aaabaaaafaaaebaabeadaabfffdcaaabggdcfeaacdeffddaadcfefaaddcfcdaaddedeeaaeaaebefggeeaaeccfcgaaeceaebaafaafadcbaafcdbafaafceeaefeaafebbcbbbaaffbeaaafgaaagabaacbaeabadaabagbggdgcabaggaabbabbdabgeabcabcdbabcfabcfgfabdfabdfdafabeaabefdgabfbbffabgbgbfeabgegeeeafacacaefeeaacafgffeaacbegacbffcdcbeacbgffacbgffegaccaccadagaccbbbaccdgcggacdaagddfacdbdacdffbeaceacecgacedbaecacefacefddagacfcaacfcbgcacfgbfeegaacgacgafacgcaabddcacgcccgacgecacgedacgfgccfadadacfbadbeeffeadadcecdfadcfecbggadcggdbgffaddaddceaddeafbcadeadfeadgbaaaadgdabeaeaebcbaebdefgdfcaecaeccaedbfedaeddfeegeaaeeaeeaccgacaeeccedcdaeecgaefbagfaefffgcfaegeafaadagafbadgdafbeddcafbfafbgdeeafdacafdbbgdafdbfdbaafddcbabaffccdegbcaffceaffgbcaafgafgdcaafggdafeafggdeagafadbagbagbbagbbabdcagbgadcfbaagcaagcafagccebfagcfdaeccagdfbaffagdgbddcafageagebgggageccageeaagfafbagffdfaccagggdafbaacbaaeabgfcbaafeefbabdbacbaccbcaebaccgdfbfbacdbcaeabacdcfbadaadbadcbgbaddabaeabaebafbfcebbafbgcedgbafebaffcddcgfbagbbggabageafgbagfafffaabbabbabfebfcfbbacafbbaddcgabbaedafacgbbaeebbafbeabbbdbbcabbcbbegcbbfafabcegbbffdcccbbfgadbbfgcefbbgaeefdffbbgcfadgbcadbcbbcadgaggbcaegafbcaffcbcbaddbcbcbcbcbffcffdabccbccdgcbgbccfbccgbcdbbcdbdabeebcdfaedbcebfdfabcedebcfbceedccgdbcfbcfcbeecbcbcfdebgebcffagbcfgedbcgbfagbcggdaecfbdadcfbdafcbdafgdgefgbdbaebdbdcebdcfabdcgebdcggfdbddaaefeccbddbddcaecbcbdddbdffbdgabeaabeacacbbecbecdbdbecdefccbecdfbcgbedbedgdfabeebbbeebfcbbbbeecbdadbabeedbefdcbefdfbefgbegbegbdbegbeaaegcbegddabegebegfbfaabbfacdfgcfdbfacfdfdabfadcbfafeebfbaedcabfbfbdgbfbfbfcabfcbfdcfcgebfebfecddcaebfecgafbfegdaebffbffbgbffdbgfbbbffffecgcfbffgefceebgabcddbgacbgbgcdegegbfbgcfgdbgdbgdbgabgdcfddebgebgecefgbgefgaebggbggeegcaaeaacaafddegfcabdbgdgcabggbggcacabcacaecacadaegfceecadaggedbcadcaddfcdgeacadegcaeacdcgfcaebgbcaedeggagacaedfecafdeefcecafgebcedcagcbabbcbacaccccbaddegcbcaffgcbcbcceeeaecbcddcbcegfcbcffaegcbdbcbeagfdcagcbecbeeceadfcbfcdgaacbfdcbffdfecbgcbgfaadccbgfebbbccababccacccadfgeccafdccagccbbabeccbdbccbfcggecccdefdccebcefcceccefgccegfgccfaccfadcdcbaccfadeaccfccffaeccgcacccfccgccgddgfbgdcdagggcdbccdbdcggdcdbfddabgcdcdcccebecddbfcddcdddefdfcddebcbedcdeacgcdefbdaagcdfbdedacdfcfcdgaecdgfbfcdgfedbgaceabbbeabceaeadceafcebdaeagbcecbfceceefcceefcgfacefacccefbacddfcefbaecefbdgdcecefggggbfbcegcegdcegecbcacegedfcegfddaecfabaeecgcfabcfacbcfacgacfadgccfaeaecfbegcfbfcfbgbggdgcfcagcddcfcfcddaecfcfdgbgdcfcfgcfcgeabcfcgfgdcecfdcfdfefedccfeaadddgfcfeegfcffcfffcffgfcfgeeecacgaaacgaacgacgaecgbcffcgbdcdeccgbeadccgccgcedgcgdecbfgbbcgdgefdcgeadcgeccgeecggcggfggbbcgggabfgdaadbcbfbbdaafgdfedabbfdegecdabebdacefbcadedadceefddadadebdedaffcfaebfdaffgcdbabdbadcabcadbafecdbafeggdbagebdgcdbbdbdbbffbdbbffeagggdbcbdbdgfdbcbdbceeadbdadcfddbdbdbbbbfdbdcdbdbdfcdbeadbebcddbecdbegdabdbffffddbgafadadfdbgdcaabeggfddcacecdadcadcbacfddcbaddcbadgdcbcaedcdcbdcbbbcdcbdcfebgedcbdccbfdcccgdgeaddccdgfedccebcbcegdccfdbbgdadccgdddddcdcddgcffgcdcdfbdcdfeedcdddcecfcgbgfdceffbbffdcfcbdcfdcfefcgffgdcffdcfgfddcgabbdceddcgceddcgcgcgdcggedcddafddagbgefbddagdafdddbcfaebfbddcbbaagddcbddcbfbgdeeddcdgeffbbddcfdfddeddcgdddbcdffddebeeeddecaeaccddegagddfaddffcbcabdddfgcgbcddgbfddgcafddgfdeabbddeadeafddeagcbfddebeadfadebfbaebebdebgddgdebgedffdededfegfdbcdeefcebfgdeefdeeffddeegbfacdgdeegcfdgadefbabdefccbeddefgeeeadefgegbfefdegbdegcffcgdeggcgdfadbgeffdfafcaacedfbabbabdfbbggaeafdfbdggfdfbfedfcaeacaedfcddecgacdfdabaabdfdabgaedfdbacbadfddedfdgeedfedfedgcdbecdffbggadfedffdffececdbdffeeecdfgadgbcgdgbdgbgcdgcdgdgebdgecbfddgedfgbbdgfaabgfdgfdggaegfedgggeccgeaaceaaeacbcdeeaceacfaeacfbccaeadaaeadbadeadfdaedeaebdbfeaedceaeaefdgcaeaegaeafaeeafbceafcbacceeafdccaedeafdgcfcbeafeabcbeafeddcbbeeageeagfebaeebebaebafbcebagfeacgcebbagefdgebbebbfdfbfacebcbcaebcbdebccdgeacebcfebcgebdbaeebdeebebdebebfacebfbcaebfbgggcafebfcgcecgcebfecabebfebfgdgfebgbaaedggebgebecfeecacgfabecafbecbedecbecdecdegecebaagdeceegecfdbaecfgbffacecgeeeffeedaedaeegedagbggabdedbeggfaccedcabcgdcedccbacccedcddgeddfcgbdcedebgfgeedecacededeefbdedefedfaeedfcadcedfedgadccabeedgdfffeafedgeeabbceeaceeadcbbefaeebfafcadeebfebbgdgeecbfedddceecefgcadeecffgfeedaagfcbfeedaffeedeedgecegfeeeebeeaeeefaeefagfbgeefdabcdaeeffbbdfcefaaggbeefacbacefaeabggefafgfadeefbgaefcacfabefcaeffefcbfgafdefccfefcgdcefdcefddggbecdefdeafbbdefdeefefgagafefgefgefgeegbdefgegbefggegacbegbaegbbdbgaaegbddcegbgecegfegcdbaegceeegcfecegfaegdaafegdabddeegdacfgdeegdccdccegddffeeegdegdegegdfbegecfbbegegefcaafdcegeggcdacegfccebceeegfdeggbeadeggedaaeggfeggfgedcefaabbcfafaacabceecfaafcfaafecfabcebfabdcafcbfabfacadafacccfbfacdgecfaceabafadbdeadgdfadbfaddcaafdfaeaafaebcfaebeeeccfaeeffaegaefffaegccfcfaegecgedfafbfafagbdfagbeacafagbeefbbgfagebadffbabdfdecbfbcbfbcefgdfbcffbcgabfbdagfbdddcfbdfgbfbedafbedgbgefbefbefbefbfegbcbafbfgfbafdfbgbdgcgfbgdgafafbgeafgffbgfcfbgggfcacddgfcageaadafcbadefcbbfegbggfcbdbbfcbfcbgfcaafdfccafeecffccbdfccgggdffgfcdafffceagcdaeffcegdfbfcfcfgabgffcgaafcgabbefafcgbfcgebdacdcfcgfdacbbggdgfdadfefegfdaffbbgaefdafdagfdeafdbbbfdcagfddadfdcgfddbbafddbdgagaffddeedacfddfgbbcgfdeafdedaedfdeecabcffdeefdegfdfeaffbgfdffabddafdgbfdgegdfdgfdggfeadbgcfeadfcgfebddddbfeccfeceegfffedaagfagfedafedbefeddccgfedffeeaafeebbbfeecbfeecfcbgcfefcfefefdfefefgafefgefegabfeggaeffacbcfecffafffbbgbffbceaeffbdbeffbeaffcacabcaaffceegccecffdbbfgffdeegdffdeffdfcabceffdgbcffebffeebcbaffeebccdffeggfabgeffgbcdbgaffgcbfebdffgdacbcbfffgfgaabadbaafgabcfgadcfgbabgefgbaedfgbdbecdafgbfdgefgcfefgdfgcdbeefgefeffgfaegffgfcbgdbfgfefgfgfgbbefbfgfgdbgaacfgaaecgcgaaffgccadgaafgaagabadgabaffgabffegbgegabgafffgacbbeefbgadgaebgaeccaddbgaedgafefgafegagbegbaebgcbggbbacdefgbbagddgbbgbcaagbcagbcdgbcggbdcabefgbdcdggbacgbdddcdggbdfdeggagbeabeegbeeccebgbfadefgbfbagbfbgbggdfgbfcfbdbggbfdadgbgffccagbgfgbggfeeaeggbgcacagcacdgcaceaggcadegcaeadcgcagecfggcbdfgcagagcbedgcdbgcdgceaegcebfbfgggcecgcegcfbcbagcfceadfbggcfedgdabcgdcgdacegdadcggfgdbebagdcgddefgdeadbgabgdeedgdefagegdfabfbfggdfagcgfgdfcgfccgdfcgdgbdegebdgdgdgdgfaecegdgeabbageacggcageadbcgeafeegeegeagebfegccgecgeddgdgedebgccabgedeffbgedfcfcdgedfdddgedgeebebfbgeedbcgfgefeagegagegdggfaabgfagfbfcbgfcededgegfcegggfcggfdadgfdbbgfddeagfdegebgfdgccbfegfebagfecdgdeegfedafbgfegffagfdagffecdfaabgfgaadabcgfgaggacggadccggafeddaggbbggbdbbgggbffggbggcefcbggdbggdggeadbgggecbaggecgggedeggeeggegggddgggffbgg