba
aaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaabaaaaaabaaabab
deebaedcbcdaacdbcbcdabccccbdbbdadecdcbddeeceedcaaeaabdbededeaadaaececabcceaaceadcdcdbbbadbbbdedaceeeecccdcdbeadcdbdabdcbbabdbdadbaabbebdebebddcdbbaaebcececccccbaebabdcabccaecaedceadcbaeadddddbeeabcaeeedabaeddacdbdccacddeddeeadaabeecabcbddaabbabadadeecddacabebbedbdcddadbeeeabbbcecaacabdbccdccbdaeedadeccacdeddbbbabbecaecbeacaeadcedbcdccbcecddeddaebcdedcdedcbeaabdeceaabbbcaddccadddcbddaabccaadacacdeddadcbaebacaebbdaedabeeecdbeaebcaccedcdeddccddbbeacecaeeabaddccedebdaebbbbccedcabedbdcabdbeddebdbeaccbeebccedaaccadeebcacdaecbdbcedebaeeaeeedaebcbdaebcadceeabeaaecaaecedaeeabdeacbedaecdbeebbdeadebbeeabcddabacdcbbcbbaeedcacacbeecccbcabeebbcddaecdbcbaddcdcbeeadabdaacdedadccadaaeccbabecbeaedacaddabcceeaaaaaabecacccdcaaabecaecbdbcbadccbbedcacadddccdcdebccaceeedcbbaeccdbddccebdcacdccabaacacdacdbbbecbeeeecebeeeceddeadcbaeeebbcdeaadcbdeaccedcddebcacbeebbeecddecadbcadaddbcecdadcadaddeedebdcbabbdceecdaddedeecdeddadeacacdadaabdbeeadbabecebacabdcdcdcbbbedacdadbaabecbccccbbedaedbdccbaeebbcdeaeaeabddbeccecedadbbbacaccdaacecbadddaabacdacdeaabbccecaabddaccedecedcdccdbceebbddeaeddeadacddbccabcaddbdbdcedccbabcccaaadedcbeaddaabeabccdeeeacdaeccbecdbeebbdcbedcbbabddcebcdbddbadacaeeaeeaedebebdaabddbcccabdecedcbebbdeaeeaeebecbbdbbbeacebbeacddecdedbedeedaccaedeacebcdadcbcebbcbabdaedcaaaabeaddbecdbbaabcaedeeeabcbdeddceccaabbcdbeaeaebaebdabdcdaaacbebddaedcabeacbaccddadbedddbbbbaddcddaadecbdcbceceebcbeecbdcedaeeebcdbceccbbdbdabeeeeddbcbeebaccbecddcebeccbeaebecddaadcaeaeaeacbadacdccbaaeebadcaeabedbcbacaacdacebccdddbadadecadaecdeddccebabdebebdccaeebcdabbebbecabcdbbdebbabadcccabbeeebdcbdbaeccaddeaeeeebdbbcededbbbeabdabadddecceddbbbcbdecdaacabcdcdaddcaddbdacddaedbdaededbabdaeadcedecbbedcacdacceccdeccbaddbbbabdeaedbbdaeabbbceeecacaebbcacadaabedebedaaaacbabbdaeddabcdeeaebeeaeebaceddebacdebbbaaadabedbccdeebeebdebceeedabcbbbbcdbdbeedcebccdcbbbcbbbedbccbedadcbbcaeabdcebccbabbeebbeeccaedcadbebebccedbedccaaadbddccdaddeaecbdcdbcbccccbaceceabebbeacbdaacebeaecdccdcaaacebeaaddceeaaddbbeeabedaabeacebacaeabbadcedbdcecdebddbbcabdeabcaceebbbedeaeebcecbccedeacbaddaabaecdbeddcceacebacdbdcacbdeadeebddcacecceabddddcbeaabddaacbcbaeacbeaebadddddedeeccdbedaecbeaecbbbcaaaaaeadabaebececdbbabaabdcdbcabececeaeeabbdaccdaceaabcbdecbdbdcedadbecaeddadbdeaccdbcdbdccdcddbdeaacddeecdbbadcbdecdbdceeebddbecceacecedbeeedacccacceebdaabddbbbdbaabcbeceadbabbaddaeddbcedbbacbdaeecdccabbacceeaedccbcdeaebebcbaabebdddcabaeddceaedeecbedeaddedbdeaaebcbeaccabdbaaddcbdacebabcbbcaaaccacbdceeacaadcabdbaaabedadabdccabaabcbbabbaeecaaebdcceccdceeebceacdabddaaeacbcecaaadbaedbeeddcbbbceeedeaaeedbcbcaecbbbbbbabacddeaaebadebeaebbeccdeddbaececeadddadbbaeaaddbcaceacdcbebccbbeecdeddcebeccdeeceebacbecdeeddabeeadbbdbbeaaebaddbbccebadaaabeabaabadcebbedeedadaecdccdccaaabeedaaabdbaebeeeececcccbcdbeebddedbacbdcedeebaccdabeaceaedecaeabebbddbabccecdddabcadebaadceebbeecbcceacdbedeeeeeecaddabbdbaccdbedaeabbeaebccbeceeeabaadcccbbbadccbddecdbdcebeeeaacbdcabdccadcdecbedceaecaceadecdababadaabecbcceecaacaaeecccabcbddcbeebbbdbbabbcecbbeceadceecadbaabdacaddcdcbeddeedecaaecdecdbdbbbaacdccdeeeaecceaceadbceabdeaeabedddcbaccaebaeedadcbbdccecaababbdddbccdddadbaadbccdbaadedbecddccdedebbddaeecececbddeabacbbaedccebbcecbbdaabbbbaaeedadcbadbedaaedddadedbddeeebdabbcacecbcdbbcaeaccdacecadeadecbbbaaecebbbbebecddbcdcbdcedcbbdadbebeedcacaeaceaecacbeedbcbebeaebdebadbaabadceaaceaacbcebcdbecaceaeeaabadeacaeedcaacbabcbabaadbeedacdbdbdaccedccbdeedcdaceebccbaccaabdbbbcecaabdcbecbcabddaabbedacbdabcabaacddcdccaabbcdaecadabdaececedccccdebbebdbbbdecdeaabbdadeaaeeadcdedeebadcebebcddbccabdbaccaaaeaeadeedcacbddaedcbaceeacceabacdbeccebaaecebbeebeacccccebbecdacbdaebaededecbbabedccdaceacbbdcacdeaeebeaadbeabebaedbcbecddabeddddebbdaceebbdecccdeedeececcbbcccaccabccbcaaadaeddabcbcaeebecdcdacacabdcbeacccdbaaedabeadbebaadeddcbccbdeedcaecccebeaadeecdacbdaeaebcebcbedeaadedddeaabababedccdedacbadecdbeedadebedbedbaabcadccaacdccccbabbabdaeaadcbeabbecceaddabacbeacaacdedecbcceddcecaedecacbcadcdadaeaabbbabcdddaebacebccaebeeeceaeacdcedbaaacaaadadcbbbccadcbecceebaccddabaecdadcacacbcaebecceaaaedeaabcddcaacceedcdccdbccbedcadecdbcebbddaacebddcebbedaabedabcdddabdddcabbbbbabaaebcbaadbbbeaabbdbccaaadecbaeacdeeecceecdeaaabbbeebcdacbcecbabababdecdbaaedcecaccabecbaccdaddeebeaceeccbdedeebedcddebdebdceedddcabbcebbabaaabbeeddabaaaebadbbcbcecbabeaaededcbeeddcbcadaabaacdaedbbbccebbeedcddcbddeadeecadaaceacabaadecceaadaeebdacdeabdadeadeebacdbccedceebcaddbaeeaebbbacdbcdbbaedecbeaeccdecaaaceeabceacadabdeeedadccdabdcbecabbedecaccbbccdbcaceedeebcbecaadecddcdedcaaacebbeaaccedaaebecdccdadddeabcbdedcdebeceaecbaadbcbccdedeadbbcedeccecddbbcbedceeaedcccadeadecdcadacbdbecacbededbdedbaeacbccadbcacadcbecdadcaeeeeabcdddcdedbbecacaccdbacacbecbcbceabddaaabcebccbbccadecddccdeadbabbbbabebdbaccbbacdbcaaaebddaecdddccaaddabddccadcabbadeeeebcdccdeadeedbeeeebdddbcccdbcceeaddacccadbaadbbbbccdbedabbcdedcbabebaeecbcbbebeccbdddbdcdeddcbeecbbeabbbbdcbdaacabaacdbedbacbeadcacbddaecaaeeaeabbdcdaaaccdaccdcebeeebdbebeaddaabcbeadeababbbebdddacdaadcecdddacdaceadbbacaabcaceeabbddbbadcccbbbbdddededcdddbdeeabeaacbabeecc
aaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaa
adceadbabebceeabccccadddacddedeeaaeabcecdaddbdabdcadeeacabcedcbcebeedeeacaebbaaeceadebbbaceabaedcecbecbeabaddbeecaeaedebebabddeebdadadceaceaaccbecbdaaccceadaadbecaaddecaabaeccebdccdcbabcbcbbabebadeebdaebeabdcebcbaccababdebbbebcdcdbadbcecaedaecabcabeabaaceacbebaaaaabadacabaceaaeedeeadebbccccdccdceaadaebaeeaaddbddaededdacebbeabeecbeeaceadeeecdeaedbcedddecabacabbcbaaecdebedddcceaebddccabdeadbbadbecddeadebdacbecaecddcdddbebeaadeeccbacedcbcdcecbbeeeaebdbdddabdacaebadceeaeebbcdadeaeadbedaaceeacbdceaedeebdbdadddcbabaddeaebdacbedeecdbaaaedbececbdddecbecccdcbcacdaadadbcdcdcebbcddccddadaacdccbbbeedcebecddeaaabeddbaacdcbcebcbddcecebadcdbbaddadaabbaacbcceebebbecbbcddcdabddbbdeccabbbdbeabbbbaaedcbeecedbaaedcbcceeacdcdebcbcadadcededddaaeaecdaddadcadabbaebacddbacecdcecbacdebdeacadabeccebeccbeaacdbaabbcaebdddbdbcacaeedddbeacddbcbddeccacebcccdecaeeebaebadaebaecadebeeecccceccaceadddabdbebeeaeeddcceaabacebcbeeceedbbeecddbcbdeaebcdaaecedbaadcddacdaecceeebaacbdbbebadccccadacbbeebeddebadeceacabdacbaeccccddeabaddbcadeabeaceccbabeeadaccedbecabcebabbdebbdaaaacdebaecddaadcdcbebbebcbddddbcacadbaddedcbdadeeecabddadbdbbadaacdaddbbdeaedbbddacdedaaadecdeeecbebebdcbecdbddbbeeccdeeadedacbebdceadbedabaadbcbdbbeeabaaeddaededdedaabcebbdaaceadadcabadadbabaccaeaaccbdeebbeceeebdebaaacdcedbdcdabecbbcdcddacceacecbecceeceabdedceceacbaebddacaacecacabadaaccdcbcdcbeadedaaebebaccbddaebaabbddedacebabbaeddceadbdaeaebceedaaadbddbdbbddbadbeecaedaaeaaeadeeaecceeaddbcbdaacdabebbdaecddccbdebadeecdceaecaadcaebabdecdddbddedbbccdcdcebcaccedbedddbaacedbeaeebbaaeeadccacadaeadedbedcadeeadbaebadbabdccbbddaccaaceaacdbeddecceacdbeccbddedececcbabcbccaeddacbdebeaddacacdcaabdebcaaeddbeccadcbdbbceacecbcddbbedeabaebaaaecaedbddacbcdadccdccacbccadebcceacebcedaacacceeaecdccbbdbababeadbccdbddcdcccbaadbdacadabceadceaebecbdcacbbdcbccdabbedcebcacadceeabbabbcecadbcebbdadcaaadecaebdaacdbaecebeeccadcdcbddddbeabbdadaaedbacdcedaccaaceadcbceeaeaacaebbddbedccebddeaadabbacdbbebabeecbadbedbeadbdabebbcdbaaeababccaceaeadccbaddebbbdaacacccbcbcdddeeccddebaeeccccbdeeddaeeadcdbeddaedcaadadaaacbecbcbddacccebccabbecebcddbdeeeddaaeadaaeebabeeacdecdeceaababbeacbbbbcdedbdaccaecbdabadccdbbcaadcbabebddcedadcbbadcaaacbddaccdaacbabaccecbebdebcceedaeeedaddbaceabccbdbeaeecebcbacdbabdadaeaabedacdcbadcdeaebeceeedebccaaaaaddebbecbddbadcaaaaaeeeebbedcccbaecdcbbaaadbebaabaddacdcbacbddacbccdeeedbcbdaadecebbadcbdeadbacdcbbabbdebbabddbdcabbebccdaccdacbeccacdeebcccccebacecaaecddadccdbccdedcacebcdadbacbdbaeeedbbcccabdaabcdedceccdbbdabaaeaadbbdcabcedceccdccbdabdaddbcaaceeebbbeeccecebabedcdecdaecdbeacdebedadeccabddbcacadbbadbbadbcaabebbcddebaeedceadddeceabdceaadbeaceaeccddecebebeacdbbeedbbabeecaddacacadeaccddcacdeeeccbcceacededeaeddabeceeeaecababbbaabcccbdbedceadcbebaacbadeccebebcbccdbcceedbdadbabbaadabbdbcdecdebabbccdedaeddbadbccccaabbcbaddbacbbbdedcebebdbdebdbcaeebaaaeeabcddcedcddbbccacbabbcdddeecdbbacdcbcbbcbcdbccdddbedaeaddcdcbcdaaeadaabaceccdcbbddbdcdbeebccdededbaeaeadccaebabbdbaaecdcbecceaeccedaabadbdbbdaaabaaddccaebbbcbeedeaeccddbedadadedacadcbdeaddbceacdcebcdbccacdaacaeecbdbdbdadedabddbbdcecabebbeadebecddedbeceedbccceabbccdbdeeeeabdabdaceeeeccdcaeaaebaceaccacaaaecdeadeeaabbbeadedcdddaceebbceeaeddeaedbbcdeeabbdecaadcbeddceaebeddebccdaeddddacddaeeaecadecccedeabadeccdabcaaeaabeebecaebebeabdebbddbedcbadebabcbcebabceeccbadeebaebabdaabecdbdaedbcedececacbbcaeceeabdebcedccaaeaeecbaabeacbabbbbcebcccbdcebaeeadacdeedbdcdcaecddecbbbcdededecdaaeacddeebbbeaabddaaeabdeaabbccdeddcbababeaceeeeccbeccddecbdebdcabccdeeddcacdbadbbeedebbcaccaabccadeecbdcbbaacebeadbbdddebbceddcbacaccaecdabdcbbcdaebabccecccaabceddcabccaeeebddaacedbbeacbdbceccbdcbadbbbdaeeeccdacdadedbcdcedebecbbebedbdbaeaecacdeabbcdbeaacdaddbabeceacbbbdcbaaeceebbaccddbceddeceecbabcdccabbacccdaceedeeabcccddebecedbadaebaabddbaebecbebeabdcacedcaabdebdcceebaecaddbbceccbebabaabecccbcbccaaedbbdcbcdaaeceeacacdeddeaadbcbceeeedbeadeeaacbaecadebdddddcddcbabcedebebaddcdecbecdcecebdeaabdecebccbaecbbebbcdcaacbeeaedddbbcecadebbedcbddbdbdeaadbebbddbbbccebbbceacceebababbcecdecdadabcbdeaadccddecadbceccddeaadaaccecacbceaadbeacddecedbceaeaddcbaacceedaaebcccedcecaabcebababdedcebccdacddaababecdacbaecddacebaeeebbbccbbdbddbeabcaacddaeaecbbbeaceaccddacaecadcaccecabebaddeeaeacecceebbedcbeaedcbddaacedabddcebccbadbbccdedaaebacddcbedebccbeccaabbcaeedebecbabcadbcbebcbaabcdeaddbbadcbaacdcaabededeadebededaebbdaabcdcdaddbdbabaabecaebccccaecaebbccdcadeecceebeecedcceecaceaadbcddadedbdcdadddcebebabecbccebebeecbccddcadbbadbaedcdaadeddbcdcaabbddcbbedecbeaddaabddbbcadceeacbdcbbebcbceadaaebacaaacecdacccadccbdcdabdcdacecbcabeaaaccbebbccdcbeacddcbecadacbcdcdabcbadddecacceecbdedbbeccebecebbaaaeedacbacadedcdadbacaebcdaddccccbcdadbedaabcbbabaabaeadadbdcaedbeaeebcdadbadaecdbdadcddcbcbbddcbbdbdabcebeaacdaabacdacacdeceabebeecdbdadeebebdacccaddcebdacabceedcbaedddacccbaebaacaadbdddabbdcdabbcabdbdbbdbbbeedebacbbceddbbcdababbececaeeacdbdbdbcbbdadccadacbacdcdbdbddcdddebebeecbadbababbeadbcdadaddadbdcdaebeccaedeabddbddacddebaaceaddeeadbeebdddcceaaeedcaebbbeebabebaeecebdaaddbdececcccdaecaddabdeaaebcebecdcdbaecbcbbdedddc
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaabaabb
dcbbaadbaebcedddaeacdabddcedaaeacceadeaaccedacbeaddcaedcbadaddddbaccabcaeadbbeeebecabbbedebccdaadacbcebceddbadaeddabaacbebdeacdceebaabbecbebbadbbaaeabeadcccccaabdbcdceaceeaaadaedbddbcbeaacdccadbedbeadbdbeddbcbeccceeebddeaeadecdeaadcaeaddeceacccddecbbcbbddddaebcacdeedaccedabedaeaaaabdddadeebaadbaaceecaaebbaeeeedebeeabcacbbebcaaedadaadccecbcdcdcabeeabdccdeadabadebdceddcceccbdccdcbeebaabebdedaebcdaeaddcebecdbcdccbceebeebbdcecaaeceebeebddcebcabedddbbdeabedbacbadcddebcdeeddaebbecbdacedbeaddbdaabdbacecbdbcaddacacdeadcbbcabddcececddeebeebcedceeeabedeabbbddabdbdcecdaeedcdebbcdbdbddaaadededecbabbddcbaeeaccbeecbeeccebbdbbecccbbaceaadaeebeccaecbecccebedaabeadbccbeacdcdeedbeddcddaaaccbadbabcbecceddbdceaaaabcdecebadaeddadcceedccbdccaeaabdcacceecbccccabdebcaaaacacbeccaaadacaabdeaeecaceecbecaaeaabbddcbccdabadcbdbebeddabeddeeacaeaacdcabdcceceeedcabbedacaadecedceacecdeaddabaaaabdbbabbabadecababbbcbceedbabbaaeadacbabcdbaccecadaaeeecaabeeecdebabcaecdbbceccdbebbbdedbddcdcbbccdbdcddbabcdaceabaeeddbdcbcbbebcdabebdcdeacabadcebeddcebcbeeadebcddcecabbaebaddeeecdcbaceaeadbdabaeeabccdadddcbbcdcbceabaaacdebaddaebddeeacbbbcceacbacbedccaabedbacddbebadddeaaceecdedbaebbbbadaaeaccbcbbcaeaaaadbcbccdbbbdceddeedaedddadcacceaccdceddececbdaebdccdabadcecdcdabccbbddcbdacddaeddddeabdedeeebddedbbabbacdbbaecdcccaabeddcdabbaabaaedbccacacebeabbccccbbcccdcbbadeecdceecbbbbccaacceabceabadbbacccddbbaaebcaaecdcbdbdcbcededacbcbcdcadbdbbaaaeedccbabeacaedcbacddecaaaadccddddcdceeecbadbeacbdeaadddcacdbccaaeedacecbbaaaeddcdbebcbcbbddbedcdcdeebbacaacdcaabdccbdbebbebecedabaebbabeebcedcedabbbbadadeceabdbccadecccdbecadcddbacbdbdbecaeecbbceaabecaadcddbbccceccdaabbcabeaccbedaedcbdedecadbccaaddeaccedbcaebedaddebeaeadcaaaaeaadaddbeebdebcddaabdeaedccdcbdbbeabbdaadbdbeccabeaecdacdbecddeededebeebbccebbeabdceeaeaecaebceecaeddadbcdeeeeabaacbbabbdabacbbbabeeadcecbaeddcdaebadecadbbaeaccdbbacebbceaaddcebdcaeecccebcdcaadddcaeacebcebaeedaaecdecaadedcbcbccdabecacdacbabdaaccedebdaedecedbbdeacedacbeaecabebceadddaadcddbcdadabbecbeebbcececdbadcaccccbaeebdcbacbecaccacbaaecedcebeecccdabececeacaaecaacadcbbcaabdeadbdbdccdbacbabaeebaebbcccecebcaaacbbecbddcbedcbbeeedbbabecdebddeeabdbcadceedaacdcccdabaddeaceeabaebcebeaeaabacaadbcdceecbccabcdcecedababeddcaacdeacadbcdcdcceddeedacacebdeaabbebdcaeabdaaacbceedceccdddbddebeebebacddeeecceedeeedacaecebedccbcaaabdbbbceebbbbdadbcdedddaecacdebeceebabaddccadeeaaaddcbacddbdbabecaacccbdadbbeeaaabcbcbcebacedcedceecbacedbaabacedbcceceaeccebabddcabdbeccdaeaddbcbebabeaeabadcecaedbcdaccadbdedbbbdcdbdeeeeedaccbaddadedebbcaaadecdabeaacceadeecedabbbbccbcccaaebcdddccebaeeaedadcdcbacbddeadbdcaeaecbccdaecdecceacadaceacdcbcbbdbbaaeecaacaaadbcadcbedaacdeddadadddebebeaeabdcdabddcabbbececeeececddcdcaadaebcbadcaedcecbcebdb
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
bddacaecaeacababaedbbdcacdadcebaececacdecdbdbcbcccdacabcabccaedbabedccaeccacaebeadddbbccadadabbbccbeebbadacaadacacedeecadbadeebaaeabcdbcebaaceaabcedeedccdeadcdedccbcdeebaaabbececdbbdbeaacceadbbcaecccbeddecadbebdcbbdcebaeaebaeeaccacbbbdceebadadcbadaabbdebcbbececdaddcbebcbebcaecdeecdbebaceacbbeeabaceeaeeedecccaacdeaedabeadeaddadbeceadadbbcecaeecdceedebcdecabbadaaebedbedbacbbaddbeebebbdaedaadbaabadbcaebadaeaecedcebdaaadcedabdcdcaabdebedaccbededbdeccdceaacdecbabbbadbdbcaedebcbddccbeeabedb
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
ecdcebccdebccabecacdbeadbabcbcdeaaeccaddcbdeadebeeadaeceacdbdadcccbabcadebbdadbdcbcadbecbacbbacbeeabeaaeeabebedbbceaaeeceedeeddbbdccbbcedeebdbacbbeeceaaadaeedcccdadadaeeccebcdaecccbbaebeeecebcebcaccabbaaecbdeccddbdbcbcdbbaadbeeebadccdcdcdaebaccbecdeebbddbadbacdcbaabaecedeceaddedbbcbeccdcabedaaacdeeaabdaacdeebcedaccedbabddcecbeebacdbcedaececbebacbdeebaceadecaaddebedcccaedbedddaacbdabbdeceeaedceadcaebecaaaebeebaeddbdcdadaabbbaaeaeccaaadbaaccdebceeeebdeeebedeeecddaaecdebccedbdeaaddcebebdccdbbabacaaaeaceaaeabcbadedbbecabbabaccaeacbeecbcbeddbccabdeacdaabbbdbdaaebdabdcaeeececacecbdbcaaddcaaecededeaabddaaecbeeaaceaeabdbdaaecaeaabacdadcccdcdbcbdadcdeccbeebbbdbbbccecbcdedbadcadabdadaceacdbddadedbbabacdeddadcceacaabbbddebecddccdccecdeaacaedbdbebaddeacaccedeeaacabdadceddcabcecbbbddedbdeddcbaacebebedbbebcdbecbdebedeaceaddbbdcbacbdeeaacbdcaacabbedbbebadacccdebceedceebdedcacdedacacabccedebcdaabababaacacecdadabdeadbdcdddecdecacccecccaddbeaedccdcecbedceecaedcbccaaccbaedcdcdbddadcedacbdebedcabcaeccaacebcbbeaabbdcbbdaedabccdcbecababbcadbcbcbabeadceaeeedcdcbebaadaddbecebaeedbdcbdcbbbcdaabadccbbcbbebddabebeccaceabdbdcabbdbbaebeaecbebdbaedadaaeeeccaaeebeddebeebdbeecacadacdabeabbbaedaadaabdabeaeaceeccaacadaaadbeecaeccddeccddcccbebcbecedcbeecdccadecabdbcaabdddecacddbeebbbbecabcdadbcdccbeddcbbddeaaccdaeceaaebacddbddddbcdacbddcaddcbbdebdaedceeccbddbadcebbcbbbbadcbbebeaccabcddbbbcdbaedbeacaccddaecebabcdabaaeabcbaeceeaeacaeeaccedcccdbeaaeaceeaaaebddcdceccdaedaedceddcbaddbeabdccbaacedccbdebcaabebbbaacddbbebedebadccedbacbbbdbeabddabbbddbcceededbcdebcdabeaecedbbdadedbeedbdddaabdcceceacaecaaedaccedcdbbbdbabcbababaddaeddeeeabbaacccbbbeedeaaadacdeadebadedecabbdbbdbceecdeebaacbabeaedceaabaddcecbbcabceceeeccdaaacbadcdbedbeeceddbcddbbebdaddaaddcbcabeaeacaaceacedbecaccddbcabdacdeeadcbccdacbcdaedcdccddeabaaebbbdbeabeaaaabeeedcebacebaeeebeaedabbebccdbcaccccdbcdcddbdeecaadcbbeabbdcaabebdbedbdececabccadebcddceebebdbececebdcaecbeaececbdbbcaeaecaabedadebaaadcbbeedbabebcaebadcebccdbdcebccebbebbaaccaaccbeedaeecbdcdccceebbaabdcabbbbeaecbaeceddbdcdcdcecdabeeaeceebaababaedeecaaeaecdbeadceebdcecdddbdcadedcaabaaaedbbddcbdbaabdedcabcdddcedcaeaadabaedcddbddcddbacaeaeccedebaabdccddecaaaecccacaaaacacccbecbcceecadebbbacaedcaedbebedcbddbccbadcaeceecbcccedceacadceeddaaeceabccbeadbbbdaadeeddbbdebeabcdebbdacbdaceddccccddadeeeaaabeccbcdaccedeadbbabeadeaaeaaacacaeadabccdbababbbcdabcbdaeddbabaaecbadddbdbcceeedaecaedeaceabcdecacebdaabdccaaeedaeabcbedbabadecbbeacdeacbdbebeaeacacebbddcaaadebcbcbebdebbedcebccaaadeebbbeabbbcacecebdbcceeccedeeabbeaaaeaaacebbeacaeccdcedcceddcbaebbcdeaecadbdcdddaecbbaedccdeedacaabececcddecddeccbbbbaebedcedccecebddccccaabbaedaeaabbcaedddcaebabaaeacdecadabcbedbcdbdcadccdcbbcabeadbddecadbcaacabedadebaaabbebacbbcadadadecdbeaaeaeeedccadbdadcbacebeddabddbcdddedadbccdabeacacbcbbdeccdbabddaebdeeceeacdaeaebbdabacccccceecaebaadbdbeebcedeeebdecebeadbacbadabddaceeeaeeebdeebaabbaabaddcdbdbbeddbcbcbdabdaacacabecbbeaadeebdebeabaddadbcbedcdbcdddebedbbdebdabeeaadbddbdaeeacdcccdbedddbacdbdaecbdaecbceabcbdeebbbccbdcccbdabbbaedebcebadcadbaedadcaeccedddbcdcaaddbdbddbbddbabdacbeddcdedebbbedeadaeaeeeadeadcbcbedbbbccadecdbaddabbdaeedddaaaacbdbcebbebaeecccccbbabbdcebebebdebebeebcbbdebdedecdcedcdddaedbebcacbdaeeebdcbeebceaccddaeeacdeadeddceddcaaeaebcdadacbcbbeeabaacdaaeedceeccebcacbcbccbdaddaaedacadececdabbdbcaccbbcebabceeecbeccbacceebaabcebecbecebeacbdbdcbcbbeedaaccecdbdeddaddebaedbadecbdddeeedabcaadebacccceeacdddcaaaeabaceecbceeeecdedccbcbecbcaeacadbbcccabebebccbeccaeadacaeddebccbbdeaadbddeacaaccaaaccbbccabacdcbdaddabaeabaacdeebbaeaeddaebcaabaaedddeccddcbaacabaeacaeeaeeeeeaecedddccabeaebacbadcabcacbeedecacdcdcaeabbcdbdcbececdbeebcacecedcebcacabaaedddbdaadadbcdccbbaadbacbbdcecccebadbedddedcbdeeaadeedcedabdacbabbbbeccbaaeeadbdcaedbcbbdceaabbecaeeeabdabbdbdddacebccbabcdddbaebaecdcdababbbbedbbcaadebdacaaacbabccbedcbdbcddeccbedbdecccaedaeccebeaaddddccdececebddadaceecbedacadabaadbbdaeeedbaddcbccdddeacaddcdaedabaddcdcdbdeaacccceeadcaedeedeabdaaaecbeeadbeaddbdbcabecdcbbebbbdcecdccdbcabdeaaebbebcabbceadaeacecbbeedbeaeadebaeeccabbeeaacebabdabdccbedbcededcaeaeedbdebccecdeaebaecbedbdddcccdaebecdadacddcdaddcebedacdeebcbbcdadedbaacdedbaabddbcedbebaaccdbdbbecebcecdecbabddebaeeabaddcacdebdeaedbddacdcdbbebcdcabedbabdaeaebbcccaaeecbebdaebddbcdaaeccaadedbcdceedceeedecececdcbadecdbadbababcceaabcddeecbaaaaacccbebcdbbebeccccbebeebceccaecabceceabdbeaccbaaacbebdcaccdebcaeecceaacacdaaeddcbcadccbbacabceaeceadbbebeacaeccaddacbebaadbabecabeccbbcabeaaebdbaacabddeeaaecbcdddaaaecaeacbbdedebccdbccbdbccaccceccaddcecbaaedcbdadaeccbebbdaaceabebecdbcebbecbbebbbcecdeeabcecadeadcbbadeeabedcbbdbddaddabacacccedcbceeeedcacdabdbdbbceedbbecccddebbcbedebecedcabadecbdeececabeddbabeccdadbbcabbcdeadaabcccbdeeebeccbddeaeecedeadbeedbccdbcebbacabeaecccebdbbdedccbbbeceadaddbaccdaebcbbdaccedcdeedddaebaeceaadbbcdbacadbcbaadcadadabcadddceadeaecbdceebebbacedbaaebdcbacdaababaebebebceecaedeeeeecabbcadebddababadabdcbeeeadbbaedabcedecccddaeaaeecbadeeceebdecabaaddcbbcadacebbaeedccdccddebadabaaabaacbdddcdaccdeaadcddadeeddbee
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaa
daccddceccacbddacadeacbeeebdececadbbedcdeeadedeebcbcdbebccecacebccaaeeacbaadabbbebbaceeebccebdabbdabbbcadeccdbeeebbdeebbcbbaadddeccaeedbccebaaecbaaacdebcbceacddbdbdeabddeecbddecccbeabaaadecaedbdeaedaccadbaabdcdcbbaedcdbdebddaebadcbbebdedaccebaccbbdbebcbcdeedcceebeadecccddcdabadcabededadeeddacbccbadabbcdedbacccdedbaaaedadbeacdedeaacddceeaeeedabaaebdbdcacecabeeccdecbdedabbbebadacadedadbcbeabcbeaddeadbedceadadceddeddbadeccbaddcaebadccccdddcedaeabeeacdadcadcedeccaecbbbbbdbadceabebcdbbacedcbcdabdbcedeccbcabbeedabcebeacbcccdcbbbdacbadbaabbaccdceecdedeebeacaecddeabcebedddadebebebdadaabccdacbadaabeddbceedcadbcbdebcabbcdebdaccceccbedaddcacdaeeebbcebcadcbadeedeececaabbbbebeeecdeadddaaeedadbeddbbccbaccebbaddbddaaceadbcabeeebcdbbcccdbeceacdecbacabeebbdbecbeacdaabadbbedbebaddddaddecabededbadccadbecbbcaabdebecbdcdaaaeadacdddbebeadabeacaecdeabccbedeabacdecaceeedbebcbbeacaaedbcddccbcdeadbdebdabbaaaabedbbacebeddbcecadbaccacabebeeecacdcbedacaaaeecbbeabcdeeececddbbedbedbdbacaeedaebdcdebeaeebcceccddceeaadddaddedccebbdddaabaddcddedebdcaccdaebaaacdedcccddccabeeacacebaeaedeeaadacbbbcadcceabbcedaadaebadcebddabdccecdbbbaeebcadacdcccdacddbabaaeaecdcacddedaadcdcbcbdacceaacdceccdadebcaceacaacabcccacecebaabedcacbecacacaccbecabbbceceaaebcceababdbaeddbabdacaecaadaeccbcbacceaeeabacbaabadabdcebbbebbebdaeacaaaecbebbdeddaeaadbccbccbacacdaabcdaeaabcbdcdceeceeccdaedbcdabebbaaceeccaeaedbabdcadaebbdbabebdcdcaceaedaeccdedbbbceeabedebbdadadaaeccbdbeabcdddbdaebadaadbbbdddcddeedcaaaaaedaeeaddedebabceaeecacdcbddebaccaebceeeabaabdecaadacaedaebabeaebaedbcdeededcecccbaedbcabbabdeddcacecbebceeadeaeececbabbaabdcddbaecbabcbaecccdbaeccadcaaddeceeecbbbda
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaabaabb
aebcbcadccecdddddcacbcdeebbbcbbcbbcdbebdaccedddbacbdbaeceedbaeebeddceedcecddadccaeaeaddcdedcdbadadddddeddbceccaaaedeebdbcbeebcaacbcbcececdecdddadcbcbbbaddceeacbabaaeaeaeeebeeaddcaedeebdbbedccbecccbeeaeecbcaeabceabedbeccadaeedbdcdddaadaeccdddcdacecbcacdecdeccadeebcdaebceaebbbcccecaedaddeadbaccbdadbeacedcccbeddaecedcbeeaeebabcedeccaddcbcbaecadcbeeebdabaedbcbbabededdeadbeedeeccdbeaababbbbcbcceaeaedaceeacabccbebdabeacaaecedadbacaebeabaabbbeeddbbcebabeddbdbcbddebdebeceebcebdddebceaecdacaeeabbcbcbbbeacdbdaaddededabbdcceeeababbcaacdcbcebbddeecdcbbcaaeeeecadbcdceacdecccbbeeacbcabdccbaeeceeedeceabbcdebeabdabdbdebceedcacddbebddedeecaedcdcaededcdacdacabecacdcdaedaeebbbcbddcccbcaabebcacadbbddddeebbeddcacbdbbebbeeaedbdbdabcdcbcdeeadcbcdadbacadaccbacacbeaadecaaeddaeabaababcbbdbecdbbcdcddcebecbcbabbcedebeaadaabdacbebadbebaecbbdddceebcdedeeeaedbcebaeccbdadabeaedcccabeedcbcbbacabcacdacaabdebcccbcbcbaddacaeeeeebeedecaddeebcdaabeeedaccecabaecbcadbedcbaebeeddedeedabaaaabcaeabcaaacceaeddeaadbbdadbadccbdacacebadbccdbbbacbaebdbccebabceecbadaebcbdecbadbecddebddecbacddedebeadcbbaaeeeaceeeaccdcabbddadaeaebeebcbeabeeeeddeabacbbabacbadcbddedcdcdaecdacdacbbcdacbcdcceaedbcbcedaadddebdeeeccdadddbabdebcddcccbbaaeadabcaaaacdbbccdeedcebeedbeddaceaebacceccbbdbadcdbdaabcdeaebebbdddcddacabdccceccbbbeeaebdcaccacceaaecedacaaedcccbabebdcbacccacdcabdaaedeaddacecaccebeedaeedeabedeacdaeeeaadddcaddaddbbeeeaaccdaadddbdbcbdaaaccddabddedcaaacbbbacceedacacadbebceaacbabccedeebbbbbdeebeeeccaddaabaadceadddbcaadecddeedecaeecbbdcdbdccacbeacbbdbcadbbeddecbadbccbceedbabebdeabcadccdeacccaaabcdbaaeedeeeddddedaeaaceaacebbacabedbdbdbdcbdabaeecdcbddabcdcbacdddbadbddcdecaabbbbbbbcddadabdbdbeceadeecbdacbbcbbddecaddbcaecebbaccaebbbeecaabcebbcbccaeeaaabbecbdcdbddcbceeaacadeecadeddedcdebbcdadcabedebcabcaccddeaccebaadddcbbcdddebebcabdaeebecaabbdbcebcbeecceabbeadabbacabeaadaaeecccebccaadbecddbddeaedbcebaebbbebdaeccceaedbbaaddeeecdecbdebecdcccbdcbeabdebbaccdcbeaacaebbdedbaeeabadadbbaccdbdcbaeccdeeacadceabaeadbbcddabdadebebecabeeddadabadbabbdbbebccddccccdadaebedcbeaceebaeddaccebacdddceaebdbedcaacdeeecdddbdadaeedcaaecdeaebadbcccabbeeaaeaeabbadeecbddedcbedeabdedeebccebadbeedabbbabdaddbbabdaabcbddaecbaadacedacecdadaadaaeaabbddbdaeedacbccdecebadaebedceccbaecdbdabdbbdeeedbdbdaacddedeadeebedadeebdadabbdbdabadceebdcabdadabebeccecacaabdabcdaabeeaddedebaadabdadbcdbceccabdedbcbbdbbbbdbecdcdadbedeeaaeebedeeceeecabaacabadcbcecedaebababcaaabdbdcdebaeeeabccadceaebeeecbcaabdebecaaaaacecedddabcaddaebddaebeaddbdececaebccdaeecdcdeacdbbecacbbadbbdcaceabbeecabeddccadddcaabedabdedcbebebaaececaeddcbcdbeeedebbdadcbdcabceedeaddcedcceecaeccdddebbdacaabbbebcecceaeacceebaaccacabbdeaceababdeebcedacbeccbdaaeebeaddabeabbcbcbbcdeecbcedcddbaeaaadebdcadcdabcaeccdadcabcddebcabddadddbccdcdebebbaaadcbdcdbdcccdeedcedcadbaadcbbcdaebdbaebaecdecebddddebcbbdaceddabebcabceccadcbeadcbecdabbebcebaacbbdecaeacabeabcdeaecadacbbacbaabecdccacbbbacbbddadbdccdaeacecceedddedebeadaceeeaceebeaeeebaabbbceeccedaceaedaebeaddeaaacbcccaedcdcdacaddabdbbaecbddaaadaacdebdeadaaabbdaacacacdebdeaacbaadaecacaedbbaeccacaaaebdbbaebecaeddaabbaaebcbdcbeebbaabcccbbbceeadbcbecdadcbeaddbbadcebadcbbeeadbbbcddbcdabeaadbccddaedcdeedabadecddeebebebcbeeaddbdeaabddbeadaccbdbdedabbcecabcaebebacdbbbadcdbbbcbaeebacabdeeceececbbdcddabacedaaeacdacccbbbabdcebcdededdeaddddaabddbcebeedbcdaebeebacddddbeeaebbbacbadaeabdbbddabaacabecdeddbbbabebadcbecddceecddedbddacedaeaeccaebbcbbeabcacbddcacadbdadedadeccddeaabddabbdcbbdaeecdccbdddecaedddebbdcabdbcbddcacdbceccadbdabcbeededecdddeeadedbdddddeaebadaaaadaccadeacaddaeeabdcaecbaeccddaeebbccabdcdcaaebbeecbaeadeeddcbdccaebcaddabcddddebeacbddecacbeebaddabbcbebbcadcaabedbdbaeeaacebabdccecaceaeeaaeceddcbcdecacdecadbddbaadabcceaebaddbdcddbcdeedaecdacdddcabbdaebcbbbcadebeddbcecbdceccdabebdcdaadcbceaeacdcdabcaebdbdbabcbcaaebeabdaacecaaeaedecbdcbabedabccdbbcbacccbdadacaeeaacebdeebaabdeebdbeacdccddcbebcaadbbbedbebadaadebcbeccaaeeabcbceecdeccbbdccbdaadeebdbbbbcaceedaeedddbdcecbadeeccebbbeeeeabbecbdadeacecaaebcbcebacaddbbdbbeecacadbeedbcdedacbcebebaabccbdaddbdcdaeeceeadcbeebaedaadbcbaddbceacbcdbbdbdaaabacbbbaebecaccddacbccdcdbbdccdadcbbaaabbaddabedaaebcbcdeebedddacdbddedbecbdadaddebacdaeccadceccbcbbcedcaecdacbbabcccaaccbaeaabdebdebdadecabcecbceceadbbdebcedaebdaaccbbecaeecbaddabedcaecdbbbccdbbecacabcbcececceebbbbaabdcceddbdcbccccdbabbaadbaccdeaccbdaabdeacbacacddcddcbcadeacbddbbabadeaddeddaacaceebdeaceabdeaadeaeeeadbaeecdabbaddeeadaacbbedebbdedebddbcbcaedeccaaccbcaebaabbceddcbedadeadeabbeeddcdbeaadcbccbcddaeaceebbbddeabbaedebcaaceadccdaaadbdcdcdcddaeceecbacbcaaebaeabbdbccdbcbccbaddbbbebadaadacbdabbeabadcbebaadddbeeededaebbbcabcaceedbacdecebcd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaa
eebbcdbbedebdaccbdbcdbcedeeaaaedeeaebedbccaddabcabccbebbbccbdcacdadaceeaeebaadecadacedaaabdeaceaadaccedaeadeeaaceeaaeaebeccbdabacadecedacebeceacbaabcaaccceabecdddbedcbaaeabadadabccbbbeeeeeddadaeebeaeaedbddecaadcbbedcdeebacbdeeadacacdacbbadeacbacdebeccbabeddeaadeecebacaabcdadaaadddecdbbdebaaeeecebddcdbeabeabeabecdabaadaebadbdebbeeededcdeaceabeedcbddaaecebadaadbdeecababcaababdccabedeaadebcbebcbdbccaaaadccbdaeedddaadbeeceabeaadbbeaddaacdceebbadbdccedbbddebcaabdaadbabbcdbceaabaadcbeaeccdcaedaedeccddeabecedbdacdbbdabdbcbdeedebebbeaeaabbcbeaebdbacaebcaebddedaababbbccaeeaceadcdabaccdedbdbccacbedcceccaaaaeadadcedecbcdcaeeadabbbabebdaccaaedbabaedebeeddeadcbbcdeacbecacadebbaecbdadccacbabdadabddbabbacdcdcdacaaccceedecabbaaddccecccdeeeadcbdcbaeceaedeceaebdeeeeceeaccdcbbedbbdccdccedcadecabcbdadbeedbddceeaeaeeaeebabbebbdcecebeeedbbcebaedbeaacaaebddcdbbacdabcaddcdbbdebccedbbdccadcbaeccdbeeecabbeeabcecedacddaeeadedbdaccaceccbbcdeddaabedabeebaababbbaaeabeaddecccaceeaddbbbeeaeeeeacbdcceaccccddbcdcbaccbaadacedaddceeaeeccdbaceabbeedbadecadbdaddadbecbbcddacacaaaabcdbbbbdbaeccbbebebcbecdbdcbabcbabececdeecbbbbdacaebbdcaddaaeceeeebbbaedccbabdbabedeececaabdbcaadebedecdcabdbcbcceebdeddabdcdaacbaecaebbccaabadeadceecdcdeebaecbeecbeccacbdaebbadbdeebceccdabadaabcddeeddcbceedabbdaddbabdacbabcadbcbdbdbdbbccbdedcadacaacbaecacdaadbedadbcbaeaacdbbdadaacddacdaecaeadcdbececebaacbebacaecacccbaceeaeeebadacdedcecbeaeddeeacbcdcaeadddbabadeaebdceeaaecaaeaaddacdecceabdaecbeacecbcbbdadbbacecbeeaabacadadcdbdbcbcaaaeebbaebeedacbeacaacdcaeabadecbaacddbabdaeddebdaeeeaaceadcebcdabcaaeeedcddcdeaaaeabbdecccaecaabcbceecbaddececeaedabcddedaabacbcadbdbecbdbbbcadebabddbdacebdbcbccbbbcdaedabadcddedcbdbedcacbbcaedbbbbcdebeedacecdcecaeaceeebbdbbcebacbbeebddbbbbeacbbadaeceecddadccddecbeceeedbcdedeaacabaaceaeeabaaecedaecdedaabdeaccdddaebeaebaaceaacbdaedcbeaaeaeeedabddaecdeebbacbbbbbbacacbcacedcdceebcaadadabcebbecbbdedaacacbcceededcaddecdbddeecaecedccceebeaedcaeaecebbdedceccbeeacedbeaceeecdbbcdadbadecebdbdabadcebecababceecbeacedaaebbecabbcbcdcdecdbdedcacdbeeabbdbaebabedecaacbecbdcdbccbadceeadbeabecddedddaedadababeecabceadddedeebbabaadedcacdccaaaabcaecbbbbeebabaaddbcaaecbbcadeeecebaaddeabaaebcbbaaaaaaadaebcbbbbbceecbdccdbaaaabadbaadedbecdaebbdbeabbaeeeaecbdcdcdeeecaedbaabcb
aaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaazaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaababaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaabaabab
bcadadedcadbedeababdadeeccdbbaeaeecacaeacabeaebddecdacbcbccacabacddadcbabeabaaddbcbdebcebccabecaaedebdcacaaecaabbecaaeeebcabdeecdbbebeddbbadadcceeacaaaaabebcedcdddecbaeadeeacbbeeaebbccaeedbedcccdbdbeabeeeedbddcdddbbccecbbbdedbbcaeebdeabeceeadbbaaeeeaaaaceebadaeecaaaedabaddeebaeeccdbecbaaebddacdadcdedacbaddccbaceabdbebecaeceabcabceaabdbbdbecdceadedceabbeedcadcecedebbbaddaceedbbebecaededbdddbcbabacbbbeaeacdddadededbdcaababacacbaabcadcaabaaadeceaccbaedcaaeecbdeceaaeebddcceabdcadabeecededbdadadabaaeccbcccaeadeebbeababdeebbbedabadeeeeddaacbbebeabacbaadbcaebeaaceabbdbadbabbbcadaebbcdabdabcddccbcadaaecaeeeaededacbeccaedbedceeecdbeebbecbadedecdbcaebbedcccbbdcaeeddeaecbcadcdadeeaddccbbccddbccaaabcacdebbddaadaaecceaabeceeacccdaeabdaeaadaaccbacdebdeebacecbdcddbcdceddeccbaddebdecbcaebdeaadcceccbcaacedaaecbbeecabdecbdbdeddbacbdaccebbeaaadebddcaeccaedbdecbaaaeeacddbdedaccedecdcccebaaadebadeaeacaaebdadbcdcbacbccdeaabaebcabdcdadedaedbecbddacbaddedcebedebdbbeeaecdedabcdadaedadcbaccbebcccdecedbddeedebbdceeaeabdeeeccdbdccbdacebcdaeaeababecbbcceecaaeadcbeeceeadaddcabdddbaededacaecdbacebeabaaddbdccaeebdcbeeaeecadeddddabcacddceaccacbdbacdcceecdbcedebbebcceecadeabbddaaedcbaabccbdaaccddecbaeedecddebcdecaceccbceceddbabeabdadccdaccdadcaebebbcdebeadbcdbcbedbabaacdbcbddbbeaaeaecddeadddbadbdcaecdddedcbedcbeecbedadcacdcacbcbdcacaaccebdbbeccccadbebabacdcadbec
aaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaababaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaabaaaababb
aeacedaccceabdeeceeabddabbeabbcbbcbdebcbedaeccccbbdbabeabdbebcceecebddeeecabbecceeacbeabeededccedacbbcedeccedeebedcdaabcaebccabbedeadbecbabbecaabcabdedbadaceadeaeebaadadddcdbaebbceabaccdaeacebddcbceeeddabbdebebbcdacaaebdaacdcaaacceeaadbacbbdbcaecbacaababdcbdddcbedaebccabaebaccdbbadbecdccccdbbbdcebdbcbaadbdcedbbecbddeacdabbacabdbdecddcdcceabeaabeecddeebadbadbabebaadabeaeaabbedbddaaedddddebeebacacbbbcaaebedaecdcaebadcdcabbccdbbabbbbdaaaccabdadbeeeddedeabeeadecdadbbeecbdadaacbbbdcbdceecdbbedaeaceeacbbdabaeadcdcecceceddceaebecdbddcaaccbabbaaccbaacbdadbaebbdaeeceaeddaacaabaabaedceccccbbeaeedddeeaadabeadbcdaeddaabdcdbdeadcccaeaeaacececacbddaeecdccdebbaeaeeaaaeeedddacdddaaaadccbdabcdbceecacbdbbdedceaccdeadbdbecadcbccddbeabebebdeceadbcbacaeedbcaebdeebcdbdaadbadbeebccbeaaadecaadaeeecedaaacccbaaeeaabaabebbcaaccdbadeaeccedabbdddecaecdabaeceaecaebccebaeaabddbbbaeeccbbaeeceedbecadaaccccaaeecbacebedecdebccbecbaabebdbabdecdebdcebecbdddbecedacabeddecdbcbcebecadbcaebdccaaebedaeabcdbeaaaaedaabeacacbdeeaaeaeeeeabeccdabdbbebedcabcecdccebabddbabbbaacddbbcadacedbabeadaedeceebdcdcaddeaddabddcdbbdacdebebeddedeeabcedcbcdaabeabadbccccdaabebeeadacbdeceaecbaabdbaadceebbbbddeeeabecacbedaaddabdbeeabebdeeaceaeaeddeabaeecaabcbecaecbceceddccacadeccdcddecddeeecccaacaecdaaeedeeccbdebeeadcbdcacebbbebeadbaddebdadcaaccdbacaeaeadecbccebcbebdcedbddbccabbdececcaccdeacaebababaabeacabdbeaedacbdadceeedbbaaacadbdbaabcbdabbbdadedaaeacdbbbaaaabecdadbeaeadeccbcadaddadcceedceebbaededdadcabdccedbeddabdbccdcccedeebdecbbdabadeeeedcaccdebdeeadcbcdcabbeacbcccabcddcbccbccbedebbeabbaeaaddcadbbbcedcaedceaaeaabbddaabadccecbbecebabdeddcbddebaddeccadaabaeaadcbdeebcdeaecebcabeabcaadcdaaceedcceddeeabcceaedaeeaabcebbaeeeeeaccaedeadbbedaaaeabdeaecbcbdaebdeeeedaeeccbebddeaeaaedaacdbcbcdccbdaaaeceaeeeccddddaccabadaceadcecdebabddcacdcbcbbebeebdedadddedeabbdeeebcbebcaeacbebcaeebbccedacbedaeabcbbecacdebcceeadbdecaaccbaddcebebbdacddcceeeecacdbbbecadaedbdbddcdacebbdcddbaddeedbdcdaaeabaeddaccbbbeacceccbebbdebbacecbcdadcaacaebbdbbeaaabdedbecaddadaeeaabceaadeedbdacddeeecbbddebcaccedaabcaacedbaaedbcadccbdebbbdadcbaceddcceadeceddcdbcbabebaecbdaeaacadbeeedbdeedeaecdadcbcdabaddccaabddeeadcdbbdecbbeaddbbdddaccdecbbaecebbcabcbcbbacdeccbdcbedceccbaaaccaabccecbbecdcacdaabcdbdaaedaededcbcdddeaddecebdeccbbedcccbdddcaabadddaeadedbdaccbaaecaddbcdaddcacddacddeaddbedeacdaeadcababaaedcabdeebdbdcdecbebdecedbcdcedddebdbcaaeabdaeeeaccebbdbcecdecabaddaabeeeaedceabdcbdcbbaaddebccbeebebbadbaacceccbdbacaeccdbbdeebeadceaaabaecdaaaceeaabbdbeaeddabcaccccddeeaaeeedcbebbbcdbedacbeaaceabddabccbbeaecbeececbceadeccbaedbeeeceedecddaeacceaeeeddeecaadbccaaaebbcbddcabadaddabcbabbdecaedccecdcadaebceecddceabcdcbacecddeaccbdcacceeeccceacaaeaabedadacacecdcebccbddedeeeacccbaabecadbaccbbabdabbbcddaedddecbcddcaeaecdbbcacaeabcddbebeccdddcddeddeaaaaaeaedbbdbabacbadbbbecedcbcdbdaddbaaacabddcadcdccccdcacccedbabdadaddbeabbcebdeebbcececaaeaaeddbbcecaaeecbaeebccbadeedbebacebbcedbebbdeeaaedbbadbabbbacddccddbccdcaceacddcbdeabbbacbdadeeabbcbdadbdecdacddaacbadeecebbaeedcdbeceadddbaaadcabddaadcaaebacdbeebabbddedbabecacedbbdabedbcaaceaecbbbbadcaeaccdecedbdccaaedcbdebacaedbceaedeeccbdbaeedbaeadadcacceaeabbadbccadddeedbeacaabacbabcddaaabcedeeebacdceccacdcbebeceebbdeedcacdeaccbdecbabdddddcebeddbbdedcdadbabbebabdabdbcaabebaaaeabdeaeceedceabbaaaeeababadacbbebedacbeeddcabbdcecdceebcdcecacdedebedbaedaebcbecaacdddedceedebebabcdbeecccbccaaaeaaacbadcdebadabbeeeabedaaacceaacdbaeddbcbcccdaaedabaecedcbbbbdcacceacaceaedababaeceaedbedbcaddaddebacbcdedeaccaaebadceeaebcadbabcebebcadbeebdbadcadbcaccdeabbaedcbecadebdaeaabedccecabeeaaebddeeacbddedebcdddbabbbacaeacbbcbaaeedcbdcdaacc
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaabaaababb
bedadabaacbcedcdabcdbdeeddcecaacccabcaccacccbceddcecbdaeeaebcdbadedaddbdddcececebeddabbeabdecedbdbedccceeabebbabdbcaedbeaabaebeccaecabeebbacaecddeccbbadedaacedbccedabebbbddaeccadbabeebeacdbabddaebedbaeebcbdeaebcaccbeedaaebcaccdeebbcedaeadcdaddeedadabccaccaddbbccbeadecbbcabacabebdbdbadcdaeddccbedbdcaaddbcdaadcdbbbdaaceeaabdddbdcdadbcebcbbbcbbabdbccaddccdadecebbdaecdacecdbcbbcccbcaddcceaaeccbccbeeaadcbcbdeeceeecaaaacecebbecaebbceaedbacbecbcdbaabdecdaaaededddcaccecdaecedbbebaeaabbbeaedecabeebbceccbaebaecccbbdcddbbacbdbbbcdcbaaacbabcceadaeedbeecaabbebaeeadeeedbedadabaeecddccebceabdedeedbadedbaecedbbecccaceabadabccaebeaeaecceeadabbeddbdaaeccdbbeabaebccaecebdeddbedddabedcdabcbbcadcdbdebaeeaceedadbddabaaedcecacceadcbbbeccadebbbddaeccddbaaeeebebcebdeaeacbbedcabaacdbadccdeaceccbadbceebadcabddabeabdcecdadbabbeaadbcaaaccededaebbbdcbcdbeeddaddadcdbdacebcdccebedccecbddbdecbbbabebccbdcceddcccdaecadbaeacaaddecaabeaadecbcdcdecdadcedbecadbcbccdcedcbbadeeedbeedbeebbeccceeeadeabdccdcbddcbcebadadcaeddeceaedcedebccebbbcddcabddcdcbccadaccccbaaaccadeececedaacdbcaccadbaebcdeacdcbeaccdebcedbecbddcabdcadbddbcbbeabebecdcceeccccddcaebbceddbaddeacdaaeabbecdbbbdabbedceddecbdaacbbaeebdbdedddabbbeecadedeccedbadbbbcbbacdcecdbbaeceaacecedcacaeabddebaebceaeccadedbbcaceaecbaccdceebeabdbabaaaedeccadebbcdbbbebeececdccbddedbcbdbadeeccaacddcbdddaccdaccecdeaeacacbedacedbccebaaebaeeaaeedabdbadeeacacbeebeceeecdacebdceebecceaaccebeeacebcdbececdddacccdccbccbbdcccdabecdbbeabaddcadceacadbdbcdacecbaeabadabbddbeeeebeecdbddebaaecceacddcecabbabdbddaececcacbdeadcaccebbbbcbbdcbbabeccbeebeaccdcebbaacadeadccbedbeaabaacaccbdccccecddebeeaabeeddceedeeddebaeaccbbeccceccabddbddccaacdeedebcbebeddbbeaabaebeedabebcaacaaebcdbdcaccadbdcccdadabaccdbeecedcdaccbbeceadaeedcbcdceceabbdedecabaebeaeedddaaecabadeecacedeaedbbadeccdcddaabdbaeacdecadbdedaeaebbacececcdeebeabcddceaeaaaabedadeeadabeabaacedebdaadacbaecedcdceedaababaebadbdbeaebacbebedbaabccdccdbecbdbaccddacacdbececcedcbddebbdbaeddacaccaeaacceeeddccdadbbbabacbddacdbbbbcdedcdbddcecabbcabbacaeacdcbcbaedcbeabcddaadcbaacccedbcddcbcbdcebbdeabcacacaebdabcecdcebecbbdbebbdbeebdcdbececceddecacdbdaacecbdaceddcecceaddabacacdeedbdcebcadedcebddccdbcbeedeedcdebaebadcbbaeedcbcccedaadaccedcabcedcaedcdadebcbcdcebcdcccdbadeedcebdcebddeabedbeddadbbdedadccabbeeaaedaeeadecbcccecdcdddbdbdebebcaeeedceeebbecbbaeeccecacceaadeabeaeacaaabeaabbbddbcdbcbaddcabbeddacbbadcdbbdadbedebeadbbbcecedabcdcaddeadebbbcebbebdadcebcbdeccaddedecbbcdbebbcceaeedebeedacdbbbeddbeeddddddaaeaacedbabdeedcedcacaeecbabbdddcadbcbcdbdbcbbcbdcbbdabacadedaabecacdcadeaeccddeeaeedebaadeaabcceaebcccacadebceadbebbdceeacbeccaedcdcedcbbcdbeddaadacdcbdccebeeabdebebaeeaeeecabceebcdbdeccbddceebedeebcdacaebcdebcbddcaccccdcddeedecdeadebbebbaedeebbcabeebaeddaacbadbdeecebaaceeaebbdbeebbcaedceecbebccddecebbdbebdabadbebeecceebbaccaaaaadddccbcabdbdebbacbdaaaeeeaeddcdbdaecbedcaeeeebddbcbdbcbcdaceedeaaeaabcdadbedcaaadcedaebabccddaccbebbdddbaedeadecbadcaabbcbececebdaaecebeadeeaaedbccacbbaaedbadaaaedecedbbeadcbbbebebebcbccbeeeabbeabcbdebcaeacadbbaabbdbcceeebadeaccbacbededcdebbcdbbdbdcbaddeedcccbdacbcccacbdbdcbebeebeeccaaabdddeebeabbccdcdcbeedededeeadecbbbcedbdedaeacecadeacdcebadbceaeeedeeecbecbebdbcaebeebdcebeabdabbceddbadabbcccdecadeaccbbebecddcaecbaaccebebbcbeccbbecbeceebaddbdccdeaebbebbcbaabdbadeedebbaececbbeddbbcddabbedeababdcdceccdbececbcddbdbddeccbcdbccaabaaaadcadeacceeaccadcbecbbbbeebbbebedeeaaabadacbbadaeabdceabbdcaccabacbdcbcbbcdbceacaedaddcccddadcebadbacbdddeadbeebceabbddbbeaddbeeaecdeadcbddabeaccbccaabddcecdeceaabbddceeabdcddbeabcecaedbdcbcacccccbbeabacbddaccbbccecbccdaceaeaddebccdbacabbecbeddeebdebebceabaecadcccabaadaecccecaeebdcbdeacabdabaadcbccacccccedbdcbbeebeecceceeedcaaadbecdcbcdabddedeeeebccadddcebcabcbabdcdeabeedceeebaedebedea
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaabaabab
dbbecadbeacdeeaeaadcaaecbaaadddedaccbeabebbecbeecacebebdcacceccbbddcdaacdaacebbdbeaecbedeeccdcbcadcbdeebaedcdbaecbebbbdcebbcaaeecccbdaececaabdaaaccedddcdbdabeaceeddebbebccdceaaecaeaaecddceccbcadcdeeacccdddaccccddeadbdeddadcadeeacaaabaaceeccdecdceddaaecdbcebaaacadbccaeabdeaaadbccdecbcbddecdaacbcacaebdbecedbbecadbbcecaeeccdcbebccbcebbeecebcaedaadbeadcdcaadadacbabebedabcbbcebaacaaccbbccebaeaddcddecbdaeadeccdecedbedcbbcddcaebeeededddbcbdcebecedaccebccbeaebaddbcccdeddbcdbdeeedaddecaaeeddaeebdceadbebaadedbbdceabaebbbacdaccadbaccaeacbcddedcdbbcaeadbdcaedbbabaebdaeacdcbcabcbadbebdbedebcbbdeabebbaccdecedaacebddcdabcaebbcccaabdceeccadbacaaabeaeedcccedcaedaddeeabebdebbcebabeccdadeaaececebcbcbbbdebecacbddebddaaabdcbdccdcdedbcbaceaeacdccaaebeeeddcbeaaceaecdcdccaacadaabbaceaaeaecaddbcdeaebabaacbedaaebdcebcceccddaeadddbcddddccccaeeadaceeebdcdebbcdbcededdcebadbbebbdbaddcbcbdebbcebcadeaaeabcbececbaddbaabceedbedbbaaaccbddaceabbccbabbbbcbedacaaebbaecaecabcccacbdccecdecdcdbbaaddcebdabcebddeaccbadbcaadecedbaddabbabaddddaeeeacaebdabdeacdcaabbedadcbdaceeadbccadddbbccbcbbddeaddceddbddeccbcadccebadccbebebdecdbbabdceddeaadcadaeabddbabbbccbbedbeebeaebecddbbdcaceadaacdbababbacbeecdceeeccebbccebbdedebaaeaacdbdadbcabdbbeeaaccabebedddcecaeeaeddcdacebddabbacaeecacadbabceecbdbcececcdecccadedceeeabcdcdceacadbccdbbcaaaeeeadbdeadccacbeecaeabaecdebcebddcdaecabbacacdacccedcbddeebbeebbaaeabeeabcdabdbabbcbecddaacaacbaaecbbceabcaddcaaabbcdcdbceebbadcdcdcaccdcbebcadbdcabbaeaddacccdcecaccdaebdeeaacddbcdbabddabeccadadaccbacdadcabaaadbeddeeceacceeabdeaadcdaddcaacaaadcdcedebdedaebdbbccecacccdacadebccbcbbeaacdecccbbbbddcccbdaabeaceacebebbcddadeeebeadabdabdcbceabaecddeabcecddeccedddbaacaaababaebeedbaeecccbdcbeccdecdedebdbbabbaabedebadcddbdbdcebeaebcaeeebddcedbcbbadbcbeaebeaaedbeecdddbddbdabbcabaccceadddccaabeccdccdaeccecdddbaacdcbdadbaddaaebcbabacaeededddcedaacdbccdebbdbccebdeebacedcaccddeebbaaccccedaebdccccbeadaababbdabcdccaddbdebeecccddaebbbabddabdaacedaceadaacdadabbecbabbeabecbbacaeabaeeaccbbaaaebebcbececceacebaaeaebacdcdcbcaddeacbaeeeceedabccbedaedadeecdcddececbdddabbdbeaeaaacacbabebcacd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
ccbadeebcaeddaddebebddeaacaccabccbcdccdebbededcaacaddcbeabdeedeacbddcdeadaeaaeddedacdcccccdcccabaebbdcbaeebddbabaeeebbaecacdecbacabeeaeacbaddcaeeeeacecbebcdacaededbbadbccaebeedeeaaabbcaebdccedaecabedecedaabedacebddababecaededdcdaeddaccdaaabdaceaecbaccedddedbbbdbdccedcabdadddeaadcebabaddbbedbcccabbbdbeedaaedcadbeadeaedadcabeaceecaabacebeaaaabddcabaaaecdaacedbdeecbaedbdbecdabaceadbebdeeecbbbcccbbaadeebacdcaedcadccecabaeebacbcbaedbcaddeeabbccadadbcedeaccceabcceacddbbacaaceadcebdedabcbdacdddccaeeababbebbedbaabbdbdcaeaeaeaeaebcdadabecbdeaecbbeabeaccbddebaacacbeadedddccbcedaabccbacdcacedbceadcdabdbcbeacedadcbaebdcbabaebbcbcadeebdccbbeeccccadcdcbababaeceddcebdeadadccdadeaeaebaacbbbbbedbbeebbebeeaaaacdcbcedbeecaecbddddddcccbbdcbbcadeaabbaecaadcedaddadabbecaececbbedbeeabdbbcaacdccacddbadbddacadecdabebcabcaacbbedecbcbaecbeadbdceacaebcedbdeddbbcbbceebdceabeaeddceaabdedbbcbcbceaacbcedacadcdacebadeedbdbbabaedbebbceaceaeacadedcabbabeeceadcadcaeeaeaecaacbbceedddacbbeaccdddabceabaebdadcdcccdeecbcbcddbdabdcaaeaddaaecadbbadeccdcbeaadeecaccbaeecbcbedaadadeedaebbaccecbecdbecaaedbadbaaebdebaaaeeabdaedadbdadcaecaaeadcbcaebbacaccdaddebaabcdccccacacacaaddeeedcedcacbbabaaadabeecabeecbcdcceddaabacbeabddccbbbecbbbbdcaeeaaadcedadeceadcdbbdccddbebeeaddcedbbadbdcaeeebecdcedbdeeebbccacbdcebcdacaaeebeebcabdebbaddcecbabadbcaeeeeeeacbbccdaaeeeeacedabddeecbddecdbbabbbbcadadceaeabdedbecceebcecbcaaeedaeacaedbebbaedaeeccabeaceaebaaddbbbbcdcaacaecebebdeeacddeeccbcedebbbeaaaedbbedcebbcdaaedebbbadceadadaccdacaddaddaeaeaedaccebadabecdabcabdcadcdacddbaabbdcbebdcaabacbeececadebcebcebbeaecbceedadccdeddacaaebbbdcceaebcecbbddbbabbdcabdeebedaebdbeedcbbedeccabdedcdbcacaeabcbbbaaebdeccbbbecebabacaaedacaeadbaaedcdcbbeeadaddacdebcdaeaaeddeaadccaaaaddcdbeaebcedaeabcdedabedeceaecbddcbaedbbcaaacdbeeecbbdceacdcecbeabcceacbdebeceddaadeacbaacedbaaaebddecbcebbdcdaacaeaeaceccdeccaaccaeeaccdddbcdabaadbcacceaebbbdebbedaabedaabbabbcabdececeacbddedeabcdbabedbbdcdaabdbedbceaadeaeceddbacebaababeabccaeeccedcdcaeecceacbcadbbcdaaacbaeaddcaeedbecdcdcdacdedeadaaaeceddeddcecdaaeddbcdcdcedecdadbdcebbbbeedaabdcabaecdcebcbbeddbeacccccaeeddeeaeddabbabeaaebeceddebdccabcebbdcabebebcdaaaeaaddcaadeddebdcdcbccecdddcbbeabecbcaababedeacbaacadaaecbbcaceeeacbcebbaceceabdbddadccadbdbccecebaceccaeddccecadeacddaeaaedbbaacabbbdbadabcacdbaccabeabadcbeedbdeadebcdaedbedbecaccbcabeddabbeedaeaaccddeedbcbcbccbeadecadbcebbbbabacbddbaedeceabdebaedaaaddacdceecceaecbccebedeceedadbeebaaecebaccbbabdcabacbaccadaeacaaecadbeaecaabcdccdcaeadcbacbabeccabaebeccaeacbaccecbaeddaedadddbaedebbadeeceddeeeaacdcbdeadeadceacbacdcebbcbedbceeaeaabdcbbcaceecaebbddababcaddacebaacaaccecedccaeeaeceacceadddecbcaaacbdacbacceeaecaccacaeadccedbecdebbecededbcbbecacaacaddabedddabcbaceecbdcbecabeecbeedbbdebaabedadbabacecadbedceedbababcbaacbacadebdebbbdadadcbddebbdacedaadaddbaeacbbabacbdbacbabeaeedddeaedaeeebaccbbcabceececeadaddbaebacceadcaccabcdcceeaaeddaeeaaddcaeccecbaeeacbadecedbddabcabbdcacadedeabecadbcbcebedddcbabebddcedcabbabcabccceeecabacacbdacbdaabccbcbeeececeebecdeddeabdcabacedcdeddebeebaadcdcaaedececdcabeeeaddadabddceddaebcdaecceaeaacbccdbdeebcaeebcecdabbcabbeaebebbabdbbebdeadceeabdabbbceebbdbcdaeadbbeaeeebaedecceaadcddedcabadbacabcccdcecbbdbaccdceeedacbaebbeccbebaabbbdccdededcbaaeaeebcbbbdbebddaccdcbeedaacecbbccbbceeaccbecacaedebaaacbedcdadeaeaaeabccceeecdabeaaedebcdbccdbcadddddbacbabbaeaabdabdbaeeacedaaaadbedebcbebdacdbebcdbbceaaeebcbdacbcabaadbbcbaaaaaaabbadebeebdccadbcaeddccadcaaedeebbbcbdcbbcdeeccaaecbccdecaadcdcabbeddeedaddaacacdbcbceecdbababdabcaddabcdcadcbbbbccbdabcbeacdacededbeeebdedbadaccddcbddceaebcbdbdddeaacbebbadbeccdcddcacaeeddedadeacdccabdececcecebeebeaabcedbbeecbbdadaecbdbdabedabeaebeaaddcdadadabbcabbbaecbecaebbadcdedddabdbccedebbdacadadddadbabeceaacceabaeccceabaededacaeabbccedbddcaccceddcedacecdedceebbeebeccceaaabbedcecedeeaadddeedaceaacecedabdcecaeacadddcaccdedabaeaeaccceebbbabdddeadaeaadcaceabecaddaaecabaaeabbcdceabdabdcedaeaedbbdbccaeacbbddddaaeaaacdeddbebeaeecdcbedbccdabaccbdaaddcbdeeaddbddedccdaecdcdbdadbbbaeeddaadadaedcbedaaaaaebdcdbcdcbeaddbdcbbcdbeccadaabbaeeecacdbdcbbabbebaeaaabcedeaeedcdddadceaaccaaeccbbaacbadaecceeddacdadcaaaaadaadaecacecbceaecaeabdededaccedabeacebeddabcdedababbcdeddabeedcaaedebeabdeadeaabeaccdecdacacdeabbedbcaebcceacceaaeeebcedbeedddacaedeadcccccebbecbccabdceebdacbdeebeceddbdbdabdcabbacbcbdccecccbcedacbcedbcebaebcedcaeaeddaddcbccceeacdedbddcddaeadccbcabaaaadeebcaecdaeeeeddaeccbbaabccabddadeadeabdccaeedadbdcaddacdbedaeadbdedbdbcacbadbddbbcdbcbacedbbaaeeceedbbbddaaeccbbaaeabddcdeabacbaebaecbeccccbbaccaddddbbaceceeecdbcecdedbabadacdbaebbaeedbccaecbaeabdcddbbbcabacdcbaedbaeececccaeaaabcaebbddabdadbcbcaedaeabddeaccebebcebcdabecdcbceabecaeabdbebcbecbaaedeadddbcabdeaacdbdebabebbcbbadcbdeadbababecbcbcabccacabcbdcdaabddeabbdaceabadbbbbcaacebcdadceddbedecbcbdeedbadecaaaddeababecccabbaababaabebdddddeccbddddcacaceaccebdceeabbabaddcbdbadedbcbbeecacddaeecedcaacecaadeaaceeadeddbbecdeaddcecaaeaedabbdaaceabcabdecdbdcbbceeacaacaadddccaabdedbaaddcebeaaedbedccbbccdaababcedccadcebebbcebdbdadbeaabdd
aaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaabaaaabaabb
aadedadebadabeddcbdabaabcdbcbaeceaadeaadeaadacbddaabadaecdedcbddbcddcacdedeaacbacedbccceebbcdcdebbbcabaddebddbbbeacebbabaacbbdebdecacdaadadedcdeadcbbdcdaaeeeaaceccdebbcddbbaccbbdccdbceceaaebdbabcbbaeadcdedeeccbbbdbaceddaaeadabccaebdbbbecbeabebbeedccecebdccbcdabbeebdebdbdbedcdcbeccdacddedadbcdbbeddadcdbeadceeedbbdaadacdccdddbcddaccbddbdbccbabbebbedbebaaededbbbceccaddbeddaddbbdcedadbebaabeaaadacceededadcbaeddcbcdcccacbdddedbdbcebdbcedaadcbecaededacaeeccecbabebdecbbbcabecaadaccaeaeeacdcedecdebeebdbbdcddababccdcdabadccdceeceeabecbedebddaedecbeecdbadededeeeaeaaedbdccedcbbdcebdaecccdcecccbdaeeaebddeadacabacbccaaadddbddcabecaeabbdabeacbdbcebeabeccccbaeecddbbccddaedabdaaecabedececbeeebbdeabcabbecbdcecdedadbaeabeceddcccdaedcadccceadccbbbcbcebebcdebddeceeebebaeaacebeccbbedbdbdbbcedbccedebcbeaacecdbeaeeebddcadcbbeceedebbcbacbbdbcbbabdeeedaccedbdbaeadbeddebbdddeebcaaabbdccdbcccadcaeaeaabdaccacecceedbbdbdbcecbdecbcbeacecdceebbccbdbbdcecaaeabbebaaaeddaaebbeddaeaaecedbcdbaddaabbeaddeddeeccbdcacadbaccaebcabacccbdeadedbccceaccdbdaadeccbbbbdaaebbaadaaeeebbceccababdccaecaddaaecddcceacdeeaceabceaceebbbedeede
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
abcddbaccedeadbbabddcbdeedccdbecdbacaadeacbabaecccaaeaecdcebeccaacecccdcdcabcdaeaeecbeaaaabacadbcecdbdbbadbbcbadbcccebcbaedcdbdeedabbebccdacdaccbcdbcececcaebcddacddadcebeaabbdcecadbaaaccadaeeeccbbcebbaecaedababbaccccdccdaeeaabbcbcdbebcdddcbdacadbeabbbccdbbbabcddcaadeadaaecbebaeeeacdbdbdedceedccaeaddbdceacacccdcebcacacacdaecbeeadadcbedddabedbbacbdbadbaedbeeddeedabaeedaacdbbedbecbedcdbdceedbacaacddaedabcecdeabcdeededeceaacacdadbedabaabbbaedcdeccaceabeadeebbecaeaccededdceddcedcddbbeaabcbbdeaddedcedaebcabadcaebaccbdadecedbbcbdbcaabbeeeeaebaeabacadacdacbaedeecbbcbababdabdeacbb
aaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaabaaabbb
dacbdecbbceaabeacccbedcaadcdbbebedbadcbbdebdeadaadebbceddaceaaebdeeebecbccdcbeaadcdeaaaacdebeedddbddaaddcbedabddbdacaddbedddeacadcbeedebdacbadedcaaecceadbdbaabbccabeeebbadedcedebacbaaccbedeabbeeebbaebdbbdcaebeaabcebaebedbbecdaeebdcceccdaabaabdabdbebddbbabaabdbadedbbaeabaeaaaaeadeeceaddcbcbedebddbcccddbabbcaacbdbcbdeeaccaabdceabaeaeebbceddabbedbebaddaabcbaddddcadaecedadbceaddabeabeadbeacbdebbccebcddbdbcecbadadeecaecaaadddcddeceaecaaebcaeeebbdbdaccbbbabedacdbcaedcdcabccccdaaeebeeccceebeceecaaceebcdacdaddedbeecedcadbcbcddebbadaeecbeddceebeadbaeacbbbbbdebcddbeddaacabdabebecdceabacacbecbaabdabeedbacdcabaecdebeaecabdcddabbcadbedbbdbdadeacbdacbcdbbbbacadacddddecbdeceaedcabbaaececaddebcbcdaacbdeebbcbdcdecedcdabacdcddaaacdddcdbaeeacedaedaacaaebbcaecdbdbdbbeaedbebcadccddabcdcbcdeddedcdabdceabeecbdcbebcdadbbddcadadaedacbbbadeedccadaecbbebbddcecdabdddcbcaacecddbeedeecdeedeabaedbcbcbebaeeeaaabebdbaccaddebaaaaceeddeccbbdaeaedaeadedbeaabbbddbdddabbbadbebebcdddacedebeceaeeebdcbdcebbaaededdaececcdcbeadeaebbebbbbbdccedaeebdcadbcdcdebdecbcccadcadebccaabadecbcaeaacceeeaacabaeaaaaadcaaeedeeccddbbaecdadccceeadccbdeeabcbdeeabbbecaacceeccccdeeeebacdeaadadedaaecccdddaadcecacaeecbbdcdcaceceabccabaabcbdcaecbcadebddbcdbddcdaabdbccdaeaeebbddecbedcdcbebabedadcaacabdbebecbadabbaababedeabaedacaeeeeceebbeaeadeadeecbdccebcaaacedebbabeeacaacbdacaecdaceccaaaccbccbbdeeeadebdccccaccdebabdeceaddeaeabeddebaddeacdebccdeacbbbaaebececcbbaaeceabaaebbccceddccbacddaddbeaebaaecbedbdeddbaddcbcbbbcccbcbedbcbdeebbedccebadeebcccaddeaadddaddeeabbeeddbdcbdcdbebcdbdcaccdeedaccedaaeebbebdcaedacbacdaebdabeebddcbddbbdceebeecdbcaddeabcdebdeeaabcabaddebbebbdcdcedccaecdedeabcbbecadececbaecadcababdebdcbeaebcddaabcedadeeddaddbbcdedbdddcbcebddeedbebebcbaadddeeebedbdcadaeaeceedeabacbadbbdcababcabbbedddedebbdeecbdebabeaedbddbbbcbeeddabcdbbddbaaacbcbecedededaeaabecaabceabdaddddeaaaeccbbbaebadddacbbceaceccabcecbadbcecdedbaccbadecbdccaadabebeddaeddecccaacbeeddbddaeebbbbdadbecebdcaecbdddeeebbaaeabcadccddaaaddedddddabebeeabadeeeadbccadaddbbaccbadddbccbbdcadaaaedddcbeadcbaaddcaacecacdcdedbcdabaeecededecbdcaadececdebadecbdbcbaaacadcdaaedaeccbebecceddbdbbbbdebbaebeccccddbebeeeabaaacaacbadaabecddeeaaeaddbceacceadeeceaebeccbbececdacbdbbbbaddeacdecdcdacadaebcbdcdeaaedadabeabccaceaebabbdbbcccdbdcaeaccbdeaccccbadecdeaabddcaaecabcabdeaabaeccbcceeacabaeaaceaeebcdbcedccadaacbecadbdbcbedddccbcddbeecbaadaeecccddaaeacaacdbbbcaebdebaadaddcceacabecdeabdedaadeeacbeddecbebdabcddcaeecaaaccecacbeeeedcdeebbdeecddbebdeddeadcbbebdbdeeebccddaaeecddbadcbecaeeeccdeccbcddaedbbdbaeabccdcbbcbcebccbdeeaebbcaccbcdabddccaabbacadbdcbaeebbebeebcededbaadedaadbaaaecddbeabaaaadacceecebcebadcecbaeddbcbbbbbdcececeadecbaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaabaaababb
bccddedecbdaabeeaabdebeadbbbddaedbbebaebbbececdcedcbeaceaecddacccbbeabeeaceddbbbedebdccdbaeccadacebabbeebecdeaabcbbaecdedbadcaeceebdbbebaedecccbeeccbcebdececedeaaabdabebcabaceaeebdbcecadadcaacdbecdbbcbedaaeaaaebdedebeceababcbeeaaeceeaebcadbbeedbbbacbceeeaadddbddaaadaaeecdcbdaddcdedcadbababeaaeaaecdbbeccabbdcadcccdcaaeebeadecaeedaddbecbcebcacdcaaceacbadbaabdbaecabbdbabaaebbcecaebecdaccbeededecbacccaccdebacdbeccceabadccddbabcdeaaeaaabddaebddcabadbdbdbeeacabeabccedeacdaaddaaaccddacebaceddbcceedbaaadceeaabeebdadacbaaabdaddcecdaeeeadbbeeedbcebdbccbaacaeaaabdeeecceababbcdaebecadbaedbddbaeccaecbccadaaaaacecaadadbcaccddcededecdcdbcadeecbbbecdaccbebdccbbbabadbaddbbedabdcacccadbeaceeabcaaaaccebbddbbeebecadadcdeaceddeeaeedaacbabdcddceeaaeaebeebdebcbaccbcaaacedadcdacadecdccaccdddaaaedebeeedaeeabaecdebbcedbbdebebdeaacedaddabdccabbacaddccebdbddeeaabdcecbaddcdbbcaaadbaebabadedbebabdecedbdeaaabbdbccadcebdbbeecccddeddbaeaaaebdaeeeeddbdabeadebaccbdcbedababadeacccbcbcbabaddedabbecbdcacdedcdacedaaeacdacbebbeebedeeccbddbdedabacacbaebcededabecaccbbaaeebdcbbcdeddbedaebcdceceadaeccdbaaedcacceebbacedabecbeedacdbbcdaaaccdaebbcbabcdcddabcabccbddebcadaadcccbbbabdcddabeeedceaacebcdbbebaeabadcaabccbacccdccacccbbeabbbaaddcbbdaeaddbecddceeddcecdececaaccdbebddcabbdcbadeadddbecacdcbddebbedbceacdebaeddaddcacaecdadacdacaacceddbbbddebcbdaabedbedbabbceddaacedeceeacaebaebadceaeecddebaacaecaaaecbbabcdbcdcadadaadbadbbedcededcbeabdeccaaebbababdcededdceceeeccbabbdbedbedeebcbdcbeeddddcaaceeeeddeacddbeddbbcadcbdeabdeebddcddbadaaeadbaacbabcbbeedbabadcbbceaacbbccaedcbcdadeabcdddcacacdabadaeadaedadbbddcccacecaeecebbacadcbecadaadeaaacddeaccababcdabdcdbacdbbbadaacceacedbdbaadecadcaaadaeaccbbdadcdceacdadaecadedbedeeceaecdbecedbeaecbbdeeddebbbcebacaaedeccdaabcbdcbdcadcbddbbcdbbeeccadaaabadcbcdbceeaacedabebcbabaaaaccedbdaabeaaadccbbbcaebcbbbaedadbceaeeeeadbabdabdaabebceabeeceaadcccaeeacbdcdbbdecbbacaccdaecebecadcabeccecddbdacabbedddacdbeaaededdabcaecbebebbdaaddabdbddbaddddaaedbeecbdaabacaabaeabcbbceceaadbbbaebdeeacecbbecbbecedbcdedbbaaccccaedaebceabcabdcadeddceecdecaceaccebdcdcabcbaacbabbedeeedebccaaeeadbdabeaeddbceabdaacdccbeccbebecddbbbaceacaaaeadecedcdadebcacadbcbcabebaeaeaeacbadbccbbdeddecabdeeeabcbdadbccbdbdbddeacdabcaeabbdabcbeedcbdedcddacaabcabecbebeedeebebdbbebcdbedecbaceddbbcbbaeecceecacdcbccdadbcabebebeeecaadecdcceeaceadacbbaeccdaacbeaecedcbacceedacedaeaaaaeabeddedeaedcaabeecdeddbbebdbeecaedacbbdceedcbaadbcedeeddcabaaaeddabaedbeccedacecebdcdbecedeecceeddbebdaeeacebacdbacbaaccacdecedbccbbbbedbdbdbeccdaccaeeccaaaacdbdbbcbcedadbedaeaebebbcbeedbbddadcbadeedbcdcababbccaddacabbcabcaddbcadaaadbddbdbaddadecbcccabdaeaeebbaadeaaaeeadeddeacdedeacceebbcdacbceceeceabacacbddecdbaecdccabcbceeadadbadeddcabaeeabeccdbabcbaacbcbebdabcecccebadcbeaebacbaeccedcaeeaccaaeeeacebdbbcbbeaedeacadeeaadbcddbbccaeabaddddbbbbbaadaadacedeebadabdccbcaeababbecdeaeadbecceacdbeecbeaeeecccedecedcdaddaddaacaeddbdebeaddabeedbcdbdecaebeebabccceeaadabcacdcaadedbabcabceeaaabebcadadceaecdebddeeabccaedcdcebbebbbeeadaadcbdcddcaecdeeecbeddedebbeabaedbeecddbceaeedebbbbdeecbebdbaddbbbdccceddbcdeeebcceccbbeabcacceecaecdbdcdacdbaebdcadddaeebeecbaacaceabdcaabdcebebbdeddcccbbdaebbdcaebeeecaacabdccdccadbddbcabbadcedcaaebeebbbecddccabcbbeebcaceadabdddadbdebeccaabdaeceedacb
aaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaabaaabab
abebeecdcbbcacdadbaebceabcbdcdabecbbcbdbccacdbbeaadbcaadeddacadecaeeddbebbdeaeeaaeeceebabececbadacddbbcdeebecbebccceadaceacecbdcaebadcebabacdacabdebddbebbcdeacaccebbdcecbddcdeeacadeadecaecebdbcdbcbcadcddaaecdebbeaceeceeacdbcbccbadbcbcccebdebcdedbdebbeaaeccaecbbcaabedcebddaebadbdbedbedbeaeeccdbacddabecacddbabaddacdacaceaedbdaecbdcaaaeededdcedadedceabcccaabecaedebddedcbbecddcdbcebebdcbeccbedcbeaccbdabecceecdedbbbdacdbdddcaacddaedabccadcacaebeeccbdbbaeacddadabeedbaedcccaecbcbadabbbbbdcbaaaadeeaecedddcceecbcdcadbebbbbcececcccacccdddadcedaabddecbadbabebedeeeddbdbcabbbbaeaebaadeaacbeebaebcedbcdbabbccbeeebebdbaceabbdabebdbabddcddabdeaacdbceaadacebbacdbbeaedbedcaacaceeabdadadbacddeabaddeaebdcbaeeeddebdcaaddeeabbcedebbdcadebacdabccebabbcbcbbcbcaaeebcdccbedeedbcaeceddcebaecedabebcdaebcdbeebaecadcaabacdbaaddecabadcccacdaebdbabddabdcbccbdbccdcccecbcbcebebbcdcadecdeebdddedbdcdaccaeebacbccaadcabeeecadcceeaaedcddaceecbacceebdbaecabedacaadddbabddbdcbedcdeaeadebaacedcaabeacdbbdaeddbdeceecaebcdcbeaacedeedbaeeeedaceaabaeededebccaecbabcecdceabaeabbdeacaacaebdbeceeadabcecedbcebdadecddbccdecbbadbeaeceeddceaeacadaebaeccbcbedadeedbddebdcadabddbcaaddeccdaaacaacbbcbadadaadbdbcbdddbcedaebcbcceedecdaacaabbdceebabbdaaedeaacedcdbebeeaaddbabebcaabbeabccbaccbcbbbaedaeacdeacccbacebecedbacaccbcdaabaedebdbaadbcdbdaeacdddabdaacdaaaebcadaabbaedbabcdcbcaaeaddcedadaadacccadcddecddebbdbacbeedceecbbacbdbaaacebababaaeecaddcaadacbbbaccebebbedbcebbbdacabaeccabbcdadcaaabdcebbbddaaacabeaddbdebbddabddccedacdcceedbabebbcaebbaaaccbedddddbeaeedddebbadbadaabcdbbcaddeeddbbecadadecaeeadaccbbecbbddcabecdabdedaaadbbdaeeeeebeccababcebbbadcaaccdaecedcbdebdcedeabcdadbecaabdedcadadeddcaabadececededabdaecbbddbcebdcadcbbaaeeecdceadbdebdbbacbcbbadbbbeaeebcaeceeccbcdcbdbababacdeacbdebaccccedcaabbdebceaecbeeecceaacdacbecdbacbeddeadbebcebeacdacaabbbcccbbbbaccebcdbeabadcbeeeaececdecbdaeeeebdaceaeedacabeeaceaabcdeddbddeaddbbdbcbaceaebcbbbcdadaddccbddadbbcacabaccebeedbbaedcacabcacceadbddbdddecbaebdacdcaadbedbdbadacacaebcacdbbdcdacaaaedbabadbbacceaceebeaecacbaaeeecaeddcabbcecdeacabceeebcdaeddabcbaebaaebacdeddcdbccbacccadebacaacacaddeceddbdabdccdeddaeaedcebceaacdeadacbecebdaebdaaeaaaeeebbcacedacaabbaccdacbdaecadedddedbddbdadeeabaeabbccbbbbdacbdcedaabccbcddebcebaeededceadbcdcbddcbebbabebaebbeeebbcdadadbcddcdeddcdacecebdaacaddbccbeaebaaadeeeaeeedbbdacbcaeeaccddcececaacbbeebdbaecddccabbcbbbcccbaddceedabbdaeeeccdcabdebcaabacbdabaacaeeacedadaaaeebebbabbcdecaedecbbcabcedbcccaaabbeedcabccbbabeccccceaaeaecdabbdbbccccedbecdadebbaaabccceaddbcecadbbdcbabdddbbcbdbacaeaaadcbdcaedecbedcdbeaaeedeacdeaaaaebceebbcbcedbdeedbeabcdacecbaecbececabbdcaddaabebeeddcbababcbcebcbddbdcedaccdeccdbecddbaaaeceaababecaccdacdaaacdaadebceccbecdcdedeacdaadedcbeccdadbaddaabebacdaaeadecedeeebaacedbcabccdcbcacedbcecadcbcaecabcebaecbeeaeaecaabbcdadbabddaeeeeeecaddbbecbdcbdaaccddbbabdadaadcceaaaeaccaceedacbadedbddacbaceacbaaadbceaaebccccbdccdceceeaebabcaccedbdccabdbdbdeacdccaccbecdeedacedcacecebcbecdcdaedecadbcbdddaabbdcddbddbbbbbdcabdddbacedbdeedcdeebabddcbbaeaebbeccdebcceaababbaedbbbaccccccabdebeeeabdbaebabdbceeddaaddebbdddaabbcbddeeaeabdeddebdbbbbaeaeccacdbeebaddcaccdaacaadebebacaaebebaaacecabdbcaeddcbecbdaeecbeabbaddeadceacacadcbdcdeecacbaaddbeeeeaaceedeecaeeaecbececdadcbcebaecaaceaeaadabceebececcdadadabeaadbbdccedcaeddacbabaecaeaccdadecceacabaeedaededcacdbbddeddcdadbdbcdecceccccbddcbbbcbdddcabedddeccbacdecdaecaadcacdddaebecedbedebcbbaedbbbccbbeabbceadebddaeabaecaeddebaecaacbedabddbecabcbccdccaeceaebbdcdcabaebabdbbadabdadacddbcadeebecccdeddbbeadeaceadeaeceacedeccacebbaadcadaceddeedcdabdadecdeececebabebeccccceddeedaccaabeebcababbecbaedecdcbcbcabacdbbceeedabcbadadccdcdebdabeaeacdcebbceecbaedeacdbebdeaccdeacbbbdeabedebdbaededadbdadbbbbcccdbdeacdebbddecbcddbcdebecbdcbdcabccdacceeebcbcacbbabdadabedaaaeabccddacdcedcebcaedaedacaabccdbbabccbecaebcbddbeaddbceededbcbcecdcccadbaeadadeeedcbbdddaceededbcaaaabbeadaeeadacdbcaaebadeadcdabcabbdbecbdeaaebbcbeeddeadadcabbeaeeaaecebdbeaadccbdecbaaeeeeacbeddadbeccacbcdaaabaedbdaebdbbebbbceaadccccdbbdedadddacaddccceddaadeedebadeebdccbceeaacbccabeecebaedebbcdaccababeabdabdebcdbbabeeeacbeebebacaacccacbcebbdddabbcbeaaabbaaedbccbaebccdeddcaaeaabaaeedcbaacdbbeaaebdcecdccdbbeeadbdacbccacbddddeccaadbaadaaccecbceaedaaccbebbabcbbcaabccdcadecaadeabbcdbaeadedebeedaaadebdcaabedeaecabbbcedeedcedbbdcddbbcdaeebccdbecaedcebcebbacbcdcdecdbcdddecbceecdcebebcebaabbecebcaaebaabaebecdabebbbdabeaacdecdacbcbbcacccabdadeeaccbeccacadadbeceeaddceeeeabcadbeddbccaddedeaebbbcacbebedacdebeeadadacccdcbeccaabbbacbaddcccceeea
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaababb
cbbedabbeceddbacabbebcbbdcecebedddcacdadddaedebbeebcddcecbdecaccbbedddbdbaacdebeacdaabbabcadcadadcebecaaecdabbddcccbaebabbceedbadaddacddadacabcbaeaacdacadeeabccbececcbecdddaabccedddddcebbecabebdddaeebcbeaeeebbcbcdadadaccabcaabbebbbebbbdbbedbeeaccddbaaeceaabaedddecccdedbedadbddaceaecdabbbbbceeedbeadbeeeebeebcbdcecdbcaddadebcbbcbcebebcdaaeeabbecebbbcdebdeddeededbdbbcceceecbdbdbebdacbcecdbcbbcdaaaccbbccbbcbcdecebeccaebceecdbdecdcddabcadabcaecabbaacaaddbaceebcabcccbeeceadcedbddcdcbabacecaaeadecbbaeccadaeddceaacedadeadedeecdadabccaedbbbbaaccccaacbeaeeebadecbdbcceaaedaeeacdaeeaeedcdccbeaeacacdedbbbdbadcbbeeaeddadcbadcabacedcadddddbddaceeedceecbbbbeadaaeebdddadeaecaceaaeebadaedeabdebccdadcabacdadedccabaabaeeabeadaecccccebdcdceedecbdcaabaeccddcaeaaecdedaadedeacaeceeaecdeeeeeebacccdbabbeabcbdaeaabcdbaacdddcabedbbdeaebaadcdecaaadbdddbbcedeacdbadcebccbeccedddedbaccdebabadbaadacbebbccabaaebaeccbddecacadbaaccebaecccbecdabaaeaeaededabeddebaeedcadaeaecbbebcddbbcdeaddddcbbbdecbddebcbdeadbbbecebdaaccadaddbaabebdddddbbbeaecabdececabecadbaebedaabededadbacebbaddbbcbaeeabebbdceabaaddbbcdacbcecbbbaaacadeecdedeabceacaaadbcebaddecccabcebdcadbeccebababaacebdcaecddadcccdacadacbddccdcabcbbcbaaeaebcaabaebceaadacadacaceaacdadcebaedbbaaccaeaacbaadaaddbaaeaeeeabaecbadcecacbcebdcbadcedebbdbedcaeebcbabdecdeceadddacdcdaccebebaeacaaadaaacceccbccabeddbeadbdbdbaddeeacaababedcbec
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaabaaaaabaabb
ebeabaeecaacababdcbddbaecdacbdacdcbdceadcbcaddcddecbabaececadcbddadccbbeaebdbbcabacccececcdcadcecadccbceaaebdecaceaabbbaaebcedadceebeaebcbccaaaebaaabccaaccdcccdcacbdeaeacbdddaadbdcaabcccaeeccedcbedddaaaebcabacededcabcdceeeccabbcaebdaabbbdacaccbdcccbabcabacaadaaebeadeaaacdbeacddbeedcbcdcdcbdbceddbdeacedeebbdedaedeaaabaceaaaaeaddabecbdddbaadabecbdccebdeeeebbabddedbdbaeebccddeeacaddceddccdeeeacbddeabacebaeceebcdedcbeeecaadbbcedbeabadbdeadaccbabbbabebeeeaeceedabdbbeadaadbabaadbbbedbdbcaeabbcddbedebaccaacebbcbdabcdaaeaeaaabdbaddbdccedcdbbccbabccbebcdceaccdbdcaeadddbdddddabcccddaccceeadeeaadbeedddaabdccdecdaebbebdedacedaedbeacddabdbecaeaceeebbcdceeeececcabcedacdecadabdececbdacaeebedbdceaecdaddacbeedcabcbcccbedeecdabdbecdabacbddbcceaeaeccdcbaebbeedcaaccbeabdcacebeaddedabbecaaeaccacaecbaccaadbceebdbadebeaddacabbcdeadbcdcdccdecabbbbbbeaaececabaedbadadadadaadbaceaeeeabceedadaeabecdbebeacecedacadebdeebdabdabeaaeeccadacdbbbbaaabdbbcabebebccadedabcaccbcebccbacbdebeeecacebaedcebedbcdccebeeeeacdddedadcacdcbcddabeddcbacaabcebbdaaabbdbeabdbaaaadcaadaecbedbeebceeeceaadeeddbdbdacddcbbeabccddcdcceabebeeedaedbdedaddeeaebcbcebaebbccedabecaaaecaceebdcaaaaaaedcdabeceeedcdecaedcadaeebbbcebccecebdddddbbcddbecbbbeeaedecceebccabdeacacbbbdabecaedebcbecacedddbcbedebabeeacdacadbebeacdecebaabcaacdcecbeebcbbaceacdeeccaaeeddbbccdcdaedbeaedeecaacacdcbebddccecaaceabdccaeebcadbdcecadabbebdbacdcbaabcdcacebdecdbccbbaadebbcdebabdaacecbbceaecdceaacdcadbbaedcbeccdcabbbeaaebedbdadbcaadcddadbacbccdcecbaaeeddacbdabbdbececbbacbecabdcdabedbcbcebdbbadddadbbddcebaebeaaddceaebbebdccabcddededccedbdeabccddbcabbdcddcdeccdadaeadcacbabedbaeadbbbecadacdcabacebbdeeceeddaddbabdcbdadbecdaedbadabcdaadeabbeabeebbddeccdbaaaceccabaacaaddaccebcbcbaccceadceecedeaceeddeddadeadcbecabcddbcecddceecdcceaaaaabedbdbededdbeedbddedeabdadbcccbbacdeaedcdabdaddcbcaaecbecdbbeababaadbcabdbadeecedeadcdcdbbcdbeedbebccccdeacdbceadabecdecbcbdaeaedbbbcbdbbdeeadbdaadaedbdcdcdecaaaeacdbeedabeebeedaddbcbadbcacedcabaadecccddedaaabadcaaabaaabccaeecaadadbddabbcbbedeccccaddeeeeecccacdceacaaabcbacaadcceebecaecdcbddbbddecdbaabbebccaeebdcceebdcdebcedeaaddaebaacbcebdebebccceedddbcebcbaeedddbcdeadcedcdaedbaabcaaeeadcedebcebbaadeccedaaccdaedaaebcdbeceacdeeedcdceeedbabddbeeeaeebaedabacccadccabaebcbcdbadaccbddccaaadaaaecaaabdcddbecadccaecbdeaecbeaeabaadebbdabdabebeeecbdaeedaedacabbbdaaebdecaddbcecebaadadbbcabeaeacabecdadaebeecbdedddcacbadedaadddbaeaceddaaebaadcedaebaaaadceabeadeaccdaadbaeaecaddbbbdddbabdbdbcddbaeceedaaaabcdceedaaecccebcbcaecccedddedceaeadbceedeabbebeeaacbeaeeeddbeeabedaeadedaccedcceddcbcaebcbaeeaaccaccebdabadaebcedacbdcbcdaeaaeedeacccaecebdaceeadbedbdcaceddbddddeabeeabbedacbaeecceeceaaeacbdaaebbdaccdbdeeadcaacbcacbacbaabcaebabcaddaeaeaeaebeabdceacbeabdbbcececbbbeeccabedeceabdecebcdbeabacdadccdcbddabadbdddaeaecccecdccddcbddebdacedbeabdcbcbebccdadaececdebaabcebedcdcdababebbbbebdecaaaddceeeceebeeeadebcaebcbacdeceecdeceadcbabbbdccaadbbadbcbeaadaaaabdceaaabbcbbcdbabadcbaeaaacedcbceccaaddbaedbabedbcaecaecbeecbeabdeccacbcdbbacecaddecceaeeaeadcbcdeabedebbbdedeabbbcceebdabeccadecccdaacbdcbbaaaaaeccebeccdccdeeeecebabdaebdddcaeedbcbdbaeaeaeadceadbbbcdeaaadbedecabacceebbeadcaceebeeadecbbdcdddbabecbdcbebbabccbaccaabdbaebedadabebdbbaadcbaeaededaccaaecdcebdededbcaaecddadbecbbcdbeaddcbddaceaeeaadcddbbbdcecccbbcbcdcacbbbdebaabebcebddeebccecbcebacaeeacceaebaabacccdbdecbcddbbcaababacaccedaeebcecaeebadaebecddebcdaabeeabdacebbababeeecaccebcdabacbedeeacbedeadddbadcdcbeeadbeeeceabeaeeabeebbaddacccaebecebcacdddaadecacdbcdcaacbecabcdacccaaecebeeccceaccadccadbdaaebcdbedebbecbeddaeddceacadedbceadebbaeccbcabbbbcbedebacdcadadbdadceeedededbbcaaeedcaeaeeecbbdeaadbbdadbaecceeddacadbbadcddddedccccbdeeabedeeadbcccabedceebcabccbddcaeebeaecceccdaddceeecdcdadaaebcbccadbeeaaccedbdeddbcebacecacabdbaebcdebdebebaebbdcaecbebbacddaeedaaaebccabcdabcbaadaceacbdebbbeccbccbcceaebdededbeebbecacddcbcceabbebdabcaebecacbbadaddcecbcddbacbdaeaeaaeaccabcbebadacebeecebeccbabeabcaaebeaacaaacdcaabacceadcbeadcedebeabbcbbebacccecbbcdaeebeebaeacbecdccadabcaecdddbedcbadeceadbadeebaececbeeaeedabecaeddceabdbbbaeeccbcddbdcecceaacacdcabbeaebeabedeadbaceeddedabdaabdcceeebecbcbabdbbebbbebecbbcaebcadadbaddeaaaeadabacbdecaaeeeeeccbbeabbcdbabdcbdeedcaaceaecabdbaeecbdbcccdacdceddbaecacebbcddddcabdcacedaabcdccdceaebbbdaeadccccedadaddedcadebeeedbdbcebecbedabacadaeabbceeabcbcccdeecadaabbdeddadbcdbbabaaecddaaaadacaeaeadcdacaaeecbebcdecedccddacbaceccdedcdeacdbaceaebcdccbdebaebeeaadaeebebcadadcdccbeebaeebbadbabaeadecaddbacbebadebcaccecabadddabaebabbcdbbdbdadcbcdabebebebbcadeeebdaabbbceebebeabecdaeeeadbaeacddbbaeaeedbbadddcebceeebeaaecaddbdabaccbbbaaedbebeeccacdecbcbedecbddcacbcbebeaedaebbeabadedabebbcecbebaabaaedcdaccdbcacebbadbddbeabaddcbedbaeaeaecdabddeddcbdccdeccebeacacbcbcaeebbcbcccceacdcbaaabaadaaaabaedbbcaaebabbeddeeedeaabeddacedcbaabbccaaaaaaacedacaaeacbdaeeceaaeeddaecabaebcbeedcecddbeeacebacabbebdcbeccceeadcebeaaeecadccedbcccedcadabeedeeadbeeaabdeadebbcaacccebdadbcedaacbcaedbcdedebcaeaebecdedcadbebadeabacbcbadbeabbbebebaebceecbccabacbeaddbbeaebdeadebcade
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaabaaababb
bdcbbbecdadaecccccacabbbedceadabcbbccdaceededdbdacacabddbaaaebcbecbdbcedeacdedbaeadaaacccedcbaceebbcabaedccebdceecaabeccccdcadecadbcdcdcccadaaeadbebdbdbbcadccdbddcecadaedbccbebceddebbccedcaacaebbdaccebbecdccacbcacbbbcbbbbbabdaabaaebccbbdedaaddeebcbadaceebaceadcdbacedacbcaccdaebacaacdecbbcbeeadbbebcabebebbddebcecdebcbbbcaeeebbddadeedbacebbeabbcbedacbeebaabcecbbeedcadabacebbaebcbabcedececaccbabbeadeceaeebccbceadaebcccebcecdaaeeedbdddbbceeacbdaccacccbceeaacdbaedbaceceedcdbacbdacceadddaabbccebbebabadaaaabccedabeddccbaedeaaebbdcbaedeceaeeeaabddabecedeedbedebcddecbcdecaddabeebbabaadeaaceceebddabdadaeedccdebadeacdabbbdccaddcaacebbbecaedeaccadabcbddeadebceabbccbcdedadbeeebabadebcacdbedcbdccabadeebbdeaecbccbdbbacdcceaeceebbcebceadcdbeebdcccbaaeacaeccaeecbdbcdabebbddebccaeeeccacaccedddbeaacecabcbbbbadacceedeecdccaedbadcdedecaaecaeecacdedeeecaebddceaadbebaceecdcedbccebdbdbebebaceabadaddbddeaacbdcccdcaedeebeddadeeebadceeeedadbdaebcebeaddbdadceeaaaecbeadbcbbceecebdedbdbbdbcdecadeedaeadbacbbeabaecdebcdaebaddecdedadecdccedbcabedeceebcdbdbacadecbcedbeaeecbabaebcaaceabedddbbebadedceebbdbdacdacccdbeddddebabdddeeecbcadccedcdbaaccdddccdeddeddbababceddcadcadbbabcabdbcddbbaacaeadbcaddacbeebdbacdaabaeabdceadacadeecbcbbeebcbcabbecddedaadaecdecdbebdccbadaadedbdabbacaabadbebbcecabbbcaaabaaeccdaaabaabacacccddbecbbdbecaeeecebcdedaacbdabebdbebecbeddbddbcadcaecaddadaaaaebcdbdddbbdcaabedbdeeadcccdcbddcebabdcaceeacaebdeccedaacaccaecceecbaccaadedadbaaadedccdaebbaabcdceebeeabeedaedeeeecbeadacaccbebcadabaeebadcbeceddcecebbebbbeeaedcccaabdebbaabadecadbdaeecbcecdbaaadccadcedcddabbcabaedcacbbbdbadebddbebbbbdcbbbcbaacaaecadeadcccbadeebbbcdebbeaaebedeaddcccbcbbbbdddcbcacceeeeabbdecdbabaebaecbaabdcbeaccabaebeeaaaecacdbbcadbdecaebebaedebbcebccbdbbdbdebebcceadabcacaacdccadbaacabbebabdddadeccacceebdceaabebcdaabdeeaccbddaedeacabdbbddacbeaebabdaccbbcdeaadcecacbcecbcbddeabbdeacbbaeddcddcbdeceeaaebecbdbeeabdeecbabdacdbcadcaadcbbdedaebceaeecdddeceeecbbeaabaabbaaacdecaebbbcdeebecdcbdbcddddacdbebaeaedbaaeaaaebedccdeaedbcddadaedecdaececacbcdbbebbecadaebeacdaedadabdacebcdeaeddabecdadeecdcdeceeebbabcbbdadaceeeeaeaaeeaedabeecddabeccaaeeaabdaddebeabaadacbbbbcecbdccbdcbecbccbccdbedcbedcedeacaeadbddacbddeceecdadcbcccaddabecbdbbdcbedabcbebaaebebbddaabbceaebbecbacecaaecddbcbecacdbdbeaabbcdceebcbaceacaccbdedbbeaedadeebaceccaebdabdcbcdaaddadeeccaeabdecaabecebcaaaaaaceddaabccecbacdcbcbdcedbadaccaeecbcdeeaaddbadcdedaabaaeeaccdccecdddbbeeaabbdddcedeeabdedecddaccacdeeeccabcbcacaadcbbeebbeceeeeddabeadeadaceeedcededddbaddbccceaadbddcedbedaedaddaaebbbabcecaebbccdbeeabbadedbbbaebabeaecaeabdedeedcecbceebacdbdcaaccaccbeadaaaeccbdbcacebeecabcbacbbccadebecadeaeacbebdaadbeeeedbdaebeaddaebbaaeebcbaecdcadaccdedebddcecacbaccccbcaacdeabbddededaeeebdadedaeadeeebbdabdbecbcedecacdacdeacdbbbeebadaadeacbdbbdecedadacbdbbbdaecccbcabcacdddadcbbdebaeaadceacbeddbceadecdbebcaecaceacbacddeceeaeadaadccddcebedabbeeeacabeeaddabaaeeedddcbceecbcbcddbbecaecabbdacdbdcecadeaeacabcebdaabacbaeedecaeeedbbcbbdeaeabacecbecbdbaceecaeeeadcebeaccabeeacabdaaabcabaabeecdbdcabeedcbdeaecbdeccdebcbdedcebcaabdccbeeccacacbbdceccbecdedbcbeadbadaddeebddbacbecceabbcbcdebdddedbecbcddecbcdbcbcbeeeabdebbbdcebbabdcbeebdecadcbdcbeaceddaeacacbabbaabeecbacaebecadedacbbabcbdedadeebcdabcdbdcbdcbaeaddaddbebcedabceadbadcaeaaecbddbabdaebedcccabdbbbabdcbcccbdbbbdccaddbebcceecadcbceccadedaebeeaeddddeddaeecdbaacedcdaaedecdaccbaeacbaedbddbcbaabaecbecccbeddcebcdbdddaddcacabaaacedacbdecadadbabeedbeeacadaabbcbebdecbdbccdbabbcceddbbadeaaeedccadbaededacccacdccbccadcaadbcebabedbebbbdcbaaedcadbdeaaceddbbbcbadccdaedabecabbdeeddbdadccdddebbdbecbdcedebddebeadbaebeeabddbccaaceeaddaeddcebdcdedacaeddedeeceeaeaeaeaaeaaccaea
aaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaazaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaabaaaababb
eccacebeeabaccabbdcdccedbabdddbbdbadeebbabeedabbcbedbcacbacbaaeadacdcbcecaeeabcabcecdcedacaeadacbbbdccaccbaaacaaaebcbdbabbeccdecbbdbceecaebddaecbebaacccdecaeebcadebcbccbceacecabdecbccadbebabdeabbcbecdaacbceacaeebeededebacdaabdedaccbababcacbabeeaceeebeccdcabbeeadbeaccdacebbadccdccadaaaebacdcccedcbcddabcddabdecbbbcebcacaccacdacabeacbbbaadbbbaaabbaaeabbbcceaacccdaeccbedbabccaeaebedbbeacceacabcbbcebedecbacacddcedeeacaabaabbbcebaecedababcaceddeacdadaeecdaaeddbceabcaceedcdecdadeadbaedebeaabccddceeacceabbaeecedbbcabeaedadaccaabeadadcedabdaddedecaaebddceeebbabddcececcdcbeadeaebcaceddaedeebbabbbcdbcbeeedabebcdabcaaeeeaadbebcacbaabedaddbecacdcabbddebaecdedddddacdcdecceceebceadccacbccddcceecdeccdedadbbaddadeaceecccabeebaaebaccbcddcbbbbbccbbcdaeadcbdbdbebdcdbddcedeeaceadcceabbaddbaebcecdbbdaeebcadecddcaddabaececbbcdcceedccdcaebbdcacddebeacebaabbccdbdacdbccdcdececadbdbacbcdecacdccddbdaecebdeecddbaaeedbdbdbaadcbaecbddecbaedeadbbdaacdaecbeedbbacecacdcdeecbbbdaedbcaecbdebbbceaddecbecdaaedadadaeccbaeeaaedcbedeebeddbcacacbaadcbadaebebebdccaabecedeeadeeedeadaeaadcecedceeadaaaedcaedaacbaccbbcaabbdeeebcbdcbbcceaccdcaebcadcaaddbaecbbddaedabdecaceaabcaddbbcbbacdadeedacbbdeebdbeaaecbebccedadceeceddbecadbdebebcddbbbcebdecacebcdcdbcceccaecdabbddccebdddedaddeddedaeeddadaeaaebaeeabebbbcbcaabceacaaaadaacceceacbeaabbabcbbcdbceedeacacbdacaccadbeaaeebebbbbacbcbaadeacebdbbccdbeaabccabdcddcebdcaeeeedcadacdbcbdcbbcbddddcaeeaccbabeecddcaabebbdeededbbbcdcdbaebacdddcdeeaecddcedadeecaabeebadebddcbbecbceeaebacdcebbaacedcedcabdaaecbcbebdcaabeeeaccbecdbcdbeaebbaabdbccdeccedbeccdbdaaeedceeddcaacbedcdedcbebcedabeaebedaadeebadeaadeeebaedceadececaeabecbbdeabecaddceebaccdabedcecbdcddeaabddbbbcabceebacecccabbbceceeaadeadccbaebeecbedecccdeaddbceeddbeaeebbccbddddcebddeeecddadddccadbebdeaceecaaedbbaedcaebccdeebaeadeaaacedecaccdedbdbabccbccdedcdbcacaccdacdbaedccebcabdccddaddadcebcacadadabecebccceceeacaeedbcbddbbcaeedadbaeacdadbcbaddaceebeaccddaeebedbdaaacdebcadbceadeecbbdabadccecdceaeeaecbdcabdadccdaaeacdaccbaabeddbaeadbbeaeeaedecccacecacebabedbdcbabbaccabaedeeeaedcabcbedbebcdadbaaccdedeebdcdbddacbbbeebabdacaeaceeaeaebdebaccaabebdaccbcaccacedccbccbdbaaedbebedacdeadcaadcadaecdcabebcdeccdbbcccbbbedeabaaadbadedbaadedaceedbaaabcbdaabbaceeabecedadaaabacdabeedcddcaeacbecbeabdaaeadcdbdbabebbccdedbbdcaadaedceabeedddcbccbdeceeccaadcccaaddbbbecaddccedceebbcccdeedbbebaabeabdbbddbecebddddadcaecececccdcbdbedadbcacaccbdabbbbebeaeeaecdeeedaadbbdababdacdebdaebaadeddcdadbebbcdceabececceadebcabbabccebcbcdacebcacadcdacdacaaaedddddedceaadadbeabddabedcbbceccaddeebdaecddcddbbacbadbdaddaeabbecddceacbdbbcbbedcebdaedbbcdcdddbdacedaededbddadebbbceadeabedbeeadacabcdcaedbaccdbbeccaaabdaeccaeebaadeebbebebdaabddcaaecddecacdbbecdebccdbbdbedabebcecbcbdddccbdbcdebedecdabebccaabdddbeabcaebdaedecaccaeabbbadbcdabbdeaaeaacbadcabbddedbabdaadccecadeebdeeabcddaabcccdbbdedeeabaecdcaaeabbcbbabdebadccaeaddabcbecccacccdeaeadeadeacdbedbcbcaeeccbbeadbdebccabceaabcadcbcbdbcbddadcaebacbbaedeebaedcddaeddcddadbeaeaeedeeddbeadedbbebdabcbbbdcceabebeeadbbdbccabdebbccaeeeecdeeeaebddadacbbadddaccaadaeacccceacdddcebedeaacddecbdeadabacbeaaeabecdebababbabdbbabdcadbebaceaecccdecddeadeabcacaecddaedccbebdcecadcdcabcdcccdddadbcaadecceedcaebbdebcbacddccbcbbdebccedceabacbadcbcdaddabaedaedcdbbccbbcbbdaceedaaceceadbdcaccababbacecadedebdcdabedecadbcdeeadacebdbcdbadabccbaadabcbbbcacaccaeadddaebdaeebdddecbcbbedbdcedddebeddbdbeeceeecaacaeeeecddebdaaaeeaecdbcaedccdcdbbddebbeeabadeaadcdcdeeebecbaeacbceecacabaddaeacceddbcbcaceaddecdeeecbcebbeccbabdaccbecbbcbcebdcccebecaacbaedecebbcdcbaaeedcacdedeeddebddeebbccdcacdacebabdeecccedcacdbaaabceeecccaccecbeeaadeddceaadecbcebdccacaaaeceebccdeecabcdeedacadbceddadaeadebcbadbdceeabbacddaddddcaeeaeddeacadcbdcceadcaaeaeaeebaeebcbddcbdbcdecdddeeabecbacedbbcaadabecccddddaceaaebbdedbacbaacbdacdaeabdbcdebabbbdeacadbbcaccccccaaddcbacbaacbbeedcaacebcdbdcbceebdadeedabbceacdadaecdccddadecbcabceadaaabaceaaebabbdcdcdaceecabddbeeaecdcddecddbedebcdbbabddaccecac
aaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaabaabb
daaddbddeacbdbbcdddebacccebdbeddaaccedaecebbebbabbbadaaaaedbdcaeeceaaceebadedaaddcadddcbcaddcdcdecbdbaabaedadaabebadbaeaebdaeecccebeaecbaaccebaabbebeecaeddbeeeecbbacedaaddbaeddebcaeaaedecaadbbaebcbbccaebebdbcbaeccbdeacdceeebbcdedcbcdcadaebdbedceecedcaadbcedcacddcbdddceaaccebdedabcecaeacbbcbcdcbddbededbbcdabddcaacbaaaaadaaecbdcbcdbcdadcdbcbebddaaccadeebadbbaddedcecabbebcedebebecbbbaaeabacbacdbbaadeaabceadcabecaeabbbdcdbcacabdeeaaeabcdbaacbedabebdbeadddcdbaaeaeeedcbdbcedececdecaebadcccccdadcebeabebebbdcaadbbcbddbeeeaaaceacdcebcbcddeabdaecdcbcbcddbbcaabeadbdbaadbecccbeedaecedaceadbdcbcdcbcacadeabdbcdedddccaaabebebaacccccdabcaeaabaebecaacbccbaeddcccedaebcdeceaaebeabbeaaeaceddadebeebbaebbcaeeebdcdeddbcadbddcddddaccbbceadaceabaadbdeaaebcccabbbbaeabeccebbbabcdebdbbcaadaccaedaeebbbaeaaccccceebbeeadbebeeeeaaedebcacccadeacbdeaecabdcdeceaaaeadcbbeacddabceeeecbebacdeebcdbadadecdbcddacebebdcceecbdcbcaebbbecaaacaadcddcdcacbacbadbdaabdadbadcbaaedbbaaedbcccabbbabcaecbceadbbaadadacedcbaaacbddecaaceeeccebcdaecdaeecddaeeabeeccdcdcdaedaabbbcceddecceeedccdabeedbadbcdbaaedaddcddcbeecbabadbccadaedddbaadcaaaecebeacaeabbebdadabadeebaccabeebeacccbbbddcabdcceedebbcbcaadbeeacddabdeedbecebdaeedbecbebddbdaeadbbbadaccdcbddcbdcbedddaaaddaacebabdcadeababdcbbdbeeecdebaecceaeecccecaeeebccdbeecddeecdecabaedceeaebdaaaeadccdebaeceaababbdedbedeabdadccaeaabeaaeadebbabaddccdbbdeabadbbaedcacceeaaaaebabcaccecaaebcbbeaedbdabcdeeebcbbececbaacaadeeebabdedcedbcabdddecbadacdbabdccdbcdcccdcabbcbedbdeecbeccdddebbeaededeccedeedadbdeebabeadeccceecccdeabccdccedccedbcdbeecbdedbabbacacbbcbdceaeeeeabbaddadcbbabceaddbbcdececacccbececbbeaddaddaadbbbcbbceddcecdbaeababaceabdaceaadcbdaaaeeadceedaecbdeedeeeeecdacbbcbcebeacceeeaeeacacaebaaeeeccabbceaaedbabeedababbedebdabdaccbbaadaabebdcdaabaaedcbdaadabdeecacaeeccedbeadddaebeeeccaddcceeccecbbbdadceacabbcdeebecbcbaeededbeaedebbbdbcaaedaeddddaebdcbbbbaaaaeabcecacabeaaecbaccacccaebdcdddaaaddabbcbdbcaacaebdaebcbcaeedeeacdeeccaddeedaeceaccbdebaceeaecaabbadaeedccddccebadadbcabaeccebbaaecdeebcbceabbddddeecababbdcebedaacbdacbacaadcaedaabbaaebdbadaceecbcbecbbbecbedcdbbddadcacbcccbdeaccebceceaddececbeebedaaeeeebbcacccdbcaaaceeeaacbabddaaebddecbecbdeacdecaeccdeacacbbcecedaedcadeaacaaddecaadecdadcceebdabadedeacccedbbaabdbbbabdcaececdabecdabeedacdbbbeaceceebedeeeedacbebeecaaaddcbdacdbcceceddcdbcaecabbbdbeaddbadbbaedebcecdaceaabaeeeabecdcbaecccbcccaecdcaeedbabcddaddabaabdcebbeacbedccdebbcddedbbabbababbddddabeacbbbbedbeabbccddabcacdbdbcbbbcbdacbadadeeeeacdbedabddebdcdbbbddcbdeaaeacadbddbbecbbeacccabacccddcbabacacdcbccacaecbadaebbebdbdbcadaededaccedccaadbeecdbedbbdbeeaeddbdacceddcdccbecabeababbaeddeeaaedeabddedacebceddcadbebcacdbdbaebcddadacececcccceaedeebadbaaaccaacadaccdadceccedccccdbbebeeeaddcadceabeaadaeeddeedaddaaeeaaddddbcceeebccaebddadaceebaeabeaaadbbcbcbcbbedbecdadecebeebcddcebecdaaaccbcadadcceacbbacdbebcacaccdcabeadeeacbcddedeeaeddacdaeadcedacabaaebbddbdbdbbeccbbcadceddacacccbecebddcabcebddddbeadcebabcbdbcdbadcaedcabaabdbabbebccccbcbaaacbadebdcbabcaeedabeddcabecbccdcdedabcecaacdaddbadbccccdecaadbdecbdbdebdbcdcacdbdbdbbdeaeaaabbabeaedbbcbdededdadbebcccbabcccdaeeedcbbcebdaaacccddcdacecbddedddbedceddbadbbccddaedcbbaceccdadccddbbaccceeecacccbdcecbadabbdababaebbaabddbddbdaececcdecccaeacabaecceabbdaabebddaccbaddcabebceeacecaacbcadbcaacdbccecdbdecedccaccbcecdebbbeacecbacecccaadddcaeccecceacaddcdbcaedceebddbbeccddcbcdecdccdceebedbacedcacdeaaeeadeeccbddaaaeebdbcacaeecbebbcdaecdacdbdbdccadeccaeecbdeebecbeadcdeabdcbeceebaebbabaabcecbbdcaaaecdcdecabcbbaceddbdaaaebccdaeedbaeddedaadeccbaebbebcdabdedbcacdeadaaeeccddbbbbcaceecbdecaddbdaddbcebaacddbeecdcacacbbebacdeeaeadbbdcebedebccbbcbbcbbcbdbcdcedcbeebaabbbdaadebedbeaeddbbabacdcccabdcdcedbeacaebedcbebcbdadadeceecbaecabceeaccbcddabaedbeccbeddbcacedbedcabbaabeccadddcaeabbeadcdcdebaabbacbdcebdaabbdcadcebcaeceadababdeebbdcdebcceaeebebbdeccdcacdeecbaedadddcdeadaedcdeedecbacdabbcadebcedbebddcebdaaaacbddacaadddbbbecabbdbabbedbbbebbbbedaaaceeacaeedabbadabeaebeadbcceebbdcbaccccdebdadcdcdedeeaabebbcdccaadeaecedddedaeaacabdbcceceadabbcdeeacdcdabedcaaecdbcccaadecbbdebabadabedcdedcceceddbcbcaeaeedcedaddeeeeedececedebedecbbeebbecdeabeadcbebeddeceadebdddebeeebcaadeccdaecedbbaaaaacaebcaabecabcaddcccbdaebdbeabeacebcacbbbecdadedbdeeebbbecbabceebaaaddcaedadcccbadaeebcbbdebbdacedebcacbaeaaabaedceaeccbeacebdcaccadcacdaeabdcbbdebccbaacddcbdbbadcbaecbabbadeaaceadbaeaecddadcceaaeebabbeebdabcbcacaddabcbebeeeaaeddeebbecbabbeedddebeaaaedacdcadcbaedebccddeeebceccaebaaeaaecebbabdbaabcbeecbbddbabbbceedeccaaabadbbcbdcbbbaccaeabeebcedddaaecaceeeeabcbedbbdbeddccdecbabeddadcdaedeadabeebcabbddebdbaabddcbcdacacdddbdbbcadcabecadbcaebeabdbccbaedaedabddecbebbbaadaadbcccedbeeeadadecccceaccadaaabedbedeccaabdcdbaaabccadbcbaadbbadabbabccbaacdabedebaaebbaadaccbbaeedacebdedbcadeedcededbddaeaabcbabddbabedaecededcccdedcdcccebaaaadccaeaaddeecdeabadabdcddedbcdceaaedecbeebddabebeccaaeeadbcbccebabdeeacceeaddaabeacdbbadccdcdbacbeaeaaeebebdbcadbababaacbdceedabebcddbbadaceebadeeedbcdbcaccbebcbecadabceeeeadeccaddeceeedddaadeddeadecaeaeddabaedbb
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaazabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaabaabab
dedbaeddaacabdabceeccdbbecdcdbaadaeccacadceaaeacaeacdacdccdacadddbbadcbeedbeedbcbcdbdbcbeddbceddcdabeadcbcdaccbcdbdabcecbcaacbdccbcbedddaeecdbacdaabadebcdeaebdaeaecaedccdbecdddaadedbbbacdcbccabccacbeccaaecebabcddbabbeccbdbeabadcaacbeddbdccabaddacabdbeebcacaaedaecbebabcacedbccbdecbeabdbdcccbaacecedcbdaddebcdaeceeecedaebbedceacedabeddaaaabeadeeaabcaebbceacbdcbcebeebecbbaecceaadabaecabbdbdbacbbaadeeadecaaabddcbaadeeacebebcdbabadbbdcbaddabecabdeceebebcbaacdbbabddebceaaaebadabdabbecbedccbdabeccdbbddcdcbdebadaaabadecabccaceceaaddeceddaacaaeacceebaeabaeedcaaebacebacdbccdacecbbeceaaeaaaacdcdacabcdeebecbccceddaeedabcdccedbdcadcdeaedcbadbbbbcbccabdbedeecbeaaeddcebbcbbcedccccdbccbcdacdacbacbbddabcbbaeacedaaccadbdcbebeecebacacbbbacbeebacbccdaaedceabdabeaaabeeaeabccaaddbdebedacbbccacbdeebeadaacedacaacceabcbbddbcdeacdacececddacedcdcbbadeaceaabecabaaeeceeccbbabccbabcbdddbbacbacdcdadbeacbcedcdeabccbcdecdddabbadeebeecdbabbddbdbabeeddebacddacbeeebebdacdcadaeebececdedadaebbdddbcadacaebbeecebdeeeeadabcaaebddadbbaadbabbccdabbbebecaaaeadcabeecbadedaeddbaebdbeecbabcccdddecceadbcabeadbbaeadbbbbbccddaecdedbcdccacdcebbdeeceaebababdaabecbceecceedabcabbbcddaebeceacdacacedebeaccaebceececadbcbadbdecaddabbbcbaaacbddcdaeaabebbebaaeacaaebccbacadedcecadebebbdddceabbdbbaeaabcaeabbedbcaebbecabececbbbccbcbddcebacbdcdeeaadaabecdeccbcbdededccbaabacabcceddeedcbbcdbbacbacacbbcdbddbbacccadaccccaacbccdbabbbbbaabdaebcdebdcebbbabadacabdeebbeaedbeaecaadbcddccdaeadddccbdebdabcbdbddeabbecdcbecceebcbadcdcadacdaedbbdecabdaddcdbdbeadabbcdecdcdbaabceabcedaabacebdcdacadebacabcaabedeacbacdcedccccedeeeceebbbabaeddbcadddadcabebcedeeccdecebaedaceadcadcecdcceaccedcbbeadabccaadddacbebcacdccebdcabdcdbeedbeecebeebecbcbdebeadddeeceaeedcecaddcbedddbeebecacdcababbeccbbdcacbebdaaebaebcccedecaddcedbcdedcbeecdbcebeaaebcbceebbeabbbbadcdeebeeacdccebbbbeddaadbbdeedceaeebaedcbadaddeaeaebddaaadecbcbbdeddddaaaaaddbbacedcbcebceaecaabcdccbceddbdbdcadcbeadeececcddaaccbaeeeadaecddeecdbaeaacdccaececbcebbccbeeaeabedbeebdedaccdbdcabacbcbbeabaaccddcededbecdaabedceabaebedbbbdbbdaeaccedccbccbddbcddcbbebeaaaabdbcddbdeaccccaedbedeebddbbcbebcaaebccddeccbbcaecaadadaeeecaeccbcaeaeeacecdbddadbeceecdcddbbcaebccbdeaecbceaadcbdcbbdaadeecbbdacadaeebbeabbabcabbadbceecccbadeeddceeeaecdacdcedadededadcedcbcbabeabeecebdebeaacecebcaceddacaeaadeeebcbdddcbddbcddcbbceccceebdcaadaebcccaccddccbaabddcbbedbdccbbddeabbbedcabbdcbbecaeddcccdecbbdbeecdedceadbeeaaddcecaccbccacbaaaeeddaacbbbdeacbbcedebaeabbdcdcadebddaeecadcebdcdcebcbaaacaacbadeedcccbcaccceeabcbaeadccaedbbdbdeeecbbabdedbaeacaebcaeacdcbabaaecededdadbaeacacbdbbbcbcaedcbeededcdeabdbeceaddbecdecaadeeebcedececbdaacdbbdbeebedcedcaccdedeacabbeeeadceceacdadeedebacbdadeacdcdcacecaadcaccadcbebcabdedeeeacddadebbbaecbbcacdeccaaddddbdeebceeadabcebdacbabdbecebeedeebbdbbcbedbbdecdcbdbeabcaeedddbdaecbdabcaacddbeebcddcacbdcccbeaadceddbaecaadddbbdccccbaedbeedcacccbadcbbbebdbadbaedebcaeaeabdbcbbedecbcaeadbadbbeaeaedaabbdcbbdcbecbacdadddbeedbbdbdadbbedebaabdacbabbbbeaaedc
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaababb
aebdeabbdeaeaaedceaeddebbeeacaddeaedcadcedceaceeabebebbdbeeecccdcebcaabaedcacbebdecbcdaedaeedbddcbeddcdeedadaacbdbceeddebbebbbceceaccbebdcadeaccebeaebeaacebbacdcccdbdbebebecaccddebbdccdecbedbeaadbceaebcedaabdbbeabebebcbedccbddceeacadedbadbcbeddeadeeadeeaacdabcccdaadcecebdebdadaeeecacecbaadabaecbdcabaeecdccbcbcdcaccceaadadcca
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaabaaaabaabb
bacecddacddeaabcdcacdccdadaaeecbbddbdeababecaeaeeedbbdadbaeccbddcacbcaebaebccbaedbddacaeecebbdedddebcbaaddaaedeeaaacdaadaeebadaaaabdeccbacbaddbccadcaeaedcebcacddcebcedbbcbedbcbeeebbceaddaeddebceaceeabbaeeaeecbabbebaedcabdcbddcbbeaeecedcbeababaaebaccdedeebbccdeaebacddbdaeedccaabaaacabdddddbdabeaabcbbccdaddbbdbdceedcccabdbeededdabbaabbcbeeacbdeaaeebeceacdcdddeaccccbbccadcecdaabecbadacadabcabeabebcbeeabceeeeedcbcdeedaceddcccaaebddcceabddacbccbecdccdeececcbabbadeeaceacdbdbadabcaadcadcebbbadbebeadbadaaaaedacccacdeddadbedcdabdacccababdaeeabeececdccabebdccbececcdcddbcadcbabbeecbccbdaaebbbacaecdbabedcbeeacebeccbbbdaedcdccedcecedaebadbacdbedaaebbeedbbeaccacadccbcdddeebadeeaedaeeeaaaaaedcabdedcebcadccdadadcdbcdbaaeebaebebedbababebccbabacdebececadddeeebbacbbccedacdcbbbbebdbebcbecdaaeedeabbcdeccecaadcebcbcacdcbbdcbbbcbbaaaeaacbedccaabadeddaaaababbedbceccaaedcbbedccdebbeadeaaedeccdecaeddbdbaeecbaedbdbcadbcdabbeeccadaceddaecedbddcdddccedcccbecdbeebabdebadaaecdbcbebeabcaebceeeceacbecaeeedbeeccbeecacebeaecabdbcdbbaedadbcbbabbdcbacabecedadebddeeeeeecbaddecebeaecebbedcceedceeaadacaeeccabaabadddadbeadbbdcaaaeecbcedbcddecabbcbbebdaacdcbccadaeaaaadcdbdcacccabcdbcebabcbeceeacbedaeededaeadebaebcbcddcbaddebeccbdccceaaecdccbeabdbaaddadeeddcaecdbcdeddebdeccccaaedcdebcdabcdbbaeeeeebeaadcdceddbbedbadaacbbebdeddcbebbddeabcdbbbaadcebaecacddebdbabeebbaeaecdabbaadaddccdbadeebcbcecddcbbbdcbcbcbdabdabbccbecebcbdeeebecdbddebceeecedcbcaddadbadeccebeaacebddddaeabacdbeeaecddcedbbcdeadeababbaddbbcabdcedeeeeaddaebdebdebddabecccdbdcbbbdadbebaaebabcbaccccaceabdcecaeedbceedcbeddeeaecaaadbeadebdabeccbacdbaaecddeaccdaebbddadadddcabbccdcdecdcaebcddbaceacebbeececdecbcdebeadebdebbddaabadedebeadaaeceaceedabbeebacdddbceeacacbaecbdbdbacecdeabdceebebabceedebacbbbebabedbacdcdbbcccadcedaabedcaedbddaaacabbeeabcceaaaaddbdbbbebbcdedbacdedcadaeccebddbeaebabdadbaeeaacbcceebedccdaeabbbbecdaecceaecdbdbedabaeecececeeccdbdbecdaceedddcbddbdbeadcceabaccbabdaddbdebebabdbcdcbadbeacceedebdeaccbaaeecbadecddadecdceeaccebebceebdddcbacddeeedbbcabcceebcdabebaebde
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
cdbedbdceeeaceaeedbdebedcceeeddeeeecbdacceabedbeaccdcbdcdeeeaebdebacbcccddcabbebcdedecddeaccabaebaaeddaedcdbbebdbacdbdddbddbcbccaacbecbdaccabaeaeecabdaceddbaeebeacdedcedaebedeeeacdecbaedbeeceedcddbcdaeaaeeececedbeabcaeebaceaddcecababdcbbdbdbcbbacddebccaebededeedcccdcddcceaaaaccaddcdadebbdaabacdcbcacbdadcdecadabceeedcdeecccebcdeabcbcbcacbbcabbbecddbeaddbdedebcbcaeebaaadeadbeadddedeacabcbadbebaaceededeaddbebddbdabbbebdacdcaadbbcdcdeeeacddebdabaaeeaaaabeababdbcaabdacaddcdecebeabbadebcbededaccdbecbaacbcdbcbbeaadedbdbdaccdedcbbddcbcbdddaceaacabcdedacbcdacbcaeeeebbdeedcccdabbcdbebccecccaedbdadecccaacbaaadbbccebdbacacbebadbaebdeabccadababbbbaabdeaababdebbaebbacdeabeabebcededbddbbebbecbabbbceeedcbdecdddcceaeeaaedcacdccbbaababcbdebbededbeedcdbdaeadbdbbbbbaeeaceedccdbceddbdddadcaecdabbeadddeabebaaadedbbacaaaccaaeddbacabcbabecbbcdbbacebaaeabbdaaebaeeedcdaaeeabdcaaeeddddcaedcedeeabbbbbeaeacbdecccbdbeccdbcbecbacdacdaabababcaaeeddcecbbadaadcbecabccbcbaeedbeaaceccdeebaebdecdebdabbedbcbcaeedaaabbdeabbdbeabeeeaacacbbaaddcbceaeaebdaaeeedeedadbbebdbecbeebbedebccccbdeabacdbceadcebbbceabaeadeebadcbdbbdccddaeccdaccaaabcbddaeeeacaedcbaaddcadadbadeabcdccdbbcbeaeebdeddcbebecbdeecaeeaadabcaeedbeacebcbebddcbcddddbaddaedbeaaededeecaceebdddaabdaeedbeabcccbeebabebdcbacaebedcebeaeeabadddcccedebbcabddbeeeaacbddeebdaceadcecbcaaeaaebcbeadeabedcbbbcaaeebeebbabedcdabccceaaaedeebdccdbaeaaebdeadbacebbdedcabbbbabcedddeeebeabddceaaaaccadacccacbdccbacedeccdbdbecdaaadbccabdcbbabeededebebabebcddecabceeaecbcbbbabdacbceaeceddcccbbbbeddedeedbccccccabccccedceaccaacaedebabddbaddacdddcdededbebecdcccbaebdaadbbebaecaabecaaddddbeaaadecaececacadccecdbdcddebbeddcecccebedaaedaccbeeadacbddeaeccddccecceedbaaaccdcddcdccddeddcecdcadcccdeabcccbdbceeeacabacdeacdcdaebeddcacbbebcdbaeccdcebedcbedeeedddacaaabdeeeddaeedeebddadcecebebddddabdaeaceddaebbcdbceeadedeccbdaddeceeeeebadbddaabdbabeadbdabdebeaedaceaeebdecdceaecbeccbccaadbddcddbcbcabadecbcdbbedcbcbeebecbdbcceadeadecedaaabcdaeeababbdabeabdbadedcdaebbeaaebedbdeacadeaaecebdaaaabbaadeebcaddbdacebbeaedceacecbebddedeaeaccbdabcaebebaaeadedaadbdceaacadbcedbceadcdaccaaadabbacabdbcebbdcdbabeeddbeecaaaabeccbdbcbddaeebbddeddbceaabbcaeccaadeecceeebceccccaceebcccbadccebbbcbdbaacbaceaaccaabddcccaaaddebaadebeabdbbbddedbcdcadeccecdbcaabcdacdddcebdbbdeabacdeacecebcdceaccaebecbccdceddbecbdeabebeeaedbabdbedcacdadcedcaabccacecadacabdddedbeaacccdaceadddaadebbcebedcbcababbaeabcdbecdabdabeddaabeccbbbbaccbbaaddadaabbcabadaaadcdeeadabaaecaceddddcabeebcbbbcaeacacaaaacceaceacbcedadcbcbaeacabaedcbcdcdabebbadaddebbeeddddcdadcedbacbdabbccdbecaaeabcccbacaebdbbeecedccdcddcebededccbeaacacbecbcbecccacbdadbabbeacbdcbdeaeeabcbeceacaeeddabaccbddaaacbbcaaedbbeeecbeeededbbcbedbcaeebbbacadbecedbaebabacbbcccdbcdaadeebebcaebabcadbedccaabbcdacbaeecaadebeecacddccdbdecbcaaeaeeaaaddbadedbdcedacababaccabcababcbccedacdbdcbadedbdacbdbcecaecdccabdaedbebeabebdedebbcdaabccaddababbddbdbcaeeeeeddaaedaaddaddbdddbcbdadcaecdebdeeabeaeadcaddbeecdbccaaaddacadbadcbaaccccabcecddbaddbcdabeeaeaddadbaebddcccbeeacdeabecbbdddbdadaaceabbedbcedebabdaceddbaebbbeeeaaceedeccadbcbbecedbcddeebbbeccdbceceaaddaededbdebdaeeaeeebdbdbaabeabeedcdccabbcdbecccdceccdcadecdeabcccddebaebccaaadaedacabecbbdbbbebeddbdeedeedadeeaddeddaeebdedbcaecedcacabbebbbcdceccddbccbeeeeebbdeaceeeacbceaeedcdadddcccbbedeeeaabdddcbabeccadceecbbdaecdeddbeeeecebebadcbcccdaaddebeeeadbbccbbdebdcaecccdedeccabddadebbedadaccecdeaacbcdebdebadaaacdbedaaacabaeeddedceecdcdbbcdbdccbaddeaedcebabbebebbebaddebbcaacaddceabbdaddecabdcdbadaeebdeeeedcedcdedcdeeadcbdbddadabbaaeecbbeecccbbeeecdbccebddeedddceebcdcedabaadaecceebbdbdabeacbbbddbdecebdcdacdeedaeaabbbeabebaeaaedaebccedabdddedcdbcecdaeceeddacdcabacedaabdcedbccacabcbabbeddbcbededdcecbecdacdeddacbedcbcecdcbccbbadcdabcbadddcbedadcbdbacecdddbcbdbaeacceebdddacbbbeccbdabceacacbaddacbccedabceaaccbcbdedcadaedeaadbdaeeedbcadddabdaaaeacdabdcdeeeeabeecbebcadecaecbaceadbedabddaecdedcdddbdcbbaadedcbdddbdbbedcbcbeceeacedccedeededcbedcddbbebdbabaabdbeaeaaaeaddecaaedadeeacdcbdaaccbabddadbaeaacecdedbdeeaecadcebccdbbbecadedbbbaddebaccbaadedbdccccdeadedadaaeaacecaeecaccedbdbdeebbacecabdbabedbabcddbaabdcbdcbcccadbabaececacbdbcaeacdcdccceadbdeededdbacbccbbebecddcdacadbcededebdbabadbeaeacadedbbabcbcadbdcbccceedbadcddadeccebdaacdbcaceadedbdadcaddaebeacddedaeabebcabeaddadecbcbcadbaeedaabcbadeabeebbdadeccdcdddedeceeceaacddceddeaacaebcadccbadecedaebcdceeaeaebddcabcccadaaacdcddaeecdebceceadcccdceaabaaebbaddcbaacdabadeaacaceedabddaccabbacbdaaeecabcbaaabeaccaacbaccadcbcdcebaedcaedbbdaeababcbaedddadabaeedbecebbbedadebebadaebbbdddcbcababaedaededabcbaaebbdccaeebaddbccdadbabcdaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
cebeebcdabaaeadcbedbbdedebeabadadbddcdbcdabcabbedccddeabcdbaededbcecdbecacbcaeccdbcbcdebccedbcaaababbcdeeacebdcceddbeaebaddcaabccabeaeebcbacebdddaedbeadbbccccaebceddbcbddbdaeeedbabecdeecdbbecbbcdedecbababbcdebdbcbdaddddceeacaaedaebaeebedaeebbeceeacebbcbceabbcbdecaecadedccabcadacaadcbebdcbaeccdeaabebecdbaadeeebbbcaceacbabdbccbcbcddebdeaabddceccdadaccbedbdbeeeadeabeeecdbcbedbeceedcddccdedbddeeedabdabdadadbbcdacaeacddaebceabbccbdbeabceccbcdaaeedcdeacadcccaadecdaaecedebdcedcabcaacbceecdbbdbdacdadabadaabcebbeeeddabadebcdccddbcaeeebdbcbdddeacdcbabeaddaaceabcbeecbceebeebaceeeadcacbbcdaaacbcbbdecdceceadecccacebbdebbecacaedecbaeecdadbebeabbccbcebdbcadcebdaaaaaeddbbeeebcebbbdcaacbebdccacadeaddeeaacdbeabdaacdbcbbadcdeaaccccceaaaeebecacaeecaaedccacaaeeadeaccddbeaebdbcaccececbacdaacdbdaedabaeccebaadebdceaaabaebcaeaaccceebababddccbceaddcaadccebdccdabbdbeeeebbbaebceeddadaecbeaacabdbcddcbddeddddbbbedcddcecccceadebddabaaadecbceaabacdeeccadcdeaceedbceadccaadbbcabadebceaececbbbddedaeceabdcdbbdecbcaacdbacdcdceacdbdecadbbcdbbcaaedcdcbadbbadcecccdebaccbaddceeeeacbeadabeaceabcdbaacacbdacedebeeecbcbdaaaecbadcdddcbbbabebebaebedeaaeecdaeeaabceacbabddeacbedbbcddacabedebeddceaecceebbdecbdeadddbccedabcecaebbeaabceddcbeebedddbbaacbebadecebadecdcdcdeddabcebadcceaebbabcbecbbebdbedabdaacdadeddcdecabaaeeaddebeecdbcedecaedeedabcbbceaedcbacebdeaaebdbddbbeecaaadaeacdadadcbbddeabbdedecaeaeabcbedcedaebaaecdecbbbccdbebaddddbbcaecaebeabdbecababadadcedacadcbaaebcbadeeedacecdbddebdccabadeabdabbcdecdbdbbebbceacabcbadebaccaeacadacdcdebdbcdeebceeeeddeecadeadcaedcacebecedabeeeeaabdccaecabeddabccedaabaecacceaebdacccadccebdecdebdcbacadbaaccdddedcdedddaaedeecacebddbbaedecbaeadbeacbeededabaecbbbbdccdbeadedbbbadcbdadbaeebabacdabccadaedbaddbceaccaedcbebcceeaceacebddebadcddadbedbeceddcddedabdeaeeecbdccecddbcaccbeadadcbccbecdbaedaddeeeedccaddddeadddadeeadeabcbeedbdeddabedabdccbbbcdbadccadbebdabdbedabeadcdbddacedaeccebedccdaaeaaaeabbbeeedceeaebadceddabaacdbaedabeebccdbabaacceedadbcadebcdcbbdedabccadaeeccbddcebebaebecebaaebebdaebdaaaaccbecdcbebdbbceaeaabaeaaacdaaaeeeaabdbacebbcbeeaabeacebbdbaabbadbebcebbdacaaaaeaedceddbaeddebaecaccdeedadadbaaadacdebadbcdecdbaeceedeaaaddebadbdbcedaacdeeeaceecdaebdbaaeaaecebdddcdeacdabaddaaaeadccecabbcecdeadededceeacceebdbdbceaeceaadcaedcbcbecdadaceadedaaaddaaddacceaccdcacbdadacaaabbccabdceccbeccaddcccebaadaacbeedbcedabdacecaabcedbcaacdadcdcccaacedddadedbcebadeddcdaaaeaeeeecabbabebaeabdabeebcccaecdaddaedddaaaeeacaeaabeeabbdadadadbcdececabbeededcdaadedeadeabdaaecdcddbcbbdabdeebcaeaaaedeaaeeeebbddcaeaaabdacdabbdabebdcbaaecccbdeaaccaadebcaeddbcedbdcebddcbbadabdeadadddebcedadbbbaedccccbebbaecdaceceaebccdccabadabaddcaeeedbdeaeedcddacccddcbecceadcabdacdedddcecacadbabbabdacaaedbbaddaaadacebeecdbcbeabdcbadccaceecaeedaaceccecaabacdaaeecdcdbbdaeedccdadbbaeebcedeadaebacebaeacaddebbcdaaaddcaddbdecddbeacaaebeababedcadbeacccceecebdcddaccaadcdedcbdddebdebecebadaaaaebaedeeeebbdaddcbeebbeadbabcddeecadacbaabceeddedccadbcbcbeaeeeddaedebabbedeabeabcdbacacceceaddacbddadeeaebaebedecababdccebdeccbaabdbbacdeaeabccabbcbdcebcdadadcbcbeddeeadbceaebaecdcdedacbdbceacdcaaaeddecaceeddadbcaaecccdcbaecadbaceebdeacbaacadeabcdeebcbacbeeebccbbacacedaaaeeaeaeeebdecddebacbbcacbaddbbeabcabceeacebbeeabdaaeaeddceebecaeccbceeaccbadddaaecbebceaaabbdbbdecebcadadedcbaaddcbeccccbaedeebdeabbcaaaccccdcdcacacecbbedceddddedcdccbeaacbdebdccabceecbaababebdecdbedcdbececaedaecbbceeadeebddcbbeabeddaaceaddecabecceacadbbbaedebabebbbacddecbcccbbbedecbdabeaabcbdbeacbdcbbabcbbebadaaadaadaddbedaaaaabadbdaabdbeacebaeeecdacecebacbacebecbbbebbbeecebdabcbdabedebbacdadeeaacbabaccdcabbacecdcdbdabebebabaaaadadbcbcccaebbacabaeccbcaeacbdebbeaedcecaceeaacdacdddaabdbcbaeaabbddbbacecbbeebcccaacdabaebebdccedbcdbebdbcacdbeeebdccddbadcbdabddacbcacdcadacbdacddcdedceceeebbccedcedbacbebeaabcbacaceccdaadadaaceaababbbbceaecaebceabbeeeebeeebcccbbdbdeabeddaaedcaaceccdcadccbccadbaaabaadedcbabdcaedbbceebadaabadaaceeebabbbaaedcaacedbaedbeabcabbaaebcadddcdabdacecdcbccaadbbedcdeeaeeedceabebcdbabbdaccbabaeddbdbdeeecbdcccdbbbceeeabdccbedabeecbbeeabddccacbddcddecedceecbeeceeececebaaabaceccdbeeacaaecaeaaedecdadbabbdedaadcbbdcdaadadabeddaabcdaaeeeebebebbaecacdccbedabdcdcbbdaecaeaddeecbdeebdeaabbaeeedeedddacabebbdddcdcdcbcdeacdbedcebeeecccdcbcccadeccbdddeeecaababdbdbdedcbeaeadadaeeeecdbbdeceadcbcbddaacabbbbedaceceacddacccaeceabceacdaebeeabdceaebaadebbceeadecdebbccbedaedadadcbaddeccecdebbabcecabcaebaccdcccbcbececcebdacecdaedbebbebcecbbebebdeedbabaddadccacaaaebabadaccbeabbdbcacabadabaadadecbaabcebebeaecbbcddaeebbdeaadbcdeeecbeceaacaaaddcacbadbebcebadcaddbdebbedcdbeaddcaaacbcbcdedddadeedbcaddddbadcecdbeccedebbedaaacbbabbeccadbdcbadeabaddbcecaccbadbbbbbeecbdcbdadeecdceaddaeaeacebeeeecebaeeaecaceecacabcbdccadbbcaedbbabeebacdbdaeccaabcdbcaeccaccadbeebddcbecbdddaecebbaddaedaeacaaadddbcdcececebeaeeeedabbadbbaadcbbbedbbceadacbbdccaebbbaccddaeebddaedddccbedcbaaaccecddeaaadcadaebadaeedadeaeabcadedeaaeaeaaaddecccaddbebbbbeaddcacbabbddcdcceacdeaabccdaacaeaedcabbcadbbbcbbbddabeeceacbbdebaecebacdeaadbabaaddedbebecebbceaecabecabbbcbceeadc
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaabaabb
ebeeadbeadcedbebcdaaecebadcaabdbeecdaaecdbdaabbcccbdabaeaeaddecedbddeceeaecbbbdedbeccbddcccaecacedadeeccaceeededbedeebdddcdeacbcdaadcdddeadacedebededecddbbdbebdbeccadbdbdbbbeeebdacbecebedceedccccbbaebaaaddcbadabbaeeddceeeedaeaeebecbdcaecdbebadbbcebbeccccdedddbeecebdbecedcacacdeabaabecbaadeedcababdbeeaadeeecdeacdbebdeebebcecdabdeeecbaacaaebdadadbbdabcacbbbecedbbccdbdbedeecacadbabdacbebdbacbcbcceeecabcaabdddedbcbccddaaaadacbdabbedeabebbabcdecadbdaecdbddeececebdbaacacccecddceaebbcecbdebacabaabcccdacdaadaeeadbacbcbcdaaacccebedbedaeaeeddcadeaebaacbcadaacbbcbddecbddeaddcdeaecbdceddeaccebdacdaeeaceebcbecadbaddeeadbeecabcacbbedaceabbaebdcbedddbaedadcdebcdddccdecdcaeebbdadaaacacddebcdbaecaabbcdeaeecccccbcabeacedccddcceeacbbedcacacaecabbbcdeacdbacbbbddacdcdeaacbaeadbcbcbdebcedeecaccbdcbdaeccadcbdaeeaeacceeebdbccdcccdaeececbbcbdccbaaeacddebcbaeeddcacdccadbecbdeaaabbdaedcdcbcaaacbbbadedbcebaaabadcdbbeaebaccdadebdebcecacdcaaaeccbbcaadecbbeeaaceedecbeebaeacadcdddadaabeeebaabdedbaddaaabcbaeabbceacaddbceceaeabbebaeeebbdabccbdbdbeaeedbbaaaaddcaeebcbdddbaedcabcdccbceecabbbddeeeedaaebeadeabcbddbbcabdceaededebaeccbadaeadbdeabbbbedaccddaaebeccdcabddcdeecebdceeceaaebccdbbbdbdcbbaebeaddbbdabcdbcadddccbbececceecdacadbbbaeeeeaddaeebaaaaeedadcbedaabcddceeeeeccdeadebdadcabcaccdbdacddeeabbedebdbcecddcbabadcbeaaeecdacacbcaabecdbbeceaaecccbeeecdbeebaaddaeaabecdcddeddcbedebadadebecaeaebceaebceedecabcbdeeeeeacdcbdebeecdcbbdddaeebdbcbbbcecaacacddddcbcbcedbccdeebcbbeccbcddbaecbceecabaaacbaaabeaededabdeccaaabbbcbbedcebcbccbacdcbaaebbbebdbaaebdcebcceaaddcccdeacdbedabbcacaabbbcbecbcbcecacdbadddaebeecbdeddeeceaeaeebbcdcdbaabddbacbddadcdbebdaacbcdaccccaabbedaeaaadccaadaaebbdcadacaacecacbabcbdeeeaddbabcbacedcabeceabbadaebbdeaadaccdbaabddbccccbaadbccbeabcdceceeaebacbebebddabeebdadbadaadcecbbeabdbdbebddeceeabdeaadddcabbadeacecabbabaccacdbccbdccdddbbbdbaceaeeceaadbcededcdcecccadddeaeacebcbdedededcadaadcaedbdabbaeebebbcbbaabbcecbdcdeeeccaeaadbebcceeaecbebcadaebebecdbecbcaddddddbdddbbdcaadbbaecbbddcbcbdccbdbacadeaaeecdddddbaeebccdbeddacbaeeadeacebacceccccbadaddaebcabbdaecadeeaeabdebcdeecbdedcdcbadeddcdadcddbcddccbcecbedeebcceccbbbcecdeebbccacedbcaeaebcaccecdbaababeedecddebbbadcbeddbbdedbdedbacbeaedbcdeaccbdcccadecccdaeacadaaeeabddaacaeddcdedebdbaecdabbbacbcdbccbdbcddaaeaceeaecddbcdbbdbabacebecddbabbcbddaebeceeeceadddceabcbadbcedceddbbcaedadecccabcedebdebeecbcbbbbdceedeedcaeeeabcdbaaaecebaedeabdceadbbcdbdacaebcadbcdaecadcaedeccadbddacdccdeeeacbbacdeecbdbccadbceaaabcbcadebaaaecbaadaadebcbdeeaaecedbbbcadabbebccabbdaeabecbbbedbdbadbbcdbbcebadcbeebdadcadcbbbeaebbedbbadbbbbceabdddaeababbdbccdacdbeddedccaaaecadacabecacbbdadbaeaadadbcaeaaacdaaceacebaceeecdbedcaeeaaaabeddbdcbdcacabdceedaebdcbebeabaececccebdaddecbddcbebaadeebadbecaaebabebdeecdddadbcbbabacdbbcdbaabccdddeecbedaaabdabcbdacecadcaedaedbedddabacdecedccceadacaebdaceeebdadacdcedbbccddccceebedeedabebbbadabebddebaddeccccbbbbcecdaacbcedabdbcaddabdcedecaedbaeeebdeddbeccaadecbabddbcedcbedddaadbacdebdcbcccebeadddbeaecdeccbeedbbdadeedaebbcdcabceeddcccaaabeacbceeeebeebbcbcbadcdbbabcdebacecadacbecbbdbeaabbbadaabcebbbbcccaeaccbbeadbcaccddeacabdeedeebcddabaebcbedbbdaebadcabeabadbcccbeeaaeebadeaccaeaeaecbceadacbbbbbdbdcddcebedbbcaedcaebdddcbccabdceeeccaeacccbdbdedbdebdaacdbeaedeeeadecccdbebceadaecdbddabeccabbabdaadcbdebcbaeebacaeaaebbdaceebbecbabbabdbbccbbabeebdabbbdeaccabadcbeecaebeabebcdeeadccadaeecbcdcdeadaececdcebdadbeedcecdaeadbbbccdaadeaaebeaeaeceeaadaebdeedbbdcedabcacebecedbbccaecdecbebdadaebedecbcdbdbcbadadbccadccedbcddbbcdaadcbdeeeeabdddacecddddbebcaeddadcceedcaebadaabcdbebacbeedbcceadacceecbcaaaeaadebeeceadcbebdcbedabcbaaabcccbaadabcdcdcdcddebeaecdaececbeedceeeaacdccbaddbddaaddddbccecbbddaababbabbdabdaedbebbceecadccdaccaaeebacccddeeadbbbecdacabdebdcaeadbceeabcbcbbadbededaeeadaebabcdbdbcaaaeaedbbbebcadedbeaabdaddbadaacbbddbaebaeaeeabecababbacbebcdaabbcbbedbeacecbdccdbbccadbecbbbcdcaaaedddbdaacbdbbaeaaabeebaeadaacbbccdcdbddcddbbdedcbbbdddbcacecebebbdadadbedcbacdaddabcdedeedbbebdeaaaceccbcabecdabdebeabddcaacaecbedbadccdabddeccedbaccddcdebaedcebacdeeaccacdcdeeecaecdabcaeabdbdbddebeaadcdceedbbddeadcccdeaddcdbadebecbcbdcdacecacacbddeebceadaebedeaeeabcddebbcdabedeaeeaebdadebdcdaecbeceeeaeeddcbdcdcebeabceaecdabbddbbdeccccecbccdaacbbbbddebbeccdaaebdebbbbabaaaedccabcdecebdaeccbedddabacabdbeedeebbacdbebdcacecbbdcbbecbeccdcedaebebccdbceebaddbbaedcbbcedbebdadcecececbcbecbbdcdeeeaeadaaeebcccdbadcaaadaaaddbcdbadcaaccabdcecbdeaacccbbbcbcedebceacababbdbecdcdeaabedaeeccaeadbcaeabebaacaeabccebcbbddeddedabeadddedaddcaedebaaebbeeaeaebeacccdacbdbadeddeeadaedcbbccbcdedaddcabeeddcabdbecdebaebeabeecebcbbbaedceaaaeacdceeeedabaaecceeddcdeadeeaacacbaeccaaceabbceacbdaddedbcbeedccebbdaeaaaccecbeaecebbacbebcbbbebeacbdecccccacecdcbbedebbcbddaadacbdedceacadcbbcadceadcdcdbeeacecdaeaaccdbbddeaacdaddaacbdebbcbaacbeadccdabebaceacadedbdddbbdcaaadeedebbbebcaacdcdacabddbbddcececcaadddbceedeaceeebcecddcbbbcdaccdacebacbdbbcdbcdcdeacbeeeaaecadaccdbeedbbeabebcbaebecabeaeeddbdadadcdbaacbdaacedaaededaeabdcabecceddccebbeceecbccdebecdaabebdeedccecbce
aaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaabaaaabaabb
aeebcaaeccededcbdeacddaedbdaceadecaedbeecdcddbdcdecededcbccadddedbabbcbcaabbcdeadbddbeccaccaebacdabbcdaaeaddeedcacebaaeedaecccaadcedbbcbbabadaeaeeeccbaabadbbecbcedbddbbaddaaeeadcbbdeddcbbdeecbbdcbaeaaacdbebedccdbdecdbdeeecaadebcecddbabdcaecadcceaaceeccdbcddabccdeceabadabcdecacaeadcccdceebcedbeeaacdecaacebdbdbededbdebbbeccdbaddebabdedecebdbbbeedeeaccacbbeeaeeeeecdeadbcebeebcbcdbadabeebabddebeebdbbceeeeeebabdcbebdeacdbcbbaceebbcedadedebdadaacbaeeeeaebaacdadaebeadcacdadbbabaadddaeddececcdabebbeeedaebbcdbcdeecdaabcbdbebaeedcabdeeabdcecdedbdbbbdabeccacdacacdedebbcbadabcceaadbedbabadedeadabcdbdcdbbacebcaeeaddddabacacccececddeaaecedabcebdbcbabecddbcdeddbcdeabcdbddbbdedccbacdaecccbcbbaccacdecebabeecbcadeaaaecbcbedabbeabaeacbcbcdddbddddabaddeeccbacbccdaceacdebebbddbabebceaccebdebeaabbeeeeadaeedcabdbcaebaabacdecbedbeebcaeadadeceeabdccdccabeaaaaedaeceebabcadecabeedcbeaaaebddaeaadcdbbeaacebdacebbeddeddcbbaeddeedddbdbcabbabcccbdcedbeddcedbadaeeadbacacaeccbbacabcecebadebaeabeaecdebddacedecbddbeccabeacdbccbbabaaeeddbebebccdabbbcdbacddcebcbedeeceaccbcabbdeddbeebbbeaedcdedaecdccccadbadccabdbcabccbbdeeeceacbeeabeeeacdabdedcedecaddabbeedaacbbcdbaabeaedbddbebcadcddcebddebabddeabcdeceaeabebdbaccabebbcdebaecbbcacdddcedcadeabeccabccdacaeccebbbaabdeeaadbbbcaaccaceeecdccccdbebebacbaeebdcbcaabadcebbcccdcdbdeacbbdabddcabdbeacddacacaecceeceabccaedcabbecabaaaadbeeadcaeaceadeeedbccdedabbeabeabccdaccadecbadcdacabedbcaceaadcbdeabedababaaddbabbeecddaeeaacadeebbcdacbeccbdabcedbbaccccccdabdebbbcacdbaeaeeceacdedaaaacabedebebbbbaaaecedcccdaddecdecbeedeadcadcabdbcdbdcecbacceabbbcbddeadcecebbbbcbadbcbbeabbaceabbacaabcceeaedcececcbcdeeebbeaccaddddbaccbbbadceaaadeecedaedebeddadcddbbceabdabeacaaebbadeaddecbdcbbeaabcddacbacdabcabaedaccebeabbeeaabbeedcccbacbbcdccadaaebcdcedceadadbbeeeebedcabacadebbaeeededeabcddeecddebaebeaaecdecaebcceeedaebbdddbcbbaebbdbabcbaabbbcbccccdccbccabadbaeabddadccabaedbbddcaaabcdbccbeebdaedabeabbbadaaaabaceecceadbdbccbcccaebdeeaaebebadceedcdaacbbadccdcaebdcabeaaccccccabbecbcdcacbddebaceebecebbcbeeadcceebcbddcecaaebceddedecbacdedacbddbcaebdabb
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaabaabab
dcbacbbbbddacbbbaebcbacdbeaeddddbeaedeccecebedaacbaeaebeeddcddcdaaedacbeaaaebdbedbcaccadbeacddddedaaaeedacebadbedeeaebabdedededdbcccaebbaddeccbccdeadcabbaadacadbacecadcaaabaeeddaaaceacdddbdcecebebabdbeccedcdbccebeebeeececceebdaedbeacdabbebdbcecabbbeaeedbebcdededddacbbaeeebababeddcaedbbdeeacedbadeccceabbccceddbddacbabdecbbabaeccceaaabeecbacabbebadbeddcebacecdeeaedacecddcbbcaddeacdbeaacecacbdcbacbcbccccaccadcacbeaeaaedebbacddadbbbcedacecaabcdaeedbecbaaeacebecbedbdedbecadaebdeabbdecadabcdcdbbdcabeecbdebaededdbcddcabdcbeecddbbbaedaaedeecbaeeedecbdcadaaedbbebacaeabeaacbeddcbedcebeadbedabaebabdacaabdcbbdacbdeedacecdacbbdacdacaaabadbdabeeedadbbceacbecabeeaccdcecddebbbdeabdadebecbcbadacdbaadceaecbceaacdeaaecdceebcddcbdabeaabedaadecedaacebacbcecdaebddebcbadbcdaecebbcbdacbbacbedbeacebeaeeadeededdebdbaceaeadaecacbdbcedcdbdeadbebeccdcaecaebaaeececcbabbdeacacebebcaddbcbcacbdbeededdcdbebcdeeebebeecadabcecedabbebbceeeeabbebdaaccbcbeddbaedcdddeaadaaebaecbeaeceeecdeaaaabaeccecbaeeaeecaedbbadbedacdabaadaeeadeedddeccedcacddaddddececcdecebaebbeddcdcccdcedbdeedebcddabaacebcddebcdecceeddccadebebadbceaabdccaaaeddbbccceadccabacecdedadeeabcacdacbaedcbbaeadcccacbeadadeebbcdcdadeaeccceaaeddecdddadecbcbcaeeaecadeecdaaecdeeedcbedacbbcbbadcdbdbeecebcaabbeadedeeeadbdaadcedcdadcbaddeacbdbadedacaddaaadbeddddcdedccbdbacecbeedbbceacabcdbabdcabbbcedaacdacbebbdcecedbaeccdccddabdcdaaeebaeaecccbcdbcccddeeadaddedebdcbbceceaebaabbabcadadabcbaceccaedbbccdbdacbceddcdeebaccdbebeeaabaccbacccdeecdababaecadcbdacabccdeecbcddcaeabddaaaaeeadedbccbcebebaeeeeaecbaebcccbeccbceaccaddcabccceebcadbdcdcbebdcabededebeaecdcccccdccdddccdaaaaaccccdccbeccaedadeccbbedabbeeccddbbbeadcaacccddbecbcbaebdbccecbebbcccaeeedadbaeabbeaaeceebecaacecbcdecbbcbadeaebbaacbbccabcabcaabecdaaeaeebadeadcbacaecdeaeddcedaabaabacdbedececbeeaebcdddcdccbaddebabbdccceedeabbceacacbeeeccaddedcceaebbdeadbaaadddbdddedcceccebcbadbcabeecaebceaebcdebedcccbceccdabbdcdabbebdeecedacdeaddeddebcccbdccacaeaedccaccbeabbeaedaeeddcabdadbdcaddacdedaaeeedcaaddedcaedbceaecececaaeaccaecbdebabbddcbaacbabedecadddedaeaabbddcbddbbdcbbebdcbecddbeddccedeeebdcedaebcbdeebbcabebbbcbbedcabebedbcbeebdcebadbbabeecbcdbabaedbbecadaececddebdeccaadaeaaeaaeebabaaacaacbcaecabacdcccabcbebbceecdbbcdabbcadacdabaaecbcabcdcdadeacadebeccadcecebecaedbaacbdebbcccebebeeeddcdddbbabbbebddcababbdbeedaebadabeaeadddaccddedebbbeeecabbeabbebcdcbdecbabdeaeddedbecbddeadedbeabbbbcbdceadbbeabeabecdddabecbbeadbbcddaadbababadcddcdbeeacaabaacdddbbaabbaaeabdaeeadedbcceeddebeebacddecdddeddeaeaedebdbcebbdbdaabbccacdadbeedabdebdabbadcbceaedcbdadeeebbcecbacdeccdbeaaaacdcbcdcddbddebeaacaaecceaadcdbedbeccabacceddaeebdaedaaaadbbaacbcbbbdcaeeebebebdecddeadabcdeabebdbdbcecdceebdeeaedcecacabdcebacebccdcccdebbbabaddabeaeaceaacaddbbcbaddbeecdeaccbeaddbaccddecdeeedbbccaddbacacdceccbdbadeebeabaebebbcdbbbebddcdacaaecdaedadcddebabbbaebdecbabaebbaeecbbeadddceaaebaeecececdbbceebddcbbdbedaaadeeaecacbdcbdaebeaadcbbbcdbbdeddecebadacbcdbacdbebccccebaaedacabbabaebeeedddeebbaebceccbbbeccbadebccddbedaaccedacadecaeacabaebadaaccbabcbabdcbbeedbceabebbeadddbecdbddcadbbadceaeccabedeadeacbedcbeaedebedcbebddbcacedcbdcebebaddbdecaeceeadebdeabbacdcdeddccedcbdbcccebbabcbcecccdebabdecddddaebebcececdbdcbecbccbdeaccdbabccecdceeeedbdcabbbeadbacbbdeedecceebbbdadbeaacbdeccebbbaadaddacaeaeaacbebacceceaedebcecddecebcdebacedadecabcddaadccddeddceacaadcececdabdddbeecbdcdceaeabdacddbabcdedeadbedeeeaccabcadeeeacadcbabbbcdddbaadaeccbedcccaeacadedccadcdeacddbdececbecbdadaadbadabbbbcbbdeecdcdebcdbbddebaaceeeaadbddbabababecdbccebcaecaccdbaaddecbbbeaecdedbdcbedaddaeaaebceecaceaebdaebbacdedcdaaeaecddaeebcddbbbdbddddcebbbdbbecbcdacdbacdcdabeacaeaaaacadeecabedaaddcedbcbbbeaabeecbadaaddeebbcedabbadaccecdcbccbdebebacdbaedddbedbceeaedabdbbbecabbbbdddeceedacbedabcbcebecaeacebadcccbdddeabbcbbdebabadccdbbbceeabddbaaedaebaceeeecddcbaeebcecbdebeadaeddebdcbbbbcabdaeddbdadabbaadeaedeaddcddeebbdabdceaccccdbecaddecdcadacebeeadacebbcdcddbaabceeddddddddbcbbbbabeebabbcddcbeddceabbbebdacaabbcabadccddaebbacedddbeababccccecadecccbbaeaaababdadcecadeeeadebeecbaddebebadcdbddddeddceedccbbcacbacacbbcbeaacddaabbdeceacbcedceeeeaadabddcacabaedbaccecaaeeccaddccddbddabbbdecadeaabbaeedadbcdadcdaacddddaceebbdbeabccdacbecddeadaebdcbdcccdcdeaacabebaaadcbecedecaecccdcaecaadbcdebddedcdacbbbacdadddccbeceeacddcbedaccbeeebbeddbbecabbcddcdbedbaecceaceebdddadcaaecdccdebcdecdcecedccdaaaecbbbecbcaaecaacdccdcbbeeddabbabbabbabbcdcadcdbebeddbdccedddbabbacebdabbcebcaaadcacaedcdebbcddabcebedecabdddecbdceabaddedbdbcbaaecbdceeceeacebdecdcdaacdeeacdeabeedbcbebeabbecdedcdadececcbbbdcedeaebacdcdaecaacecbdbbbbbcacedadbbcdcebcbbcdebaceaedadaabcaceecbcbcbebebdbdaaaabecaaeecababbcddacdacadaeeaecbadcbedbecdcaeeacabeddecadbddecaacbecacccbebedccdcaabedbedcbbbbcbaabeecebdddebcbaddbacdbbdbaecdcacabaecbaebedcdbebaaaeacdcdeebdaadbdacdbadeadeeadddbeaaeeccbccccbcadedabcaaeebcbbacaaacacdceacdecbdbbbbeeeeaeddddbcdcddbcdbbaccccaecdedcccbecaddededdbbbadcbdebcedcecbbbaadebbcdceddcadcddcceacddceebebedcbdeaabdecdacdedeabcbcdccaacbceedacacdabcbbbdbbbbdaacaaabaeedcbaeeddeccedcbd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
abcebccbddaecaeeddccbdaceaecedddacbaaecdacbcdcbbebedebbaeeeccacbeeaaecdebbebbbabcecdbabecdeccabcdccececeedebdbaaecabcccbccceedbccbbdaadbcbaaaebeadabbcdddcaaceecdccbbccbbacddabedddaeccaabdcbbceadeebdeccaabaaadcceacddddbdebeebbceeebbcabeeedbabebabdedccebdcddeeeeebdccdedaeedecdaaeecaebbccebbdaecdedaaecacedbaebddcaadaeeecacddcdaecaeadbedceccaaaeaacaecdddcbccdbbbaddadddccbabeccbcbcaabbeebdbcbebccadabdeaaecbdcbbdeecbacabcbebadcbdbcedcddebdcdaedcbeeeedadedddbcecdaecdabdacadcebbcbedbeaeadaacbeaebebbcbcdcecacccccdcdeebccadccbdaadacdebbadddaeabbcbbaacdeededcdaceaaeeeeebccbacbeedcccaaeecaebcaaaacedcdabcaccdbddddcbdeeccbeeeebeeceaeccabeebadbcbdadcbdbcedbbbbeabcededdaddaceeaaeaedaaddbdaaabcacbbbaddbcbbaadcbbcbaceebeeecddebaeeebaccecdcbacddabaaddacdbebbdaadadbdebacabdacbdceddcaccdaacbbbdecebbaadebdabddededbeaaedbadccedcceabbbabddcdbbddddaebdcdddacecbaaeeebbcbaddceedeaddaadbdcddcdaccacdacbbbeabbedebbacbbbdabaeacbaacaecabdbacdbccdaabcebadbccdeddbecaebdaddbdeaecebddcaaceccaaabeeeeccebacccceaadacbbbbadedbbdbebeeceececedccbeadaeeeebbaddaebecbeacacdbeaebbeddabeeeaaceabeadceeacedaaebcbdaadcecdeddcdcccaeeeebcdeddebbbdaacddeaaacecaeddcecbccacbaaedeebbbdebaadceacdeeddceeedbaaacecaabeeeacccddbcadaaabcbdecbbdbcaeccaadbbeaadbccaacaceceedabbbaeecedecbecababcdeebddbdbccbcebacebeabbeaadbdeecbcddcbaaaccccbaebabdddeadabaccdcbebeeeaeeaccaddcdeedbaebbabeeeecaabcbcaddaeacbbdccbcbaeddbebbabaddacbdebdccceccebcbdaecdededdddadaedbadcbbeedeebbadbbbedbcaccbaaddeaabbeadbedebeacadbcdcbbabbeddbecedccdccccddeeadaccacecbedcddaedacceabdabcabeddaeeeaecdedecbabdecedeeaacbdacaddddbbaabedeaeadbcddeeaebbbbbaacddcaccdedcadebabadbcbdaeacdaebadcebeaeeaabbdeeddecaeceebbacdaaeadbdaedabdcbcadaeeacedabdeaedbcabadaacadbdaadcaddceaecaeecdcadbdbbebceadbacababadcccecdacedeccbabdddcdabbedaeebceaeccbbdcbacccbcebeceedadebaedcdbbcebbbbbacbadceeecdecddbbaecebaceacebbabdedcbdabacdccacecaddbbacbedacdecbbebdabbdddbdeacadcdccacecbaabecbcadadebdecedbdcdcdaeddbbeadeebdedbeddeeedcccdedaaaceedddcabacccebecebebdbdebadcbeaddbeadedcedbddbceecbadabdcebedeeebdabacdcadbdbbaddbcbececdaceeabebcddbcecddaaeedebcebdaceabdebaeedbaaeaaaebdedeebabababdbecbaabeaddcedeeccbddaeeaadbdbcbddeebbaeeacebbbebedaedeececbceaeebcaacadbacddabbeddceddbeeebedceebdcdcdeaddaabacbdddacdccebaeeddacabaeecddcaaecbceaeabcbdadeddeddccdedabdeccaebeaccbbaebbaaabbaacdbabaccedaeaabcbedaaeaeaceedbaadbdeeedebbaaadcacecabaaaeecccabbeaabaeedaaddcbebeaacbeeebeadeadabdabaccaabcaeebebecedcabaecdedcbceeccdeaaabadacbacacbbbcdeaddebecdedadaddddbabcbdacbedcacaadabaabaabecedcabaaeecbbcabacdbebdbbabeccbcacedaeeddabbacebdadbbbeeaeeacaaebacecedbddddbbbbebcdddcbdceeecdcddcbaeedcaebbcbcbcebdbbdcbeabbebebedacbbadbecadaecacacdadeaebdeacddaaececacbdcddebdcbacecdbccdadcecbdacabcaccddceddaaddaedaddebcaabdbdedadecdaabacbabdedbbdbcecacdaceeeacebbacabeccabdbecddcceaccaaaeabeccebcaedbacecebeadadcaeaecaaabdeaaceacabeadabacddeeebaebcabeeeedcccabbdddedebeebbbbaccbbdebbccbdbabbcddcdcdebeceecdecedaabdedcccbbeebccb
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaa
ddbebbbabaccbdccbebbedeebbdcabdaeacbbebebcbbbebbeecbdbeadacdaddccdbceccbcebccbdbdeeeebbddedcccebcbedaddbeaeeeebcaeecacdbcceacedbeeebaaeeceadbbecdadbcabcadadeabcacdebbcbbeeeeedeebceaccedcbebeceeeaceabcdccdebdebbdedebedbbccbbaaaceceecacaedcddabacecddacbebaeaeccebcdcbeeccacebcdcbdbbbeadeebcebbaaccdabbdddabbaeeeecaadbcceedaecbcdcccaeeecaaceeaaaddbbcbddccbdedcccceaaeeceecbceeabaedacaabeebacecbabbedaacdaebecdeaecdcecbabeabbddeadcaabcadbdbcddeacabebcdaabccbedabeddbbeaeddebcedabedbdaebeebcbcccbccddcebdddebaadbeddedbceabbbaacbdccbdccbbdeccaddabeeadabddeebeaacaebdbeaaceaceedecccaaaeededeeecaacdaecaebabaecaacdbbaeaaccddadceebeabeeadeeedeeaccdabbeaddacabaccaebcddcceceadbddebabbaaabdddacedbebdbaeddeabdbadcdbdaacdeddaeaaceaadabbedccbaeedbdbbaedbebebebeacbdadbabeeaaabaaaddbcbbedbbadedeeeecbebbccacacccdcecdbdeaaddcabaddbbadddcdccacdaaddbbbccdabdbcbaaabaeeeeccacdcabdbceceecaccedacbabbdaceabdbbbaaeeecaddaeabcebeecabcadbeedbeadaabbdbdbdecdeaccadcdcdcceabcdddaeaacedcaeedebeecbddcddabccedcebbaadaebbddaeedbbeccddbedababbebbcdeaabbcabcbbdedacecadbbabaaabacabdcbcbedebbbcbecacadbaecbecbbaacacaaebbebabecdabcddbecccebcdecacdbbdccebcedbbbbaeaaadadacbbbbabeadbebdbcaebdedcacacccebabdacacdbddededaabeabdaacaacdbaeecaeadcecabbbadddbaedcceeeebeabdbbddcceeebeabdaabddeccdcdbeeedbcaeaddcecaeebaaadcbcaeebeaeecbeacaebeeaedbebcbaacecbacaaaaebcdbaceeabeabcaecbecddcbaadebbceeeedeecaacaccacecacdcdedbaeeadcddaeeddeccbcbbcaccdccdacbecaadeedacdceaeccbebbdccdedcbcebbcedecccaabbadbbecbcceabddaeabacdbdacedbddecdebdcceedaeebcaaadaabceadebeaabcaeecbdebacbbdedccdcaabedeeadeaabceaeeddbbabaabaaabcedcedbabbaddadedaaaaaceacecdcabdaaaabeabdedaddacdbcbcebdeededebcbddabecbaeeddbcaadadbbdeaedecacbcbeecbbdbdbecebdbdecddacdaaebdabdbabddecebbadecceddacbbbbdceaaaadaecddadebeecabbbccecabceacbdcdbeaaacaedbdccbcbdbadeeaadeadbaababdccdeaedbbbeacdbedaabbadcdeedaadbcebcbcdedaedcaeedacbdebcaeeccbdbbcdacaeeeabeaedcccbdadeddbbccedbdededdcdcbcabdbeddeababbccacddccbaadddcccddeeeeccaaecbdbdbdeedeaeedbbedcccedbbbbccecadaeeeadbbaebaaedcccbcdaabcbebceadcdcaedbecadbdcacaaceabbeebddeadecdcadbddbdacbbdbaeaceadddcaebdeeaedabcbebbcaedddceccdbdeedbaebaadadcccdcdebaacbadecbdcebaeacbeaaabaaeabaebbaccdcbacecbbbdbeddcbbcdecdbcbdabbecaceecccbbbbceceacecadabaadbbaeaeaeccdbddcadaeaddceeebabbeedaaabccbddbcacacdbabbaabaabbcacebddecebeeebccedeadceedcebddeceebcddaeeaddcbdabcccebbcecabcbbbeaaabeaecbcdeecedecdbeebbcedebbaddebaacaaaeaecaaebbceaeeabcadccdcdebeaacceeedccacbeebddbddabbdaabbbaeedbeabeeabacabaecacedccceaebbbeaeeeabeaabacbecaeddcbbcacccdcbcaabbdeeccaeecbbeaddcddcbecaabbcddeaaeecceaeccbaebcbccdecadcdaaedeeddecdaeecbdbbaaacaceecaecebbacccccbedddcccacaaddbcccdcbeaadaadacceebbbcbbbccecaabcddaddcdcbbccbbedaeebaecedccdbedadcacabbdceccdeeecdaeaeebeaccbdcddbaadedecdacdcaccabceeaacedcaceccbeddeecaedccbebbeceececbebccbaebdcaeeecedbdbcbebaceddadabedebbbbccebdcadbcebcedeaaccdacabcaadeeebbcacdadaeacddebbaaedacecbbeaddecccddabcbadecdbbbbedddecbccdacbaadedeaaaedcedbbacdadbbbecddddacebacbbecddabbecbdeceebcbcdaeaeaadbcedeeaedcdebddbacaccbcdbdeaedbdaeaddabaadecdedceceaeaedbacbcebaabeeaecaadceddedcecdbcdabbdceecbdbdcabbebcebbeadedeadecceaacaedaeacebcdabaaacccadccbaadbbccebdeaddaeaedddccbcebbcacbdebbaaaceccaedbcaebcdedcbadabcbceabdaaccabbceebbbecadebeadaabdacedcddbdbcabeedecbddbabbddebbdebdbaedaaebdcdbaaaddadeaaccdbcceadcbbecbabdbaedeebedeaeccdeddacbaebbebdceaccaaaeedcbeacebdbbbecbbadcccacadecdbcdcbeaeabdeecabbaabccdabedcbecdadeccdddccbcbaaabdbcbbbaaecadabeceaaadaeaeeddcdabceecedaddcbebcecbcddbaabcccbedabbbbccebdbabcdbeabcaedbcacbeeecadececdbbdecaedccebeedebceccbbbdeaedaebedeeadadebaaceceedebeadeadedecacbeccadedaecababdbecacccacebadebbcdabaeeadcbabccbbaddddeedaeabedaceeadbebbdcbadecdeecdadbddcdcadbdecebcdaeabcabbebccebddeaacadddedbdceaeaabddbeaeebaecedeeeddbabbceeadcadbadcdbdbeaeeccaceedaaeaadeecdabcedcedaebaedabdbadaebaebbdcbdeebebeeeebecbbbaaeebaecabccebdaceddcebbdeeabeededaeeedadececcaabebdeabeaadbdbeceadadceebadbaeacbdeddcdaebceabbecddabcddcaadcedacdbdecdaaabdebcabbaedbeccebbbaaeccadadedbcdcdbdbebedabbeddabcedbeaabaecdaeccbceacabbeabbeeebbbebceadddcaddcecceeeccedabccdcecbebddddddcdcddbdbbceeabeeaedcdecbeabedeaacdbeededeceaabbaedcccedbccedbebbdbdbedbbeaabaedaecdddcaaeaddbbdebbabceadbcecbeddaaabdbecbddedaabedebeadeaeaaeadbebdbbcaaabdcdabdddbbeedcebecceaaecdedaecbceaaaddceadeeaccbdbbccdeaeaaecbeccbecdbbcadcaaeececccceabcababceaaeedcbacabcaaacaeddebbbecaababccdebbcdeaadaaceccebedaeedbbbdcdcbbaebebedeadcacdeceeaebcdabedcacedccbbbddcbbcdaeeceaaacbccebdcdbddebddcaaebccbbbaddbbeccdeccdbcacaaaebabbbbdbabebedaccabacdeebcaebdecbebcacabcbeccacebceaeeaacabbbaecdabcdaadbbacaaaadcaebbbdcbcebaceeebccbbbdbeabecebbbbaacaeebeeabbccecdbdacbbdbddeebddaaebeebdebeaabbbeabcdabaebbcbdadbadedeacadabdcdebebbeababeeabaaabcbbcddcaacabccecaaabedaaddddcdaddeecbccdaaccabaebaecbeadeedabacdcccaeaccbeaadccedebacbadadbdabbaccebeadaeddeecdabbcacabeddccbbeddecddaeeaedcdbaacabccbceaccedacabbccddeeaebdeacdeeeceddcbeaedbbdedcbccaeccbddcddbbdaaeaabbadabcbbedaebdddbbbbecaeaacbabaecbccbebdacbcabeabedebbcdbbaceaabcdaeeccbccdbecaaddacddaeeaddeebaeddacad
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aeaeecebcdcddcbbeccedacecdcdddcaabdbeccebdabdebacbdaadcaababedcbeaabdedaaecbaebabceebcceaebbadccaabaeabdedcebdbacedbccaaddcbaaabaacbdbadbaeaaccaeaddcadbaeecbcdbdcdbeaecbdacdbecaebaaeaadadbabbbcebccdeacacbecaaeeaacebdaddaadabaabbedaddabacaceccacdeaaaebbbbeabaceaabaecaabdeeecccdbcbcccebaaeddaeaadabceeeacebaaaacbeeedcddeddacdbbdedbeebbeceebdbedadeecbacccdadcbebceaeeeecbdaedadbbccccdeeccdcebadbebaccecacdbebcabdbcdacbccadbeaedcbeeacededcdabceacebccecedbdcdbeebaadbddeeccecdceadcdeeaccebdceededaeddcdacbabbddaebabbeeaecaebbeacbacbdbddcdacaaaeecceabecbcaaaeecbdaaacddedcecbbeacaacedaebdaddbccabddcddebcaccebdeababbeceabbbaadbcbcaaaebeeaadbbababdeaecdaeecaebbcbcdaecebdadbcadcdbaccbbbedbecbeeeeddeddaceedeabcaebdabccbabcceecbddbaceceabeddcecaebcebacebcdeabeeaaaceeedaeeebbccabedcdcabecccbbedcdceebccebddedeaabeedbbceabdbbdbccbdcaeceddcbcdcbeabeeedbcddeadaeecbdeddbcaecebbdadceacecadcdececeaaeebbabadbcceeadbaacedbbcdaddabebbdbedcdcbdadbecaeadcbbbacbaabcdcacdbcdbacdbaeedbeaccbbdccbeebbddedcccdaacbaeaaabecbcbaccacddccbebadeaccdcddeedadceaacbaddcaebaaaebbdabedaacebcbbcaedecdaccccabebbcbbeeebecceebbbedbcdbceaaaedaeedeeddceacdbcbbbdbecaddabcaebddaceacceaadebdbaaaeebcccbebcdebdcaeeacedcacbabdaebbdbeaebbaddcdaaacdedebdebbebebacaabbaaeabdaedadaddbddadccebedbecadbbaabeabeeceedeeedbdaddeeaaecadbdbaebbcdedddaedbacdcddcbcbaecdabdcbedadceadeeadbcdeadaaaededabbeccabddddcddcaaaaaecdeadbdecdeeedebebdadeccacbecaebdbbeebcacbabedcbabcdaaddecadaadbbddcdbadbccaeabddbededdebbcdaeacaaeacdbeddebdedacbaaadacaecdebbaabbacdabcaedbedddcbdadbceebdcabedebebdabcdadaddbaebabaeadcacadeaaeaeabaadaeabaaaaebacdacddcceabaebdbbbacbaaaaecccdeaceeddeacdcdbeccbbdbadcedbdddaadceecbccaecccbdeeedbccecaabadddbaaeecbadacdaeebbbddbdbdcceeedbdeacdcdaccdbddebacbaacabceebdeccaaabadbbbbddbecdbceaedaeceecbcddcceddbcecbabdcbabeaacecdaabbebbdaabaabebcdcecdeecccabcbccbedbdabbcdacacaadceecdaceecbceaacbedeeaadaebcddbcbeccbdacdcabedeaaeabcdeeabbdcbbbababdadecdbcacdddcecadbeeaabcebceeaecdeabcbdbacbadaddbcebcddadbcdaedeeeaeecbcbadaaedcacbedbeaaaddcaecebedabccbdcacaebbbcdadccbaebcdaeeeadecdcedccebeebcaddbbbddaaeceeccedeccdecbdacbadddbcdacbeecdeecacaceebdbbcbccbeceeeceabcaacbbbccbcdbebaccabaaeecdcbbbaceeeaabbbededcabaabddedebeddbedadaceddeadbaabcecdbebabaebccdeedcbcbebcacaebcbdaeeccbdabddacbecedbeaeebdbcbaecedbeabaeccaccdbceebabaadababaccccabbecbadcaaedbdabdacbeaddbcdbeedeaeacabdbaddbbecebaeddebdcecdbedeeabcadcceabbcececabccbdabdddbcdacadacddbbccaebebdecebacabaeceddaaeeebeeacaedddeaacbeaabaddbeabebebeedebacabbdebeaeabeabadecdcceedacccdbeceecbdcdaacaebcbdccebcceededaccaebdedbdaecddaaadddbededccbedaecbddececdaebdddbaedeabaaddcccaababddaaddeeaddedabbddbeacdcdcedcdaaedddcbeaeadaaaaebbadadbeceaeedacaebdbceabbdaddecbebcebddacbeddadadcbcdaeeeccccbebbeaecadabccacebcedabbaceabdaecbbbeeedebaddeabccbabceacbbdabbdeeaebaeaaabadceabbedccdadccebddeecbcdecabeddebabeabdabecbbcdecdbaccadbbbeebcbdcdebeccadacbddbaaadbabddbcaaaeecabcbccaaecddabeebabbecbaddcaddeabedbedcbddaedbabbcbaebdeccbeeaceacebdeeacdcbadebbaddecdabdcdeaeabebedbbbbbddadeaeeccdedabbabebaecdbddbdcccacadebbcdcdbacbaddaadcacaeeceeecbbbbddabababcbcabbecebbcaeacebadaeababbbbbccebacdabcabecbebaecdcbadaaecbaaedebeccbebdcaacebebaecedecdddcaedebedddceeadeaaccaeabadcbebbbaccebbaeceadcbdecbbdadcbcadaebbaaacebcabbdbceeccabcaeaceaeebcebbacbbebdbbdcabecebcbcecbaebedccaabebeaeddebaebeddeacaacbebdeadedebeccceeaabceeeadabdbcabdacaeccdbadcedeedbcecccebddbebecabcccbccbaacaedeccccaddeebceccddcdabdaabccbaeecdecbbeaecdaadaaaaaacabdaebcebdceebabcaebdebcbdbcceabdecbbcbaeceedbbeacabaadecdbdddcebcbcaaaababeaadebcccaddddcbccbbddcedbceddeababaadddecddeceddcccceccaeedbbbeaaecabcdcddadaacdcaececbcabdcaaccdcabebacdddcaaecbaeedabeaecdbaaacaabccccbbecbaadaeaaeebedeedbceadbeebeeabadddecabecaacabdaaaecdabdbecebacccdcbebcaaadaeaaeebeabacbbebaceddbebbdbdccbceabeccbdddbdeaecaabaddcccbeeacdacaaaceccaaacbddaaeedddbdecbdcbccbaedbcedbcdeeeeeadbdbeccaebaeddaedacaacdbcadbaccbbdebbcdaaecdebaeebddccedaebdcbbccbddcccbcadeaccabbbaeadaceeddcbdebdeadcebccabdaaccdbbdaadaccbbdebdebddabecedcaabaeaecaaaaeaabaccdaeebeeedeaacebddadaaabaeebadacaaacdbbaedcecaecebeeedcccceeedecbabbadbbecceddececabddaebacccbaebeacdbedabcadccdaecbdccbaadceabacedcbdccadbcdccabdabeeacaabbaaedccbedbdeacdcbcdecacbbbebbbeedbddcccacebcabbbeccebecadcdddaabbcdbabdebeabeabbeebebeecaebaaaaaeebdedecbdddaaedbeeeebccceabedccdeedcbddcadbcdddddaaccbaebcebcbedabeabbedbecccadadbddcdabaadacdaacacbbcedcccbdacaacadacddacddcdaabdeeabbabccdbacdbedaadbcdccaecbedeccebbcbecceceecddbaaddbbbdeedbecebcebabddeeddbebdebbebbdcbadaedccddaedeabecaebcdebbadbddcaddabdedeaaccceccbdcadcddabcdbccdedebdaabbedbdbdbbeecebccdcedccbeacddaaeaaadbbcbeceecdabbbcebbcecebdebabaeadbaccbcbdbcbbdaaddacaebababdaabdbeebdddeaedbaacececbacaaaaddedeaccdaabadbabddbbbaaadddbcebeaccdeeaeeddebdaccdbcbdccbecdbaebabbbabeaebaeeeaaebbdcddbadbceaadcebecdbbddecbcdbeeeaacabedddabdaacdadbddeaaecdeddabedaecadeadddeabcdccbeedddbebaaccabbeddeddecddcacdecabdcbddaeaeecededdabdcbccdcddbbdaeabddbbdddedbeaaeeddceedbdeaeaeaadbacbdaaaebdeeabeaabdaceadaebcccedccdbabcdbacebaeceeaccabdbdaadbab
aaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaababaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaabaabab
daccacbaecacbecccabdacecaaaaebcbdadbcbcddbdaaaaabededbdabccabeccadbdaeadcdbacecbcddedddcaeabaddceccdbcdcdbdacbaddeecebecedeebdabdcbeabbacadacbbcccbaadebdeacaeaebdaadbeaeeccdbcebcdadabedeccccdbbabbacdadcccaadbebebbbcdadddccebdeddaaacdaceeecebdbcdbaabcadcbedbbbacaceaeacbdbebabaebcbcceccbddaabccedcdbebaedcaccbdbcddecbdcbbbcabcadedbadceeeaeaaedcedeaadbadcbbecadbbcaeacccadbdcedbaccedbbacdaebcecdacbcbabbcbceddcbdacdceecbaeeedaaaeccbcaeeeceddebbbedecbcaabccdabceeababbcbaaaaecdcbebdabcdccddbecdedcabcdbedecdeeddeaeedebadcccdeecdabeebedbeaeaacaaeeadeadceeeddbbaabcdaddedeeeadacdddbcccbbaaaaecbaaadaceccadbdaacbdcbccabadddbdbaebcbbaeebcbbadacadeaeabecbdeddddebbdacdaaeacabebabbbdddbcdbeeedebbdbadaebcaecdbbaeeddaaabdcbeebeaebdbdabaaabdbdccddedaaedbcdbdcaabdbeacdebeceecbacdabaddadccdcbdcddaedbabaceddabadebdcdaeadaccadddbbbabdeebccacddaebaebeebeaddecdaabaaecdaeccbadcddbaceebdcceaeccbaccdadbcadcdaaecddcebcdbdacceccdedeeeaaecadcdedbcaeeeeaddcbbebebcdcedcddedebaecbcabcadadddabbbeaaedeeaabeaeecaaacdcdadbbccdaaacdbcaaccdaabeecbeadbbaeaeaeebdced
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaabaabb
acaaacbccabbbdacbeeaccebdbcbbdbbcddaeaeccdbadaadabcccbecabdadccaebedeeeedccbcabbbaacdbdcdcdbcccadcddadeabdaeecabdadecbeeaceccbbcdeaddbadcdadcdbacebccdeebbdccdebcbbdbebacaababdddbecebeaecadadbadbbbeccadaadbedbdcbccdeabadccbacddaededbdcdedcebdaebdaeaaebaaaddedccdcbbaccbeeaeeccabaabdbeeedcadacbcbcedeecdbeeaccbbceccaedacccdedbdababcceebbaadceddeebcaeaebaadebceecaaaaaddabaedececeddcabbaebebadbccacbbdaddaceacdbebcdaaabceabceaeebdabeedbbedaacdbecaddbccdbaaadccdbbaecedbaeaeceecccedaeccaceabaecdbacddbdadbddcccbdaeacecddaacbadedaddcccaeccbccbaebceccaeedeadccceccdabbbdecdeaabdcebedaedcbeebcbaadeacebacdadeaeceddbeebebdcdcbeadcceaccbacbecadbdaedcabaabbecbcbdedddbaccbaeecdaeeeabdabccacdbbdacebcceeaeadeeadbdbeedaeeabbaeceebbebaceeebaceeaecceebedacaaccdaadabebedadccdaaddecbeebedebebdbeaedeeedabecbadcedbedaeabacacdbacabebacdbdcecbbabeceaeeeeeedcbdbadaddbaeccdbdcbccbcaeeadcbbcadaecbdbaebdeaaecaabcaabeadcececeaebecdcbecadaaddadebbbdeebbaacbcaaabbbaebaeaddbeaaacdeebcbdbbebbeeabadccbebeedcaadecdacbcbcbabaaaedacddaabaeaebbbbeedbdcdddacecccecccdbeedbeeecaeecabbebdbbddcbaaabaeebcaaabddebdcebcabdabeceabbedaeecbdcadabebdabedbaeebdadabdcdaeadbcbdeacaedacbccdebaadacabebbdbcbebcdbbcbdcccaeeecaaedadabbaedbbaeaaeccacbcbbdaeebeadaedebeadbbabbacdddccdeeacbaaedabbbeadacedbdcdabbedadecbbdebcebcecccaccebbecebbccdcecbcdddddbdcddbaaaabecaddbdbeeddebdbcadaababceadacbdddbdebbaebdeacacebbaebdcccecdbebddebabcbccdbbbdaadadbacbbdecdbbebbedbdacaeaedadbeaeaeabebbbeeeaeacabbacebaaecbebdadedbbebbeceddeecbbcaabebededbeeabdaebedebbccaccdeceaecbeabeecdeecaccdabdaeccbedecdcbbdeabdedbaecceececdbbbcbcaaceeadebbbbaeeebacddeeacaeeedbddceaeeaecbbdcbebeaecbeecceaadbaeaccbeeceedaeedcadeabbbdebdaebedbdbdcedbedbccdeeeabdddeadbdbbddbdcedbcaacbdedaadacbbaadeaadabdbbbbaedcdaadbbddbecddbecdabdcddedadccdceabedaecccadaedabeababeccacecaeebceedcdabaeebeeacbddeddbbaadbabedadeabbccbcbabddeaccddcebeedeeebccebbeacababebbedbccdbabbbbaeccecbabccaeadadbdbdedbddececcecbbdedebeccacdcdbdbbbcebebcaaccaeacddccacadeabccdadbceebcdeccbaeeadbdcdeceadacbcaccbccadbeebcccdebceecaedebcccadebdeaaababcadddbeeebaeaeeadbacacabbbbaeaeacdacedbbadddeaaccebbecaeabdabdeccceddcadecbaeedcccbabbbdcbdcebcabccaaaeccadcbdbabedbaaeeaeabbabceadccecbeadcaaecbabbbbeacebebbdbecdaeaeeeaebcadcbbdacdbaadaacadcdbdbaeedecbeaabeeaaedcbececbcbeaddeaacedbdaaeebacccbeaadaedeaadcddcacbdecbbbaebddcbbaedbbcaceebaddbdecddbeeaaccbbeedbeabdddaecbadbebbbeaeaedecceccaacecedceebedcabcaeadcaacdaadcdeebccbedcaedbbcdbbbebcdebbccaecaebecbceabecdcdbcbeaaadbbdabbaceaaaeadebeedddbdeabaddaadbbbebebcddecdbeaaebbcaecbcdbecdaabdcadbdcaacaeaecbedcbdbceccabadaeadacbecedbbdcccdbdbbcdcedebcdeeedeadebcbcebcadacddcaddbbdbddbeedceacaccceccdeaabdaadbabdeeabbecbceaaedbccaadcdecedccdbcbcdcdbebaebdadeaedddadedbecdeddddbdaebccdcacdbdcebaacacbdcaaeeecccadecddabbadaeaaedbecaccaeaadbdccdaccdaddaddbcceabbeccddacdaecdccbeaebdbecbeeedaeccddbcadddadccceacbcdcadceacbcaebaeebabebddacbeaceadcccbcdeddbabeddcabaadebeadeeaedcbecaaaadedddbacdbdcbdadcbcdcddadbcdceaecaedcddabdbdeebeeedaabcedbaeeeeceaeecddcccdabddececcbdeabbdeabdbecaaddedddaccccedddcabaaadbeedacdbcbebbadadcbccccceeccacaedadbedcbeecedeaaeddbdcebdbaddccdcbdcbdedcdcddebecdabebaabebceaeeaaeaabbdddddaededebcbacacbbbbaaaeacebbeeceecbcddebabacbbeecadaaeaabedccdeeacaabebaebddbccacddddccdcdeeebaddaaadabaebcaeeeecccebecdbdadcaeeebacbbacaaababebcdaebeaacdccbbeaaedeacdceeddccebbedbcecedccebddeaddaedacdededdeacaecbebbbeabddbeaacadebcbbaebeeaeccbaabcadabbacdddcdbdaabcbbbebcaeeaececbeeadaaadedabdbbaabcaebeccbddbbceeccbdcaacabaaaddeecadeaddeeebcadcecaebdcdcdbbcaaccaabdbcccbecbadbdcecdaabacbbbbedaaeeaacdacbaacbbaaacebbcbbaecbcccaeadbbbbeedaaebcbadcbaedcddbaedbcaecdbbaaebebcbbacbceeaabacdebacdcbebcdaadceccdcabeaceecacadbedcabccededceabcddbcbdeebcabeabaabbbbceacdebeadeacdbddabcbecdedeabcaaaeeedddbcebeadabdebaceeabbadbbbaadadeccbabceeaaeaadbdcecbdcbabbcbddebbbcaccbbddbabeaedddadddbaaacaedbcccbcbcdcbadcbddbddebebeacbbcecdcdcedbdecceadebeaebeadadddbdbcbcebacecbccdeddebcbbcdeeccdcaeabadbdaaaeadbbaadbacabddaeecaacdcaeebcaedceadeabbeadddcaeabeddcdedbaabeecadeadccebecdcdbeeececaacbdeabeaeadbdedeccadababeecbdedbabdccacccbbecbeceeeccebcebbdcbecbddcbcdacaecdaeeaecbdcdcecdccbeaabddaeabcdacebbcebcceccbbbbecdbdccacababbdddeeebcaaadacdeabdcceeeecbbcccdeaeeaedecbecbabbedcaabadcaeacdacbdcdeaaacdcbdadddeddccdedceaaedcbadcccdccdcaceadcbdbccbebbdeacbabaabacdbeecacdaccebcebcceaacdecbdecadebaccdaaeaaecadecabcaaaabbddbbdbabaeebdabdeacbecdcdbbeeddaabcbbccdabaacedbbdbeddeacdeadbaecbeadedadddcdabbccbcaebaaedabdbbccbebddecbcbeaabdeadceabbedbebedaccbecddbdecaaeccbccdbabdbbebbbdcecdbbdecabeaebddecbbbbdcdcddaadceaddedebeedaaacedceabddcceadedecbdbabcaabddcaebacebbaddaeedbbdbeaeadcacbdacecacacccddcdedcdaeedcbebaceddbadaabbebbdedbbaeabaceecdbcbacaacaeaeaccceaeedbbdecdabebaebeceecebecdcacbaadbeabdbceecadddeedadececadaecaabbeedcdbbeaddbaceccaaaaccccaecccdceadadacedbbecccabebaecdbecaeecdadacccdcbabeaddbbedcedbccbdedcaedabddaebbdbedeeccbcabaaecacabbaceeacedabadebcabddbcceabecaedecccaabeccdebadeeeddbbbccccaacbcdcdadbbcecdeacbdedcacdeccedbacedaabddcedccddceed
aaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaabaabab
cdbcecbdeceebebecbcdcadadbdedaadcbcccbeacbcdacdbedbeacdaddbdaeedadcddbddececcabedbbedadbdaaadcecacebdbccdaceabababbeabdccedcddbabeceabdcdbaccdcdddbecaddaadcabadbacaecaadeaacbcadadeccabeebdcbddaceeeacabcbbaebacdeeaebceeacadbacbcbeebaceddadbbcaeeeebedccbebcadcedecbabaaadbedcbedbbaaaedebeaebabeaeedeaecbaedcbceacbaacecbccccecdceeeaeaebbeaccdbaeccabbbaeeeeeccddaccdaaceaaccedeadbbbaceeaaacccdbdccdedbdeadcdbabcbceacccccaecebbbcacbacbeebcadbceabbeebbdcbbacdddbceedbdacbcdaabdeadbeddcebeebdbeecacbbaaadbadeebaaebdebeabcecdceaccbdbbdeacdeceecdebcacabdbeabbecccdbcdeaeebddddeebaaacaabbeaaeeceaaebddedbebdbabbecedbcaaedebdcbeabaecbcabeeeccedaebaebcddbbecadbbdecababbaedbedcccceabacbcbdaebedacbdddbceddbdbedcdacccdddabdceedbbccdcdcacedeeceeeeceddaccbcbeebeecebababedeaabeeaeaeededcbecceeaecadbcaeceabebddbbdababcedeaebccdbdeecdacdbccdcaeeededccbcbecbdcceaeabadaeebaacdaacabceadebbdbacaaccbeaeadcccddaabccddeeaccdecaabebcbeaddcdddbdaaabbdddbacbebeedacaebdcddbbeadbecdecceadbbaaedabbdecaceabeceebbcdbbbcddcbeccaaaadacbeaeddabccdddbceeebedaaeecabcaeaebeebacacdeeecdaecaeaececdccdbeaeeeeadecacaeecdddecedcadeaeaaebebdaedabeceececaddccdaaeeabcaaabcacbeddebccabbceadaaecbacdabbaeeebaeedeebbbedaabcdadbdcdcdbdddbcdabbeebbecaeceddeabaddcdaeeddccaccedbadaecabadcccedccccdbddeaadadbdddceaddcecddaabdbabdddbebbdacbccecdeeecdbecdeaddabbcecbdacedabdaeacadbdaeebdbdecadddcdbaadcccdacddabdcaaecbbbbabdabeeaaaeabccabdbaeeceddeecedabcdcacccebcbcbadcbeaacddcebdeadeadaadedecbedadededdbaecababdabedbedcbadaaebcdaccedaadabaceadeeebedacdbbaacbbbdaccabededbabeeeeacdccedcebcacabdaaeebcccdeccdbabecaeceababdebdbbadeacdcacaddceaeedbbdcbaaeaedadcdbbeebadeebaaeeedeedaebbaccddcdaadcedddabbddbcadebacbcebdabcdcecbaecadddedbceacebbbcbdccababdbbbdbeadccacecbaccabbcbdabaabeccaeabbdaebceabbbbcedccdacececdcccbbedabcabddcdcabbededbabcbaebceddaccceedbaaeeecebabccbcacadeaacaeabeacaecdbacebeeddcabaadcaebdbbdbecdceddcbaeaeaebadeedecedaabbcaaadaecacebdecaaabeddcaabdcbcdbadaceeccdcdddcecdaeaaecdaaacadeebaaecaadbcdeeccdddadbebeeceacbcadbedcbcbbddcaddddcbccdcdbccdebdeaaeadaebbcaaadcdebdbabdaceebbeaacbdadebceeddaaaabddecbaaccbcddcbceedebbacacaedcedbacacebdeeaccbaabbbaabdcbbedbbcaabccedcccabcebdcecbeccbbaaecabdcaaabccbcebadddcebdadbbabaaaceabcdbecaddeccdaeacddcddedaedccaaccadceeebadaaacbceeceeacbcebebeeacdbbcbcadacbcdeadcabbbcbcacabcebccebbeebbedbabaecccecdcaeedeccaeddbbecbdbbccebeccdabbdcadbebbdbdbeceadcebbeecdabbbcbdedbcbabccebdbbeebecbacebebdcccabdccceecedccaeeeebddbbaaccbdebdedecbadbbacbcbdeaaecbdececbdabaceaabdbaccbacdbeadbeabaeaabddddbacabedaeccdabadcdbcaeeaceaeaceceecacaaadcecaddbdbddcecbbebdbadbeeddbeceaabdbdbbbedeebadaeadeccadcbcbbaacbcceddcbccccceadeceaaccddabdebeccaedaecebdebcccaabaddeddbbaceebadddeedcbebbeedbeececcabbceabaabaaedacdaebeaaceddaecbbcdccaeaabcacebadbddeadcdeaeeadabbbcacaabdcceecaeedaaacebcaeecbbdebbdeeebdddaddaecddcecacbceddccdadcbcbeabeacceaaeeeedaaeabedeabeeebccabeaeedbededebecddbddddebcbabadedbccdacdaaeeeabbbaaebbbccdbbebadaebbdaabdadbdbabbeadaeabbebcceaedebdcaecabadaeddeaeacecacedcbdecebeebcecbccbcbaccbaecabdaacbdcaebaacccdcbdcccaaabecccceedccbccbeccdeabbbeeabacbcdecaddcabddadbdbcaaeacccbbcbbcebdccecbcbcccbaeecbdcbaacdbedaccdcacbebdbadeaedddbeadecbcaecbbddadcceeeaadacecddcaaaeebacbddcbbbdecedebbebbbddbdcedbaaeedccceeaeeecabbacacedbebceeededdabbeccdbecabccebaaccdabcebdbcdadececabacaccdbadebaecbeebbdebcdabbeadcbbccdcaceecceaeecebdbddabdaaedecbaceeeadeddbabaeaabbdbcbbdebbcebaaaeaedabbbbbaeddcececaabcdebbdbabeabcbeaddaaebbecabbdcacabddeceaccdaaacbabbbbebeeabeccaacddcececcaedcbdacacadbcedbbaedbbaecadecaabdcaceceedccbbccadbbbdbcbaaeedadacdeabdbacddcccdaaeadbdabbbeacdcebaebabbaccababeccabcdcbbadabeaeebdbbcdaeaeaacccaececcbcbaaedeadedadcaaeecdcdedadabddbbcdcadddeebddceaaecbadbbdbcecdceacdbecbbcbeaaaaaceeebaeabeaebaebabdbbcdadeabbbddaeadebdedbddebdaabccbeebdaaeececcdceccdbdbabaaaaaadcdcabbabeacccceaeabddebabcaebabeaaedcbadccdacdebceeeabdcedccaeaeabdedacacdbeaebcabceacbccdbdcacceaadcacebccabdceacedadeeddabbbbebaebecbdcaedaadcedcedddcbcaaaaaabbcababaccdcdeeddaaccaeadbcdaddddeebeecceccadcbeebbaccececcbbdbaddbddbcacbdacedbcbedbeeededcbdaeadaaceacddabbbbebaddecabeedebdecdaeabdedeeccbecbeabdcedabecbbcdbeadabdabeabbaaaccebdbeedddeddecadebdeeddbbbdedbebcbadbcbadeadcaeceabceabeaeadeebbeaedcedccabcddddecbcbabedcbacceaaaeacaeeaddaddaddedabdceedceabdeadedbddebbbdcbbbbdcddedbceebdedabeeadebddddbccaeeabbaaaaaceababaecabbdadcbbdbebeeeaaaccbbbecacaaddecbebccabaeddcabdbddebdebbaaddddabbcabbbcebedbeadcdacaeaacacacaacdddaeeccdebdbbeaaabccdccedacdeececddbcadcbaaedaeadbaebaddaadeccedeaddbddddeaedccbcdcebcbeaaccddcacdecbcaebedcaebccceacaeaaaabdbeaaaeedccaceaabddbaeacaebbececcbabcedabbcedccbbbaeabcedcbdeecddbbedcdabeeabeabbbdbdadedbaadcdeebeebcaadabedabbedaadccbbeedbdbcbcccbeadeddbeebebaadaaecaecbecccdcccabcdabdbdcbdddbcacdeaeedbdaebaeecdbaeecbbbeabbedecdececbbedcdbdbbaeeebbcccecccdacbdbbdebcbaaeceabadaacbebbecbbecdcedaeebdaecabdccbccdcecdacddadcaaadebceedcadadecbabeaaacdbbcbbbadecbbeedcbdacbdeecaadcccaaeabedcabeeeceadeaccdbedddbdaceaeeeeaedabaececdbbceedbbaacbdccaaceabeceadcdedcdbacabaacc
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
cccbccbcbebbdaadbabdddaaaeaceabecbdadbebbcbdcddeeedebcacdceccdeecdbeecaedeeeddddaaaabcceccadeadddebcedcdabeecceecdcceacacceeeeaeecdbdecccdeaccbececdeecabbbeebabbecdacbcadcdeabccaabdcaddddecbbdcbcbcedcccacabaccaacaceecbdceebccedaaaccccbdaadcadebadaabdbedaacbbbaebcaaebbbcdabdeebcaeceebacdcbaceabcabaddcbedbadcdabacacacadbbddabceaddaddbeacadeaeabaccbbecbaadbacccedadbbabdccbaeeedebeebaacdbbddadbcbbbccbcccdbdabacdabbdaaccedadbaeabba
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaabaabab
baaadeedaabbcddbdaececbbacecabedadebecedaebadebecabbaedadadaececdbcceaadabebaeedbcbedeeeecbeeaaeccbacbabedbbdebeeebadddddbbeceabbbdceaaddaabcacccbeecacbddcbacdabdaaaeebbbeeeadaabbeeadeeebddabdbbbebddcabecedeebaabdaacebbebddebaaeccaabdbcaccdaedaeebaaabbbeaecedcabaaaacdbcbbdbeddbcebdcddebcdadbdabebdbcedbebebebcbddeebbbbadabcccabeacbadecaecaaaeaaacaecbdeccbdecdebbabcbaeebebeaeeddaaeabccceedeebbadeadacdaeeaabaaabbaaccededbcdbceadbaeeeeddecedbcbdebdaecaacdeaccacccadcadeceabacbdeaebebebbcaceedeeebedcadbedccbaadacdcabeddebcaedbbcbbceeecededaddeaeeaaeacbeeddabeaacaceddedbcbaaecabddeecbeceadaaeedbddebaadbddbdccdbcbccddedceccdbcbcceecceccaaaaaecaddbddecabacebadaaadaeadbdcaddeaadaeaaeaebbddacaebddddaeccdccdccaeecacabdcaedccaebaccbdadedeadacabbdccbbdeaececedcbabeebecbabecacebbddedceaebdcdaaebacdbececddaeedadeebccacbadddcbdabbeadecdceeabaabdcebaeddccdebeedbbcbaecdeabcbcaddceecadebadabdeeadaadabcbcbacbbcdbacbeaedcbabdaeabbbabedcaaaeabdaadaeaadaaebbaabacbcabdacaddeedeaceecedbdddddeabacecbdedbadeeececedeaaacdbdcabbbebdeeceaadcdeddaadcbeeaebeeecaacaeeaeeeaaebdccdbdbbbeaaadabbdebdbbaadddcedaeedbceeadadaacecbadbcedabcecbeabebaceabdacccaaacbcecadbdcbcecedccdedbdeaddbbdeebaeacecccbeaacbbdeeaeccacbcdeacedadeddbabdccacacaddcadeacceebecceaddadcecbdedbccebdedeaeadeeabecbdbacecacedbbcddcbaeeedebccdaadbbdeceedbbcdcadadbcbacbdebaaaebcdbebadacdaecabcccbbeadbcbdbeaeeacbabadadcbbdedccdbaebcdeaabdccbebdaaeceecacdbedabbdacacabaccdaeeaebcceabdedbcdcdaadbdcbabeceacccecddaabbddeceaaeeedaccadeaedbcedaddcabdeeedbbadddaceaacabeedbaebbcbeabedcedceececeaeddedabeaadedeedacaeeddecabdaccbbbbbcdbccbcdbcadbedecadedddadecebcacddeeacdeedbdeebccecbbeddebbedabbccedceceddcdebbecdaaedbbbeaaedabecbadaddbbbaadcadbceabeadbabbacdcadccbacdcddebedbcbabbbeeecdddaaeccbdaedabbbabadabcbbaceeeedaccdabebcabeddaeecbededecbdbcceaeddcedadbaedcaecabcadacedabcbaaadaeececccdeddedeebcaecbaadbedcbdaeebadebadbbaaccedeaddeaeadeaccbbecbaabccebdbdeabccbbbcbdaeadcacecaacdbccdecedaceceebbadebedcbdbaceacaabeddebabbdccaaabdabcbdeadedbcdadbbccadaeeecccdcbebbedbeebaaacbccdddaedddeddeddcdedeadeececedbbeeecdcadeeaacadcdbbddaadbeabdedeeebebdabbebeaaacdcedbadedddeceacceebaecacbbedcebdcdebeeeacbccaabbcdddabedbccbddeebeddbddabaccccbabbcdacdabeabcabbbbbaeeaeaabcaaedbdcddcdbaeadeaebdaabbdedaabdecedceecdbbbdebedbbdeaeadceddceebedacecbeacdcaacaaaddabdcedbdceebbabdaecedaaaebadeedcabaaabcbcdccadedbaccbcdbeeedcdeebeebdcbeeabececaeebcbbbeccdbdddbdbbcbdcbbeeccdeacceddaaccabdcabdeaedebeebabaebdaccdddaceaaddeeaeedacecebbceddddcccbaabebbbdddaaebeaebaddbcbceceadabebacbdeadbcaddbbecbcecbcebadcdebeceadabecaeabeabbacaaeeedbceebeddbbbbebddeeaaaaddcdbbaabddeeadcdbabadcececebeabdeeebdaccecdddcdacccaeeecbacedcedaedaaedbeebcebbbacdcdedbcaaaaeddbcdeebeaaceeadcadeadcaacbbcdcdcccbbcdebcaadedededbcecadacabdadbaccdaeebcbcbeddddcedbacaedaeaddbddeeabdceacddeebeedeecacbaddeedbbbeeeebacacecdabdbbaaaecdbbedbcebeaadcbabbdbbbcbbdecdbdabcdedaeadadeacbbadeaabaeabdedaddebeeebeaacddcbbddcdcdbbeeaeedadbeabdccaaaedddcadedbdcbabbbdcddecadbebadeaaadcacaacdbadeeebabbeedddeccabeeeeebcbaceceeeceacdbecedeacebeaecedadbadaecaecbbbbebcccdccdcdeabdecbecebddbbaaabaccaaabcaccbcacdedabcecadbadeebeedcddaddeeccceaeccbbdcdbeccdbeeabddbadcbcdabceebcbaaaaecbccccdccdbedaeebdcaddaccccbdbcdabacebedcabdececcabbcceeebdcedaeaeadcdbddbbdabddaccbcbdeeecadcbbebdbccbbcaebbbeabcbabaadecabaecccbdbacebedbabbabebbdbccccaaecaddeabeedbbddbbccadcdacddddeabaaeaadacecebaaeceaececadbdacaceccededcbccdcdedebbaddbecdaecebbddbddcebbbbecbdaaedcbdeeaecbedacdebcbbaacecdbcdccbbdaaeeeedeeeaededeebeaccaacaaccaaeaacbeaeeedaccbcbdbbddddebbadeedceedddddbaeceaacbdbbdecdcbbaadeecbddacdcddcdbbbabcedadbccbdbaedbeebaaaececceccecebdecbdccbdcbaadcbceedcadabbaeaacddaeeedbdadacdbbcceccbceddaaacbbbacedbbcadbadeebabcabaaecebcdddbbadaceedddaecebbdadcccaebacbadacedbdadceceeecbaccbceebbabddeebeccceeadebeacdebccacebeceeadcbeeaedccaebcbbadcddcaedceaeaecadbbeacceadcaaabbdbdddacabeaedadddebddecdadaacdaacacdccdeaecbbeaebbdaacbebacdbaebbaeccebdbeebcedebaedddebadcbbbebcaaccccbadbaaadbcecbdabeeaedcacdbdaacccccceedadbddbbeeabbcddeecacbabaacceebedbedbbcbeabecadbebcbaedbdababdcaecdacbdbedebaeeadbeddaaaceaddbbceaabcdbbbcbcebbbbaeeebeedbacaedbedccbecedabbeacdcbebaeedcbdeaabebecdbbdaeaedacccbecceccdbadcbddcadbdebbdcaaeeabcdcbbcdbabaceacacadabbceaccecbeeaddebabbacadabebaadbdceaededbdeeaabacabdebbceecbadedddeaeecebeceeeaaaccbcdeabaeecbdeadeeabbddbdcbeccccceeecbcdaddcadcaddaacbcccaaecdedbcdddbaaabcecacebadecabbabadebbeeaeaaddbcacdaabebaecddeacaaedbebbecaaccccaeeadbaadcdaecddceeaabcdbcabebceeecbaceaccdeadcaabdaedcdbeaacceededcdaeeddeeadbeadcaccaccadecadaceaecbbbaeeedabdbbabeaaeebedbcdacecbbedeabbaeaeaacadacebeabaeacdbebacedcdabebdbccddededacdcbbabdcccbbddaabddccbbebebacbcbddaabacddccbdcbecdddcadbdecaabecdedbaedebdeadceebcdeddbeaddecebaebedaebebdbabeeebdaccdbcbebdecdbcceaebacaedeebccbcbcabbaceccdbbeeaebbbaaeaeccdaeabbeaabaebbeaaebcdeedcebdedceabaaddddabebabeedcdaceeceebdddbbedbbceaedcdbebdeebedaaddaececbbeeddbaecabdcbaebdabcbaebdebcaececceebeacaebaadbceebbeeceddadcdaeccaeeacbebcecbcecbcddbabddebddbaedcaccadedbdec
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaabaabab
eaaaeccccaccebabdabbbecadebccbdaacccbebebdcbdeebcdadeadcdeebcebdadeabaccaacbeebcddcbaaaaeecccbeddeccbbeaaaecdabdcbaecbebeccbccccdcdedcaddebccceaaadbcbeacbedbebdaccbaabdcaabbebbbcabbaabbbdeaebaccbebaabeaecbeadaabcebeecabbeeadbeeaebcacbcbbcbdadaadcccdcecbddbcadaabbddadbdbbcbcdbcccdcbdbebceecabecbbcdecbadbaceaddceadbdccaeeccdeecaebceedcaeeaccaabddcbcdcddbdbdcdebecaeabcdecdeeadbbeadceccbebacebbccdbddbcadadbecabdbdacaedcbdebedcbdcbbbcdcacaaaabcaeadaacbbabdbacdceedcdccbeabdadebeddcebbbaedcacedbaebbedeebeadbdcebbbdabacdbebbeceaedaebdbebeadddbbbdadcebabeaedddebeebacaaedbeecadadcdcbcadaebbdbbaacbeebeaaeadeacecbbdaacdcdbedaebabbaceedbaaeaeccaddaceeeecbecacdcceeecdacdaadbedceecbdadbbdcbecbbdacdceecbcedbdeddadaadcabebdeeaadeecbbdceaacbaaabbecdbceccebaeabbaabdbceaedcddcccdacbdcbdddacbeceaaabddebaececabbaadebbdabeabbbadbdbceacdecabeaabcbbcedaddcdcdaedebddaadcbeeeccdebeeddabedabeebeaaababddacadbdbdddedebbeebbedbbdebcbeacebbccbceaccbedbcdaaddebccccbdeaadeeedceceddacacbcdcccbabbccbeeaccadebdbdaebdbaaaaaeeedabacabbadaadcdedaceacccaaaaeccbcdbddbebbbeaabeececccdcbabddeeaabcdcdebaadaeadaedbecdaacdcedbdacbdbacebedccbdcdcddbccecadcaeedecdabdcaeaadeceadbababcbccabcedccbbededaecceadaddcacacdcdecabdbdecadacbbcbbcecbecececeaaedabcddcdbabadedaeaedcdaabebcebcedacbdbedebcdacdaebbddddbacbabeedbdeecbacebedbdabdbcaddaaccbdacdcbbeabcebcbddedadceabbadbecbcadddcdcabddeadeadadaadecbcbeeadbceaceaeccbdddaccddbbaeeeacbbbcccaeacbbbdcbaeaeadacbddbadeaeabceaabcdcabcaacadadcebaadbecbceecdddabcbddbeedecaecdddcacddaeecbdbbecccedbcdebeadcaeebbabbccecddaeadcaebcdbddbdaddaaedaaabaeeaedaaabbdebeaabebbadbbebcebbcabcebbebddecbdcbdeeeeadccdbbececacaaccbccbcdeadebdeeccdbacaeeccaaebcabbedbcccaddeaceddbcdadcacacbdaadeddcedcebdecdebebecbeaececedceaebedeceacadaedddbceeccbeaebebecbaedcabcdacbaaaccdecdbbecddbddaadecacbdedcaaeddbebeddcacdebbbdecedabbaaecebccdccebaceaeceeedecdbbcdcaaddcbbbadedbdadcbbabdbdcddbddceabeeddaccccdbacecebccbaadaaeceacdcdedeededacddbccbbbaaaecadeaacbdadeeeecccecbadaaacddbbeddeaaeeaaecadaeabaebaaeaaebdacaccadceadedcdeedcabeaccacaaaaeaddeacceaaabcdceaebbeadcaedcdbcabdaeebccbcbbcddacbbecedcdabdebebbadbdddbcdbcdeabbdeeebbceddbcecdaaeacbcedadedeeeecaebbdcecddababddddeaadcababeeabcedabedddeeadbdcdccebddacebbdcddebecbbeabbcecdecaaddceadabadedaeccebddceaeaabadedabaddeedbaaeadcdecccedceaecebbbcacaaabcbecbaadabbceeaaedaceadcaeedaecabcbecdedcbddeeceeabcdebaebbbeeeccedebedacbdcdeeeeadddadacedddeeabedeadbebecebdbabddbbeeaeabcadaabdcbadeeeccdacbececbdedaedabeaebeeeedceebbacabbeecacdedbdccbccbbbdeebdcddedecbdeedecddadeeddeabbecacedbacedaaaacbcadeeadedaabeebdaecadebeadecdedbdaecdabdcbdaabcaceaebdccceecbccdbaeaebeccdbbcccbeddeedccbceebcacbeeeecbbcdacbbdaebadcacadaceceabcbddeceedcecedbcacdccabecaaecadbddacbccceeadececaabcceacbeaaaeaecdcbaebccaedeadbcaeeddbcaaeebeddcdddddbadacdbbecdcbadbbbcdeacceedbbaacebcbeddbecdcdbccaddddaadcdedccccaaeeaebbadadddeaebcecbecbddedacaeccadbdcedbebadabdbbdcebbaedcececeabddbdddacbcbaabdcdcbaebddadcbdabadceeabdcabdecddeeeccbddccdcbaebacabddcdeacceeabdcabcbccdbdbabbdebbadddceeccbdddcbcaedaadeeeaababaebaddaccbdccbbcebddcaacaebacaacbeebbbddcbbababdaeecddcdaeabddeabedebbceeabeccdacddecebadbccececddbddceccacbbcbcdedadcadecdcbcdbeaecadbdabbbbebaaaecebcedbacacccabdadeacaacbcbbdedbbeaccbdadddbabeecdecadbdbebadabbdaaeddccddbaabeeccbcdaddaebabebacbacaacedcdddebdebbdeccdceeaeddaccbdeebcadaaddcacacebcdecceadcabaeccbcadbdcebbeadecbdbdbaaedecdaeebbeeacabecabecacaddcddceececaadcdbdbbaeeddcdcaabbabadbaccecadeccaeccbaaaaacdaedadccabedccbbceedeeddddecaedcdecedaabcedcdeebeecabdcdcaabcccbaaabcddedddbcacceedacbbdbbacbebaeaccbdebbdcccdecbedddaecdecaddbcbcacdceeceeecdcdaaaceceecedaabaecebccbebdbcdedcdcddabeddeebaeedcbeddbaaddbecaeeaebcbbeadcdeedceaedcccebedaeabeddeceabdaabbbccaacdeadbacebccaceecebadcabedeccbecbeabbbedecedabcdeeabbedcdaaaaceacbbbddedcbcccbdeeccbbbeaedcaddcdecbdedabcdabcbcdcacbddebecacadddaccbcddebcaaadbebeeedecdbecebbaabeecdeebedcccccabeadabdaddbeadcddbcbebcdaaaaaabccebedeacabcedbceabadcdbcbcbddbcecedbbcacaeeeccdddbeeaeacaccabbdeeaaababbeecdccdcceabacaaeabacbcecdcebbccedbcdccacdbedddbedcaceccbbecccbeeeccddecaaabecdcabadbbeecdacaadbdecebeebeceedabaceecbcdddcbbaccdbbdcbbddabcaeceddcbdaeecaeecbcceceaddcebcaceecbdddbcbeadbddddebbdcedbdceeeaabaeccaedadbdacabcdbbbbceadcbeaececccabcdbdaacdbaeccebdeddeaacceebadbcdbbceddabcaececbbabaccadccdadaaacaaeeeeeecaeaabddccdaaacadbcccbecdebdedbddacdebecbbadaabbcbdecbcddaddbcdaeececbdbbdeabadddaeaeedbccbbdabccbabecccceecebbbdbdbedaceecedabadbccdbccdeedabecceaecbebadecbcacdecbbeddeaceacdcadcdcdbcdcaacddebebbeacbacadccdbccbebaebccdbbcedaddbaeeadbcdaabdcccacbdcccaeeeceeebcabeeeecddaabdbdccebddbabdcccadbbaeadbaaeabadbdddecedddeaadaecaaeeaeccadbeecbdeaccceecbeabebabadddaddadebdccdcbacccdebbdeabbbaaccadbcdebeceaaaeeadbeddacaebcbeebbdcdecdbbeeaccddedbaaccbebbeedaadedbbcaddedeeaeadadebdbedebbeaadaeabcdcccbbbdaddcaaedebdcbaebebebeacadbbdddeaabedceebdbdabecdeccbddecadcdaaaebbcaeaeaccddcacededaaaadacdbccccddaedddbbedeecabbedeadaaeabddedbebdbcbbbeddedaeeeeececaeedabbabadbebcccccdeaedabacbedacdddecabbdebeacdccddbeedeadbb
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
dbadbccdbaccbbadddcbcaeaeebadeccbcedccbeebeabbbbabccaeccdddcccedebdabeedeaceccdeecaebddabceabcdddadadcdcddbcdcebcccdddbcaacaceacbedbebdddbabeaccaaeeebccaaedadacbdeaecbbdbccbccdeaeaadeebcbecbcdaabbbeacbbedecbdeebbdabaeaddbedaaaacbacdcedbdbddabdbadcacededbdaebeacbeddecbbebcdbeaecabedbbadcabebbbcbaaaeeeebacdacecaabaddededddeedaaaeebaeccaeaaeccedaeceaeccacebeccbccbacbcebebacccaddbbdddaedecdcbdaebbdbaadbddebbbdbbedecdccadbedbdbbbcddaeaeceaaddcedbbecbadebddbbecdabcdaaebedeebebbebbccaaecccbaaecdbddcadacdcbeabbadaeccdeaedeeedecdabdbdccbeaddecccbedbecbdcceecbeaedbedceebdceadcedaaabbacbabaadceeebbaeacbddbeaeedcededabedbcacaccdebecacecbabcebaebbeadeecbadeebcccacaebeccbeadadcdeeaeacddedeeebcdacadecbdbddaaadddccbbeaeeabcebeedbaebeaadeebecacebacbdcccedceeeeadecddeddcbacacadcbbdaddcebaecabcaddaededbbdccaaaecbcebddcdecacdbadeebeacdabbebdccbbaaccadabdaeddedcaabedecedcdacbdbaadcbccbbbacdabccbeadbaaecbaacedcddcecceabdbececaadbbbaddaeaddcdedbdeebadabbceacabebaaebcdacecabceacbbcdcaaadabdddebeaaceecedcbeaaeaaadeabcbeebeaaacebbebdaeccbdaeaedeeebacdddcbaedccaceeaaebbdbcccddedbbbcbdbadecaddaebbacecbaeedcdceebeebbebdeebebddeedacadadbdaaddbacaeeddeebbdccaebcbeaeddebdedbdceedacbdbecaaebbbbaceaababebddceeeaeeaaebcbcbdbbacbaeeacbbdbdbbecacaaecaaccbebcbddabddadcbeaaddcbcbbddaebdaaaeddbbabbddaacaaaaeacadcedeebccadaaaaeedacbcebdadddccceeecedddbaceadbbaccabeedddadbacebaeebbedbcbdacbadaadaeccbddbcdebbeddeacbcdbdebaddeadceaddcaeeccdcdbcbcddbaaebeaeecdccadbbbbccacadabceaeedebdebaeebaadcbbcadabdebdebdacedaeebaedcbbeddaccdcaeaaeababaddaddaabecbeebbecdaaaaecabaaaeedcccedaacbdebccdedccacdcdadcbaedacdbedeeccebdeabeeddbdceaaebcccbdeeceabdbbabccbddcabcebcdcbdebceecbbedcaddcedaeadabebaddbadabcaecabbddbdcceddebadbdcdcdaeedcedaabaebcbebeecdccedcbbbacbcbddcaebaeacdbbacbabadbecdbacbaeeaadbecbcaebdcdbdbdaeaaacdecdaccadbbdaabaabbcabdedeedacaceedebcddaeacbcdeaceeadcccbdaaddaadbccbddcadcbbcbabaadccacbaeacdeadddbebdbeeecbdebeeebcccdcabdebbadaccabaadbeadcacccbecdcdbdebaaeebbdadccbaeebbdcdcaeeddcdaabccbcbaedebcbabdcdbbdedabaaadebdbdebedcaadadbdbdebebcdddabeaecedcaeaeaedbdebeacaccdbcabacbcacddddcdbbdaceabacedddccbdacaabbbdeecaacceedacbcbccaddadedaaaacdaccdeaebcedbdaebacbeaaeedcadbeaccbcacdcadceecabcbddaaacbcdeeeebaceececbcebcbbdeadcdbceabcedbcacbbebccabadabbddddcbbabdcbbebdddecbdddaadaceecceccbadbadbedbddeababdeaaababdeaebeccbcbdabcccbcdddadaeabaebbbbcbcbddccceecaabbdddecaaceabdbeabcadeddadbaabbeedabcbddccebbcaeccaeabcdabcaecceecddaecadcccacceabbddbcaadcabcdcbbbebbacecbcddbeeabeaeedaadbebdadbabadbaaadeebccdcdeaadbabebcaedeeabdcceebeaaccddaaaeeedbaabebceeddabccddccbedeececebecedadccccedacebccaacdddceeabeebebdcdeaaccbababdbeddaaadadcebcdbbeedebebaadbdeedadedcedcccbacbebbaadbdcbccdeadeadedabeececacaebcadacdbbdaebbecaadccddcdeadbebecbedbdcbcdbebaeadccbedbbbadecccdebedbecaacbbcaabebaebaaedebdcccdeddababdbcdeadcececaccdedceedabcbabacdbabdbcaccdbbceeecccecbeedcedeebaeceadcdbcedcaacdcdaedcecdebebbdeadabeaedcaeaeddadeedceeddebbbbdccaadbaacddaaeabdbaccaebacdcbbbbaccacecebbaedbaedccccdddceceeaedcddbbaacdbcdabdedadabcdddbbeacbeabeabceaaebdbeaddddcacaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
ddcedebddeecdaaecdaccccebcaeedacbeaabbdabbeaceadbedabaabbdbedeebbbcebebddaaedcbcaeccbdcaaeebdddccbbaeaecaabbdabdeeaecacdaaeaeccaeeacbaaedcbbaebbbdbcaaaecbbbeaedabedddddccabeecddaebadbbbeaaaedcbbddbaaeebedcaedeceabeabdeceacbaedbdcaeeeabedbecaeeddaadcbeaadebedbacbebeebcccbdaccaaeceedeaeddadbedaabdeededcecdaaecdebadcbcaeaaaacccccdebdeddcececadaeeeaabdecbdbbbeebabaaadaebcdcedacbddeaeaccdededaabeabcaadbdcaaebcddbcbeaeeaccdeeeacceddaccabaecceccacacebdaaedcabadceceadadacbadedabecacccabbbbccbaceacaebddaebbeccaecabcdcbacbceebdbeeeeccbbbbedaccdcbaecbbdcbecdabdddaeceebedcbedccacbdeeadbebceddaaddececcacdcdadcdabdbeecddbeddceeaacadaaecedaacdebbbcbbbcbdaddbccdaaeabebdcbeccdaecdebeeeaacddbeacbdcedaecbbebbeabacabbadaaebceedcecbbecaabedbeaeadbedeebeceaacabbaaecbbcacbbdcbbbddbaebcdcbcaedbcacebdbeabddeddcdcdcecddbeabeaeaddbbccbdebaebaceaddbbedbbcbcedceebdaaccdccabeacdbddaaeddcdeedbbdcecbacadbdcacddcbbccbbddcdcbabedbcdbbbdedacddaeebabddacaddcedddaeebdccedebedcedcadeebeddccdcebeeecdbcbdbdbcdacddcccadadedceacacdeeedcdbeeaebdcdbeaabaecbcebedcbabbebdaeccbbaedcedcdcbbdccbbdeabddeccdaacacadaddaecbcbebdecbdcdbdcacebdecbeaceedbdddbddcbdecbabcbdeadebecdbbbabababecbdabdcaeadacbccbbcabedaaddcdaaabceddcddbecaeadacdebbbcedebeaddabbabccdaaddcddebacdadabddcabbdeebcaacbbeebadacecbbbbdadcabbaaebbccecbadccbbdbaaebbeeebbadababadebedbcbaddbbdebddaccaeeeaaecaaddebbaccbeccddbceddaacdeeaebedaabbecceecdceebdcdcdabedebbcdbacaaaabaeccdbaccadbeededecbaeebbeecadaabcbeddedaaeadbdbebbbeadbacbadcceadceaaddbecdbcdbdcaecbedbebbdddcadbdecbccdebabeacacadaecaaeddabdbebaecdaebbbbdddcebbbbdccbbbacabdeccabcaededbbdeededceedbbbdebaaecbcbecdeedbdadceddbaeadaeaedceceadccabbcebcbeabcaabadebaacabedbecaaabcbcdebeecacbaecbeacbdeccdabaabbcecbdbcbebbdbebaeddbdddbecbdcdbadeccdbdcabdedcdccdcdcbdbbeaeabebcccdceacecdecebaebaaeddbebaeeceeabbeceeaedaacebcedbeadcaacbccbeebdaeeaebcdbeedcebbbabccabdaebdcbdbcbcdebccbeedddceebedbceccebcbaadeaddeaebccbbabecdeedabdcbbaadaacebcdebeaceabdeccddebedcedbaeddceccebcdddbcaeddcbacdcdcdceebdbdebecaabbebcdbabccdbdaacccaebceeaeeaddaeddaaadbaeabdddadbadbcedeaedbceaebecebeceeeeeabeecdbaacdecbeeebdbdddccccdcebceaaddbbcedceceddabbeadaaebaacadddbaeeddedbecdbbbcdbdeeaaabedbceeedaddccddbcabcaecbceadcaaabbadeaedaccbccadeaecdeebcdbcdbdcbcbaddceeaebeacdaaeedbceebeeceaeeacaeaeabecbbcebccdeedceecbaeeaccdbbacbbedebaddcbbadcbabbaaacdbbbabbbdcedcaebddbeabdbdeeedcbdbcddcdceebabeccdddebadbdbbdabdaecdabbddccddeeaddbdcbcaceddbecbeddcbdaacaeebeddccedaebdbbeeecadcaceeccacacebdebaceaddcaaeecadbcaceadecbaeacdbeccbccceebbdbdcccbdeacaedcdccacceddeabbdacdebbdaaaedcdcbbacacaeedcddebdaceaeeaceacebadebbbbccbdaedeeebbbaccadceeebaecccbaccdbccebdaacdbeedeadacaecdeeaccedaddcdbabdcbaddbaeeccdaeddbdeeddacbedcbaddbdbcbbacedcadbdabdddaedebdccbabceccaccecaddeaababbbbecadabbdecceababadaeadeadbbdecdeaebaccbbacecdcdbaaecbbcabbdebeebecbbdbedbdbbdaaaedabbeedeabbaceedcbdddcedbadbbeaeecccaeedebaeecdbaecddacdeecedddbcbaccecdeedeeaaeabdddccbcbebaedaecacabcbacadaadeedbecadbceabadcdcceeeeeddbbadadcbcbccaebcadcebecbdcdeebdaddbdaaaedbdcdaaaddcedbcabbecadececebeeadecedaceabdababbadcabadedbabbdbddcbaecbaaecabcadbeaceabdcaeecdaecdebecededeebbedadbacacaeccdeeebbdaacabaadadbceccacdebdedbeeadbbdeaddabccaededddcbbbbebbeacabaeddaeabbaeedcabcdaacdbbaacedeeabebcbcabbdaabcbecbcdaaabeaeacdbeabbdeeeacaeeeedcebaaabacdadcedadbabccbaaaabbdddcabecdebaabeaabededbbecaecededeebbdececadadbbbcdabbeedabcddcebeabcecbbdadebdbcabacdbecebebaacabbdcaaeadbceecedcaebcacebaaebebaedeccdaddcbecbeedbddbeaebbeacbbddbeeaccccccbcaaccebcbdebceeeacbecaabecdddeabdccadaaabbbbebbecaadedaeeebcccbaacbacaaebcbebbacacdecaddadedbddddddbdebaaadccaaabedaadebaabaeeeeacdbeebecbccdcbaeceacccdabcabbcebbccaeeccdeabccceecbbdbddccccaaceaaceaeeaecbcdaaacebdcbeeabbaeccecdcecaeeabacebbbecddbddaacdaeaccbecaceeccebeebacbaeaeadaaccbbbcadcdceadcbadecbabecebeedadddacdadaaeceddbacbecccedadececabeacbeedbccedacdbceebedaebbecdbacecbeadeecccedcdcbccbbddcbbeecdabccbdcdaeeabebdbbdcaadaddcaaacbbcacaaeaaceecbabbbbaadcadaccedbabdaecccddabbeeddabcddccacaaededaeaeaacceccbdaeeaddccccaeecddaebdbcacaeecedacaceaacddaccaeabcdaadcacbbbbcacabbabdcccbdeabcbdebbdceeebaabddaeceeabaddbadcecacecccaededccadabbedddadebdbdbdbbcbabadeaabedbcdcdcccbcbeeadebaeccdcbcabceeadcdedcabbeaaddeeabdaabeebcacccddddbbccddddaedeaecebabaeddaaabceddbddeddcaacceecbdecebaebbeebdcdcaddddabaddedebdeedcbacbededdedbbdeabbcddcaaedbddbaabaabedecddabbedabcaeeaabcccbbbddeeecdaeccadedddaebdebbbadddceccdcbdecddbabbceeabcebcdcaebadaddcceccccdbeeeeadbaacdcaeccaeebeaaedbdcecddccdaceeadeeddadbbaedbdbedbdcbccdcdaadaeaddacabcacaaeecdddedcecccbeaeceddeeceecbacdcacceaadebadbdcdabedaadbdcaecaacbbedccabadbaeadbdcbbbbaecccedbcaadbaaedaabeadaeeaaccebadaeaadccecbaaccdbaedaebccaacdcaeaadeeaabdbbeadbbbbeaececcabadcaeebadbebbadbcaceedcedcebedeedaaabbcdabdbcaeaacdaabcededbcbcaceadeabddaaeaddaaeceabdebbdddccbadacadababbbbabdaebddedcadeccaadaceaeddabeddecbeeeecdeebcaececaddbeabcdabcecdadcecddaeacddbaebdcbaaebbedaacbaeaddbededddaaedbedaabcebccaaedcdedbbaeaedcbddeadadeeaabdbadceeedddcbbaeeecabdaebacbbbbadbeeeacaebbbdabcdebccccececdccd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaabaaabab
ccacbdebecdccebdabccecebbbaadacaacbbabcecbcadabedcecebceddcacabedddedadccccacbbababddaecaaededaeaaecdeabccaeeceadcedaeddcecbddeccddeddbcabddbedecbbcaddedeceddbabebdbecddbdcbdeebaaedadbcedeedeeeccababceeacbddcacbdabbcacebdcbacbcdabacacdceadccebecacaedbdacbdacdcdccbdcaddedbddcbabbccaeadadceddbdbaeeaacdabbadbeebdeaeeaeabcdcebdddabeaaceedaedadeeecdddcadcadaaedbabbcedcdacaabcbbaceaceceebeadadddcedaddcbceaadacaedecaceeaabccdedcadebeeccdcaddcbbcbadaceeccacaccdbeeeeedeaeeaecdaeeeebacbbdabcdabdadcbaaebacdaabdeedcdcaeaadadaeeeaccecabddeddcebbecadccddbeaaeeeadabbedaacbeddcdeaadacedbaeecbbedbededadddebadadcddeacbadbcedacdbabbdabadeceaabcaaedbdcdcdeacbaeddddeaaebaedeaabcbcbebebdcdabeecdacaedebeaccbceebbadbdbaacceccecacbedcabeebabcadebceababcecddecdeddbdbeeeacbcccdeaaadaeeeccbadbaddeaeeabedbaeaeebbaeeccdabdceebadbcbdebdaebbadaacddabbcebbbccddeacebbcebdaabbaddedcaddddcdbebadeaaeeecabddaabacaabcbddaacdcaebcbbbbdeabbedaacbecceabaddadbecdcacdbadbedcddccdddbecedababcdecbbeacedabccecdbbadbdedbbecdadccdccddebeeaabbbbdbbadccadaceebebebabdcdbcadaebecabcbebacedaaeabbadeeeadbdbbdabdbecbcdcecbbeddebdbaeacadedbabadcaeebadebbccbceabccbbbebddcdaabbbdececbeadaedbddcdecbaadbeaaebadecedcacbbbeeccaccdaeeacbbccbdacbabcdccdacdbbaabbaddbddedeebdaabdddabbaaaebbedabbaaeceebbddcacaabcbddbeaabbdccddedbcaccbbdeececebbdcceecddbccbedaedaabdccceccdcdcecacbdceddddcacecacaccddddecacaaccbaceaadadebebeaececebbbceeccbbaedadabdbaddeaabbecdbcdbcacebdbabcdbbeeebaadeddeeaddaeaaedabdbeccdbceebedcecdcbacbeccdcdbdaceddeacdedcdcbdaeedebdbdcceecceaecedaecebadddcacbbbcdaaedcccabaadecdecdacccecbdaebcebeaccaccbdceaadabbcaacecedbcaaddcdabaaccddacbecbecdebcbbaeaacabecbccaddceeaeacebaaeeedececbdcdbcadabdbecbdbbebdbaaedebbbeaacdcedeecebbbbeccdacacbbaababccbccccceeabeaacadedaabddbcbebdccbaeebaeebaebcdecbbabdebbdcecaaddebeeebaeaeedbeeceddaecccccaeebdccaadddddcaadaedbebcececeaacbeeeceadbedbeeddceadabeeadcaedcaccacadcdaacbaebddcbaccaaaacebaddeabeeacdaddbaccedadbbedeeccdeaacabecacbaaccabdedebaeaaceaeacbaaebddccbaaeddbdadcaabcebacbaedeaaaaaebbddbeceadaeacbbbcbbaaedbbdededcaaeeecbdbbaeebedaacacecaecddeccdeaeeeaacdbbdebbdaebccdceddedeabedcbeaabeeeebadddabbdbdcddbccdcabaddbbcbeceeddbacccdeeebededecdeaebdaaeabbebeeacdecbbaccbdbdddbacddccebedbdceacacbbdbecdaecdbaeebbeebbeedeaaebadddaaaebadbbdedeaadcdcbadebbdecedbabbeacaaebaedddbcdbccceaadceedcaecdeaacecacaeabaacdddcdbceeeedcaaaebdbeabcaccadedbacceeeaddbacebbbbddeaeabbbacaabbbeceeceaddcbaadcbedaebaceadcabcaebeeebeeedccadeddedcbdbeecbaadcdeacadaceeecaccddbaaabdbcbbaeceedbbbbaaceeabcedcdeeecaeadaabdbebedceccaaccceccdeebcaeddadaebcedbaadaaeedeebbbbcdadbddcbeabcbbacacaeecadaaaacecdcddebbcaaeedaeceecceaeeedbcbcedaccaecbbacabccbdbbeaaedddebbbedcceaebbabebcabbadacbdecaeaeceadaebbbbeebbcacdebcebdceaaadaecdeeaeeedbececeaeecceccccdaccabcbdcbcaaabababeaeacaddacdaeaeabbceccbacacedbcecadbedeadcacbbacadeceeacbcdcddbbbabeecedabcaaebecdceeccddebdaeadbabebdeedbaacceeabdcedeaccbdeddeabcdacdbdebbebdabcabaecdbadcdcbaddbabdbbaaeebaaeaddacabbaadbdaeabaecebdadbebcebacaddcadecabceeceabdbebbdeeaadcbeacdceeceadbadaceeceadbbbccbcbbbabaaecbababaecaaeabbbbccccaceaaebceabdebeaaaaeebccbcdccdbeccdedabeddcdaadecaddbdaddcdcdebdcebbedecadedbaebedcdceddabbadccbbeec
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaa
bbbcedbedcbdeecbebabddaccbcddaebdccaeebddcaabddceaecaeedebabcabcaaacdaaddaccacadecbacbbaeceedcaccebbeecdaaddcebcccccdeababccceebccdbdbdaeabbbaeeccdaddcdbeacdcbddebbdbbcaebeccccebcedbcaeeabeacbaddedcccccaabdbacaaacebbeccdbeadbabaaaddaebecacddacdcccbdbbcccedaabeadbcbcbecebbbddeebdabcedcebaacbdcaebebeaedaedbaecacdddaeadbdbbebdcccebaecccdadacddbeccdbbcbacedbedaaedecdcdbbdbababcbedcbaceadcadbebecaabaccebdcdeadbbdcaadbbddcbbaebaecaeaaddaacecbbacccacccbdebddebeeadedeebdabeceeaadecabcbcbddabdbecdbebeeebabbbadddacedcdedacdcadcbaeabddeccaebeebacdccbacdcaaeeadeedabaedabbbbeeaeeaadcbabeddcededaecadbdedbeabedddcdcddeedbbdbdadeabcadadaacbabdcddccabceadebedaaaadeebeaccbbeeddeeadbabbabedceabebeccabbbaaeeecdcbaabbbabedcbcaeaaeedcebdceceaececaccacbeaddccabeacdbaaeadcecaaddccacebedacbacdcbbbebebeadbbeaabbceccbcdcaeabbadedccbaacbedcecbbcababccdcecbbacbebbeedeeecaccaedcccbdeaceedbaeaabdeaecbcabdcdddaacdcdbbbcdebedeeecacbeedbcaabaeebedeebadacdadbbacadcacaeadcbacdcdcbedbcceaeeabadddceacebdedaaedecaebdadceaadabcceddbdeaabeebcdbcdeaeabdceaadbcbdedccaaddcdbdaddebddbbdedaddccecdcaecbdceceebaeedbaceccebdcbdebaaeadadcedcdeadddcbcccbacaeadbabddadebeedaabedecaaeecaacecddcbecbeebbdcaccaeceaeeeedbdadedebaaaacbabcebbdeccbaeaeeeccbdeadaeadbbdaaadcabacbdbaddacdbbbeeaceacdcaaabbeeeeedcbdbcdeebbbadeabceecbdceceecbebbaadecbedbcbceabebeacbbadcbceadecbbbccecbceddebbdeeabbdcccdbceacceedeadcdddccdebbcedcadbcbedededecceaceaaedeaedacaeecaedebebabdaddbababbedeccecbedcadddbdeddebccddbeecddeecceacbbbddbbbbbaebeabeaebbcecdeaebcacaddcbccacaecdebcadcdebbccdcbaaacbaaabccaadeeabdaecdcdbceabdbeeceacedbbcceeadccaeaaebddedbaadcbeeeeadeaaecdcceebbabacdbedaddaccebeaebdacadabcededadcbeeedaadaabeeadaccbbceebdbaddbeadbacecbeceaaddeddcaceebdcbbdeeacbacbcbbcacccbcbbbcedccbbbbedcceaeadbebecdcdacebbceeedbadcddaadcdbbbcebbeadcacaebcacccceaaebadbdcbcbeededbbaadbbccccededeebebddadeadeacdaeacbcbceaccbcddaacdbbebdcbdeebe
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaabaaabab
ebbeebbdbcaabebbbaedebbebeedcdadadcbdcbabbbcdcecaebcaaebdabedbadeaccbdcbddeababededadcdabeebeabaadcabccdaceadaabeebabcecacdccceceebacbccdceebeeacebcecdaebdcbdaaceddecbabedaceeebdbdadabecbedbbddecebdbededacddcdcdceeaaedbdeebecedbeaaabbaacbcebeabcaedeaacdaedaeeecaabdebecedabdcabbeccaaddeadebcdeaebabeeedbccdadeecbadbdbadbaceaabaacbebcaddebbbebeaebbeacbecebdbecccbbaaacedceeeaecadbccebdadabaebadcbdaacdbdbebaccecaacbdcaebdaeadcbcdaccededddbeebcdebecdeceedccbeacbbaddbaaaceecbcecaceabcedabaedecedcdbcacddcdecccaecedaaebeaadddcebabaeddbbaecbddebbeeebccadcdedbdeddbaebaaeaabacaaabcbcdacbdbbcabbbdbeebddbbaaaeedbcbeeebddabeccadcecbcdbebeadacadecbdebcebadcbbdbedaaedcdbecaedaccbdedbaaceceebadcebcecbbddbcaccbadebcaecdaceaeaecaecabebadcbeddeaaeecbeabedbaddbdbeaaeddbbbbbbabccdeedbecadbadcdecbbecccebeeccdbaddabbdabcacddedabadeaeeecdbecbebbcabbdeceaebddcedaccebcdcedbacabdaabecdeecbdaceaeeadadacdbeaceacdaeaaebbceaacdbcebcccecbbecceaceddaeabceccbddcbcadaabbeaeeeddcaeeebbddcabdeebcaddbedcaeeaebcaadeecccaeccddcbabdadeaaaabececdebaeebaaeaadaebcadadaadadcdbdaccbaaaceccedbabebabbddccbeecdbceddeeeabcadbabdccabdcaaedebadddaacbedebccbedaaebbcccadebdcebddceaaedacddabceaabeeccebcacadcdbdaacdeebcaeadadbdaaadccbbbbeeeecabedabcebcedaccbdabceaceebeadebedcbbcbbeaaebcbaeedabebdeeddedcdbbbacebebbcbbeebbbaccdbbceccccaaacadaeacceacbaadaccaeecadbbebeecaddeecccbdaebeeeadeacbceaeabdebebecdcdddcaadecdbdedeaaecdeeedabdaaadcbeacacbcebceadaedddcbbddecccaacdbebdaddbbcbcbabdadebabdceadbcecebadecdcabbcacaeeadaadcdeaebccddcbeeedcbebeeecacbbbcdbbeabcbebedbcdbcaebabeedccbdcddaddbbaaebdceaedcebedaebdddcbcdacdcbeceebaaeecacbddbcddebdeeeeeedaccbebaccbbbbaddaebbedddcdececdaaabeeacedcbbdaabbbeecedaeebaeebbbbcadcabaacacbddddabcbececadabeecbaddaeebcdcdeaacedaeebadebaccacbcaacceecedaaaecbaaaecddbaebddaccbabddecbdaeeeaadbbbecbdadbbaaeeedceecaadbaeebbccbecbcbbdaecacbbddadcdabdeaaeaadaabbdcaddbcdccbdcececadacdddaceaddaaccdddaaceaaacddddceaddeabadabecccbeeebecaddadbddeaebcdccacebcaaabcebdebbbebedaeedbdeabdeaabaabcebabbdbddbaedbbcdcaedbcdeeccddeadecbaddbcbadeaceaebabdbcdbbdcedddaceeeceaaeabecebdaebecebeebbaabbabdcdcbeeebedbadbbcdeabbcdacdacbbbadbacebbeeececbaccbaccadebbdccdedbcbdecbdbecccabbdcecbaedcedbceecdcbedbeaabbacccbcbbddbdbaebbeaeeadbeccddbbaebdededdaddaeaccebacccecabeddccedcdabedbeecceaadbacebcdbecbbceeabeeecbcbbacaceedacecbdbecbbcdeaabccbacddbabbcbedbabcbaebbbcadedbbedaaabaebdeccbdaeaccadbcaeccddcdeeddddacaacdcaeaddbedaacccabeeacceecbeeedeeaeaabbeabebbbbbacdcdccceccdcccabdaabadacebdabaaddbadeeecdeeebecdbabbdbcaedebbbabdabddddaaccecaaaebeddaacceababbbcbdbcdbaabccdbceddedaedcdedecebebaadcaeebdbdceeeaedbdebaddadbdceeacddedcceedceaaccedecbcdcebaaedbdcebdeabdcdbbddebbeeacbadeeaebedbdbdabdbaccdbdaabadeebcccdbdadcbeccccbacbaabbeaeaaaebacaebadeceeaeeddeeccddcaaeeaadebededcebaabcceddddabcabddedeecacbbdaaaacdccdcadbdedcaacecdabcdcadddbcadecedbdecdbacaecbddacccbeedeeddebececeeedcdecebeaebabcebbcadeddebbadcdabeddeceacececdcbceccdeeeeccbbddddddcebaebcacdadceceaeedcddabdbcadcbdecccebdbbbdddeebedbeaecdcaeaccdeeabddecbdbabecbdddaabdaacddebecceedcdcbabdecebddcaddecdebdeedadabdecedcaabdaecddcdbbbaeabaeecdacbaeddccdcecbaedbbabeccbaceaedcedaadbeaccbdaabbccabddabeacebcaabebceccebdadedcedcbadcaebebddeaadccecaceecacacbdaabdababbcaabeabaddabaeadeeecbddecdeeabcedcbbbccdadaddbdbaeeaddaacceddcbdbecadcadeccaabbecabddcdbdedaecacbcbeecdcbbabbeabedacbcbebacbeeacdbeeaeebcaaebdddedcabdabdcdeecadcaceceeaddbccccbcabacaaaedecebbddcbcdcdacacdebebcaedceaeebacdcdccddeacceeddaceaaacbdcbdbacdcdabdaedebbbaadabbeabebcbeaacccebacbacbcaaaebeedabbcccdcecbcbabdbcbceadeceeecdacbbababdeeddccacdbebcbacecbbddecbaebaedcabebebedbadbceadaccdccabeaceeeaccddecedeaccbeddbbbbeaaeeabbdbbecabadaacbbdbbadccdcceabcacccbbedcdadeebccbadcddabecedbabdeedbdcdcacebbeaebebbcaacbcadbcbdadadbbacbbcdacbcbadcddcbcedcabbbcdbbcbcaeecabcebebcebacaabbddabcbadaeaddbacaacbeddcebdedcddeecdedcadacbddcadcbcbdedeeebeceabaeeaddccdddadeaeaebaacbbaecadeccbdadebccebacdaeecdbdcabaddbbecbcadcceadeeadebdbdbbeddadcabcceadbcedcaabaaccedacabaaabaceecbcceaeedbbabcdaebabbdebbdccabccadeecbaeddedadbebadacacbbceedcccacaaecebdedaedceabbdedeadeaabdddbcbceaadedabaaddaaedccdccaabdaadadcdbceddbabaeaaeeceeabcaeacbadabddaeeeebaebcbaaebbceabccbbddbccecdaabadeeebeaeabbcaabcaaaaabbcbccaacadceddaacaabdebbaaadecabbdeaaabdbccecbaaacceabdcabbaaedbcabebbccbacebccdabaecbaadddddbcdcebdbcdcbebececeeadeddecacadadcebbbaeebdeccbeadebedbabeabaabccdeaeadbbaacbadeaccbbbadabebedeadeebbaeedaabdcbadceccebcddaeaabeecbbbcbdccbcbeebccabdcdeaeebbdecccbbeaabcbbcbbedddccceebbcddaaeebcaedcddeccaeccccededbdcabdbcbdcddaacabacbaecabebddecdaccccbebbebdaccebccbcbbabeeecbbceedacbdddddcdcdeeaacecbbcdcbccdcaebabdbbedacacdeacccbadaeddeddcddeddbddeeeddbabdeacedebbaadeaebecacdddbabcdeabeebdeaadbabcceaeeeddbaeeddaadeedacabaceaeaeebbebdbebabbddaaeacbcdedbdadeaedbcbadabdaeedeadcdebcaededbdcecbdbecabcddccdabbceeaaeeadeccbcccaeaceecbcbdedbebaacaaeedceceeedecbbacbabdbbaddeadddcdedcecddcadcdcecdacebdbaaddacecbadacccdbccbdcbbdbbecdaeddcedeceaadcaadcdbaebbadaedecbabddcdaaedcbccaaccbddaadacddeabcaeedcadbeccaceebbe
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aeebbeaacbdcbaddababdcbbabbdddadcabadccbdcbebbcebadeddbaecceeebebaaaebdcaecebcdbcabbecdadbbacddbacdecddacecaaddcdddbecddbbeddebaeadaeeeccddbccbdabdbbeaaeacadaebddcbcdaadcbbabeedaaeaaeebeaebbbebcbdeaabacbbedeadbcdccedebacbcdbabeddeaedcbcbddeecebacbbcaabaddebbecaabdedababaecaeddeddaebebbadbddaeadabacecadcacaeeaeeebcebdbebadbcadecdcddaadeeeadbaadacecececbccedccdbccaecebeccabadceacbbcacecaecbeadcdeddaacaeaeeaaaadccbdadeacdbbcaeddebaeaecebdcbaadcbcbabdbcaeacdabdadbcaebbabceeadcdebeaecdbbeadabeabcedadeacbacaadacbccbeeaaaaacdacbcdebaadabaebbbeaadbbebdbeebabdddbeacecbeaecabcebacdbcdaceabbdecbdeecbedbcaceedcababbbddabbcbbbeecbcbbabdaaadbaedceaabeccbcbeeeebcccccaaacacedcddacebadcacbaedabeacbddeebdedcdecdcbceacaedecdaacecbebadccbbceaaadcaabdbdeaecdabdebedbadbeccdaaeddadbcdeabeddaececdcbbacbeaceebadddabcbddbedeebbecbdbccbddebcabbbbcbbeabaacbcccbbcabdadaaaacecdddeccaeaabcdaaadecccbbdbdbcabacdeabccaeaaebadedecdebeeeedadebaedccdedaddccddcbdbbebdebadcccaacceaddcbbaaeedcecabaaeedeadaedbddeadcaedaaeeaebddbdadcecdedacdbcbedddabbaeaebccdbdbccbeecdeaaaacbdadbaaccaaeabcdedaaedecceabddbcccbcdbeedabdababdccdeabccdcedceabbdcdceabdebdecccddcecedeebbdbbecabeeaddaaaebaddbcacaadaabbbadebcedcebeacddecacbabbecbddbbeacececeeecdcbdddeaaaceecbbdeadedcbaeeaebabaeaeededbecbcaceebdbcbdcecdcdaabcddbdabbeccddcbaabadebbcaebdcaccdebdbdeaabeadbeeceeddddbebeaceaacedacdcecdddcaeeeebcaebeceddccadeadebdcabbbeecceeaaccbddcbbaeadcdecadcabbabeccabbbcaebaecdcadacddddaecbaccdddbceeeecbdcaedcdcbedaebbeadeeebecebeddbcecbcdabcbbeadbbeaecadaccbdecddeeeabeacbabdcaccdcedeeeeabacbeebcdccadeaacbeceaccdababaebdbdeeedcbdadbbdebabcbcbecdbcdbeeabdbebcabbcedddbaadbbbbbcbcebedbaeececdceedccabcccdddcbedeebbdbbcceddeabaeaeccedddabebabcbdddcabeaaaebbcaaebecbaccaeecaeacddaecaccebdebbabacbcdeeacbeebbbcddedacddaceccaccbbeaaceabdecdddccbdcadcdcaccaececdbbeaececcaeabdbccedabaeaadedbaebaababbbbdedccdaaadaebeacbedddbdcbaeaedaedadbcdabcddbaebadebadccecedeedbedbcaececbaeacbdccbeceaeddacdecacacacacddbdbaaabbaaeeddaeaacccaccbbccbcdcdebacdabbaeacbddddbdbbecebaaecadaccecaedeeeceecaabbdaccbdbdeceaceeaccaebbcabceaeeeacbcbaebcaecaabbdceeadbcceaeebeddeeababdebacbcecebcdbedceceeeacbddbceedbebbceedaaaeedceebbcaceececddacbeabbbcdaebccbbcdccedcedbacdbddbdadaeecdeaebbcaacbbbaecbbbbdbbdeedddbaaacddbbadcdbbaaaabcdacdbadbcbbdddbcdacadedbcbeaeaceebbebcddabddbaceebdeceeadaeaaadcabebccaabaddacdedacddabbadbcdabcbeaddadadeecbcbadaaadaccaebcdcabebdbdadbcdddcdadbdebabceaecadbbaddaddcbcecbedbebbccdecceedcccbabeaacdeecedbacbadecabbddbebacdecadcadabdacebdcaedeebaeaaebbaeeeaecbedaacdedaeacabdacaaaabdbacecdcdcdbcdbddbcdaceedeebacabaddbbcaddeaaacabcceaceddbdeadcebaebddbdbdcbebceeecdcaeaaabccceeaadabcaccdabbcabedddeabdccbcacebbcdbdcdceacbbdbecabaeebbdbcacaeeebdbacbdeacbebcacbdbacaabdebbdbceddecabaaacdaddbaedbadcdedddcedaceeeddecccbdbccdbadbdedeeecadecbdebcdcaceabbdabacedeaddacbbbebcbcebeaacbebadebeeddaabccabcabbadbaabdaadceeebbbacdbeccebdcacebadebcecbbebcaedccaaacaedaaacdeddbdceeadadbeecccdbbeecdadbaeeddbbbdceccadccccdbbcaabaccadecbeabdededcbebbeadddabdcdacbcaaeceeebbacedebaadcaccdeeccdeeeaaadbecdddaaacbccceacdbcedecbcaabacdadbbedeceaccdcdbaccdeeaaceedcadedededdceedadebbabadedaeaaacdbeeeeaccacaabedaddecacadcabaacccddcdedbceaaddaabbbcbacdcbacbedcabecdeaabdacdecbdebcebeedacceaaeaaddbccbcddaaaddcaddadeaddeeadadcbadedabdcdacaebcddcaebdeeebbdedceddbcadbcaacadccedbccbbbeaddeebaddeaddbabcbaaaacbdbeabbcebbeeddaccaededdebeeaeccdcdbebcaedededeaeddbbedcbbcaceeacaaaedabaaaeecdcacdcecacebabbedebabbcccaaaeccbabedbeedcccacdbbbecddaaaaccebeadacebedbbacecadbdbabcddaaaecceecbaceeecedbabadeddceabedbaaaccaeaddeeaacdddcdaccbceaaacdabcccdcadbbadaeaadcbececeadabcdbbcaceccdcaddadecedeeebaceedbecbedacbecadbcccdecccedcbebbddbaeadaccceccdebcbccbcaabceabbdcbeeddeadcdedbdecadbaedaabbeeeaadddcabeddcecebeddbbbcdaddddbcabcbbdaccacddcdacceaeaeedcdecbcdcecaadeaaeccbcbedeeebddadedbddadacbdbecddbbdbbcddecebbeebaabcbadacbdebccaecbeedcadceaadabdebeaacceecbbabdcdccdacbdcdaabaceadccaddbecccbebedcbceeedeaeddcdacdbcdaabacccaceeceacadbdeccacaadbcbaaaceddcdecdbebeaacbaeeabccdbeabaebabddeddbeaaeeaadedadbabcdbacadddcceacbccdecadbeeadbacecabedcbecadaaaedcadecbebeeddccdebaacbeeadbcccdeeddadbccecdeeaddaadaceccecbdeddacacdabecceadbbdeabbacddedbabbdaacedaecddabbaedebaeeccdadaadcdcdebcbbeddcbcaedbeccaddedacceccccacdaacdeaaaecbaecddedacdcdeccdcddecaacbbbbdbdcbcedceebcdcedecbecaceacacaaacbecacbbcccacdaaacdeebddddcaeeddebcaacabaabadacdccabbdddaaecbbcdaeaededdeaacaaaacaaaacaedcadeedabecacaaecdbdbcdbcabdbeccdadcbcdeccbdcdbebceccedeeeabacdaadccdcebcaaeadacdbeabdcccaaacebcbadbdebadaaaeabcbddcdecbcadeeecdcececadcccebecdecabdcadaccddbaaccdaceeaedcccaecdaacbaaeabaaddeaedccdcbcacdbdddbbbcebbbbaabccdeeebbdcbeeedcdecdaadabadaddaacadbedaadccaebcbaceeccbbecbbaaebacaecbebdcbcbacecddcaebbabbaeedeabeeabbcdcaeddadbdaabeaeabacbbdacdccdecacbecabbecabadedcaaaeadbbdbbabedeabbeabbcbbcededdeeaddccecddbeeadecdabbabaeacaccaedbbebcecaabcaedccebdaaaaddeabdbebbdbebaaabdbadcedccccdbdaecbedcbedbadaabacebdacbacbbedeaddbaadebedbdedaabdeeeebbeaccaeeebaebccbcdbddbaccaacaccdebcddbcedebbddabbddbccdc
aaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaabaaaabaabb
dbcaabcaeeabbaebbbebebbebbbcbaeaeeeedcdceccbbaeabbebaaebeecbcbecdcdbcceeeacbaeacddacbcacdcbbcdbbaceaaddbcddaabceeaccdcedbbdcabcabadedcdaeaeadaaeedbeebbecdbdcbcaadcbdbbedccaacbaeceebdcbdbbcdbaeaadcccdbdaadceeddabbedbabedadccadddbcaabeabdceaabacabbbdaebacceebebdcdbebbaedbdeaabccdacddbdabcbabbcaeabdebcaaabbeaaaccdecdbddaeabbdaeaebdeecdbbedebdebeeababbbabcadadbbecccebbcbbdbedabacbbceaeecbcdedcaecdcaccccaedddcdbebebcbbbdaaecedcebaabeccbdbcaacbadaedaaacdcadbabbbddbbebceaadcaceedceeceeebeecaebccebaeeebebaebedceeaaabccbdcbcbbaceecabecaacdaebdbabccdbbddebdcccdcecdbcdcbeaceeacbededbdcdbcabedadccbcaeaadbaddcdbedecbdddadecbadceaeedabbdbbceedbcddccbeadeddedadcaeedcaaabbebcedaaeebbeeadcddcbdbbeeaaccadadeaabbbbacbbdabcabecbcdcedbeedcbcceadacacbcaedecacddcbceeebcbdeceabdedbcdccaaddbddeaecccddcddceedaaacaacaadaaeaceeeedadebbbcadddabcacdddcbaacbecaeebaedabdedceeabbcabbdaaeeccababbeceaacaadaaeaedacecadbcedceadebdebaeccdadabdadbebcebedcceebdcbbdcbacebcbecaeabbdecceadaeabaeddeecebdadbeacdbbbaadcaeeaeebaedddedcaaabedeeccdeebeedbdbdecaeeccbdbbdbbecbebeeddaaecaeddeddacabbbdbacbdddcebadadcccedbadaeceaedbdecdbcadadaabceedeebabecbacdabcaabeddeeebdeebeedbeaecbccddbadbaecdabbeebabdabbceccbaaeacceaccacbdeeeaeacbbaaebdcdbbeccaeaceeadebdeeadbabccdacbabbeedacddecaecdaabbdeedeedcedbeedecebaddbcdaaabdecddcceccbceebcccbcbcdcecabedadecbedaceacbcadcaabaddcbaddabbcddbcacdbebececaababeebcbbeaeddacadbdbbbecbdcedcdaacecdbcebbabbeabcddaeaeadceaebbdeeadedacacedbddbcedecaebbdbccbbecaabdeedbcacccecbeebcdabbedbeababcdbbdeeadebbebcccadccdcecdeeeedecaeccccebededdddcbbcedbabccbaedccdcbbbcaccbccccbcbdcbeeeeccedbddebecbceeabbeeacceeabdbceeadbeeedcbecbcacdddaacebcdcdeeeecbbabccadcccabcbcaedcacedcecdabcadaddeddcedcdbaabdabebacabcaaebcabedbeedcbdcadbdaeecadbacdeeabeabbdebaabccdbabdddaaddbbddbacacdacbbedcacadaddaceadcadbdbdeeaeccdbaeabbaededcacaeedbaadddcccdabbcbddbcdcccebebdebbbeebcaccacbeaedbbaeadeeacddaeccedabcdcebdddcecbaeecbbbbbacdbbebdababcebceeccbdadaebbbcbabbddbbdbcccbaadaebebdbaeeeebaddbbccaacbcabddadacdbabbedcabcdebecaaededcdebbabcedbbebdbbcccbecdaadaadccaacebddacbacbabedbbabeeeaaacaadbabdcacecbdadcabbaeceaddeeeccdccabedcddabdbaedbabbeacebeaeadaeadbecedcaeaeeebbddbbaeeaaebbdbceedbbeaddcdccccecedacdaacceeebebeacadbbcdbecccbcbacedbdebccbaedbbdcaebcebdbbebdcddcadaecacbedaecdebdebbadcebddbbdedcaedabcbaabeacccaebdcaccebccbbbcddeabdbbecaabeccdcccddbcababeacdebaeaabedbbabcacdaedcadabaecabcdcedeccaacbbbedbccdccedccebebbcebcbbacebcceaeadbbedddaedcbcaaddcdbdaaebabccadbdecdbdacaabbdabdacbcbceaaeeeddadbddaecbdcabccdbededddebbcaaccbeebdaeeeeecaecddbeedadcbdcbacaeaaccadceeaabadaecbdebabebedadebadddececdcbbeddcaebdaecdebccdcaedaceddceacaadcdeeaeebcdbaabaddbeebaecaaaacbecddddcaaeeaecdaebddcaceaeabebbebeddbcddeebadaaacdcbcccdebaabadaaebdeceeadecbcbaaccbedbecbabdcabeadaccaeebeadbeaeccbcbaccdbbbbbbcdabdedebbbbcabaaadbdadadeecbeecdbbeadadaabecddacbaaabecdcbecaeaddacaeecbaeddaecbebcbcbccdabedaabbbcdcedbbdceeacbacbdbaedeaacaeeceaebdcedaaaaadadbdeabcecaacebaeeeacecddbebdcecccceeebcaebbedbabeddcbbbbcaadbddaccbdddbeceabbbbedddeabbdbcdcbdcbabbbbcaacbaebaecddaabbebdddceedeebeeacdacdddbcbbddbacededaecdebaeabbebbdebcebeaeadacdebceecdebaebbabadabbeebbebbdebbaaceeebbbaeaaaecacdbeacecdabcbebcabcbbaeddeedeebecbddacdaaddeeaeacbebaacaccbbdecebdacaeaebbbececaaebeeeeaacabbacaddeaebdbcaeadecbabacabbbbebcbaaadaedacbebeceeeeceeddecbceaceacaeaeeccccdedcbbbededbbdabcadcaaaccbbeacecabebbbdbcadddebabbeacabceacbeaccbddebedeaabeacdedaecaadcceaacbeaabbeeaeeaacbdcdddacaacbbcaaaecbabbadabebcadadcacdcdbeadcbaccddcbdaaaaeadeaabceaebbbdbecccdbaaeacaacaaeaaddbbebbceeacbaaccaeeccebccacddadebcdcdbdeedeacdeddcbcdddcabaccedbdeacaeddbbadaeaedccaeaabcacdcdadcdbeecaccdcececebdaeccedeeadeddbaadeececccadedadbebedadacbccbabeadaeebcdbaeeeabaccceceadacdcedcceaaedecbedcaeacdeabebabbabbaadedeaadccabbeacabebadedaeeeddbdabdaceaeadceaecdebacbddeebeccecdeddcebedcaeadbecbeaccaedcecaacbcbbbdeeddbbcdacccaeabeeedeeebaabcadeeddddaaedbcaaacacaaadbedaecdaeeaaceebbddeaaecdbbdacbdedceacaaabdaebebecddacecacbcdeebeeebebadcdbdeedcacacdeeacadcebcdabaeadcbcbadeebaebbdbeaeabededbdbaddeaeaecbdbbdedebdbeceebddaabcbaceaaaaedececcbcbcddcaaadcadaeeabbaeeedcbbbceeeaeedabeaacedccbcbbaecabdbceeeeedcecdaabacaccceabdcdaeedcaacececddbdbebdddcaebaccbcdebabceadeebeccededbccadadacbcaadedbdbeaeebccdccaabebedbbcebbdcceadcdceeeceaebdbdcacbbedbdcdaacbaeaeaddcceaaeceabceedaedcadcdbcaadbebeeacdadcdccdaccbbbabeebacabddbcbdbcdddedbbadcaabceeeadadccdebbdcaadabcbaddbdbddcdbdeecdccaccecadabeaedbdebbeeebdecebaeedabecceceaecdbbdabcacdeeaaeabaaddeddbbbbddecbaebbbbccbcbbecacababebedaabccceebeecabbaaccebdcbcebadcdbcbddddabdcccccdedbaeebbabccddacddabcbbdcbbbcbedabdeaabbbdeabbbbaadabacbeeedcccceccbbbedaadedbbdeabcecddacadebdabecebedaceeebdbcacecdbbcdecdeeedaeebaeccecbedbecabdabaacadbbadbbcbaadcbbbbdbbdcbacbcedaeecbcaedcbaaeddeeeeeeedabddcaeacdbeccbabbcedecaebbacacbabbbcbaddddececdeccaaccaaecddabecbbeaebacdcbecaacbdcacbbbcdeddbcbdbebdadceacadbbbdececdabcecdeeebecebceecacecdccbabcaceaebeededdbbdbdeebeddcbdacededeeeebeeaebeecebabceebabdbdcccacabcdbbbeeeaaaeaddccbbccceac
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaababb
cddcddcacebccbceedcabdcddcccdbcbdbaabeedadebaecdeabcccebcdebdddcdcabaedccaeaaeddbbbbaadbbdabbeeccaaddadaedbcacaebbcaaccbacdbedddbadaeaeebbdaaeebbeeeaecceeadadcaaaaabeabcbdbdbaeedbccaeccbdbbbceebeebebeebddeeceacbecccdcdbebebddaccecdbcabeeaeeabaaaebbaedacabbcebeacccecdbcbaeedbabadcdaeebecabcdbbeccadabdccdaceeabbdceaabcceaedbcddaeabcdbdbaeedebbadcabdaaacbeebacadeaeeabcceecdbbcebdecccaddbacdadebcceacaadcbecceacdcedbbebecedabeaabaecdbcbebcbaceedacdabadaaebadaaeccbddcbeddbecdbdbbbaeeecacdcbeabbebbeacaacddadebaedcacbcdbeebcaaecddbccdbdcecdaabdcbcceedcadeaecaeedccbdeebcabbeeecdcecbbdebaabaebdbdcdcdbdcdaccacccdbbedbccacecacbcdabddcaecdeebbbaebebdbbaacecddcceaceeababbaacbababcbcebaecabcedcaacddccadbadacbbabdebbaadbdccccceacbaccbeeebcdbaebdaaceababebeddaeecdcdbcbdbabcdabcbcddcabaaedaaaccadebecdcbdbabbaedbbdbaddeaabacaeeeccecdaeceaacdebdeccbaeabccecbeeaeacbdccadbcdbaedbdedeccccdaceabcaadeacdbdecbabbcbadcadbaaeeedbaaebdcabedddebdcebccaaddbbdeecaeeabcacbdebbddeacbebeddbacacceabaebedcabcdbecdebacaddbaabbdbeeeaadbecceabbecaeeadeabeabaccaaedcdbecbaedcdadddbbacebcccbbcaaeebbabcddccbeedecaeecaabaecebbbecdbebaecdcaeccccabcaeaaaededeebddeabebeabcecabdabcbdbccaceeacedbacdbadabaeacedecbcbcddeddadaabedbddceedbaededbaaeaaadcbcaeccbaebbbdaddddcbbcbdbbaebabcbebabbaeaddebeeeaccbddcaaecdddaadbdeeaedacbeddddbabbcedaeaeddcdcacdbaabeabbbcadbacbadbeecbdbceeceadcdbadcbdabebbebabecaeaeabdcccdaaaeabaaadecacdddcacdecaedaccabececdeceabbecabcddddeeebedbccaecaeebbebecdabceaeaeacedcbeacbebbceaeddebdeeebaebadbbdeaedabdaeacdcddcccdadcbccaaceaceeceebabbbdcbbbddcddbdbddbacdbecbedaadaabdbbcadaadabdeadbbabdaeabdadeaebeceabaaaeaecdabcabaddadbceedadacbaccabaaaeaabbeeeaedccdebeccceaceadaecbeebdcbbaceebabbdaeaeedcaaeaedadedecdbdbbcaccebbddaecaeccadebaebdaddedbeddedecbaeecbbececaedcabbcacdaecebcbbccbacdecedbabcabbaccacccbaabcbcdbdbcccebcdebebbdabaadccbedbabdabbcdcbebbebdcddbbdacdbccaeadcebbacdcbeaeadceddceebabebeddbedccbdcbcbbbdcdddecaabecacbbbbcbcbaababaeccaeeddaeaccddacaebbebecdeacceecabbaddabeacdbbecdababecddcadabaaeaaacccbcbaacabbbcceeabcecbaabcbdcbcdcacddddedaedeedbadadcbeecdbccadeeabebdaaaedbddcbacdbbbcbeceeacdbcebcaeaeaeacbdeeccbadabaebbcdebccddaadcabeaeddcaecbcdcbecccdcecadebdeeccdadbebabaedcaabbdbcdcbaadaccadeacaccdcecbbeabacbdcceebbbbcbcededcedcccddbbadecdeebeadaadcdadcecbcdbbbceadddbbcdaadcdceaeeeabbdeeccdccdceabdbbeaeaaccdbedbaceebeecbeeadaeeeabcddaacccdacaeecaecbcbeeaacaadbebcacbeeeddcaddecaadbebbacdecbbcbabcbddebddcdebceeceaebbbcaaebdccaabeeedbbdbbedccaeaeeeacccaabeebaecedbecbeacebdbacbbdbaddceceaeaccaeaeabccaedebbbbdbddcdadedbebeddadeaebdeaeccaceccbeebdbdddebdebbdddebbeacbcbeebeecdaeebabeeedeeddddbbabaaaedeeddaaddeecedcdcebeecbcedbcddbbabaadedcddcdebddebaddedbbcceccbcecbcbcddccdeecdbbbecacaccdabbaeddcccedcadadaeaabcbabebbcbbedbededddcbadebdacccdcebaceeedbaaebeeaabdbbaacebecabcaabdcaaeaacbacccaaecbaadbbdccdbcbacbccebceeedddbeabaceedacbbbecbacaddacebccebbbdeddebddccedacebcdcdddccdceddbdeadbbddaaceeceadabdecbabcaecdbadbdbaaaacdcedbebbeccdacbbcdcbdbcdccbdecdedbeddebbdddcccedaeacdebbabadeedbacbccacddeecebbcdeaebbebcbcdaeddebdeeadcccabddbbcedbebebcaecacbbccbeeeedbaaecbdcaaacbbabecddccacbecaeeaecdedcbcccbcecbeabebeeaecdcdeababcaacecabccededdedacbdebccaadbceadeabcbeaddcadacccbedccaeeeabceaededaddccaedbddcdcaadadbbbedbaadeccaeaccebececaebbbaaddbddbdcdeebdddaecdcedeebabacedcacddbdadaddebbeedceacaccdaccebebdcaddcbdbcceacadacdabdecbdbdcbccdbdacbbdaeaccccdcebacbebdcabbcedbaebcdabeddadcdbcddedeceacecbdddaecabdbcdededdcaacbabbbadabdeeadeddeaabccccddcaecaacedaedbabcdbbdabaeebacacbeeaadbcdbeacadadbaaaeabdecebadaccadedbdddbbcabaddaeadeceeddcbacaccaeddddbecdbcaabeadaaeccbcbeceaeeebcecdbccdcaadbeadedcdebdacaaebacddeababcbcedebbaacdabadccbeedadcedeebdcdbbecaecbeecbccdeeacebcdbeadceeebcabbbeaaccedadabebbaaddbccbedecddcbbecabececacdaadadcbddcbcecadededdbceebacdcacdaadcaaebacbdabaebcdddeaeccaaaceeddbeeedbaedadedddaeceaddaecaeeabeaaecdbdbdaacacdabdddbacadebaedececedbdccaddbaeaaddadeaadbbdbcacecabcdcbcbabddaacdbeaaaaccbcaebdeeceeacecbccadbebebeccbdeacecbcdbcadccecdedcedcccacaaecaacedeeaabeecdedddccdeecbebabccabdacaedababcaddceabadeadacdaacddcdbedebbedddcadbbadbdcdacaccedaaabeccdebeaacaababeeceebcedaacecabebaaebdcccccacbbdaeedbbedeabdebacdecbcbcbeccabdedabbcdbcbdecadedeebebcecddececaacdbccedaacbdedadaaccbcbcadaecebeacbdecddddbbeabceadbbdccbadedaacebabedeadecabaaaccbeedcddaccecdbeddcbbddbeedcedeaaebdaadebddbbaaceadbbebaeecebecacddeeabbdadacaeababacadbaebeadaadebebbdbbdaeeaeecbbceadebdbddaeecadeacbebbbcabceccdebbcdaabbdcbbccecbbbdcecaddbddbccaaddaaccbabdeabdeaceabaccedeabadeeeddeebecabdcaedcbaecacadadedccdacdccbcbecaacdacaaacaacbadadbddaeeedacbeeecebcbdbebbbdbcdcbbaddaaccbdcebbabdbadbcdaaacdaecbeabaeabddaccbecddaaadadbecbddccdcdedeaeceeadebadecbddddabbebdcabebeaabbaaddedeaddabddedbaabbcebdaeeeecddecdababdabaeeacadabbeeeaadebcbaabdeebdbeacceacabdcacbdebdededbbdbbaaceddbceaaaeaeddccceccdaceecdebbeeedaeebbdeacbedaddecaebdccaeeececcdacdccacebacceeacdeebceceddeceebeaaeceaaebebadedddacaeaccdbbcbbbaeacbdecaaaeeddeaeaabcbcaceadcecaecacebbbbeeadeccdbeaedeabbbdadecbacbccabeecdeaec
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaababb
edcebebeecaceddaabcacabbeabccccddcdabcdbbcacdebeaaeadbbbabacbdccdcecdbdcecacacdbcecdcaaccaceaabddbacaedcabeabbecbebeeabdeddaccadceabcdceecadabbaaccaeeebedcdbadeedbcebabedeeedbcaebdbacddedebbadccabeadcedcaabadebccddeabbccaeeadedcdbaabaacdcedddbbbedceccccbedaeccedadcbabecbeceecaebeaaaaebbcdababdcbaeeebbaeeccbdaabdddedcddebbeadcbeaebbedcaaabadacacccedaaceabcccedccaabcdcaadbcbbadacceddbbbbdecbededecbcaacedbdaeadacadecdeabdebaddcaeedacbcbacdaccdceeebdceddcbaaeabcebbcbbceaebacecbadaaedcdcaedeeeacbbdccddeadabbaadaeceaadceeabbbceeeaceedcaddaabeaacddeabccbcdbaeedbcdcbbbaaeceaabedddcaeddbedeaaaeadababdecedaaecbcbdeaccbecdedacaddaacecedbddbeacccbbbcdeabddcaebbcceeeeeadadabedaddeebccdddcaadebdacabddbeaebdbeacaaeedbbcabdbcdeeabbdaeaeeebbeebbeecbeadcabeddabaacddcaedaabacdcdeccaeabcbbbdcacaedbabaedaecdbecaecddbceddcdacaecebaebdbabebeadedabaedbbcbabeeddcebaebeeeebebbcbcdcaebeaaddbccaddddccbabaebddddaabbbdcdacecbbaaeacdbaebdbbaaacbcadbbaeeccecbbadadadbdebceeebdcaaaaccbdddbbcbbebeccdeabaaeabacccaaabaeccaebcceedaaeddbcaabdecccdeabbeaaebaabaabbaccdbdaacacbbcdedcedaababbeaccceaaeedecdeeddadecaaabbadeaddaceebdbceeddbcbdadabeecaccceaeaccbdcbaceababbaedbbbcdaeebbcaeadedbdcccdebdadacdccadbadcaacebcddcbabadedbabdadbaebeaaabaeecebecdedccdeecdcdcdcabcccaaadbedcebeceaabccbbcedbabbceddabdebaccdbdeebdaebedeeddbdcbbbdacbcbbddbccededcbbdecebdeaaeeaaacccaebbadbdcdbedceddcaaaadeaebaccddbabeabdbeddcbcbdaebdaabebcdeceebebbcaceaaabadcbacceaccaadbbdbbeeabbdebdbbecdeacbabbeadabacabccbeaadedeaeecacedbbccdecdebaededacbaedccecddbbacbaacbddaeddbeabaadbdceabdbcabaabebdedbbcdcbbbebdecbeeaeedcabddcabdcebabebdacbdbbeabedaeeeddcdcabaadeabacacbddeaadedeeccddeabcbedaeebbaedeabbeddecddbadebbbeecbbcdbacebbccbbcbbaadbcaecddbccdbeebcbcccadcadccababbcbabcebaeaddbaddcbdcecdadbaabdeadceaedeecbbbcdbeeabadccbbaaebacdbecbadcbdcaedabbddcedadcdbcdbebeccebbcadbaeacbdbaaacddedeeabdbbbacbeacaeaceaeddcdeabedacdcacaccdedacdeabdbebdcbccbacadbceedbdcbbbdcdcdecebaaaddbacbbeaaddcddbdcdabaaedbcbebcecebdcecdeedabdebbdaaaeaceadacaceecedadddaddedcadeadaeccabbbcccbcacedbabebaaeacedcacabcbcdbacdaabddaadeeacbeaacbdbdabbcdcbdebbeceacceacdabacaedcdaeeececdddaaabbcbbbbdcbcbacabdcaeaaaddcbcabedecbdaaebbbdaeebdcbdcedbdeeeccacabceceadbebcdbdcaaaadabcaeaeebdeccbeedceacdebbddaaeeecaaaccaaaaabdabebebcdbcdebbdbdcebbeeacacaeeadbdcadbabbadaaaccebdaaceaecadbcbdddbebdddaeebbccbbbdaabaabaceadcdebdaccdaeeaebeedaeaddadeeddbebdbbaebcacdeedabcdabeaeeeebacbddceacdbeddeeaddbaddcadcbcacdebeceaadbeddbdabccdaaeeeeededcabdddebcababdbcebbcaadbdcaccddddababdeedbdeaddcddedecbccccedabacceaacacddacacebdadcbbdcedccdeecdebaeddccaecddaedaecceccdbdeeacebaebdacaeaabbccaedccbcbcadabdecbdeaecddeeaaabcdebcceebcadcaacbbdaaccacaeeaecbaacdcbdbdeddebcdbeceadcdccdbbecbbeaebbdbecdcdbbaecebdecbadcaaebccebdcedcccaacbabdaabacddbdbbacdacdbedddebbbbbeaeebaaedbacdcceabaabceaaaeeadedeecdacddbebddeebeababdeedccbcdcabbbeecaacededcbeededceaabecddeebeddaabeecdbbbabececdecdcbaecdeebccbcecedaadbdcbbbcebedccccdaaceebeabacddadadeeccbebcccbacbecdddcdecabebdddaeceaeadaccbdbdaabcaedebbddbceaeedeeecbcedacdcaeedeececdecceedbcabbddbbbacaedbcdbccadabedcdbbdcbeecdaadbdecbbeeadcdaeacdbbdaaabdcdcbccedbbcaebebdedcbebcbcdcbaddbbdabeaacadbddebbcbdbeedaaecadedabbeaeaeaeeaebcbebebedebcbbeaccedecbaddbcbdcbdbedeeedddbeedbaebadeeaecbacedceecddbdbeccdbcceebbecadecacdaccbdccedeedddbdceedbceadaccabbdadbbdbbeaccdbaeadbccdddbadeebabaaebcdbcedbeebcdbabcdbdedbaaaddcdeedcbbbbeacaceccedaeddaeebebaaaedbacebdbbccdaedcadbaadadecbacccbdaddeceaeaabadcdcebbdcdacccdbecacccccadecdadbaaddcddbaaddbcedadcccdaaeebbbcbdaadbbdbadeeaabcabbbadacdcaacdececaccecaceeebbbccebeabcbdbadadeadebaebcdccaeceeaaabbdccbbdabecdbeadccdeeecbaaebbeeaededabecaacdaebdedcedeabecadcbaaacbdeccddbdbeadbaaeacddcdcbcacebddeedeeacddeacaaeaeddeecbbdbebdbaeeebdbdccebedecbccaaaddbdcdeccaadccebaddbabcabebeaceadebeecccebcecdcddaaabbbcccaaddcececdbbececcedbadcaebbdbaeebeddcbaecbbcbadbcaddabeecacceeeddbdcacdabdedcbecacadddbbcdcecedaddceaeaceebbbeaeedceaacbaccbccdcdeababbeeecddcbedabdcecbadacaceabeecceddaccbbaddceecdbdedccdddaabadeddeeaaebceecbcebaedebdcdeedabdbaecbbddcddadacdeabdbedebeeeebdacecbabbddcacdeebaecdaeedbaddddbebeeccbcaedaeaeccdaebecaebabaacddeddcbaceaeeaccceeacaabcdebeecedaeeadcedbbacdbbbebabdedcebdbddcedbddcaaabdbeebaddacabacddeceaeecbaadbabeebadbadcdaadbdedecbbcbdcebdbcebdbadddacabeadebcecacdeeebbcbdbbccacdbdcdcebdeceeeebbcbcadbeabcaebbedabddbdabccbbaabcebbcdedcbbbeeeadbdccdcbcaaaabccacbeaacacecdaecbbbbeeabeadbcdeeebbcedadccccdcedbddddbebcdbaaceeedeabacbdbddededcaedaabcdcdccacaedadeacedeecabaebdbaaeceabaaebcdceeabbbcedbbabbddbdaecacbaabbbeeddacbcbaedcecadeedbbebcbceadcdddcebccaceaebbeebbedccdeaddaeabddececbdedeacaddbdeedcdcbdbdaadbebcdeacabaccbccdcbbcdabbccacbebcdccecacbbecddcdabddecacbedabaabcbcadccdedeaadabcdcdceaabedceeccacccddadbcabecddeadceabceeddcbcdcebcacabdbdbbeccdadacbacdebccbbeaacaedbccacdddacbdbcedbedeadcdeaabbaeccbbcabebdaaccceeebdbdbdcbedeaaddeeedaeaedbccedaaceceabeeeccbcdacdabdecdaeaebaecedaeaddeeecbeddadcedddccececcebabebbddcdacacbcdcaedcbcaacaaadabadeecdbccdbdebcbcdedacbcbaacdadccbeaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
ecbbbddabdbbaeaaebbaeaceaacbbddecbcebcedaccccaeaeccdedcbadaddeeeaaabcdcdbdeacdbaeaabdebdbdacebbeaeebbeeeaeddbadeeaedbadaaeedddbdeebebddbddeeaeadeddabdcbecdadaacddabdcdbedcdadcabdeaacaebeddcdabbedacebdbedbddcedeeabccdcadedababdecbbdcdbabbecdcabbcbaaddaaceccbaccbcadddedaedadedbcaaeccaddddcdbbbcbdcaccbcacbeaeecaccdbbcccdabaddaececcbeddbccddbbccbaadeabbbadceeabcdbccedeeccabedbdbddabaabaabaebbecebaedadcaadddbddddaeabebeedbeaddadbdedccdcdbcdcdccabccebabaccadcebdddcebdaebdcaaecdbcbdcdacebbacacbdbdbceedbbcccaadeeababbadebcceeebdebcceaedeccbbdebcdcaaecdddbecdddccddaddeebadbecebdbdeacceddadcacbacebecdabddaeaadeecbcbdcacaeaceadabaaebaccecaaedbbbadeebbbbbaacadecbbebeeaeedeacbceaaeacdacdacbaeddeaaaaabddacabdebebadccacbabeecdebcecccbbeecdabceecbbdccecaebaaedbbaadccbbbcbeabcdcdbbdccbebcabadceadbdeebdabececdedbcbeeaccaeeeedbaebadcbacbcceedaeaccdeabbebeedbcdeeabcedaababcccaecceccdbbebeeabbcceabbecdacbeecaaeaeabeeabcdadeebcecddceacbecdeaaccaaecbdabacedabdadddaebabbbccddbaaeaadcdccebdcecdebbdbeebeceaccaebedcebbccbbdadbeecdbcbabccebdbdccaebabcecdedabbcbbbdbdacaeccdccdcaebedadbbdcaeadddeedaabadbeeaaaadaeabebaeddbbcdeebcaadabaccbbedeabbebecaeddaebaddcabbbdddabaecebbdccebadaddccadbdadbebecedcceaeacadadcebdebbcbdddcecaebccbbbeedbecddccacebeebcdeadeebacaecdaceadbabaadeeebccbcdaabcddbcdeaacdcdbcccbdbdabcbdcebcaacdabaaddbdaeeddeaebcacdaaddbceceecacbcbddeadedcabeeededbceccdbdcbceadcabeabceebcaccaeeaadbdaccaaccbaeabbcaaebeedacbdbedcccaeeebaceebbdcecdbeadeeaeededcbdacabbcebecbcccccabaddbaedccedcebdedddceabcaaecedbdbacdcccddbedddaecbdeedcaedabadedaabacabdceeceeedeacbaddacadaddabcbbcaaedbdbbbeabdadacbcbeccebdceeeedccbaddedaadbcacbdddabdbbdbeaccceaddecbedceddbebeeddedadbcecbbecdccdecdbaeebacccccaccdbbaabdaabbcbdcbdaddbababdacaedeebccddcadebacbccddceedebecbccacbeabedadccbceececccabccbdcdeaaaadbaabcdedddebadccdbbaaeadbebcbedcabaeedccadbcdbdadbdbcbcebbccbbaabaeeecdabbacccddeecaecbccbcacaecccedbdbcbeccaaecbbedbdbdbabeebcbdeeadcecdecadeacbddebadeacdebeaabdbebdcaccbbeddbacdbcaedeeccdedeaacbbadedbbecbeabceedadaddaebecbeadcebdbeddaeccdaddcbeddacadaebdcdbaaedabdaebaeacedbccbbcebcaaaeecbaeaaccbbedddabcabbcdeabaeceaaacccdeadccacccebbadacedbccdbdbcddcbcaeccdbbdacdcdacedceacabbaedadedebabdadebcddbedacaeeceecccddeeebeeddeeaaeddaaeebdaeddebbbcadaccadceabdacccadebbdaedbddbaeebabadbdbbdbbcbeeebdaceeeeadabbdaaedbabdaebacebedcbcaaddaaebaeeaebdcbacdceeeccaabacdecaddaebedebeebeaedacbbdeeccdacbbcbcdbaebaebeebcdbdcdaedbdadabecbecbcbcdcbaaccadaaabdeaeeebeaebabacebdacaaebebbceadcbaadcaebbdddecaecabedeecadebecdaccdcacaadcdceccabeecdebdccceaedbebacccccccecedbddecceccbedacedbaeedededadebccecaeabebaaabdeaebdebdaeecadadececeaccebbbadcacbcadcceaacdeacdbeaddbbeddcdedeadecdcadebbddccedcebecbbbdccbcebdeaeaeeeadceddbbaebccbbeecedabeaecceddcbaadabbddbedeedaabaabbddbabddbceddbbdddcedacdedbcaabeceebdbbaaeaeacdeceaeaebcecdcdccdebcaabbcbacdbcdcebccebceadaabccdecaacedaabeccbdaacbaeecdbaaaecbabebaaaeccbbcabdeaaadebdbeabdddbcbdedaabadbaacbecbaebecdcddcdaaddbacaaeceedbeddcccebaeedbaeededbdedbebcbcceadbbccdeddaddbedeeacbccaeaeaecbdcbecbecabcdacdadddadcbeebcccaadeabdabdedddedaebcaeaecddecadcdbbeedbcaeeaeaadbbbaceacccdaabeaacaacaecebbedeedacecedcdaedcbedbcaceeeaddabdbadcdeeadacebaecacaddeadbbebedbcdebeadadabdedbdecbcedddcceaccedeeebbaaddddeabaaabbadeebbdedecaedcabcddaeadcedaaaccdaaadacaabbbcbdbedcaceabbccaaecdaddccacdaeaaaeedabcbabaaeccaeacdebcebdcbcadebdebcedbbbccbcabaaddccbbaaaaceedcbccdecaadbabeadddeaebdbdbabaccebcdcabbdbcadabbebaadbeccabcbcabbbbeedccddedaaeeedbaeadbdecaaccebdadceabaddededaaabbdcedcebdadcdddcecddbadbeecebcbdadadaceeebbccebdccebacabaaccddbadbadedbdaaabccdadddbcccdddbcdceaeecbdebdedecbbccbbaeeaddcbbddccebcaeaaadccaadddcceeaacccbebadaaadbaedcabbcdbacbeccdbedbebccacbacdceeadccdaebebaadbbbeabbdcceaedddbeecbdddbeadedbeabaecaebeddeecdcaacabaddeadeccdeabcccebadcbeeabacbcedaeebecbdececceccabebcdbadadbccacebdbdaacecdaebadddddaccaddacbbddcdadbabcbcceeaebddedeacdeccebabdbdeaecdcbededaacccbaaadaaadbeeddeaaebbacbbedbabeceeceaadbadecbcedcabcebbebcbaacbedcaaaddceaebccecaedaaeedbbcecededddabebbaaebbaabcdaeceeedeebacdeedeedbdeedbbbeecbadbdabddcdeccdbbbeeddbdecebbaccedeedaceadaceaebbdeedbdbdbaeacbeaacbaabccbccdeecdedcbcdebeebcceaedbcdbacdcecbaaceececcbbcaacaedcdcaecbcbcacbddabcbadbbbeeadebacceddebcbaddecceccdccbdcddcdaddbaceacbbedcbbddbeceebebeabccacaaaadbcbccccaceaecaacecabaeebacdaeacdaaecdaabbcbcebadeebbeddcbbbdccadeebacbbdabddcbaaecedeabcabadeeaccaeadeeccaaedbadaaecececdbceeceadbceebadbecabaceebcbdeccababbebcbdedcbacaeaeabbdcbcbacdceacdebcadccdbacbdcbeacceabdeceeceaeedeabaecdebeabdeedeedadcddacceeebbcedcacedddbbbdeaceacdbaacbedeaaabeaceaecaccecaaaccdeecaadabbcbebcbdaaabbdcbcdeeccadededadbaedeaeaccbcbeeccdbceadbcdcbddededdeaaabcbecccceeaaadeecaddaeaadbbccedaaecbddcdcbcdecdeccecbaccecceaadedcceadaeddcdebaccaaeeeaadbddabdbcdbdceaeabbdbeeaaccddedcbabeaccdbccaaeedcbddbbadaeabcddbcadaabddabbbcaceadacbedaabedcebebaaedecdbcbcbbabdbdcaebbcdbdceddcaeabccabcbaabedeceddbadcacbaabadcaddababeaadccbbbadbaaeaabebeaaeaaaedaeeaceccecedcdbedbacddcadccccaaceacbbaabeabbecedbdebacdebabdcaedbbccdbccbbbd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaabaabab
aadddacdbbbbcbbaaedbbaeeeaeebaeacddcdedebdebaaccdddeeaedadbbaacababbdeccadcaaedaeeceddeeccbcbdbdbdaaccedecceaebedbdaecbaddadbdeebacbabceadccbcbcbccecccecebcebebbabddabdaeecbaedebdbeadbaabacabcdabcdcaadeaebedecacebcbddddaecdcbacddeedecbdecbeecdcabddeaedaddbedbecbbbbeabddbbacedddaddabdeeecdeceeaaebdacbbcbaaacdaeaceaaaacdddadaaebacadeceaaabbcecccbcecaaadcebaaabdeadceddebdacadbacaedbadacadcbecdecbdcadccbaddcbaaaddbecabbeddddbdeccbbdcdbbdaccdeeaaedaeadbcbcecdcaeaecaebebdcddcedbeebdbddedddddbdbccdbacabcecebeebeecbacceeabebdeabddaadeedadceeaabecadaaebeebdbacedbbdbaddbaacdaadddbeaadeeeceeebbcddedaeadbccdeadabcaebcebbcdacadddeecddecbabcdbcecddbbeebdacecabbdccbaabaeceadbebceebababebbadbbdbdebbbeddcecdabbbbdcddcadcedccecaceecddbbcadaeeccaecbdcbecbaedcdcddeeceececccededceaaadcaaaebcdabbcdcddeacbacabeebbabeadcdcbcebddcbebebcdedcddebcaaeeedcdabcbcdbdbaccccdddaecaeddddccccddedababbabaabaeedbabaabdeddebbbdeabeedbbbddbecbaccbeaadaeceacacbebaacbdbeddadcdaaadaacbecbdabdececdecaeadeeacbacbdbdadaadaeedcccaabcbbebdedebebcceebaaccdcbaebaeaaaebaedddcacedaebddcacbaccaaecccccadcecdbbeacaeacdbacdceebecdddacaddebabdccbdadeceebddccecaededeaddecbbddaaacbccdbcbeaaedeabdbcdedbacbeeccdeccaeddcdaebcbdddbbcccdcdcaabdcbbdabaeccecedacdcbdceedaaccccacddaacbcadceaabdddaaecaeccdbacccceabcbcbebaedbbaacbcedeebddadaeebedceecdcbcddccceedbaeaebdcdeebbeceaacddedcceceaaeccabaaeaedddbcadebdcbaeecdabcebeebedcadabbacabbbcdabaebbddeebccdadceebcbdebeadeddedabdcccedabdabeaacadaadedebaadbcdeccaceaebbaeabcddadddddebaceadacabecbaecdeacdcdbbeaacebbaaaabdbabcacaaedacdadaccecbbdceabbbcdcacedcaebeaaadabacdadcbdabccbcccaecbcdcdebeadeebdaaccacdeabcabbbecbaedeaccacaeeaebedbcaeecdeeceaededebdacddaccbabebadbbcbcebcbbbdaccbcddabcabbbccaceddceaededbadbcbcacaeebddcccbcccaddbabedadaedcbceecdcadeedccecaeabdbbdbaaaecaeacdbeaacdcddbecddcacdbccddcceeaeeabbebbeeadedaadccaecbadeabedbedeacdacbdbbddddcdedddccaaecdbabddeebeebbdbdedbebbdcaeecadecaccabcabbdeaceaadbedaeaabaaedbedeadeedcaaccdbaaacabecedabdddeddbdccaaaddaaccdadbbbedbaeeddbadaedabdecaeedaedbacdbaabbeaddcaaebdcaceeaadaaecbbeeaaddeccbcbcdebccebccbdcbdbdcaccdbaedbbebaddaeaccaebccaaedcbceddebccbceabcbcdcdcdaaeacbeadeaedeaebaddbdacdaccebceaabdadeccecdedabacadbabcecaacceceeaecdabcdcdaecddddcabebeecaeeddbbccebdbacdecccebbadbeeedbdaeabbdaadedbdadedcaabeacbdaabbbaebbcebcaeeabcbabaaaedbbddbdbeabcdecdebededeacabcbaebdebedcbebbddebacaadcbbebbdbaebceeccecacedceabecceecabeaedcebcaedceadacaaaceecaeedcaabcadedbacdeddacebdedadedbbcddedbeddeeccadbaccdaeedeebcaebaaeccbdaadabeaceccbceecdddcabbdedccbcdcecebdbbeacbcdececddeccdcbadedabcdbadabbacaeedddeddbdbaeacecbbbaeca
aaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaazaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaabaaaababb
cedcedaceceaabdcebdebbeecdcaccdeeebabaaeebaccbecdbdbaecaabaeebeedaaeadbdbecdbeaccbbdbdcacadcdcbdcadbcbdadbeabbeeacbddbbacacecdbcdebcbdbaaedccaeadbebdceecbcbdbacceedaedeeededbbecdececcbaebecacdaabebeddeaabccbbbdcbdccbbdbbbcaedeeabbbbecdcccbcaeecbeeedaebaddcceacabacaaaeaecededeededddbebbacbceddcedabcdcbebbbaeeacccacbcebadaacaaabbbdcdceebdbaaedeaadddceeecbeaedadcbedccedbdaeabcccddcebbbdccdeaacbaaaeeedccecaadccaccacdeeaabdecabaaaaeccdccbdaececacebedadccbccaaceadabdebebcebdbccadbdbacbbbcbaedcdddbbeacabdccdddbceddcceddbdbaadcaebebbcaaeccecbddedeadaddebcaeeecaabdbaabdcbccccaabecbddaabcdbeeacdabdedaddbdcececccddeebcabaacdbeedeeceeaedbbeccebbddadabcedaaccebaabdebacabecbcbddcceabdacbaacabebbbbeabeaaeabedbcbececbaddcbacdceadaddbbdadbdbdbdaadbeabdabeaeaaeeacdaaadadbbbeacdadebdaeddcdcddaabaeeddedabeccaabcccaddabcadaacbcbcbcceebceadbcdbebaeaeebaeaeeebcedaadeabcbaaccadadcebdacddeedbdcbccddcbbeaebeacdccbbcbcacadcdbecbabccdbddeddacebccaeabbbeadccbabdddceaeddededabbcaecaebeebdabaceadeabadebaaaecedcaebcbeeccecbceaaceddcbebddeacdedcddeadadecbecaddcdbbedbcacaebddadcdcaddbeaeebaddeeeedebadcbdcedbebebdaeeadceebeeabcaaccadceededadceebbabaabebecedbddbacdcccbedcdbcbaedeeecbddaebcdcaebbccaeedacbeedbeacceddceadaddbdaedaeccdecbeaaacbacceabeaecceedccdcbceadaeeacbdecdeeaadeeaacbeaebcaccbeebddddcececabecbcabacceacacaaeceeecdcebcabcbeedaddaaeababaabccbdeabaebaadaaddcdeebcbaadabdaebaddcccdddaeedcababeacebedabceddbdbdaadccbcbedabeddccaebcbceeabcbeababbceadbabcacbcecceaeecedaaaadbeebeabdcedcdbdbecaccadbecacceadaaaebbadcbcdcbacbcebaadeccceabdecadbaedeabcaaccaaddabccaaecedaeebebdbcdbebdccbdaaabbeedecdaeebbcdcbbaedcddaebdbaaedbcddadebaaecceea
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaa
accadbecadaecdecadecaabbeacabcdbcdddeddecbdeedeabceddcbdacebbbaacbeebbedbbdaeaaecaebbcddcbbbabcecebcecbaeebeabcccabacccedadbdbcaebbdebeecceeeecabbdddbbeebecdbcedbecaeaacccddeebadbeabdbabbdcddddabeabddcadbeccccecadaabaddacddccaeddbcdcabddeabddaebbdecbceceaacdbacaeabbdbaedbebdaeaaacbaddddcceddddcdabaacaddbcdbbbabeacdcdbbbbdcaacbdabbadddaecdddacbeddcaebedadbbcbbcdddcaeeadbbeaeddcaaebcddccccbccaddacbdddebdbcdabaccbaeaedccdbeaadccddbaedadacaacabbeacdccccaebbcedbcdbbedbeaaabdbbdeaceccbcaaabedcacedbadbcbbcaaeeeccecddaccabcaebeeabdbccdbdaaddcedbaadeeaeeacccebcadaedcebdcdbbcacecdaeadccaacececcdaedbeaedccbdcbdbdcacddaddceebccbdecddaacbaccaecacecebacbdbdabeacdcbdcdcdbecebdccbbcecddaabccedbbaabdcabaadeeebcdadaeccccccaebdeabceedcacdaeceaecdabcbaddadcdaabcbddeaecaddadcdcebdcaaeeeddbddddacdddddbeababbceccbddbbbbbccdeeccbedbeccdaadacbcecebedacbbadddacaaeedcbeaacceebeabadceededeaeceeeeedcecddbecbcacacbbcbcabbbaeeedcddbceddeaaecacdadabeeeebbaaeadcaaabcbbddbedaabcacacdddcecdddcaabdcecbcbeaeccacdecbcabcaaaebeadceecdcbbbcecbaabeeadbccccaececcdadebcbdbadccbcedcabaaeabadcceddcccadbdbebdabecdeabdecbcbcadddeaecdaeaedacabebaedacdaeaaabbbbeeebcbdeedcaaadbdecbabacbbacdaacaeedaedabdaedadcabcadaecedcbcebdadedecabaddaebebbbcbbadedaadcbaeaeacedbddadabdecbeebaacbaeebdbbdecdeedcddadbaeccceaeceaebdcdedbadecbdbedeebcbdeadddabcdbecedaeeceadcbbeeebaedcbeeaeccaaaacabdeebdaaccdceeaacecbcaeebdedcdadddbbbccbaecaacaddecacbeddddababbbccaddceabababcbaabdceaeccaceecbeccdabcaddbeeebbcaacaaccbddbeaddaeaeeaccdecbdecebbebbddddbaecacbdeeecadaebcaeababbbecccdedeeeddeadcbcbbdcadcdeddbccebbcbddecacccedeadabdbaacedacececbceaacadaccbddedadedcbdcbcbacceabeaacbbccbdccaaeaddbabbdbeddbccaebabacbececeeceacaeccdeabdcaedccdaaccbebdaaebeaaebdcccebdbbcecdcdeeeebbaedbdbecadbadedddddabcceabbaabcbeeddbcdbaabbededaaaeabbcddaccbddbdabaaebdecabdebbbadaccecedeaeaebdbdbcaeeddcbbcbbabbbeeebacdacbebadeacaedabecebcdcbbdeebcdadbecaaaebeeadeaadddcadebbdeadddbabddccebdecbdbcaeacaccadbdcaccbecaceccdcbadccebbdccababdcbdddccacaeaecdbcadbbededcaaeeecadaadaebbdcdaaeececdededaecdccadecdabebdebcaedcbdecbdaabcbadbecacadecdbedbdbcdeccbaacececacecadabadedbcbedbaecacccdeadccadbebacccadbbbddadeabedbdcaeaaaedceeacdddeeabcaaabbedbbabcebebabeabcbabdcbaaeadeedaebddcbeeadbdcaaddcbedaeeabdcaadadebeadecadcceababaaeaaecbababeeedcedcbbdcadadebeabcaadecaddbddddabecbaceeddbbeaaedeaebcdcadccadaaeadbbadaecdaaadbbbbeccceeeabdacccadcbccabbdbeaabcddbaabeacdebdcbdbeaeeabcadbabdcbebeccdedddcdbcccbbcddeeabcadbcdaaaaddcbaceedbaedaeadcddbebbeacbdcabdaeabbaabcbadbcdbbcbccddaacaadcebebbccdacdcbeddcbbaadabbceeabedabaaedbaebcddebcacbedcaceeacbedadaceeecedacccdcdedceeebeaadbdbccccecbabdbeceaaddcbbaeeacaecabeaecdbdbdddcdeeaeecedaaddabdadbcdbadeabceabbecaeabeabaebcaacaccadcaaeededbbbbeabbcedbdceeeccadcbeeccbaadadbcaddcbdcbddadedbedcdcaabcaebbacbacaabdcddbabecedbbcbaaddcbaedcdcdacbadcbbeddbbdadcdabcecdadcbeeecaeddbcbecdbeebadebcbccaabbbdacadeccadaeabeebccdebbeeebbceebbdaaedbacbdbcbadbaecbddeccbdeacadbccceaeeabdcaaaedceadacacdbcedcadabdeaeabbcbcbcbaacebcceaeeebeabeccbcedccdedebabedbbecedbaabdbcbdddeeceecdcbabededdecabaeeaaddeaaeacccddcdaeebabeceacdedceeabbaebdabaaadddadeceedbbbbceeeadbbcaeebcbbcbdbaacbeaeeabaabdcabdabaacebbdadaebeaaadecdccacecaadeedbcdadceedddbbcdcceeabddeceaabcaabcdbbbaabccecadbddcbaebcccbeaaaebddbdadbbdeceeebdddbddcbeceeaedbcebbcacccaccdaedcbbabadedeeaeacaacadeecaeddbabbcdedaddcbceadebeecebeebaecbbdccdcbbbdebbeeaedaaacaaebdbebcdeddceddaaccceddbaaaaceacdddceedecbadbbdaaaeadeaacdaabbdcaecabdccebcaaedaddedcccecaebebeaaecedccbebbecddaecbeedbaccbaababdaacaabdceabaedeeacdcbdabadaceedddaaccccabaabececabbedabeeeadccabbcbbdbcbcbaceeeaaadcdbebbbbcccdebdecdadbeabbbecbceaaabdeeebaceacdbeccccaeaebaadddcddbaebebedcaaeedaabbbbbccecaacbddedeacbceaeecaebbadedeeebebbcbdcbbeaedbebccaabedeaeecbadccdcbbddcddeebbeecbbecbdbbbdbdcbbdaabcaaabcdbcdcdbaaabccdbcacbecaaadecceebeecddbcebcdaabddbcbddabbcecadbbacdd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
bceeeebcbacbdacacbaadebcecbaeecccceceddcbcbaaccbbeaaeecadbcdeaaecdcbdcdebcaaedcdbaddecbacddcacabcbbcbcdaedccbecebebddddedbcdddaaaaddabceeeadeecbdaaceddcccabecebecadcbeebbbadbacaedacacdebbaaddeddebbbacaebeebcaceeeeccccdcddaecbedcbdbeeedbaccdeccaebecceccaedaddcedaabedabcbabedbbbceadaeccdabacdbcaeecddaddeecbcddaabcdcdedbaadccbebcbdabdbbacbdeecdeabacddbaaeeeadedbcaadebecbabeaadbecebcecedbedcaacccaeceecaeeeeabababceeeddbebbaebbbbdcaddacbadbdcbdbdcccbdadbcbebaeedeccecdbbdabbaeeacdebedecdceabdaaabcdecbeedcebeaacddbcadbeadaeeaecbbdaccbabbbbdabecacbcbbdcabcdacbddeceeacdaccaebabbbcbababbdaeebaceebeaadbeacbbdcbaecaaceccdebcbaedabdcaaccddbbedeadaebedbbbabebecbcbdccbbbcbaecacacbbbdcddbdadadbaceccdeddbaebdcbdabccdecacbeecbecccadabaeeaedebdcdbbdeccbaaeaeeacddabcaeacadbebecaadbdedddcddbdabaaddddbcdaaecdedbedcdccabbbabdedccaccadcbdeacebebeebdbcbebdaedacbcadddadcaadaabbbbebadbeaaaaaacadcddcadcdaaccaceabeeabeebcaacdcecaeebbdedeaeadbabeeaeeeeacbbdcaecebedacacadcaabbddaacacbddecaacdcbaddddaceebbbbeedcbaddadadecaebbaebaabcccebeaadaedebacbabdbbecdcaecdceacaecadcdacaaacbebcddaabbbdcaadaaeebacecbdeccccaabcbaadbcbccebaccdedcaaccdbddececebadebaebedccaebdcacedabddbadabebdeedbbceadeebaabecaeedaedebbedcadeccbadbacbeddbdedaebecddbbbcceeeeacbcaabdaaeeceecabccebddcbebbceebcabcdeaacaedecbccaccadccbdbaebdacdddaaadbeabdbaaebabecabebdcdabacdabaadadeceeedcdadcbcedeebbcdcccaeeceecbacdcecaedaeceeededbcdbeccbcbbeaecaaeceedebbadcacaddeddcceddeceabacbdcdececebcddecbcecedcbeacebbebebbecdacebedccaabbedebaabedaccedabcddbcbadeceaaeecbdeedbedbcaeeaebdddbcbdaadcbddeaaaebcdaddbceabbcdbdabcddbebdaaaeaccaeaedcccbdcacbebeeebecceaaececbedaebedcbdacdeadbdbddabdcdcccbeeecdcaaddbdcecedbbdcdecebdbbbbeeeececeabededcbdddbcccbccbccadcdbcccacdebcdadcbcebbbddbbbbbadddabdbdbedcaccbeedeabebcddeacbebccddbbcabdbebddaadbaaddeaeddcbbcbcaccdabeecceacaadebbcbeaadabcaadadeaebaebbdeecaccededdbbbbaabaedeceeadcbbdddadccabeedddddabbcabdeccabcddcaeaccdccabeeebbedddacbebbbdebdbddbddecaabdeabcddbaceabcbbdadadabadababcbddeecabdcccebbeeaeddaaeacecbcbadbcbaeceaceccacbaeedcaecbbcccbbcdbceebeceedadbbdcbcbecbcaaeddabcdabdcacdebedbcceaeeceecebbbbedebdcdaccbadcabdabcaebbadbbddbdedbbbbdbceaeccedaaecbabacbddbbccadacccacbaacddabcdcbecaaebeaadcebadddebdeaaeabadbaaacaddedccebbbcadaeaadedcdbebebdaabeddcaccdccebbdcadaadccbbaecebecdaaabcbbdcdbeecebaddcbdededcbdcaabacacebddcbdcadcaeeddaccdcecbbdccaeacccabdabbeeebcbaedcbcbcbeaecdaddcbcbaaedabebbbdaaacaeeccdecdbdccebaeacebcccedecddcedadcadeecaaebecdbadbaeaddcaacdecbddcaaddabadccdbacaeaeadcdbbbcecaeaeaeadebdaeebebbaeaeaecdbdadbbdbadeedcdeceaeaeeadedaccadeeadebdcbebdadecdabccdebcebcbeaddcebddbdbbadadbcaebcbcabeeabbedaadbcaaaadcdbcddbbdbdcbbeaadeeccaaeaaddbeabedbceecccabebbdeacbdbebccecbcabbabdddbbaedbcdebccddcbcaaabccdbdadddaabebdabaecaacbdeeadebebeaebbbcbeecaddbeadbaaeeadbabdeddbbdaaadaeeddcdecdececbccabaceacdcebaecbeedcdcbedcdbbaebbabbdcdcacddedcbaceeadbecdeddaeeabaadcdedabcaedbdaeadaccbcaaebedcceebdbdddddbccaeabeebccedabeddddeebbedbbdbccdababbedcceedebbdedebadebddceabdcdacdbbcceeacbdacecababeecebcbeeddeaabcdeabadedebebebbbedbcceceeedabdcaaeeadebeedbaecedeccddaccdadbeedeccedbecceddcbcdeeaeedadeeadbaebeddcccedeabaeedecacaecbabcaeadeabeedaadbabeabbbeddcddaadcadcbdbeaaccebaaeacebedbacedeeedbeaeeeaccabadabeebbcdaacceabdcedbceecaaecedeaaeccebeaeeaeaadbbaeecadccbdcaacbedcbcacaedbaadebbbddccebeedaaccbbedbdcdcbbdbbcbbaecbecaaaddbdbbbbedebabeccabeacebdddbdabcacdbedbccedbeeaddebacedadebcdddeebadcddccbbdeabbbdedcbccadebecaccdbdbccbacbdccbbccabbebcadbaecbccaeadbbcbebbdbeabebdadadddedcdcddcbcecdaaceeeabecdabbecdbadbbbcbbbbebabebeecdaecdbecbaeadebdbecbcddaccdaaaecbdbcbacceeebeccbbeabeaaaabdaaacacecdcbebdccbedbabdebcaadabdbdaabeebccdeaecbeeaabecbdabedbdedbaddadaaddaaaeeacadededbeabaabbbbabdbebcaedcaebbccdddbccddbccbbbbeeaadaecacbeebacdcabddaadebcbeaeecdececdcadbccbedbeedecdecaddacecadaaeedbbcaedadcbcdbbeadcdbecbddaeecdedddbadcedeeecebabbbdbddacebdeeebeaabecdccabebbdcebaaeebebeddcacdbdbbeaabbbadbdebcbdaaeebbdeaabbbddddbcebeecbbdccecddeddddbeabbedeceaedabdbdeeaddedaebdcecccabbbcceceebcbccddadddaecaeaedadeaeeebbedbbcebcdacadcacdecccbddedcedbaadeecaeeaceeeceecacaadcdbbbaeccaceddaebebdbcaccbcdbbbbecdcabecaaebddaeeeaeadecaeaccdcaebdecccddaeaeddeedabeaecbeedeaddcdcaabdacbccdddbeeccccdabaceaecadeceeaeecbcecaecaccbecdabcdbbcbeaabecaccacccdebecceaadadbdbcaeaacdcbdbcbadedebacddeeabbeaeeebac
aaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaabaaabab
abaaeeeecbbcdcceabeeabcacccedbacbbcadbeaeacabdeaccaceebaadaeaccecdbebdadeedaadbcbcbeebabbecaeaaccecaaaaeacbcebaddcaacdbceebbddeedcdddbaaddcbebcbbdbeebbbaeaeedbcababcbcaecacecdebaccadccabeecdebaabccbeadecedaddaabadadcddbacccadbceccdeeeebecbebdeaabecbacdbdaabdbbebbbedceccadecbdaadeeaaaddaecacadcbbcddebbdddbdbeebcdebdedebceeeabecebbdeddabeebadeeaddcccaebdccacbedcecbcadbdeacaadbdbaeaabebdbbcaedbeeadbabcddaddcedcebeacaccdebbecaaaaddcaeababcbaabdecedeaedebbddeabcedbebbbedcbdacdbdebdeaeaccdbaaabdeeeaebbdeacbccdbebeabecabadecebceedbebabbbcacbceaecabadcebcebabaabcbcddabbcabdaaeedbecccedeebbaccacedcdbbdaedbcdceabcbeccadacecacdbaeeccdebeccebbceecaadeedceccabedbcdceacebddccecdddabeaeeebbdaaeabcbbaadcccccedaaddcdebcbcbecbdabaaaceecadacbedcdedcbeeeabeedadceabddeaccdeabdbddedadbecbaadabdcedecadabebaabebbaededeeaeebbdecadeadeceeececdbbaabdedccbdeebeecddcacabcaeabccddccbbdddbebcdceceabccadacbacacbcaebddbcadadabdaebeddbccebbaaabadedbadbaedcccaacdcdddecdccacbabeaeadccddaadadeccceeccceccaacaacaceeaecaabcedaebcebdadcbcccbbeeaabbdccedbcaccbccededcaabdeedcdabecbedeabcebccbbdbbcaeebcebadaebbaeaeecceebbbaabceceaaaaedbcdbcacaaaeebbabdcdcbcedebbacddddbbcacadcdbdecedabdceccaaebaabaecadacbabadadadbacecdeeaebecbdaeebccdddeeddeeaacddceaeedacdeabdbaaaedcaccecdbebacdcbcccebedcadabeedeadebcbdacadbaabbeaeadedadccacdccebccccbeacddbccaedceeaaccebdabdbcabcecaeededdcbaedceceddddcdbaadbcabeebbabbbacddeccbeebcdbeadeaadcbaaaddabbccebdcdbaeaececdcadddbddcdacabbadbabdceaecbcabcbaeecbccdeaddeaabdccaaccccebbecabebceeeaaebbdaebddadaaddaeeaecadabddbceedebcadcaaceeadbbaaaeedebeddacccedcdecdceeceeabbdaecbbbbebeeaaedeeebbeeebbaeaccbbbddcaaeaeebbcacaebeccacbddbeddeeadcaeacacdbbcaeadeeaeaabcbabaaaedcabbdcddaeecddbecdadcdedcacbbadcdadbabdcbcceecceabbdecceceebbeeeebcbdddceeacadbcedeceeddbaedebbadbacdbcddadacadddbdeeedebdbcdccddaadbcecededecebbbbadbecdecbeebeeeadccacedbadecbadababeeeacbeababaaeabecbcddddaccacebbebbbaceebddeeaececeabcbbdedeaeeddcbdbdabeddbdbcedcbbdebbbecdabdebcecdcdbdedcbbaaccedecbdbccadbececbbcaeedbceddaeaacdcdebbcddeabaddeddaadeebacedecdaabbcbeaccdcebdeaeabccebbdeebebceebdbdeaebaeebedeeeecebeccadddaaaceaedacbcbcceadbaedecceedcddaecebbecdcbbbadbbbbadcbdbabdeaedacbaaecaecbdbccacdbaebdabbcebddcecdcebbdaddcadaeaabedbccbdabcdaedcceaabceaccadcebddbbeaaabaedacaedacaaddaacbceaddccbaedbbcdedcecabbbceebaaabbdbbaadaabdccacaebecdecbeccdcdaacebbeacdadbcddecabaedbbedeeaecebcacaeedccbdcacceebcccaaaacddbbeacdcceedcdceeabbebbbadbbeecdceeaebabcddaceccbabaaedbeaeabdeacceebacbbdcdbbcaaebeecbdecaeeacdbdbbdddcbebadccdeeadedeeebceeedccabaadcbcdecceaaeabaabbeccdcaeebbaabcaeebdceaecaceedcdbcbcabbdabbabceaebddcdadceaccadcdbbadbdededebbabbdedeebedbaceeaebaaacaeacecdeebaedbebaccdcadcccebaeeaadadbbbcddbdeaaeebcbaacdabcaeabcbdedbadeccdcaceeaaaecebccdddcecedbcaabcaaddbadecceaebcdaeeceeabedcceeaabbdcaedaaadadaebcdeaacdbbdcaedaeadaebedebeedaebadbbeacedccceeebedabdebbddddeebdddaaeaebaadabaccebcaacadadcbdbacedaedcdadedbdbbebbdcaddccaaaeddacedecedeeaaeeecaadeadedecabbbeeaeceaccceaaabedacaaeecbcedeeebcbdcecabadcedceebbdedebcbdabebdeaabdadccacddbeddcedceabdacbadacbabbbcedacbdbbeaeddceaccccdceecdeeeecdcbeeaebebbaeabedaaaebeaabbeabaabcbacebccdaacecbebbadaccbdeabbcacbbdedaebdbecaecbbcbbebdeecebdbbdeedddebcebbbbbadeadaabdceacdadcbccababbdcdcccbbcbcdbcadbebdedddddddceeccaaccaaccedecbbbacacdededcdbbaecdeddcabedccebbaddebededaddbaddadeeedddceaaaadadacbdeedccdbbbcbcadeaaaaabeeeeadbeabebcedbbbbeeaebeacbcabbdccacddcececadecdeccbbdcdaccaeebeecececadedcbdeeedccbaaceccbcedbadcccabadadbdcabcecdcaeedbbebbabeabaacdeeccbaadaedcabaacbcebdccadbccdddbddddbbbaeddaaedccbebeecdcaedaceeaaddaadaddddbdbcbeaecccccdeeebcbeeaeeeaedaacebabededbceebacebeadeeebccaeecaacbcbdcaeeebaebebbadabaebcacbebadacaaeacdccbbebccecdbceabaeeabdaaeaaeaacabbecdbbeebdcdaabadebdcbbbdedadadddcaabacdbaedcbebbcdbabcabdcbabecddccccabcacdcecdbbdbaebbeebdbacaacebbacdebbadacaacdccedceacacdeaeccdcbbdbbbeedcdaddcbadcececccbaabbcaeaadabbcceeadbdbeabdddbccedabedbabbaacddeaaceaccebccbbcdbcaeabcdabcedbeaedacedbbeeadacdcadbdbbbceedbdacaabbccedadabbbebecdcaeacaccbaaddbadedecdbdccacddcabdadadedbaccbdeaddddecccacdedaabdcbcdbdabccdcaecbaacceccedcaedccbeebecdddedcecbdbcbebdcabdcdbbdedbbceaaabbacddcdaeadabebceddadcdabdbeceeebeddddcaacacbbdedcecbbddccaacaeadbdcacbdedbeadedbebdceebbddcadbeebebbaeceaededeccbddbacabadabbbebaecacaeaecedeabddabbebddaeaeacdbbeeecccadceeceecbebbceacdccceeecabdeabcdccebeadbebccdbaddcdcadbbddebacddeaecebebbbaeedbedbdacebadaaebdebcceecdddedbbccadebdccecaaddcdcadcdcadcddecbecbdcccabbacadcecbddabedbdbceddecbcdeebecaeecabecdbdccdeedccdbbdeeceddbdcccbdcaddaeaadcaabbdecbcaeedccdeedadbadbbbbcaaaeabcdbecedcbaabcacdcecedaedcbdcbdecdcebbdedacedcddaabdccddcbcbeeeecceabccabdecbddebbccbdbdabaeddbeddbabaecaacdddbebdebbaabbdaeceeeedebbbbcecbccbbeaeaabcaceccddeaceadddbaadabbdbeebdadbcdebadeaedeaadbdaadceeaabaebceeecabeedebecddaeadcecbebbddacbdbbdbaacccbdaeedeaabdaacaabdeddbdabcccacebbaddbbabbaaecaaacbddccbcebdaccbeadedaadceabdbdeedbbecabeaabddbaecabbcbebacbabaccebeeadbeeecceaeeaecbdbedbdebbedecaddbccddccdddcebbacdedbdebdbeddbadddcdababcbbaeed
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaabaabab
beddcadecdeddcaabaaccebeccbdddabbcceeabcaebddbdbcebecdabeaaedbdedbadeebaccaeccecbdcaedecaecebbcbedccdbeebdaaaaeebadecaeceadaaddbbbeaeabbeadebbbebbbbdcbedaeadaeccaaaddabcadedcdcdceadeaddbbbcabbcbadedeacaeaeaecbaadbccbebcacdadcebdeebcbaaedacaeebcccecaabedbebbbbabcdaddeedddeaecdcbaececdbebbcceeecabaecebbeeccbdeedaeadbcbbaeabbbbdaaaecaaedadbbadacdadecaaabadccdcbceaeeececeadbcccabecccaadbddceccacecccbbdbcdbddbdccbeebeaabaeaaadeaedaeacabacabcbaceeacbeabaeeeeedeeaaddddeebedaebbebddecdeaeededcabacddcabadebbcdcddbcadebddadeddabceeecacedecebdcddebbcbdcebdbdcceeabdeaaeebaeeececdacceabedabcacedbbddecbccddcaabaadeababdacaeedcdacdbebccddbecdecedcdcccdcdddbeaacebdadacabedceedcdcacbddebaebccddceceadceabeedeedcbddbececaabceebaecdadbddcaadbccbdceddcebbabeeccabdaedacacebacedcedaadddbadeecaceeeedcebbdcaedadcaaeeebcaabdaddabcebdddaccbdadaecbaeacecbcdcebaccacbcebbaeacdaeaeceeaaeeddecebcbeddbbedcddcacadaececdccdaabceebddddcdcdcdbedacbaaebcebaeaabaebabcebecceabcdbcdcaabeacaaadccecabaebbcdebbebcecabeaaaaaaaeddadcebadabdeaeceaeedaabdbbaeedceddcbcbddcdeeababcaedacaaceeedbacdaaadeddecebaabdebdeeaaacacecccedcaeeabbccadeaabdecacbebddeecadddeaccaebecdeeebbebddeeecadbcadadbedcccbcabacdacedbbdbabcedabbecebadcaeeaeadcaabacbccdcccaceecaacccbedeaaddedccacdaeaddcdcaaeedeedadbacaeddbcaeeabdcabbccecaecddbccacdacecadcdcdebddcccbadcbccdacbbbbecddebbbabebeaebedbccebaeccddcaabddbdecedbaebabdcaecdecdedcdaecacbaeaecbaddedcdcbcdeeacebececdacaeabacaeadaeeaadeccacaebbadacccacdecceadaeabccdddccdcbacdccccaaeccddddebaebcabedbececbddcabacabdaebaceebccdacbcccdecdbcaccbababcdcedaacbacdbccddbbeacaccacdaacaeaabceccebdcbdbdcdeeaccebaecdbcedabdeecddcbdcbdebedeabcadcdedacecabdbadadaaccacddbcedbeddbecdcebcddbcacdccdecdeadcedcecbbcdcecbdddbbecbbaaaedcceacddedbebcbdabdeaaaaabdeaadbcceedaaaccddcbeeaaeedceabceccaaccaeccaaaaeecabdddccaeacbdebcaceaeaacadadddbbabccadebaceddaacbbadecdbcedbdedeaacbbbcaeabbcbdeaaedadbeabbdabbbbdcabeaeacedcbdcaeeddeededececaebedbebbcdbcedadaadeacadaceeabecddacdbdbbaaaeecbedcceaebeaceaedccccedcdbdaaaddadeadabdddddbecedcbebeeeeabdacbeaebbdbcbcdecaeddcedaeaaccaaaddbbbdbcddcdcacaaceeaccbdebcdedeeecaadcadbcbeaecdbbcdcbcdcaedabecbdccdbcccabacbeecbadecdbcdecbecccddbdaccebcbdcdbcbbaddbbddadbceedbadaeceacebdbeabcaaebbbabcbdaeedcebaabeeddbaccabececdaeadbdccaecacabddcadebdcdccdbaeaacacdeceabbdacaabbcabcdddbecdebcaddceabedbbcedbbbdcccabdebacdcabcceddabbdaccbbbddeadbaeacecaccedbacdabbaebadedaadbbcecebececcacebcdaeeecadaecbedbabbbcedaeaeaacecaedaaeacadadeaceadbdeccddbbeededabdaedaedcecbcaccddabdebbecacdbdeccdcbcbaeaecceecebcdaedccdeecdedceacacebabadbeccaeeceeeccdedecddcdeaaabcdbcdaeadecccccbeadebebacaecedeaaccaadbcaebdeaedeceedbeaebecceaaeeeaabededecadceadeddceeccdaacbbdbebeaaedbceadeddacbcebecdaedaaabceabbedceaadeabbeaddbcccacbacddcadadedcbaaddddeeabdecbeacdbcbcecbbeeeebdbebeeebbbaddaedecdabeeeabebeeadadcbdecbbdaaeeeaabbdcbaacbecbdaeecbaadbaacebceceababbacbebeccaaebeeabebeccdcdadbbcdccddacdbaccdeaeebababbbbebddccecceedcbeacececeebbbaeceadcbadcdaadcebcaacacdbbedacebecbdbbdbeaccabcadaabdeaeecbceadbebbebcaadeeaacdacabecbaaadbbbaccdabdabededceacceadbdedbcdbceebbacebcbaaedbdddacadebaabadbdbcdecceeaebacdebeccccceceacbebacacedddbdacbdbdbacbabbaecbacbeacbbbcdbcbbddbebbbaadededaaeebaecdcdadbeeeceadaacaabebebecebddadadaaddeacaccebcbdedbbaaccaaabdcbecbadddedededbbdcabbcdbdcdcdacadeeedebcebdadbdabadeaeacdcebcccddeceabeaddbbcadbdbecaeeecaabbccedaeedadadacddcebdddbdddeccaeaaaddacaceaedaeaccebadbbbccbddbeeaedabbdadcabdeddbddaebbccbcbcedbedadbbbdaedeeadaababbcddacbcbeccbbaabcecbbdcdedccaccdbeaaebbdcadecdbcabbeddcbeacddbdddacebeaedeceabecbeddedccaeaabeebddbdddccacaaddacdeabccebccdbbebbbbaaaabcdadeddbecadcacceeeabcaebbaedcdedbabcdedddadcbeeaedcdbcdedddcecabcceadabaceaeaaedcedbbebddccabcadbdbbddddbaceebdcddbcdbcdeeedbaeeabdceaebcbebcabacdaacbbbeedacdaeecdbcacdcceaceccdcabbaaabebddbaeaeadcbeeddcbbeccacdbcadebeeeeaeeabdcddbeddbabbaaaedbbdeddddaccadbbeddddbbaeaddcdaadedcbeccdcaeacececacecaaadbcbdcaaeaacccccedbbebeaadcebadbaddbeddabeedededcabbcbeabadbeceaccbbeaabdacbecbacecebddbaaebcdbcabccbaebeaaccdbacebccdebdeebaecccccaddccdabeadebabbcebdceaccdddcbecebeedccbcadcadcbeabacecaecadedddacedddbaccabbbeabccdbdeccdecbcdacaedbcbdaaacddadeebeacabcaaaeacedadbbcbdacceecbddeaedcceccedbecbcecbdebeeadabdbcaadbcccadbcdcaaadeecdeeeacbcaaadbbaaccbbecebdbbdcdeceedbeadbacbeeddacebeecbeaeeeadacdbebdbcadeacedcedeeedeeddecdacaaddeaddbaceddbaebbbcbdccaabcacbcebddedaaeebbebecedeeaecdcabaaaaeeaaeddeabcedaebecbcdeaeedcdceeceeeddccccccbdacbcaddbaddaddbcebddcbdbcdeebecbbceeecbadccceeabbddcacaceebcaaeeececcdbcdccdbecabeaabaeecdacdbbecebdacacdbdabeedbedbacabbdeddbdceeeedebaebcaadbecedcbcbcccbbaeadbabaeedcbadcbbdbdcbcaaeebecabbbabecaabbbacbdcbccbdbeaeadaeadbaedcbaecbaaaaaccaadeaeccdadbdcbdadbcbcddcdedaceeeeaebcaaceadaeaaeecbdcdaebbbaedebdddabedceaebeabababbacbceebdeedbdebcadaedbcacebcacbdbddacbeacedaadccaeedaeddccbcaeccbdecaceebccadccbcbbcbccbcabecadaaabbadacbbdcdadbddbbbdbecceacbaccaeaccaddaabbebedacbceecababbbbabdeddceecdcdebccaaadcdcbeeebdccaeecdabceaebddcedecbdebdebcdbeaddceeebeecdedbbedddcbcdccbddcedae
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaazabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
beddcedebcbdebdbebacddababeaddccccadbdeaadceddeadecbbaeeabbaaaacedccbaaebecbbcbbceebcbacecdccbabceaaebcacdaddeeadcdccadbdbaeaabdbedcbabcaccecaeeacaccebbdaedcdedbddbccbcaaedeaeacbbaeeeaccabbbcadaacbcceccdbddbdaaaecdceceadceaecccaddcdeabddebbabbedebdbebddaadeebbcceddbaebdabecccabbbbddebdcbbdcbbadbeeececaadbdbcbbceebdeacbbededdabbecbddeaccceddbadccdabcbcaceccbaeeddecbeabddbecabedbacddedacabcbbbbadbbccacbecbeaceaecabcedcecbdbadabadbdceeeadcbaebeacbccaebbbbdabbaaecbeacebbcdcbeabddcedbeecbabddadcddbbdccebbbbbaedcebccabecddddeadbdceaddeaabebeebccbedeceabcedbcedbbaadeaaccbadebabbbaddbddbdebebdcbadeddacaddbeabbeadcaadbddadbdebeedbccecaccbeacceaacdcaaddadadedcecbdbbecddeadceedcebdceaaaadeeabeadccdabdcbbcebaaeceaecbadaccaecebbbacddaecadedbcbabcddecbeddbbacbaddadddeacabcaabaddaecbaaeabcacacbaadadbebccdacbeddacbeddbcdbbdaebbdcdadcdebeaccddbcaadaddbabdccbecbbadacecdacbcdbbbdbcaddabdadaeaabeabccaaacecaeecebbeddbcaabbedbcaadecaebedaaddedbbeabbecbaedbdbcdcbcaeaebdbbbbecedbdcabcdceeabaacebbcdbbdbaebdccbcaceaadcbadbcbaccdddebbeccebebaccedbcecdacdeeadceeadbcaccddddcedadceaaaaabcbaaccabeedeccecacbbcdcedeeeabbcadcecaccadbadaacdbadcdaacaadbbbdccaddbeaedecbbbedcccaabecaccabadddbcbbcbedbdeaabbbbeccddcbdcceaeeaeecababecebeacbaceaedcdbebebaecdbaaedbaecdcdaacccdbccecdecebbeeedbacacdeededbdadeaaaaaebbddeaadecdebacaaecbcaeddaeedcbcedacededeaddbeddbddaacaebeadcbebeaadbbbbdbdddcaeaebdabedeeecccaddeabcaaedddecedbeeebbaaeaddbcbaddceadcabcbabaaaeaceadcedcbcdaedbdbabbabdeaaebeceeccbbeddbeadacbbaddcecabcdabeabedcdadbbabbdedebedeaccaaaedeeabbdddecaddbbbdcddecacaaeeccecdaadcadbcbaebcacdacbabdacaccacadcbbbabcaadcebedddbdbbdddaaaedcbbcadbedcceddeedceddebccdbaadedabdbebeaabbaaecabababbdbccdbbaddcccdeebedbdacdaaeededebcbedebdcddeeceeeddeaaceaddaddbbedeacdeeeadebdaceebabbbcbaddacaadbecadebbdaecbcbbbbbcdabacceecbcedabdbccadaccaeaadebeeeecacdddacacbceccdebeccbbedccbdbccbbabacddccebacddabbbbdbebdbdbaadcbadabcadabebecadedcaededabacedcbbbaebadababadadcccabaacaaccdbadacbceabbbcdbadcbbebbadceabcaadecdddededebdecdeddbcdabbaedcdbbdeabcdbcbdeecbcdbebaccebaecedcbdebbdacdccccaeccdeabeeeebcdbebdcbeeecaeecebcadbbadcbedeaaccaaddeaaeebceecdadcbabbcecbeeabdadebcbbddacddbaeabcddacaaccedbbbdababdcadccadeedcbdadcbeaaaaaabcbebadeddabebbeccaabaebeadbedcbbbbbcceaccecdecddbecddeadaceeeccceedbdbcbebccbbcaaebabbcddcdaedcdbaecaeeeeddebabbeebaaddaaddeebccaacbbbecebaebcbdbdaadedbccbcbebdcccceaebbadcdadcadceccdcbaeeccdbaebddaeeabcdbbdabeecbebdeddedbbdbcabdccdababccbceaeadedacadcdbebddeaeedbbbcbbecadbbeadeebcedcaabaeadaeeacadabadeceabdbbdeedabbabdcaddcedeebbdeaceaecbabbaabdabdceccabaceadcdbdedccdecbcabbababdedbceacebdddecdeeaccbeaebbaedcececaddbbaeedaeaebcdeebeddcaeedbbdaadaeebeadabbbabcdaececadcbabcbebaebebcdcaebadaacbcabecceeaeeececbceabcaddcbedddebabaeadacbdcdadacaebddcbcaabacabaceaabdddbdcbdadccaecedeebdcbaeacecccdbaadabababeedaeeceaceedbbbacbeaccbaeabbbbceabadecebcedebdabeddeebacaeaedaadacacbcceaeaccbdbeaeaabdcabddeadbceabcbeaedacabedbedadbbaeecbdcbeedabcadeeedadbdaeeacaeaccceabeebadaebadbdeccacdaeeaecbdeceaceabeedecdeddcecacadedcdaccdaaceaeeaadbdbbaebebabadedccdeaddcdeebecbceaeabddbddabccdcbbecccecedeeeddebaedaceeedabbdbadabdbaddccbabadbbadbdccbccabbacaedecacebadababcbcddbbeadabdbdedaeaaeeedebbeedcbaeccdcbeeeaecbeedecdebcadbdacebaebcdecdeeebccecababbbcddaabdededcaeeaaebabbdcccbbcdbcbacdaecddecbebdccdceacdcadccabaabddeceeecaaeebadbbdedceebbcadebbbddededecacadaacacdcedecebbcbbdeceeadddadcdaaeebbacebaeaaccbecdcedcaceabdcbdbbdecbbbbaedabcaebaddadacceadbbeeabbceacabacabeecdeedebcebeaeeaeabaceecedbaecacaddccbabbecebaddbbdbedbebcbbcacbcdaeeadbdadcddbcaeadbedbcaadeeaeaedeccdacabaeceaeaacddaecdcdabcdadbdcecedbaeceabddcdddbbcbdbceecdcabeddaeaeeedbcbbcbdadaadabcbbbbeadbdaadaabbcdceaabccdbecccdbeedeecddaaecaeeaedaceadedddcbccbcabbbadeccbdbaddcbeacacdcbebeaebedbccedcacecdebaddbeaeeaacbbaebbcacbcabedbdaccaadacccddcbaebcceececbdceebaaeddccabbebceeceddceeadeaaddbddaeabbcaeadeaacbccddddeddddadbbaecbbddeeaaebcdddbbcbebecbebdbabeadacbbbadaaebcbceccceacedcdedddadaeaeccbdeeddbaeeaaaededddaacaabbcddccedadadeedbadeeccacbadecccedebdabcdadcccebeaabdaecbbcccccebbaaecaacbcbadaaebeeeedcbedcaaadddedeecaddcccddcccabbddddcbecdbaedaecbebeedbbcedcbecaadeaadecebdbebeabcddeeeadccadacabaaddedeabccebdeedcdbbadebedbcacbaebbdaeceeababeccbbbcadbcbedceccaeddcaeebbdcabbabbbededcdabeadcbdbadbbadeeaadbaecdbecddccedecadaaedddeebcaccabbccebeaadbeaaaddbdddcbebcedacbedeccdbdddbeeebaddcaacdaeaaeccadbacddeeedcdceebbdababdcdcbedbddccccbeeeecdabbbabacedaedbedeeebeabacddbdceceadecedebbeaccdbaececcdedabdaebdebdbdadcdcabddbddbbddcdeeeeebedcceebaaaaaecdaaddacabedcdcbeaedbcaadbabcacaeeabacdceaabdddebeacbdcdcbedbcbabbcbddeedcbdbacdaccdddeecbbcbdcecaedbebbacbcaccbaeebedaacbdeaecaccbbaabebedeabbddbabacbbbbccabebabeddcdccaadeeedebccecceaaceaeeecabecdbbdebedbccbccddddddedacaedededbedeaddcddccebeededaaccbeddbebdecdbbdeedecbacbecdcabcabbbccbeccbcccbadbbaecbddbeadddeabdcabcdacaeeebbbacbacddeeacdcbaaaddcdacdacaeecdecbdccaccccbaccbedaeadbbeaeadbaedbbeedbcadbbbaddebccaaeeacdcbdddbedeeeaaecaaccdeadbededbdeebccccdbcaddddaaebddabebaeaabeaebbcc
aaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaazaabaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaabaaaaabaabab
cdcacabcaddbbcdedeeccbccdeddcbdabcacaeebabecceeceddeddacbabaccbcdadeeceeaaceeebcccecebcddccdbdedccccbcaeebbdbeebaeadadbaeeceebdcebdcacebecdaceababeaccabbeccecaaccebbcaaeeacdeacaeeebaabccebaaedeeacdcdbccbcdbedebcdddbbbedddbaccdcadeeeebddbdaedecaabcbadedebeeabcdeeeccbedaabddceedcdbaeedaadeececaeecdadccadecdedbdebebbadebcaedccbebdbdeebcbccbdaccbabdccdcccededcbcecacbceccbbcaadbddbbdebbabbcadcbebaaeaccdeabdbcabbcabaadddaacdaebeedaebccaaadeaddabebdeacbceddcbaeeadaacedeabcdbbccaaadaeedebeecdecaadecbaddcedbaccacbcacbebebaaebbbddaecdcacaddccdcdcddccdacbeaaabbccdbaeeecbeebaedddbedbeeecebdeadeebbdcabcdceabbabeebabacdcacadcedbbcddaebaaeddaabccbbadeacdddcaeededebcacadedceabbeddbaeeebababaaaedababccaeedbbacbcadcbebaeebbcbbabcdedcbddbadaccdacbaceeabdebbabcbebadedeededaadedeebabdaebaeecaddbbcabcbadcbcceddabdeadbdadeabcbaebcabcabaceaebaeddebbbdcdaadcebbbecebceaadaeebeeeeebaedcbbcdadebdedbacbecebdebccbabaddbeebdcedbecbeedbdaacbdeebdcaedbceceedeeedecadbdedbceacbabaecbceeababccccbdbedeadeeaecdbbbddbdcdbdddbdcbebccbceddeacbccdcabdddbdcacaacadccbddabdcebbaddcdbbeebeccadceeddcdddeaeeebabdcdecbabeadbeaacdcbcaceceeeccddacadabeddceacbebeadaeacbccaaddbeacabdbcdedadbbcebedbacdccaedaadebabadaddbadbecdcdbddddabbeaecbceabeacabcdaecebadeaabbceccdedcdeaabbbdccacbebeacdaebbaaaddacecaccdeddbebcaeadbadccdecabbcacebbcaeaebdaadeadbecdddbaaacaddeecaddabeabdeeaecddbbbdcddacebccbbbddecaadbdadeabcbbcebbdbeddddcdddbcdbecebdeaababbdbdeaeacaceeedabecccdcdaacccacedaebaccaecacdddbaceaddbaeabaeaeaebdccddcaeeabceedaeabceeaadaadcaedaaadddadadadeedcddadeabbdebcacaabcdeaaecadcddaaedaceaabacadccaabdaccdbaabccbabcebdadebeadbdcbbabdcadbccaedeeecedecebbebecbbcacedceacaadbeccbeeddecdcbeaceececcaddedddbbdbdaabedcbdeaeabacaeddcddcbcbabcdedeccddcccdeebbbbacaadbcbcbcbdebccbacdecbddcebdccbeebbbbcedbcdddbdaaccedabadcbadebddbaaebaddadaebcdeebccbdacdaeeebabcdbbbdcaabdedecdeadabaecdeecccbeecebcceacabbbdcbddebdcdaecaaedbacdadaccdccbcedccdcdacadbbadbbbccdbebeddbbcaecdaecbebdcdcaaeececbbeaebcaaeedbdabdbbdbbabcdcbedeaceadaaaeaeabbceeddeadbdcbabcdaaccdbaaebcadbaadaedebbbabbccbddddbeeabbaeabeaccbbdadaddeddeedadcdebadacccdeedeaacbaadcebceeeccddcbdbedaacccaecbdbbebecadebbadeaabbddddaedddacaebdabbdcbbdbaacdadcdbdcebddeeddbacdbdddeeadeabcebcbbaebdaaeebabaadaededdeebbaedaadccbbbcdabddcdaedccaddcdebedbbcdbdadeabbbeaadcdebadecacdecbaccecbbeaecbcebcbdcbbcdaaeaebbedecaabaddcadeccebbeebecaeaeabadcaadbccdceadeceedcbcceaebadcdccceecaccebeedaeebdceabcebaeecebdeeeaeedeeaacdaccdbddebdadeeccbbcdadaaddeddeeaeadccbbbccaddadcbbcabdacecbeccbbdcbbaadccedccdbcacbceeceaedecebbbebeaceebcccaaebcbbdbaacbdbbeabdcaccbdcccaabbcdeaebbdceddbbebbeaecaeebcdbdcceaebeeaebcddadaaeccdeaedcbaddbedcebdebebeebdbdbacabccdaaaebcaaaaedecaeadecaabebceddebbadeddecbeaeccececceddccadeacbeabcbdaedcbbebdbcdadbbebaaccbbdbbbdabdebabdcdadddacacbbcbdaaeaabbceeaecebccbcdcabecbadcceabacbbbcacabcabbeaebbabcabcbdbcdaddcbecaadceaacdcdcbdbadeabecedbbcbbcdbcdbeaacaadcdedcdbadccbabacbdaaaddbcdceacbbebcaaaddadeababedbddcaeeddaadccbaaeeebdadbccdcdecebcbbadbebecebcdbbbeadcccaaccccbabcdaccbdddaeabecdadabbebaabecbaababeedeecbcbbcecaccddcddccceaaabbebdbbbccdeedadcedbadbabbeaedecaeedcbdddececbbbecccbecebceeabddccbaaceedaeeaeddebeeaeeceaccaeceeebdbdaeeadbdcacbddaadbeebbbcdaedbaacdedcbbcedeaceadbeaceeedccadeddbadecbedacabdedbdbedaaecacdccabbcbbabbddaadcceabaaccabbeddeacdadbbbeeaaabeeccbeeceaacdddeadaccdecaceaddacbceadccbdcdcecadcabddbcabcaeddccddaeccdbbeedaecaedecebceebbdbacbdddddbecdcacebbdaecbadddaeedcadbdecedebabeaebcbaddcbbeeecacecaedcddddacadceabadbebdcdbbabdbebdcaeadadabedadcbdcacbadeeaeaabbbdecaeacbddacadbcabecdbcceeddeabbdcebcceabeecedcbeeaeaaddbddbbbebdecccaccedcdeceeeabeeabcbadacacbbdebcdeedcedddcaeacebabebadacbedadebbdaeacdbcecdecaccbeeedebcbeacccccbececabaeaaaeddcebcebbecadbebaabdecebeebcbddedddcbeeaacedbdabedaaccdbecbeebebacebccadecaeccbcacaaceadebdbbadbabaaecacaebbbedcbecbbdcadbccdbabdbcecaabbeaddccbabbcabaabdbaecbceadbebccdaaeebbeeeaceacbecabbdaedcbcbecbcddedcbddedadccabcbebbdecbdcbbaceebaddeccddeaeaaeaebceecaabbdeadababcebadccbabdaebedbbadbeabeeaceaaeeebeaaeeddaeeabdadaabdcccacaaeadcdadbedbdcdaaaebeabcabbaecbcecdababcbcbaeaaabcbeecbbbbdeeebcdddccabcedeebcdeacaaeebddbbceebdbcbbbcbadbbeadeadbdbbebddcabeacddcecdaccaeacadbacdcdcadeaccbaecdaedaecedcebabdceebacbcbbcadacdeddeaeabecebedaeaabcadbbdcdabcbdbbbeacececaebbdbbcaaddaddedeccbcedaacecdbddaeaadbdacccbddeeeaaaaadedeecbadeedcaddbdebbdcaaccadeaaccdbcbcccdadcbeebdebdaeabcaabccacccdadccaccbaeddcbaddadaacbbdbaecbaaccdccdddecceeadbcaaddabaedadebccaecbeddababacaddaecbdeaaebdebcedbaaaddcdeaabcbbebbceceabbaddebedeeaaadbaedcdddcbabeeebebcceaccdcacbaaaeeadaceaadebbedabaebdcaecceebaaccaaabcdbeeaaadcdcbdedbcadedeebbdcbadcbeddbcbceeaabaaaddbbacedeabebaababdbbccedcedaeaaeccbcdbadbcdabadbaebbcddadcdbcdeaaedcdcdedbaebbdaccadebdeeeecadadbacbebbaeccceeecdabaabebddbdadcaaedeadbebbbdeabecdbdaeaecadecaaebecdbceadcededddeceddaaceadeebcccebdeeaacdbdeaadedeaebeaeebdbdadececddaabbbadbebdaeeebccaeecdeaebebcbceddabeacabaacbcacecbeeeebebbcaecdcadabbadbcabcedecacabddadadbdeadceebaabddccbeacddeceddbebdcebdabbddb
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
dbdbaebabbdbcdeaacdcceeeacceccabddeecabdaaacebaaeddeddddacbeacaadedceccbaccebcbbddacabbeeadbdcebdabdbcaecceccdbaeddcecddbacabcbbedeabacbebaacbacccdebebcdaddeabbbeaecdcecddebcecdbbdaeabebcabbccedeebcabcaecdddddebbccdeadeeeadeacadcadcecdbbddecabdcbedaeabedaddbbeaddadeaaebaaadecdeabdadeaedadbadcedeecccebbaeaedcdabdbaeddebebbceacbacbdbebbdbcedadcbbdedecacabdedecdddcecadcbbcadbdaaaaeedbbdbeddebccaceedeabeeadaacdcbadbbcaaeeeaabeadeaeeabbebacacedecceecbdcabbeccbacebecedceeddaecaccabdbdacbaedeaccadececbddbcdddadccdebdeddacdeaebebcbebaeeeadbabeaeccebcddacabbaabdeecedcddaddacedebdadaacbbedbcccaeaceebbeabecdaecbeaadbadeababeadededcbcddeadececdbdbcddcacddbbcbbdaedccbbccaaaacbaeedebbecccedbdeeabcdacbdaeccbcbeebcbaaaadecaeeeeeecdddaeabdddebdeaeddcbadcbadddcdaaadceeceeecebacacaebabecdcbdbbcdccebbaaccabedecdceeaddeadaeccabbbcadacddcdbecebdbedbabaadacddcabbdacacbdddbcdececacabebdddaaedeaecccbebbaacdecaacdaaeeaaeedcccbebddbddbbedbadbccebbbbaceddcceaedcacbccebeabbabbedccceecebbedeabbdbabeacebebebdebeacacacacaaacbbbadbbbdaeecddeabebcacdbebaeddebedcaeaedaacbdaeaadaeebbaabaeeaaacbeedcbcdcceceabaaaeedcbecaaadaccbadaddcddedbdbceabaadceddcddaebdabceceaacaeaabceceaadaeadadaeaddddbbeabacacbaeaacddabbebaccaaeaeedeaccdabeecdecdceeececccabccdccbdddaecebabbbdaacdccdbeaeccdceebbcdebdaeebdaeddeceddbacabddbcbadeaaacbcdaacddacbcedadabdabaeadaedbaceaebeededdbcebccebadeaddaecddbededcbbadbcacdeebbdbecaeedadabccabbceabebadebabaeabeeedaeecbecbccbccaebbebebabededcadcedbabeebceceaeeddcabcbbddcbcecabcbceeacebaebbabcadcbdedbedcaadeebaeeeaacddaeccaacdbcecdbbbeeadbdbcbdaadddebeceacceaecbadadaadaecacadbceaaebcceeaaaacceaaebeabebaebadeccaaecccadaddeebeddbacedcbebecabdeaccbaeeecabcbaeebeaabddcdaebeebeecebeeedebbbcdbddeeaedeedecedcdbbdedbdbadcadbbdaeadecaeceacedacccecaeddaaaceadeeccdecbdabcedaeccebbadcdadcceddcecaaaeedeebbecebebaaeccadcadadeabbaebbbececaccccdcdbcaeddbacadcccbeadbcaaaabcdebeadbdbedbaebbcedbcbccedceebdbeaedcddedecedcbcceeaaadcadbbedaacadbcebbbcaceaaddccddcebaacebedbbbdcedcbbebccedeeeecdbcdbdeaaeecbcbcdeedeeeabccccdabbedbbdeacdccbceebdcbcbadcaaddaedddecdeeadccdeaceaadbddcddaabbccddcaeacceaebbbceceaecdcbdddadcbceebdddbcacadecebabdaecbceacddbaeddcadadeeaedcdbebcbaabbdcaaecabedcddbdaaadddeababdbdabddeebadbdbacdcbaabcebdbcbdddddbbdcbcdacacaababbdceabaccbbceabdebccdeaccbaccacaedcdebcdceadeeaebeaebadccdaebebceeeaadceabcdeedbdcbebddecccaceedacddebccabdbaeaedddeedabddacabbcaeecabceaaadcceabaaccadccadcdcaeadbeccacaeabbeaecebbdbeebbaeddacedeacbdbabbcaeedaedccddbcebcbabcdcdcdaeeaeadcebdededbbacdadeadccadadbbebeceedeaceeceddbaadcecdaceacdaadbdedddeddacadadecbadeacbeeeccaabbbdcbcdcdbeedadcaaaccddbeaacdebcebbedbeecbdcdcceadbdecadecabebcdbddbbddbdbedcbcbcddeccdbddcdbcbadcccdaedbbdabccbeadddbaabedcbddeccdbcccbcbcccedcadbaacdebbebaebadeeebaabdccdceaaabceadcdcdedacceececddaebdaedcebaaabcecabcabeeecdadaccebbcacdecbdedbceeacaeaedccbbacbcebdedaceecacbecbbebdbcddeaceebdabadbbcdbdebeddeaeeabdbebedbaebeedabdecadaedabaeecebdcaeececbbbdabdbbcbaebedcaceeeacabaecdceccdacaaecbecdcaeeeddddeebdeceeeddbaaddbcbacaeeaecadbbdaccccbeaeeaeadcdaeeccdbdebeababddbcbecd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
deabbdbedccbbaaccaecaaeddcdedaadbcaddaeaacceadbddccaaccacbeeaacedebdcbeabbccaacbbeedecbecacebceddaaadeddcbddabbbdcbedbcccbddccbddbaceadaccceedeabddcebcecbeaaadbacedebcdbecdecebbbabddcbcacdaebccbbbdaebddbecebddcadbebeadcdbcdbddddabdbaeeebebaeededdbdbadaabddcaedcbcbaeebbaaeeedacadeabaddceeacbcdeebcdaeedecaacabdcebaacabcdedeaebdabedbbcabcecaecddececddabbebceeceabdcdaedcaadcedecadceaaacaebbdeeecccebcbbdcecdeaddedbbadaaddecdabaaaeacbdccceaccaaaceacbbeacbabedbbcaaeacdeebadedebaacabbecaabceceadcdedcabcbacdbbbedbcceccddbdcedcdaecbeeaecdccddacedcaccedbbbbebcecdbcdebabadacaeaebbcaddecebcdabdcbdedccebbcadbcaecccaecbbbeaacdecbaecaecacccbbdeabebaaaabdbcacccdeecabdedbadaebbebaeaceddeebecbeeeabddacbbddbebeddbaacebdbacdecccdaaecdecdeabadceadedeeebedcecbedaaabacbcdeddeecbdaeeebabecccbacaadcbddccbaecededbdcddbcbdeecbcaedaaccdcaacbcbaeedbcddadedaebaeaababaeecbceeaeaccddbcdaaccaaaaeecddebcccdebbddbeeddddbceecbacabbecedeeebadccdabdbbabcbaabaaaecabdbcbdaceaaaeeeaeceabcbdeddadeedabaeecadcaaacbbabcddccbeacdabeeedecceabadabadbeccbabbacdcbcaddcbbaaedbbacddabedcccedbddeadadcdaaddcceecaadebaeadcedaedeaeeeadadbdddaebdeaaccceadcecdadeddeacedadcdebdcbbaaaceddcdabadabbaabceaeaedcacecdbddaeeaadebaacaedceaebcabdbecacddbaacaebaddabeccebcadedccbbddaddcacedbceceacdbabdaccebcbcabdceeccacaeaccdbaceebbaaacacaecdaadccdbeadedaaddceddcacdecddbeebcbbdddbdccaedabebdabdaeceacbedcadebadcdaabbadaeeecbaaadebecccacddabcacabbbcdecbedcaceacabcbcecdcdbcdcdedcaeedbcecbbccabceddacddaeeaeaaccddabaceadddbbcadecacbecaaaeebcbadddedbcbbadaedcdabbddabbcabaababbbbccaecdaedebaadeccaedbbdededaebdbedeaadebeeabdcaebeecebccaacbdedeaebdbabaeecdcadcbcdcecabacbccceadcbceadbabbebecbbbdacabdeaebaeaadaabaaebeaadceabaabccbcbcebbabeaeeeaababbaedecbebcccdbbaeaabaadaebdddeacbebdaddbedcbeaedeeccebcedebadcaaceeaebedabbeccdcdbaeebdcebdedabcdebbabacbeadeeaccedeceabaddebeecebeddebeccccebeabaaedabaededabcbbcddaaabcadecbcbacdddcecbecedebdbbabbaadcceeacdabbeebaeeedcebcbaeeaacaddcdabdacecabbeeecedbeceebdecdcabcabcadddabccbdddcadcdcbaccabbdecebdecddeccebdebaaebbaaacdbaeedbabdcbbbddccecadadccaebcdaedcadedeaacedecbecbaecadbdcebbcbddcbbacadbbedbecceaeeacebbdebceaceceaccbbdadbdddcaacaeeccbbdceaeeaaaecbdddeacceeacdbebeabeebddccdccadbbeabebdbcbbceaddccbadbedbcebbcecacbdbdcaebbdaceedebcecaddcabecddabdeddcadcebeccdddaaecdbbbabdadedbebcdcdaeaeebddddeedeaadaadbbeabcdebcedbdcadaedbdcabcbeddbeeccbabecaebdceadedbbcccceedeeeeacdcbceedeadeceacdbceeeddeadbaadebacbadaacebddccaebcbadcdedbcdeabeedabbbacbcecceccbebecbebdecbdbaaaaecbebdabebbddecbacadbedbdecdedbcabaadecaadcaceabbbeaadceacdabbdadbdedeceddedbbebceedceecaabcccdababaebecdaebecdbadcadbaebeabadddacddbbbaaacdbdebadedeecedebaaedcbcbaccdadbecbeddcbbaedddedcdeebddebcaadbbeaeedeadbaceaddeaddebdedceebebddcbcbaeaacdabaecbdaddacbadbdadbcaeebcdbecaabbbeaeaaebeabedaaccaeeacdbdbeceecaaaaecdbdeacbaeeacddbbdacedeabadaccaeeaeecbbaccbdbbaeccdaacbaadaabddebadcaaeaebdaedecdcdcbdaeddaeccebcadecceceebeaedcbcebedaceedcbdeaaedcbbbecebeddeebdaccdebbbbaaedaebaaedecacdadacaceeadadbecbdabecbdbabeeaaeacbeeddbcccdcaecdcadccaceabbacbacacddabbdbdcaaaaeeddbdceeddbbbeadaeebaeeececcbbcbdaeecdbadebeedcdaededaacbecbcbecddddabaaeabcddaddebbeadbbdcacdbddceaadcacdcbcbacdccedbaaebdedbbaedbcddcddbbddccacdbcbeeecdbbbbaaccdcdccbddabccaeadedeecdcabebcaedabbcccdabcebbccddcdbaddbecccebcbdeacdbbddcddeaeeeaacdcebdeddebccddbecdcdbbeebdbcbeececddaaeccebddebcaabddebbbcdceccabccdaeadebcadbadddebbceccabbccabdaeaecdbcadddcadaaeaeeebdadbececbabbcaceadebadeabdccdccdddecaccadededdcebaabceababaedccdcddebeccceebadcbcacdbeadcbdbbcddbecaabceedaadadddbddeacddedbbcadddabcaceeeaedeacceceaecbdaeedeeedcadabeabdeabeccebaaeebebeaeeecaedbbebceaeeabceceecbbdbdbeeebecaacbbceeeaaeeecacdadebcaabccacbbeecbaedcedebeddacaeeeebddedbdcaaaaceabcceaddcbbcacbbdeddeabbddacbceaaaacadcaacbbaabadeededcebbadcdabcebbedcdcedeadaabeecbcdbbabbbdcaaeaaabcdbdbeeccddebabebbbddcbbdaeccbccaeaadecdccdaeabdcbbeacedbcbabdceceacaaceceaeadcedcedbebcbdbccacddecdcdeacdaaedcbbdaeceabadbbbccccecbdddbeebbcacbbcabbadcbacbaaacdbdacecbddbedbaddcecaaaebcbeccedbaaddaedbabbaecedcdeecacdcecebceedbcdacbacadbecbcddcdaeaebaeebccadbcecbeedbdbeacdecdeaccbdeecaaccedbdacededaadbaacceeaecdababeaaaccbbaadeaaacbcadcbddcdabecabcdadbcedaeaaccebecdeadbadaddbeaeabcbeaaaeebadcdabdbdecbdccaebceedeeecdaddaaeaeedaeebaacdedcdbaddecdadaaedacbbedeecebdebdbebacdceaaedcdbbbdddabcdaeeeadcecccdedaccecddebeadebddadecabbbebacccdcdcaeaccadedabdaddcbacededbbbddbdededabdbeeabdcbbcaaecdabbcaceeeacbdabbebdeeeceedaccedabacbcccaeddeadbdcabedbeaacacbbcbcaadcbbccedcadaadddeaccacacdddbeeeedddeacdcadbebdaacecbcceadebccbaaadbeeddacdbddcbaedecccbacbadbcedacacedbddcbacdcdbccdbcbaeeabdeceecadabcbebceedaeebbedeebbcbbedaddcbcceedebecdcbcdecabddabadcaceadbcbeaabacacaaaeeddbebeceebbccabbeccbdacdcdabdcabbaecceacadcddeaeedebdebdaebcccbdcbdecbaeaccaabacaddaccadeaaddebcceedebabdbadacbdaebdaaceccdbebabdcaeacddeaadbbaecaebededbcecaaebdbdacdbbeecbcebbceaabbddabddabbdecbacdcbbbbbeadcbaeabddeccaacdbaeacbbecaeebadabcedcaecaedbaececacccecbeabcdadebbdebbcaacbadbdabecbaeeedcedcecdabbcebdcbcdbadcaebeccdceadcaedaecaeade
aaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
bceacbceeacddedecdeeadcbbbdbdcceeaeaaccccaaacadabeaababccbbcacdaaaddaccbbbdccddbddecdddbacbdbddacacbbabdbdbcccebaadccbeebbcdbededcaddaabdcdaaeddceeeddddbdbcbbaeeebdeebccedbeddeccaeeccdeacdbdbceeaabcbbcccecadebabaacbeedceeebccbbaecdcddededdaaebbedbddebebedacdecdcdbcddeccbbbacbdbcacceacbbbcebebcebddbbdddebbecbcccdedbccadcdbeddbbddccecaeabdbdceabbcadceaebebabbeecbacccdacebbcdbceedcaccaaacdeeddaeeaaecbaceaabbadecadbaaadcbebacdcedeceddacddddbeacbadbdcedcdbebbdcdedbaecceabcbaaeebbdceabebbbbddcbaacadedbacbaaaecbaeedcecaccbcadccaececedeaabedccccedeaddadcceecbcadebcdbbcccbcdebdcedaeeddceadadebbecededdbeecbeeeeeacdebddbdcdacadeaeedaadceedaccbbcdbeadbadabbacdcbcbedbedadbeebaecbacabceaabbcecadebbcdbadabddaecaddededbdbaeabecdeaacabdceedececdcdcacbabbcccedabcaaabbabeabdeeedebdbcdbdecacacdeddebcceebbccbbcadcaeadadceeacedbbaeaaaadbbbaeacebaaceedebaaacacbcecedeeabccbdaeeeabbbacaebebaabbcabaecccdbdcbaaacdacadaeaebaccebdabcdababdbedcacedaaeeadddbbbcbbcbbeccbcaddbbadbaaaaabeccebebcdbbeeeacecdbdeedcebcceeedaeddbdedceeebadbcdecdbddaedcadddcbcaedecdcbebdbbceeccbabeaccadbcacceebbaeeedbbacbbbacdaddaecbbdeddaabdbaaaeadcbbcccbeecabcdcaeaccadeebabcaaeabddbabaebaaebdadbbdcdadeeebddecdbbaeeddedaeacedcadbbecbcbcdcadcbebddbbdcbdcdbacabdeddaaabedecccecbbbeccbbececeaabaadccecbeeebdbedbbdaeeacdaacaecabbcddbdaaeccaeadeccedcacdccbdebcadabdacaaabecededdbdcdacbcedbebeebdaeeeaecabeccbcbbbebcebceaabdacceecbcadedebccbbbadaeaeadbdaaeedabdbcddbaddcdbacdaaebbaaccaeaabaaaddedebcaaeabaccbedeecbddcceccecbaeedeacdeeceedcaabccbabbeeedcccaecbecdcbababdacbeebaadebcddecbbbeeccbbcbddeaceccdaaaeaceaceeeebccaaceeecebdbecaecbcedaedcacbdadbdbbeaddeedbaceaddbccbcbcbbbbdacebcecdcdbbdaabdecbbbeaecbeadebcdcdebdcaccddccdccdbeebbccecccabcacbcbedeabadcecbbdcceabcaeebaeadabeecaaebbbbbeeaeadccebecaacbcddbcdcceaeacccbabacdceaecabddcadccbbebaabadcbaaeecabddbeeeaeadabeabadebadccccedccbddebabbdebcadedeeabceeaccaabbbecabddacdbbbedcdbaaebbacedbecbbbddbadcaddcdbdbebeecadcededabdbbedeecbeeabbeabbadabdeecebaacdbacaecbbdacabdeedbdccebecbdccbeecaaccaecacaaadeeadeabdddddedcaebbaeeeaecbebdccdcbebcbeedcacdbbadcedacedceababedcacecabeaceabcecebcdcadbceedecabebbabdabababbdeeceebcacacaebdbcaecacabcbaeddaecbdebddbcdbcbcabcdddcbdadbdaeabcebabacebebdbbaeacececddaacebbcdbceaaaadbcbaaddbbedacdcebdcdcecbaaaaddddceecedbabadcabbbddaddddbcbeaecbabdcabdeeddceacbeacceceeacbadbcdbbbebaacbdbcbcaccdaccebdedaabeabdeeeeccdedeebdcddaaaadaceaceaeeaeddababcaebaabdcaeccabceeaaecbdeeeeadbeddbcababeccacdbabacacacaabeddaaecebecdabddbeacdeadcceaacacdbbceaecdabddaccdacaabdcedbceecdbdeddbbacecddbaebadbcbbdbadcdeadbaecacbccbdebaddaebdacbbdccdaeaeebacecbbcbedecdcdabcbabaeabcbeadecaeccdeabbcdbcdcedaaeccbbaaaeceabcccdcdacaccdbcccbaccebdbdacbbebbeebddacebbccadeaabaeaedadbabccbaacddcccaaaceebcbacddbcbadeeaabdbdebbdcaaaadddbbdabcbdceccdccdedabeabadcdbbdadebaaecacbbdcebccedceecdbabaedccbacdddacbabadcdbddcdaaaddcadbbdadda
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaabaabab
cacbaeecaceadadbebecebabccaadeebcddaebedebcaecaecbdedbdedbdccaccbcbdaeadbdadbbbaabebdacdaaaccaecccbeedeedacbaacedbbdeecadcdceaedebaeceebadeaaaebaaebececadabbebdeecdcdbcdacedcdbdbcceabeaeeeeeccecdaedbbededddbdabedccecdcdabadadcdeebeabbdacecacadddebaebebeacedecaceedacbbaedabaacdbaceadaececbdaadbbbabcbdcddcebddcaecacabdedabcbaceebecabeecbebbaabbaeacdcadebbbdddecaacadbecdcdddcacadeddbabcddcdabadbdcdbeadcddaebddbdaaaaebdecbcbbcbbcddbbbdebebdeddbbbbecccacbcabeeaabacacaeadebebdcceecdddbeeaacbdcbbbabceaaaeedebbeadcadabaebdbdedcceeeedddbcbeebcececaeeaeddecaacdebdccebdbdadbbeaabddbbdceddddbbacbeacdcddbbdedbcadbacdabaacadabccaccccadaddaecccaedcdaeebeeadebbeadddecaebeeddceaaabddbcbbedacebbabcecbceaeebcbbeddadbdbdeabcecbcecacdddddbacdcaccbbeaccbeebbdabebecdaabdadacceeccdbececdedcbdbbabdebecdcbaacbdcdecdadbeddbcccdadcdeababbdacbdceaaecbccebbbecbbdadcddcbbededbeccaebbcdadbdbacbabddaaeabaaddbecdaeedcbbdabbdcccdecedcececcadbbcddebbbdcaecbdebcdcccaaddacceeecdeebacaadacccdbdadbaabdbbbdbaeddeeaaeabaeedccaeaaaacceeeeebaeeeaeabdeeeaccabbdcaddadbbeeeeecdbecdededaeeccdccabecdaaabedaccbaddebeceddcdcbcedbbdacddeeabebeecaadeceacccedcdcacdbbccedabeebedabeddaacebecbcacdddcdebcdbbdeaeeedaaecabbdeccdaabaeccdbaeacaedbbaeaabbceadaddedeaeddbddceadccceeeadcccebaadcacecdbcddeedcccecbaeeabaccceebeecbbabaaceacdadbaebbbdeecbbeecdeaeadcebeeaeadbcccacebcdbbceeeceeaedadcbdbebcaceebceeaccbaeabaebebcecedecddbbaceaaaedbbeddbaebcedbbcdedecadeaabeeaeacadcadabdabccdebdbebebacdbeeabeaebccadbbcbcabdcddabaddadceaddcaecdaddcdcddddcadaaaebcccecccaaeadcdaecbbddadeddebcaeedacaeeabbccbcbcacdbbadbcebabbacdaeaaebccedbceaeeadedeaabcacbdddbcbeddbaccbdccdbabbcecbabacbadcdceeccdbccdeedaccaadebdbeeeedeaccddbcaadccaaddcbdaebaedacbcbaeeababecedabbeadbaaccaedabbdddbacdeedbeceacedeedbcaceebdacebacdbeabacadaeecebedeebadaaabdceeacdddbdeccadbecbdbecbcbcbdcbaecccecedcedeecbceaeebaaeebeeddbebeedcccaaddeccdabbaddeedbaeeddebaeabecaaeadecaacbeebdececbeebebbceaeeabacadebcdebadedbeebacdebeceeaaeabbbcdbdccbdbdbabdadadaeaaadedcdbccbdcdbbcedbbeacdcccedaaaeecbddceaaadadaaceaeeadaedccceeccdbdaaebaeeebcddcedbacecacbaabdcdeeaddcabddaebeacaceccacedbeecdbacdecbbeecbeaaedebadeddcbdcadbceaadacaeaccbedccabecebdcadabcbccbdabeccceecbdacabdeaedcdbdbbddaceebcbadbccbebbcbcabeabecedccadcabeabbccaabacbccdbccedbbececdcbedcaeaeddacbdedecedcecaebceadaedecebbacbbdccecddcacecdcdddbdbbcdbdddccebcdaabcdaeabadadcdbbceaadeeeeeebeaecdaebecdedbedeadadccbeebaddbebcbaeaeeaaeadcceebceeeacbedeeceedeebbbeeddaceabdbaccebdbadecebbbdabbbedddbecdaaddabaaeaeeddbabeeaeadccdcbeebdacdebbebdcdacdbcdebaebbedccedbccadbdbcceeeeccdeaaebeecaadccbeeaabdbddddcdecbbbcacbabeabdeabbbaebeaaaccdecbbacdcbbdeddbeacbbabbaacdbeadedcceedddbbaacaabbeebbeebbceecbcadcddcadeaaedcebbbabdcbeeedceabddbebebeacddbbaccdcccbacaaccabaadeccbcdecdbdebaaccdaedcddcccceaddcdcbbabbcebbbdacbbdaebbcebedbbeecbeaaadbcebdceebecbdebcdcbdadacadedacebedceabbcccadaccdadedbabdabebbeecddbdeabbeddeaedbccaaceaeeaccaaedbebcddbedadcdceeedcedbadcdcedbbbbbeabededdbdeddacdbaacadcccadcdbbabaaebddebcccdbdecabbbdcabebadeaebcdaecccaabbebeebbcddbcedabddbaeeeacecccdeeadeaaeaaccacaddaabaabdecaecedbeeaeaccdacecedcbcdbebabaaaadbcceeeaabbeebcdacbbadbcbeeeaeebcaacdaaeddadecdacdeeeecdbecaedbbbaacadbaabacadacacadabaaebeebdedacedaacdacdecbdaacabadbbcdbbedcaedebddbdedeaacddbdcbcaaedceabcbcdddeaacbbdadebeababacedddaddcdecebdcccaeacccdbddedcaabcbbbdbcbbbbacecbbbedebacddaaedcbebadeccdecbccccaedbacddcbdbebcbbbcadbaaeadaccdcaececadbbbedddcebaacaccbecbebdbeaabbeddddbdccaceacaadddbebdebcacdddadadccbadeeaecddadbbeebcecaaaedcadaadbabedabedbeceaedeaebdeceebedcdecbdbbccabaddccaabcdaacaeedbdeddaddeabdbeecdecbdbcdbdecbdededbaeeccbbcdcddccebcccdbcadcaabaaaddabbdaecbecaccbadabacceecbaebbbdceaeeddeaeacdacbcbaebecbadcecaabaeacdabbdbebcadcdacbdeddebbaeacdcccabcabdddbcbaedebeabdbecdbdbeeddeeebddaeaabbdbedabcabacadaabeadcaaadaddadcddaedcdabbcdbabbdddadecbcaebecacbedadccdbeaacbceaaccacaacadccbcbccbeccadcaeedcbaabbccadaecabcccbadecadccccbadabcdbcbcceecbddcedeeeedaccedcacedabcacecdcbceecccddcbaecacceeadbbaedcbbbceebcddeedaeedadabbcabebeacdcbeaaeeeaeabdaeecdcaaccbdeedddeebebaabeeeddbbcebecddabddbbdaddbaabeaabeadbaccdabecebeaadadaeccdbbbeaceeaabdcdbdeababecdeddabddddadbbdbcbbeeeadeadeacababedbaaddabecebbbeaeedcbddbcdbecbaadbcdcebacecabbaaadbeeaaaecdbeecaddbedcacbeebbddadcdceeaeadcddbabeabdcabdbbceeeedccdebeaadddcddcaeaddebabaedbaeacbccdbccdbbedaebbcdedccdc
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
eadadbededadaabbbaebdeacaededdccacaedbadacadadadcceabceaebeaeedeedbbaaededbcbbecbeccccaaeeaaabeebeccbcedcdaabebceabdeaedbeadedddccaadaeaeddaaddebededcbcacdabebdcbbabcdbcceeadceeaacabcaaabacebdeacddceeeaabbceeacbeabbdccbeccdabdcddaeabaebeeceeedaddeceabababaacacedcbccdabebaadcabbdeeaacdeacdeceaabcbbceaaabddaeebbecbaecbedbeccadecdaceeabadbcbdddebdeeecdbcbdbacccecaacdaebcacbdbdecdedabedcbaeeaebaddbcacddbeaddeebaabacbcbbcbdbeaaabacbdcbeceeabddddbbedebeaddcdeabedbccbeacdaaabbdedcdadccacddadcddebbaccabebdbcbdeccdcdddbeaabcadcccbbcebbaebacbddcecbaacccaaecebececccbcbaeddbcbbeecaacbcacdcdbeedadbdbaadceecaaedacdaceeecbebbadcbabdebebedcdcedeebcbdeebacdeebbabdbededebeaeacecbbcbdcedbaceecdecbeddbcbdabeadbbecaacdaceaedacedbedbcaeacacacebdcdceadbcdbecaaeaadbaccccbdebedadaadcbedcacaceeeedaceeeaddcbdbacbddaddaabebddddabcceabbadbadeaaecdecacaedebaecedeebeebdceaeaeeccbbcbbdcebbaecabaebcbddeccabacbdcaadaacbdaaeddbbaadbddadcbedaeaddbdadbadeabceeaabadaaedcdcdacccdccbeeadaeaedccacaddeececdbcaacaccacccdecaabdadccbdedebbabaadcdaaeeecbcaeaabcceaadbaadcdabdbeebaeebcebcedceeedaceedeaeeeaeabcabbdabbbcbdacddeeaedbedccdcaaadadacadaabbdaeebeedbcbeacecbdcaedebbbceecbaaccaeccacebeeeebceccaabdecbeabdeedcebacbdcbdceaedcbecdbeacbaaadcdadcbaadacbdedaecbacaaecebceddcbdcebdeddddecacbcddeebbcccebeececaaeadacaedcaedeedadccaeeaedcabdbccddebdedaaedeebecadeaaaddedddabcdebbbdbecacebaecdeaaeabeaaeddecdbdeec
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaabaabb
acebebdeaaebcaeabdcdeabbebeaebceebaeaedbbadbabccdaddadcebdaacecedbbbbadbddaacaedbdbedcdbbeaabdcaaaaaeccdeadaeedcaadbbadbdaadadaedeaadbcecaddbacbbacdcabdaabcabeadbedbcceaeabbddeeceaeacddbebdadcddccddadbdadddbccbdeadbcbeadbeabbcabbbbcadbecccaadbaccdaabebebedeaeecbeececceaabcbdbadbccbeadadeaadecadbbbdeedaaabecebabbccebecaaacabababdccdadeddbdcbebeaccadacadceeddcdbebbbaeaedddddbedeedcbeebaadaedccccadcdbbbbedbecccbdbbdcabcacacdddadccaaecaeeebaeacbbceaaccddbaedbaeaaeaaaacddddbbabcebacbbbadeebcaeccaddedbaabaddcdcbabbcbebbedcedbedcccddecdaaddcbcccbbcbadabaecedbdeccbedabeceebbeadabdbdabbebcaabacdbabbabaabcbaddcedabbbadabacceeedadebcaeaeebabadbcabaacdacecbebebbcddeccbcbacbeddaacbcdeacadcbdbbaceccbbdcaddcdcdcaccbaabacbaedbcedbddbabbadadcacccaeeaecebcdabceacdbbdccebbdeedeebdddaecdcdabebaedaecdddabdcebbdabadcabbbecbadebecdbcbcdcecccabcdaadabcbeebdeeccbebcececadddbdcccebbccdaedbcebaabceeedcceeaddbcadadbeedbcddcdbddcbdabcbaecdecddeaaeadbdddbddbceeaacebcdceccdcccaababececbacbaedabedbbecabbbeaeabacacaddadeacebcbbaceadbdaeebacdacbebdcbadabacdcdbdeddbaecbaeedbabadeadcbadcedabeaccedcebddabeaadbcddaccceacbecaccdedeaaaadecadddedcddecdaadeedbaadcedebaecababeacceebabdeeabbdbebdccedbaaedcadaeabeebaadeecccbdecedebedccbabebaecadddebebddcbbdbcdabbbdbcdcbceaeebdcdaacdebbccbcddeddcdccaecddabaecaadaeabedbeaebebcbddbeadecbaeebddcccbcdbeceadbbcdddeeabbdecedecbedcbabcebecdcaabceccedccbeddcbacdebecbbbeedadaecebdadeabcccaacdbaabbeeeaaadddabdbccccbeeabebebaaaaedbbeebcbceaeeeeddcadaecebbeddbdbbacdadeeccbcabbbddebcbcceeaebbacdcbeedeaaecabecbdbaccacbdedaccabadaededaebecabcdbacbbbdbbcdebcebadabbebbbecdaccbdebebacdabcdebedddccbcbdbcbbacbccdcabdebbbebbcecbecadbedcdcbaebdcacccadbecadcbdadcaadcdeacaaebeabaeeeabdcaaacddbeecdeeadcbcdbcbbadbbbcbaabdbdebaeeedeaceabadcaabaedacdbdbabdcecdabcbbdbeabcaccccbbadcbabdeebcaaaebcdaeeaacbebdccaebbadbcebcbeddcccbecddcabaabbebcaeaeeaadcdbbddcceebadeddaebedbadceaeeededbacbcacccdbeccdeadeeebccbdedbbbbddddcbdcaacddadbababcbebaeeabbbcecdbeeddbbeadcceadceecdddaecadcecdddabaeaeaddddccaacbaaadbacdbcaeaabdbddacaeaaecbdbdcecbedcbbadabeedddabadbbbaaebbdecdccedbcecabdebaaabbcaaddedbbbddbeaaeeaccbbdebddaeadabadabaccdbedcecbcacedceddecaeadebedadcdaaebadbbbeddabaeabdcdaddbeebbcbbcbebbadedaabeecccbbbdaeeecadedacccdabceeeecbadcaeeaeabdbbbcdceabcedcaecbcadadbccbcaddebcdaeeecdadaebcbcbcbdaadeddebceebcedbcbdbbbceeceacdcecbbaedcbdbceadaabedbbbaadcbdbacdcebccbcdaabeebaadeddddcdcedeecceebbddcdaecebeceededbbdaccdcaacacedbcaacbbbaebbedaedecebbcbaceebdeeecebaebeebeeeacddcdddddddadeabeccbdddccecddcebecccedaaaaabbacbcdccbecdbaebacedabdbdeccabdadeebdceaeddaeddbaaededecbbaaeccbabbeeaebcbeadcbeebecaeacabedceeaeeeeddaedaeacbdabaebbbeabbebbedcedadcaaaecbeeeabcedeebdaacbceeddbaeabbcdcedccdcdebbbbebececdadeacaebdbdbbdddbadcccebbbbcacbaaacedbecdeaaaebcceeeecebcdddecbacdcdcadaaeccbccdeabcbbeabaaddcacdbbebbdecedbbaddbacedeacdddebadaeedeebddbacddbececdebdacadacaaebcaaadcebabeadabaadcbbecaccabecbbdcdadbecbabddaaceadbdeacaccaccedecbcdaccecbdaacccadaaedeccddcddaddaaeaaddbbcdeaebaecbebceedcacebdeaeabebdacdeebcbdececcccbddcebbddeebabebceccebbdeeeededeabbbaedebaedaeeeadbddebedeedeabcdccaebabacbcacacbdcbdeacdccaceccedaeeaeabeacbedaaaacdeabbadaaeebcdeaaeeceaeebbddceabacbbadbeccdeecdedacddccbacaadecabcbdbccbeebbcecadbbcbbcdbaadaedcbbabceddbdcbebccdbaebebcededdcaccecabeadaccaccbaaecbbedddcbaebdcaeabdbcabaaadadcecadeadbacbeddeadadbcabbecabaeabbedaecaeedbdabedbbaeeeeabcddcbbcaedeeecdcaddcbeaebdeaecaaeeedadbcebddaaceddaebceccdaeacaccbdadbcdababdbaecceedaaecdecebcbdbdedddbeecdcedbeabadbcecabcbdeecaacdcacdeaeaebbecbeeebcdcbddceaadbaadcebbcecbebcccabbdddbdebddcdababbdeceabecaacbecaaaadcbcaebcaddcaeecbceadaadccecbcdbcddbbaacaaeadcbaedabecbaacdadbbbeeddedbcecbebbdcddcaaaaeacaceaaceedbeecabbdaabcbecebdecdeeaedacedeedcaaaebdddbdeecbdbbcaceebcaceedaaeadebdadbbedaebccceeddbeccddeedcabacececdddebeedbeeaddbcddbbbaedcbcbdadabbdcbabddabbbdbdcceaebedebeeacaaeeadbeecdacadecbedebabbddcbacdcecbdcadabacddcbdaeaaaaaacabaaceaadaedcadebaadbccacedddccdceeeddeeebccaabebceeaebbbebedbabcaddadeacbcbcdccdeddcbbceacdbdccddecaeccdcdebdbebebecbdeaadbebaaebbdbcaebcbbbeceeeeacaeccaedcecaacdcdcdbaadeeecbbbabdadeddebeaaacbabbbbcbedbacaeaeeadaaddabeeddaeeaeaddeebbddcdcdabbebaadbccddcaecdcacbcceacdcdddaaaaddbaadeebcdbccbdacaeebedbcdbcbeabbeeebedbdeececaacbaabddbbceeedcbaebdbbacdccebdddbadbddccedcdedaecaabdaddcacccbcbeddcceedebdbdcebeaeeedbcdbbcadabaedaceeedceceaedbeacdeebdedcaebcbaedcaaeaeccebdeebbbeeedbcacacaacbdbcbdbddbbaaeddcdcecebecabcbdaccabdcdebecdcbbcddecaeeedcecddbaeedcdebdcacaabebadcdacccbadcebaeeaacedddbababcbddcbbadbecccaccbeaccebdbadcaccccdcaebdbdabcbbdcbeadeabddeeecabaaaddcbddedabbdcdcdddddaeecabadccaddddddcdaebeadeadcadecceeadcedbeeceeaceccbdecdaccacdedbadeeaacdaaabdbdcbeabeebadedcbeebacebaadbddcdabcbccabccacdbdbadcabbaecdaadeabcbcbebbbbdecaeaecaabbeedaeceedcbdcdbeecceccbcbbdecbbdabcbdbdbebdcecddccbddcebbebebaeddecdccaaddbecbcaeecdcdaaddccdeaccdbcedbbdbecadadbbadeccdeacadbdeedadeedcbdbaaaeaeeaccacdebdaabccdecbdcaabcdaebecadeccebdeadecbdbaddadcabcecdeddecaabecbaaedeccebeaeebcaaabeecccebacd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaazaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaabaaaabaabb
aebcaeeddebabacdccdceccddbbceeecdcddcdbecceaabdcdadeaccbbbcdbaabdacabbbbaaaddcdacecaebeecacbcbbdbcadbaeeabecbeeadbbbbedabacbebaaeaaddbdeeccabaeacdbdbacbaaeccbcabbbacabbecddbccaaeedacdecdeacaedabacaaaecebeeacceecccacbcbeabdebdeccdbcbdedeeaebdebebbdecdaccdaebdcaaaeeecadbbdcbedabacdabceeebeedbabdaadbaedccdbcaddceedebbdceaacebddccbcddaaaaaccbaedcdebbdbbbbaeeecbabdbddcbdbbbbdbaedaedeeeedadbdcdcdddbbeeacddaaaababeeeeebbaaccbabcbdaeedbdbaadbaadebbdcbececbdbaebadebeeebecdcdeadabdddebabaecbceacccabaedcadbdaaeeabcbbcbbadbbcaaacbcccacddaccdacbccdedbaeceebdcdacbeebdbeebeadbebdbbcbdddebccecabeddbccdedbbcedeabcdddcecbebdccbdcbaacabeeceabaaadddccacbecdddddeccaaebaceacabbbeddedbeccdedccaddcbbebbacedaddcceeeeebacceddcdeaeedabbdcbabedacacebeaceebcaeeabdaeadbdeebbbdabbcdaebbcdecabebecdaceabbabcebedadccecaddebbedecedcaaebccaddbcededdcdbdabddbabbacdacabcebbbdeddbaebcbdccdebcedddeedeaededcccbedcccacbdeccbbbccbedcaaaaddeacceabeccbaacdedaaabceeebceabdbeadaccccacceeaadcbbcbeacbacebddbcabcddbdeaacebdecdbeaabdeabddbcbdbdecdcabbecbcabcdabbbacbacadcaceddeceeaedccbacabdcaaeccbcaeddeaaadccdccdadeeabbcdcccccecabceadacbcedaecedaddedceadbeaecaecbcceaddebedcbcecbcaeebeebecdecdddebeaddaaebebbdaccccabdbecceacdebbeedddeaaaecdbccbddeccabbdceadbabdcdabbbecddadcdddebbbeaacadadeebcacccbbcaccdeaecdeeaebcebedbdddceddedcedeaeaabddceebbdbdaadbcaceabdeaababaeccaccbcbddaceaaddbeaeaeeedbcecbbccabadebbbcaebbbeebdbdabcdddbbebabebabdeadbacedeabeecaaedacaeaedecebabcbaabaeaeeccaaceaebdaaacbeccaadbaebcbabaccbccaccddeebdedcddaebdeaccccccbeeddacabddcabaeebbeabdcdeaabdbbaebbcdbdeedcdbbacbedbbadbbbeabbeeedcccabbceccbdeccecaacbdbaeccddcacbebccdddaaedceeaacbdebccceedecdddddbcaabcbdecaddebaeaeaceaabddbbeccacdadcdcecdaaecadbbeeacbcacbdacdcaceeceebcabbbeadedbeebacccaddeccbbeebdbebadbdddecdacbdceeabcbdcdadaedcbaeedaceabadcaedcbeedeebbedbeabbeeadeaaeaebebeeeedaadeaecdadcbddadcbabeeceabcdbdeedaaecdbcabdabbdcecbeecceddddbdcadeebaabcddcadabaeebadaaeadadbbcaacacbbcedaeebcababaaeabeaeabeeadccddeccbabaacbddeadeeeacbebdcebebacbdaaaceaaecdbcbaeeebdaceaadcccdbdbcacdbaecaaeaadaddedcecddaaccabdddbaeedabebedcecdeaecacbeacbccebdbbebcaaadacaacbcdbeccbbbaaebdecbdaedacddeddacdbcdedaeebbcdadcdbebceacedbcbbecbbdbbbdddddaeddadbdaadaeccbbddbaeeeceaeabbaddbeeddebbebbdcebccdcaecdebcbeaaadcebedaacaeaaeadabeebabedeccbccccabbbdabcabacbbebaebbabcbeccbdbddacaaaabcedccedceddabaaeddadbbbaedaeadbdbbabaaeedacccdeaeacbeeccbcaedaecdedcdeaddacaabbcdddeaadaeaaeeccacaccbcaedcceaedbdcadbeceabdaddebadabdddbdeecddacecbbdabadeadeabbadececeeecdaedcdebbeacdaecdacbdeceedbcdccbcddbeabaccdaabcdceadcdbbdbecdbcacebeabbbbdbaacaaaaaccbddacbdaeddadcaabeceacbddbdcbddaddcbcbedbebeaaeebdebcbcdbeeacaebdbccaeacdbacbbbbcedeeccabaabbaeaacdbbbbdedbcecbcbdabdbcebbadeaacdbbddcdaacebbacedadeeeaebceccbcaccbbeaabcaccdeaeddbcccbceeadeebbbaadacdbbeedddcdcddeadaeebddebecdcdeeaeedbacebddeeaedeeecacdeabbebbaabdcdcbbeebabaadebabdebdbeeddedcbcbeebeadbdbddbababbcedbdadabdecbdbddbaaaecbdcadaeabcbdcabeecccceebbcceababeddbedaadddaeadbcddcbbcbeedbadbdddaebcdaabaececcadeeeaeaacadcedccdcbcbdcedecadddbeebbcacdaebcedbebcdccaccdddebcdbeababceadddccaaaaedbaadcbedaccdbdaccedadaedeeebeaacebbecbcebaabadadeddbcdbaeabbeaeadbcacbeaeddcbdbcbebebebbccdddabccbeeaaadaaaedaadcccddddecccbcbdddbcaebcbcdbbedeebceaccdadacecedeebdccecbdbdedcaccceadedbacdcccccbbbdadcedabeaeebcdbaedaaeedcaebedeacccbcbcedbbbecdbaecdcebdbdacaeaeaadddbeedbabcecbedeeeabcdeaadbcddeccaabdbaeebabadbedebebeeeceebcbdecbdaecbacedddbdcababdeadeeeeedeeededacaebaaaaaeeecdedebbaacaeccccacabbcdbcdcddeccdedeadeeabebeabccbdebadedaecbcacddbbebcececbcacdbecdedbdbbabeebedabeaabcebecbecbbbdbcbacdaeddabdaceccedbdeccabdcbcdacaebeaecaeaddaacddaecbdbdacabcdebacdaaaedeccdabadaddeebcbdbccecbbcdacdceabaedcaedbadeaecdcdceceeaaddbbabbdcdddbbedebeabcdeaeeabedecdcedcccabedaabddaaddabbaeeeedbeedcdbacbcdcabebaeedcbcceaddeceeccbddaceacaaabeecadcdeeebdcacbcaeecaeabbddeabdedecabdeaeadedceebacedcbbabacebbbceaedacbdcdbcdceeebdcdadeaecccbdebbdaadaadddecdeeebecdadccedabaaebbaecbaddbbeedbcdabbdbaebcbdacdcaeecadddecccbdcbbcebbeecacbaaecadebeeeaeecccaaaeabeaadedddbbebcedddabccddbbcbeaecdcdaddbbcbceaddadaddbddbceacadeccdaeccbeceebbcccbcacccbcedcdbdbdaaedadbbccebaacedacddebacbbdbadbeeecebacdbebdcaaedbdaabdaaacabadddbebddbddaecbdadcebcbbaadbbbdbabebaedabedbdecbdcaacbecdbadecdacadacddcebdecbcdbeedeaddeedecebddaddbabbdebaaaaebaeedeaaaaaaabeaeccbbbeedaebeddccdeeaaadbaaceedecaacaeadaebdcdaceaddccdadedceedeeeaceeedbedabdddcbeabebaadeabedcdcbaacacbacceeebddeeedeaecaecaadbdbcbaebaaddddadcceadaeeedacdcddeadbadcaecadbeccbaceceabbcebbaecdcceacdadbadedaecdbaeebdeedaecddabdaadccdddbaacdbadbecbeeceabdbdcddacddbcedbdacccdbabddbeedaebdcdbeddaecbebbacdaaaedacabadcdabeaadbabbadbcabdbadbbbbeeccaddbeacedcddeeeadbbaddedcdeeaaaeaeecceadebaceceaebbbacadcadbbbaaddbabebcadceecedcecbcdbcdacdedbcbbdacedbeecceddceeebaddeebcedcdcbcdadbcdecbaceccadcdbddaaacaaaaaeceaccdecdbaedddbcaccebaacbdcceccaeeecaadbdcbeedcdadecdbcaebcbbcceecccacabcabedbdbdbcbdcdbddddebeaadaaecaaeaebdbeeadcccbadcdcdabaabccdececeeebedacbaadabeabaadaabeaeaecbcdbddaebebdeaeaacaaeaebddebbdcecc
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaa
cdbacdddbccebecacbcacaaaabaedbcaadaebddbacdcbdeaddbdedbaccdbaeaacbedeadaadacabeebeeacddceeebaadbcebacacddddecbcedabaeaebdcabeccbedaddcdeaccaaacebaeedeebdcbeacbaedaceebbbeabbbcecedabbbeadcdcbbacdcdbbebeccaedbbeedcaeabeceebcaabacccacebdeabbebcbbdeddceedbcabeaeceaabcbadadccbccddacaaadcddbddaecedbeccdedaaabeadedcaccbbaddcddcacbcccddeebebecaaebdedabbbebcbaddbaecbacecbdddeaaceaebaadcbeacdecbabdedceedcaaaabaedddcdbcaebadceaaaaddcbcdbaededbcadcadbbbbdddddaecebaebabeedbedcbaeeddccadaaceccbdbdaceaabdbdcbedbbbaacaadadebbbacbbdceceebaebcbebaaebaebcdeebeeadcdacaedbdbbaccecddaeecebeecdccecbdccebdedeeadeeaabcebcdcadbbdcccacaadbdbecaebedddcdbbdcedacbacbaeacacbbabebbdbeebdecdbaebedceeecccedcddaebbdbdbbdadbddddbeabbceddacdabdaecbeeabdedcdeebeadaeecbeaebaeaeacebadcdeeccccdaccedcecdaaaccaceedddacacccccaacacabbbebedabeeaebebcadcadbdcacbacbebaceaeabedebaedeabccbdaabeaccccbedaaabedbeaabeedaeacabccacceeabaecaeeaccbcaddaaeeeaeccbeccaaaedeebcebabceadcdecacbaecececcedabbadcadadccdbeadbdaaebbeeabcaedecceaaddacbeadcdeaebbeddbcacbdeaadbaedddadddcddcecbbcdbaedcbbceaeededaebbccededdcbaedecbcdebadcecdbdaeabaeebbeccdeaacdaedabbccaceeadeccacabcbcbdaedaeeeebecbdecbaacbcdcedbbbcddacaaddaeecbedeaaaccaaaddaaeebbbaaaeaaddeceadebddaebbaddbbeabebccddadeeeeddadddabdabdaaaadeccccdcdbdcbededdbdbacaebbccdddacaddccdacaabecedbcbbacdcdcaddaeabaabebccecaaeecdbbbccadbdedcbadddeeacebaceadeeddcdedbedcccaaeccabeaeecbeeebddcaccdceeabccadddedebdeacdcdaddcdaddeacebbedebcabbebcbabebabeeacecbdabbcebbceabddeaccbebacaedeeaaeeaaeedadaaedcaaadcceadeaeaaeaaebddddbcbeadaedceccbbaddceeeccdadebdcedaecbbddbdaabbabdaedaedeacdbeabcecbecbeabcdeccbcdebebacabaadabdddacaccaeccbdbccbaebdecdecadaceaeabedacacabbbebbcdeaecbebccecaaccdecbaeebbedebdeeebcccddedcbddcbeadabcdabdbbcdeedcdbccecbbedddaedbdaadceeedddbadddcecebbeedeeddbbdbcbccdebbabeddcdeeddacbcbbdddadbedeebacbaeaaacaacddaaddbcbecdacdcbebeacdbaaacdbbceeceedcecbbcaddaebdbbbcdcaadbbaeaeddeaebdaecdacbacbcabbcbbbddcbadcadaecbcdbaebbcebedcebeceecdbcaaaedaacccadcabddbebbcbbedcdddaebacdccdadbbaeaeccacddeabccceeecccecdcaacbeecbdbcaecaddebccecdaaedbdaaadbeadaccceccaccdbaacbdeddaadaeccabeaaedcacabeccecaddaebbdedecbbddeaaddbeabacdbcdbceeddbaccbcebbacdeccddedeccaebbbbdeeccbdaebacedbbaebaebceceaebbcbdddadacaddddacebaedbdbaccabeaebcbacebceebdcdaeedbcdccccecbcdaaeeebbeacbedcbcebdcbddbedbeabaadedabeaabdbbeebdacecdbbdcdaaacaadaddceeeedaaaabdbdacdddddeeceaaaaaedbaabcbaebcadddcbeebcbdececaccdbcbadaaacebbdbaceaebcdecaaeeacdabeeddbcedeaaeeccaceaebeccbddaebdbcabeebeadcabdceebbedacadeebdeceacbcccaddcadadcdbdcdbccbecadceeeaadbaeeabceaeceabbbabcbeeaaacaaadaddaeeeeeaedccaecebdbeecddbedebcdbebdcdbcaadaddcbabbececbaabbcdbbbabddcacbebbdeddeacedaeaeeeaaedacdaaebbcbadbeacceadacabadecaacabccbbcdeeeebeabbbbdeaecbacbbcabbdadadecacceedebeabdbdecaaccdeabccadecdabdeeacdbaeaaecadaabaeadcdcbaabcdebddeebbcccbaeeeecdbbbaaaaadbcccaddcdebbdbeaebdeadbebcdcdaeddecaecceeaaabeacbaabeadcaabcdecbcbedabadbceadbdeeaeaddeeadedcbbebebdacabdbdebddadbeadbadacebeeeeebcaacdaaadddbdadbcabeacaddedaddccdaaebcaceeaddabaacdeebdebdaaaccbaacabeecbadacaeabbebedadbdaaceacccbaebcbededecddcacaeedabbabadbacbdcbbceaecdcecbdbecdabbeedebedecacceaccbdabdbbedaedccbbedadcbcaaeacebeebbbbbadadacaaeabbbbabacddcdddcacacccbcdebebadbeaaabbadebaedbaecbecbbeedbaceaddcaeabadaecdadecaabdcddebdeceeebdedecabdcacdeadacbebeedebabbbbecedbbacecccedebbbdbccdddeeacbcdceaebaeaedecbbadedcaecbaccabeebbabebaabcabbbaacacbcdeaeaccbadddcaadedddceecaeddacebdbcdacbdcbabcecdecaaaabecaadcbbadcecaddcebeeecabcbaeadaeaddcebaccbaaebddcbaecdbdadbedbadbcebeaacedecdacddcddaadaedeaebccbbcecdadecebbadadeacbdceceeacebeaeedcadedaeebabbebbceabbaecacadedbbdbececaacbabadbbddbbebaceddebbeabbcccaaedbdacadbaadadedadedcbacdcdecbebabeabdadbacbeaededaddeaecdbdedccbddeedcdbacecabeeeaddcacbaaddacdebdbcebdbbdcebeaaddbbdadccacdddeecdaacbcbcebeebdbdaadacebdcccabeceadaadaecbcadeabdcabceebecccccaedadedbaecdbedbabaedcccaabbadabbbbcacddcdcadbcddbbbbacdebddcbaddeabacbeceddedcadaaaeceaeaaebedbbebbabbdddccaeeadebdeaebadedbaaabbdaeadadbeadeacdeecbeabceaebeebdbcaecddbcababcaddaeebccaeecdcbcaeceebadeaeccedeaaaadeaeedabcabedadeccbcbdcddaacddcdaebbcddebecdadcdeabaeeebcdaabccdadebabaccebaaccddadbccccabaeebcebeeaebebdabdebbbbedaacebbbaccddebabcbdbbceeaecdbebeecdbbbbcbddaeebcaabcbeedaecaabbbebebacddbbcbabdbcbbdeebcadcbbddadbbcbbecacedcbaeaadacddeaacabdbbabadadceadcceeccbaaabddbbabcebcbcdddccbcaedbbeaaeebeddaedddbddeebddbedeceeacedaaeabcabecdecddeaebacbaaaeececaecddebedaccabeabaadbcadadebbedccabccceeabbdaaabeecdeedacddbcbbaaaeeeebebbeaddabcdadecededeabcadbebbbdcbbabadbebdcadcddcddcbecbeedccbdeabdabbeaacaaadbcacdddceaaeccdcaebbccbadadeeacdecbacdddbaeccecbbdecadcdecadbbcdabedbacddcabadccdbccacbebdcaeadddddacbdddabdcccebcbccbbeccbeaeaabdebdeabbcedecbcceedcdbdbdaeceebbbaceecdacdacaddececcddedcdeccbbecccecedabbaacddbcdecacaccacdbabdeebcdabbdecbccbbeeedebecedbbbeccbaacaccaecbddcbcaaacbcbaaabdbcceaeecaadecacecddebbbbcebcdbbbcdebccbbbddcacbccceabbbeaacadecdadcedbbbecacecdebabcadabdbbaadcaedecedabaddabccdbdabbdacaebcbeadaecebcddeabaecadabcebdaddadecbedabbdedbaeeededcbebbeadebc
aaaaaaaaaaaaaaabaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaabaabb
abcddbccdadebaeeaacdbddcecadebcdedeeeadadaccbbccddadbcadabacbbcddcccdccecebaabbaaeaaeedbcceddcbcddddabbdaadebbcecbdeeccebacedcebabcaacdadbeadedcedeeacaaaedbcddecedddaacddeeccbcdbdaeeadbccedcdddacccaaceddeaaccccbbaabeeeeddbebdcaacbabededccaadcebbdabdeedbbcdbcadbdedacabdcecaeabcbabedbaacaacacbbadbadeddbaceaececbaedeedbaccbdeddebaccdedaadaccabecddcbbdbbaceaececacbecadcceaebedeadbccdadabbbdebbbaebccbaadeddcddebdaeabdbceeadacbddebabacbaeadcedacceacebdccebacacabaaabdeccacccbddeaedddecbeeacccbbdcdcebcbecbceaeabadacdbbebeeabddacabcbbbaebcecabacadbaaecbdecdcbbaaedaededbdbebdacccbdacbceadcaceabdcbbbcaeadbceeedebaeaacbaacabadcdeeabdbcbedcabbeebacbdecdcdcdeabddadedadc
aaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaabaabab
dbcbeddebacddbeedcabeaacdbacbcadddbdcbdedaabcacdbbcbdeebadcbaadadbcadedeecdbebeabedadcadaeddccebcecadbaabddabecdcbddeabbedacbacebdeabadebbdbeacdbadeecbcaddccddbaacdecbbbdebeacedecccdeebddadbbeabbaaddbbebbecaddbaceeaececdbcbeddedaeeabacaeaadbbeedaaabeeebeeaecdeebebadaaebdabaabdedebebccabbdecdccccceeecbbecaebccceedbcdbdbcaabcacdcaceccccdedddcbeeadaedddaeaaebadadcaacdabbebbecaccebdbadbdddaedcbabdcbbeceaecdbcebccccdcacadbadbeeacebdbbacdbebaabbacdbeeddbaabbabbecbdcecacdebaaceaeddceeadcaaececacdbccebcddebcaedbbceebaabadebedbedbbabaacebbaabdebbbabaacedbeeaedcbbeaddadedddadaeaeecdaedadabbcdddadadcbdaddcbaeebcbbcedddbaaaedcccaeadbdabeaecaaaedaebcacbaadaadcedeedccddbebeccbddaceebddaebbeceeccaacedcdcbceeebcdbbddebcbbebaedeeccddebebebbabebcadbceabacbbbcaaaceeebdbebbecdaeccaaeeebdcbeaacaedbdeeaadebeccdeeccadedceaebecdeccacddddbaebedabddceaabcdcecccbbaaabaacaecabbbaaaaadbebdeebcccedeadbadeabaeabdaededabebbbabbbdbabacddddecbeaadceececbeccbdbbdedbbccededabceeecacabedaeaddbccaeceeedbdbecddabbbebebcadcacdbbedaadedccaeeeaaecddccbbdeeeacecddadcaeaabdcdacdebbbedbeadedaddbebbcacbdddeaceccbdbbebecdaecdbeeaeecaeddbcecbbbabdaaadeeeeddaecaaeebdbcedbdaeeeeabcdbbeccbbbbdacaddcecbcddaeccdbdbeaeececbebbbabedccaadebcecaaebacccdceabcaadbacbaecdeeebcbcbdddceceecdeeebbbcabccdecbeeaabbdaebdbbaecaaebbbeababbbdcdeccdbebebeabbbcadcacaebddeccececedbcabcedcdccaeccacdbccaedbacdcadaedacedecaceadcdeabbdaabbaccaacbbaaebbebdbacedcacbeeeedccebebbeccacaaded
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaabaabb
caeaaecebdcbabaecbbeebaacebbeccabacedccbeaecacddebccdbebdedecdadcdeceaaabccecdeebccbdeaeebddddbdacdabecbccbccacecccbedcbbeceedcccadabeccebabcebebccbacabccccddaeadacdecabebebebeacbceaccadadddecaecdecdbbdaaadcdcadbbaebebbaeacbccaadbcbddcceccdcbedecdbbbeddedecdcdcbcceaccbcaccacdbdbaacaaeaceeabceaeccbdbaecacdcacbddabbeebcecdcdaaecbcaadbbaadddaebadecbbcdcacecccadddccbebbadabcaccaacdcadecbcacdeedaddacdaccdddccacaedbbecaaaeccadcedacadcecdccbcedeeeedecdcdeeeceadeedeeeabaacdebadabaaebbcdedadeaadcedecbbcccacabaeeebbecabedcbacedcaededaeeecaddaeeacbdbeccbbbbedabebebabdbccddbdaebbcdaeaacabdcddaebeedbdcdeebdbdacdaecbaceadecacdcadeeacbdbcdaddbacdccaccbaacabbbbeebedbcbacaeebcabadacbdcbdbdeeecbcddbcccecbcdeddaaaddeecebadaeeacaceacddcbacdbaaeabccededbaaddebccbdacabdedcaeeebabeeeeecbaaebddeaacededecddcbdbadccbbabdeaebacaaebeeeddbedbeecdcaaebaeaacbecaedababadabedcbdcdaebeedcdeacdeaeaeecbdbabceebcabeadceacdebedbeaecacbbeeaaadebdedceadadedbaedcebccbaacddcccaadabeeacacbebcbdecedebcceedadbbacbadcbbbacaedadaabaabdecedbaebecbecdedaacedddbbbbcacacbbccadccbbabbbedbaedaadcccdbebbccbceeaabacbddbdbaaebdebbdaececeddeebdaddbacadddbbbdedcaeccbcddbbaddadedadacecaacddddcdbdbaeebceabdeebacabacbcaaacdbaaacabcabcdbededdabeacebcadbebbbdebedaabadccdeacebcdddcdbaaabcebdacebccdbbdabaeeedbacbecceebebedddcdedbabecccbbaabadeddbcecdbecacabbeacabdbcdccccadbbbedacdaaedcbaebaededdcecdbbddabeaacaeacdcecaddabaccdcdecdcbaeaecaecaaebcaecaaadebadbcabdabadaaccbecaeecaaceaebddebacdddeeddcceaeeadcdbdbedeeecacbbdeabacdcaeecedaedeacbecdacdccebbccaedecaeacaebdcdaaacdeebadcabaccccbccbdcdccdcaeecaabacbebccdeddcbcaaddbedcbbacbabebcbecaddbebcaecaddecddccbddbbcbcccddacedbceaccbdaebabaccaaeeeededcddbbbeebebbbdecadbdbbbaaccddabeecadabcbcecccccabbadeaacbeceededcebcebcadacbbaceabbeeabddeecbabbadacdceccbaeabedacccecdebacbaeeeaedbbbbdaaedebbdcaccceceececebaabecbddaedbdcbecdcecabaaaacaeaebbaccdaaadebaadaecccdaaeeecaebbecedbbdabdbcaceeedeebabddeadcdacdcbdbeaeaecdaddadaccababeebacacebeabaadacebcdebdabeecbbddacabbedebaeeededbaabacceddedecabbebebbdcaaacdaddcadcddceebaacbedacebecedbceaadddccddacaaddccdadabaecdcebaedaebdaebadaeadcadceeebcbedcbbeeeaebbbabaaaebbaaeedcecbbcadabecbadddaaeacdcdaadcdbeabeeaebaeaeeadcbbababaccebacbbaacbddddcdcbbeaeeaecbadadbdeebaaccdacedbbeeddebeabadeccdddcedcbabbdeeadddddbdddcedcddcceebcbedacaaacdcdeadbadceadcaeddbccdcdaacceeadeccdeeeacaecaeaebabcdbddddeecbcbdeeaededbebdcaecabbcbccbacaebcdceddbcdbebbabbbbabdedabddcceacbcedeacbdbeccddcbebaabdccdabedcececebbbbabbdbcbbaeaddbabaacddedcebcbcdaeadaaadecaaccbabcecacedeacadbdabaeeacccacadedcbebbacddcdbdecbddbdacbaeebeaabdecbcdaecebeadddaadecedaeeeececabbbbaeeceddacdabdbdacdbcaadaeceaadabeabeeeedddaacdacccddaceebcbeedadddeeabcbebddcaadcebbbbeceacdbacdacecbaebddcedaacebaceeaeebcacdcdeabaceceaebaecdeeaecdaeeedecbdecbbbceaaeabddbbccecbbcaedcacbbdcdedebeaecaaaedbabadbaadbebcececaddcebddacaacedaaedccbaebaededcaeabcbacaeaaeebbcbadceccdcabbebbcebbabbcbeceacaccddaaddcebccaeaeeedabbedeacccdabcaaeaedceedadadcbcbacabbddcdbbbdabadbacdacbaaeacdaeacadbaeecdcebbbdebcbccadedbacdbebedddaaadaddeccbcaeaeadadccaaebdedbcbbeebcccbccdbbdbedbdddecbecdabbdaebeaaeaddacebcbddcdbbacadeaceeadabcdbcacbdbbeccaeceeeceedeecdbdaecacaecaedebbaeeddebddececeeedbeadedeebccacedbedcadbcddbceeceecbcdaeeccbcdbbbadbcbdaacecddbeaededceddeeccdbacabdaeeadedaddebcaebdbdeeedbaeabbecabbeddcbaeebecddcaeaedcccaeaececbceaebbceccccdcaccdaeeaecacdebdbeaccbaebddbdbbcdaaeededcabcbabbbdbacaceaedabddbabeacbcddceccccccabadeacaabddbdaecebecdaeaaacabcbbdaebaabdbeadddeacdecabeebceeabbbbdceccebdaaacbdeceeecedeadbeedbacedddbbdedadbceaccaccadaaaeeaedabeddabdbecdeeadecbdbebdddabbbbbeeaeccddccdbeeabebcebabaccebaabdddcaccdeecccbcaaceaedeacabdbeccbceacacccdededdaedeccbeaeeedbbebddabbeabcbacaddeecedbbaaaeceeecdcbaeaecdadddaebeddbbdeccbcedbccdacddeadccabedaecbbbbeeaadcdbeeacdbaabebabbacceebbacabcbcebddcadbcedbbbabbceabcbededcaeccbcecbbaddaccbcabdadcaeadcbccbbcbedabedbcdcbbeeeebcbbececcbbcadacdceccedcdcdecceabaedbbbddeceecdeeeebcdbbeadabeacadcdaebaebdabceaeecddabdccadcebdcceebaacceebccecbeabcccaadeebbaeaeeebdedcdebcbedaaddbbcedadbeabaecedbcccbcbdeeccbdbacec
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaabaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaabaaabab
edcebcbbccdabcbaebbabecbbdebaabdbbbabcddaeebeaadbeaecbdeedadaadeadddbaeaccbbdbeadebcbcddccbabebccdeaedacaceaddeaacddcaaacaaeddeaeabcabadbbbbcbbeeacdaaeacddedbedadececacabecaadcdacebdaacbaebedceaebcbebebcccdcabdaacebbbbebcaabaaddeaeacdaadbcebaaabccabcdbeeecacdddcabeddaaeebcdcbecdcdbededcbcaaebbbeaaddbdddcadadbddeedabaebdecdbbeaaaadbeddaedceabcbdedbceecbaaeebabeaaaacdddeddbccbbcedeaeadbbadbdbebbccddeddddadcdedeecddbdcaccebbcceaacadeebadaedeeedbabdcdbedccbeadeaecbdddcabbbdbbecbecaddcdbdbdaaccccebaaeedeecabaaeabdbdebebeceeceeaaaacbeedaaadaeaaebeacadadadcadcdaddbdaeecdcedececcedebbabddecebadabccaeaadeddeadcecccedebcdaeccbedcaddcbecbcebadeeaacbebdceaeddbacbdbbecdebdcebedbbacadbbabdddcbddadebdabdaccbdedecdbdedecdcadbcdbdbeabceceeedaeeeaebccedbaacbabcccccdbacedeaaddddbababeebdaeaeaadccbcecdccabdbddeeeeaeacedbbbedbcdbbbabbeacbeadccccbddeccaebdedeadecddbdcbadbddaeabcdbbbcecbcccccecebdedbeacbacebeedcbecbecbceaedbceaaeabebbadedcedebddaeceaddeeaaebeaaeababddbcedeccdbdadcebaddbcaeadbdbbecebbceedebecbeeebabebecbbedbdcdcaebacebeddadadaebccabbdbececcceadedaceddababebcdcccdebbdbddaacbadadecbaacecedcecdeeebddaaaaedcebacacaaeadbeacedddebdedaabeccaabaebbdcdcdccdaadccdeaacdaaccdaccbaceedddbabbabcdaeecacdbaedcbaadcaacaeccaabecacbebcaebdaabbceddcdacdbbaddeceaeeacbbebdaddbecbcdecceeedeecaeabaccebaaedeaceebbadcceacdaacdeadaeedbadcbabcebedbccbbcbbedcdaddaabeeddeadcebecaebadccaecbdacdeeaacdcbcdeaaccecdacccbcbcddebceebeadcebdaaaeeebcdacaacddacdeaeadcdcadbcdebebbdeaebaecbdccceacaeeddbceecaeccedcbdbdcadacaceeabbcaaabddbaaaecceedcaeecdbdaaaddaedbbbbbdabebceabccbcbacbcadbacaacadcbcdcedbbacddcaadccacceebabbceebeeeabebdaecacbcadddbddebbaabbadcebdeaabdceeaeeecdedbbeeaacbceaddedeccdcedbceddacccdedcbcdcaeccbdecbeebedbedcccacbdbeebeeeeddeacbbedadecbcbddbbbbebdcaecdcacabccbdadedabadacbbaeecebedbddbebcddddcadedacedbdeabcdbdcacbabcbaddcecbddabdbadacacccabbedbcbcabebedacebccbbbeabacbedbdacecbacacadeebaabdababcadacecedaacccbaacaccecbbdecedecccedeeaaadedbedbbeadbaeaaaeecadbdeabedceaaebebddeceacaaabebddaccdebbbcbdecbebbecdbddcbaadedeedaebeceabcebadcabdcdcdcacaeaababcaebeaadbecbadabcebcbbbbaedccdeadcbcbecdcceabdcbddebdccbaaabedaabeeaceaddebaabebcbddbbaaaeecedcdbaecbabebccecddebbcedcaacecbccedcbaddabcddabeadcbeeddaaccceadaddcaeedebcdccaebceccaaaceeebdcecabaaeebeddbedaacdaaabcdadccaccbcdcdbecebacaabbcbbececbaaceabcadbbebdaedbcceaebadcacbecdcadcecabadeaaacccecbbedacceecdbdebdccdbdeecdcbcedbccddebcdacdbbeccbaccdaeddcdceeeaadceaaaaedaabcabbaeadcbccbddaaeaaecbceceeeababdbbeebcdeebeadacebabdaaceddeaeebdaaecccddceabcbbcadeaabcbbbbbcaeaacaeacebdcebcdacdcccebbaceccecbcecdcedebdcbbaecacbacbbbacecedcadeacbeaedaecbaeacdcdbbdadcbbdbcadccdcbcddbbabadabaecbedbbdaeebdcadacdbbcccdadebeceadcbbabdaccabaebdbccaaeeceeebbbcbbabadeeaedbbedbbdeeadccbcdddbcbadbeaaabcbbdbdeadeceeddabdeeebbdcbdceecaabaecaedabcdddedaaccbeedbeebaceececedcaecaeeabdbcbaddeadcebbdeccadadaecddeaebdbedcacaeecbdbdcddaceebbedaaebaababadaabbbaecaebebabcedacaeddbbbbdabeecdbaceedebaadbeeebddaabdeadbbdcdebccbeeabcbeabecbbaedcccbbbabeccdbecddcbabbbacebedbceaeacdaaaeaeedcbabacaddbedcbcbcbababddcebbeccbabcbbebbcdaacdecdcdcbeddccdbbeedecadbbdcacdbcebbcbbebabbacdbaaebabeacdddccbcdebeabcdbdccdbcbedaeebecddcddcbadcbbbcdcabaeaeaeeaaaeabbbdeacacccaebbcdabbaacaeddccebcbbbdabcedbadcebedeeecbeecaaccabbdbdebebcedaadcacbedbebbecedbcbbaeabecebbbddeeaddadcadcebbadbacbcbedcedbddadaadcaccacbacdaaaccdbdcdebbcdacdbdcddeeecebcbbddbbabebddedddbcedebacbcedacdecadaecaaabaaedbeedacedeaaacaaabeadccaabacdebaccdbebabaedebaecbaececaebbaadcecaddbdddbabeeeccdeccbbbcdeabbbddcdddbddacbebabcaccadacabdecbedadbcabcadebebebaaaeaabbbdbeabcdbaabbceaaaaadddeeceddecbcdecadccebeeacdeaaaeedaecacaebddbdaedcaecaadebbadddebcbcdbeecddbcccbbbabababdcbbdabbcbaccbeabbddecbceedeebeebbedecaecdaecaaadceedbaaacacccdbeeedbbdcbbaacdceeadaeacbadaadbbeacdccaceabbbbaecbdddcdaaacbdabadebeeddeaecdecebccbcecbadedbddbbacdddaabdbdbebecbadbabdbccaacaddaeaceadbbaeebdecbcabcebbecccedabdcaaddbabddcaccacaadeeaacbceddccaabccbbbeaccbeeaddbcdecddddabbebadcbceeebdbacebcdcdddbdbcaaaeacbceeccebcecddbaddedadbdaacabeceedaccbabecababdabbdaedcbccaaecbaacccaaacceeebcedeadeabdedacdeabbacdddadbcedceecdbddebaeebbdabdbbaaebeebbbaacdddbdabaeeadaacbccdbaaeeeebedeccaebadbbeebdbdaeebacccedeebdebdcbadbcbceebdeebeaedcebcbabedbdeeddebddedcaabceadebddeeeeccecbdabcddbcdccdbddabdaacdeadabcbbedbacbbabeeeaadcbcdacdbdebadccacbcedddebbcdaddedceddbbaecaebcccdceddabaedbacbcadccdbcccbbadbccbceedceedcbbcdcbdcacaeeacbcbadaebbbaaadccbcecacdddacedcddebbdaaaccadedecebbecceeceecaebcbdeaceaddaabebabbbacaccbbbebdaeebbcaebaaecaaebdacadcaeaaaebbaadaddebeecedccaccbcaeecbccacececbbbadaadebaadedbabbabeccbeccccaaedadacecbebebebcecdaaadcaabdcadeeccaacdbeecacbbadbeaebbbadccbceeeadcdccecdeecadaaeabdaddbdceaaacdcededcbaccdeebeceadddbadcbdaeaededdebbcabccbcdbeedcecbdcdddbcdeeedcaaadcaaddceecccabbdebbbceeddadaaeedbedcdeccbeabababdbaaaaccddecacbdedcbbecbaaacbeacedcebddbeaddcbbedeacaddbaaecddcedbcbbbbccacebeaddaecabcaeaacacacaabceeedcbcdcdbbcadddbbbcaebecbcdacdbacccddeccbaeaedbbcbdccebaaeceacbcadcdecaebbdbdcddddbddcbecbeedecbebca
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
abeeedaccacaeecacebadecbbdbebbbaddadaebccdeadedacdebeacdebadacbaecdcbcabecececddddcbaeaeeeeebeabccbeebaddbedababcaabbbccddcadddeecabbededebbeadeabbbdaebededebedddedaeabaceeecbcdbdbcaebaeaccbbaaccbbeebaceaaabeeccbecdbebcaebdcbbdbdeeeccbbccdcdcddcaabaebbedbaaddabbcaabeddbbbcbddcbbeeebeacbbdebdeeaedbdbeeddddebeadbaaccdaebaccaeecaddbadeabadeaddacdeacabbecebeebeadcddcadcbebadaebcebeccbdcaacdaadcaadeadeebacbebbdeadddbeebadeaddcbdcabdbdcbbbaeecaecbcdedaaeeacdbeedbbcadccaaedeebdeeaadadebabdbacdccabcbbcaaaaadaaddeebeebadacaaccebceecaceadaebeccccaaddbbdcddcbbbdbcbccdaabddcccabddbcbdeeeaadaeeaacdaedebdabcbcbceadbeecddddccccbeaebcdbddbabbdeebcaaabaedeaadddeaceadbdeccadaadedcbbaaadbedeadbdbeaccadebaededcbadbebecbbddcdaedceaaaacddddaaccbbacbeeaecacdddaeebbedcedbeeaeaedeedacdcabbebbbababdebbdacdaabeeaceaaadbacdaceceabeeceebbbccbddcdcabdcdacaedeabecceabceecbdbbececcdcaaacacbbcaceeaebceabbbdaadddbecbeeecedccdabbbecdadddcebeeaadaabbddddcadeadbcbddbcaabddaabddbbbbdeacaeaaacbcbcbabbeadeaecceceddedddecceeddbcbecacbcedacecdcaebbdceaecacecbbbeddabbecebbbedbedbabbddedeeabaaccaaadbdeaeedaeecbaceccdadeecedaabeecbadebeeaeedacbceabdacdaecdbcaccbeccbbaecbddbacbdccaabbccdaaedaaecccbadadcccddecbbdddededeaededbcbdaaaceabbbdbecbcbebecdbeabbaecaadccbcceacdeedcadbbbecabaadddddaedbabccbabadbcddeecdeaedbbeaeaaeddecaceecbabdbcdbdbcddecbaedaabacabecdebeaadeebdebdcadbcaceeddcddabbbddbbdadbaecebeeddebeabbcbedadcebbcdeccbaabaddbcabccbacceaeebaabaeecccabeaebbdddbbdbcbeaebdbbbcdedebeeedebaadeebbbbcacdaadecbaccddaabbeebbccdebbcdcdbacbedaeaaebdbdceebbdaebededbcbaddecdacacbeeecbdbdededadcbeeabdddcccedbcaadeecaeaebcbdbeaeccedccdbdaaacdcdbaacdcbecdeeebddecadcdbecdbdbdbcaadbdddbbbceddeaecdedacdedacdccbabcdabeeabcdedaadedbdaeaaebbabadcedaaacadaabbbabebecaeaadbbbdeaedbecccebadcebdbaebdacbdcbbbaebcdaeabaceceddbdccebdbbbbbaadbcccbeecddaecdcacceaccedadaaececedbdccbecddaceecddebcedcacbdbdbbdcacadccabccabeaaccbcbcebcdaedcabececaeacbeeacbdaecddecdbdebcbeadeabdeebebaeaeaabbcaabbadcaabcbdbedebacbbadbcdeebbabbbdbaaedbbbceedcdacccadbddcedaccddaeaceedddeaaeeaccbebddaeccbeeadbaebedbbbbebdecaedbdbecadbddddebecddbdeaaadecabebcdeecacddcbabcbedcdeedacdeededceeacabcdebecbcecaadbdecdecdeadcbceceadbabaeecbbdbedeebeacedaeaecddecbdbdedbbaecdbdabedebeedbcaddeacdeaeaaacebbceccecdabdaabeccbbdcd
aaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
ddbbddddddeecdcbcbaaebcaabbcbbbcabeaaecdbbadbeecceebcaccaeababebbceedccebebdeadecedaacadccccadbaaedbabaaaeddbdacbaacccebdbedbadcedebecbaccbdaaadbeedabcdceaceeeddebadbaacbddabcaacdcddbbacbeebbeeaaeabdddcccecacdcaeccccaabcccabccdaabeeebcebeaeddbacabddaeaabdcdcaadcbecdeedabcecccbadadeaeeacdcedceaeacddcccabceaccdbdecdaaeeddbecebadcbbeaededcaecbecdaeabddadccebcaeeccdaaaddcaadbeebbacacecebacdaeadcdeaaaabeebbeeeacebcdbdeebbcaabcaedabdccdddabeaecbaccbcaabeadbaceececbbbedcbaceecaaadcaeaedbbdbdddbabbbcdbdcdbdbbbbceacccddcbcbdcdaadedcddebabceabeceaebcceaabedcecddeaeabccaecbeebbccbecdccecebdedcccdeaaaabbbaaccaddaeeedcedcaaaeadadaeebdbeeaaecbcdcdaadbdacedaebbadcbdbcacddcabbadeebabcebcbdccbdeadbdaedaecbdebbaddcdccacececbecbbebceabcdbeebbccbcecdcaabcbdaadbcaebeacbddccbaccadccaddbbaeceddbbdcdabcdbbbaabbecdcbebdbccddcddbbaeacbccadcddaaabbcdebbebdcbacabacbcbebabbccebbbbcedbdebdeacddaccaeebaebeebecdcdbdbadddabdcaabecddbbeabedcbeeaeebadbabeeeabcaeeabcceddeeaadadeccabcbbeeabceceedbeeaacdceeacedabbcdecaaeddccdbabceaddbababedcedaeeeccdccdcedeadeaacbceabaabbeceaccaebbecbedbbcabebdcbaddccebbccddabdbaeadccbaceddeaceeadceedbeedebecaadcaacddbaeaceedacebaceabeedddaddaddebabeaddcbedaacceeaecaacbebdededdeabbedcacbddaacbaeeccacdeebcbdecaaadaaeadacbedcacccbbeaaeecdabceacdbecabcdecbcbabbdbeadaeceedceabcddddeeacebcaacedeecbaecacdedecbddbceeeceabdceddbaddabdeadcedaddedecedbacbcdbeceaacbadcedccbdcacecaaabdadcbcddccededddddbbdaabbdbcbbadbcdebdcdecedecddecbbbdeeebbdeecaaedbcebdabebcbaabcbdccbabdbbbeeaeddabdcedaaeeceadbcddddaccbaceacabeadcaccacdcaebaebcababbbdacaedebcdcdbacaaddbbcccaacedcbbbdacdbcadbbcdccdddbcbdcdaceccddddcdaaedceccdcacbdcecdaaeedebbccdccddbcaabceccbbbdabadaebcbeeadbbbbdebcbaadaeedddaaeeabcecabeecabbedbedbebedcaddcedccbcbbadadcbacdacceeccbcbbbbcaedeedccecdbdcbdecaebcedacaaceaddbaabededceeabdbdbdacbaabcadeeeeaebdccbeadbabebddbaaabdddacddeeadbcecbcabdbdcdecceeedabdcdddeecdadcabaeebcbdbbdedbcbacceebbadeebbdaaccedcacbdbacaeebcdbedebdccccddcaadbdbbabbdecceaeeeaedbddeeacebdebbcdccbaaacecdedbbcadacdeedbbdbcddedaeddbdbdeabdebacaeaaaeadccbdbdeeaedadddbdedecdecaeeacaeabccbbcdadceeaebadbaacbdaecaaeabedcdaccebabaecceeedcbbbadecbcaaaecebebacbbeceeaaddbcdceaacedbeccbbeebccecebeeccdbceaadcabddccbdcabcdcdcaadbcbeedddccaddbeedbbedabbdeebeeeabdbebedeeacadcadcbadaecdaababcaaaecedadeacaacdccedeebaaadaaaacbecbdbacecebbdecbccddecbedbabbaedcedcddeecbeeebdcebcccacdecddcbdadbdddbabbcccebbeebbcbebbbaedbbbcddbbaeaeccceeeadbcadacbbcedcdadaabaaecddbacdccebcccadadedaedeeddebcddbcaaadaddbaadeddadccebababcaceddcedebdaddadcbdbacbbeeeebcadbabeaaabebeebbbbccdbdadadcecdaebccdddebeecdddbedbadabcecbbbabbcdcdceddaddbaabbceeededabbabbabdedcdeebeddaeabdaeccbbcbbebabedeaddbdbcbbebaebdcdbdaadcababcccdedacebdeeccdeddcdcaaacdbadbaebecebecbdbcbaaaddedbdacabbacbcbbeabeedbacdbbdedbeadeaddeebcceeceaaecbbacbecacacacadaaecdbdcdcddaabecacbeaabcececcaaedbeddcbbabbeccccebdcdabdeadddeccbcdceaadceceebddabbeadecbddabcddccccacbedbbebdcbbddabebadcbdaecdbcccceaaeceeabbbbddeecadbecaacabdaceccecdddbacbbdecdcacaebaedeaeeecadaedbcaaaaabaeddbcecaebcabbabbbcaddabecbdecbcbbedecdcbcbcbecebdaeeeecaaaabebacddaedcebdcdacedbeaaecaedacdcccccabbbbadbacdcbeeccbcaeddbabdebaedecdebdacabcbecbdbababcebcbacddededaebebbadbdeddaeaaedadbdbcdbebbeacedcdddceabecebdeceadebbcedcabdedbdadeddbddebbeeedbedeacdecbbaadbcaadbacbaeecabcbddccebacaacabeeabbdaebaddaabdbdeaaebbdccacbeeaedadecdbcecdeeabbacecbbbceadccdeebbdecddbeddbbeedaecbadccadccacddabeddeedaebadbdceabedcbddeebcdbdecbaeeedbbbeaadbaedaecdabeedbecacbdbcdaeedaebabbaaecadbabaccdeeddcadccacebceaecaaedddbbebadedeaacbdacbaaaabeedbdbddeddabcaedceeecbbaaecdbcacbcbaccceeadddaaaaaaaabdacbaedceeeaeabddaaccccdddeabccaebbeeedcaaecabbcdbbdeecdebaabbacdbcbaaadaadaaececdbdebeedbbabedbbbebdeaedacaeadaeaabccdbeaeebebaccbcdececcbebdebbebcaccbaaddceebacbacbdbbbadcbdacdbebeadbccadadcbacdaadaddbadddebadcdecaaadcbbedaaabbbeeddacccdcadadcedcdccabebcaeaeaeadabdecabccbdddaabdbcecceecddebebbdebceedaeecccabeeebacccbadacccaabceeaeaadddededbdeeeececcabcebdeecbcdcbddeeaabbcdeebaaadebeeedbeddbddddbcdabacebdeebaedbeeebdedbaecacebcecacaadbdccbaadbadddceadddbbaadbcbceecdadcaacbdecdcaeaaacbacaaceeadbbdbbeddddcbaadccaadbccedecceeecdaddededaebebbcbaaccaadaeeaecacdedcbcbedcbeaccdcbdeedbabcaeaaebeeceaecdebbccdeeaaabbbbaedbcdbdcecdbaacbcabcdeaecadedeedbdccadbedeacdceadbceabaaecaebebacabacdacedbabcdeadbddeddbceaeabaeebccbcdeedacbeedebbbecdabcdcdbeeccdcccdbacadbdbeabacbccadbadaadbebcdebdcddbbdeeababcabcadeeddadbbeacbcbccdeeecabbbcccecbceabdcacdbbbbbeadcaccbebcbdbbbdaaaaabeaaeedbddbbddbedecdeaceebdeceeeeebbdedabdeccbcbdbedbacabbcaedaeedacdbceecdadcbcbedbcdaababdbdeccdeaddccbedcbaadddaeaebeecbccdcccaeadbddcebddbbbbbcbeeabcdccabadaddbacbaaadabccaabbaccdaaebddddaabeabbaabdadcccaabcecdebdbaadbeabbbadcecbddcdddbacbdbdeaebaaebddebeceeeeccecbbdbdbaeadbbeaadcdebcdbeaadacdcebadcacadbcbcedacbeadccbcdcbdebecddbeabdaebcbbaaadbcacabcdeceecaacddbedbccccecebbdbebabaeadaecccdbbdcbacceebdddedbeedadeccdacbaaceaecbcbaeeeacaaecdbbbebeaeceacbdcabdbeeaeacecccdddecdbbdeeeeadaeccdebedabededcacddeacbadaaabdeebcaadbecdaaddeedeb
aaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaabaaaababb
cdeecbbbebbccaadeebdaedbcecbbececdebecbacadbcaebcbbaabdbbdcbabeacbecaceaddbbbaccceebeaababbebaeaeddbdbbbacbadeaedcbdaeaceddceaaaeeaedadacddbabdeeccbacdddceaadbbdaebecedcbbbdcbcdbbbdddeaedbbdacbbadeadcbaabbacabaeadbbdacbddeddcbacdebeaceaacddacabeebacbecddedcadecbecccaaebaeaeaebcacdeececcdddabebddeedaaaacaaceabaeeaadbdbecceabeabcaebcddcbddccacdebceddcebcedeaaeabadabcebcebbacccaebbebbebbddeeabaedcedcccdecbddebedccababeeeabcdbbbbdecadaeabdeeaabbcdbdcaacecacaebcebaaaedaccbbeceeacbaeccbcdddbbbecdeaccdebccacbddddabdcbaeebbeebbecdcdeeeacdeacecacbacddcddaecaacacbcebbecdbcbceaaacdcabbebecbdbeddddaacdbeebcbdadddaacbceacaaaccdceecdcbaccedaaccaccdeeddbebaceaccdbeaaedeccbdddbedccecbaccadebcbedcccdababbbecaeebaedbddedababdaccdbdccacbddbdaaadecdacdacceabeeabecdedaabbccddaaaadcceeccdddaeebceeeadbeebeacebceadedbcaeeaaaecaaacadbaabbccaebdaeaaaaeebdbdeaddbcdaeceaacddbbaeeadadabccddceaecdecbeeabaedebaaacebbbcebbbabdbebcaabaddeeaacbbdeeeedccddcadbcadedaeebaaaaaaecccdbebdbdecacdddadbaeeabbebaabecaeeadaeaeabaccdecbcbbbacdabbbbadaeecdcbbeabbdabdebdcdbaeebbcccdbeaacadebbaadbebaabedaddacecceabdedcdacecadbcdccbeeebaebcbcccbeaabacdebdedecddabbacdcdbdaceeadededeaeeeddacbaaadbddeadacacdaaedcaddebaabccccacdcdacbecedadbeddedebedcabbdcecaeeddeaeeabbaadbcaeadaaddeebbabdbbbbcbbbbcaaeaebecbedadbeaacecbdcaeadeeccdcbbbebcdbaabbbcaeeacdbcdcabadcabcdedabdcdccdaabddecaeddcbcceceaeebbacaacbceaabadcaaeebeaaadabeddceadbeacddabdeeabdcdbbcaececdbeddbbbaabccecbceeaaecccdaabaacccbdebcdbeaaecddcebeeceadeebabcbbcdaeeaeedbcebeaadbcbdceccdaebbcdcbcaecebebcbcddcddcdcccdececbaabdeeebcccdebdaebabdadcaaeceecaedcdcebecaeaeeabebdcbbeadabbecdccbdccdbbbceceebdbdbabbccdaaabadebebcabeeeeeabaadcabeebbdedeaeececbcebbceeabeabbeabcabedeaacbbbbdcdceeedcedbbdaeabbaabaedcdacaaecceadcdbdedcceedcabdecdeccddbdbaddbecabecbdcaaccacacbdddeceecdcebdbeddecddbedebeadcdccdbacdededeeccecaaaaeebdccdeddceacccadbbdbabababbecabbaabddededdadbccabaceadeaccdadedccceaabcdebcdcebcecdaeebcbbbbbcccccbcceecdccebbbbedadabaaccaccdbecacedacacdebdecbbdbedeceaddcadcdbaecaddaeacaeaeaceedebaeddacebaadccadcdaaccebcdcdacaceecccbbebbecbdcccadcbceeaedebaedcebebeebbedddcadccaadcababcbdccbbeaaabbcdbbaabaeddabeceaeaceaabeadcbedcdcbebadaedcdeaadcedbbaadcebcbabeacbbdccaebbeebddcbbddccadebbddddabdabebacdeaacbbecaabceeedeaadbdcceabadccdebadbedaddacecaccedacdeccdedbadddaceadeecbceccaecadecbeaabbeacccbadedcbebaceacdbcbeddbbddcaabcebdeeaabbeebaddcabebacebddebdeddbaabbacccbcaeccababaacaebdabadddbcccabcdbddbacebccabdadaeddcabeebbdccebdeacbddceebbabadbcaecccaeaccccedaaadbadaccbcaacdcddedccdacabcbcbbadaeaadcdeddcaaaccecadaedcebadeecaecedbceaeaeccedebebecccdbdbeacebeadecceeaceecbadcaccbeccabbaeddedebbaedcddadcdcddeecaddccadcdeeebcbceaadadbbcbbbaedddbdccbeabecbebcecbdbebadaaceadabdacdeeacdcadaebbabdbadecccabecceecdbcbdedcadcabdbeeceacddaedcebebcdadbaaacaabddaaddeecebeeddddbaaecceaaebcbceaabeebeeecbabeadbbeeddbcabdcecaabdcddbcabbeedbbbdbcccbbeeadbcdcbbccedcccccbaeeacdeebecdedcdaaddbbbcdbbcecedbdbdbaadbcbebdedcecababeabcbbeeccbceabaddbcacdbecccbbdeecddaaaeabdccdcdddedbcabbddbbeceeaccdabbecadbddbacdeebeaaadbcaacacdceebcdaacebaddeeecbbcecbddacbaeddceceacebebccebbbcbdeceaddadadedaaadaddcdaadbdbbabbaebacddeeacebabbbddabeadeabbbadeceeecabcdcaddadcdbbcbbdcbdeeeceedacdceacdedbeddbdcdcadbceddbdbaeeaacaedcedddbdddadebdecaaccdceacbaecacdddeccbdadeeecbcdbdceddaddaedaaedbbabaedddbcbbbccbbbdbcaddaececbacabccaccdadaaacbecceccbeceabcadbebcaaabbbaabcedabacddbadecdbacbacceecebdbbaeeadcadbaabaeddbeccedadccdaadbcabaccebddaabccdbbddbbebdbeeebeabbdababbaaacccaaddebbedeabbbedcaddacbccdaebccbcbdccdebabaadceacacdecbdeedadbcedbdcdbceabdddceacaddcceebedaaeeedaabbabddbbaeccaedcadadbbadbcacdeaecdbccaabceceacececeedabbebbddbcbebeddaaacbccaaadbecbcedeedceadcdccedcccdcbcbeccccbcceaececdeaadaddbcaeedbecedabaebebacddeddcaaaeeaacecbabedcedbbeeaaecbaebcccccdbebcdecaabbebdaebcabbbbbacbeeabceabaedecbeadddddadadebddacadddedcbeadaceabdccedbbecdbddacceedcdaacedddeeabaddbdddbcedaabcebccabeadeddbabbdbcecdddeacaebdbbccbacddaebdabeebcbdeceadccaacbaaccabebdddbaaeeaecabdeaaddeabeeededbedebaecdbebdddaedecdaebabebeadbacbedeeddaaccababdadeecdadceebdcaeccdddbeceecbceabaccededaecdcbbaeccaddaaaebdeccaebdccdddbbbebbebcbdecddcbbdcaaaaadbbaedadaeaddeeceeabbcecddcdcadcbcabaacecaeecccaedbbceceedddeddbeedeacabbbadaadbbbccbeacbbceebdcaabaaceeddeccccaeceadaeaabbedebbecabbedbedeeeceabeddbccdaddcbdaaeaaeeadedcbcbcaacdabcaaecacaecccddacdecbeeddbdeebbaeadbeadedcdedeebdadaacdaaedbbaaacbcedecebcbbababeecbcdcdaeadabecbebcdeacecabbebaedcccaadcabdeeedbeccbccdabeabedecdabacbeebcdbedaebcacadcbbaaccdaaeeebacbdceaceebebccbdcabeebbbccaaccbbeccdbdebdedebcdadebaabaeebacccdabedacbeaaeacbedcdbabacddaaccbedbadaeacaeeaacdebbdacbabcbacddecdbebcaadbddbbcedcecededbecdbbaebdcbdebbccacbacebcbdeecebebdcdbedbadaacaadeccdadbeedbdbccebaeaadedbcdaddbeccddbbedcdcdcadbadbcacbbecebdadaccdeeedccbabcdaebaebdaaddeadebddeebaddbcceadcebdbdeaeaeeadabaeabbcecdceedaaedabcabcbccbcadeeaaccaeceaaebacabcbdbacacedadcbdadaadeaebdedcbadcdadcebddceebcdeaeadcabaeecceebbeebadecbabecaeecdbccbdcbebeaebbcceecaaaccbacddeddacceccadaeddccba
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
adbaaeadebccbccbecddedbddbaaaecaebacadadbbdeebcdaceeeddcdaaddcaebaaccecceceedaadddddbaebecadbdeeebcebcedbabcbcbaadaadbbeccbdddcbcccaaacbcceadddecdbeaddcacdadbdbbadcabadcdacbbdeeddabbbdcbdbcddcaccaedecbeaebaceecebecebacdbddeedcdcdaedacdcdcebbdaedeeeeccaaeccceceebddcabcaceabbdbbdeedcdcddcedaebbccdaeeecdcbecbabececdbcbaeadecbcbcbdcbdacccddabdcbbcdccedccddbcbbebbcbedebcecedacbdbaddceeedeeeebeadadbacecbedbccecdeadebdeaadceddedabcacdcebaabdededebecdabacacdedaadddaebaabeeccdacadebcaecbedbdbcacccadcbbbdeeeaccdebdecdcecaadebcabcccaedabcddbecbbdadabeddcdbaaaeaaecbeaebbadecbdebecacccddeaaaaacbcaddececdccbadedcbcbeacdaeddaebadacccebaaedeaedeaabacdbccdbabbdcdecadceeaaadcccecbaaecabbacbdcecccbdedaecbbadbbbaeeaabdebbdeeaccedacdbebedeeccedeebeabaacbbcbecabceeaeeaeeecbedbbdbeebebcbdaddbdeaedadeeedbebeacdbacbaeedeaddeeebdeaebcaeeceadbdcabbbcebcdeeedaaceaaccbbcabebaacceebcedcceaadebcabacceeeaebbcabdeedbaacbabaddcbddbedcbcacebaacbbdbdbebecbeddeaabedbcdaceeaebdeeedccdccedabeddcbcbcdeeddcbdcddeaceadedaaaabaaeecbbbbabcaacedcadadacceacddbedbaebbecaebaadadeceeaeecaaaeaaccdacedeadaeceeabcdedbdacaecdebebceceaaababbaccdceadecdbcbdaecccacbcecbcaaedbdedddeecdacacceddbccbcdaceedeeeabddaeeddbadccccbaedadeadabdbcdaadadcaaadceeebbebeeaabadbcdbabca
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
eabebcaaccbbcaddbcbeecaebdedebdbadabeedcbeebcdbbacbcdaedecebaaeacabeaecabcccccccbcbdcddcbaebdecebcdbcabadabdeeccbedcabebdeedeeacecbaabeceaebbadeedbaadbcdacbaaeedcaacebebebabdebaddbeecaeabaeddbcaaadaaeccadeabdcbdaaeaedeeebccbdaebecabbcedeeabccabeabdcaecaddcadeedadccabaacddbaedeaedadedcccdddaacbaedaaccbecabcaaaabecddadcddbbeeceeeedbcbceabebbbdceaeacbceeabaadddcacdeebdababcaaeeccacbbdeebddabbeabdadeaadaecbccaacedededeeaaeddbcaebdaddedcaabeebbdbecbbcdaacaebeecacecaddbcccadeebebbaddeccadbcadceddaeaabcebccddebccbbbebcbbdbcebdadacabedddeaddbaaebadbccccecaaddaaadbaceebeadeccdbaaeccedcbddecaacbdbecadaddaacdaabbcbaabbebeeeeebeabeaaebaeebdceadccaacbcdbeacdcccecdbbdabdcbcddbcbdadebeecabaebacaeddacbcedbbedeacebddaececdaebecebdcebabbdeadccbacdacaceebedaeebeeadcbaddededdcdcaaebdbaadabcbbaadbebddbbcddeacacccebcabacaebadaccdeddbcaadaadcaeeabebdbadcdcacceccecdcddedcacaeddaadcaebaebebcdcabaebdeadaccbacccbaabcbccaebbbdccaddcaccdecdbdbdaebcbdecaabcaebdacbddcdaeaaaeaeecabceadabddabcaaaeeeddcaeeacecaeeaeecaeaadadcadabdaeadacebdadbaeaeaddeceadbecdebcccacadddcdaedeaedecaeebeddbdaedeaecbcceeaaeaedabddeacebdecaebcbebbaeeeecaedceacacdacbcbbacaacbccacdbcaeedcaacaddaabebadcaacedeccdbcacccbcbcaaebcbdeebadbadbbedcebbaaccddebdbedddcadacddbbbeaddccddadbccecbeddddadbdcbbcbbeaccbeeedbbbbacacceaecebccccdeedddabebbaecacabcadbdceccdabbcbbaddbeebabcccedbdcddedaebddebecaaeceebaedbebbccdbcedbcddceeccbdceddabcbdbeceadcbaaeaaaebeeedddbebdbaaaeadaeccecbdcbeedbdbccddddbbbadccbdbdcaaceeebacccdacadcaaebabaacccdacecbaccdcbcdccdcddaecdaeeecddcbdcccabcaceecdbcabcbcbaadaeeedddbbdebbeecdacddeaedcdebdaacacaaaadbbcaedeacccaeadacdeabdccadaccebbbbecaccabecbaeaecdacaaeaacedaacaaebcceebbabadccaceedebdebcbdddbbabbcaedededaaeeddccbaebdbadceddcdccebccdeacacccdbbeadceaaeeeecbbbebdbebeebaeecceedeaaececaddddccbacbcddcbcedebdabaaaeeadecaadccdeccdbbcbbbbaaeddbcaabccacaddedcaedbaaebbbedccdcdebddbdadbcdbeadbddbbdbaccccebebcbeabbeaacbaeceadcbbbdbbdeccdaddedcacbcbdcbdbeaceababdcddcbecacaddaccbecacbaccbacabebdecebbecdcaeacaeebadadcadcbcadacaceacddceaccedadcaedeaddeabdccedbddebccdbbabbcaacaaadcecadbbbbddcbdebdebaeaeebdbeddecbeddceddcaebabdcceebbdabddeaeabcdacabccaedcccebdaeaecccdbceacaecdaaabbabceeceededaaaeadeacceddebcbdddbdddcdaadcacacabdaceccceedcdceebccbeceececcdcaeeddaeedbcdceabecaccbeaeeedeaceddecbdaadbbdebeeaccdbebceeabbcabddbdcdaaeadcdebaabcacbeccaeedceeeceddedbccbaedadabacbeaaeeadaaebeeceecddccbbccddcbedadcbeeeecdddeebdeadbbadebcdaacbacdabdddcccbbedebabecacabeacbbccacdcabadbdccbcdddedcdcedcccadeccabebbbecceeeeeaebcdedcadbbcbddecaeceedaadbdcdeaceddddbbaeeebbbbccdaeceedc
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaabaaabab
deaebcddbeaacaaeceaccedcdadcdaadbbeccaeacdaabdaddbaadaaddcccccddcedaddedcccbeeeeabbbbbeddbebbddbcadebccbaacdacedeeacdcabbeabeeddddddadeecbecadaacbecdcdbdebbbbeaecdaededbabbbcbaeccdbcaeeebcdaecacecbdbcacaeebbabcceaaaaeaeddcdcabebabbcceaeebccedccaabbdbbabeacdbaebcddaceedccaccacddebcbbcadaeadbabbebbaccdabdbeadabecaeddcabcbececbeeccccebecdeaeeacecadeccebeeaaceaaaddeedeeebabdebecadaadaeedacadaebdbacdbbdedeaacbbededcddaaccecaccaeaaaecadcabbdabadadbbbbeeeeeecbcdceedbcbcaedabaaccdeccebdabbbdceadecedcabccdecbaedacbddadaeddddecaddaabaebbcdddeaeaeecdcaeaaccecabdcddbeeddaaebedbbecaebedbbcaddeebddccbeabebacbbcedcbabcabecacdabccbddabdccabbbadecaacccbddecdabdeeddbbeddaaacdbddddeccdaeabedeedbaeacadcbadacacadbbceaccadcaeddbcdceabbbeccaddeecaaaecdabddaebedbdedddadeabaedbbdccbaccaeddddadbbcbedcbceccddacceecceccbbeacbddcadcaddcdacbceddbabcaddceadcaacdbecadbbacebebaceceaaeddadedbdeebededbbbdcceedabcccccbdbaeecaeabccacbdeacebebcbddcebadccdcdabbabbcadebceeceadbddaceebedbdaeecccacecbdacaaecdbbdedbeaeecdebeeaeaccbcbbcbddcbaeedcdebbdeecdedddbdbaacdaebeeeadcaecabcdcacddeeaaebcbeeadeedaaadbbdaaaccddbccacbcadcbbbdcdaeebddcbbcdaabbcbdeddccecbdecbbaabcebbbdcdbcdceaeebcccdbccdeebeeeadeadceebeddebceeaaaeacedaacaebcbbeaabaddbddaaeaceebaecbdedadebceeeedcbcbccacadbbebbbedbcedebeebddbadebececdbbcbeadceccddceddcdcbdcebaadcddcbdabdbedbeebdbdcebdbdebdacccabbeadbebadbbbdcddcbccabedddcbeaebcecdccdddecadebdbdaeedceabcbbdbabceddbbeceadebdceceeeabcbdecdebecedaeccebacbbabdccccacceedeccbdbeccbeabcdacadbcbcddadbcddbdbbabbcabeaeccaebcbaeacccbdaeccecdeecaccedcecadceacdbeccccedbbaedccadbbdeeedecbdbaddaadccdceddbbbdceaaddaaecdbecbcaadeeedebecdbdcdcebeccceeceabceeabbebbbbabbdacdacaaceccbebbddbbebebdbbeacaaacebcdabcaabcabdeecdaedcbaccbbabdcccccacabeddbecbeebaeaaebdcddacddeacdebeaaadecdabccbbdbdbddbebeebceedeabbdbdacdbdacecbedeaddbbdbebcabbecdedccecbaeaccdcbcddaddabceedcdaecaedaccaaacbcccdcceeebbecceacccecbaaacaeeeeccbecedcdecadbdcacedbaeaecedcebcebecbaadccbcdebbcdaccadcedecacbabaaccaccdaabbaecdecdcccceabdabddbaccaceeabeababdcedebecacdeededdecdceaebaeccadeaeedbcaccaccdaaaecceebcacdabaaacbeddddebcededeeeaaeacaacadaaeebeebbdbddadaddedabdbcbeaadcceeadbbaaaecccecdcebabedddaaaeebbeaddbeeceedbadbecececcbcccbbdacddcbbedaacbabbcbdbcecddccaacccbaededebcbddeeeccdbaaaddabaaacecdcecdaceddadaeadecddedaabccebeedaccdceeacecdcbbbeddedcbdcdaceabeeacaddbbceaacdaacdbdaecbbdddbdebebbeeeedecdecddabecbeecadceccbcdaabbbacceeddcaeebdddcaeececdacebbddbccbbccdebabdbccaeedacbddacccaeadbaeebcbeadeeadaccadeaeecdccddbaceceeadabbccdbebadeedbecaacdedeecceacaacaebeddaaebabbacdeacecbdeecdacbaeaacaceabebdedbdbebbcacecbbbdbdaaeddddabdabcdbbecadabceaccdacacacdaabbdceedceceaaabcedcceddbcdedacbaaadbadddcbbdeebecebbeabccccbceecacdedeedebebecceeaaadcadbecebbdebedbbdccbddddabadeaedbaaebbccbacdedbecbcbdbaedaeedbacacccecaacadbedcaecbdcececbcacecdeadbbaccceaaeaccebdeceecaccbaecdbaeedabceabdcceeaadbcddddddacedddedccdbbbadadbdebbdcdcddebedcebacdaddaabebaddaaecdebcdedbadeaceccdccaeedecdaaacbbdaedbccaeeaeeaedbabbecccccbdbabacbcaccccddbeddeeecdcbcbcedbdceeeeabcddddceacececbeeceadadcbecaeacdabcdacbcdcdcbdadacccaacbbdcdaabaccadaaceccceeccbadcaebdddaedecbaeedebdebaadcdebaadddebbeccaceeccaeaedaeebecdbbbadcdcbdebbdcdedbdbdccedacceaaeeedcdeeaabbbdeaedaadebcaadeddcbddbdeebdcebbbebcdcbbebecdeeccbedeadaacdabeabdbacbcaededbebbccabddaeedadbdccbcedddebdaddbaacabebaedcdebedcadbdebcdcbeabddabdcccacdacabcdcecccddcbeeadaebcbbdebbeacaacabdedacbdcbebbccaebcacaddbbcaadeccabdeaeedbbacebbebecdaededaccddbadbabaabceaeceadeaacecaeaeeeaddacbbcdceceacaeadbddbdccbebddacceeaececbebeecedbbabeacddeaadaecabbeeccabeebeacdaadeaecaeebacdbdbebcedcbedbeceaedabedceddacadceeaaceebebabbcdcadadabacaedbceedebcebadcbcccbdbacabeaeddbebdadadbecdcdebadaacdbdacbceaeaeaaeadddbccabebdeebaaebdccbcecaedcdccbaeaedddacaececbcdcdabeecedccbacbceaeadeeeadcddbdcbcebceebbbedccdeaaaeecacabeaeddacbeeddbadaabecbecdebcbbccccdbdbedcebdabbeccaeeddedcccabcbdccebadecdecbeadaabcedadbeadeddbadcbcabacaacedcadaaeeecaebabdcbdcacbeebeccbeeeaeecebecaaccbacebabecdbebccdbcaaacadaceabaedcbacbebbaecccccbdbddabcabbbabdacdebadadebcaaaeeeccccdabdccccbeaadaaecccccaceededdedcbeedadccbcabcdedeadccdcebdedbbccccdcecdbcedaebadcdddeaabbdbdaeaedabebcaacededebbcdbaeebccaaebacdaebcaebebecdccaadeaadaceaccaacadbcdacedadabcaceabddcaeeaebdeaeedabaadbbbdbdbbbbeeabccaededadaceddeacbcbaebebcbeeecabbcecaaebcebacaededcedbeecaccabececbaabeaabaaddbdceaadbcaecaaabcaaddbcbedacbaeaceddbbddecaeceaecedaebbeacdeaebbaabeeccaadbbaddcebbebcdadcaabdbbedbbdacbadabeaeabbdecccacedcaacccdceeccbcbacdededddceedccacdaebebacebdbabcdebbabecdebdaddeebaaccedbcebbadcceeadebeeabdddeeedbbbaabeacaacecdaeebeecbcbbcadcbdbdcebabdebccbbbeccecaccbaaeaceacaddbebbdabadbdcecbbdddbeaeeccdcbaebecdcbadcbbceabedecbcabaeeabecbeacdabeacabcbdedaeedbbdebbabbbdededebdddcedeaaeabcedcaaedbaecedcedeecacaabbaaadadacadbcbdcacddcecacadedaccbecdaddebadbdabaaaacccbedbcdacadcaedddccacbaadceabeabebacdbabaaddabcdadbbcabeacbbdccddccebbbcaedeeedcdadcbdaeeeadcabcabbdbdceeccdbacdcceeabeaebbbcacebdddedeeedcdccccebcbeaaeccebcbcceaedddacbcccbbddcaadeaccbccbbdadeaeac
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaabaaababb
aeaadebccdabbbacaeaadcdbcccaadabebacabbbbbabddcedadcccaaeaceadeaebbbeddbeaadedbabcadcbbcdedbadaccbbdddccaebbecabadaeaecebdbedaadaecdebdbeecbaacceccdeacabbeeeddeccceaccbddedaaecdcbabcaccbcbcddbebcaacdcdaaeebadeddabbedadeadcaeaaeebbcbacacdbaacccaacaeeddeaacbacdbbebddaeecceeeddedecdccbbcdcabcedbabedbdbecdeaebbbcacdbcbdeeaacdeccbaeaeccbcdbddabdddaedbabdcaedbbdacebdbeecdabddaadccaecdecaaabeebaccbbbeacabacddddaaebadbdcdbddaecedadbcceacdabbaaedeccaedadeaaceeedbebdbbbabedaedddcaeddadebeeddeebcedbbadacebacddbcdebacedaedaccadaedcdacccccbecaebbdbededdadeeaeedaabbcdebccbddbeabeacdadeaedcdccbbcedacddecdcebaedbdddedeecddcccaaedaaaceaeeecedceabbacbbeaebacaebdacbeddebadecceadcdbbdcacaedcbbdddebdddeeaaeeaceacbbeaedbeeacacabebcabbaadebaebdbeeabeabedeedbeaccebdbabbbdebedbeadbadecbbedcebdadbacacccaeebacacaabcaedcaebdcaaaddbcaadbddebeeebeababedaceadcbeccebdbedabeaabcdbebaeaadabaaeadbeeddddbbbeeaddebdddcbcadbbeeecaabcdaaeceabdbddbeddedabbcededbbcdbebdbdbdeecbebdbdcbeadbbddeaeeabbeceecedbabadeccbacebcebebdcacedaabdaeedecbddedcbdaedeecaaebbcbcabeccaccdcebdabdaeeedbcdeeaecbbbcbdcceaabdaaabeceabbceadcbcedbdcedaaecacddeabcedbacddcdeaceccbbdccbedaddbdceddebbeebaebdccbedcdabdbadeacdbadaeedeabaccbbdaecacdddedbccbabcbedebacdbadcadbedacebeeacaceaaddcaacbcbeebccbedecbeeddbbeeababcbdcbeacddaeaaadbaaebbcccdcecddbabbeebaccaaabceebdceddaedebedbcadaabdbceabeacededaecedcdbddcaedcdceccbdcbcddecedeeebabdbabbcbceeebeeebebdaacdaeecedeccabcadabeeeedaadbbaeaedcebabedeaaceaebebbcacbdcabbdedbdaaccaecceedebadcceaeadebabbbbcadadacdeededbeeccbeccadadeadedeabdbccbbadaadeaabdadbdeeebadadeceebeaeebdeadecaedecabbeeddecadeeadaceebbdedecbedabcccbaccdccaadbbcccebdaddaccaccecedebeeedbdbebebbccbbbcccdebaabdadbbacbcabedaecacdcaececeeabdcbcadbabebabaaaaebeecbedceaddbdbaddbeededbebcdcdedecaebecabaccbbceaccdebcebeceeaebebcbcbcaddcdaeeddbddecebcbdccbcdbbbcaacbecdadcadddceaecdeabdeeedccebeedbabbbdcdbadcaceddecbccdbabadaabdbaaeccbedbbbacdbecaeabdebcacaecacbccedceddbbaadedbdeddeccbbcccebbaadcaabcaaebdeceadadeaaddebdccbcededdaaccccecdaedcbbbaeaecbcaaaacbdedcdaedccdaaddddbdeaededcadeadacedceeadbceeddecbeecdcacdabccaacaecdabaddcdabdceecbabebecdebbbbdddcdddcebaadeedaaccacdddccdbbdbabccddccabbeecdacdeebdebdeccbcdcdeccdbdcadcbbeadcbeecccdeeaadaddbdaaceabdeeddbccacdcbdeaaddebaaeecaaaeedcbacbbaadceedcebaeddcbacbedddcbcedecaeacecabbcdbbbeeededbbacbbdbbbedbeccebdbedbabdcacbeeedbaebadcbcededdcebadbcdebbcebddaacdbcceeaacacdecceeeccacacbbdbcdbaaeaaaaddbdbecbadddeacebbdbdcbeeeccdcceacceeacbeaabecdcdceedbaaeabccddaaebeecdeaacceadabecaaceeacbaecaabcbcdadeaeccbbcbabeddbeceedaeeccedebedbaaeecaaeadbeaaaceeddbebbbeeccedabccaacedbcedebeadaadebddaacdbbccbbeeaeebdeedbbedceeadebccaaedbddabbeebadaaeedadadaebbbeddccbeddabdeeaebdaadaebbcecaacaceccddaaceeaaeeeeccddabdaccaceabcadbceeeacbaeaedcddccaeceeebddbebdaebdbececcbabdeeebadeecdeabbabacbaedbdcabbeadaeaaeaaceeedcdddedcedcbdedebccabdabbdaceccebdbbecdbcebeaccadcecdecdcbeebccaaecaeadedbbedadcbaeadedbbaeebcddaacdcedddeadeabdbabbbcacbdcccaeabeaaadccabddccdebeeeaddedeeaeabeedebecdeecbeddadcacaccaaeaccccbdbdacbeabbdaebdaccdeeaeabeebedaecdbaaecbcadcccdceadbbbbbeecbaaacbdeedebaecbaedcabcdbcaccaeecbbdeedeecdbecdaeaadebbcaeeaebbaebeaaeaedcdaddcdcdabdcedbbbedcdaabbdaeacbbcdcbeccdcaeabacdcddecdadadacdaaccdbcaedcddcaedccbedcdddddddbbeddbbabeaddabcaeebadeebdbedcdecbbdddddbeeeeeebcccbdacbadadaecbebbdacbeebcdddcccbcbcacccaeebebacbcbabdabbcbcadbebceddeeebdcdccbbdccadeadbcdabdcdbdccbecbbddbaeebbddccaaccbdaccaadabaebabadeaeadbddabebcdeeaebbaaceebbcdeeadccedaedccadaaaebedeaaaaddedccbdceceaaacbccbdddcedbedcbcbbbcbebaabdeccadcaecbedddaebeecabdcacabddaabaaeeeabddddedbbaaddeceaacbddbbbacddcbbccacccacebdbcbcddccbdaeecadbcdbccdabeccbecedbacbedababccdedbeacceebbeeaaaaeecdcaaaceccccbaaaccddbeabaaedbaaceaeacecddbccbdaeecabacdeacecbdbeabadeecbcaeaedeadeccabedecdbceabdbebdedeceaeacdbeeaebeeacceaaeedaaedecadaeacabebceeaacabbdaacadddcbbabbececabcbaadaadbdecebacaabedbabbddeddbbadddeabebdcceaadbcdeeaacbacedbbddcedcdbbabdcabeeabeaabdccbcbdccdabcedccabeabeaeaadadecccdacdccbbcbbacdeeaeaaebaedccbeeeedcdbbdaaebcceedeeeadeaeedaddeceecceebbecaeaeccecddcccaebbddbdcdedcdabcbcbcdebbaabdedbdcacadddabedeaacbddaddeadbdccbcdbddeabaccdecaabdbdddacebdcdebacddbacbedebacacabcbecedaeabbaadeaabeeceaaeccbdbeccedabcdeadbecaccdcedbdbeacaedbceaabceabeccccaacdaaeaccecabdadaacadabaacadadabaeaaeeeabaecabdcbbabaeadadcaeadcbeddaaaaadadaccdecaaeaadeedaadcaabbabeccbaececdccadabaaadedbbbccdeeabacdcdeddaededebbeddaccebbbabbabbecdadddbeebecdaeadecadbcbdedababbdeddbecdbeacccbbedebcccddaeaacbcadcbddcaceabdaccecddaaacbcdddacecabdcdecaaabebcadacbbbbaabddccacaecaabaaaeeececbdacdbddabbabbdbaaddebdabeccedabcbebddbbcdacaaeeccabdedabcadecacebbdbdddedbbeeeeeecbccaeabddbdbeddbabeededdabdcedeebbaabbdccecaadcccaebddbeecadecbcaacbbbaacddbbedaeaadcecdabbaabcbcbacedbccccababaaaebebcdbebcacadceeebeabbbeaadacbcabdeaadcecbbdbacaecacaeedacbabdddeaadcccddbdbbebbecbbbbbdabcdbabedadededadbecdaebbaddeccdacabbbacddbbbececdbcdebeebdeebccdddddbddaddebbdabbdeaadadcbdeeddbdecbabaccbccbedcaccdaacdccdbdbacbabbebcaeebbcddedabdadbdcadebaaeccdeaece
aaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaabaaaababb
dcebdeacdecbaabcacbcaabdddacecaccdecaecaedebbcdecbcbbeebdecaaabadadaaecccaeedecbbcebdaeacbccbceeaacdebeaabdbebcdeadabcbcacbaaabbdbeacabcbaabbbabdbaceedadeacdcbeeedadceebbebbedbcbbcccececcdaaedceeaddadbaadadcebddbecceedcacabddcdacecdcdddecddcaebbdcbdcdcadcdababadecaeeddbbcaacdeedbcaaeeaebbebdadcceacebacebbceeabcdaaedaebeeabaaaeaedbbbaebcaabddeccceccdaacadacababbceceaadcbcacebabdedcaabedddecadaccebbeabedcbdebcaeaedbacdcddaccceaaeeacebcbecdbbacccdecbeccceacacaecaeebddedbedcdddcccdbbdcdbcbddecddbccbbabedccbaabedbccdebabaacaacccabacbbdbdaacabeddbecadedccebaaceeeadbbaaeacaaacdccdbebceeaabbceeebaeadeaededaedbccccadbdbddcbbccddbbcbeaabddeadeaebcabbcccdabdcaaeecbdeccebdbedbacadeebeddbaeccbeacddbecddbaecdebbdaadacacadbbecbadbbbedaaceaaacdcecdabbcdcebcebedabeccaeaacdedbabaacdeabedaebcaeeaeaddcecbaceebcdcdabdddbccecacbbcbbdbecebecdadbdbdadbabcdbebdeebcdabaedbddddeccbeebbbaadadaadcdbabcddbdebcdedbdddadbbebbccbacccbbbaaadeddecbeecacaddbaccbbdabdbcbdccaecbaabddaaedbebabbadccebbcacbecacadcbdbaaaacbdaabbbdcccecaccbecaaadedecbaeceedaaeebbcbedddbbddcbdcacdeeceddeabaccabaeeaeaedceedbacececccbbbaddcecdeabeeaaadacebdabaddaceecdbbbdedeadcaacdecaddbdedaeacbbdcaaaccecdeceeeeabdddcedcebbccbaaceeeaedccdadecbdcebcebccbbaceaddceccbacabbccacebadbddcdecabbaabddcdccdeeeadcbabacceeaeaecbedabeeecdccbebaaceecaaccebcbdcebdceecacbbedaaebaebbbdaadddcaccdbdbedddcbbdeddbdacdcdbeeccabcacdececdeddaccabaeabecbdbbddeebaacccbedbcacadbdbccadbaecdcacedceadcbaedccdbacddcaedbdbaeacbbbeebccecdecdeeccdbaacecdbdcaeadadadadbdaeedbbddcbcebcedacbcadcbebdecccaedbecdadadeadccbccbaabeecaadacdbaccbeeabadcecdcdcecebbdabdabdaecaeacdadacadacaeeddbaabcebebedabbaaabaaeeeeddcedecdbccedeacdaebdabeeddbedaaddacdbabbebcdabcecaaeedcabeddcedcbeccabceacaddaebeadbbcbdddabcbedddbababaacbceddbedeacbbcbbeadeceabeabebedceebcbbeadedadadabdaaeeccbaadaebbbaedaecbdbcdbeaaacdabbdebcecebdcddbddcddaeceeabaacbecaaacadcbdcadbbecbcedcdcabccdcbdebddbeadcedeaebeceabacdceecbdcaebbeeccdbabdbbeecdddadcddbecbeccceeaabcdaabecabecaeebadeaabaebddbcabebcdedeedaabaaddacddeccdeabecaaadaeabebcbbbbedeccdeccdddceabbededcbdbbecbdbaccaaccbdbdcccabbbacdbeceeacacaeeabaddacddcbedbabdbbecbceccbeacaddcdebeacbeecebbeebedacdbdbbbeadddabbbcdabecdccebaecabacceeeecbeedbbbedbcdbcdaeabbedacadcddebccbbceddeeddaeaacedbaddcabaadcbbaceedacadaeeaaedcdbadcedeaaabebbebddcaecdccadadbcedeacdbdadeaedadaccdccebebdebddeddeccdeccabecdacdbbaecadeedaebdbcedaeebadeaaaedbbddbcdebeedbdebaaeaaeaecdbacecbeecceedccbeedecccbcaaedabbabacbbdcadabcededecbaccbcdaaecabcaecbcccbdbbddebdadbdcaeaeabacbaddbeaddcebdacabeaebaadbecbdcbdecacbcdaeabcaabdbbbddadcaaaadaacbdcaebecbccbcceebdbedecadceadddedabcdcecbeeecedadcdebbebdaeedddaedcccebcadebeedcdaebcaaceedeadccebecaeccebeeabcabdcbdcdbdcbceeeeaedeaeecebdaccdccdcbdddadbebcbcbdeacddddccecddadbeaacaabebcebaddbcacddddcdbdeddddceaeaaecebbdcedcbedbeeddeaeaebbacecceaccacabecbbcbdececdccddeadecedaddbabdabccbaabacbbcacbcceebedebaaaddacecdaadbaecbccbdeadacabcceaccaadcdcceaabaebadcdecceddaeecaebddcadeebedaaecaceeacdeabdaaeeaeabeaccedcbcbbcacddccddbbaeebeddedaeabcdbbceaaacbeacdacacaeebdbecdddcedbddeeaccbdbaccdedddcacbcdbbbeedaeedddbdcbeaeebaedadaabcaabdedadcdbccabccceebadcaeaebeabbadaeeaaddbebbabebeaaebcaaaceacbcdecaebeecacbabcccdadaaddebbbcdebbbeabcbabebccdcdbbbcbaaddbeebdaecaabcedaceebbddcabdcaccaaebbdaaeaadacbacbbebcddccaeebcdbaceedebbadecbaecdddbcaaddebbeebebbbcbdcbbcdddeeabbbbedcdaebbcaecdbbadcdbedbebcebceedaaeeecaabeebaaeddcbbaadaacdbdcbdcccacdedbccacdbdadadeddbaccbdbdccadcadedbbcbaeecdcadcdccebbeaebcaeeebbaacdaaaebdbbaeebcecbaacdbebbcdeaaacbdedcebbdecdbdaebecabaaecbebeaadddedeeccbbbdcbeebbedcaadddccecbadedebaeeeabeecbebdaaaccdbbabeeaabaccbecedeccadddbaadccccadbdbaecddcddbccedaeccabdaedeaccbdaabcbcbdededeaadececcaeeadecddbaacaaccdaddadccababecdddebbacabaaebeeebbcddeabbaddccaecdecceaabebeaaaaaacccddcdbecdcbeeebecdceeedddebaceddaabadeeacedcedbadccbeddcdaedbdebbcbddcebecdbeeceaedcddbabbeeeececdbcbdeabbebdccdcdbeeccbeaabacabccdccbdcdebbaacbdecdecaebacdddedbcabcacceeecdaadebacacaaccdebddadbcddbebaadedadedebedbedcdedeacedecebacceeddceabacceddaaaceadbeebabddbaaeedabcdacebcbeedbdbdebaadbdebccaddebceeacccddadbecacbaabccbdcdcbaeddcddadedaabaeecdbccbecedaeaacaaecdebacaedbcdddedeabaacedebbbcdbeeeedcaecdcebbeaaccaceeaedecebdacdddbabdcdaebdadbdebbbbebbbddbdbbdaebbeaddaedaaecdbcdeacbaaccecceabeaebceaadedaddadcdaebabccadbbdceaaacdaccdceeadccecbdbbceaadeddcdaeedaaeddcabcdbcdbdbeaebbceaddbccdcbceeccabccbcdeabaaddacecedebccdbccdceeccedaabebdebadeecbedaabebcecdaaacddbcddcd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaa
bebedbabeccbdceaaecdeaadceebcbadbbbbcebceaaeedbbdbeebacbbbacbcecdeebcbdaeabbbbdbdeecbbbbdaaadecadcdbbcccabdbeebceebbaecaacbabbbdbeeddbabcaeebddaaabdddeaeacbbdcacaaaaedbddaebcdabdcbedbacbededbeceeccbedddabacededadeabcdecedaacbedddabacdcdebaadcddcaebbbcbdabbddedcddbeadacbaaeeaadcbedcbaddadaaaeecadcbeaedaabdcbcbaaaedadabedddcddaadadbaacedcaadcdaeeebadcacabcbdbceacbabaedacbbddcaddeeaebbeddcaeaedadbcbbdbccdceaeeebabdcbccaaaecabdeeaaebcaecccbaabccecedaedaedbcebdddedcdedbcecbebdddedbccdccdebebcddbdecdeacdcebdeebbcdedecabeeaebbecbdcddcbcccbbaeeeecddaebecacdaaedabceaadebddceedbcaabebabbdcdcaecadddbcbcabaaecacbebbabcdddbacceddcaeceeeccdababeccbbdeeeadaecaebbcaebccbdcebbecdbaecbcecaddbeaebbaceceabdedaabdaeadbeddcebcabaecacaaecaedacdcdcbcacecbddccebdedabbdceddceccedaceceeeeaebaaeedabdbccdcbbbcaeaecaccbaadaebcaebccdeeaeadcadcdeebadaceecdbeaccdebcbadbbbceadebcdaaaabaaacdaababbcacabdcaedddccccddbcebbdcccdecbaedcebceeecddacaedbcbdacecedcededbcbcccbaeabbbebaabbaeaadecdedebbdaabbceceaccdeeecadcabeaaeabbdaeaabaceaeebaaaabcccdaddbdeeaecdcbbeedabedbdcabbbeeeaeeaeeceeeeeabcaacdadbaddbcbdbaeeadeeeebbbdcaadbccdbbcddbaeccabccddccdcacbeccacebadeaccdcbcdbdbecabebaabcbeaddabbabacdbbbeabaaadbdaebaacabadbaadacaceaecbbedbabbadeedbadbebebcebdbaaadacbadeeecdbdaaedbabacdaacbbeaebdaceaceaaceddebbeeaddebbdcaccdaeadbabdecdccaeecbdcccaeaeeaeeeabdddcbdcbcdcccbaeacdddacabecbddaedadaaebdeccdddabaeeaedbcecedecacdeadaebccebbabecccabbbbabadeabbcedccbecaeddaeddeccdaccacbdeadbebcadecddcabccdcbcaadabadeccbdaccdaeedeabebeedbdcaccadedaadaacccceabdceaebcbabdbabaacdeadbdcbdbbcccacacaaddbabdbbceddcbceeeedddccadeeaaeceadbdebbecaeaadabcaabadecedaacbceecadbaedcdcdacebcecdaadbaddebdcabeadaccbbbedbdbacbabcbdcaebeedbaacaaebdaadeabaddcbecdacbbcebaadcedcadbbdcebeeaabbeeedaeeeadcbbbeaecbbeaacdabceeabcdbbcbdebccbcdccdcdbebbdeadecadadababedbcbeeeddccbdcbeabaeeccbccbbaecbbdadacdaaeccadbedccdccaacbbbdddbddcdaabbecccaaeeebabbdcbccdbbdeadcabceeccdccdaaadaedacbecaaceeebbcebabceeeecceacbbbbabecadeaccbdcaaeabaadceadcebeccacbdaaaecaabdacdcabbaaccadeabdbbeedaeecabaaceeaaedcededcecdcebaccdcdddeadcddeedceedbdcddbbadcaccaeebcacecdeecbcbccdbebadcecaaabedcdacaadbeceecedaabebadeeacbdaaadabaaeabeaeddedbdedddbdccacabacacebbdebabcaececbeddabaaddeebbaddeaabdbbbddaecbdcddcabebcdabeaebcccbadaeddbadecaedcdedbdabdacbabbcdbdebaceecdabadeebeadaadbdaaacaacdbcabbeabababcdbeabcebdccabcabeccccbcecdaacceaedaedbceabdcacbbcedecabcacceebcdcddcdbdabebcdeacceaddacbaaebdceececbcabddeedabeedaaeeceadedacbbeeacabdcbcaddeabebbcebcedddeaaadeaaeabdaceeebadbdaebdaeccebdaccdabacaadacbeabbbaaecbdabdeddbccedacadbeeebdadababeaeaebcaaebdaddeabaabdcdcbdedaaecbeccecedbccbccdacecacecceecaaddaadcbdeebceebecadacacabcbeddedebbadbbdbeacecaaddeecabebaacceabdacaeacceedacaadcebaedaddccbadbabcdebcacebdbbbdbdeddbebcaaedbacedacedcecbccddbebedbacbbbeaabccdaedcbdcbedccbddbecccaabdccaeeeeadbeabbdaaabaaacdebcbddbdcbacddcd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaabaabab
bcccdadeacdadcbbbcaaebcaadbbadacebeeaedebcedbddeaddbabdbbbebbeecbddeabceadecbbabcebcaddbeabcdcddceceeeaadbdbbecbadbeebdcccbaebecabadecdbeebeabdbdddedecdbccbeedddbcebacaecdcaadcdbacabcaebbabbdbbdcebededeebcecedeeedbadeebebabbcdeecbdabdcebadbcddbcadedbacbeeedededbababdecbadeceedaeecdeaababedaedabedecdceeeedbecbeebccaddadcccddebbceccaebdeebaeacbcebbdeadbabbacdbddeaddcdbeedaaddecdbeddcebaceedcbacedaadbcedcdbedcdedacbeabeccbbcdbcbaecabbbabdeecbabaebabbbabdcadacddcbcbaedecbeabbdaaceeddadbdedbcbcedbdeddbdcabbcaedeaeecbdedeaaacaddacccbadedaeabdaeacbdbbdbdcbebdadebbccdbbabebdaebebedeeeebededcbcddbbbcbaaeedcbebaabbcbdcacaedaaececdceedbaeccdacedbddbaecadbdaabaebcdcbecdcedaeacbadbdeccbdcdebeabdddccabacedaccbdcaeedbceeadddcecbaedcedebdabeceedbdadceedbeebabceecbddcaabaeceaaabdccdacebcecedbaaddcdecdebeeaeeebadcedacccebbaacbdabcdbdcdeecaddcbceaebaaeddbdabbcbbbbdcbaaccabceecccadbeadcddbabdaedebebcceacbedbedcbdddecedabebeceeedaceeaeaabceebaabbaaceebbaeabbcccebdbceaeacbeeebabbdbacdbbbbbceddbbccebaebecdbdbaceaddbabebaabdacbecedbdecabeedeaadcedaeaacbcbeedceeccbcbeddcceedbbaaeabbacdccdababedaabadaabceadcebbbaaedeabbbdbdcededabbcdbcedceecbbcecbcaeabddbcecdccdddaeaacdcbbcbabadaaccdaebeadaedeeabeeadbceabcceacdacebbdabdeadcabebebcbcbacaaaeabadabbaeaaeddddbccabddcddacaecabdedddbccecdaeaccdabccdbccacbaaacaeaeeeadbdbaaedddddbbcdcddbebdaaadcbeeeecbcbbdbabcacedbbeadeecabbdaebdbbcccdadcacccddcbeecdccdcddaebdadabbbeeaadddecabdbeeecaccbebdbbbccbcceddeddbabdbaaeacebabeeccbaaebbabaeadbbeedebeeabadbacbcdbedbadccdaaacdddceddadddeccaadeccbabaecbbceaabebdcdcbbcbbdeaeccbadaeaeaaceabddbcacaeacdbbdcdbdddeeeedbbbccecbadbcbeeaecdcbabbcbeddedebcebbaccdbdbdccbaddddeaeaedebdddddbccbcabaaaebcbeacecbcddddadaabeaddbabdabaebaebcdbbdebbbedbcdabdcccaaedcdcdeaaeccdeedeeabbdceeabdeaacadaeebbbaadccbcbddacdaebabededbeecabebdcbedcbcbcdaeccbbaadeadbedbabccaccbceeceadccbbdeadecdeeeaddebccbeccaeceedbaaccdcbcceadbaaceaaaebdeededabccbccbaddddcbbccbcecbeecbcaedecdccabeccdadbbbdddeeabacabdaabbaebddaecbdeccaebbaecaadabdabdecdadeaeeaacaedebdcdeacabbccebdeadeebdaddbbdbcaecdeacadabcadaaaeeaaabeeaeededdbbabbccecbdaeebbbcbedbdcabaccbbdabdbcebeaacaacbecabeebacaadeddbbdeccddcededcedadabaeaedeebeeeedaddcceccdccbcbbbeddadedcebdcebeeabecbddedcbeaebdcccceebdceacaddebdeedacddabcabdbaceddecdecaaaabdcecaecbebbbdbaededccedaecbbbbeebbeeeceebdcbecaccbaaecaadcbccbdcaadabbedecccaebebdbbdadaeddcddaeacbebebcbcebadbbdbdaccbbbbdbedcdbdccbeebcdcdceaaeeccdbadadedceaabadeebecedccaeaceaabedaeaccaedaeaaeebecdabeeabeadaebedceeecacbacaedaecccbebdbcacabdcadbaedccbbbecbdbebecadebbbeabbacbccbeaaeedabdecbaacaacbdddbceedbbbbaebddadecbebdbaecabecebebbaeaadddebdbadbaadcbbdcaedcdaaccadbebeccacbdeebaccbccceeebbcabdbeacdbcdccccbecbabacdddbebddaeccddaedbbbdcceceebccdcabacccbddbeeeecbceecbcceabeecbbeebccecddcacdbdaaeaaeeedbebcedebabcdeebadbddcccacbbcacacadcbcabdbacdcbeccdecadccdbceccdadadaedaeeebcecbbaeaebdacdddccabddccedadbcbbaabdacdacaeaecdbcebaecabbbbabaddcedaceaeedaaecddcebdbbaeaabbbeebcdbecebedecdbccccedddadeaabdbbbaaeeacadadaadcdcdcdecdabdebdeedbcbddeebecdbdbbeaecddbadcbeeebeeabcbbceaccbebdeaedebdaadbddccadebbceaddeabacbdcdaabbdcebecebcaddaddaededabdacceecbeddacbdeacddddbcbadbceeaecabababcbaceadaaaaaecccacebdbcdcaaaeceabbadcabeabeeeddccebbceebdadccccbcabedcedabbbeabacedbeaccaddcdbdadaabecabddcbeeeceaacebbccbcebbabaebaedbaddbeaeaabaddebcdeceadddacadebcdcbdedcecbaacbebbdaecbeacdedaddbecabcaddcaceedadbbabebcaaeacbededdbdcdcdceddeabdaabeaaeabbaccdcdbaacaebaaadedaadbeccaeddbaacdeaeeecceeebcdcdabeeababbcacdabbaaeecbcebeadbcbadaaacebdbeaecadbcccabdbbeccadeeaaeeebaabbcceaedaeaeabbedddbbcaeaceebeaeecabbdbedadebeeebedcebeedacecadebebdbdaebbcbbedcdcabccaddbdaabdebdecadebdabacccaebcccbcaaccdabebccddccdadbcaacedabaebceeedbdaacdecdcebcedbeebbebedcaedbedaaceeccaeeabcaabccabadadddeebedbdccbadaaedecccceebaedbccacbebbaddebbdcadebbcbbdebdacebcddaeadbaeeadaddcdacdbdbeacbebecacdeeebccccaaaeadabacabceacbbaeedebcedebedacbccaabdaeacbadbbddcbdcbbacebcbdeaecccdddbdbaaceeccdeebeddbbceaedebebaceebbbbcdeecbbcbdebaeebdacdcbceeaacddbaebabeaddcedeeccbeabeaaebeeaaacccaaddccbdeacabeddcabadaceccdaadcebedbceeceabececbaebeccabcbaacdaabcbcebcdbedebdcbcdbdcbcaeededbaccbeaccdbcddbcdceadbdecddcbeabddebecdbcbaaeadbdbabaedbecdcddccbabcaeceeccacabcdcccdcedbdeedddaeeecadabbcdcaacecabddbcbaedeebddaaebcdadbdcbacadcbadddeaeedcdeceecdbecddecebabbccaaaadbeabccdaaadddccdaeadacbdbbcdeccecebebebeabdaaeebebebcedbdcaebebccaeedbeeaacdbccbaebdcecebcdaeceeceaebbaaabdebeaadceaceaddedadceecacbbdbebddeacebaccacdadbcedceebceeadedbbbaeeaadddcbcbbeeeaececaeacdbacebaeeaaabcbecceccdacedbedaeccbdebaeaeedcdeacbbdeccecbdecacbedcdacdabbabccaeeeaebababccdaaaeadcddeadacacceecdaabacacadbbaedaeebbcedabbdcbbddeacbbdaebcbdccedeaaccbccdcdecedcbecbbaacaeadddcddedbeaaabcbddeeeacaceeccaccccdbecbeeeeadedcccadabaebebceaebcaecdbdeaabaadebbdbbbddecdeaaedabdcddcaebdabdaadabaeeeadacebcbccaedabcbcaaaaecdcceedbeacbabcbecdeaedcebcaedababdcbcdcaeebeecbdbccaecdcacdebbacedadbdbcaabeecbcadbcabbccbbecacbeeacceeadaebbbeeaaedceebabebdaaacbabdbcbdcdbacbbecaeddbcbceebeaaeccdaecbaedcadbadaceebbcbdbdaecde
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaabaaabab
aabaeaabeedaaccaaadacadccbcdcdacdebaabbcbbadcabbdecedcdacecaabdcecaabadecaaaeceeddaaecadabbababacbdbcbdeeaedcedccbbedbeccbaeeeccceaeddeacebadaebeacbdeaebeeaddbadadacecaceeabdcccadacbccacebdcaaddddcaadcedeaadccaecadeebbcbbbccbcbcaeccddcaddaebcbbeadddbaaeedbcecebecddcdaeadcaeabbbcdbeecacceaacdeaabbeadcbdaccccbbddeadceacbebabbccdbbebcbbeebbcdecacccbdbcaacecadaaadcacbeaedbbeacbeaaebbdbdeaeccdcbdaedeacceaadddaedacabbbeedeaedebecadbecdaacecdcbebddcdbdbcededeaecddcaecacacdbeedbcbbcccbbedcbecedebbaabaebaeebeedecceecaddcccaaeabbedebbacddeecbeebceabaebeecbeecaaeccacbbcbcdceecccbeacadbedccceacbcbeddccbedbeeeaabaeabeecccaaedddbadbcaececcdabbbceccecabeeacedceeabbabbedcacecddebeadecbcdbaabdeaebececaeeeddeaedeeacbaaddacdbeadeedebacbceccbcdddcdaddeeabebddedbababceeecdbedeecabceccceccecdcedbdaadecbaebceadcbcaaebeabeeccccdcbabbddaadcecceeeaebbbcddaacbbdddebdbecbccceccdaedeececabdaaaecdbaabadbccaeeaaebdadaeacdbcaaebbaaeaecbceeebadbeaceabeaadeaedabbbbbaacedcccdaccbdebdbbbaebebadcadebadbdeddaedbeebbcdebbcdcdaeedebeacddcbaacebbaaaeadbdcbdccbbbedcebaeeddeabdecaabbaccabcbebceacbeebbaccbcebaadeebaadcbabbaeaacdceadbaacdcaaccbbeadcdecbedcdbcecdcacaebbbbdbbebeedadacceeccacecaacccdbedabedacedabadcadccbbedacbdecabebabebcaddebeddebdddebecacbabeacdaadbeaadaedbcacaaaebbcaeeaadeddcddaecdbeeaebbdedacbdebdebeacdddcabcbcebcbebececddaececdecadeabaccecdedeaddcddacaaecababbcbbcbdabdaaabddcaeadbebabeabeaaaacadadceedebbdeaadcceedabdccbeadbceddacececaabcdbbbcceeaebedeaeecaceaeabebbceccbebaedabeeebabebbeabbbeecdddeadb
aaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaazaaaabaaaaaaaaabaaaabaabb
adbbdcdbdbbdccaacaeecdddcceacbdedabcccbbedaceaeebeaacccedddebcbbecbadacbaeeaacebbeabcbbbeacabbabdcebcaeaedcdecebbeccadbaedeedcecbaccdceedbbccdcdadcaeccbcabbeebbbcbdadbbbacdaecdbbbdceacaecccabbbbabbdddadeeccccbacbaaddcdaabaaeeeadceceeabddbdeebcceaedccadacbecbcebddcabdccdcdbeaabeeccecdecaaebccbeaebbcdcecdaeecabdaabccaccaceccadeeededaabdcbaeecceeababbbaadebcacecdcbcdacadedabdaeeeadeabacedbeedbacecdccaadaccebddaccdbabbeddebaeebcbdbeeccceddebecbaacddabceadeeedbeacedbccacbccdcdbdddbbccbbbabeeabaacbebceabccabccbcadbabcebadcdbbccdcebadcdcbbbeabcaeaceaebddabdebdcacdceeeeeaddebdcdbdaeaaecdaddacecebdecbbbbebeaddbdbadbeadabaebddbbcbbccbeabdacceeabbeccbbcdebddbcaaccacccaabdeaccacdbbebcaebaecdeabcdaacbbedceabedcaabeddbadacbcabdacbdeabcceaedeedaedbeecddcdccbeceaacdbdcbeacccddceaacebdddcaeebeedbabcebebcbbadeaacbdcbddacadddadbcbbcebcdbaecebdaddceabcbeaceedbaddadeabecbaebdebadbeadceacbddbeadeabadabbdedaabebdecaaeaddbdaabcdeddceaeeebbceaceebecbdedaebebbabceaaacecaadecdaeadebadeceaeedddadaacdbabbddbebddccbaaecebaceaedeebceaeacdedbaeeacceabbaabbdaadccdaabbceecaeeacdabbadecaaadecdcabdecaeacdecabbbbeacddcabacdcacddbdeadcebedeccbbbadeacbccdbbcbcbbcccbbbcbbdabaaceceaaeeeaacdaecbadcacadcceddaeddccdeecaddddaeddabbddbabddecbbdececeaaebbebceaeabddcaaacdcedcabbdbabeeedeacddbebeaabacebeecaebebcadbbbdecadebacebbeaadbbdcccbbbadbacdcadecaceaecaeceaaebdecdcabceceaacddadbbcabccbaedacbdbbaceabacbbadbaddeeddbeeedccedebbdbebbcccaaabddeecbbeddbbdeaceaedcbabdddedeebaddedaacdbcbbcdedbebdbceccdebcacdacceaabdcaddcaadbeacaaaeaecadecccbcecdccdaccdeddccaaabcebcebcedcbbdbdabdeaddceabbbbcaacaececdedbeeabccbdaeabbccbeeecbeccceabeeecdeebadbeecdcedaaedeacdabcedeebabbdebcdcdddbbbddadebbedaeaaaeaddbbabeeceedddddabcbacdabbecbebeebaedeeccaebaabaedbaedecdabbacdabdabedddedcbcaaaedceccaeceacacacebaeeaeeecbbecbbeededabeebbcdaaaceeaecbabedaeccebbbccdecedceadeedcbbadceabdaabbeeeacdacdcaaaaadddddaabdeabaecdceaeeaacdbebbeeaaccddaecabcbaceaadadcdecdaacdbcedcbaaeebbbbebdebcedbbbeddcbbebaaaceadacdeecdededbeacbcbaebabedddaedccbebdccbbbeebeaabbcbcddedcdedcdcdbcedbadddaeacbcbcbadecbabbbccccceaaabadbeceaccccacecddaaecebeeeaaabecbddecdbeeedcadebaeebdeaacebdbebbbcbecbdccbeebcbcbeabbbceeaeeaccbbaaeebdeecdbcacdbcdabbddeaaabebbaebbcceeddcdcdccbcabeabcaddbedeeecbbedddcdaceceedbcdbebbdcccabadeadbcacacbcdecacbdbabeeeaaeecdebeaecccccedbdacdeabcacedaadbaacdbacecbcabaccaebdcedbccbdcebcebedebececdeaccaaaadaeeeabebeecadedcaaabeeceaadbeeabbdadbbeddeaaaebccbdabdeeebdccaaddddacaebcaceeecadbeceebdcddeddcecacabbaeaaceaecabadabbecceaaabebacddbaadcdbceeabecbaeededacdcedacdbddcdeaaabedcdeeacbbcabdedbdcedbadebadebaacbaceacbbdbeccacbeabddecadcbaabdceecacbeddebbdbaaaeceaeeedaddebdaeceeceedeeaadbcbbdbccbcbaabbbdbaabeeaaeeacaabaddadcaabbbbebcaabeacbdadedccbeebaeabaeaaadaacdeadecbcbabbcbdeaeaceecbeacdddaccdcdecdbdebbaaddebaeaaccdabedaebceeebebeaeaacbdadcadcccebeaedcdebeaacdbcadceaceacccadababecdabeeadabbbaabccebcdbecdaadadbcbacadcddeaacbadccbaaeaebdeacaeccceaebaacbabeccaabeadccbebbabbedeedcccaaaebecbaecbbdceabcabbececabdcecebebbbeaeeebabbdbbeeeeddcdaebabbbeebceeaecedaeccadbdbbeabcceedbcbaccceacceaabbebbcbedbdcadedbbdccbcdaacacaaabdbadbcacaedebbebccdcebbabbacdeacddeabbdccbdadabdaaccadabaccaaeacecbcdbcecbcdacacbbccdeedddbecbdbbcccdacacbabcbcbceeaadacededcbeececdbdbdcecaebbbdadcdaaebceacbaecabadeeddebbececbdcbcebeabadaceeaccdbcecedeeececedebeddbbacecaedaddcacdadbbcdccaddeedbbecacdeedeedecddccecdbadaddacbccdecabdacddecaaeaccdbbacaabeebadbeeacaaabbdebdceedbcbedddeebdaacbebdcdbbddeddcbdddabbabbadcbadcdeebeabbabbacceabdbdbaeeadcbadccedbdcaddbedcceddcaadbaceeedddcbbbddaceacecceaceebabbcedecdddeaebabaecdeeaedbbddeabedecadbebeedecaebbecddccbaabdadbbceecdabeeaabdebececdbbebbabddbedacaeeabddedaaedbbecccecabecdbacbeedeabeaecbbbbadaedccbedccacaaeedbcecbddabebbabebddbabbdacdcdebeaabaaeeaddeededabbbdadeededddedabaadabaeebebedeedbadbeebceddeadabaaedaccecaeaedeaeebecadaaaeaabbadcdbccccbbeabbeeabecabedeadeeeadceceadadabbdcaabbaaeabdaabeaebaddaaebcdeaddedeecabdddcccecececdabbbbbeadecbeaabedbbabcbaccaaeccaadebeeaecebeaccabaedaadceabddecdbdabeccececcdedcabaddcdbadeedbebabbabcceacbddcdebebcbebcdccabbbbcacccabdbeebabbabbcdcbabbaabcdbcbccbdebadbecccdbaebdebdeeeebebbecdeeaeabbbaadacccbcbdcceeeaeadeccdeaecbbeacdacbdcacdbdbdebdeeccceaedaebcbdcaddadadedeccdaedcbddeeaedeceebebeacccbbacddddeddbbebdedeecedbbddecaaaecaeccadcdcbbbaadadbaddbedeaabadaebaccbacbbbcceaeedbdaebdddadeaebedecccedaddeaceedbdbcbbbbdbbdedceabdcdaaceebaaeeedddeaecebcabcbabbeecacadebeccabcccdbecbcdaeaabbdceaaeacbbaddabdbccbccbbededdbaacedadeccbcedecbbbbbbcbeaebebacbbebecabecddabeabcecbabacdbecaddeedacbedceceacebcbdddabaedceaccdacdaeeaadbbcdeaccdaabdeebcabaabadeacbcacebbeabdaacdcbdbadbcbadcadbbcceaeaaedddceeddacdccdbaaecceedaadaaedaedaebcbddbbacbdabeeeddbaecdbaedbccacbaebbcdedbcdeebecbcecbeaeaeabdabccaaccdacecbbeaaccacbbbeceaeceebadbbeabeaedcabebcaedddcceebeebdccbedbccabbbcaebbbdcaadcdacdbeaceabebbaabdeabdbaeeaedddceaccdaececdceaabcbdddaabddaebcacdedbadddbbbcbeeedcbdeadcecbebeaadebcdcdbcaaaababceacbebbcecdeccaeacdbabedacdedacaabdaedceeeabeebccaaacbdacdbbbbdaabceaeca
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaababb
deeccebddddcddeaecdacaebccccbeacdedaedeaabcededbcddcdeccdbeebadbabaabeabeeaadcdadcdeeedcacecbcdbdecaacddebebabbdaedcdedceeeeabeccdcaaaccabcebacbccedeedcdedebeddeccdbdcdacdbaddcccdaeebeeecabaeaabcdcdbbadaeeeaaecbcddacdeadbbbadeaceaedaedaebedabdeabcaeedbadabdeacbcdeaccabcdcbeaaeaecacacbeaecdcadbbbeeccebbaccdaaadbbbeaadddebcecccaccdbbcaabdaadaebaddbdecddbdbcecbdabcbcdadbccaeaaaecbdaebcdaddeccabdccbabbbabebcbbdecaaececcceaeeeadedecebcedeebeeeaaeaeedeaaebaeebd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
ededbabaccebcaeebecceddbcdacaaeaedbcbeddbccddececdbcacbadbedcedbcaabdbbddeeecadaeaacedacecddcebccedabddabcaeaeacedceeabceedbbdacddacadcacdcdebbebeccdeeabbeecdeccbcbdebeabeccbcdacdbddacbdbecabecbabdeebdcccccbabeeaebebbdaadaaebacbdcbbaeceadbabdbcebcbbecbbccbeaedaacadaabeadaeaebecdecdbdacbccbdedaeedbddcadabbdebddedcacbbadbccaadeadecdbccdaacdaddebebdddbecdbdbecacecaeecedeeaadbdbebeddddedebbcdeebecebbaaaabdddacebaaaaeddbacaadaaaeceebabcaeabcabebeabaeecccdacdedecaecdebbeabcdcbeadbccdcacbcecacddcbeaabdeccabbeeeeaedbaccacbcbcceedeeaabeeacedeccbcbcaeaeeedaebedddcdddaacbddccddaadbbdbbaabdbdbaccdabdabeacbbdaecacbeeebdbdacdaedbeaedbcdabeabacdacacedcbaebddacdbddaeecccedeebecdeabbdacbcbcddbdcdddcabddabecebadceebbbcdbcdabaacbbebeabaadeeddddeebcccebbbcebdbbcdccbacdadaebddacadeadebbeecdedbcedacddbcadcaeacbbdacebadecaadbadcacbcaaeccdcccacdaacaddbcbacabccaaddbaddcedcdbeaaccbddadecbacedcaeecdbbeacdbbacabcedbbcabaacdbcadddcdbebaaedcdbbeebdeebcbcdbaceabacebbceabeceeabaceeebeaecbcbbecdbabbedbbdaceabdeabbbeeeadbccedeeadbbecccccbeeabcbccbabbddaebbdbbccaaebcbddecbacdabedbabadaadebadceddbcbcdcebadedbccedeaddcbededbbeabdcbebecebdbdbaeaaedadcdecbbdedacdaaacabbbcdcddacaaedbdadedcbadbdcddccaddbcaceceaedeadeababbbbdececbecadbadebeacadbccbacbccbabceedeaacacbbddddacbbbacdbeeebbbebebebbdaecaedbddeaaddabccdeeecaadaacacebedebcadcdbbdeecbddaaadbaedcdbbbcacbabeeebbabcccbcaacbbcdecaabdadadddacaabcccdadacecaabdceeebacaeadaeedeedeaacbedbcdedddbeacddaaaeaaaabbecbddcaeabadacbdccbcadcccddbaddebbaebadddddcccbbbcbeeadadcdadebaeeecaecebbeaecadacbbecadcabcddaabedeeeadecabaaeceebcaaabcaaececeecaddaedbecdababcdccbdacdebdbcacbebdbddaeeeccebaecdddbcaedddbbcdbddcdadbdeacdcbbdbabccaeeadcabcdddcaeaddbcddcbcaeaebeedabdeeddbaecbcadbecedadbccadcaaecdbadcbdecaeadebbdcabddbeeeadaeaecdeeceaaebedbbbbcbdaabdcdbceaddcdeabeddcdbeeaebebeabacadbabcdaedbbcadeeebabdebabedcbdbeabddeebdedeaadddaeeaecedbdddacebdaaabbcabacedacdeaacbecedbabdbeccebadcaaebcaddceaacaebecccdececbadcabbbccbeadbeaebaccbdbdbdcdeeccccaacedcbebcdcaeacaceecaacdeaddebdbcbaccdcdedddaababedadbdcccbaccabeebdccdecbddcbddacecbcaddecdbadecebeabaebbeddbacdbdccbaebcdaeaeedddcaaebacaeaaaadbcecccbaeacdccebebdaedaddbedbcebebebebcddbacadeedbeaaebbecebcadacbbaeeedbdcbabcbabdceacaedaddacebecddadaddcddbedadcbeccdcebeeacdeebbcecedabcbcdeaeaeeeaabadcbbcadededcdcdcaeeceadbcdbbdacea
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaabaaaababb
caaeceddbecaadcabacddceeabcbacdecbeeaececbecbacdecebecadccabceaadabbabdeeaaecbacabeceaeaccbaeadeaaaabeaccadacdaadcdeeebedecdeeaeeeddabaaabaacecddaeeaceeedcddaeadbebebcbddceacaaaecbabaccdddeccddececadadbabddcacbaacaadcdebebdcbdeebbabeccbaadadccadcbecaebdbbdadeabdbcaabbaeaeeaecdcecadadbabdceeedbdbecdbecabdeceeadcbebddeadeaababcbdbdcccbeeabaeccacabcdabddeaabdaaddeacabdaacbcbdebbedbdaaedecaeddbbaeaecdbbabebcaacbcccaeeddabacdeeebbebdbdabdbcacbcadacebddbeeaebbeedbebcbeacadacbadaaaaabaeedbdaadcaebcbebccdecbbcdbcbacaeebcbcaccdbbabeccecbcddcadeeceaddcaecbbcdabdbbbeebdcceccceddacadbaabebedbccccbdeddbdddbedacebaedeeddbbecebeeabddbeeebcbdcddedadddbbeebacebccdabdbccdacacedcabeadbeadebcedbdedcbeaabddbdaacecdecbbcaedbcbdcbddbeeddddebcbcdccdbdaceaddabbacaabcdaabdacebecceacceccbcbaabcdddddacccadcaceabbbeaadcceedabdacaebcaeaccabeecaaeecaceebdcabeceaecacdaecbcedbccaeacdabaaddeccdecbbdbaebebaeeadbcaecddaebadaeccdcaacbddbabaccecdaaeebbbbccbaebbcddbeeecebbcdccaaeceadcbbbceeedbdecaacbeecaacaacdbaccacbccdddbaddbdddcabccaedaceeaeadbcbdccacdadeadccddabedcbbebbbbdaabaededcdbecdeacaecbacebcccadbaddebbbbbccbebacdbcecddccbeadddccadcbaaecebdbbcbcedcbbcdbbbeabeceaacdcddeeeaeeabbbcbbeeebbcecdeeaceaddcacebdecaeacecbdbeadbbcecdcaabbdedadaacbbddddcecbacdcdaaddeacdedbeaccccedeababdcacdbecbccbaebbaadbceacaecddbcceeddcdbceebcecdcdaeccdcdcceeedbdacceadeeadadbadaccccdbbbdbbbacaabaaeaccadebbcaddaeadcecbbdbccebcedacdaaeadccddecdedaeeaaedecedaccaddecbacbcddeccdeabbeaacebcdedacdebaabebabbbecbe
aaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaabaaabab
beceacdedcccbacecbdeadadcccedebacdeddaecdaeedccbbedbdcaccbaedcbdecbbaedaddedadcaaccbededabaadbecceaadbaeddacdbccbcabbddedaecdaacbaceeaaadeaecebabaccddbaeaeaceedcaceebeeceedecedbecddcaedaeedaaecadbcccebcadcaaeeecabcaaacdebceedabbaaaabebacabecbbbbbeabaccdbdebaecaceabbeccbeddbeccbbcddbdbdaccdacdccecaddebbedcecccbbdecaeddcaacacaebccbeaaaebeacbcbdcccdccaedeaaaaaabaacccadcdbdddaebdadabbebccadabcaeadebaecdabcecebeaaabdeceeeddceeaeaecaeedccbcdddadabcbebccebbacaabcabadeddeeeceabedebddbcbaceecbacaadddbabacadecbdccbdcbbddaaccbbecaadcecebdeaedbaccabbaaeebcbacbdddceeeacdecddaabebebdebadbbabccbaebbabdabcbadecbeaeeadddbecadbdadccabdedcedacccbcacdcccedceebeebadbacbbbcdaccaaabeacebeabdaebccbeeeddbebadcbddeabecececdaddbdeebdbddbebecdcbdbddcdbcbedbaaedddbdcddcdadaeeddcabdbdbebcabaeecbeeedccaddacbdcbbcbabddccdecceceecaecaeedacbdeddceebcadebdabdbceadabbcbdcbdaabdcdacbbcaacdddebdaaeecddcbdacaceccddbdeecdeaaceaedeaaccbdcdbdeaeaecbbbaceeebddbddbabeabebecadddcceedebadecedaaabecabbbeecedbadeebebddcccbccabbebecbcabbebdaedcaacdbedceceeaccadabbabaeaabbbabcecbccbbdbeaeccdaebdbbcbdbaaeadbbcdebeceddeeaedcbadccdcdcddcedacaebdbdbecdbddacaabaebebaadbdaecdaaaebbabdcdeedccbadcccedbbaabed
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaabaaaababb
abbebcbadbdbcdedbdcceecebceeabaabcaeacaddbadcbeaebddaadceeedeadbbeedbccaddbeaecbbaebadeeabddbdeaeabaadeeebaedaaacceececdaadbeddacecdabdaadaecabbbbebeccdabdacbcdccecaaedccbdceedbbbeadeadabdcaccabadbaaddccedcebecbccaeddecacadebbdcdacbbccaedceeadadeadeaadcecdbcedacaccabeeeebbadcbadedbcadcccdeaacceeeccaacababacddeaaaabbcdeebbaebdcddeaacaeccdccbbddcdbdbbbbadadbcedccdeeadabceddaaaaabdcbddcdeeaacabaeadbcbeadedabdabeccdaaeabddbcdaadebcaeaaebaeeebacdcaaabeccdaeaeabaacabaddbbeddddaeedebcbecacdaedacebdbbbcaedceeadaeaedaabaacaaeebbdeeeabbeddabcddcebdedbbbdedebceabdbeacedaeeabeedebbcacdaddbbebacbcaeaccdbbdddbabdeecccadcaaeeeddcaeaeeeeceedcdaddebeaaedebcedcdbaeaabacacdddcececccbeeabaedadcbacbeeecadeabaabdbcddcdecccecdbeeadadceeabccebdcdebcdbbcbeadcecbbbacaeccebaeccbeaababdbaabecdbbbebcabdbbcbadaacebccdcdceedbedabebbebcdcaccecbdeaacadbadccaeaecaabdceedabeeaebeebadeaebaeaeeeaaacedcaebbacbbaaaeecdadcebacdcbebcccdabaabccaceaaacdcdaedccdbebeaacdacbeaacdecaabdaddebdbaccdaaecaeacbbabca
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaa
cdcbcceedeabceeeaeaedaeaddcbebdeaccdaaadadeeaebcbbeebcceeaacecebcccadbccececdaccceaadadcebccdeeabeddabebdacacabaccbabdbebcbabddbccdcecdacdaddbebeececccbcdddbbbaeeeaadccecaddedcdcbdcdebbeaabaebaedbdabddbebceadeeeadaeedbeebecccdbadaccceeeaebdbcbbbdacddbbcdeaebaabacdcccbedecadeacdceadaecbcecbebaabadbaecebbadccdaebdeecdceeacacddabdbedaccbdeeeebeabaaeaaeadaedcaeecaacddadbbbddbcecadcdddbcaceaeacddbbcbedbedbedbabaeeaabdbcceacececaacaddcdabaabaabbbbdbbdaccbbeebdeadcebccddaabbcdaaedabcadccdbdecdabeeeceecdaabbbadbdedaadeaddcebcbdbddacddbabcecdbacdeeeabdeaedbabdeaeeeaeccdeeddcbdbdddabaddbbdbdabbdccaaeacbcccbccceadceebdacddeddaadccbdbbcbbdadcbecadbadebbaacaebdaabeeedecedaddacaddadbdecaaaaccdeabbdbcecaabcabbbabcbbcdddecaeededaeccebebedbeaabeddeeedbebaedbdcbdbcaccadcdbdadebadbaeacdbbccadccadbdbcacdcedcabecbdbaeacbebdbaddaaeeaaebceabaebcbdabdabaaeccbebddeedbbbbcdbcecadeabdbaeaaadbbcdedbdacaecdbaecebdcdeaaadecadaceabdebbcbcdeedceacadadcddbddbeaecceddcbdbbcabbbabcbcaaeebabcdcbcacacbcdccbbbebabebdcebadaedcdadeceedcdaeebcebbdebacdecbbbadcdccceaaabbbdcbedcbbaaacbdcbabcaeebaedadeddbddbabcecaabbdbebaeaeecdaadebabdadaeabacbbdebebebadbcabebcbbeabdbabcbcaeeccbabcbcbaccccabdbdbcaaedaaaceadebbcddbeaecddabadddedccbcdeeecebeddecbadbeeaecceecabbcceacabcbddbddadaadcdcbcdab
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
eeacacececbbcdbcdaebadecbedeaaeebaedeaccbdeadbeadabaecebcccdcacaeeeeedcbebcdeaedabaeccabaeacbcbeadebddceeceedcabcdaaedaebabadecccededabebeabbdeadcaebecadbcbeedccacbddccddaadaeeecaadbacbdddebdedcaaacddaadbdebecdcaadcdbbaecabbeacdbbcccbebdebbaaaaaabadebbbbaeceedcbcaceeadcebedcecdacaeeaebbbbcaaebabdbeeeccbbcdceecedebcacddaddcbeeacddaccbaebbebceebddccabcbcbbaaebdeedeedaaaabeecaebadadbcddcccbbeacbdacbdbbebcecdabadcddddaadaadbbebbecbceeebbbabcdececabadebeaabaeecbbdaabcebcebecbcadecbecddeeddaadabbbaaacdaaaccacddaaeeabcbabecbecdeecabcababbabaddcedcdececabdcebebbceaaedeedbaeddccbbbeabbdaccbcaaaabbcceceedbaadecbeedbaeddbbaaecbaddcaabbdeddcbacadedcccbeaebccbcecdaaeccceabeaeccdedbebedebcadcecdbedadaeabbbbeabbcadbedddecdabbbcecdabcbccbdecaebbebaaadaddccabbaeeeadadeabaaeaaebacbeeacdeadebabcbcdccceaaeacbdeaaedbbadadacccdaebabbeaddcbdbbadadbbcdadabaedbeeebbbdbdcdadebdebcdedddebabcaebceebaaabacaeddceddbdbdceccebaaebceceebccdaabeacedceddadbabdabddcaecaaebbaedbebbaedcceeabedeabeaeedaeedbbbbdbacadebbdadbbadebcbcdbaabdecabebcddeaeabcdaeccbdadbadcacdecdaddadacccceedccaedacddcbcadecdeeeceedbceadeaccdceaebdcaeaaeeedcabcaaedcccdabdedbcdbaabaebddbbdedeeebdcbedbcadccbbacaddaccbecbacbacdeeeeebcacddbaaaaeeabeebaedbeddaccdbaabcadedbbbaedaeeebcbbadcaabeceaadaecbadaccaacadbadadaccaabcecaeabddadcdebcddeddaeebeccaadabecabbbcbebeeacdeacebeeeecbdbaedccaaecebeadbdbeabdcaecaeedccceeabbeabbeeeeceecbeccdbaddcdbcbaaddbdcddeadebcedacebebceededabeeecbebadbdaadaccbaaebacdacdabcccbdaaadabbceacbabdaabbcaeecdedcbddcddeacbdaeedbdacebcbaeabcaacadcbebbbbdababddbbdcaececdacdbdacedabdeccacccaabeebdccbdbebbeebcccaddcbbbadbdabbabbceccebeaddaeddcaecccbddceddedcbeeaaeeaadedcbbdabbbcaeadbeceeccacebacabdbdbbbebebebebaddbbbdecceeacddcbabebabcaaeeaeedddcaeacccacbecdbdcbbcdebdeaaddbdbeaaeaecbeecabebacceabedabceeddaabbcacbacdbaacbcadddcdceacebdcbbcdabcbbdacdcacbcaccdbadadcccbeeaebdbadaaccccadcddeabccaadbbcbdbeaeaaedbbabcadacaaeabecebacaadbddbdbedcbebcbdebbdbebcecebacaecaecebdedaeedbdbcbeebeeecdedbaeedabebdbaacbdaaadbaddaabcdbbaaacdcaecaebdceabdbedceceebeeabdaaaeeecddbddbbbadecbaabbdcdaecaaddcbdddcceadabcadcdadddbbdeccadacdcdccadecccceadbbcadecbdcaceecccbdbdabeacebabaaebbdcbcaecbeeecbdddcddedbceddbdbceadabdaceebcaedadaecbeecaebccebbaeabbbebddedababaaedbbcecaddbcdebdcedececdebeaacdcbcbaeaeeeabbeabedceebecdbbedcbbeecceebedbeaabebabdedacdbbaebbcaaeabcdebabbedbbdecabcdeabdeebadaecdcadbbdadedebacbaebddddaadddcaeaeedbcebaaeebabecdeddcaabbbccdabdedbddeacbbaddaebbbeddadbdedabddeacededaaddabdecdbecdbcbecdccebdabebeadaaabdbdbedaedebaeaaabccbbceabdbadddebdbdabedacecaeacebdbaeceaebdaccadadcccbeeacddbaddbbedbddeeebeaccbcdeeeabddeacedccebaeacebddcabcbadadaecddeeececdbcdedecdbddadeacadddbecddcaceddbbdcabdaaceaeddceddbbdbdaebcabcebceecbacdddaedceabceadeabeeabcdeecdeedeaeacdedbcbeebcbcadcddedebbacacbdeeccababebcadebacdccacaaccdbaccecadcbbbddabdddcccebcceadeadcaeddaaceecdedaaccbbdbccabdabdddeeecdbbaceecddedcccabdebcecdeacabcdabaeabedebcbabeebeedadaabadceebeebbeecdcccdeacbddeeabacdcebeabbbddabdeedecceedabdaadacbadaeeaeddbecbabecaeeebabadbaeedbccccbdaedcebebebabcbbbebbccdbbabdbdbababdbbdddabcdbadaecdadeaaaaaeeeeabadbdaebcaaadbabbcbcdddbeacdeaeabaadadeadcdcdbbeacddacbcbcdcacbdeccbbebcbecbdecdaaebaaeeccddaaabaeecaeeeeedecacbacebbaeaacacddebddcbaadebdebeddccecabdeabbcaedebeedcbaeeebcdbdccaeedabbeabebdecccbbacdbedddabedbadccdbdcacaaeeeabaecbbcacababcdbeabdcaecacaddcecebaebdecccdaacaaecabeabccecdeccdcceadcbddabdacebaeccadbaddbcdbbcedaacdabeaccbbaacecedecdcbabbadaecbbdbbececbdbcccacdadeceddbdbadecbdaabcdeaedbeadadbacccacbeadeebdcedabaeabeecbeddacbcbadbcdbadeacdebeeccdbadacacbccedeacbbdaebbcadaeeacbdcbdacdebbcecacebbccebaabcdabaddcdbbdcbabbaddcccecadbaedaaadaeedadbcabcecdddaddbcabdacdebcddecbddacdddccbcdcaecabacaadbecbbaabcdabeecabddcdebeebdddeccbdbddbeaeaddeeccddbbbbecbbaedbaaabceaedecbabcdbabeaaeccddbaacbbcbaeedccdeddaceaaabeedaaeddaecccdddaccabbadecbbadddceacbaddeeaddbbbdcaeceddbcdebdceeeeabaccdcbecedcaaeaadbbababdbacbaccabbebadddeeaddbbcacaadabdcebcbbdabcbcadbdcbdbceeaccbdcdaebccadddcdeabaeeaaeeacadaccbacaedbeddaedddbeccbeddbcceabaaeeaeeadaacddccddddbecddcacdebbdcaaeebdbcbdaeddbbcaebbbbcbebdeaddabdeedddacbedecaadbbacceacbcecceabbaaaaadbcabccacadedbaabaaaeddcbeeceeaddbdcaceedbaacdbbdbaaeccddeaebecceaaabcdddadbcdecdcaadabdeeeacddedbccddeaaecbbbcddebbdccedceabdcbabcadebcbeddbdcddbeeecebdbceebddcaabebdddcdebadcaebeadddbaedccdcbddbbaadbcddeeabcbddeadcbcadedcddaeacabbbbbceebadbbbdbebaccecdcebaeaacdaabeeabbacecdbcdebacbadeaebbadebbcbacbcebbdedbeddaadcedbabbcbcbaacaabaaeeddccdacccdecadeeedbaabdcecdcbbcdaeaecddeaaebdacdbdebcdaedbaccbbddbacdaecdedcedeaaaecedaebdedaabaedcaebaaeebebcedabdaabcadbcabcaebeaecdceaaadddecaecddacbeccddcbcddabbbcbedcbabcacedceeccdcbabcbbeaadadaddbaaabcbaebbcadeaaeedcbeebaddcdbbbacaeabbddecddcccdddacdecccabbacddaccacdabceebacaeaeaceabcecebbbbedcebeddbabbbcebddeadbaabdccdaddacdcaedebbdecaceaceaaaacabdbbebeaedbeddecdbaaadacbeeddceadbcbacdceaabdebdceecdbdddbbbdebeddceadebbbaaeacddedacaaecbbaddaeaebdeaabbaedcecedadaebacbccebaeeacadbabdbbdbaebeaeebeddbcabddaedeeaadbcecebbedbebbecbd
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaa
edcdbabeccbbddeadcddaaddbedeeceabaabeabcecbedabdbcbaeeaaebaedbadcebabcacceedebccbbcadebabcddeebcddcebcebbbaaaabaccceebadcceaedbecdaedbdacdbdbebcebeacaeaedeeadbacbaddabcaadeeccdbebbdaeabeeccaebeeabcbaaccdaeebeceacedbbacceccbdddaedeeedcdeaddcdadcbbaeccbabeaedbdeddabebcdacbceadaedaaebdceebeabbbeaaaecbdddecadeaceeacbeeadbbcdbddebccdebcedececcaeddbdbebdebbcaebacbdcdbdcdcaaeaedbbeeeddacdaaabccaecbbdcceeddeaedcacadaaedbcaaecabbbebaeaadababaeeebbedcbdcccebadbbbbdbeadcbcbddaeaeeacccebabeeaacadcababacdbdebabdebbdaceabadaebbacebddbebcebeebabeeddddececeacecedeeacaeddbbedaabbcbadcebadedbaaeabaaabbccdaddcaddcbedebdcdcbbabeeddedccdbeaedaeeacadccdcebdecbddcdcdaedabacbaedbeebdaaeacddbebaebcaccabccbeaadbedadbaebebacdacccdebaebbcccebbeeaedeacdeaeddcacebeaabadbbeecbcedbacecddadadeaacccbcaabadbbddcadeadbdadcacabecccabcebddebdcbabecceecbebbedecaaddadcdddbceaaaedeeacbddaceebceaeddbaacccabacaeddecaecaabbaeceeacdbadeddaedabbcccbcdeccaacbeecceaeedadcaeddaecdedceccbdadddeadeeedbeeaeceeaaadbecebdbdedeebeceeceeecedaaadbecbeeeeddbcdeeabecdeaeaadaedaaadeecebeadeaddddeebbdaddbaaceedcecddbaecbaecbaddedbebcbeecaeaeabeccdddeeddcddcbbbcaddeeeadedbbbcaababebdebabdaacbccecabaccaeecabddbacbccbbccedacaeadddaacacbdbdabceadacbecdaddccedabcccdcbaedbdaecaaeecbabcdadecdcddccdecbebbbccecaaacbaaddeadeaddbbcdcddadbbccbcdeebcebeababccaabecbcdbaedeeaebdbddaabdaccebebccdeebaaecaecacbcdbccedbecbacdcdebdeceedbecccdaccbceecaecabacecdecbcbebeddcbebeacbcebeedeaceebeaebcaabdbadecdbdbdbdcdbdcdadbdaaddcdbbebdbcdbabbaecdeadacbbcbadeadbaeaecaacdabaaeddcaeebecbbcdbdaeedecbdeaaeabacdcacaaaadcecbaaceeebccceeeecedcebbbbdcdeaebbbdeadaaabadebdbaebceaaacaabcdbbababeddabdeedddecdbadbcbdbdbacceebebbccbabebeeccbcbcbeacaedcdebaabbeeeacaaaaecbebcdecaddbaddddadebdaeeaeeeedbcbbdeabbcbacacabacebecbabdaacccbedaeaabdabbbbedcceaadaaaebbacddcdcacbacbdbecdcabadabececdbdddbecbcdabbeaaaeacddddedcddabdeebdcbdbededaebbbdedddabccecaeeeadcceabaecbcebedbdcdaeedaaddadbdcdcedacacdacabbdadaeecabaddebeaecadbacaedbbeddbdcbcadebdbcddaaeebacdbeebedcaeccdaedebacebdadbecdccadadabededaccbcdbbebeedacecbeabeedbaabeebdaececcbbbdacbbbdedbddbeaeeadaaccccaecedbadaebedacdeaabcadedaabceadcadcadedacaceebcdcebbacbbecbddddedcedeedddceecbaceaaadbbabcdcabcbebbbdeaecbbeddeabeccedadaebababdcacbeaeddadbadabdedceaceaeadeadbebceadcdaeeacaebeeaaabcbebaaecdeceaaacaaabcdeeccebabddbaeceddcedcacbecdbceaeeeeabcbebbccaedbeacddbdeeebdccaebbdecaebdadbcccdbedcebecdecbeadeaecbaeadabdcadabdccacecaaaceaaebaabedeccabdddeceaabdbbddeecccccdccbacdbeecedadaecabddbeddbbbdccdbaedbcbeebcbdeadabbeecadddbaedeadaedbbcdcabeabaacbedbacebceedbbdbdabeaabaebbabbdbaccdcbdaaaeadebcbcccaacaccceacdaeebaceeceaaedccabcaeaaedbbacdeacecebbbdeadbcadedebbedcbbdcdabcbecdddadadcedccecbeebeedbadaccdcdecdceecedcaebdaedacecdbbbeeadddedcaeadccbbdbcaebbdaeeaaaaabdbcaedeeacaadbcddababceaebeaccaaadbcaeaabdcaedbabaebaddebdecabcebcdebeeceeeedabbdcaabddbdaaabccadabcbcdbdebbbaebdabdddddadeeadccdacccdbabdaedeeadcdbadbeabedaddbebbcaecabeeeeeabbebbaeadebdcdaebcdeabecedbdabdddeaaaeaacaabaeaaeebaeaaabddaeeeedaeabedbeaabeeebbacebdddcdecddccaedaecaeccebabbdbdeaebbededdcbaaeacaaeedebeddddceaaeedceacddccbabdadabceeedacbeecadbdcbcdaaebccbbbbabcddceebdeceaadceccddeebebacecbccdecdaecbabcaedcdaaceadbcaaccbbaecedddbecacbcbdbeeabbcceeedeaeedeeaadbcaededddcabdcbcebaeabdeedbdcdccbbbcabaeaadcdcdbecabaebbeaddaecdbcdcacaabecdbeeebaadebbadcaadbddcadaebaabbadaabacabcecbcceceaacabacbbbaddabdbdbdeacacedeeabbcbeaeaeaacdeadeebbadacbbabebededcdbddbbbddbcbdaddcddcabecddccbedebaeabcbbbeccaceccececbbdcaabbcebcccebdbedebaecedacecdaedbeceedbadddecacdadecdbeacbddebbeeaceadceddeecedbedecddeeeceeeaccacbeabaadccaaeddeddceccdeaacdbcccdabcaeccdccbeababeaaeccbaeeadbcaeaeedadaadbcebcbdccaaeaacbceacabaebccdbeedbbaecaadbdbceeecbdcddbdcaabcedddccedbcacdadbebbeeeecdacdbbadebdbedadebadecbeaddbdedaceaceecbabbcebeeceadcebeaadebcdadceeaecbacedcacadabedbdddcebcbaaaeacecbcadbeacbecabbdcdcbcdacbeacdcceeeacedbebbbdbaadabbaedcccbebeaceecbbeebbabbadbdcdaccdebbecbbaeccebdeeebcebbccacddacedeebbeacbecdaeeecaeaaeabbcecbecbdadabccecabdecbccadaeeabecddedddccceceacdbceceedebcdaaaeaaebacdebebbccebbabebaeaeccbbcdaccccaeacccaadabbcacabebbcdacbaacbbbdecaedecededcbebabaddeddcdaccdbedbdcaaeebaaaeaebcadaabceadbacdbdbddceddaedaadbadaedabcdbcceeedacadcaebcedebaebedaecaaccdcdaabdbddaedecedaddedbdecbadbcecdaebbcebdaaccdcbecacaaeddddcebcebdececbeebccaaadddeadebdddbbdacbcbaedcebecbdedcebedaeabdaccadccadbccbeabadcedddacaecaabdecccdcbcceccdbbbeeecebccbbdeebcdcacadbdceccbcdedddbbbeaaecdedabdedebcddbcaccdbbcaeecdbadcebebbcababbcaadecdcceeddcaabadeeaedbeabebadeaadbdebccaedcecebbacdbeaedacedbdecbcababdccaecdcadcdecbceaebccebabebeedcbecccddcbebaabaeebbdabababaaeceabadedeecdabbeceecaeceddaeeaddabcecaceebbdbebcdbcccbaadcbacbdeebdaeadebccceebbbeeeacbdbaeabcdaaaaadcccddbccdecdeccdadbdabdcdcaabbdcbabcabadededeeeddcdbcbcabaceadebddaccededadddbdecebdaddaeedcbecebccecdddbaeadadbbdeedacebeaeeecabacdbdceddcacabecebbcdbbddababcadedbdcddeebacbecccbbeedccdecbbcaccecabaaacabcabedeacbabbccdebdcbcbdbeaceceebeabadabcacbaadbcdeddeabeeaaeacdcddbadacdaedceccdeacdcaaeccc
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aebaccecabeaecebcbbdaecbebaddcecabdbebabbdaccadbdceacacbcbbbbaadadbcdebccaddaecadeecadceaebbccccccedcebaeabbedaedeecccddebdabdeedccbaaeecebacceebedbaabbaaecdcbdeddbeaeadaccaceedaacbeedbeecedebccaaebddceceaaaadcbbaeceebbddbbaacbebdddaeaeebdcbdebecccdceaaecdaaabceeecacdbbcdeebadabaedceadeedddcdbdcbdebeeeaaebbedeceabdceebdddaabcaeebaeebaaccaabaeceeccccdbddeaeacabcecbddbadaddabdddcdcddeaddcbceaeedcabecddcbbbdabdceccdeceabdcebaceaaacdbdeecadabbdabdbadeadbddaaadaccacbdeacaccbccbaeebbbceadceceadbcdaccecebadacbdbeebeacecedcdccbabeaeaccaacdaebcddcdcdccabdcecdacccccbabaaedabeccbdaddbbbaabccbcbcbcdaceadeecaebbceaaadcbeceaecceccecbeeaeeecbeaedbaceaeadceecbdcbadebcebdbaeceeeeddbcbdeabdadbadbdbabdceebedcaadbcddbbbbbdbabdabdedbcadcbdcadcbeaddcadbbcaacbdbcdedebadaebdcaaaabbeeeebbecdceaebabbceaabcedadaadbabcaeeecdaeabebdbdaadbaddaadbecadcacdadcacecedebebcceeddeeabeabdaadacebbddbbabaceddabaeacbbcbcdbcbbdadeeaaebeebedcdeebdcbceccddbacdbccbcdcbbecebdbbeaebceebbdedaaebeedcaeebdcbdbbabbccacbeacedbcabacbedecedaeaecaebeecddecacdedcbdeacceabbabedbabdabaccdbedadeebabbcabeeedaaacebbbdcaeeccdcebbebaaeabbcaabbebaecceaedaededabbcccceecdeddabdcabeeeaedbbaeacceccccbaeedbdcadbcdecdbabeaebabbcdcebaadceddaaddecdecceebaabbdeedeaabbcdaabedabdbbededbecabccaeeabedcbeacacddebbdecdbdbdebbebecddddecdabeaccbbdaaeceaeaceeacaeaabecaccebbceddccbdeadeedaebbcbddeadaaabbcceebcddadcacdddebbeddbbcaddbeaccabcbebceaebccebaedbdebabcacbdeacdadeeddaedacbacabdebaeadecccabecdcaacdbcdeabdbccdbbdecbedcbecccacebdccaaacbadbcdedeebdbeabdbaaebdddcccedebedceabccaccceaebcccddbbcdddebdaeaebdbbebdedbdeccbddceabaebdccabeccbceddadbaedbccbaaecccaaaccedeaceccacecccbbcadacebdbaebdbcaacaeccedcccadebbebbebcdeeeaaeaddecdcbaaebddeeeebbbedccddecbbebdcebebbaadeeaaabbdcaeacedceaebbadadebbbdeccadebadaabbcedceebcbeeadcbcddbbdcbeaeeedcbaececadaacdabddccabeeceedbebeaaabceedebdcdaebdeeddcedccebdbddbacbabebddbddeabebdcbcacdeeeaaaaecceabdbcdacbacbdbddacdedcbcccecdcddadbaadcdeebbaebddbbabadbadbeedbceccbecaacccbeabdebddcacbaaccceadddbbabbbcbdbdbaccdddccceecbebcaedeeebaecbdddbdeaaeaabdccdcddacebbeeabdbddbcbbdcbcaceedbbdcbacbbeeedcaebaaaaccdadeaeaebcceeccaabeebddadbccbbdacddaddabbaeebddddcceeedabbeebaddebcddddebdecacabddecbddcbddeecaccbdeedaeedabacecbcbdcccebcacccdadacbabccaeaaacbccedbdbceedcbcabbbeddedcacedebccadaecaddbddacdeadccabcaaecccebbbecbdbaeebeeabdacbdacedcaebebebaaaabebebdbaadedaddcccecdebbebeccacdbadacabcacaacadeeeebedeeabbdddccbacdceceddbbbbcdabbcbbedddaccacacbecbaabcbddcdbcdbacaecebdbdaeaccbccbdebabdbbbddbceebeaabebadacdaecceceebabbadeecbeadecaaabbcbdeeaccecbceaedeeeeddebbeccaeaeccbdabdecabeeaaecdecaeedcbababdecddcacaddcedecbbaacdbeebebcccdceeddcbaeaccdcdcadbcbcdcdbacebcbcdbcbedecdbcedddbdbeeceebdaedcdedcadbabcdadceeadebebdeeedbaaadeccbababcdcddabbdaeabbdbcccebaaaaedaeaccecbadddcaeaabcaaedadccbcddecadbdbcdccebabaacdcaaeadcbaecdbedbbceebcaeadabbdacaeebdcdbbbeccdbbeeedbdcdbbbebeebaeaedbabbdebbaedebbbaeeeeebacaccaeecaeedbcceeedcccebebddbdccbcebdbaaabcaeaaaecddcdcddcdecbdbcbbcaddbaceeeebadabdecaaabedcddcbdbcdaedbacadcbdeceaccbbbcbdadbdeaadbcebebbbccbceaddeeceddcabaebcebdbbaeacdedeaaabbbebaccebcecedceddeadacdbcdddabbbedcbdcbedbccbdaaeecaadeedcdaadbbdbacddebdabbeecadaebadedceebabdcbedddeddcedccdccebbaedeeddaadcedaaeccdeaaeeabcedbaecbcdbdbbeabceedabddadabccdabcdaadeadeddceebaebaecaecaaacecceddbacaceacdbdaccbcacdcacdbababdebedacccadaeeaddeddbadcdebcebbabcdabbcebcbbcebacbabdcaadcbeeecacaeccceccedaeadbbceaebdcccbedcdcdcaaebadbbdbaeaaaaeadccdbeaccedcbdecdeabbecaacaeaecdcadbabeaeaccbdedbeeaadbcbeacccddbccbacbdbdccdecaeaccdacdadcbeabebccadaceacbdbabadacdaecabcbccbbecabaaeeedeecaeccdcdaabdeabbcbacbaeddadcbacecedeccbbbaeaabadccedcbbddeacecdbcacdedebaaaddeedddbdaccdaebbbacacdbabededdabaacabbbbdedabcccddaabdeecebcbbeacebeaecddcaeedbeacebcdbabcdeaccdeaecaadacccddeaeecaeaaddbdbbeeeacceedeabcdeedddbaaaaaceeeebbebaeedbddbcadceeceebdddaebecbdceaaceedbcbdcbecdcaebcdebdecccbeaddedaaecdbecbabeaaccabeedbaebdabbaaaddaecdcaacceecdddcededcdcbadbbdeecdcedadebacceccaeccacdcdbbccccdaaebcbdeddaedbabacbeaddddbebdacaaebeaaeeecedceeeacbbaebedcbaddceddcccedeeadcceddaaaeebdaaecacaeaadcdaeaecabcdedaddbebecbddaedbbbededccbaebcdeaacdbdccebaacbdbeaeeedadcbeebaabaedbadbbdaceaabcbbcebdeceaaaaadeebaccbaadedeeeeecdebadeddeadedccccabeabbbebacecbccbabcebbccadbbbeaeceeabddbcbaeabdcddcddceadadbdeecbeabbabdecdbaeabcddbeedbcecbbdabdaeeccbecdedaeaceeaecdeddbbbbbeedbabbaeddbcaaccbaedcacaebebdabdaebcdceeabeddceccacbceddbbcaaadcbcadbdbcabeaebcadbbaedcddaeedcacadebbacccccbbadbbdbbbebbbdbdcdecadcdbcaeeeeaeaceadadeadebdeeccdadcbdcdadabaccedeacededdaceacceaecadcbbdecabebadadeecbbeaacddcdbebaceabcdbddacebaaeeeecaeddebeeccaebcdeedcedeaaecdadbbcabcecebbacadeadbcddcaedaecaeaddebaedbdccbaeadcaaaeddacaebadebedecddaaceddcdadbabaacadebaaabbeeccdcadadccddbadabeddcbcebbaddbccbdbeecdeabdddebaaabacabaaaaddddddcdbeabeadceceaddbbcdebdddcbdaeedecacaecbdcaabcbaebbcabcbbcdaaeaabacabdbeadebadcaeccaceeaecebeacebedbaecaadccccadbdcddeedcbececabbebdddbcecceeeedebcdcabdeedbeeacbdcccecaeccdbcbddcddbecbcdecccbcececdbaebdeedecdbeabcaddddcecccaeeadceeeadcdbbceeeecedeb
aaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaabaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaabaaaaaaaabaaaababb
aebcbeeddcdbdacdcdeaaeeaceaeacbbddaaadbaadbccccbddbbdbcabcdaccaddccaeebcbeadcaeceeecaababdaecadaabcbcceedeaabeebbbddcdeeddcdbdeeecedaaedabeaabcdedcaadddaacaededaccdbecdcebeaacbadbdeecacaeadbaecebbbecaaadeebeaaccddbbbbebaaabbbbbdcbedebcbcbdcbcdccadbdcceaadcdcecdddceacacdbadbedeaedeccaaccccadcdacbceccbddaabeeeeeeadabbeabccedbdbebbdcbacacaececbeaebeeaaddebeaabcaabbaabcbedddbbbecceebadacdbbabcccddedaedeaabaaeddbabeceddedcbceeaedabacceedeaabbccbeebeccdcaebcbabcbbaebbcaeabdaaecccebbcceedebdeacacbeaedecdabadcbcdbedbceaaccecccbaabbedddccbedddceddebaaeabaedddaeebbedcbebbdadcdcacbdeeabdaabadeebaaaabeaddddeddbecbacedaadcecddccdcdaaeeadbedcccdeaaaeebedcbddedddbacddeabadcbdaabeabebeaebedeaadbcdeadbbdaeaccaccebdccedebbbdcdcecacdbcebabadaccdecaeabcbbdeabcecbeacecbeabdbcedbbbdcdddbabaeacabadeccdbbdbcbebbcbddbbacededaccebddbbdecaabaacceaeaeabbbdddeecaeeabebeabbdcadadaaeceecbadceeadcbdbacdeadbeadbaeddccdbcccebbdccecadcadeeccddbdaaecededdbcdeddaccdaaebaeadaabacabcbebedcddcbbeacdeecadeddcdacaeadadcaacbabdddcceeadbbbebddaccddababdcdaebabeebbdabbeddcdeabeecbecedbdacbcabddeaaadcdaadecdaadebcacacabddaaacbbbbaacedbddecccbcacdcabcdbeebdcbdacedbaccaccadbebabcddceacabacccaeacdbdcacdaccacccabcabeebbeedcaadccdeecdaccbbedddaeaeabceedcaeaecadeaadabcaccdbbcabbdabcdccebabdaedaeeceeadceeededecccddbdececdddbaebcecebacdacdeaaaaadaebeecaeadaaaedbecbdbdddcabaecaaddaabdadccababbaaeebadeaeeededbacdcdcbcebebbcceaddaebdaaecabacbeaccccedeecabbeddeeeaacedededbabacaeecbbabcdcbceadbddabadeddcdbebbecccabcdbeebedeccebaacbeadbaedeaebcabcdcedccacdebedaccbcdeacacebbdcdcedbbaddbdecdebdddeaaeebcbbdacebaaccebdbebbbedadcbdeaaedaadeccbbbbdceeeebdeacddeddaedbdadbaabeeebeeeddaeebdbbecdeccbdcdddaeeaadbededaaebdbdbeaadeeebeeecaddcecadcacdacbeeddacacabeddabeaebebebabccaeacddeccaebabbcabdbdebaaebacacedabedaddecdbaebbabbbebdbadbcccdceaddabbebceeaadaaedaacadbddabbabeeccbceebecaaccddaddeacaaeadbaeebdeceebbaedbccddedcedcbdaaaadadbdcdecaecdbabdebabeccaeeababbaaabcedbdaecaaaccacbbeceddcabbacaebcdabbdcaceeeccddddaaccbccbeecccbcdbbbaebcecbbcccabaceaadbabadccbdadadcadcdecaeccdeeadddbadbaddadccdeededbdbbedaeedcabceccddccbadaebcdcbbecbebbaebacbddcddccbedcdbedcacdaeeaabbceadacddccceaccbdcdebaeedcebacebecdadabceaeccabeccbaddbecbebbeecaeabdbbabeddbdaaccbdadabbeadceeecdececbebbbcadecebbbddcdbebdbaaaebeaacabcdecebbbededacdadcaacbebceeeaeeccaaaddedcdcaadaadebbedbeebcbeceeccbedacdbacabbddceaecdebadbbbbabcbbaecdcdbcecabcceebebbbbdebececbedadaabbacabaaeeaddccedcdaaccbbedbabbaaeebdcabddbdaacbcacdadddccaaedbebdaceaaaaaadecadcebbeecbbecbadcaeaccbcedacbbecaedccacbdcdbecabdddeabcebdeeacbcbedbaebbcbaaacdbbdeacbadaededaedaccbcdcaedbecbbdcdacaeccceadaadaadccdbabccceeecdebbbcaaadeceaacabdaebacbecaeedeebcaaedbebcecddeaaebedbeeedcdcebcbedcbbabedbebbbecdadcaeabbebedbaaccecaeacedcdbdaecabedbaaaeeadbbcbbbeeeddaebdbabecdcebdebabebbceedbdebbaeadacddbcebabdcbbccdccaadedecbcacbaabdcbcedceacbbaaaebebedcdadabbbcaacbacedaaaecdbdcdbadeaebebeadebbadbddabccadbdcdeabcaedacedaeccaaabecadebcceddceabedbbdccbecdbcaadddebdadecdadaec
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaazaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaa
