bcaaaddcdaaacecdaccacdbcdadcdadadddaedaaacedbdcabcdbdaeccdbccccbaabdcbacdbcdabcdabddeccdaaddaabccdabeccdcccaccbcacddaadeaabbadbdcbcbbbbccaddacabacdcacbaacaaccddaacaaabacbcbddddaddcedbbaaaccdadacdeacbdaaacaccdccdebaccbaaaecccaccbccccdeaadbdddeabdbadcacaabbddcdaddecedddaacaadeccdbabbbbcadbaaaddaabbdecacccaaaccabdcacabdbcabbddadabcacacbcabacddaccdccaaeadcaacbadcbdcadbcbebdacdabcbdbabccaacccccaaeaaadadccccbbabccadaccbcbcdaecbbccacdbddacbaababacddcdabddcbccdaaacadbaaabbacdcacdbbbedcbbacaadcdbdccbbddbdaaccadccbccaccdcccaddddcdcabdabcbdccaabbadeccbbadddcaaddbacacbcdbccadbbaacbcdeeaccaecbcddabaacbeccbdabbbecbadacbaaccdcaacaacaaebadaeaabdadbadaacaccbdccdacdabdcbdcaccbacadabbccaaebaccdcabccaacdcbaaacdcabeaccccaaababacbacaabacccbbecdacaaddcabcadccddddddcaddcacbcacdbacbdaccadaacaadccacbaebcabcbadaddaadbacbacccacadabddaccaccbabcecaaaabccdcacbaccbabccacdaecaacaacbacccdbbbcaaaddadcdcbadacaaedcadcbddcbadacbdcaccdbacabacaaabccadccdcaacccdcadddccddacccdabbcabbacdaaeaadababcdcddcababcceadedbdceeadccedaadcbcdbaabcdddccabaacbadacacdadbabccecdbcaddacadadcaadabcdebbcbbacbcdeccccaadbaccddccddddccceadbcbbbdcecaddaabccaddacdbcccccccaecdddbbcddedebaabeaadbbcdacbaccaaaacadaaccccdddaecdeaddcacbacacaaaaaaadbcacbdabdaccabddcccccdacaccccedcceddacabadcaddddacdcccadbdbbadcccbcabcaaccbbcdbacdedaaaccccadacbcddcecbdcadaacabaaaeabaaabddbbddcbecbcdcdededddaaccabccecbacbbbaadbcbaacdcdcacccccdcbacecddbacabddceaaadcdbbacdddddecaecadacdaacecdacddcecacdccbcdccdaaccccbccccdddddbdbcdccbcddbbbcdaccadccdabecaacdaceaaacbcccbbaadaabacdcaaceaadcdbaccbcbbcabbeeaaccccacaabbebccaabacbadacedabaadacbabdeddbedbadccaccbacdacacabbacaccbdaadabebedbbaebccbbadaaacacaadacccbabcdbaadaacdacabcaccecabcadacceddaaaecdccdcacaaebcdaccacababbbeaabacdbdcccdcddeacdbacaaacdbcccaacbabddabeaaaccdaadacaccdbdddcadcccaaddaaddaccedcadcdbecccdccbaddccbcaacaaadbaadaaaabacadcbaaadaadddcbdcdcbdaabdadcdadbccecccccdbbcedacaeadcacaeddcdcaacbeddcccbaaeabcbaccaaaedaaaaddccbdaddccccddcbcbaadccacaecacacccaadcabdaadadaabdcaaebceaaacaccdcdadaabacacceccbbaccdcccdadaaceaaacaeadcaeaabdcccacddaacacbcacddaabaccccbdababdaeaabdadaadcbacccdacaccabadcdbbaacdacdaadaccbdaadeaccbccaaadacaadcaccdacacdcbcdaddcbcdccabaaaacddbdaaddcaedaabeaacadcadddcacaccbabdcedacddcacbcdbaccaacccdccaecabeabbaccccdcacaacaaeaabcdbaadbbaaacaaaabaaddccacbbdbabdecbcccacdcbacbdbdbbcdccacdccccaddededbccaccacccdcaaeacacadeacccccdadaddabacbacabcdaeaadbbceadadddaaaaddaabcaddacdadadcacbdceccccdabccacebcaccbdbdccbdbadabdddaaaaacacbdabccaccacdcbdcaccadbccaccccbdaedaecaaabdcbcdccecabbbbadcacababbdddcacddbaddacadcdaaddccacbadcadddebcacdbccadbacdaaacdaabbcaeecaeddabdcadbddeacaababdcbbabaacbdeddaaadabdddadbcdaabbaaaddeddaccdddacaabcaaabaccacdbcdbaaacdcacddadaccadbcabacbdcdaecebaccbcbabaeddccaaabbecaabbaaaccdcbcadabacbdcdadbdaacbaccabcdcccccacdcdbaacdaadbdaaaebcccbcaaccdacbdaaabbcdeabadcabaacccabadccdbcaaddcacbaaaeaabcccdbadddadcdbcacacadebcccbcecdedaccbccbabadbdaccabaaaacaebaaeaabcdbccbddcccabcaabacaccedbabccbccdaddebbcababacdcdaadcdadccaacecdccdcdccdacabaaacbcccbcceaaaccbbadcddddccbccaaaadbbccdaadaddbcddcaabdaacdcdcbcaadedacabcdaabddcdccaadacaaaaadacaccdcccccacdaaadcdbadddcabcccddddcacdcdcabacdacaaaaacedcccdccbccdcbccbbccacdddbccdcecceaaddaadcbaaccdaaccdddbadcccddaaaaabccaacaecccaadaaacadcbcdbdcaacdaebcdbccadbdaddabacdacadacddcdcadcccddcdccccabdccacccadcdaacbbcabbaacdacdbaaacabaeeaaddbbaabccadcaacaacaaabecadddcdcdcccadddacbacacdcbedbaddaceaedabcaabeddcbacadcaeccaaacaddadaabccdaddbaadddeaeadcdcaccccddbcadabcdacaadcbaacbacbbcaaccdabccbabaceabbbdcaabacddcaaabbacbdaaaaacdaacadacbdceddeccccaabcaccadcacbccaedcbcacccddddaaccdddcadaeacbeecdcbaccecbaccceeabaaebdabdbddaaadaaddbbbaacadcacdcbccadcaddcdcdcaccacbbcadaadccaabccadbabbdadaddabcaaaaccabbcabadcacddabdacadbddadcccacdaabbdbccadcccccaaabcddcdbbacccbeaadcdacbaadabaccdbaaddbdabdbaddcaccdabdecacaacadcbabebdbcaacaaaaceddddcbbcbbcacacaaccccbaaaabedcdadbadcebcacbddbacacedaacaaaaacbbaccbdababaddcaccabebbadaaccbccecacdbbbabccaccddcaaadbdbbaacdcdaebbabcdecbdcdbebaccacaacbabccdaacaadebacabcbcaccddcbbaadaadacbcbddccaaecccdccdcdbcdaccbaaacabaaadabddcabcdcadacdddaadabdcccaaadccacadadcccadaabebcbccddadbbacccacccdacbaedcdaddacbbcdcbddbacaddcbcdcdeaccbccecabbabbaaccaddcccaebbcabbdcdaacacacdacecaddcceaecbaadccccbcdaabdddccaccaaabcccbaaddeadabcaadbaddaddadacbdbabdaaeaddacabccaeccabdbddbdaaddeaaccbcebdaaaabccdadaacccdaaaccadaabcccaadcccbacadcabcecccdadbadbaabedaccacdecbacddacdadaaeeedaaccccaddbacacaaaccdcecacaaaaadadcaccabadadbeaabbccdcaacaccaaaabecacdbcddcbabadcbedbbccaabdaddbcbaadadcdaccadaccddccadabbdbcdabbbaacdddccbdeadcbadbbcadabcbacaeacadaaddadacdaaacbadaccadadacaecaadcedaddcaaadbbadccacccbbdbcaadddcdccdcbcdabeaaccedcbcddcbbcceacdbadacdaabccadabcbcecaacccabcadaccbbacdbdcaccccacdddacaedeaaacceaccacaccdecacceabccdcbbcadacadaddcaacdabaacacbeabcccdaddbaedbeedaccccebacebcadaadbdadbdcacadacbbccdaccbcccbacaaaddababacdaabcabccccecdddcddeaadeddabdadbcbbaacccccacaccbddbaccaaabaaddadaaabecbbaacbeaccdbcaeacacccbaaadacabacaacaaccaadaadeccddcaddcdcbcddcadcccbbcdbbdbcdcbaeebadcacaaaacdebbcddddabacaabadddaecdbcddacecdcccbbeaabacbecdccaaacbcbcacdbebbaaacbacdcacccaaacacaadbadaacbbdacbadabaaccdabcaddaccacababececcaddacdaeccaaababcaaedbcbdaaaadaeddacedbdceebccaedcbdcdcdcaeaccccaadccabbadbaaaccbcdebcdccaacccacabeaaaacbdcbacacccaadcdaaaeeccdcdabccaacbcdaddcddaacdbaabbbccdddaecaacdbdcdabdcadadabcbbdcaccccbaaddcbaaaccaccaacbbdddeacdabddcaacdaaabcacccacdacbebddacacdcbcadadababacccacccecdcdccdbacedecceabaadcabddacdadbaaddadccbddabacddbeccbcaeaeacaedccdcbddcaacddecdcdcaccacacaacaccabebcacbadacdabaeccaabaaccbbccccaadbcdaababbccbbcdcccdccbccacadcabbcdcccaaccccaddccdcdcbcdabcacacbdcacaabdabcbdccddcedaaaaacdacdcbcacccbcccbddaabdacbdddbcdbcaaccadbcbcaccbcccccaeadcddbccceacddaaabaaaaccacdecaacdbaaccbbcdddbdbaaadccadcaacabcebcdddddcaccbceacdcabbaaccbaaddaaeaaddeccdddcdbccaccbaaccbbecccdbdcbddcacddaccacadcbbacaebacdbcdadcaacaadabaaadbbedceaabcdcaacadabcbabeaaaaadbcacdadbcddbdbeccabdcecddedbabcbcdcbbbacccabcaccddbcccadcacaccaaccacacbaccabcabdcabbcbabcccacbecdaeaaabadaacbaaaecbdecddbcbcbdcccedaacacccccabaacabbedbcaadaaaaddcdbabaddacaaccdeacebcacadccadaceabadcdabaacdadccdacddbdabbccaabbaddccebdccacaacbadbaadcdaddcdcccedacbcdacbadbdddcccaacacaaabacccbdceacacceacccdeddddbaddbdadbdcdcacbcbbbabaaaabbddbdabebccdbccaacbacdddacdacdbabcbcbcacabccaaaadadaacdaccaddccdbcadbbcdacbaddacbeaaccdbcdcaaeacbbabaddcbaddabcbaacaacdbabbcbcceabcdcdadadabcccddbcacedaaaccbcaebaabbaedcaaccababdadccacdcccdbbbabcbccbccaacdaaddcdabacccccdecdcdcacaabdcccddceadcbaadbbcbacaacacaacaeabdadcadaacacddcaadadacadeadddcbadadcddbcccbabdcaaccbcbdcadcdadddaaadcbcbdbcbcacedcbcccbdadaadcaaabaccbaddabaccbccccbababcddbcdcabaaacabbeaacaedaacdbbadcddcacddadddaacccbccaccaaddccbdaaacacacdeaacccccadbddcaacabcacdaacccdbaaacaccbaccccbdbaaaececcaaadcaeccadcaeaacaeaccbadaabdadaeadcaabcdcdcadacdccdccbaabdacccadababcaacaccaadabbaacaabdbdcbddbdaadacaaccaadcacecbadccacaaabdabbbaabdaaeaaaaacccabadabacbaaacabbbdbcaddacccabccaaaddaabcccdabadcdaebcdcbdaddbccccdaaccccddaaabdaccaacdcdacacbbcaadbadaddccdaaacbbcdabdbdeabbdbadcbccbaaceacdcdacbabdaadacaccccddccaadcaebbcccabcdddaecdcdaabbaeddbcbdccacddccabccaccaccbdaccbddbdccaacdabdccadaaaedbbdbabadaaaaabcbacabaddbcabdadcccabaacabddddcbaabbcccacddcdcddcaaadcacbdaeaabdddddccadcdaadaaacaaccaaceadcdcccdcdceaeadcbadcdcaeaadadcccadaccdbaccbcbdccaaabacbaababdccaaaacdaddabbbcadcbacbccadcbbbbbbddbcccbaacdccdbcddcebacaaadccaaeabccdbadcaaddabacaabcdbabadcdcbaabccbadaaabaccacddabddccbebddacaaddcaadddaccbaebcdbaccbacdbbcdcabcbccabacaaaccccebdbaccacabccdaccbaddaccadaaaabcbdddbbccdddcabddcbacaaacaaabcdabbdcadddedcdeadedeacdcaddcaacadcaaabccceadcdacdeadcabcbaadccdaecadbdaddadaadceccaadcecdcbcdcababbaaacabdcebcccaaacdbcadaacacdccceabedabaddbedcddacacbdedcbacdcdeccaabdcdabccaecaabbdcdcbcdccaddaaaaceaaaaaddabccdbabcabceccaabdbcabdaacdcadddddcbabdddabcaddedaacbccdcaaaaccdbbdadbeddcbabccacdecdcaabaaadcdadcdbbcdbcccdcaadbbccaaccacdaddbacdbaadbcaacdbcddaaaaccaabcaacdadcdacaddedadadbbccdeabcaeaeccadaecdaacacaaaaddacabdaaaaaaaacecbcabbccccabacbdccbacdcddaaccaabacbcdcccacbbcdaacbacadaacceacbccaddabaadbcdcbabcdaabcaccccacaaaddaccbcccccadabbcecaaacddbcbacaadaccacbdacddeadacdeccccabdccdcdbcccaaeeaccbdaabcaccdcedcccadaccaedbcbccaacebaacddddaadaddceaaddbdacbccaccaccbcccccadcdbadecacccacacbaccabcbcbedeaaacdaaaabeccbaaacccccdacabeadcdbedaaccccaaecddcbcaccdacaecdaabccdaccabcbaaacaabbdcacddaaccbcbdaebccacacaaceadadeacaadbbdcadcccdacbbbdcbadacdddcaccdaacdcaccccaccdcacecaecacdacadbccdadbdcadacccccedcadaaaaddccbdbbaadcadadaccdccdbacacabbbdcbbccaacceadbedcbaacbdbcdadcbcebadcdadbdcaadaccaacccaadacdccaabcbabccdeeaaaadeebbddaddcddbaadaacccccaaecaaccdacccdddbaacdcabdcaaebbdbabbbccddcdbaaccdcacddcdeaaaacbccccdaaaaaaacaabaccaaaaebaaadddabcadcdddaacdaaddaadcccaabadcedeaaaddcaeecdacdacdddacccaeabdbceccccadadbcaadcbcbeadaecacddaadbccaccccccdbacabedaacdbcacdcdcdaadcaacccbbcdaacdcdabdabccaabddbacaaabebcccabbcacbcacbccaaabcbbbcbcaaaabcdcacddacdbdccacacccdbcbcdcdedbccbabcaacaeabcdabaaddadaaaaacccbeabdcdabddaaaadabdabcedacecddbbdcdacaccdbacaaaacaaccbdbecaaadcabbcabadadaaaceccdedcddedccadedbccdadcacecccdeaadaadccedcaacaeabdccacabcacbcbaadeddeccdacaddbdcaadcaccecdacddcdaabccaecabccacdcccdcbdaecbacaaddcaacdcacabecaadbbddadbccacccadbddaabaacbadaccdaadcbcbbddcabddcadddcabbabcadacccacabacaddcdacacdadccacdbcbbccbdbcdcacaeabaaacdabaaccbabbcaaacbacadaaabdacbcdeccbcaadadaadbbcbcaaaadcdcacacacadcbbbabaaaddecaaecaadeaadcccdaccacdceaadbcaccccbdacbaccdccbcccdddcccaddcaacbcadaadbcacdacacaddadaaacadcbcdaddacdbacbccaadacbdbbdabacaccbaaacabdcdccccdeababdbccbaacbdcdbbaacaccaccadaccdcacadaaadacbedccadaadaaeedadcdcccbbbcbccccdcdcbcaadccaccdabdaeabcdbabbaacacdaacabbbdcbcaccaaaabdccdadbccaadaaaacbdaaaedccdccccdcbcddaabccbcbccaddaddccaadbccaadcabcbcdcdbaabdecaeaccddbcbbaaaccaeaccabdeccacadaacddccaadbaaacaccaccdaddabbbacccbdeabcbacabccdaaaaddaecbecaaabdaadbaaaaaacccadadeacceccecccaaeadaaaabaabadecaacccdacacbedaacaadcccaacabddddaccdaacbccdcaaacacbddecaeabadaccceddacdacddeacbabdccaacdacbccbdcaaaaadceacdecdaabcdacaaabcaadcacdbcacdadddceaabacccbdbdadbaddbbdabdaaadabadbabbceaaaabaaaaadacccacabcdaadbccaddacaccbacaaebbccccacdeaaacdeccadcccacddccbaaeada