abcaabbaacbabbaaacbbcacaaaabdadabaaabcbaaacbbaaafaabcadabbbabbababbaaeadcabbabacaddbaaaaadbaaaaccabebbaacccbabdaaaababfadaaaadbcbaedacaaaaabaaaaaaadfdaabadaabfbaacacdacbbababaeacdaadbabbaadcbdbaacaaaecaaaaaacgbcaebabbabbcbbabcbbcadaccaaacbbeccaabababfbadababaaaaabeabddaaadcdbbbabaceaaadadabaabedbacabaacaabcfbbabdaacbbdbcfaabacbabdaacaabcdcaccbcadaaceaabcabbbdacbgaaaaadadaababbddbaaaabcfadbcabbcbabdcdbbbabaaaaaebbbaceaabbdbdbcbaabfcadcaaaacgcaabcaacbaaabebeacbcaaceacacdacabaebacddbacaacacdeadaaabbaabbdbbdcbaafecabaabacbbccbdabagaabbbcbbbbbaedbabbccbbdadaabeacbcaadacaccaaccdacadadadacacbbaaabgacccbebaacbacfbbabaacbdaaabcbabfdadcbbbabbdcaaaacdbceabcaaaaageadcaacbabecbcabacabfdaababbacaaadbebfaaaabadaddeaaabcaeafcaaabgbbbadbaadecaadbbaaeebbdabaabbaaccbdeabbbagabdbabcccceabaabcecaaaafaccaaafabeacfaabbfaaaedabdacbaafbaeaeaaaagbdeaaaaabaaccaeafababbaefaacbabcfccbaababdfbdaaabbabcaeaebbbafaaddabbbccbaagbabbccbcbbadbbebaaafcabcaaadbcdccabcaeaafacdabdcdaaacdbaaaeaeaceccaababccedacbaabbdabadaacbedabfbaaccadbabcaabgadbabebcbabdcdacbacbaddbdbbacaaeaafaaebaaeebaabcacafbbbaacbcbffbdaaaaaaaaaaaadfgbaaaabccbfeaaacbfaaedaabbdfbcbbaaeafbaccbaaeafbadbbaagcdabbcaabaccabgbcabbccafcbbaccgabdabaacebaaacgaacgababdacadbbbaeeabaeaceabcbbafaaaabgdababbcdaagbbacdcbbafabacfabadadbbaacacccfbbbabddebabbcabcfdaabbccaacecbbbcdaabdaebcacebaaafbcfbadbbbabdaacedacabeadbaceaabecdbbabacbfbbbccaacbgaeaabdaacbaabdbdaecbaacbadddcccfcabbaacdabbccbbcceababcbbdcffbabbaaadaadbbadccdbbccccbabdebaabbbdbdfbaaacbaddgaabbdaabdgabaaabcceabbaabecceabbebaaeaebdbacbaadecabadabaefacbbaaafbfcaaaacfabfdaabcbaadaaabacgdbdaabccdaaeeaabdbdbcfaaabfaaaeddaadabacdcfaadbcbebaeaaeabcaedcaaeabccbbfaafebbcbbbaagcaddbbaababcaacgeabbacebddbabcacbcagcabdaacdcebabddbebaadabfaeabafaacabdaaceeacabgbadbcacbbdbadafacbdcbecbaacbecbbbdbacbeeacadaacdbaaafcdacdcadcaeaacebbeabadaceeabafaaadaedabcbcadcbaacfdaadcbacafcbadcbbdbdbbadfcaabeabaecagaabadafeaacbabdagabccabaeagabfaaabdbaabbafdafbaaccaagebbaacgeabbbbaageabcacbabadbebebbabdbbedcabacaafcebbbacdcbebbbbaeaaebfbabbaabfdaebbbafdabebabbbcdabbgabbbfaecacabbbfceaabbbbcfcbcacabbeeabbbcbbbeecacbabbcdbdaabebbdadcaceabbdcabcgbaabeaaddbbcbbeabebacdacaacgaaceacaadbebbcccabbafcebacabbcfcabccabfcabccbcaccaeabebcaecacbeabcbaaaadececbabccebadcbbcbaebaecbeafaabadccbafcaaeacdaaabbdfbcebacaagbacfcbbacbbbdacbcbbcaedbaaaaeedbdbbaaafcbddbbgbbabbbdbebabfabadcabdcaadcdcbadcaeabddaacadeabddcaacbaafeaaaaafbceeababcaddceabddcbbbaeacaccbbdbeadbgabbaaecbaaaeaafedaaaaebccedababbaeceecabaadacfacabababgfbaaedadaafbbaagaaadfbdbbaccbafgaabadbaagcagbbaaaagdcaaabadbaaaceaccedaaafaebfbbaaagdaacbfaabagadedaaabcafbbedaabddbcdeaaacaabgafdaacbbcgcdaaacbddagbbaadacccadfaadagbabagaadebeaeabaadffaaaccaaeaaadeecababdgagaaabadafbbceabadbbbdbgabbaadcbfeabbbecadcdabbcbfcbdbabbeacdecaabbedbdcacabcaaebdagabceabbcecabdgafcaaaabeabaccfcacccafadadaccccdbeabacecbbcacdacfabaagcbadadbdeadaadbcabecaeadbgaafaacadcadaeabeaddeabbafaaeafaacdbcaedcbadbbcafaeaadafaafbadbfbabafbbaaccceafbeabcbcbafceaabccbagabacfbcaagabcbabfbagbdbbcaadagcaebbbbbagdaaacebbageabafaabbaaebbafdcbabbegaabdbacaeeabebbacbfbbddabbaccabdfcbbaceaacgbbbcacdacfbbbcbdgbaacbbdabbfdacbbdbdfabacbcaaeedaadbcabaagfbbbcacbadacgbcacbcaedcbcadbbcdccbcbacbdcbebccabdbdaebceadbbbccbcfdbcacabbdaafeaadbbdaeabdbdbbdaeecabacbdbaecaddabdbbaabagebdcabdcdacbeaadaedbbbeccecaaacbeeabbbcbcbfbaaaecdbbgaadbbcbccaabagcafbcaaeecaaafcaccaddccbcadbcacfbbcadfbaaecacbbbcfeabacbcabacafecbdagdbbaacbeaaagccacbeeaabbcccbfbcbcbacccaadeaebbccabebdcacccfbbaaafbcdbcbaddcacdcaadbbdccebabccafacgaebbbacacgfaabaacbdaadbcbfbbdaadcebdabdaaeaabcbgdabbcbcccddacbaaceebdaeabfaaccdaebbbcaafdafbabbdcbdbaaacfacedbaabgadbcdbabagaebbdbbadgcbaadbeeaccaabdcaccafdaadcadabeabddcadacadeaddaabbddcbdeaacafadadeaadbbdacdfbeacbabadfdbaaccbaeabaecdadaeacedaaaeaecbccaeacaeccbbedaaaeceaedaaaaececbaacaceeaaacdacceecabeaacafaaebabcdbfabdecbbaafacabdbabefbabfdbaabfccafabbabfdcbadbcaaffcacabcaagbcdbadbaagdbabdacbagdcaababdbgeacaabbcbaaaaecdefaaaabfdbfadaaadcbgdbcaaaddadafeaaadeeaecbaaadfbgbcaaaafeadcaeaabaaegfbbaabcebgbadaacacbfedbaacebbbfdbaacgeacbcbaadbdacfbdaadcbddcaeaaecacdebcaaeceebaadaaedfbbaaeaafaffacbaaafeabadebaagaabfaddaagdafabbcaagdcaabceababafbdcfababfbdbfbabaedacbfcabafbbaeecabbbgbcceaabbeecadadabbfaabddeabcbaadbgeabfbbcbafcabfeabcacdabgaadeeaaacaaegcaccacadaeccdcacaegbcacbacbafabgdaacbbdfaaddacbedgaaacaccadcdaecaccafeaabeacccbddbeaacdeaabafdacebdaaeccacebdcabafacebdccbdaacecccbcbcacefaadcbbacfbcbbceaacfbdbdacbacfcabdcdaadaaaggadaadadbbbfccadbagbbceaadcbbbcafdadccabbebeadcccccbccadfcaaecacaeaaebabgcaeagababbfaebcbcddcaaecbcgaabcaefabbdcacafaaeafbcbafbcaeagaaafdabaagdaafecbdaacbagaafcaafaagafaabaddagbdbbcbdabaabfcbbbgbacbgabdeabacefacbbcbacfacfbbbbadbadfadcbaddafdabcbadgeaadabbaeabebcafbafbafaagabagcbecbbabbaafbdbgabbacbfbbbfbbaeegababbbdaaafdebbbdbbdbdeabbdebcbdacbbeacdaacfbbebcccaebbbecbccccbbbgaaafcbcbcaabcegcabcacbbbfdcbcagadabebbcbbbebedabcbfgaacabbccbaeccdbbccgbabebabcdbccceabbcfbabdaebbcfcaeacacbcgbdaabbdbdadadcdbcbdbabbeagbbdbbbagdbbbdbdacafcbbdbdeaaaecbdcaabbaegbeaabdedbbbfaaacgcbbbfbaabeebbbgdbeacbaacaccbcacdecacdgaccabcadbdadbdccaeacaeddacaeccfdaaacafaacbgcacbaddbcaddcbafabebdbcbbbebcfbacbbefbccaacbdeabbgaacbdeebbaaccbedbdaeaacbefbbabdacbfbacacebccaaabfeaeccaabadgaeccaccbacbgccbcdeaaaeccdbfcabbbccebgacabacdagbabeabcdcbcaaecccddaecadabceaabbbafeceaaedcadaceccdbcbabceddadabbbcfabadagbacfbcbacbcccfcbaagaaccgabbdbeaacgabcadbcbcgbabeaabdcgecaaacbbdaaadbaebgdaacagebcadacaabbgdcdadbagcbacdadcaceaccdaeabdfbabdafaccgaaadagebaacacdbacfbagaadbadefbbaadbbaabdddddbbbacafdcdbbbaecadddbbdafafaadcbabbeeacdccacfadabdcdaacbcafdcddabbaebddaaaeabcfddbecadcaadddabaaafddgebabacabdggabaaabbeaaabeafdbeaaacggaaaeaabbbaefceaadbfabaeeabdbccdcaeacbbbafbdeacdabbcebeagabacacdecacacgaaceccbebcaacedbedcabaaedcbbabbdceebbbbcadbefabacfaabefbbfaabbaefcbdabbbafaaabgaddafaabbedadbfabgcdaaabfacacaecadfbabbadacffbbbcccdbafbcaaacfcbfbcbcbaagafbcdaaabagfcfaabbcacfdaaadabbffddcaabaeaffbadcacaagadacddbaagaeaaaedabgbdafaabbbgdbcaadbcaaaacebgdadaaadecddaeaaafcdadecaaagbbaedeaabfeaebbdaacbafaagfaacdbedbebaacdcbebgaaadaacbcfgaadbcgbafbaaddcbeafbaaddfdabdbaadebcbeaeaaeagcdbdaaaebbdgaccaaececcccbaaefabceadaagbaddbebababbeecddabbacbggcaabbagbbdecabbbdcdcddabbcdddfababbdccbfaeabbecfbbaeabdccbcagcabdfbfadbaabdgbcddaaabeacaeadfabecbbafafabedacbeccabefeaebaaabgaeafcbaacabfcdfabacacbcaefdacacbcagbfacaeagbagaacagbeaaagacbfabadcfacbgacbbfbaccacafbbgaccbabcgfaaccdbbbbgcacceaacdddaccffaebaaacdabegbbbacebadceadacebccagacacecadbedaacfbeebbbaacgcaabddcadabgaefaaadafacbafdadbaacddcfadbbagdcadadbccadfbcadcabfebcbadccaagbdcaddbcabdbfadebbaaebfadfbfbabadadgcaaaebdadgcbbaaagaeadcbfbadaecbccbdbdaedeacebabaefbdadcabafacaeacfbafcbaddacdafcgccaacaafdabedbacagaadageaaagabaaafgbagebadadcabaabedgaccbaadaedbgbbaaeeddeaabaafebafcbbaagabddcdbaagbaaegbbabeddbfbababfcccdcbbacagdabagbadbdegbaabadfccddaabaecbgbadbbagacfaaafbagbeeaacbbagcaacdfabbaadgdbccbbadedbeacbbafabfaecbbbcadccdebbbddaefbabbcabadbgebbcabbefbdbbcabcebgbbbcacbbgafbbcfeaafabbbdaagcdbcbbdcdebbbcbbdecfbabbbbdgabadbdbbedbbbecbbbegaabfbabbfbbfaadcbcacacegbbbcaccacagebcagafbaccbcaggbcbaabcbcebbacfbccaddbedabcddacbbddbcedbdebaabcgcaabaedbdacbebdccbdafcbddbabdafcfacabbdbafebeaabddbbdbeacbdedebbabbbdfbfbbbbabeabbabcfebeabbbebfbbeabdbabgcbeagaaacecbebbfaaagbbebcdgbababebdcadacdbecccbgaabbeccdabbcdbedaeabagabeecbdadbabfagadcbabbfdbcbbcbcbgaabgcbcabgdceacabacaabcgbebccaaccabddgcabbdeeabdcabbfdafbbcacadedbaecacaecbfadcadbddebaccaeacedbcbcaeaedccaccaecabeccccafdbbebaccafecbaadccbaaadecgbcbaacccfcdcbabbfebdbcbaebbaeddcbbafbbfdacbbagccabecbbbdbdecbcbbccbfeabcbbdccdbdbcbcbaefadbcbcbegbbabcbdacebecacbecabdbbeccaccaagcdccadaefcabccadcagaeaccaddcabfbccbfbbecabcccaadeaagcccaefabadcccbbabbefccceaagbbbccdeeaadbacceabcbdaeccfdaababfccgcaadbdacdadbcbdaecdbeafccaacdcaceaaecceacdgabbaceccaaadcecececeaaabceedbbdaabcfabcdebbacfadacdadbcfbaacebcccfceaabdcacgadbecaabcgbaabafeadaaabadbgfdabaeafdcbdabcgbcaccdabddbebaddacafebadbdaefbafbaadafbbacbagdafccbabbedbaedabacfdbbeacdcaddbccagcacbdbeafbdacadbfcacfabadbgaaccadcdcbbcaacdfdcbdbbgaacdcbedbbbaddcbfdcbcaadcgfcaaaabddaadbccbeddaafaccdbddbaaabffbddbbbgbbcaddbfbafbaaddcaebbbaedddaebcbcadddbeaaacddeacabadfbdeacaebebadeafaadbcbdebabccceadegabbcbabdfcabecacadfcbaabcfaeaadagcdabeaafbbdbeaeacabeadcdeacbcfaebaeacdbabddceacdeafbaaeadaagcccaeadcbaadfbeagbdbabbcebaecbcbaeebcbdbcbbdebcdcbeacaebddcgaaaaebfacbdaadedcbabdcdaeebebbaeaaeedbaabaceefbaccaaebefcaacbadcfaaacbeeadfaaaedebacfabdbcbdadfafbafabbbfbbbefaacafbcdacagaafbceaababffcaaacdbddfcbaceadcafdaccbebabfdbbbaabdefeaabbbbbffebabebcbagaafababecgabccafbbbgbadabdbaegcfdbaaabbgdbbceababgeeaaaacdagfbcbaaabdaaabbegadfaaadegaecbaaaeaafdeeaaaefdcceaaaagaaedcfaabbceeadfaabbfbbcgdaabfabfcbfaabgabceagaabgcbaaffaacaedfcaeaacbdfdecaaaccaggbcbaacccbfbgbaadbagdfacaadffdabcbaaeccfaaedaafaaagdbfaafbcdafccaagcdacbceaagdabbbgcabacdcececabacgabdgbabadaeecfbabadgdaadeabaedbbcfdabbabdgafdabbagbgdbbabbgbbbaefabcccbgbfaabceeeeaababcfacabfeabdagabdagabdcbacgbeabeaaagbdfabebadbeddabecbebecbabgbgcacbbacaafdddaeacabaaefdfacaeafbcecacbecbafafaccabbeeceaccbbfbfdaacddcdcaebacdfdaafacaceaffbbcaacecadaccfacgcdabebbadabaecccgadacadceecadaccfdaafadagaeadbdadagbacbcfadagcabfbcadagcdaddaadbaeecfbaadbfaedbdaaddaaeebebaebafbgcbaaebbdbfbbdaebdbbacdfaebffcaacbaeeadfaaccaegadabaceafadaebbbfafaebaaeddafbbcbdbecafbeacafcbafcaaafeeaafdacaffaaafddcaedaaafecbcbadcafgecbaaacagacadebaeagbbfcadbbagcbbbfaccagdeebabbaagebcabcaebaaccadefdbaadagabgdbaafcdafeabaagdaeebbbacbcbfdebbacdafacgbbacedcbafcbacfebfabbbadaccbagfbadbceafccbadfbbafdbbaecedfaabbafabdbebebafbbeadcdbafbdbeabebafbfedababafcfcaadcbafdbcbagbbagcbbcadebagdadcadcbbaaedgbccbbacbaefecbbacdffbcabbbdafgcbabbbdgbdeaabbbfaaaaggbbbgfaabbebbcgdaabecbbeacfdbadbbgacabgdabbgacgaabdbbgaeeadabbbgfcacbacbcababfbefbcabedgabcbcabgcbedabcacebedadbcafgfabaabcbcfbebbcbcbdabbgcdbcbeebbcbdbccabcgfabbccgbcbcadbcdbafgabbbcebddcbadbcebefbaacbdabcfbgabbdabebdbcebdacdaafgabdaebbccfbbdaeeebacbbdbbgdbbcbbdccfbaaagbdcddccbdabddadfbccabdddbaebccbdeaaedbaebdeaddadcbbdecaccafbbdfaabadbgbeabeadedabeacaceebcbeaeadacgabeafeabbccbecgdbbbbabeecacafcabfaafcbaecbfabdfacdabfafacabddbfbgafaabbbgbbefcaaabgdcbabebbbgebacabcdcaaadffacdcaaaffadafcabafdeacdcabdafbeaecabeagaabgcabgabedbccabgacaecdcacabggbcacacdabcdbgcaddaccaeecadddbgbbacaddedcbbbcadebbbfdacadegabaaecagaaabfgacagccbfbbacbaabffagacbaccacfcecbacgacagbcbadadeebccbadbdabdgcbbccgcadbcbbffaaagacbcabeedadcbeaedcdabcbedcbcdacccaacaegdbccabafbfeaccacfafdbaccbbgbbecacccaadgbdbccdbdacbagccecafabeaccecebabbdccfadcdcbacdadaaafgbcdbagaacddcdbcbfafbacdbeaacdfacdbfagacabcdcbbbcdafcdcbbcdcbdcddacbbeaecddacccbdccdfcbabgaacdfdfbaabaceaabafagcceaadabececeacbebaagceccabaefacecdabadfaceebaadaeccfaabebaedcfaadbdebbcfadccafbacfbeaeabcbcfcbcbabgacgadaaacedcgbccccacbcgdabdaaebcgeaabbbfacgfaccbcaadaacdbcdbfdaafbcbdfadabcdeabgadabdcbbcfcdabececbbcdabgabcaeddacbdebdcbdacecbfabcdacfebabbddaddaacgbcdaddccabbfdaeaagccaddaedcedaabdagaaecbeadbagdbcbbcdbbaddcagbdbbdbfcdbadbbfadbbebdbdaedacbddbdagcadcadbdcaedccadbebbbcdccdbfaccdbaddbgbdfabaadbgcabcbaedcababedgadcbecaccbddccbfcbcbbdcccageabadccgebbaabdcfbacfaacdcfccadaadddafaabdfaddagabeaadddcbacbgcadebcbdbbeadecadaebcbdeeaebaabddgacbaecacdgbdabccbbeaadeafccaeababegdbaeabfbccfaaeabgabceaceaccdaacedeacgabfbbaeadbagcabdeaddbbcdadeadfcacbcbeaeabbgdabeaebaaadgceaebbdebcaeafgaabaccebaadcbaefebbecbdeaaebcagbbdacecaabcafececaabcbfbeecaaedagbaecadebbebaecaeaaaffaecbabfaabgececbacaebedaadecbdaedcaeebbbaeebeadaeaaeedcecbaaaefaacbfbacefdcccaaaceffdacaaabegabbecaacfaaafebcadfaacabceecfababgagbafabafaagcbfabbcaafcefacdcabfcafacfaadafafadaabfbaffadbcaafdbfagebabadafbaababecgfbabbcgeaafbbbbaedccfbbcgcadaafbdadcbaaffcaabccdcdfcaadcaeeafcbadcbfbafccbbdeabbfccdacdbacfceacabaecfeaecbcaacfedacbeabagaadabdcdcgacbaabcdfgadcabbddbgaeababdebgbbdfbcaabgbcaeaceabgbcafcaaccgbcbbdbafagbecbcbbcagcaaacbfccgcababeecagcaccbdcbbgdadbebaacgeddaabaadaaaagaecfeaaafcbadegaaaffbbbcgaaagcbecddaaagfaddbdaabcdceefaaabgdccadeaacbefaadgaadcecdccdaadfaefeaaaaeaeeafdbaaeafabfgaaaebfbbccfaaebgaddbdaafcafgacbaafdcgeabaaafedfbacbaaffeeabcaaagdcdcafaaageagdabbabaaaeeeeeababddfdcdabaebecefaabaegaaegaabbbcfffbaabbbdeefacabbdbfaageabcbdbccfeabcdaecdgaabceeaceaeabcgcecdababdbecbcedabddfbgaacabdefadcbcabeaadcgebabebacfcddabffadacdcabgbagbbdcabgdbaeecaacaadacggcacaafadegbacaebcddceacaedgaceaacafeacgbbacbcbfcdafacbdbfadecacbdbfgbacacbecabdgcacbfcaeecbaccafbfaagaccecgcaadacceefbbacaccgecacdaacdafcbdcdacdcbcdbgbacddaedecaacdddbbafdaceabedbgaaceagdebabacebbffdaaaceefcbbcaacfabaddcfacgacfdbacadaadefbcdadabbdddfcadacdfbafcadadbgaaeeadafeceacbadbaagddcdadbcadeeeaadbfcdaeadadbgabefbaadcdbeabfcadcecfcdaaaddbbdebfaadeaccabefadfgbaeaacaeacefbaafaeadcfbaagaebaedaagdaebbbcfadeaebcecabfcaebcfcaeadaebdebgbabaebedbccbdaebfgaabccaecafadadeaecbaafbgcaedaaacgfbaedadacgadaedbeadafbaeeaccaafeaeeagaaedaaeebbddbdbaefcccdcabaegbccaaceafaadfcaecafabbbgccdafacdcbedbafbecbafcbafbfaeadbcafcbdbgacbafcbdebdacafcfeadbabafddccabebaffdfaabacagaefcbaadagbaaddbedagbbabgcaeagbbcddaafagbeaebbbdagbgacaebbagdeabaacfageaaabgaeageadbbcccagebacacgabaabbeecgcbaafdbefacbaafdedabebabaadgccgbabcacecefbabegbabdebacafgeabcbacdgbacfbbacdgbfacbbaceaeacgcbacfeeabbdbacgaaefdabadagdcagabadcbbcgafbadfcbadecbadgdbcafabaeafagbccbaecgbbbdcbaeddbcedabaefaffaabbaegccaacebafaebedadbafbfbadbebagbaaegadbbaabdbdfgbbadgbedacbbagbcbfeabbbebebcecbbbfgabebbbbbgagbacdbbcbagedcbbbcbcadafgbbcbedbbbgbbcdbebcddbbcedadccdbbddbddafbbbddcgbaeabbeagcfbbabbgaacbgaebcaagfbfabbcabcdeagcbcadgacaedbcafgaebcabcbbabdgcebcbbedgaadbcbcefabafbcbdaegcacbcbdbdadfcbcbgbabaefbccaafcgdabccadaagdebcccecebbcbccdfcbbdbbcddbbecdbbcebabdaefbcfcaadbgbbcgadbeeaabcgafbadadbcgceacaeabdaafbcbfdbdaafgcbbcbdacfdbcbdbdadbcgabebdafabcgcbbdagdcecaabdbbaadggabdbfacdddabddcbccbgabdddbbcbbfbdeabebbecbdeaccbfcbbdgfbdbbaabeaaaccfbgbeaeacafbebebdceadcbbebfdecbaabedafaagacbedcbaadcfbeeaaacdgbbegabaaefabfacdddbbcbfadeacbcdbfbacbdagcbfcaadaddebfcabceabfbffaafabccbffbdaadcbbgafbaecacbgbebcadbcbgcaaadgadbgdadaaedbbgebcccbacbgedeabacabggebbcaaacaabfbdbeecaacdcefbccaafaadafgcabdgaaedccabegaeaaecabgfaaagbcacdbgaecbcadbdaafbgcaedddagaacaeeebaabfcafaccdeadcafeabbbdecaggbbbbcbcbacacceeecbafagagbacbbaaadfdgcbbbedcccdcbbbeebecbcbbcagafaecbbcfacfdacbbdacfgabcbbeceadeacbcabfdadecbcagddadbcbdafabbeecbdbeagcaccbdcfdbbcbcbddcbafaecbddddcacccbfabaaddgcbfbbeacdccbfbcadfaccbfbdbaeaecbgcadfaaccbgccaabfccbgdcbcbcbccabebcafeccabgbabgcccaccebacgccaeabdafeccbbbbdaegcccdecafbaccdddecbabccfeaacabfccgbbbcbebcdaaaedgcbcdabcdbfaecdacgbbabfcdbaaefdadcdbagbagbbcdbcaddbddcdbcdbagdacdcbadbccfcdcfabacddcdcgabafaccddbaecfbacdddbcdbadcdedbbebcacdefddaabacdfbbadcaecebabebbcfcebbgbfaabcebcddabebcebfaafaccceccbecbbccedcbabdafcedcdfabbaceefeaabbacefaaadbbfcfacabefaccfaeeaacdbcfcbccecbacfeabaeafacgbeccaeaacgdbbgaacadabbbdbecfdabbcecacgdabcbcgaecdabddeafcadacabdbgafdacbacddeddacbggbacadadafbfadbdadceecabcdagbfbaadcdbaabcebgddbbaadgbcedbbcgddacadbbfbeaaecdbcaacfbeddbcagaaebedbdabaccefdbdcabcdbfdbdcegcaaadbeaabcecedbfedcbabbdcabbcceagdcabdcabfedcaeefdaaadcbaccfbdcdcbbaacfcfdccccbdgaadcdbcabeebdcdcafbbbddcdcbcbbfbdcecacabcfdcgbbedaabddabagccccddaeeabbbeddbcaaeebdddbcaddgaaddcccaeaebdddbceaafaddfbabddbbddgbbeacabddgbdababddecacgaccadecadebdbadeedaabdcbdfbadbbeaddfbeabadeadfccbaacgadfccebcbbadfdaccbafadfddaacafadgabfaabcddgccaabfcadgdaaeadacdgdbbaceabeaacdagaeceabaebbaffeabbagagbceacadeaacgeagacbddbbeagccbaaddebaaccgbafebaaddfbaeebabagcbceebabcbbgafebcaacgaagebccbccecbebcdbabcfcebdcbabdddebddabbcceebeaaadcgbebgacebacbecabaaafgdecacbebccdecageaeabaecbbddcabeecbcdaaafeecbebedaacecdbbaeaececdbccaddbecdgbaacadedcfbcabcbedfabbcaafeeabaacefbeeacccbbafeeadacdacdeeaeadaecaeecaaedbdaeeeccbccaaefacbfbbcaefbaecaebaefdabbabagegbbadcbdaegbdabgaaaegcaadbabefaaaeecdadfaafdacaddfabfaaeebbfacdcacdccfacgbcdacafadabedcdafadaeabdcdfadcaccdaefaebcbdebafafabeaacefbabdbdcebfbadaegabbfbbacdccdcfbbbabebedfbbbdaafbefbcaddgaabfbcbbccdbdfbcbdcdeaafbcdbafbadfbcdddbbacfbecbcfabafcacaagddafcbaebacbffcccaacbfcfcdababedcfceccbaabefdaebcfaabfdbcbgbacafdcbbabebdfdcccbadbcfdcfbeaaabfeaabcgaadfecbbaaaeeffdbdabadaffddadaaacfgcbabdcbagabacccafdgabaeabdfbgabccdcafagadcaaeafbgaebadcbaegaecbaeaaegbaadacedcgbaadcacfcgbaadgadacgbdacccccbgbddbdadabgbecaddabbgcaabgacaegcacecaaafgcbadadacegcbaddaacegcbbaccedagcbbccebacgcdbcfaacagcdcabafacgcedaabeabgcfcebabaagdababeafbgdacbadagagdbadbedaagdbfabcdaagdcaebbaeagdgaaeaabbgeaaaccddbgeabbdbebageacabddcagffabaadabggaabcbcadaaabbfefddaaabfcaggcaabacfgedbaabaeageedaabbeffdadaabcceeadgaabdfeaaefaacaafcgcfaacaeeddddaacaefbccgaacfaagbeeaadaafeffaaadacfcgdbaaddbabggcaaecbebceeaaecbgccfaaaecdacdeeaaecfeacafaaeedbadgbaafafdcacfaafbaecebfaafcdbbccgaafdfabaeeaafeaafeaeaagbdebdbdaagcfcbabfabadccebgdabadegeeaaabbaccgfafabbeeccaeeabbfacegbcabcdadaedgabcgbdcgbaabdacdedgaabdceebbceabdcfbfbccabddeddbbdabdgbfcbadabdgddbdbbabeebdbbdeabfacafcedabfaeadcdeabfbgadceaabgabacfgbabgcdabgdaacacbebfgbacacedcadgacbdbdbagfacbfaagedbaccaeafdbfaccafeedbbaccfeeadacaccgdafdbaacdaadfdfbacddbbbbffaceabbdcefaceagdcfaaaceegccbbaacefbcdbbdacegedabacacgdcecbbbadaadebgcdadabebcgfaadagddcdcaadbcdebeccadcadbfbcfadcadeccbfadcbadcebgadccdbaegbadddbfdabdadeceaafdbadfeccbbdbadgadcbeadaeaaabfegcaeaacbdecgaeacdeadagaebaaecbegaebdbcdcfbaebeebedabaebefabdccaecabbfdceaecacdacgdaedbbdgcacaedfcbbbafaeeaagadafaeebecbceaaeefabbbecaefcabfdbbaefdebccabaefgfbabaaafaadeaffaafaagbdafcafabegbbccafacecaeebafadgbadaeafagaacdgaafbacddadfafbbcfebbcafbebdaebdafbfebcccaafcbbfaddcafcbgbedaaagaafdfbacagbaaaeegbagbfcbbbebagcaabcddfagdaadbbgcagegaaadcbagfdcaagaaaggadacdacbaabbdecffbaadccgbfcbaagabgddcbaagcccbdfbabaddebefbacbegccdbbaccafcfafbacegcbfbabacgccbgacbadbadgbedbadcebbcgcbadeadgbaebaecbcagagbaecceabeebaeceacfccbaedbecdbdbaegaefabbbaegcbacfbbafagbgcabbagabcbebgbagbdbdgabbbabgdceaebbacgaagfbbbaedafacgbbagefbbdabbagfbbcfabbbbabcegfbbdcbadcefbbeaefbddabbeafafafbbbeddecbdabbeeacfbccbbeebafcdbbbfcbbccgbbbgfbfaadabcafdbceeabcagafecacbcagdbeafabcccbebccfbccgagbadbbcdaaefacfbcdabbcfcfbcdaecaceebcdbcgccbcbcdbdbdadfbcdbeabagebcdcdecbdbbcdebbebfabcdeddbbaebcdegabdacbceddaeaebbceeacdebbbcfcdcadaebcgeacbecabdabfbabgebdadbaffccbdaeaafbeebdbafcagdbbdbgcagbacbdcagadbagbdcbbgddcabdccacgafbbdefdbdbbabdfbddacbdbdfdaccceabdfdaefaabbdgdcdacbbbeadbcbcgcbebcgadbdbbecbdbgaccbeceadbfacbedafbdadcbeeaabcfdcbeebcdacafbeedbbcbafbeeeadaaagbefabbdcafbefbccfbbabfaaecgbadbfabcdcbgbbfacbbbfbfbfacdaabegbfadabgcdbbfagacagbbbfbadeebadbfbcbgacdbbfcgbbacaebfdbbfacccbffcaaccebbgaaadagfbbgbbdfadcabgbfdacdabbgfdbbdabbcaaabgedcecaaccaebgfcaafedaebdcaagfdaddacabbgcfaebcabccgfaaecabcgddbdbcabebcebgbcacacdfccecacaffcecacacfaagbgacacfaedbafcacggbabdbcadaebbgebcadcddebdbcaddgdccbacaebfdaebccaecaccbefcaedbcdcfacafbdacdeccafedaabcfcagddcbdcacbaadfdfcbcbaedeeeaacbaffcecbacbagdabdbfcbbafcbaegcbbbddcdbfcbbeedbbcdcbbfbbcdgacbcbgfaccbcbdcbeeabecbfcedbccacbfcgdaadacbfeaagbcbcbffeacbbbcbgcaceaebccaccgbcbeccadbacfbgccadbdcbdfccaebbebdeccbaeccgcbccbeagcbccccbgaeagbaccbgcgbaaccccdeaafbdcceaafcbcecceaeaeabfccfadeacccccfafbbabfcdacaaeagfcdafcbagcbcdcacfcagacdcbacceagcdcbcbbffacdcdadedcacdcfeaagaacdecbedacbcdfbaaeacfcdfbeacbdbcdgaaaffbaceaddcaddcceaedeabdbcebaafcfbccebbeaaebfcebbebcddbcebdbcbbcfcebgacaedacecabfcaeccecebebaeacedbeaccccceecfaaaafcefbafbaccceffaaceaacfbafdddaacfbbeadddacfbfaaafdbcfcbceaecacfccbbbcbfcfdabcbagccgaacefdaacgbfbbgaaacgccebbcaccgdadacabfdaabebegdadaaccgccafdaaeagfbdadaaecafbeddaafcbeacfdaafcdedbbdabagabfbfdabbagbbfedabbfgfaabdaceabbgafdadadeacfcdadcacecdddadcadfgaadadccdcabgdadebbdaeddaeaabcfcfdaebfabbgbdaeccdcacedafacfdaeadafgdabadbdagbaabgbedageabfbcadbagdaadagdbbbcdafgadbbbdgbfabdbcbdabfdddbcfabfbbddbdaabfcbgdbdccadgbbdbeadccgabdbedbcbaeddbededbcbadbeecaaafddbefbagbabdbfebbadccdbgaacdacfdbgaagabfadcacdcabefdcadacbfecdcaecadddcdcccbcgcacdccgbeabaddccgdbdacadcdbbdbfbcdcebgdcaabdcedaeacbddcedbbbadedcefaceabbddabedadcdddadfaabgbddagabaefaddagaccagaddbafbcagbddbagcbafbddbbefaadcddbdbgbadbddbfbcebbbddbgdaabfaddgdcadacaddgebbeaaadecafcadcbdeeaccbcccdefbaddbbbdefdbacaaedegadbcaaddfbacdaeccdfbegabaacdffbeadbaadfgbdadbaadgbaaagebbdgbcafbbcbdgdacfaadadgfgaacaaaeaaecaagfbeaaeeceabdeaagaeabbgeabaacbgfdeaccgaaebdeacfbccfabeadadceaeceadbaagdbeeadbacdagdeadcbgafbaeaddbadadfeafbbaaedeeafebdadbbeagbfcbaadebaebfbcbdebbaeadbcgebbdaccgdaebcbdcgacbebcdccaebdebcebcaafdebdcefcaabebebgacbdaebfdaabagcecaadfcaceecadaabegcecaeaecaceecbadcgbbcecbcfcbebaecbdbaafbfecbecbbcebeccaccbafeecccbdgabbecdbedacdaeceadadceaecfacaaaefecfcebdabaedaaceafccedabbaebgcedacegbcaaedaeabbcededbdagaebaeeaagfcabaeeabdeaddaeebcfbdacaeecbabbcfceedbacbfbbeeeabacebceefacacdcaefbccaacecefgacabccafaaacdfdbdfaaafbfdcbfaaagaaeedfaacacedbffaaeabcfebfaaedcbdbdfaagcbccaefaagdadaebfababfcdfafabbagaadgfabbagcafcfabbcdcdfafabdadefabfabfcbccdbfadaebcaedfafdbabebcfagbcaedbafbaaeecafbfbacabcffbfbbcdaaagefbbcdcafdafbbddccaebfbcaeafadcfbcbbeecbbfbcbecaadefbcgcbcabcfcbdaddbdbfcccccbdbcfccfdaeaabfcdaedbbdafcgacbcdbafcgbccbabcfcgccacadafdacgadbcafdcdbaaeccfdcdfaeaaafdcebadcacfebbcdgaaafedbcaadaefefcaaagaaffbbdabbdcfgbbcabbcdgaaaaaefgbgabcccfadbgadbcbddcbgaddbgbacagaecafbeaagaedabacaggaeddbabdbgagaabafccgagbcbdbbbgagcbabbbegbaaaadedfgbbfcadbcbgbdabeaacfgbdfababafgcababdadggcbbaddceagcbcfcabcbgcdeaabbcdgdaagfacaagdabbecdbbgdacbbbeeagdaceabdadgeaacabbeegeaadabgcagebacafaaegebacgadaagebcbdaabegfaabbdagagfcbbdbdaaaaadgddcagaabbggdafbaabddgeecaaabegdcagbaabgcbbdgdaaccfcffbbaadcgceaecaaddefbgbaaaddfagecaaadgabcecfaaebbbfcdgaaebcfddafaaedgdbagaaaeefgbdaaaaefaeabfeaafabgbdgbaafbagfgaaaafcaageceaafccebcgbaafdbdfdcbaafeaefbaeaafebgagbaaafgacdcebababgafdbgabacbgdcgcabacggacfbabaecdgfacabaeeefdcaabaegacffaabafedddaeabbbfccfecabbdbfgceaabbddgafccabbfadegbcabccaffcgaabcdadffaeabcdaegbecabcfdccdafabdccegebaabdfdaaddfabdggbaaddabefcbcddcabfaeabffcabfaeececbabfbfccecbabgecdgabaacaaedgcgaacaafgfadcacaecedagcacaeeafafdacaeeebgacacafbdedbeacbadeedagacbcadafegacbddbgcebaccdaecddeaccdbdceddaccdebcecdaccfacbfddaccgadfebaacdbagbebfacdbccaeefacdcgagaaeacddfddbadaceabcgacgacfbagcddbacfdcgaeabacfeaecbafacgbdfdbacacgcacecdcadaaccdfgcadaagdbdcfadaccbfbgdadacddegcaadagedbcdbadbabadfffadbcdfbgbbadbdcgfbacadcafadgdbadcbaccdffadcbeefdabadcgcbedacaddfbbgaccadeacgbcdcadedadbagdadeebdcaagadegbccebaadfcdecadbadgadcfcacadgafcfbbaadgedaacfaadgeeaadcbaeacbffeacaeaddebafdaeafedeacbaeagbdafeaaebbdddacgaebbedaaegaebbfaagagaebccgbgbaaebdcddafcaebecdbadfaecbbbddfdaeccdgagaaaecfcaccddaecfccccbdaedagdbbbeaedbgagbbbaedgbdcbbcaeebfccdacaefaadgafaaefbbegabbaegccdaebbafbccabgbfafbfdebaaeafcacadebgafcaebeddbafcbabdfddafccabedecafcdbdaagdafdaafdeadafdcfccdabafebaaefbdaffbadfcacaffcaacgadaffcebecaaaffdfaacbcafffaacaagagbaeeedbaagbdfcaaecagbecagadbagcfabbbedagdbfbabfbbaaafdfefabaaebeddbgbaafdgaedbbaagaggbadbababfgefababdebdaffbabeacggcbbabegbafafbabfaefdeabadbccgdcdbadcadfcbgbadecdbcbgbadegdbafabadgcbbcfcbaebdcfagbbaegbcfdabbafbbafdedbafbebcdgabafdbaeafebafdfaeaafbagaaefcebbbagdeagcabbbdefeeaabbbeadcefcbbbeeeeaccbbccefeabdbbcfebbdfabbdaacceffbbdacebbffbbdcfbbbcgbbdebeafaebbdgabfdadbbedabcgcdbbedcaacegbbfadfbdeabbfaeeeadbbbfbgcaedabbfccdcabgbbgbdbeabfbbgdccagcabcabcbffddbcaccaefbgbcacebfcddbcaebfbcedbcbdfedaccbccfaaedddbccfcafbdcbcdaeedagabcdcadafbgbcdcbaffeabcdfcaebebbcdgbcacddbceacfdecabcedgaabcebcfacacbffbcfbadfaagbcfdcadbfbbcgcbbbcedbdabffacfbbdabgccedbbdbagcffaabdbccacfedbdbfbadbcgbdbgaafgbabdbgacgcbbbdbgbagaebbdccbeafebbddbdgadcbbddbeaabgebddeaadbeebddedfbdaabdfbaefaccbdfbbbcgadbdfbgebacabdfdbcdbccbdffbgaabbbdgabgacbdbdgaeabeaebeaaegbbgabeacbaefgabecabfecdbbecaedafdbbecbbbfagcbeccacdbfdbedaeaebgabedagabdafbedcfcbdacbeefbbcdbbbeefgabcaabefbcacdbebegfccbbbabfaaeebgacbfabcabedgbfaefagabbbfccbcfcadbfcdafcbdbbfcfdeabcabfdcdgacabbfeaacccdebfeacbfadcbffbgbbacbbfgaaecdbbbgabbdbcdfbgabcfdbccbgaeaccbfcbgbaabcfdebgbaabfgdabgbaadfccdbgcbdcfcabbgdagbbabebgebcafcbbcaabggfadacaagbbeafecabbcdgcfbcabeeddfabcabfagbcbfcabgaaeeddcabgebcgbacacaaddgfccadafbegbbcadcaebbegcaeabdgbagcaeaffcacdcaecgedabbcafbggadaacafcgabadecafdaabcgecagabebeebcagacbccfdcagcbccecccaggabbbcecbaagbgcfacbaddaagdfcbaebgcddbcbaegebbcccbagdacbeecbbaddbddgcbbceeafaecbbdebabgecbbdefagbacbcdagaeebcbdadacfdecbdbaffdbccbdbdbcfdccbdeacfddacbdeeacbbfcbeacdbgdbcbeadfebadcbecaedafccbecbcegabcbegbebbadcbfccebddacbfdgceaaacbfecbfcabccadagfcadccaeecbcceccbgbbafebccbgbdadafcccbdcbgeacccdcafadecccgddbdbaccdacbaedgccdafbfafaccdcbccdgaccdccaadefccfacdebbdccgagacdbbccgbdaafeacdaaecdcdecdaafcdbfccdacebbbdgcdacgcaacgcdadbdbeeccdafdbaecdcdageadafacdbbbcfceccdcabadaggcddbgcbdbbcdgaeabccdceadafccbecebcacgdbccebfccaecbcecaedbdeaceccbbafbfcecfcdfaaacedaacgbafcedbbdcdeacedcgbaadccedfbdbbcbcfadbcfafacfaebbabfecfbaafdcfacfbbbdadedcfbbcececacfbddbafcbcfccafgbaacfcdbfbccacfcddafbaccfcdgaabaecfcgcaadbccfggababaccgadbbcfadcgadgabaebcgaedbdeaacgbaagfbbbcgbbabegcacgbdaacfdbdaabgfafcbdaaccefddbdaadgbecccdaaeadfgcadaagcaefcbdabaaefbfedababcfagfdabdacegaedabdgaadeddabedbcdecdabefedadadacaaeefbedacccebceddacdbdeagbdacdeebddadacedbagccdadbgeaafbdadebeacagdadedacdebdadgbgbcbadaebeedeaadaeecebbaedafebeabcddbabdbdfagdbabgdgaaddbaeaebgeadbaeebeabfdbbagdbgbbdbbbbcegdbdbbfabbgfadbbgddfbaadbcaecfecadbcbdeabfddbcbfccccddbccbeafdcdbccgbdfaadbcdbfcagadbcfbeabagdbcfddfbaadbdcaeegaadbdccaeadfdbeaabbgeddbebbbdcgbdbebdgbccadbgacdbcfadbggbafabadcabagdeaedcacgbadcedcadfeaabfdcbaaagddfdcbeadacfddcbgbbaecddccageacaedcccbgbaecdcccbgfaacdccdbdfdbadccddaafdcdccfcbccdbdccffbaadcdcdbbafdfadceafbgcaadcfbbccaeddcgddaeabbddaccdfadcddbafacbdfddbbcfcdadddbeedbdbadddbbcfabedddccecaccddfcbbdbaedeaadcbceedeabdaeddcdeacfccaafdebaacfaeedebgcdadabdecccceadbdeceafcaaddecebbfcabdedadgbdaadeddabdagadedgbbdaacdeeecadcbadfaacabdfedfaadaefaddfabfaeafadfafcafbcadfbacfbebbdfbcbebceadfcbdbafbcdfccaeabgadfceaaagbcdfecfbbabbdfecfeaaaadgaaedccbcdgabgbaceadgaceabbfbdgacgaaceadgbfbaaagbdgcdaadcaedgcfceaabadgebaeadacdgfbdaaaafeaagfdabcceacadbafeeeaceebabfceacgacbdbeeadabaffebeaeaedbdcceaeafafebaeaebcebdcceaecaeccafeafaaabgbgeafbfdabcceagaagcdcaeagcdbbceaebaacfdaeeebabfcbfaeebabgeaafcebbcafbcdeebbddbbfeaebbfacaffaebbfbdbbecebcafdcceaebccbbdcdeebceeaacceebcgacbcbeebdabgaagcebebfaeaaeebfabdddadebfadcebbcebfcgabdabecaacaggcbecaaddbefbecabbcgafcecaccdcedbecaccedddaecaeccbcceecbcdeafcaecbcdeccdaecbddadbbfecbdeedbabeccbdcecadecdafbdbccecdcafcaebecfaaecdadecgbbaecbcedaaaecbdgedacacebededaefbbebaedbfacaeeaedcbadbcededcbdgaccaeddbaaebededdeaaccdcedeafbcbadeeaaedebcbeeacbcbbcgeeacgacbaeeeadbfbbdbeeafbdbaebeebbeadcdbeebcadbgcaeebcegababeecddabeaceecddadadbeedababeageedaecaecaeeeddaaaafeegaaafcacefcacfdbabefcbbdaacfefdbdcdbabefebgacabaegabaabdfdegfdaeaaabfaaafdcadffaacafcbdffabddacfccfabfcdacfafabfecdadafacebbedadfacfbdbacefaddabecebfadfafbcbbfadgcdbadafafbbbcgbbfagabdfbbbfbaacdaefdfbbabgfbadfbbbbgdebafbbddafaebfbcdabgcdafbdaaegdabfbededacbafbfaaaaggafbfaedadbbfcabbagbdefcabcbcdcffcbbafddadfcbdcbgbbbfcbdgbdbbafccgabbaagfcedaafbdafceeaacaecfcfabacdcdfcgacbcaebfdaaedceacfdabbagaedfdafabeadcfdageabaaefdbaabceedfdcbbafaecfddabbeafbfdfcbafbabfebbaafgbafeddcccabbfefaddbbabfefbacaaecfegbaaecbaffaaadceeaffadedacabffafaadccbffbdbbbbafffbddabebafgaecbeaabfgccacceaagaacaegafagaacafbfdbgaadbfafbcgaaedcaebdgababdeeeagabaceaddegabfbafabegacddeafaagacfacbdbdgadaaecadfgafcacbdeagagbdcbaeagbaaadfadfgbacedcbccgbbeacedacgbeafcadbbgbebdeabdagcaaddadecgcacgabaecgcafbdcaaegcdcaaebcdgcfacacddagdabecbbcdgdbaafbebcgdeacaeccageacbabdecgeccdaaecageceaafacageddcbccaageebcabccbgfagbabccagfbbdbcadbgfcbadbfaagfdabbbceagffabaccbbggabgbaadaaaagebadegaabaaecgfgaabaffcegbaabbafcfffaabdfbfccfaabfcbbfdgaabgeceacfaacbebggeaaacfbfeadeaacgbegdbbaadeafeagcaadeddgdcaaaeabaffdgaaeadgfcbdaaeeeaecfbaafaecfdfaaafdbebdcfaafdbfbdagaafgadecaeaagcefbceaaagcggbaadabadgdbgccabaffdgdababbbgdafgbabbeafdfdcabbegacddeabbfgbcbfcabbfgcfeaaabcecaecfeabcecfcedbabddeacafgabebdddcfcabecfgbaebabedbcfedbabedbefdcbabfaefaecdabfcddbdagabffdfbdababgeagbbfaacaacfcgedacacfbdfecacadgdbfaeacbbdcgbcgacbdagefdaacbdefdbfaacbfbdbagfacbgacgbagaccbcgeeadacccbgddbeacccdecebeaccdbagfebaccddgaeaeaccfccfeacaccffceccaaccgabfdfaacdadccdgdacdcagaecfacddeebabgacdfcgbebaacdgegcbaaaceaceadgdaceagecabfacecbbgfadacfbfbdbbfacfbgcbgabacfcdceceaacgdbbagdcacgedaaecdadaadeffaeadacdfgbaeadbcbgdedbadbcecfdccadbdacfbefadbebafbfeadbfcfbbgaadcadagceeadcbecedcdadccafdebeadcfceceacaddadafageaddadebcdfaddbfbdeccadddcfadafaddfagdbbcadeadfgaadadebeeedabadecbbdfebadfdagfabbadgdgbacadaeaafebgbdaeaccgdebcaeagagccccaebafafcfcaecaefccafaecafeacedaecfbacfcdaecfbdbfcbaedfbedadbaedfbgebaaaedggabaeaaeeecagdbaaefaaafddeaefeaaafddaegbcbfbeaaegdagbadbafaaedaegcafabcfaafgafabgcbcfcafacdccfcdafbabfceecafbcdafeaeafbdedbdaeafbeaabcgfafcccdefabafccdbcccfafcfacbcdeafdbeebafbafdebfbbaeafeacddfacafeaceaadgaffbagcbaeafffacccdaagaaefedcaagabafbeedagabeaccefagabfdaccfagacadaefeagacaddffaagadbfecdaagadfaaccgagagbacfaeagbbcfcdccagbfacbcdeagbgadcfbaagcafdbdeaagcbaebageagcbafdaedagcdebafbcagdgadaaecagdgbacecabaabcdgagfbaacfcfcfcbaadbfcfedbaaebcgffabaaecdgadfbabbfdceedbabdgfcbfabacaccdegebacccaedegbacccffcbebacdceeebdbaceaefbdebacgacbbgfbacgbbefaebaddedafdcbaddgfbadcbaedgdbfbabaeebfbfdabafaagdbfdbafafdaagebafcbcfeeabafceagafbbafdfcbfcabafeececbbbagaabeeeebagabdedcebagcdecceabaggbccbebbbacdccefebbafcdgcbdbbagcdacefbbbcgddadebbbdgadebebbbfgbdaagbbbgdbcbfdbbcbafgcagbbccbaebggbbcfcafafdbbdacedaegbbdbgcceccbbdeggaadabbdfbcdadfbbeabgfbebbbeaffdacdbbedcdabfebbefffabcabbfdgbfbbabbfgbeddaabbgbdcebdcbbgbeacedcbcabcdgeafbcacadgfafbcaebaeefdbcaecggbbbbcafdaagbgbcagabdfgabcbadfdcedbcbbgfabfcbcbeafcdbfbccbeadbegbcccbafgbebccdfbgadbbccedabcefbccfcecafbbccgagbgaabcdbgabebfbcdddaagbfbcdgebbagabcecbdfecabceeecdccabcfbecagadbcfcbbdaefbcfcbeecbcbcfedeacbcbcgcaadbdgbcggadbebabdadaegdeabdbagabfgbbdbccdececbdbgdbfbcbbdcgabgccbbddaaefeccbddadgcaagbdddcfafacbdeadebdebbdecabbcffbdecfcbdcbbdecfdbccbbdfaeadfbcbdfeacfcbbbdfebebebabdgccbgcabbeabbdbgdebeabfdcdbebeafbcbgccbeafbdacdfbeagbeagacbebefcdcacbecaccadegbecdbebbdebedaagceeabeeeagcdaabeeedebbacbeffafacacbeffdbcadabegccbeaaebfaaaaeffebfaccdfgaabfadbffcacbfaeafabgcbfafbgafabbfagbbbdagbfbbeaffcabfbcfbcbcebfcccbddebbfccdbgccabfcfadbccdbfcgacddbbbfdabacecgbfdaedcafbbfdbebfaccbfddccfaadbffgcaadcabgabbeaffbbgabfabddebgcfadgababgdcgaeacabgdfcebbabbgecacaagdbgeeacabcebgfdaeaabebggadabbgabggbabadecbggddabcaccaaaebdcggcaacecfgadcaacgdbbfecaaeagdfcccabeddafgacabfacfdddcaccfdadcfcacdfcfcbccadaddgedacaddbcdbgdcadedgaddacadgdbadcecafagedcbbcafcdagfabcafedaecbdcaffbcacdecagbeeddabcagdaeabeecbaegdgbabcbafabgadgcbafegddaacbbeecbbgccbbfaegbbdcbbgecbfcacbceebbafecbcfbacffbcbddbcbcdgcbddeafcaecbdfafdbdbcbeadfefaacbebgdgbaacbeedabagdcbfagedbcacbfbfcadbecbfgbdaddacbgceceaadccabefbcfcccacgccbfcccadafcdfcccaecbgeadccbeeacebeccbfccacdfccbfebccdcccbgadbcdeccccfacfdbccdbaeebgbcceabeebceccebbecaeeccecbbceddccedaadgdbcceffdaacbccfbcecaagccgafbcaecccgafdacdbccgdcaebeacdaafbgacfcdacfgeabbcdafageacccdbaagdfbdcdbbefabdecdcacecdddcdcfafbceacddbbccfebcddbcadcfdcddcbabegccddcbafbcfcdddcfabfacddfaadedbcdeaacaffdcdebbefdbaceadeaeddbceadgfaccaceafbeadbecebagcbdbecebbeebafccebcgcddbacebdbfeaeacebdeadcdccebfeabebccedadgbaebceebaadccgceebcabfdccefaebaebdcegeacdbaccfbacafagdcfbaccceddcfbbafceeacfbbeeddbacfbcbfddaccfdbcfcccacfdggbaaabcfedfbacaccffbabbgdacffbdbbddacgacccafbecgacfdccaccgadbaebcfcgaeabgdaccgbcagebbbcgcbcbabgdcgfcacbaddcggadaecabdaaacdbggddaaecefdcbdaaffdgabbdabccbdegcdabcebfcdddabeeafagbdabfbeccdddabfcaagcfdacaaggbecdacaaggcdcdacdgfcabcdacefbcadedacfbaddeddacffdcbaddadacfaafgdadcdcgabedadegaagbbdaebbadedfdaecbceaeedaecfccdaddafabdgfabdafbebdcfadafdaebafddbaebfecbddbaefeaafcdbaegdabgadbafbfcgbadbagfbdacddbbagbaedfdbbcdcfcbedbbdffdcbadbcbecdccedbcdgbdacddbcgfecbaadbdadcfddbdbdecbegaadbdfcabgdadbeagdebcadbedbcedbcdbfgecaacbdcadegbccbdcaebedecbdcaeeageabdcafbdaeagdcaffbadbedcbabgebcedcbbceebgadcbbddbcdfdcbbecbegadcbcdedbfadcbceadfeadccaedcedbdccbacadfgdccecaebdddccgdabccddcebcadafedcebedfaacdcebgdaacddcecbbcdecdceecbacecdcgagbdadaddafbfagbaddbadggcaaddbeccdbbeddcadbgbfaddcbbcfacfddcdcefcaaddcedbadfaddcgbcaedadddbagaebddddbagbbbfdddcbbcgbcddddbcecbcddddgcaeaadddfaaagbddddgacfabbddebcgbccadeaaafcbefdeacefaceadeaeagecbadebbafbfccdebdaabfbgdebfbaebebdecaffabbddecbcbaddfdecbfeacaddecdbeadeadedagbaeaddeebaedaafdfbedbaadedfbgeaaebadfcacbafcedfcbabgdcbdfccgbadbbdfdeabgbabdfgabbeaaedgabadbgeadgaedccbaddgbafdabafdgbfbbbacedgcbcdbeacdgccfbaaafdgddeccaabdgebbbcaecdgecdabadceaaabdgeddeaacegaafdeaagdageabeaaggcbbeaeabbffeccaeabcgabceeeacagadafeeaccedbddceaccfccebceacdbgdbbdeacdcbagageadaagaddfeadfabgacdeadfbeagbaeaeaadgddbeaefbcadbeeaefddabdbeafbafcgabeafebafbdbeagafdaecaebaacddbffebacdgebdaebadagfcdaebadeecbcdebbcdedcdbebbgcfbeaaebcabeebfcebceaafdebebcefdcaadebdbdadgdaebeacfdbeaebecdacdebebgecdcaacecabagcdagecacdgdabdecaedfdbbbecbbagdddbecbeafeaaeeccaafgcbceccabbbffdeccadcadcgecdaabaffeecdbcbdddcecddagebbaececdbbbbfecgfbdbbabecgfcbbbcaedaddfaagaedbabcgbagedbbdbdgacedbeeaaaeeedcaeadbgbedcdabgeabedcdecbbdbedcgaaacbgeddbcaacefedeadbbeeaededebbcbbedededbabbedffbcabadeeabfdbccceeadcbbefaeeaeccafadeeaeeadfaaeeafbgbabceeafcbgbbaeebbcabcefeebbfadcbdeecdefaabbeeceaccceaeecefcaabceecgbbbaafeefadddcaaefaaddafbdefbcaabgdcefbcaceceaefcaadecaeefcbbceafaefdbabbefaefeccadbdaefgaaeadacegadadbbfbegeadcbbbcegfabadbccegfdaeacaafaabgbdagcfaadedcbfbfaaebfbcecfaafccbcedfaagccaefafaaggaaabgfabbccfagcfabddcdbcefabgbccedafaccegacbcfadbbagafdfaeabecagcfaebaccebffbabaggcadfbabdbeeaffbagedbdbafbbbedcbddfbbcbgcecafbbddeaedafbbfdaadecfbdadeddcafbdafabfbdfbdcfbaadefbefbddacafbfbcfcacbfbgbedabbcfcbadebfadfcbddacdfafcbddbedcafcbfdcbcbcfccbacbgfafccebbadbffcdaacfadefcdddbecabfcdeaafaebfcdedbdabcfceadaafbefcfbbabfaefcgcacebcafcgdaeadbafdabddabgcfdabefebbafdbddedaacfdbgaeaeabfdcadaeecbfdccbeaacffdebabagbdfdeddaadadfdgdbaeacafeaaeccafcfeabdbbccffeabfbafcbfeadfafabbfebfabbdccfebfdabbaefedbbadaedfedbbcbagbfegbaabcbeffabbcgbcbffaffcaacaffbeacddabffbebbccdaffcbbaebbefgaadfbbbcfgacbegaaafgcacacddbfgcaecafaafgdacccbcbfggaabbdacgaagdbafdagabafafgbagabfeaaafdgabfeaabgbgabgecaabegabgfbaacdgacbbcaceggaeaacaggagaedfccaacgafdaaebdcgagafcbaccgagbbbaeebgagfaaebbbgbacabgcecgbagadcafbgbbaecaegagbcbbdaeaggbdadfaabfgbdbdgbbbbgbgabdgaabgbggdabaabgcabadfddbgcacaedbaggcagagabcbgcbbbebdcdgcbbcbdeeagccbdagaccgcccaadaefgccddfabcagcdcbeadbcgcdeddbbabgdaacebbedgdacdfaafagdbacaagcegdbafccbccgdbbccddbcgdbbcebaaggdbcaagbebgdbcecbccbgddaabgbeagddaadccebgdebceabadgdeccbaaecgeaaabcddfgeaabagcbegebaeaaeebgebafabagbgedaacgbacgedceacacbgeebbbaecbgfaacfbebagfbdaaaccfgfdaabdbebgfgacbeaaaggcfcaabcaaaacbgdeefaaadfcgdddaaaffeagbeaaagegcbecaabfebfgdaaabgbecdfdaacbdggbceaacecgebagaaceeabegeaacfegbddbaaddffdfbaaaebffbgbcaaeffeadaeaaegcbefbcaaegcecfcaaafbbgbcfeaafceafbgcaafdaegaedaagccgaagdaagegabeeaaagffbfcbaabafbaefdgabafeeddbeabbcdgbcfeabbeeadfedabbeecccgdabbfbfecagabbgbcecdfabbggaagafabcagdgadeabcddbeedeabcfbcecdfabdfgeadbcabefbbcecfabfagaedddabfbcbfdedabfcedabefabfgagadeaabgbecadeeabgebgecbaacaaecgfagacabaggddeacabgegddaacacdefgbcacadagfedcacaffcbfafacbdebfbfdacbeaeccegacbegcecccacbffcdcbeacccgadbefaccdbegecbaccdbfedcdaccececcbgacceeebcbfacdaaadgfgacdbgbafgbacddgdeaaeacecbdbgbfacecfgbcdaacfagbgafaacfebeeaafacfeeaaeagacfeeeeaacacffbbecafacgaeadfebacgbbeagafacgcebedadacgeaeaagdadaadabgggadabgdddagadbadaeegeadbbgaddcgadbcfbbaggadcbdaffgaadccfeadddadcdbdeefaadcfaggbacadcgcabegbaddabceffcadeccbagedadfadbecfcadgaagcbgbadgabgbcbfadgadbfedaadgdbbafgaadgdbbagcdadgdeaabcgadgebaacgdadggcbbfbaaeaafcdcgdaeadcfcgcbaeaebdbfcfaebbabdggdaebcfgccbcaebfacbffcaeccaafcffaecdcbeefaaecebcdcdeaecegbbcebaecfaaededaecgdeadbcaecggbcabdaedadgadagaeeacbdfbfaeebgcbdeaaefacedfcaaefagcccbdaefdbcbebeaefeaeadebaefeecbccbaegbadddebafaabdeaggafabefdfbbafabgadcdfafadbbafgeafadeafcecafadfbfecaafafaegaebafbabgbgebafbbadcgdeafbccbdcgdafbfbefadbafcaeabgfcafcdcgfcaaafdacbffaeafdbagbdddafdeeafccaafdfacafdcafdgdafacbafdgeabaagafeacacedfafebagddbcaffbbfdbeaaffdbcdceaaffefcaaccafgefeaabaagacafgceaagacecfgaaagafcdbacgagafgcbafaagbagaaggaagbcgeacccagbfcaedccagcbedfbadagccdbbbefagcdcgbaafagcfdadcaeagdacebgdaagdbadgaddagdbfaeecaagddagabfbageacfcaagaggbdccdbbbaadgecafebaagabgcefbabdbefdfcbabeddcagfbacaafgebgbacegcabfebacgaagdcfbacgedbadfbacgfbcfdabadacdfgdcbadcbgfbbfbaeadccfdfbaedddeedabaegccbedcbafabfcdfdbafddbcdfcbagbaegacfbagdbfcbagbagdcegbcabagdfafebabagdfdaebcbbaagdgfbcbbabfebfcfbbacdgbfgabbadcccgfdbbadeeddagbbafdbbfeebbbfbadfgcbbbgbfcccebbcbfcfdbebbccgbgagabbcegdbbbfbbcfdafgacbbdbbdffafbbdgcacdbgbbeaeccecfbbebgcafebbbedgebcdabbeegagbcabbfafabcegbbfbabfcefbbfcddeeacbbfdfcecacbbfeecbdbdbbgbfbcbfcbbggeaagabbcaaeecddgbcacbfgbdebcaddcfdddbcaecgdcfabcagaagdgbbcbcgcaffbbcbfagageabcbgcegbcabcdbaacfgfbcdcdafgbcbcdcdbccfebcddabgfeabcdecafgacbcecfaagafbcfadadddfbcfecdabfcbcfffcadacbcgcbccgcbbcgcbcfcdbbcgcbedagabcggaeadadbdaagcgcafbdacbegdafbdadcagdbgbdadeddedbbdadgcagccbdadgfccadbdafbbdddfbdafefaadebdagdacgbdbdbafgaedcbdbbbfdeecbdbbggceabbdbdcfbbcgbdbedbecfbbdbefeadbdbdbfebgcacbdbgcadbgcbdcadgeaddbdccbgdbagbdcfaebecdbdcgfbbdadbddbeeacdebddcccbegbbdeabafgfabdedcceceabdeedcbccdbdfgcbebbbbdgaaececdbdgcffabbbbdgeacedcabdggcbaacebeaadgedbdbeabbfadegbeabfdbgeabeafcceccdbebccafffabebccfbfbdbebedfeacbbebfbdgbdabecabebgagbeccagdcdcbecdcccecdbececdeccbbedagadafdbedeaabegcbeeecbbdebbefdfcccbabegbbeadafbegceadbaebegdcaccbebfabeaaffebfaccbfcdebfadggbcbabfaebgcafbbfbbeecbbfbfbfcccedabfcaedbgadbfcbbcdebfbfcbceeecabfcdbebbfcbfcfeccdbabfdedaecadbfdfbcebadbfedaacceebffccedcabbffcfcbeaabffdbaafbebffeabbeeabgabagfbfabgagffaacabgbecagdbbbgcegbebaabgfbaddbdcbgfdbcagabcaabfefddccaacaefgcecaacebecffcaacegddfacaaedfcgdacaagfedbcccabbgabgeecabcbafgdfcacabbggbgcacbgddcfbcacefaaggacacfbagbdfcadbeddfbdcadbgbfdcccadcdcdeeccaddeegbaccadecbbdefcaeafdbgbdcaebbfdgdacaebefedbbcaedccbfcecaeddagedacafcafedbdcafdabcdgdcafgbcacdecagebeebdacageefeaaacbacdfeebdcbadcafbfgcbadcgagafcbaddaeeeecbaeggbcdacbbaggadgacbbcedcdcfcbbebbggbccbbgcddagbcbbgcfcecacbbgeaeedacbcafadgfbcbccaefbeecbccgeaceccbcgabecfccbcgdbfabecbdeeceacdcbebbfcaefcbebcebbfecbecagaefbcbedacegbccbefgbaebbcbfacebddecbfcdeafbccbfdedbgaacbffebbaagcbgbaefbebccabcbfecgccabfafbdgccaebbegfaccafcbebfdccagfeebabccbaeedcbgccbegdabbfccbfedbagbccbgbcbfafcccaccefagcccbbgbgcccccccfccfbcccddgcdcacccegaeafacccgfadcdaccdafcbbfeccdfdcafcbccecacfeeaccffbbeafaccgcbgcdbaccgebccdbccdabgdbadgcdacdgabgccdaebdbafgcdafabecgccdbbeafbdfcdbcaafdefcdbgfccbcbcdcdgccbeacdcecabeedcdcgfbcdabcddacccbegcddaedeabfcddbbbfdagcddbffbacdcddfcfaabecdeabcgbbfcdeffcacbbcdfaacfagccdfeceacadcdgafaebcccdgbaabegccdgccacdafcdgdebabafcdgedaaagbceaebabcfgcebacedeebcebbbcgdcdcebdbfdabfcebefcabddcecaccebfdcecbdddgabcecbeeccbdcedaecgaaecedafbdbgacedcfcbfbacedeafbebbceebdbdacfceegcacaafceggaacdbbcfaaccdgdccfaagdbdfacfabgcfdbacfaddfbeaccfaeddccbdcfbacfcebdcfccafbgaccfcdaecgabcfdfcdbbbccfebecdbcbcfegabcfaacffcaacgcbcfgaefaabccfgcdeabbbcgabceebbecgaddebcdbcgafabfceacgbbgdbadccgbcbacfagcgcbdbcafdcgccbdcdbdcgcdbceaebcgdbceecbacgdcabbdgbcgdcgbcabccgddcdcbdacgeadaebebcgedaebdbbcgegaecbaacgfacbfbadcggbecbadadaadcddfgadabdaefgcbdabecfeceadabfccgfbadabgbdeagbdadbfafbeddaddfcdaecdadeddabgcdadgbacecedaebeedaecdaecbgbfbcdaeddgacdbdaeeacceecdaefbaecbfdafbabeefcdafbcaecfddafcbgbbbfdafceabdeddafdbbbecfdafdeecaccdafefebadadagadafdebdagafgbbcbdagcbabbfgdagdfacbdcdbadagcdfcdbbbgebfcbdbbcfcgbdbdbbdecaededbbegbecdadbbgebacbgdbbgedbceadbbgfdacdbdbcagcdbgbdbcbbadeegdbcbbdgbcfdbcbbffdbddbcdadcgdcdbcgbabfecdbcgdacfbcdbdadgadgadbdccdcebedbdcecgbdadbdeadcceddbdgagbbaedbeacgdddadbecbfdfbadbeebdaebedbfcbcddbedbfdabcbfedbfebdebdadbfefddbaadcaaddccegdcadadbdffdcagdeabcedcbaagcfdddcbacdeegadcbaefbbdfdcbbcaceegdcbbfcaededccbgbfcbcdccccgcfbadcdccebcgadcdeacebfbdcdfcebebadcfaddebbddcgabbdcedddaaaagfgcddaagedaddddacfebbceddadcfdcccddbagdbcecddbcbegeabddbcfaebfbddbebfdaafddbfbebfacddcaedageaddcbeaeeaeddcfbbccbfdddccaefbcdddccbfbdcdddgbbacceddeccdcbebddffcbcabddeacaaeefddebcbgedbadebcdacbgddecabdcceedeceacbadgdecgbbaccededacddbecdedaeaffbadefcccbbfadfabacddfddfaedfaebadfagbbadecdfbaaegabfdfbbafaegadfbcfcgbaadfbfaedbdadfccaaagfcdfdbdeabcddfeadaeeacdfebdccacddfedbeabdbdfgaaaeddbdfgabdabagdfgdeaaaaedgabfccbebdgadebbacfdgbdafacfadgbeaccafcdgbgadbacddgcbbcaagedgccddbeabdgeaccbbeceaaccdfgcbeaaceadeeeeaaegdaceceabcgdbceceabebdadgdeabedcfagaeabgbfddaceacacefdafeadcbdfcafeadccdeadeeaddegfaaaeaeagfcccaeaecbdaegbeaecdecabfeaefaefcbaeafbageebaeagcaaeedceagcaafdbeebaaadgfecebaaagadgfebaceedfacebadecdbedebaegadacfebafbgbabgebagcagbafebbacfcbefebbcafddceebbcegbfbaebbedcabfeebbegdaecaebcbfddaagebcdgcbcbdebcfgaaedaebdaddddcdebdbdgagbaebdceadbbgebeafeadeaebebfbecdaebeeaddcdbebfbbbgbfaebgdaccbddebgfcdbabcecaaaceeefecaacaedffecacdbfgcaecafdfddaaeccabfbgdbeccdaegdbaeceaebbgadeceagccebaecfcffababecgcaafcbdecgdaaceccedaaadagfeedaabdcedfedaagbbbgdedaagcedbcedabeacdeeedafbceaceedcaadeafeedcafebbfaeddccefbabedddadcdeaeddedbbeacedeadacbdfedecdabgcaedegacdaadedfbbcfadbedgabadbcfedgadccabeeeaageadbdeeabdcdgbbeeafadaecdeebcfbacgaeebdaacfceeecddabeeaeecedbbcaeeedaeceaaeeegacdbadceegcabaebdefaadgeabcefbabafgcbefbgaeaadcefccddcbcbefdefbabbbefeadadbcdeffaecaaafeffebdcaabefgeaacaeaegabbbaegcegadacdcdcegaebbgbbbegbagceaacegbbadaegaegbfbgacaaegcacbeebbegcafdabaeeggacbbabefaabfebgbcfaacbgaegbfaacdbfcbgfababffdaffabadgaceefabagbagfbfabccfbdecfabefadedafabgbfbbdcfacbabeecgfacbdbdegafacdedbbgafadaedfcdafadbgcbbecfaebfdagabfaecbagbddfaefacebbdfafddccdacfaffcacabffagddbabbffagebacbfbfbabcfbceefbabdfdecbfbabecgafbfbafacfebcfbafdgebaafbbbebgdcbfbbcadfbfcfbbcbdbbgefbcaccfcbffbccbebcgbfbcdcdadfbfbdabbdcdgfbdagcbbagfbdcfbgbabfbebfcedaafbfceebdaafbfgaabcdcfcabafbgfafcafgcdbbafcbaafgaecfcbbbabdfgfcbbcdagcdfcbdbbagecfcbdgacbcdfcbeaccgcbfcbgcfcbbafceacaeeccfceacdcebcfcebafccbdfcecabgacdfdafaccgbbfdbaeffbbafdbbgaccebfdbddbcdbdfdbeebbfabfdcbaegbbcfdcccbbdecfdccdbcdbdfdcdacecccfdcfgdaabafdecbabfdbfdefbacebafdfadbfbacfdfbccaabgfdgfbafaaafeacbbbdcgfeadacaffbfebabbeefafebcaebeeafebcceedaafebgdcadabfecedccaadfecgdbcaacfeecccabaffeefeabbabffaaadedcdffabfbccdbffacbgcdbaffafbbddbbffbabdbdfbffbabgbbbeffbcdgdaaaffbffaeaaaffcadaaccgffcbbagaafffdacadbddfgacdccaebfgadbeabdcfgafdcbadafgbadcfcabfgbccbgabbfgbebcfabafgccaaafaffgddaababgfgdddcbcaafgfaeaaafagaabdbgdbegaadcdafbfgaaeddbdcdgabccedgbagabcdfacaggabeafdabfgabgadbcecgacabcfcgbgacadfacdegaccbfedbbgacdceafbcgadabfgaccgadbcbbcdggaeccdceacgaeecdccbbgaefaecccagafagafadagafbcaeedagagecaabbfgbaeacaecggbagebagbagbbbabcgdegbbfacadgbgbbfcaeceagbcbbgagcagbcgafacbcgbddaecdbcgbddeeaadbgcacgbabedgcdbfaebdagcdcdacedagcecdcbcdagcedbeebaagcgeacaadcgdabddbbdegdaebfcbadgdbaefaebbgdbfcabbcegddaaaefeagddebcbbaegdgbabbacfgeaacgbafbgeaccgacdageadcbaefageaebacdcdgebeaedadagecafcbeabgecbagbcdagedcbgbbbagegeaabdbagfabafbcfagfabcedaeagfadaaccedgfadabaffagfbdaacaeegfcbdaeadbgfcddcaaaegfecaadeabggaagdadabggafbbbacdggbadebdabggdebababdggfaabbgaaggfabaacbeaaaefbfebgaaafebfbgeaabagceefeaabbffcgddaabdgbegcdaabedgffacaabefadgfcaabffddafeaabgdffbcdaadccgbcegaadcgdaaggaadgdbdbfeaadgeccafeaaeccggddaaaeeedgcdaaafbecafgdaafbfdeeeaaagadcbfgdaagbcbagffaagbdgfbccaagcebbaggaagcecbfbfaagcfaeccfaagcfdecccabaagedcgeabagaaggfcabbdbcdegfabccaedffeabccfbfgccabcgdacfbgabdafffcebabdccagdfeabeaffdcceabecegcagbabfaafdfcfabfbfacggaabfdaebgfbabfecacgddabgafggbababgbabecfgabggfaeccaacbfdebfcdaccdacgefcaccfabdeefaccfdbccefaccgccagagaccggbcbecaccggedbbbacdagddcfcacdcadefdeacdcccdfdeacdeccdefbacdfbfeaecacebefecaeacedddcagdacegacecddacegedbbdcacfbaefeebacfbdcbgbfacfcfaaecgacfggacbbdacgdaadffcacgdbffeaaadaagdafefadabffgbdcadbdceddbgadbebdggacadcbcgbcdgadccebgddcadceaddfecaddcafeebeadddgedaaeaddebabdgfaddfadedfaadeafbfcgaadeeafcgbbadfbadegdbadfdbebebeadgacbcdefadgafffacaadgdabacgfadgdgcfabaadggcedaacaeabdfcffbaeabfeecbfaeagcacfcfaebbeeafbgaebfbeddfaaebfeaceddaebgbbcfgaaecadebgceaedddcfdadaedeabcdfeaeeafdafafaeecaedfbdaeedeacdagaeeeccebcdaeefbdaafeaeegfbbdbbaefdagddacaeffcbcbbfaegbcddfcaaegbddcbecaegeddbbeaaegfacbcddafaedfgacbafafdecedaafcbbgacdgafccagfafbafccgabeagafcdcdgaebafceecfbcbafdaffgbbaafefagbdbbafefbbdacfafegdaacfbaffagafcdaaffcbaaegdaffceabcbgafgaaeccdeafgebcbaedagabaffafeagabcgebagagabfadcefagacgddbfaagafagabdfagagagebadagbacabgffagbbcfdebdagbcbdebdfagbdcbgcafagcdfacedbagdadbaefeagdbbdceceagdbbfcdebagdbdbdeafagdfcccbcdageabffdbbagebdcaaffageccebdccagfaaccgcdagfabafccfagfgafbbcaaggceaabedagggdabbadbaafabegfebaagcfgcbdbabddafgfcbabgbafedfbabgcfafcebabgdfbfaebabgfdaeecbacfcafefcbacgbcbgcfbadaagggaebadggacaeebaecdgacdfbaecfedcafbaeegbbfdbbafcedbcgcbafdaacefgbagbbcdbgfbagbfbgafbbagcgbcadfbagfbaebdfbbaaeeegddbbabgedegabbaccfdcegbbaedgaedebbafbebgdebbafcfgbfabbbbdggbagbbbcefcdbgbbbdacgbfgbbbfadgaefbbcfgcaebebbcgdgaedabbdaadgfdebbddgbcgcbbbdeebfbfbbbdgcfbbcebbecadddfebbeedgaadebbfadeagagbbfbffeeaabbfcafbgebbbfccgadagbbfdeaddecbbgebefaccbbggbadcecbcabfeeefabcaeeadeeebcbabagegfbcbbbeeffcbcbbdeedfcbcbcdefeaebccabfdgddbccebeabgfbccffafcdbbccgbefcdabcdacagefdbcdaebfgdbbcdcdedagcbcdebfeaddbcdegadcdcbcdfdgaacebcdffgbaadbceadgfbaebcebedfbfabcfaedcdgabcfbdgbfcabcfcbcdddebcfccafebebcfedagafabcffabaffcbcffeabebdbcgbbaggadbdaebfaddgbdaedgacgbbdafacgadgbdafgceafabdbbcgfcbebdbdbbddegbdbeafddgabdbfaffddabdbfegbebabdcedeafccbdcfgacdbdbdcgfafcacbddadgadedbddbgbfddabddcdcbfecbddgadbdddbddgeaceadbdedeaeccdbdedebbeafbdeebaagcfbdefeadcdbbdfbbcfbgbbdfbbffadcbdfdeecaaebdgcdadbdebdgcdcbfdabdgdaadgbdbdgdgabcdbbeadedaagfbeaegfcbcbbebacdfdedbecbabefeebececdbadgbecececcbebecfdebbcdbecgbgcaaebedaedbeagbedbdfaagdbedccabggbbeddebdbfbbeddebddaebeddeeaddbbeddfbedcabeecdbbcfdbeegbcaebdbefabddfdbbefafabfcdbefbcagafcbegbdcagadbegegbcbabbfaabfdfcebfbabfgddbbfbafccfdcbfbceadbdgbfbcgbbgadbfbfdcbbfcbfccaafgfabfcceaeccebfcdeceacdbfdcbffaccbfddafbacgbfdeagdaccbfdefaeeaabfebbddgacbfebcbcffabfebgabgacbfecedbceabfedabbdcgbfedafafbcbffbfdadcbbffcgcbdbabfgaabedcebfgbagdaaebfgbgbdadabfgdddacadbgaaecfcfbbgabfbceagbgacabfffbbgbaceefcbbgbacfdeeabgbaddfafcbgbdccacgdbgbdccdccebgbfbbfcdbbgcaddaeedbgcaecbdbgbgcdagcebbbgcecbddeabgdaaagdfcbgdbcfgbbabgdcbcdebdbgdedcebacbgdeedabbdbgeeccabagbgfagebbcacabafefecdcabdaaffegcabdeaffbfcabebfbfbgcabfaeefbecaccdbeefdcacdbdcgfccacdcbgefbcacdgdfbdbcacefaagdecadbdaffbgcadcfaeececadffaccdecadgddafeacaeadgccbgcaedbbgcdecaedeeafaecaefcaccefcaefgadcbdcafaddegcbcafcgaeagbcafdaebdgccaffcagdadcagcgccbebcagfaccafecbabffccfdcbacdfbedfcbaceebfedcbadgdcbdfcbaedecgcccbbeabfgddcbbfedbgcbcbbgeaadefcbccaaegdgcbcdddagcecbdbfeddcccbdcafafeecbdcgagfabcbdgccccbfcbedecfccbcbeegdabdccbfbebcbdgcbfdcaegadcbgafaddbfcbgagaeeadcbggbadecbccaaeeedcfccadfggabbccaebfdgdaccaedgecbcccbddbdgbeccbdfddagbcccbbbgefccccbcagebgccceafaagfccdaedcececcdbaddeeeccdgcdccaeccebedgcacccfabeefbcccfdadafecccfdgadbeaccfgcafbcbccgcdcacdecdabggcfabcdacacbgffcdafcdgbaecdbbbfgabgcdbdcgadbfcdbecdaegbcdbgebaedccdcbcffafbcdccgceabecdcdebdfdacdcdfaaedecdcebebbeecdcffaebeacddaagecddcddcaccefdcddcedcbagcdddbbagdecddebeedaccddgaaegaccdeegaacbecdegfbbbbccdfaaddeagcdfcabcdcgcdfdcadgbbcdgccacebeceabgdegaaceacgceaceceafafcbedceagbfeaeacebbecddeccebdcccgbdcebeceadgacecbabcgfdcecbfaeecccecbfccafdceccbdcebfcecccfagdacedecdadafcedgbcbabgceeaaafdgcceeeaaaffcceeeabfcdbcefaacdgeacefaebbgcbcefcbedbeacefeeacbbdcegaagedabcegbebadcdceggbaaddbcfafaaebgdcfbcbbagdfcfcbdddacfcfccbacgagcfcedcaebdcfegbbagbacffadcadgacffadcbcagcfgeccbacccgaaabeedgcgbaabefdecgbdaeeaeccgbgdbbfbacgdcafecaccgdccdafadcgecbeacfacgefaeacadcgfccfdbaacgffbfababcggbabeebbdaaaggfcccdaabgcaeffdabbeebeeedabcfgdbebdabdagccefdabdcdggacdacdcdadegdacdfeadbfdadaeeddagdadecdebecdadffbeacddaefdcafeadafagbcgaddafbgaadcgdafcbefcaedafcdcbffadafcfgadbbdafdcdedbcdafeeaacdfdaffbbdcfbdafgacaegadagacggbcadagdbbcebfdbaagddaffdbabgdfcbedbaefefbdadbafdbaefedbbafebededbbccebcgedbbcgdbdbfdbbgageafadbbgddfaccdbcafgafeadbcfbfdeacdbcfeccbfbdbebfeddcadbeddcebebdbeedcbdbedbfdgbbdaddbffbbadbgdbgafadadfdbgcbbfcfadcacdcgddcdcadaffbgbdcadefedacdcbadbcggcdcbaegagbddcbafbcgbfdcbdcefacedcbeccfebcdcbecgbdccdcbfceaaefdcbfgaecdadccbcacgcgdccebbdgdbdccfdbbgdadcdgcaedaddcedbafbgbdcfbdbdbfcdcfcddgbbadcfeadbdafdcffaacdceddaaccdfeeddacagaefdddaegadadeddafbdbdedddafdfabagddbaceagdeddbdcbfbedddcacebdeeddccacbcgfddcfeadabfddcgabagfadddaccdegadddbbegfaadddccaaggbdddcebeagaddeebfdbbbddfbbceedaddgbdbfabdddgbeaafbddeabffdbdbdeaccddbcgdeacdbafeedecbdcegabdecceddafadecgcagacbdedbcbcgbddedfbdbbafdeefccdaaddefbefabcbdefdaafecadegaaeabgcdegaaebfdadfabdadafgdfabfeddbbdfafbgbafadfbcfacbeddfbfadgaaddfbfbbaceedfcdddedaadfdaafdafcdfdaaffbccdfdcabdccfdfdgabbdccdfdgcacaebdfeafacbgadfecbdeadbdfefadaebbdfgdccafaadgabafddfadgadbfecbbdgbcbdaeecdgbcccagaedgbcceebcbdgddacaadgdgddcebcaceaaafegecbeaaageccgceaaccafefeeaaecagbefeaafbffafbeabaacefegeabagadegceabeagdcageabeegfbabeabgfebbcceacaddfefaeaccafbaggeaccfbcgbdeacgbbfebceadaeadedfeadbdbeegaeaddcgeccaeaebabafgfeaeebeccebeafadaaffeeafececaafeafffaeacbeagadcffbaeagbeaceebebacadfdeeebafbdfaedebaggeabdbebbcedfecaebbcgadbgcebbgaeacdfebbggebacbebcaeggaadebcafbdbefebcagdbbeeebcbbacgefebccbfafecebcccfdbceebcedaabgfebdafbgaagebdbbebdfdebdbdabegdebdbfabcfeebddcbaffcebddfaagbdebeaddfcdbebebebafgaebecdbcafeebfbecdbafebfcgadaafebfeaddcccebffgaabdbebgadfaaedebgebdcccbecadebfbgaecaggafdaaecbacggdcaecbcdbgfacecbcefcagaecbfbgcdbbeccafafbgbeccbdfgacbecdfbcbacgecdgfaabcdecebbfdbafececaeaaffeceeabebddecfaedbcdcecfbebbgcaecgaecebbcedaccbadgfedaebegdbaedaedcefabedaegbcddaedaegfbacbedafaeccecedaggdaaeaedbaafcedeedccdcbcbgedccfccaagedcfcbbeeaeddbcfafadedeacfabededeffbbacbedgaafbgabedgdfbcacaeeaacgaffaeeabagabffeeadbbdbefeeadeacfaeeebbbfdcfaeebcgbaebdeebdbddddbeebfbddebaeecacaebfeeecbfaaeeceecfdbdacceedabddeaeeedbbgbcaeeeddceabebeedfcabecbeeeaebbgaceeeebccbeaeeegbaadeaeefbdacgabeegdaeaaafefaeececabefbbdfedaaefbcgbcacdefbecebeabefcebefabaefebccedabefedacbdbdefegabfabaeffafafacaegbaegdcaaegbbabbecgegcedadaeaegdaadccfbegdabdcdbdegdccabddcegebebbafaegedcaebacegfabbaafefaabbdfdfdfaacddebfdfaacfbeebefaaecfaafffaaeefdbbdfaagafffaafabadecegbfabbbfedfbfabcbafgbffacegadcdbfacegafeaafadagagaddfadbbcdfcefaebabfeagfaecfdaeadfaedbcafddfaedcedbaefaegaeeadafafadebgbbfafbaaafgefafefacfaafagcbbadcgfagccabfbefaggabaafdfbadcgbbdefbaecebeebfbaeedcedafbbafecafdfbbcgdbbecfbcbcdbceffbcbdcddagfbcbgabeddfbccbdadfefbcdagadfbfbcegaeadbfbddabbfbgfbdgdaadaffbebbdfbfafbebfbcgbafbeedcbecafbfbgaedbafbffaadcaffbgacdedacfbgbdgaabdfcaaddedecfcaeadedbefcagabbdcgfcagdagdabfcbcabegfafcbeaadedefcbfddaabgfccagbbdgafccbebbccgfccfbagdacfccfdebadbfcdeaabedefcdgbaagadfceegcaacbfcefdbaebbfcfabeadddfcfacgcccafcfadgbadbfcfcdbadfafcfedbbcdafcffabbcfafcgcaafebbfcgcbddbcbfdabdefbaefdabfcebdcfdacdfbbbffdaeagafadfdafbcdadefdagdeafaafdcaaafffbfdcbadcbgdfdcdcbacdffdceagcccafdddafbcdbfdddfbcbcbfdefbfbcaafeaaabcffefeabagceccfeacddebbdfeadgfcaabfeafegbabafebcdcadagfecaegadbbfeceeaacdcfefgbdaaacffaafeddabffabbaaegeffbcebdcbcffbeacfbbcffdcgaacadffeageaabbffecaaeafbfffacbbccdfffcaeabeaffgbbfabacfgaagdabbefgacbaddbffgacdfcadafgadacfcdafgagacbbbefgbccdabbffgbdecabbdfgbebdbbaefgbgbadeaafgcbagcabdfgcbedccabfgdgbabcbbfgeaacbafdfgeadbeaadfgfeaabbccgaabcfbbeggaagacfadegaagagacecgabcebfbfbgacafdcadfgacbaefdfagacbdbfdafgacedccedagaceddcebbgaececbgabgaeeffaaacgafdfaadbdgagabedabfgbacfcccfbgbaddcbbgdgbaddgfabbgbbaeceebdgbbbafcffagbbfabdgcbgbcbdcgadcgbcbfcfccagbcfbeccadgbcgbgacbbgbdaceaeecgbdccaeeccgbdcfbfbacgbdgcagbbagbeaggaacbgbebddbgabgbecbceaddgbfaeabccfgbgacgdabbgcbbbfdgabgcdebbagcbgcdecfadbagcdedabeadgcebbfdcbbgcfaadagdbgcfabacagegcfaffbbbagcfdacbccdgcgcadeabcgdabgdaaedgdaeccdbebgdafecabafgdbccbecbegdbdcdgabbgdbfaabbgdgdbfabcfdagdcaccbegagddacebacfgddbbgceaagddgabccbcgdfbcagbacgdfdaebbdagebbcccedbgebfcbdcacgecaebbfadgecebdbbbdgedfacbafagefcabcbdcgfadaebeadgfbfbgcaaagfcaabfgbaggcaedaacdggccaabbdfggcgcaaeaaaaaccfagggaaaecedeegaabcfffgcbaabedbgfbgaabegfgacdaaceaagefgaacfbggcfaaaddfcaeegaadfdcfdagaaeacdgddgaaeafbcfegaaecegegbaaaedfeccgbaaegcgcedaaaeggcdeacaafafedffaaafddadefeaaffcaggcbaagaecfebfaagbebbegeaagcbaceggaagdafadegabaecagcggabaecddgeeabafcdeaggabagdedgbdabagfcgafcabagfecccfabbdfececfabbfaeegbfabbfbafgdfabcgbeacfgabdbegegbbabegbfeebbabeggacdebabfbgafbfdabfdfcdbdeabffadadffabffaeeedbabfgafcfdaabgacadefgabgbefcdebabgbfcecceabgedafgacabgeeefcababgefefabbacadfefcagacbceedgdcacbfegaafeacbffbcbffaccdgeeaddacdagccegcacdbbffeecacdedcdbdgacdgabbcggacebafgcdeacebffddbdacebgceeeaacecefadcfacfbbcegagacfbeecgdaacfcacgeceacfggcaabfacgaeeffbaacgcbddebfacgfdgdaacadabfgdebeadabgbfebgadagagcebfadbbccgdfeadbdbfeageadbfbdageeadccggafdaadcdbgafgbadcececceeadcgeaafdeaddfbceefaadeabebgfdadeadbgeddadebcbfbegadfaeeafceadfcbgfafaadfdadeccfadfedaaedfadgdbfacbgadgfbccgacaeabbafeggaeadebdbfgaeaeagffbcaebacddggcaecbebbeffaeccdafffbaecfcgafdaaecfeacffaaecgccacfeaecgecadgaaedceaacggaeddfcdcebaedeaffbcdaeebeccdedaeeeaeddcdaeefcaafdeaeefdbgbcbaeegbbdafdaeegcbcdafaefebcgdbbaegecabcgcaegegbcaccaegffbaafbafaabggfaeafabgbcddgafacbgbgddafagefadccafbcacefdfafbefccdebafbfcbccgdafcacbedgeafcadbgfcdafceaedbdfafcgacggaaafdabffedbafdegdebabafdfbdfbccafdfebfccaafdfgbdccaafeaedecfaafedfebaafafegfbbacdaffacagadgaffcgaagcbaffefcaabfafffbbeagaafgaeaddbfafgbbedfacafgdcfbbbdagaabgddcgagacabeegeagacfbgabgagafdcdeccagbdbfcefaagbffcadebagbgadaedeagbgbabcegagcbdfdcdcagcbfeabcgagccgacaefagcecgebbbagcgdcdeabagdadbgfcbagddacagcfagdefdddaaageaeafbdeagecgafeaaageeedeacaagegbaaageagfccebdeaagfgcabbecaggbdbecccaggcdgaadbbaaffgbfbdbaafgcdbfebabdcfcdgebabdebbffgbabggbegbbbaccfcdfdebacgecbecfbaddeccgfbbadeggacebbadgcgebaebaeaggafdcbaecgbebfdbafaecefddbafbbcfddgbafbdgeecbbafdacdedgbafebcfaefbafeeecccdbaffbbbbggbafgafbcgbbagceeagdbbagddccdedbagdfgaaecbagebefcbdbagfaaeedebagfafffaabaggfbbdccbbadbfgagebbadcggagcbbafdgebfbbbagcgccbgbbagefbdcebbbacgbgefbbbefddgcbbbbfededbebbbfeecfbdbbbgeeccfbbbcacdggagbbcaecgdfdbbcagfbedebbccddegdcbbccgcbdefbbcdegbfdbbbcecbeecgbbcfbbbgdgbbcfbdafdgbbdddbbfgdbbddgcfcdbbbdebgceafbbdgbdfbecbbeacffedcbbebecffbdbbebefgbaebbedebcedebbeebeagecbbfccebdgcbbfdafececbbgacadfgdbbgaeedcbfbbgcccdfcdbcaddgdeafbcadeecgfabcadfdfdfabcagdfgbdabcbdcdbegebcbfgbgaafbcbfgfdbbcbcbggccbcebccagebbegbcccedgeadbccfdgcbdcbcdagcebdfbcdceaadggbcdcebbfcgbcdcfbddfcbcdeaggebabcegdaecbebcfabcagegbcfbeddaeebcfbfbdaefbcfeeagbccbcfgafbabgbcfgdbdbcdbcgbafbafgbcgcafefcabcgcbgbedbbcgecedbeabdaaebcgegbdaafbdgfdbdabccfgedbdadfddgcbbdbfcdgbbebdbfeeacdebdcbedcfgabdcgadfbddbddaggdbdbbddbfcbafgbdeaabcffgbdebgdbadfbdedcfbagcbdeddfdbeabdefeabdgabdfafcefbbbdfbfaagecbdgdgccaeabdgebdeeabbeabeecegbbeacbaffdgbeaedacgfcbeafcaagdgbeagacfccfbebcbedfecbecbeafebfbecddbcffbbeceacgadfbeceddacdfbeceeaefdabedbdaddfebedefbbfdabedefeabebbedfbfedbabedfcefaadbedfdebabfbeeacgaaegbeeaffagacbeeagbadgcbeedebadedbefbdgcbdbbefdbccfccbefdbddgbabeffacbdecbefgccebbbbegbfecbadbegcgfaabcbegdcbfcbcbegdgcaccbbfaafaebgfbfacegeeabbfadecdcgbbfafgeaecabfagacgeadbfbcccbfgcbfbedgabagbfbefbgccabfbgfcaddbbfbgggaabbbfcacddfbfbfcdbgaagdbfcefadaedbfdbeefdabbfdccbaefebfdecbdgcabfeagadbbgbfebbecagdbfecabdbffbfecgaafbdbfedbeccebbffadgabgabffagccbcdbfgdcaaegabgabbafgbgbgaebfcccebgaedafbedbgagcgabfabgbabcgdbgbgbeagbgbbbgbeffbbdabgcaaadfegbgcdbbgecbbgceacebgbbgdaaacgdgbgdcfebbaebgdddacdgabgdeadfbbdbgdfeaeccabgebgfdbaabgedceebbbbgfcdgacacbgffaaecbdbggacdbcbfbggaceaeeacaaegbgeaecaaeggbbgbcabbadgffecabbedeggacabdgebaegcabebfgaeecabebgbfcfcabgfdeaeccacaggdfcbcacddfagbfcacgdafcfccadbaeecfgcadcaggfbccadcgaaegecaddcagfagcadecagbefcadeeabcfgcadfddbfbecaeadfdcgccaecfcaaggcaeeefcgaacaefbccfeccafabefffacafaegaaegcafageafcdcafcdfcbdecafcdgbafdcaffcdccddcafgbggaabcagagaffadcagcfdbdfacagdacfgcbcbabfcafgfcbbdafbgcgcbbfgfcabecbbgbdedcecbcceafefccbceaceffccbcfaedceecbecegdadccbedefcebbcbeeedafaecbegbbcccgcbegfcaedacbfdcdadeecbfedbegbacbgbdgaafdcbgccafgcbcbgcecegaacbgfafedabccadccdgcfccafeebagdccageaccfeccbaeeffdbccbaegdbgcccbdeebebfccbdgbcbfeccbfcbfafecccbgeebfaccccbbfefdccddfaagddccdfceacgbccdggccdabccebdbfafecceddaebfdccedgcbabgccfbbedafeccfcbegbbdccfedbebdcccgcddbfdacdabfcegbdcdacbggcfacdacfacdgecdaeagbcgdcdafdddebdcdbdeedfcacdcafbeeddcdcafcagedcdcbffdagacdcdbfgdbbcdcdbgdabgcdceedgcbacdddbfaececddecddccdcddgeafeaacdebagfeaccdebededcbcdebeebdebcdecafdccecdedbbgbeccdeebbcbgdcdegafafaccdfacefbfacdfbaafffbcdfeacbgdbcdfgaegabacdgafdgcaacdgbcbaaggcdgbedbccdcdgccbadgccdgccdgacbcdgeegaacaceabeabgefceacdfddafcebbdefgbacebbfcfgabcebfgdbdaccebggaddcacecbbfeccecedadecedccedeacecfbcedebdfdcacedebgabagceebgdedaaceefaabgfacefdaecdcccegbabcdcgcegbdeebaccfaccaceffcfadeaddcfcfaecgaadfcfafbdafcecfagbdcfdacfbgcafaddcfcbfagebbcfcceebbeccfeabdcdfccfebcdcfdacfedbcdedacfgabbbfagcfgaeccceacfgbbfecabcgaabbgefccgabagbdeecgbbfadcdecgbdcbafgbcgbdfadabgcgcbdfacbfcgcccccfdbcgcceeeadacgcfdbfaadcgdebcccdccgdfbcbbbfcgdgbfcabbcgebaffdabcgedaaaddgcgefeaaafbcggcebaabfcgggbdabcadaadfgcfcbdaadfgdfbbdaafdfdeccdabafeefcddabbegcceedabeffdeacdabgdcgcbddacdddaeefdacdgfbaeddadafdbcffdadbcggddadadbffdecbdadgdcdbbfdaeaaddgdfdaebdbafgedaecebbfeddaeecbdgccdaegbcfagadafddbdebedaffaffaaedafgdbccbedageacdcgbdageadbceedagegeaaaedbacfcaegedbaecffedadbagbcdebgdbbabfbgfedbbccbegeddbbdgdcedbdbbgbeefacdbcbggaebddbcdbedfebdbceacfdeddbcfbcgcfadbdadcggdadbdcbcgcfcdbdcedecfadbdcfaeebedbdebddfbddbebccbdegdbecbgdddbdbefeadbagdbefebaadgdbfafebcagdbfbbdcdfddbfcbedfaddbfeceeaccdbgaecgeabdbgbbeafgadbgdbfdaebdcacbedfeddcacbfbfgcdcadbfdgdbdcbaedgdbedcbedbdccgdcbefbaddfdcbegdfaaddccebcbcegdccgafacdedcdgebdeabdcebccdegadcebebfbgadcecbfgadbdcecgbgdaadcecgdbddadcfaeagccddcfbcgbgabdcgbbfaafedcgbecaeafdcgbgbccccdcgdddaeaddcgdeeaabedcgfbbgcabddabcggaceddadbededdddafadcefcddaffbdbceddageedabdddbbgbadfeddbdfcfeabddcbbeeccfddccdefbccddccgfdcbaddcdcbbecgddcddbcbgdddcebeeaecdddcbbfcfcdddcdfeabddddfbbgcaddddgacdbceddedcadedcddfbgadbfaddfdaccgadddgccfagaadeacccbdgedeacedbfafdeadddbcdfdeadebfeaddeafceagbcdeaffeabbedeafgcebbbdebafegbdadebecaadffdecbbabgdgdeccdccecddecebcbfebdecfgaaafcdedffababfdeeccacaegdefgcbcdbadegccabgcbdegdcfabcbdegeaecbcbdegebbecbbdfaabfgfacdfaaebedfcdfaaefcbbgdfagabacegdfaggaddabdfbagdcdbddfbbbcddfddfbbbfdcgadfbcbeddfadfbdgbecacdfbgabdfdadfccabgacgdfcddddcdadfdbfdacfadfdccceeacdfddbbgafadfdfdbbbebdfeaagcdaedffcafcbdbdffeacfbbbdfgabacgeadgaabfefdadgaafgbacedgabbddfcddgacecbbdfdgaedbeagadgagcebcbcdgagdaeaebdgbacfbddddgbadbfbdedgbcagddbcdgbegbabafdgdcfbbacedgddbfbbdbdgddbgabeadgfadadagbdggcadbabfdggeababfbeaabcfgadgeaacgfdbbfeaaecfecbfeabacefdcgeabcafbgeeeabcdcfgaeeabcgafccfeabddeegcaeabdgedagaeabfdedafceacbcgadefeacbdadggceacceedceceacdbegbageacdccedgbeacddcdbefeadadafcgeeadadebgageadaebebgeeadecddbedeadfaeedaeeaeadbgdddeaebcagdcfeaefbgacdceafbeebedbeafeddcbbeeaffabedafeafgfbddaaeagaagcbdfeagaebeafdebadceggbaebbdcffaddebbebabdggebbfdfbfacebcadgbdcfebcddaecfdebcecdcfccebdaebeccgebdedebadeebeaabbgffebeegafcabebefaaefccebfedfaabeebgaaegaceebgafdcabfebgbbcdagdecaagffccbecacgceddbecadbgbeececadcgfebaecadffabfcecaeddaagfecafagaefbecagafeddaecbbecffdaecbcaabggfecbfadafbgecbgcadcedecbgdfeaaceccdafdeeaeccddeafcceccefccdbceccgabbbgeecdbfaefadecdddaaggaecddfadaedecdebbecececdecfdcbbeceacgadagecebaedgcbecfaeagcdbecfbbfaefaecfcbbbfececgdbabceeecgfecbacbedabbfaefeedadegaccdedbbddacffedbebfdaddedbggdbabcedcadfabdgedcgdbfcbaeddfcbcafcededbgdcbaedefabccceedefbacbdeedegcabecbedfdddaeacedgadacecdedggbbaccceeaacfbffbeeabggbacdeeaebaedbgeeafeeaaageeagdafcbceebaaaefdgeebbeedfbaeebbfebabgeebdccdeaeeebfbcccddeecadceecceecagbcddceecgbeafabeedabdafgbeedabeedbdeedbddfbbceedefacbeaeeeaacfgcaeeeaedddcaeeeceaddcbeeeeadfbbbeefedabbcdeefgdaacdaeegbbbbfeaefaacggeaaefaafbcbgdefaebaebfdefbbdafagcefbdebedcaefbfadbbdeefcabbaeffefcadbbgcdefccdcagcbefeaceeaeaefebcafbafefedadafdaegaaaegafcegacbbcgfaegadeaceaeegbabeeacfegbdadebcdegbdbcecaeegbeagbaafegcbbbececegcebbbddcegcfacadafegdbbadbfdegeaafbaedfaaacgcbgffaabgfaaegfaaebbdegdfabbegadedfabcbgcafffabceeefbbfabdgabddffabdgddacefabeagafagfacbgedbebfaccbeedagfaccgcbeaffacdbdedecfaceccbecffacgcdfeaafadabdedgcfadaffdagafadagafcagfadcdecdfafaeagbafbffaebgaefcafaedfcabgbfaeebacgbefaeebfbeadfaeefaccdcfaeefdaebbfaegbabbfefaegbdbecbfafacabeegfafaebceddfafcddecbcfafdfcabgafaffbcbaeefafgaeaedafagbccfgaafbaeeafacgfbagbddebdfbbaccggbdfbcgbcdfbbfbdcbdcbeffbdcgcgacafbdeabebdffbdfdcbeadfbeaadeafffbeeecfacafbefcdabcefbefdacfbbfbefdbeabdfbfadcdagcfbfccaeeeafbfddaeddafbfecfccabfbgbeadccdfcafdabecffcbaeaddfefcbbdgddadfcbcafafbgfcbcdddcfbfcbgdeacdbfccaafcdgcfccafbgdcbfccdbbgeadfcdabgfabefcebcbccfdfcgbadbgbcfdaafefebafdabbadffefdacbfgcdafdadadgecbfdagabfbddfdbbagdafdfdbddcacdffdbddccgcafdcabafecffdcbebdcgafdcdfdgaaafdcdfeeabafdcecgbeaafdceeccccbfddbeaaefcfddfaddbbdfddgafcbacfdeabafdgafdeabcgafbfdfaebaafefdgcaccbecfdgdabaeebfdgdbdcaccfdgeabacagfeaaadgdgafeaaedcgbcfeacceacdffeagdfdabafeagfaafcafebafgabdcfebagadedbfebbcbfcbffebccebddcfebdbbeccefebddbffaafebdeaabfefebgcfacbbfecdaacdgcfecdbgaecafecfgaabaefeedebbabefefbcgcaacffadfabcgaffcbeabdagffcebedacbffdeddcabbffdfacabfbfffaafcdacfffcaafeabfffcaebaafffgbaaegaafgbaagfbdafgbcbadafefgcaecbcebfgcafaacfcfgebdagbbafggdcaadcagaaabafgdggaabbgaffdgaabddgacggaabegfcbcgaabgadcdggabgbdbedcgacacceecfgacbfegbcagaccdecfdagadaceaeeegadbadeagegaeagdacddgaedacedebgagcaabedfgagdfbabcdgbaaaddgcggbaaedbddggbaegacgcagbafbeafcdgbbagedcaegbbcgbaefbgbbgcabbgdgbcbbdfadfgbccgbdebbgbeadebeccgbeegcbacbgbfacdebbegbfadabefcgbfebfadcagbffbadcccgbffdaafacgbggaebbacgcabcfcfccgcabdeccdegcagggabaagcbagcfaebgcbbdbcdcggcbeaaagdfgccaefbdccgcdadcecfagcdbadecddgceafcdbdbgcfafaebaegcfeaebeabgcgbeacagagdaabgedccgdaccaeagegdbcceafbdgdbdgabdbdgdcbdagcaegdcbeeafbbgdcbfdaafcgdccbbgdcbgdcdagbaddgdcgacabcfgddbgbbabfgdedabfaebgdgbacfbadgdgbdbdbadgdgccdadcageabgabgbcgeadbefaeagebcabgafcgebccfacebgecabddgcagecacbbgebgecbadgacdgedbbceceagedbbebabggedccaddbdgeddbabeafgeecbcaeccgefaacbafegfabfcbdaegfbecbeaccgfbegabaaegfcaecbdaegfcebccdcaggbadbgdabaaaegfcedeaabedgbffdaabfgggccaaabgbdcgfeaacedfdfgaaadafbdgegaadebeeeeeaadfegadbgaaeebeefceaaegfafcgaaafcccgcfeaafceeaefeaafceffbecaafgceedccaagbaaegfgaagbddbgdfaagdafcgbfaagfbdfaeeabbageeegcabbbeffagfabbcedffgbabbfgedcgaabcceedgagabcdffffacabcfegbbeeabdcdggcebabdfgdcafdabdgbbeecgabeaffegcbabeagcggbcabebecceffabedagfgcbabefbedbgdabefgdfdababfadgcdcgabfbggbbgbabfcfffbbdabgagecagdabgcgcgbccabgedffbadabgfagacdfacaddeccggacaecgfaefacbdgfbffaacbfabffdgacbfecageeacbfgagfcbacccdcggafaccfgadfebaccfgddccdacdceddgfaacdcefdcbgacdcgbfdgaacddccgffaacdfadfefbacdgcdcbgdacdgdbaefeaceccbebggacegaffcdbacegeddbafacfddcfeeaacfegcbbbgacgaafgbdfacgagcecddacgbcbgaffacgdaddfgaacgfeabceeadacecgecfadbabfefgdadbabgcfffadbadfaeggadcdefdbbgadddgafgacaddefaafdfaddfddeafcaddggbcbagadeaagfeecadebdagefcadedcagdfcadeddcggbaadfadgafbfadfcfadccgadffeafbdcadgabgbbegadgadecfafadgbedeagbadgccfcbdeadgceebafdadgdbeeabgadggbafdeaaeaeggdafaaeafgecbddaebaegedagaebbeeefebaebccagfeeaebdagdcdgaebddgeacfaebdebcfeeaebdgbgbfbaebeeagefaaecagbggcbaecbdgfafcaecdcfgbdcaeddbedefbaeddbgbegaaedgeagccbaeedcafcfdaeeeggaaccaeefccbbdgaeegggabbaaefbcfbfbeaefecdbebeaefffccbeaaefgfbbfabafacdegcbfafaefbdbefafafaggagaafafbdfbfdafagaedfafafagbecfebafagebbgfaafaggdadafafbafcgecdafbbdgcfafafbegdfbdaafbgbbaeegafcabfffbeafcbbfbefeafcgaccfbfafdafgbddcafdbcdcgecafdfdaafdeafeadbfgccafeceddcbeaffbegfaacaffcedgbcaaffdcebbdeaffddgadadaffedcbgcaafffdaccfbafgcdabgdcafgdbcedaeafgfcbcecbagaacgbfeeagabcegbgcagaddedafeagbbefbbdgagbbggdeabagbdaggafbagbfecfdcaagbffagebaagcbfccddeagccbfdgcbagccgecaddagcddafcgbagcgadeddbagdebfaaefagdeeedbadagdfagacddagedbafdddagedcdebcdagfacfaceeagfaeeecdaagfafdacgbagfagfeabbagfbfbbbfdagfceaadeeagfeeacfbbaggaaabgfeaggabeafgabaacffeebgbabfdecfgbbacedegagcbacffadfedbadafcdfgdbaddegcccfbadegdacfebaebgcdafgbaeeedgacebaefffbecbbafaaeedfgbafaeeecgcbafbbffagebafcaedgdebafddaccggbafdgbefcbbafgbggabcbafggddcbbbagddbdedebbaeagccggbbafcdfagfbbafddgcfcbbbbgagfbgbbbcgffddbbbbdccffdfbbccgffbbebbceedfgacbbcegggabbbbcgbcgbfdbbcgcgfcdabbdgbbfegabbdggbabfebbecdedefbbbegeagaecbbfadeeebfbbfagccebgbbfdddefdabbfeeeddadbbfefagaddbbfgacebgcbbgbbgdbeebbgdcbdagfbbggcdfeaabbggeacddcbcaaegfgbdbcaeddfdfcbcafggbcbebcbbbdfgdfbcbffbegcbbcbffebeafbcbgcdaefebccbaecgegbcccgdcbfebcdeffbdaebcdfcaecefbceaeedccgbceafdfbbgbcefdbcecebcfdfafcbebcgdgecbadbcggcbdcebbdbbbegdcgbdbcgbdgdcbdbdbcgdcgbdcaecgegabdcdfcgdcbbdcgedcdbdbdddecaffcbddgbbafdfbdebbfdbfebdfagdafafbdfeadfbcebdgabggbccbdgagaedcdbdgcbgbbcfbdgcddffaabdgcegcbdabdgcgfacadbdgdbecgbbbdgebgaagbbdgegabdccbdggaabgafbeadgebebebeafcfdfbcbebbcgdfcdbebbdefefabebdbgbdeebecaegdgacbecddbeaffbecdfabgagbecegbbfbdbedaagfdbfbedacebdgebedaefgbaebedbgcafddbedcdbfdddbeeadbgfbdbeebdgcfcabeebecbbegbeefacddbfbeefgbcbbdbefccgaccebefcgbbfdabefdfcfacbbefeabfbgbbefedadgcabeffcafbdcbegbeaaegcbegbfccbfbbegdbcbdedbegffcfaaabfaddaecegbfadfgfcbabfafcebfafbfafedcgcabfbafbbgeebfbbebgdagbfbccafddgbfbcffacgbbfbdgecabfbfbfagfebabfbgcbfccdbfcaegdcbebfcbdbgfeabfccbaggfabfccdbedbgbfcdccafdfbfcedeebccbfdaeeccdebfdbdaddgdbfdcegbbafbfdffcbbafbfedcbbeedbfefeadcdbbffbacfbgcbffbbcgaedbffcdebdbdbfffababgebfgaebbcgcbfgbdgaaecbfgcacbafgbfgcfaccfabfgdeaebbdbgaaeabfgfbgaafddcgcbgaefeafadbgagffdacabgbafgfadbbgbdebbecfbgbeaafgafbgbgacebgbbgccbdbfbgbgcdebafbfbgcedfacfabgdbafcgeabgdeagbaedbgdgdebbadbgeagcbdafbgebdefbbcbgfbedcfbabgfdgaecbabggcfcafabbggeeaaaedcaaecffdbgcaaecgdfeccabdaffcffcabfgfabcgcacaeedfcgcacfacffdecadaefcgeccaddfcdgeacadgccagcfcaeaefagbgcaebbgcfbgcaebggcfaccaecdbdgedcaefaddefccafadgdfaecagfedaacgcbaecfeccgcbafagffdbcbagedgcdbcbbbfcggcccbcdbfeagecbcfccdbffcbdaaegdefcbdbabefgfcbeffdaacgcbegaeddbecbfabfeaegcbfaggabedcbfbcegacfcbfbfcbcgdcbfecgabfccbgaedcececbgbedbebfcbgbfacddfcbgddfabdecbgebgcbcdcbgfbefeaacbggdcccdbccafbfeagdccagaeageeccagbffcbeccbceagfagccbdcbfgddccbgaggeabcccbbbedggcccceaagegcccefcbeddcccffaecddcccgcfbeccccdbafeagfccebbeddfdccebdebbegccecdaeebgccedabgdbgccedagdbedccfacbddffccfbgfbecaccfcgbgabdccfdfbccddccfdfbfabeccgcaecdfcccgcfceacdccgeaagbedccgedbebafccggbgfaaacdaeecfceccdbabffedecdbcbbffgccdbcgccdgbcdbegdbgaccdbffdafbdcdcaecefbfcdcbfebaffcdcdeecaeecdceddbefbcdcfbfacdfcddbagfdafcddcebbgddcdddaebbgfcddddgfacbcddeafgcdacddgecdbcccdeafdebgacdeedfbeaccdegcdafbccdfcebfabfcdfcfagadccdfeaabfeecdgdbabfcfcdgddagccbcdgdegaccacdgeabebcfceaadbgfbgceaedebdcfceafedfbdbceagbbfbeecebaeefccecebagfgcbbcebbcdfaegcebcfgbfaccebdfccbcgcebeddbcgccebgebgaeacecaeagdgbcecbafgcgacecfcecddbcecgacfeadcecgcdafeacedaaffdbfcedbadfgaecedbbgedeacefafacebfcefafdceadcegbaagcfccegbaeeadecegbfdagabcegfcdaaeccfaddacggbcfagbbdfcdcfbbabceggcfbbbfdeddcfbdfbdfbccfbgdegbaacfccceabegcfcdbfbccfcfcdgafaebcfcfeadbddcfdfabgabfcfdfbbeacfcfdfbbgadccfeabedcbgcfeabgeaddcfgeebbbeacgaaaddeegcgabfefaebcgadcbbegdcgafbdfeaccgbadcdcgdcgbcffbaeccgbecagcebcgbfbfebbccgbffadbbecgbgfaebcbcgcbgdccbdcgccdeecadcgcedccecbcgcfccfccacgdbbcfeeacgdbebdfbccgdcabdegbcgdcccdceccgeabadegccgeaeaceddcgfcaabedfcgfdadcbcecggagaacfbcggcaeabbgcggdddbeaadaadeagefddaadggabgddaagafgedbdabccfcbggdabdddgeafdabdgaggbcdabdgfcdebdabfbedbgedabgdagdagdacbfgeebcdacdaeffdddacdcfcagfdacfdgadfbdacggdbfcadadbbfdgfbdadbgbegdbdadefaecbgdadgadfedbdaeecbfbfddafaaeffcedafacgbebgdafcacedefdafgaacffcdagcdadcdgdagcecccfcdageadbgdcdbacecaeggdbaedcccfgdbagcgeceadbagffdbccdbbbcbfcggdbbcagggcbdbbcbddeffdbbddacdggdbbdfefebbdbbfdcafeedbbgcdcgeadbcbbcdefgdbceccgbgbdbdagdcebfdbdbcfgcdcdbdcebddcgdbecgeccccdbfcddcgbcdbfeecfbcbdbfgcbbdagdbfgccdbebdbgbaaedffdbgbdcfcbedbgcbgeebadbgcfdcceadbgfecabfbdbggbbcbgbdcacafagffdcadagdebgdcadeedfccdcaebcfbegdcafddeccedcbbcegeebdcbbdedgafdcbfcagceddccbgcfcfadccgcaegbcdccggbcadddcdageafafdcddfedcbcdcdfeafceadcdgbfaeeadcdgcdbddcdcdgebbbfcdceaedfdbddcebbgaebgdceedgebbadcefedbbafdcfaebecfcdcfedadbcfdcgaadfbgcdcgaebbagfddaacfegbeddacfedcagddaeacfbegddaefcdbcfddaeffgabbddbbbcfegcddbbdagcfeddbbeefagbddbdadgccfddbdcdcagfddcbfaacggddceaeddbfdddafcbcgddddbcagdgbddddeafdbddddfbdafafddebgbeebbddeeabfdebddeecdaagdddeegebbacddefcddaebddfbbecgcbddgbcdfafaddgbeacccfddgcdbccagdeafeecgaadeagedcagadebacdefbfdebaeecbdgdebgcagbafdecfaagdbedecfdacgdadecggacbdbdedabfcdbgdeegcaebeadefbbdcccfdefbgcaacfdefeedabaedeffbdccaddegcfaacdddegdcdacebdegdeeaaaedegeafaacedfadeddaeddfbccbbgdedfbddgddabdfbgfccaccdfcafcfebbdfcbcbefdcdfcccdaecfdfcdegbabddfcdfbeeabdfceeebfaadfdafecbfadfdfdcbecadfebecaebedfedbgbcbcdfeeddbdacdffdaacaffdfgaadcedcdfgbbdbebddgabbgedbddgadbffabedgagacfdaddgbaaeadgfdgbabffcfadgbaecebcfdgbaedbdeddgbagaggaadgbcdbadfedgbedfbbeadgcaedabdgdgcbbdbgebdgcbebdeccdgccddeafadgeaeedeaadgecbefbacdgeegbaaeadgefdcbabddgfbecaedadgfebafabddggbdacccddggecaabgaeaafffagadeabafaegeeeabeeagefaeabefefaebeabffgabddeacaafgfgaeacfcffbbdeadbccbfffeadcaeefgaeadfacffeaeadfcfafdbeadgcbbeedeaeagagbbgeaecdcafgceafadggccaeafbdbdgbeeafdecfdcaeafebcecddeagadbgbcfeagbadddeeeagcfcfdabeagdfbabeeebaffbbfbfebafgcebbeebbbfcdfceebbeagfgbaebbegcceccebcacfadgfebcadggaddebdadceedeebdbbfgbagebdbedfcebebdbfcecagebdcfdaddeebeacbegddebfaaddgagebfafabeeeebfagcffaaebfbabddegebfbdggaacebfdgccbaeebgagbbfeaebgbbcgafcebgcfdbdadebgffddabaecaagadedgecabbgdcdgecabgdgaceecadcfddbfecafcbfefaecbafeadefecbefdbdfaeccbfdcdgaeccbgdbafeecccbegedaeccdaegcebeccfgddcbaecdcdfdcbdecdcdffdbaecdecabfcfecdfbaffadeceaceaffcecebegabddecebgdaacgececcdegbaecedcddaedecefacffbaecefcccbceecefcgdaacecfbdbgdcbecfebeacagecfedbfdbaecgbdaafgbecgfbdddbaedaafdegcbedaageecafedabgfadbfedafcbedfbedbbdbeebgedbddagacgedbdegfcaaedbeafagebedcagageadedcfebbcageddcfbfbcceddeadecafedecadddagededdgcaadedfbfdeabcedfcfceaadedfddccaddedfeadbcecedgcccdbafedgdebbbbeeeabdcbeefeeacdbegaeeeacgabgbeeeaeaafffbeeaedbbfceeeagcadadgeebaefcafdeebaffcfcaeecacfgabeeecbbfdebdeecbcbbeefeeccddfbdbeeccgbdebbeecfcaedeaeecgbceebaeeddecccbdeedfbcdbebeeeaacfdddeeeccagaageeecgaacgaeeeeaafdeaeeeebabfdceefadabecfeegaafaefaeegcgaaabfefaaedbafgefadafbdfcefagecbabfefbaadfdcfefbabeegdaefbbdfaadgefbedgfaaaefcbcdbfbeefcbgbdbafefcdagbgbaefefacbeadeffabcdcddeffacbafeceffbbfbafbeffcgdbaacefgabadcedefgcbadbecefgdfcbabbegacebdagcegbbdegbacegbbefcdcaegcaccdfbdegcgdbafabegdaadfdaeegdacfabfcegdddbbedaegecaagbdcegefaagaadegefbafabcegfaabdadgegfdafbbcbeggcbaaedcfaadffgdabfaafbegafcfaafeebbcgfabbefbebgfabbggbfbcfabcbfafeffabebgddebfabecddafffabecfebcefabfdefcbcfabfgabffafacdcbdcgefaceebgabffadbdeadgdfadbefeecafadeffacaefaeadfddbefaeedagdadfafcgadacffagacdgbfafagacecaeffagadecbcffagageeabcfagffcbdabfbadeafaegfbaebdefcdfbafcaeebgfbafeccefafbbdfbdbfdfbbebgcdebfbcafgbddcfbcgbgeadafbdaebcedffbddfbbagdfbefebbedafbegcebafafbfadgccaefbfecadfdafbgafaadgcfbgbebebfafbgcaebbdffbgcdecadcfbgdbaaecgfbgeabadgcfcaceeefacfcbaegcfbcfcbagfacedfcbbbgdbgcfcbbebdfgafcbddfdddafcbedcfcbdfcbgfedcaafcccbbgdfbfcdbcaafgefceafdeadcfcebegbbeafcedeabbcgfceecbefabfcfbdgbaaffcfbeebcbdfcfcabeccffcgebdacdcfdaagbfebdfdababceggfdababdgdgfdabdffecafdbbcagecefdbddcgfaafdbdgccbcdfdbfafefaafdbfddbdaefdcbafaedffdcbbdgadefddcabffdbfddcgeafaafddgeacccbfdeabcffcbfdedabdafefdedbbaceffdedcdcbdcfdfcccbfdafdgebfdaabfeaabfcfgafeacdafbgcfeagebccbdfebdebfacdfebeedcfaafecafdbcddfedaafdfadfedadbddgafeeagacgbafeeagbebcbfeedaebgabfefaeagdbafefdcacfacffafeaafccffbbdbbgbeffbbgafeabffbeccbcgaffccdfgaaaffcdbeaacgffdddbcdbcffdfcaddacfffacaecebfffbagfabaffgcbcdcacfgaaebedaffgafcaaaegfgagabddbdfgbaeabebgfgbbdagddafgbebcbbgbfgcebbfdabfgdaeafdbbfgdbeaacedfgfadecbbbfggbaebdcagaaafbfeedgaaccdcedggaafafgdbcgaagaeaggagabbdddbeggabdccbdgegabecbecfdgabgaecdfbgabgeceaebgacdcdffacgadacbbfeggadbdeeecbgaddaaecffgaddcbdbfegadecdecccgaeafdgabdgaedeaebfbgaeedbbdecgaeeeacfadgafbafgebagafdaefdacgafdfbeeaagagabefcdbgagbbadfddgagcccfcbcgbabedcgafgbacbcgfcdgbacedefadgbadbacefggbaefdadgagbafbfgccagbafceebebgbafeeacecgbagbaefdcgbagdgeabbgbbabdgbefgbbacfcfecgbbdddgdbbgbbgcbagdcgbcbbdgbfcgbcccfaceegbccdbcefcgbccdbecgbgbcebfebeagbdadabgfdgbdcbbcdfegbeacceeebgbeaefaacggbeffabbcdgbegcabcbfgbegdagaacgbfdgdabcbgbfedccccbgbfefaabcegcaddedbbfgcaeaaddgegcbafcfbbfgcbbfdcacggcbcedbfaegcbfcfccadgcbfcfdbdagccabafdefgcceebfaccgccfaebcecgcdccfadafgcdedeeacagceeccaebdgcefdaeccagcfabacgcegcfacacdcggcfacbfddbgcfdaccfcbgcgbaddfcagcgbbcgabdgdafbabfedgdbaefcdeagdbedaagfagdbegacdadgdcafaadgdgdcecddbdbgddabgbdcdgddcbbbbffgdddaageadgddedabedbgddgbgbacagdedaaffbbgdgedabcdageadcecbcegebbagbbgcgebceabdfcgebfaeabdegecaccgacegecaeegcaagecafaccgbgecbdbeccdgecebbgbcbgedbbgccadgedfdcbbadgefaedcaaegfagaaagbegfagbbbbedgfbacgdccbgfbaeafbecgfbfdcbafagfdcdcaabggfddbfaacdgfddfbbaaegfeaagbfbagfebbafddagfecacadgagffbdcfabagfgcbbfcaaggaddabfbdggbbagcfbaggebdbabfbggeddcadbaggefbadbacggfadaadcdaabbcgggbgaaccbfcfggaadbfdfdefaadcgefcedaaedbgfbfeaaeeegfddaaaeeggcacfaaegcbggccaafccgedbgaafgfgabfbaafggaagddaaggcgdabfaaggegbfababaegdfddeabceefadegabdaeddgfeabdafgeaffabdfefbdcfabdfgedbbfabefdfagcdabefeedbedabfadgcecgabfbcgcfcfabfcgdgeacabffafcagfabfffbbfddabgafbgaffabgaggfebaabgbgdbgdcabgeccgdcdabggadedecabggdaaffdacaaggdcffacaeecgbffacafffdfccacagfgeaecacddeedeagacdfeccgdcaceaeffdagaceagcffafacecaegagfacefabgdcgacefdgdfabacegcbbcfgacegccbfcfacfcddafgdacfceafffbacffggbcacacgcfdfdadacgdaecfbgacgfeddaagacggbacgbfadabggdffaadafdcfefcadbeeffeadadbfgfdfabadcaegfgdaadcgdfbecdaddaagdggcaddebbfcgeaddedgfacdaddegbccdfaddegcefbbadeaagffceadeacdggafadedgfbdaeadfaaecfegadfgdfcbbdadgcdbgcecaeaccfcdfgaeadfegfacaebbgcfdfcaebcaeegdfaebcggeabfaebdffegabaebfcbegecaecdecddeeaedaceaffgaedcgadegbaedfabecgeaedgddceeaaeebefbageaeeddeafecaeegabbgbgaeegaegdbbaefaggfacbaefbdfaeedaefbdfbcgcaefceagbgbaeffeebecaaegefabgdaafafgagacfafbbceffddafbddadegeafbddbbfegafbfgdbbgbafbgabgcgcafbgcdefbcafccecgfdaafcegdcecbafcfffaaedafdbbgaeefafddfcgabeafdfbecagdafeabgcefcafebgccgbcafedefddbbafegbeagdaaffbfbdccfaffdddfbdbafffdbcgacafgbecfebbafgbefdebaafgcacdafgafgdgbcaceagabfbecgeagabfddffbagaeddfddcagaegeafbdagafadcfdfagagbeacegagagfbabffagbbdfccdgagbddgadedagbegcbdagagcadegagcagcbedbfdeagccfgbcdcagcefgbcbcagcfbdfgabagcfdgdbdaagcgbfacedagdcbegbagagdddcaddgagdgbddcafageaacdggcageagedcdbagefaadeedagfdabaeegagfdbbcffbagfeeeecaaaggccafbedbaabfgdegdbaaggcffeababddbgfefbabfgadffdbacagcfedgbacggebadgbadbdgcfeebaddgceaegbaeaggdgbcbaeedfbfagbafabgeddgbafcfdeadgbafdbdddgebafdggdabebagbegbbefbagdedffbbbagdegabdfbagebcfbdgbagfaadfgdbagfbfdebdbbaaeegfcgbbacfffaffbbagffdeeabbbeccdegfbbcbgggfbabbccfddefdbbceeeafcgbbcfbebgfdbbdaggacegbbdddfecfcbbddgfcadfbbdebdddffbbdffcecbfbbdgcdedagbbebgdgddbbbecefcfcdbbecegafbfbbeceggdbbbbedcbedffbbeedegdbcbbeeeaegafbbefabfcgebbefegcbafbbfcebbfefbbffaedagebcadebggcebcaegfecebbcagbffagdbcbdceaeggbcbdeeecfdbcbdgaddgebcbffcffdabcbgcfagcebccddfgecbbcddgbfdafbcdecefeaebcdfcgfcdabceccfedgabceeccfecdbcfbcgbcdgbcfcfbeagdbcfebeddddbcfgebdfacbcgbbefcgbbcgcddbbegbcgcdeddcdbcgebbgfadbdaccedfdgbdaeggafaebdaggdbdbfbdbbafagggbdbfbcdfcgbdbfgfaaeebdcadafggdbdcagdfbfdbdccfecdcfbdcddddcefbdcefdgcdabdcgefacgabddegdadagbddgadgfcabddgebfcccbdeaccbfgfbdeadacggebdebadbfgfbdeeeefaeabdfbagfeeabdfdcebaegbdfffaeeacbdgcdefadcbebbcfegfabebfabgbgebebfbgcfaebecacgfbcgbecdfcdgdabecedgcdeabecgbeaecfbecgecadgbbedadgcaffbedcaafcggbedgccgcadbeecgacdbgbeedegbebbbefdaceddebefdfafaddbeffbbeebdbegbbgbgcbbegfgcaccbbfacgdccdfbfaefdgdacbfaegfbbecbfbbfcgeccbfbbgdaffcbfbdgabbgfbfbebgfbebbfcagbagcgbfcecdbgbebfcfgbeabebfdacadggdbfdacgcgeabfdaegcgacbfddaedfdcbfdfdcbgadbfeefeaaecbfgafaccgcbfgbggabcbbfgdbcfbdcbfgdceaeaebfgecddbdbbgaagdgcbebgaccfcffbbgagabfebfbgbebabggdbgbecdeeaebgbfbbdffbbgbfbfcedbbgbfdfbabgbgbfgaaccgbgcageagccbgccgebeadbgcebfebebbgcegfaafabgcfecabgcbgcgaeafafbgdbbbgccgbgddcedfbbbgddcgdafabgdeedbfacbgdgdbfbadbgedcabbgfbgedcdecbdbgegafbagabgfbagebbebgfbdegacbbgfceecdacbgfeeagcabbggaceabgdbgggabdccccaacegdggacaaecggaefcaagfdfacgcabcebgdgecabebggeafcabgdcgdeccacggbdaefcadabggfddcadbcfbfgecadbggebbfcaddcffdgacadddbgfgacadddegfadcadgdbceeecaeacagfffcaebefegadcaecaadgggcafceadegdcafcfefdcbcagadffacgcagcfcgcdbcbabgcddfgcbacefagdgcbadddefdfcbafbfgbdfcbafdagdfecbafdcegbfcbbaegafffcbbagegafecbbcbcgegecbcaagfegdcbcbfeeebfcbcccdeeefcbcfbfcfcecbdafddgddcbdfbddgfacbdfgagcdbcbeafcbeegcbeagfdcagcbebbdgecfcbefegcaebcbefffbcbdcbegcfbdfacbfefadgcbcbffddgacccbgcfafcagcbgfgcbebbccabcgfdcgccadcefdfdccadggbdceccaefdgeadccagaefeddccbceeeeagccbecdgfaeccbgedgdcaccccbdcggdcccecfdgcbcccegfaacgcccfcgcfbccccfgeafadcccgadgbbgcccgafgbbeccdaefbcffccdbafedfeccdcgcbfceccebbbcfgfccedfcgbccccefgebabeccfagagdafccfbcedddeccgbccfcfcccgcfbgccbccgdcfbcfbccgeacccgdcdabagdeffcdbbddgdedcdbcgaeecfcdbdbbgffccdcbgdeccecdcfcfadcfcddafbefeccddcegdabfcdddagecagcddfecbbdfcdebaedefdcdecaafgedcdedcgcbgacdeddebcgbcdefcacgebcdefdaadefcdegbacfbfcdfegfacbbcdgcbfebafcdgdfbcdbdcdggeccadbceabagdfdfceaceeeccfceacefcbfecebbgceccfcebdecgdbdcebfaegbfbcebfdbdeagcebgacededcecbdddcgdcecbefbgaeceddcgcabgcedebeeabgcedgbbbfbfcedgcbdcddcedgdabgbdceeaebbfcgceebdbgbfcceegccgcbaceegdaacgccefbgaebddcefdbcfabgcfaaeebegdcfabbggdafcfbagcaegdcfbdbaegedcfbdcbefeccfbdebgfcacfbdffabdecfcccdcdfdcfcdaegcbecfcffcbbddcfcfgebbadcfdeedbcfacfdfbddafccfdfedbdadcfecdagdaecfeegbbabfcfefcdbaedcffcdeadcdcfgaaeddcecfgcbgadaecfgccebbeccgaccddffbcgadeccgaecgaedecdebcgbagbdcfdcgbcafdfcdcgbcceaefdcgbddeacdfcgbeabafffcgbefeacfacgcecdaececgdafbaefdcgdbdbcbegcgddcbfbeccgdeafbagccgebgcddbbcgedeccbfacgegbadcebcgegbgacaccgfbfaafafcgfcaagddccgffgacacbcggbfecdaadaacdfeedfdaaebdgaggdaaeddgccgdaaefgecbedaagfdfcebdabafaggeedabbfdegecdabdfdggbbdabebbegdgdabedgbcfedabffdffacdabgcgdebddabggaebgcdacbeebdfgdacddageeedacfcdfcfcdadgbdfbeddadgecfdbcdaebfedcbgdaedegfaeadafcdbfbgddafcdcfebedafecfdddbdafgfadedadagbdceecedagefdaadfdaggbeefaadbafcdefbfdbagcecgbedbbebcggafdbbfecccefdbbgccgagcdbcbbefgdddbceagfdbedbcebgadfedbcecbcgfddbcffacecfdbcffdcbfcdbcfgdbdbedbcgdeaaegdbdeafgafcdbdefgagabdbdgbcaggbdbeaegccbgdbefeefbacdbegfacdafdbfaefcefadbfccgdafcdbfcefccafdbfggcbcaddbgadedfbddbgbddgbafdbgccfaeagdbgegbbbcedbgegbbgabdbggabfcebdcadedfgbcdcafagcffbdcbdbgefccdcbfafegbcdcbfefcccddcbgbdgbagdcbgebfbecdccabfcdgfdccbbgegdbdccbfaagegdccbfaefcfdcccggbedadccdggabagdccfaeegbcdccfgfdbbbdcdbabeefgdcdcegadagdcddccggacdcdeggdaacdcdgaddagddcebgbegcadcebgcdcfbdcedfedeabdceebaeegbdcfadgcgbbdcfbceecdddcfdbdabfgdcfeaggbbbdcffbfaccedcffbfdcbcdcgcfddbbddcgeecbbbfddacafffagddacceggcbddacffcgdaddadggaafdddbaaefggbddcebadgbgddddbbdffcdddddebgaddddeaddfafdddfabfefadddgacedafddeaeefagaddebbagdeeddeefcfabcddegddcbdbddfacgdagbddfbbafefcddfbdgafcbddgadgacgaddgbcfbfcbddgeebbbddddgfafabcedeacefeafcdeadcafeeedeagdbdedcdebefdbeccdebfdafeeadecccdfbgbdecdeebcbfdeceaceccgdecebfabefdecgagbaeddecgddaccededbdeaffbdedbedcdagdeebaeeadgdeebebdbfddeecgcfacbdeeedddfaadefcbcfbfbdefcedebbcdefecccgabdefeeaebeadegbabfcdedegcbfcabfdfaadaegfddfabbffcfcdfabdcdedfdfacfaedbgdfaefcfebadfafdcgbaedfafebedccdfbacdfbfedfbcbfdbcgdfbdcafdeddfcbabgfgadfcdbdfeaddfcdfbcgbbdfcefbaadgdfdbfbecfadfddfddaaedfeadcdddddfegdceacadffdbbdcdddfffagaebadfggbbbbafdgagdcafccdgbbdfbgcbdgbdecbccfdgcbaffdccdgcgcfacbcdgdbgbfabddgdcceafccdgdfadcacfdgdfdeccabdgebabdgebdgebeaedbddgefcadbfadgfabbfebddggdcbcaagdggdceadaceaadcgdebgeabedfecddeabgegbbbfeaccgcdcdfeacddfadefeadacfdgbfeadbeffcebeadcbeafffeaddebgbgbeadebfbbegeadfgfabafeaebbebfdgeaebeceeageaecagbffceaeebcdfageaeggbbbfbeafdfegacaeafgaacbgfeafgagbbfbeagbabfcgeeagbgebgbaeagcggbdabeaggdebfaaeaggdffaaaeaggfaabbgebaadffcfeebabedfddfebadgecbdfebbbafbffgebbegdgbdaebbgdefbbdebcabgdgddebcaegaecgebcaggdgabebcbafffddebcdbbfgceebcedbdcfeebcfedbfeaebdcdegddaebecaegbfcebecbfbcfeebeebagbeeebfcgagaebebfdddgaeaebffefabbdebgaaffacgebgfbcefabebggbbbdagecabcccgffecbaffaggaecbccfcgdcecbdddgebcecbecgbbcgecbedagbgcecbffacageeccdccebgdeccddgbcceeccedfdbcdeccgdbgdcaeccgdcaageeccgddaedcecdcfagcdcecdfdfcbeaececcdgbfaecedgfcabceceefeacaeecefdbedbcecegddadccecfaaccgeeecfdaceecdecfefccbaeecffafcgaaecgafagdbcecgbacefcdecgdacdfdbecgdbfddcaecgeaafgcaedadcfbgbeedagbcfgbbedbcafdfceedbddagfccedbdffbdaeedbedagfadedbeegcdbbedcbcgdcceedccccfgadedcdeeaccfeddacfcaegeddbaeagdfeddcffbgaaedeebgebacedeefabcagedfabccefdedfagcgcabedfcfabeebedfdadeccdedgcafdcbdedgccdeaebeeaaffbgaeeeabaegcdfeeagbcafcfeeagcefdbaeebbeeabgeeebeebaegbeecaaecfeeeecabffacgeecbfbadfeeeccffcccbeecfdbbagdeeddaecbeeeeddcfgabbeedebagbfbeedgabdecceedgbabebfeeebbfcfdaeeeceaecafeefdcbccbfeegaagbbgbeegbgbdbadeegdfbbdacefaabgcgfaefabdaagegefafbacggaefaffbaadgefagfbfbcaefbcdcdadgefbdcbbggaefcbfdcagbefcdddebeaefcfaafeaeefdacgebeaefdaedbfaeefebdcfbeaefebgafaccefedaebcfbefegbeaebaeffdbgdcaaefgadcebaeefgcagbaebefgcebeaadefgcfaebcaefgdbaaebfegaadgceccegacdgcecaegacffccdaegacgfbbaeegadaedeebegadffafbaegbbfceaceegbccdcdagegbecbgccbegbgedbcbbegcaabceegegccfacacgegcfcbccdcegdaagaeceegdbbagcceegdbeacebeegdcbgdbbcegddabbebgegdedagbacegeaafeddaegeabdecdcegecdbddcbegefccaaceegfecabecbeggaacddafeggafaaeaeeggdaabgadeggefbabcafaaacbgggdfaadgaggdafaaebgedagfaaegbfadffaageegadbfabagafedffabcgdgbdcfabeagddedfabfbfceecfabgcfdadefacacdaggffacbbgaeegfacbfeagddfaccgdaeedfacebdbggbfacfdfcdbdfacgefcbbdfadbgceaeefaddaecbfgfadedcccdffaebaefceefaecefgbacfaedecedccfaegdgaccbfafceabfdefafdcbcfagfafgcaafbffagaeeddeafagddbbdedfageeccdbcfagfdebafafaggaeacagfaggdfbabcfbaccggcebfbacgdgceafbadfadffcfbaedagebffbagcaebfffbagedebbefbaggbdccdfbbbcgdddefbbcacfgedfbbdagfbgbfbccccfecefbcgagebaefbdadbffagfbdbcegadefbdefafdbcfbdfaefgaafbdgcagbaffbdgdccbecfbeabbgfgafbedbdedebfbfcdbdcgbfbfcdbdedcfbfgbbfccbfbfgdagbbbfbgaedbcbgfbgagaadeefbgbfbbfdbfbgcagbfdafbgccdgadbfbgddfaeacfcacagcddgfcagegbafafcaggcafcbfcbbdfbfbffcbcecedfbfcbcffcbecfcbdeaggbbfcbffgccbafcbgfcaafdfccdfcaceefccedgbdbcfccegbdaecfccfbcdagdfccfbeebfafccgebdcccfccgegbbbbfcdaagbegcfcdcfdbebdfcddbedagcfceagdafaefcefdccbfafcfecabaegfcfecbdbagfcfececafafcfeefcacafcffedacbcfcfgecbadbfcgfaafagafdacdeacgefdadcaggaefdafaacfeffdafbcebgcfdafbdbbegfdbbbedfgafdbbecfeccfdbecgbacffdbfdcbdecfdcaebfaeffdcbbaefgcfdcbbbdgfcfdcbcbeedefdccbcfdddfdcdcbedddfdceaafdedfdcfbcbdcffdcfebebaefddafacgfafddbageedafddbbfcbeefddcadgbcefddfdcfabcfdeafddbfafdebefeabcfdegacdbcdfdfcecdfaafdgaddedcafdgafacfbcfdgbfaagadfeaabbfgedfeagbcfabffebcddbbfefebcegddbafebdcbeecdfebgdfcbacfecfbbbcdffedafcbagdfedbbgdcaefededafadcfeeaagceccfeebcfcbebfefabcacegfefaebcfadfegcfbbafaffaaafbffdffadfabdbgffagbagaddffbaggebabffbedaadgcffbegcaagaffbfaddcdcffcadgbdccffcbcefafaffccegabccffcdageaaeffcddbcadfffcdgaeaaeffcgeaaeadffdafbecccffdcdeaebcffdeacfcbcffecbfcdacffedbdabbgffegabbgbafffdebbbccffgaacbdedfgafaecebcfgagdbbdaefgbagacgadfgbbfddacdfgbebefacbfgbfdaadgafgceadacedfgcfceaebafgdacagcfafgddaecfabfgddgadacbfgdebdadbdfgfcbcafdafgfdaafcbcfggcbbadcdgaabfaegdegaaceegeadgaaebgedcdgaaffgccadgabdcaefcggabeebbfdegabegcfcdagabgcafagdgacgadagbfgadafafaeggadbfedfacgadcbgbdcfgadfbageccgadfffacdagadgaagdfagadgdbgbbcgaeadfdgacgaebfbaecggaedcdcdecgaededbeaegaefbadgeagaefbgabgagaefebaagdgafdaecgdagafeafbfbcgafebcbgbdgagaeaecedgagafgbaebgagcbdbaffgagdgabfacgbaafefdfagbaaggecbdgbabcfceeegbaddafafggbaddfbddegbaefadecegbafabefedgbbdeecafdgbbebfedeagbbeefadbegbbefbfdcbgbbgcbdbfdgbcbbebefegbcbgbebgbgbcfafcacggbcfbedagbgbdafecdbegbdbefeaafgbdcdfeccbgbdcgcadcegbdggebacagbebcdbgfagbfbagcdfagbfbffacccgbfeaaggabgbgdabgaecgbgfeeabacgcaadcedfegcadaeeaffgcadeecfdagcaebcddfdgcbdddecbegcbebcgaedgccaedddfbgccbdbegeagccbeadfbfgccecdfebagccfaffdbagccfbacbgegcdaccbdeggcdcabebgegcdcbafgbdgcdeaacdfegcdfgadaaegceagbagaegcebabcfcggcebacgbcfgcebcbefccgcefbfbbccgcfadbdeafgcfccdeabegcfcfdaagagcgdfacabegdadecdacggdadecegabgdaeaecfcdgdaecbdceegdbcdbefbdgdbgcfbdcagdbgdeaagagdcaddaedfgdcafcfbfagddbfdeabdgddddgaccbgdeafgaafagdebfdebbbgdecadecfagdfaeeabecgdgbagdeaageabaccgcggeabbafceggeabgdbcaggeadebcaefgeaeccbgaegeafacegacgecdfagadagedebgccabgeebdagbbdgeedeebadagefaccdagbgegccccabegfaaeeddaegfacafcfeagfbabdecedgfbcbgabfcgfbecdddbbgfdbaabgcfgfdbfebccagfdegbdaabgfeaaafgdagfebbbdgbbgfecdabcaggffcbabdbfgfgeaccdbagfgfbaabcdggaaaegecbggabcadefcggbcdcecdaggbdcabgeaggbeeddcaaggcbacegacggcbfacddbggcddafdabggcddbcbafggdagaabedggdbedbdbbggdefcadaaggfbcccdcaggfcccdbcaggffbdbacaaaaaaaadbaaccgdbeggaacdafggfdaacdgebfdgaaceggebdeaacgeceddgaadbgdfffcaadecefdfeaadfdfgdcdaaffgcfbddaagbeffdagabbdggeedcabccfcfffdabcggdddgaabdcgfdfcdabdedfaeegabdfcfggcaabededagdgabeggaadffabfaeefegbabfbdcfefeabfbdfgfdbabffgcbdedabgaegdgbdabgfbccedgacaagggceeacabedcgggacafeeffcdacbaebggffacbbbgfegeacbfcgfdagaccbecfffeacccdcgfdfaccecffbfeaccefaecfgaccgddebefacdecdffceacdeeecbgeacdefbdcffacdfcggbcdacebaffefeacefaeegebacegdbfdgaacfagegedaacfdfecdgaacfefdaafgacfgdbefeaacfgfabfddacfgfcdccdacgcegbdddacgddffaecadabfcgfcgadaeadffegadafadfeffadbfefdfbdadcgdagffaadcgdcddcgaddbedefbgadddbdeffdaddfcfbebgadedgdebagadeeebcdgdadefbfgdadadegcabffeadfbdbfecgadfcdcdgecadfcfgebbdadffbebfbfadfgfdafadadgdfcffbaadgedccgaeaeaeeegcddaeagdegdeaaeagfcebgcaebbbddfggaebfccfefcaecafcfgceaecbdeegagaecbeedfbgaecfabfbggaecfcccgcfaecfgbbgafaedcdeecfdaeddagfeafaedgfdadecaeebfcfeafaeeefgbfabaeeggaffaaaefacgaedgaefbcdcfgcaefbcegagcaefcbfcfbfaefceeaecfaefedbeagdaeffaafcgdaegedcadcgafaagcgedeafaecfcdefafaggcagcdafbdccfgecafbecgeaeeafbfcgcafeafcaffedddafccbfaefgafcdagdfecafcdfbcgceafcgabedgdafdcaagdgfafdccggaddafeccgagbeafeeegacbeafegdbbaffaffafgeacdaffagbbbfgaffccdegbcaffeeabefcaffeedadagaffgeafaebafgabbggfaagacccffcgagafgfdcadagbcfffdbcagbfgcabefagcbfbgdecagcbfcfdceagcebdgcecagcggacbedagdbeddddeagdcbeegdbagddfgbddaagdfafedbdagdgacfbedagedaegafcagedbbefddagedfddafbagfcefdbeaagfdbdccfdagfgedacdbaggafdacfdaggdbeddbdbabbfdfgfdbabccfgffdbabefadggebabfbgcgfdbabgbfgdedbabgcagfdgbacbggdcgdbadaeggefbbadagfggdabadbgafcggbaecdgcedfbaeeadgcffbafaggbcdgbafedbcgcgbafgfbfbagbagcgcgagbbagegbeeeabagfecaeeebbabeefcggbbabfgeedfbbaeadggefbbbbggcddgbbbdggfddbbbbecagegfbbbgbbfgcgbbbgccgcefbbcgbdgdbgbbcgbegbdfbbdbfefdcfbbdebgceeebbdgeedbfcbbeadgdfbgbbebcgdgcebbfadgefcdbbfdgdcgadbbffbceddfbbgcgcefbcbbgcgeedcbbbgebedaegbbggagcdbebbggeaafedbcacggcdgcbcafcffefbbcagfbccfgbcbbdecfgfbcccagdgdfbcccgdedgbbcceddfgbdbcceegfbfabccgbddggabccgdfabffbccgfddaeebccggffaadbcdbgfgfbabcdcdefbgdbcddccdggcbcdfecfcfbbceafeadgfbcebeffgbbbcefcefbbfbcegbafddfbcfagcecgcbcffaeaffdbcffdgdccbbcgbcdefddbcgfagddccbcgffcbfdabcggdbecafbdafagefagbdbddgcgfabdbdfdcaggbdcgbebedfbddcbfeeedbdddgbgfcabddedcfdbfbdeabdfffdbdeadbgddgbdecdcbgeebdedfgdcbcbdfaafdgfcbdfabafefgbdfafdfdebbdfegbeaagbdffdeaedcbdgaefafbfbdgbbdffcdbdgggecabbbeaaccgfgebeadfacfffbeafbededfbeafcgbbgebeafgbbdgdbebbfddegcbebcdcgdgcbebdfgagbdbebfbgcdedbebgbdbcfgbebgcgbagdbeccefdfeabecdaegbfebecdbgcffbbecfcdbdgdbecfedcgbcbecgecgcdabedcaegdgbbedccdfcgcbeddfcfbagbedffeabcfbedgdeacedbedgebcebebeedfebcecbeefbfegaabefaaebfgebefaafgafebefbecgcdcbefbegdgaabefgdagfaabegafbecfcbegfcfadaebeggdbagcbbfabgcdfbgbfacedadggbfadeegcdcbfbfedaeedbfcgbdccdfbfcgfdddcabfdbedecdebfdccagfcebfdcdbecfebfdcedcaegbfddbgbdfcbfdddaagfebfdgecbbbgbfdgeeecbabfeeabegcdbfefabegbdbfefegaacdbffdegccacbffebdeedabfffgbcaafbfgeafcbddbfgfbcdgabbgacffcccfbgaedaggaebgbdebeccgbgbecefcebbgbeeddafdbgbefeebeabgbfaecebgbgcagbgeeabgccebaegebgcgafdabgbgdcedbaegbgddedaceebgdebcgbcebgdeddabdgbgdfbfddadbgdfbfdeacbgebcfccedbgeebbdcgcbgfadceaefbgfcdfcbbebgfdaebfafbgfedbdbecbggbdebeeabggfaggaaabggfbegbaacaacfggdddcaaeegfcdecaafgcefgacabebfgeedcacbbgggddcaccadggdgcadaegfceecadfdcggadcaeacgbfgecaedfebcfecaegebbefdcaeggbbgdbcafbdbgecgcafdbaefffcaffcfeedacafgebefadcagbfagccgcagdffafcccaggbefaddcaggcdfbdccbaeffecedcbbdbfcfffcbccfdfgeacbccfgcbefcbceffegabcbcegcgabgcbcfgbadegcbcgaggebccbcgcgdcgacbcgfddebdcbdgcfecdccbdgdbgcddcbeaeagcgfcbeddaegcfcbefcegddacbffaedgdbcbffgeccadcbgbfdgabfcbgdfgafbbcbgfdefbadcbgfeddfbaccaefecgafccafeefdebccafggcedaccbdfcdeeeccbdfgbebfccbeddfceeccbfaccfgfcccebecggbccdgeadbfecceeadeddfccfaefeebdccfcgabfbgccfeedcadfccffecbdfbccgaagbcfgccgbfebfeaccgdegadbdcdabeeaggecdacedgddecdaedgadfecdafafggdacdafbdgagecdaggcabffcdbdgddfeacdcbfaddfgcdcccebegecdccfafdeecdcdcffagccdcfdbgfdacdcgagecbecdcgbbcgfccddfegbaddcddgdfbagbcdebegageacdegdfabeccdfaeedebecdfaegfcdacdfbggfbabcdfecbbddgcdgagbcffacdgcefdbdbcdgcgdagaccdgddbedcdceaafggdeaceaefafccgceafccggbccebbeaffdfcebdbfaffecebeaddfeecebfbaefdfcebgbggbcbcecbdegcgacecegadaefcedadfcddfcedaefdaefcedfbbeceecedgbebfdbcedgdfgaabceedebedafceefdfdccacefbaecfcfcefbafegcbcefcceaddfcegbecacefcegebadgeaceggcagbdaceggecbafacfbaecgfafcfbafeaefecfbbgadgeccfbgbaaggdcfcecdegcacfdacacgegcfdadbeegccfdedebceccfdegdbbafcfdfbdecebcfdfcebbcfcfdfdcaeeccfdffcaeeacfebaafgfccfebcfafagcffbafbebgcffdgbcbebcffeecbedacffgbddaafcfgaeccedccfgaffdadbcfgfcbdaagcgaegbcadgcgaffacdgbcgbdefcddbcgbdgdecadcgbeaagddfcgbeadgbbgcgbecbgdcdcgcadbgfdccgcbbfdbgdcgcgcadfdbcgcgdccbddcgdbdfbbgccgdbgcacfdcgeaacdffdcgeagbcecdcgebbfbagecgebgeebbbcgecbgeebacgedfaedadcgfcaaaggdcgfddcdbdccgfebbaecfcggaebbdedcggagbfcbbcggdaeadcedaafgedecddaaggfagaedabddgcgecdabfaeffbgdabfcgeebedabgfaefbfdacdfbgagedacfagdagfdacgdgdcafdadccdagfgdaddeafaggdaddfdfeaedaebfgbceedaedbffceddaeeaggcafdafadefccgdafebdeeagdaffcbfddddaffcfaebfdafgcfabeedagadfafeedagdeadcfedagfcggcaadbaadgafggdbabcdfgfedbaegbfefbdbagaaeeggdbbcdfgagddbbcefcdfedbbdgecdcfdbbedbecfgdbbegbdgfadbcbfbggafdbcdggeccbdbceggadafdbcgbcddfedbdacggddddbdccgecgbdbdecagbegdbdefageaedbdfcefeaddbdfcegceadbdfedbcfddbecedeedcdbedcafcffdbffbagcdedbgeabdgbfdbgegaeebbdbgfeagcaddbggcdbbcfdcaabeggfddcaaefffbfdcaddbffdfdcaffbfdbfdcbaegeaffdcbcgcfcgbdcbdfgbcdedcbeedcegbdcbeeebcgddcbfgeaafedcbgbgfagadcbgdagbeedcbgddagcedcbggbfbebdccedfgbdbdcdadbcgffdcdbgbddgcdcdbgfcbfcdcdcbagbggdcdeccffccdcdgebefcadcebaefbffdceceefcccdcecgfbaeddcefaggcacdceffdbfacdcfbcafdefdcfbddeddddcfcdfafebdcfdagbbdgdcffbddfcbdcfgabefdbdcgdcgbdeadcgeeadddcddacafgegbddadgcgedaddaedggbeaddbdadfgceddbdffcgcaddcaegfedaddcbagfgaeddccbcdgfdddcdgecdccddcebfcfbeddcffdgbacddcgaagaegdddabdfgdddddbfdgafbdddeceafceddeacdfefbddebbcdfdfddedaddefcddeddfdbdcddedgcbcddddefffacdaddfbafbgceddfcbgdaedddgaaggceaddgacdfacgdeacgebegadeadddgeccdebbcgcgfadebbefdgaddebcecfcdedebdedbgebdebedggbacdecbbegbdfdecbcfeedcdecbfbefdcdecceebfbedeccgbefdadecdgbafgadeceaegddbdecegeebcadecfdedbafdedbbeecdfdeddfdbeaededfeeacebdeebcdecdedeecefaebddeeefbcbcedeefdddbeadefbfecbafdefcafebgadefdcfagcadefdgefaaadefeadffabdefebcbfafdefefeebaadegcaecfeadegdcbaffbdfabfcgedbdfabfdaegddfabgccfecdfbbageddedfbdeacgagdfbdedgeabdfbfdfebaddfbgefbbeadfcbbcdfcgdfcccgdabgdfccdeaeeddfcddecgacdfceeebbgadfcefdbcbedfcfedbagbdfcgbbacegdfdabfcecfdfdcdfbbcfdfddgfbbdadfdffcabbfdfdgbcgaeadfefbcbbgcdffaddagcddffegeaacbdfgcgdccbadfgeadeaebdfggbcacdcdgabfbefbedgaeagcgbcdgbbdbgbdfdgbbdegdaddgbcdccfecdgbfacdfcddgbfccbdcfdgcadgfcdadgcbbcffdcdgcbbgabffdgcbfdfcbcdgddeecfaadgdeaddfdadgedbbbgafdgeeacbceedgfabcefbddggcacbdfcdggdbfafabdggdeaeacceaafbecgfdeabcdggfcbeabfeaecegeacaegcfbgeacbbdfffeeaceegddeaeaefcdgeaceafcgafbcfeagecfadgaebabfgfdebebafecgcddebagfeacgcebbadegcfeebbbdefagfebbeecaffeebbfcbgdbgebbgcadeefebbgfcgaebebbgfgabagebcffgcfaaebcgegfaacebfceagfadebffebbdceebfgfacafcebgcaefcbfebgffadceaecabdbfcggecaefdadefecafdeefcbecbbgbgbgcecbdcegddcecbdedffadecbebebgfceccgfedcbbecddcaegagecdebfceebecedebacgeecefgeafaaecegadebececfcdegadbecgcbbgaeeecgdgbgcaaecgebdeaececgebdfcadedadbefcfdedadfbaegeedaecbcdfgedaefbbgbfedagbggabdedbaebegfcedbafdffbdedbbcegbdfedbdacbeggedbddcccffedbfeccbgcedbgdcegabedcbacgfbgedcfbccedeedcfegebabedcgbagfdaeddagfecbceddaggaebdeddcaagfbgeddebeefcaedeacbdgcfedeafgcbebedecbggadbedeceecadeedecfbdfbcededbeebgaedeeabeaegedeeadgdcbedfcefbdbcedfebdbdagedfegadebaedgcdbeedaedgdddaacgedgfbcgaadedgfdbaeeaedggcedacaeeaddeebcfeeagbfddbdeeagdafceceebdefeabeeebeabdeefeebgacdgbdeebggbbbgaeecagcfeadeecddgbadeeeceaddegaeecgbbacegeecgbefccaeecgdbgbadeedaagfcbfeedbfaagcfeedcbcdcgdeeddacedgbeeeaadbcggeeeaffcfabeefaafdeafeefacgfadbeefceedbcbeefdaacedfeefdcabfbfefaafddbdgefacceefdbefadebdbgdefaeafaefdefaegaecfaefbdeabecgefbecdddfaefbeddcbgbefbggaccdbefccefbebcefcdeaecfbefddaafceeefddbeebafefeacdefdaefeaddabegefefbcdaeceffbacagcfeffcbgdccaefgacaedagefgcgaeabcegaafbdgebegaedgfcaaegafcabfbgegafdabdeeegagcbbffaegagcgaabfegcgbfbacdegdacfbcfceggacdfbadeggagadfaaeggbgabbcdeggdacgdaafaaddbdffffaagadggaefaagebbdgefabbcfgfdcfabcagffbffabeecbcgffacccbfgbgfacdeddegafacdffeddafacfafbcegfadcdgebecfaebdgdfdafaedbgbdbgfaeeaefbcffafcbcaffffaffcfaebdfafffaebaffafgdccbcefagafbcdfdfagceaefdbfagcfaedcdfagecddfcafbadfdgbagfbaecgeagcfbaefegabefbafcgfecafbagbddceffbageeffaafbbcefbfgafbbdagcbfgfbbggdfadafbcagccdgdfbcbdgfcbefbcbggcafcfbcdbfgbbffbcdfedbcefbcdgecdbdfbcgbbgccefbcgbecfdbfbcgbgefaafbdbdcccgffbdbegageafbdcaefffafbdcddegbcfbdgddebaefbdggcbcdbfbeagaceeefbecafcdcgfbefaebagefbefbceafdfbfabddffcfbfbafadegfbfdebaecffbfeaeccgbfbgagceaddfbgcccabgffbgeaffdbafcaagdbefefcadbgeaeffcadcfgeadfcafgbcbcgfcbbddefcefcbefaeafefccaedafdgfcdaafgcedfcdbfcbeedfcdbgdbadgfcebecdcedfceedgbbeafcffcbeagafcffgafabbfcgceafddafcgdaffbadfcgfdebaaefdaaggbbeefdacfgbddcfdaffbbgaefdagaaegagfdbedaedbgfdbeddcdcefdbeecacgdfdbfaadcfgfdbfcedeadfdcafcagdefdcagfddadfdccgdbbdefdcdgedaccfddagfaedbfddbcccddgfddgaagcebfdebbaegfbfdedcafgbbfdfabafeedfdfbcgedbafdfcbebgbcfdfdfcacdcfdgdefbabcfdgfcedbbafeaaageecffeaabefgcdfeabggcagafebdafbfbffebdcacdfffebecccebffebfbfcdbdfebfccddebfebfdbdebdfebgaedcfafebgbddcfafecabbgefcfecaebgagcfeccafgbebfecegaaeebfedccaagdffeddceccbefeebaeeaeefeecaadggafeeccfgbabfeegbedadafefadafdcdfefdaaafeefefegbbaccfefegbeaabfegcafbaedfegeccabfbffaagddbbgffadbddfcdffbagaedceffbagcgafaffbccdabgfffbfagebcbffcbcebeceffcbddgaebffcdeabfafffcgddbbbdffdafdfbadffdagccebcffedcdgbabffedeabfcbfffacddcfafffacdeabffffacgadeafffebeabafffgacgbeabffgcgaccbbffgdacbcbffgaebdbbfefgafbfagacfgcbeafadefgceabcgeafgcfbbgaeafgdbabedfcfgeeaabccgfgfaaagafdfgfbbgadbcfggecdaaeagaaaaeegffgaaffedbcegaagbefedbgabecacfffgabgffbbdcgaccfcffdagacgbfdbaggadbedgddbgadbegdagbgadegffbaagadfccfecbgaebgefabdgaecdccecfgafaecfedbgafagaefccgafdgbafbdgafgbbdfadgagadggbacgagbbggaeagagcbeeadegbadadffdegbbaffefadgbbagededcgbbdbgbafggbbedbfbdfgbbeeeaeecgbbfdgeaaegbbgebdbbggbcbeccbfggbdbffbcecgbdcdggbacgbddafcgdbgbddfeaafdgbdeaacfefgbdfcccccfgbdgefbdbagbeacdbgdegbeadfebddgbecefafbcgbefgfabcagbfebagbaggbgaebgbcdgbgcfadbddgbgdeeccacgbgeeadacegbgfeafacbgcabeaggafgcacebcggbgcadbddefdgcbbeeafedgcbbfcadffgcbbfcgecbgcbdgfaccdgccbgbcfcdgccbgfecbbgcccfeccafgccdgcebccgccebccfcegccfbfafaegcdcbcbgdegcddfdcbdcgcdefdbbfagcdfagedabgcdffaafbdgcfcafbdecgcfdbbgabfgcfdgbaccdgcgabccfaggcgbdaddgagcgecafbccgdaaecdgcegdabgcbebggdacgedaecgdbbabdfffgdbcbfccfdgdbfbdeedagdbfgcceabgdbgagcgaagdcaagdcfdgdcafdccbggdcafdddbegdcdaffaecgdcggadabdgddbabfcdggdecbabeefgdeccadeecgdedgbbcdbgdefcaaeddgdfaadadffgdfbgacdbdgdfddcccccgdfdeabdafgdffbaceeageabbdaefggeadaagfddgeafbcgcccgeafefaaecgebcbgdcafgebebebdfbgebgadaffagebgbfbcccgecaafadeggecacgcfdagecafcdagcgecbbfcbdfgecbceebddgecdedeaeagecgbcgbcageddafgbcagedfafcadcgeebccafecgeecbgbabfgefbdfbabegefcecccbcgegabebeeagegaegeaaagegbafacfbgegcfcabaegegdbddaaegfabfbbbffgfacbeeedbgfacgafdbcgfaefdbdcbgfafcbdaeegfbabebfbggfbcfeedaagfbgdacbaggfcaefbgabgfcgbdabbfgfdbaagcgbgfddebbbddgfebdaagfagfebddbddbgfecgacbeagfeefcabcbgffdaadeaegffdabcaeegfgaccdbcdggabgbccgaggadbbbeeeggafbbbfafggbabafdeeggbadgbdaeggbbbafeceggbbdagdaeggbbgacebdggbbgbdafbggbeaececbggbfcadbagggcaaecfbeggcbbfccebggcbbgbbecggcbebceeaggcbebdccdggcegcbbacggcgbaceadggebaafgcaggebcdbbddggfecddabagggacdccdagggebbdbcagggfbaaaagaacageffgdaacedfegfcaadddgbgdgaaefaeegdfaaegeggacdaafagggfdaaagefgeafbaagfaafdggaaggadegagabafecgdegabagbggdgcabbfgfeagdabbgdceeegabcafcgfegabcaggcgeeabcfefbgbgabcgefcdeeabdfcdcefgabdfdceeefabdfgdfcecabdggfaegaabeeeecdgdabfdebcgefabfffcfcceabfgdeececabfggaeadgabgbgdfdagabgccfgdfbabgeeggadbabgggafdeaacagcfbegfaccedfdegcaccgefgabfacdbfgfdceacdedgfcddacdfdbgfagacdffagcfdacdgbdgaegaceegcfbcfaceffeffbaacfaefeegbacfaegfagdacfbeegcbgacfccfgebeacfgdgbgbbacgafeddgcacgcegagafadbbfdfbggadbfbfcgfdadbfeddfcfadbgbcggceadbgcddcgfadcfcgeebeaddebfedfdadeacfcgdgadeagdfdbgadeaggceecadedfbfbefadeedbgcgcadfbbdffgcadfbbgfebfadfdagefdcadfeceeafeadfgecceafadfgedfdbbadgbgfcfbcadgccdcedgadgebfdecdaeabgbggbgaeadgdgdecaeagbefcfeaebbgcdfefaebcagbgfgaebedccdggaebggabdgeaeccccfeffaecdeffeeaaedccfcdegaeddebbefgaeddedcfbgaedffafcdeaedgbbgfafaeeggaafagaefagcbdffaefcdfedfaaefdfbgdaeaegbdedfafaegcbbcgefaegcgdbgdaaegdbfeaeeaegddcgccdaegdgagaddaegedaeeecaeggbaeccgaeggcabdgdafacfgecdeafadggdbcfafaeagfefcafagdfcgeaafbddffefaafbgcefcceafbgdbbggcafcccdddfgafccgcbbggafccgcdgbeafccgcgfdaafcgececagafeagdceedafedcaggebafeededddcafeefeadddafeggaefabaffbbebdfgafffbefcaeaffffacagdaffgfdeacbafgacgffbbafgbfbedceafgcgbfgaaafgeffbcdaafgfbagcecafggcbebecagaecdgfbeagafegaebfagagdgcfcbagaggadegaagagggaedaagbbbgagffagbebbcgffagcffebaeeagdbcfdeedagdbfbafegagdcbfbgedagdedcggabagdedgafeaagdgcegaaeageaeaecfgagebeeeebdagedaageeeagefbbeccgagfabfgcddagfdddfceaaggbfefdbabaagcfgcdgbabdgefffbbabffgcdfdbaceegaeegbacgecgddebaedgfeeeabaeggbcgdcbaffebegbebagbebcgffbagecgadfebagfbdeedebbbcdgdgdfbbbfefegaebbbggffabfbbceeedfedbbcfceffgabbdfecagfebbdgfabgdfbbeecgbgagbbeeeadgdfbbffgageadbbfgeadfgabbgadffbdgbbgbggccecbbgdgbeeebbbgggcdfbabcagedcggbbcbbfdeffebcbedgegccbcbegddbegbcbgeeecfcbcccfebegebcdfaggagcbcedfgfebabceeecdgebbcefgabdefbcfbbfedfebcfbfcfbgdbcfdfbbgcfbcgebdeegabdabgegdedbdbeecfddfbdcaffebffbdcbgbeedgbdcddgadgebdcdffececbddfceffbcbddffadgdcbdeacdeegebdeeaedggabdegbegcbdbdegcfeaecbdfaffdbgcbdgcgcgfaabeadafgfbgbeadedgffabeadfgcfebbebbdfdgfcbebfdaegfcbebfgacdgdbecbcdeeffbecbffdgbdbedcdafgbgbedcgefagabedfcedeebbedggcceadbeeecfagfabefagdcebfbefbefbdgbbefdcafeedbefeabfdgcbegbbdgcfcbegbbgdeafbegfgdacdbbeggcacdcfbfaebeegfbbfbbdgcfedbfbddgagddbfbgccffccbfcebcgbgdbfcfcccdfebfcgbbdfdebfdaecfcfebfdcedcecfbfddffeeabbfdecfefacbfdefgebbbbfdfgdbddbbfdgadbdfebfebgcfecbbfecbbagfgbfecceaffdbfecebgbbgbfedbdcdefbfeefdcbecbfegaafdedbffcfeefaabffdaabfgfbfgbdebagebfgcaddfbfbfgdagddeabgaaefdggabgafecbdfebgbcfdfbcfbgbfcagcfdbgcbafdgedbgcbccfddgbgcffbgaebbgdbdgdgbbbgdbgffaccbgdeafceagbgdeeebeaebgebbdbgfdbgecabgeedbgefaeegabbgefdcceeabgfbedcgbcbgfdccbdfdbgffedabgabggadfaaffbggbcfeebbbggbgdgacabggcfcbcfbcabcdbgggecaccgggbbfcaceaggbgecacecfgdgbcacecggdfbcadadgfgbfcaddcgegbecadfcdffcecadgbeegfacaedcgdfgacaedeggagacafgdcddcfcagabgbggdcbaegecgbfcbbdcgbggdcbbggaeefccbcegagbfecbcfedffcccbdbfcgcdgcbdebcfggbcbdecedggacbdgdfcedccbdggcegabcbebbgefbgcbebggcccfcbecedcgdecbeegbafcgcbegbbgegacbffdgfdbacbfgcafccgcbfgcgebeacbgbcbegeecbgdgebdbecbgedcdfebcbggacdfddcbggcbafgcccacggdegaccbeffcefbccbfeceegbccbgafcgedccbgffbbcgcccbfggdaecccdggcadfcccfecffdbccdbfdbfefccdfecacgfccecdagfedccedecefcdcceebceedfccfcbebggcccfdgdedcbccfefdecaeccfgdbfcdcccgbbfcfbgccgddecdgaccgdgedadccdadfbeegdcdafaefdgdcdaffcgbfccdbaebggdfcdbeecadggcdcedebgddcdcfbffbedcddafcgeagcddbbgfgaecddbgbcffdcddceefceccddebddfbgcddefedcafcdeedfbdddcdefbgaeagcdegcbffadcdeggacdfacdfaafbefgcdfabfbdfgcdfbgdcgbccdfdgcfccbcdffacebgdcdgbbcfbegcdgbfbedddcdgdbgbgcbcdgdcagefacdggebfbcbcdggfabfbcceaddfbggbceadgdbegcceaeceffebcebaddgdgdcebagegcgacebbbgcegecebfgaeedccebfgbaedfcececgcccfcedfdadfagceeaadedgfceeabaggdfceecddfbbgceedfdabefceegecfadbcefafbfcbgcefbedfabgcefbgbagagcefcgafgbacefecceadfceffaedfdacegbdagbeecegbgdgbbbcegddabgbfcfafeafbdgcfaffbccefcfbabgdgcfcfbeeabcggcfbfdeeeadcfceecddddcfcfgfbaafcfdacgbcgecfdaffcgdacfdbcdcgdecfdcceaegdcfddbddgebcfdefbeadecfdffbagaecfeaadddgfcfebbfbdefcfebgebgcacfegabfdafcffcedcafdcffgcagdaccffgdaebcdcfgecdaeafcfgfgcbeaacfggacbbgccgaecfcdedcgafdedaeecgbabgaggdcgbebfbddfcgbfbbggbccgbffcddeacgcadgbcefcgcagfafcdcgccaedfcfcgcgaeaddfcgdacebffdcgdcceeebdcgdcfdeaagcgddbcefebcgdecbfgbbcgdfbdbefbcgdfedabcfcgdgcccedbcgeacbfgebcgecaddbgecgeccbfdagcgegbceebbcgfagecagacgfbfabfcecgfeadfddacgffdbdbebcgfgebcdcacggafafbagcggcaecbfdcggdagcbbecggedeabfacggffadccadaafbdffdgdacacffdgfdacdfgbefcdadedgeeeadaegfcbaffdafcffffbadafdefgcdadaffcccbgfdaffcegbbedagfabeefddaggadbgbfdbabebfeggdbafffbcdgdbafggbdbfdbbbdgfdfddbbdgeafcgdbbgbffeafdbcfcaggagdbdeeageagdbdegdgdcadbdfdebfdddbdfdecfdcdbeacggfeadbebagcfdgdbebeggcccdbeccgcededbedddcfgbdbeffdbgcbdbfaagfeeddbfddcagcgdbfecgbcbgdbfefdfbdbdbfgfdacagdbgcdagdfcdbgcgdadgbdbgdfceacfdbgeddegbadcaaggccegdcafagbgfddcbdcfebgedcbdddgbefdcbfabdgffdcbgddfcdddccbffgbecdcccgdgeaddccebgbdfedccecdfbgddccgdgcaeddcdcecgagddcdddceefcdcdgdceagcdcebceecefdceecgaccgdcfcbbffgbdcfefedbccdcffacdgcddcffgadedadcfgbbdedddcfgccafecdcgabagcfgdcgbgedbebdcgcbcgfbddcgdgbdcafdcgfebfabeddaecedggaddagccdfedddbdgefcbdddbefeafagddbfegcfacddbgeebedcdddaefbbgfdddebcbeffdddffefacbddecagdegaddecdbgdfbddedbeagdeddeeacefceddeeedcagcddefacfeebddfaffcbedddfdffccadddfeagadcfddffffbaeaddfgfdcccaddgcbfagafdeaecgddbfdeaefcbgecdeafdafcefdebbffafeddebbgefbbfdebfecabgfdebfgadadgdecgfdagcadedaagdgfbdedagceeebdedaggfaccdeddbcfebfdedeccagdedededgafaddedfcfaagddedfgbaeafdedgbaedbgdedgdfeacbdeebaffeafdeedbdeaefdeedgeaecbdeegaeeaecdefacgcbeedefbggecaadefdafbcfddefegbdeabdegcafgdacdegcafgdcadegedabdfcdegefbbbfbdegefeaafadegfeddbcadeggbbgaaedfadfdfdaedfafcegaecdfageecdccdfagegbceadfbbdcddegdfbbggaeafdfbcgeadgbdfbdcfadefdfbfagfdcbdfbfdeedaddfbgagfdcadfbgfdacecdfccbfagbgdfccgabgfbdfccgdaffadfceaeeeebdfdabedgbfdfdaeaebgfdfdafbgcfbdfdafcdcdfdfdbbabggfdfdbcfddbfdfdbfbfeaedfdccdgbdddfdebdecbfdfdfcdgadbdfeacbegagdfeagcbceedfeeaebfafdfeeeadddcdffebdcgcadffebffacbdfffddacbedfgaaagdcgdfgbabgbeedfgbeefacbdfgdbefcacdfgegaaabgdgaabgeffbdgaacegdcfdgabcfgadfdgacbbbggfdgagbcefccdgbbbfaegedgbccgcfccdgcdcgdaecdgcdfdbaeedgdbaeefcddgdbbcbeegdgdgdacbeddgecbaeebgdgeefecadadgefddbdbcdggbagbddceaadgfdcgceaagbgdfbfeaaggagcgbeabbffedcgeacbdefdgdeacebeeddgeaceebgbgdeacegfcfadeacfbgfcddeaeeegagcbeaeffbbfeceaeggebeaceafcceggcaeafecdcedeeaffeegbcaeafffdbfcbeagabccgffeagadccggceagceaeegbeagcgbacegebabegagefebagcggbebebbagffcedebbdbbeffgebcbcfceegebdabfeedgebdbagfegbebdbccgdgdebdcbgbgedebdceegagbebdgaedfcdebeaggebafebfacefbefebfadegcbfebfbfbfdfbebfccdgbbgebfcgedbfaebfdafagfcebfddceeebebffdgcbccebfgagbafdebfgcafcddebgbaaedggebgbgbadgdebgccfccbgebgecaggcaecadddebgfecaedffeaeecbafgeefaecbageaggcecbbcgfdcfecbdbcfegdecbdcgceedeccadfdffceccccbeegeecceaceefeeccfgecafbeccgcgaafeeccgebggaaecdbddeedeecdbfgedadecdddeeafdecdfagfaagecdgbdcbdgecdggbdccceceacgagcfececacgfecececeeegbaececgdacgcecfbcdfbgcecfbgbcgdbecgcbbbfdgecgdgbaagdecgedddbebecggdefabaedaaeefegbedacgfcgadedadbdgafgedafebcdfeedbdcgbgafedcbbccfgfedccadfbgfedcfacbcggeddfedcbfbeddfgdbdadedecaecdfeedecdaggbcedeeabedcgedeefabccgedeegdabecedeffebacdedegbagddbedfcbgafcdedfdagacfdedfdggbcabedfffaacededgbcfaeddeeabeffbfceeacafdggbeebbfagbdgeebbgbfgdaeebfcfcgbbeebgcfcfaceecabacgggeecbadfedfeecbfedddceeccfdgcadeecdfbdecdeecfcagadfeecffadebdeedcbdbedgeeeabgggaaeeeadfbccgeeebcfcedceeebfebfbceeeeaegebaeefaabedffeefacggbadeefbabfdeeeefbacgafeeefccgbddbeegaegcdbbeegeaeeadcefacfgcedaefafdeaeceefageaeagcefageedcadefbbcdfeecefbbdebecgefbccdgbcfefbedbccfeefbfaeedafefcacbfedfefcceebbgcefcdacfdgbefcdbgaffaefcdgaebceefceceafafefdadgefbaefdcbegbafefddbgbbcfefdeafbadgefdgfebacbefeafeebbdefedcaaegdeffgdebacbefgaaefabgefgadgcadcegadfffcbaegaegdfbbbegagcbggaaegagfdaddbegbaegbdbfegbcdbfdgaegbdgabgccegbeebcaefegbfaabfdgegbgeaaebfegcacbggbdegcbccgcddegcbdecdecegcbedeedaegdadcccdgegdebefbadegdgedaabeegeaedaddeegecdfdaccegefcaafdcegfbbcagfbegfcaddcfbegfecaeaecegfefccbaceggbebgabcfaabfgdbgefabccdeeegfabgdcgbbgfacfgabdgdfaddbfegccfadgedaffafadgfccgacfaeddcddeefaedfbbgagfaeggaedbcfaeggbaefafafafddbeffafafgbgbcfafcdgbagdfagcbbecegfagcgafbbffagfegeaabfbagfcgdcbfbbecdegdcfbbegecdaffbcebgdcdefbceeccafgfbcffagecbfbcgbdfadffbdbggafbdfbdggaddccfbeacgdceefbecdfafbffbeeedfeabfbfcaddcegfbfcafccgdfbfcdfagdbfbfcegdccbfbfddfbccefbfedffbacfbffdecgaafbfgaedcfafbgagaeafefbgcabfegbfbgfadecaffcaddfecbgfcaeaecgcgfcagadecdgfcbdffaefbfcbefcebedfcccddcfgbfcdafgcgacfcdcageagdfcdddbddcgfcdddgbacgfcdecdeagcfcdgcacedefceagcdaeffcecbedefbfcecbeeeaffcedffafbbfcegeeacaefcfbedefbbfcfdcbgbcefcgcdacgbefcgeadadgcfcgegcdbacfcggadafbdfdabecgecefdadgecfdafdaefagcfbfdagbggabdfdcabgfcgbfdcagcdfcdfdcddbdcgdfddcebbgfbfddcebdgeafdddgbfbccfddeafagebfddedagcebfddfbfadbffddfcafedbfddfcecbfbfdeadgafdcfdeeebfdcafdefdagcbcfdgacafagefdgacbedgbfeabbfgedcfeabefebgbfeafbccaggfeafcgfbcbfebaacgegdfecabcggdcfecaegbfeafecbdeceddfeccdccfagfeccgeaafdfecedddfacfecfdcbecdfecffdeaadfedadgdafcfedgadgabdfeeaeecbcffeebfcfeabfeedagcbfbfeefccdecafeegabcdbffefgcfaaeafegabadfdefegcbgcbaefegedbacbffegeeeaabdfeggbcbafbffaaeddbegffadagcfdcffadbbgfebffaddaagefffafdaeedcffbbddcddfffbbggceabffbdfcgcacffcbccgdcdffdcgafeabffdeaeebfaffdefdcbadffeaecaebgffebecfaafffebgccaceffefabdagcffffbaefbaffgcbfaaedffgcdccbdcfgaaeeagcefgaeeabgaffgbbcdcagffgbfgeaaeafgbgagebcafgcbbfebddfgdadfabdffgdbdfdafafgdfcfdaacfgeaebdcgafgeafdcdbcfgebeabafffgecafacbgfgecgcdacbfgefebbeabfgfafaedbcfggacbcdcefggeaaabdggaadgbgeafgaaffadagggaaffeccgbgaagccefecgabecfgbgagabfefdcafgabgbfbdgcgabgeeageagacbdgeafegaccfgfdcagacgabfdgcgacgecacgdgadcbffafegadcceccgegadcgbdbgdgaddgaagbggaecegfbadgaedbbgcdfgafcdaeegbgafcgaaagggafedfdbeagaffbecbcfgagecagfcagagecbgdbcgagefcdfaagbaadaggefgbabffgcbegbacbfgdfcgbaedeccgdgbaegecbcfgbbgadfdbfgbcbfcfgcbgbcdcfdafegbcefbeagcgbcfbefacfgbcgaeeafdgbcgbebgbdgbdcfaadgfgbddbdcdfegbeaeeececgbeebgedcagbefddacgbgbfaagcgdcgbfaccdgecgbfadeceddgbgbaefafdgbgbcdgbafgbgcaadgbggbgeeebabegbgfcbecdbgcaeffcbaggcbaeefbfdgcbbefgfabgcbcedgbfbgcbddfgebagcbdfgcagagcbgdacedegccagafaeggccbafdagggccbdfcbgdgccecgcgbagccefebbaggccfbcaeefgccfebdcaggccfeccbgbgccgcecccdgccgeafcaegcdbeddfeagcdfagbfcbgcdgbcbdbggcececfcaegcfbcdgbebgcfcgfacbcgcfdfcebcbgcgbadgadegcggadebbcgdaaecgbgdgdadeedcfbgdagddceaegdbccagdgcgdbebfcecdgdbgeaeabggdcaedcfddgdcafdfcdcgdcdcdbcefgdceecedbcgdcfddagcbgddbafcdgcgddbccfdfbgdebgdcbfagdeefecbbbgdfbbceafegdfbcccdgbgdffcbfcacgdgacbccdggdgaeecaecgdgbabbbgggdgbbbebeegeabgccceegebbcgaafggebcaddecggebedddbaggebfeeaecbgecbcbgbeegecfacbegbgedaecdebegedgeabfacgeebddeafbgefbdbbfebgefbdfacbegefcbdfadcgfabafeecegfabcdcdgdgfacbcdgcegfacdffacdgfadagcdfbgfaddcfgbagfbdbcdeaggfbebecdcdgfbfebeafagfcabgacdggfccadecbggfcdfcbafcgfcdfcccaegfcebafcaggfdbcaccgegfdgcbfaadgfebfgbbcagffecdfaabgfffcbccbcggabgdcdbdggafecbbecggbbebabfgggcbdfecbbggdcafabdfggdcebadecggeagcbddaggebedccdaggfaggabbaaaabaaaafaabdcgffegaabfbffgefaabgfcfegdaacdabaaaaacfdcffegaadbagffggaaeafdfdggaaefecfdefaafcgfbdffaagdgdecdfaagecfccgfaagfadfdffababdgfgegabcafggefdabcfdgefbfabddgffafeabeefdffcdabefdcefgcabeffdgbcfabfbgdefbgabfcfcfddgabfeeebfdfabffcecfcgabfgdfbffbabgcecdggcabgfbeedgcacafgdcgeeacbfgegbdeaccgcegeddacdcfgecfdacddcfcgfeacddedeeefaceafegafgacecgggebbaceeaagffgacefbeedgdacegdbdfgcacfdgbfbgdacgbdgdefcacgdeedccgacgebeccfgacgefbggbbadaggagdcgadbdcgefgcaddbdfbffgaddeeefbcgadfbfacffgadfcegcfebadgacaefggadgcdffbedadgcggaaefaeaadfffgeaeadegecgdaeaefgecfcaecddccggeaecfcfcfbgaecfgbgfcbaecgffaeecaecgfgddcbaedgcgdgcaaeecbbffegaeecgfeacfaeedecedgcaeedgcgddbaeeecfdageaefcgafdedaeffdadgddaegaafegbgaegbdgbdfdaegcaebefgaegceafdfdaegddbfeceaegdfbgbceaegegcebebafbagdgdcgafbefagecfafbgdbfeedafbggccccgafcdeaefefafcfdabffgafcfdgeedaafcgccgbcgafcggfcbdcafdcaefffdafeaffcgfaafebfgccbgafecdfeedcafecegbgdbaffacddggcaffbecfegaaffcfdgbcdaffdfeafebaffgbgaadgafgbdgdafdafgbefgdacafgdfeabfdafgfdgadbdafggcacebgagagdffbddagbcedfgfaagccfecedeagdaggafceagdbffbgafagdbgcffaeagdgaaebggageagbeecfagedcfegacageffdacedagfdfadcgcaggadgcafeaggbfbbgecaggceafgcbaggcgddcdbbaadgefgdebaccfgfgafbacgfdebgebadcgdgdgcbadgeedbgebaedfeaegfbafeffcgccbaffcddcgfbaffcddfcgbafggcdagdbagdggbedcbagedfcfbfbbabdggggcbbbfbegegdbbccebegfgbbcdcedggebbdeddffdebbdfedeefcbbeeeeagfdbbeegcgagcbbegeeceddbbfecedgddbbfedccgfdbbfefdfebdbbfgdgebfabbgcdbgfdebbgdbgdgbebcbbggaggdbcbedfeddgbcbgggabgdbccbfgegbebccffccgdebccffgddfabcdeegccfdbcdfagcffdbcdgedeefabceafagfefbceeeegfbbbceeggbbbgbcfdffadcgbcfdgccfddbcfgddadfebcfgeefdcabcgaegddgbbcgddgebbfbcggdbedfbbdagfgecfabdaggfafddbdbacfeffgbdcecdcegfbdcfcgfbgbbddfadcfgebddfbgbfcfbddfgaaggcbddgdedfaebdebageffdbdedgabffebdegbgacdgbdffedbbefbdffedeedabdgbafefdebdgbgcfafdbdgcddcdfebdgdggaaedbeagdfbedfbeaggddeebbebeggdcbebebffgcccebebggbabggbecbfggcbebecfcgefcbbecffegbbdbecgdacdfgbedfgdbgcbbedgfcebddbeeaffcfagbeebeccdfgbeebgaffcebeedffdcfabeeeagbfdebeeegecddbbeegcbdcefbefbebbfffbefbgafgeabefcbfdcdgbeffgfaacebefgcafdcebefgceaccgbegadegdcdbegfbdgddabegfggbabcbfaacdgegfbfabbggfdebfacdfgcfdbfadefgdebbfaeedfcfdbfafegbdgbbfagcfffcbbfagfcegadbfbcffffadbfbdeecgbfbfbfeebgebbfcdebfafgbfcfeabfdgbfcggfdccabfdcegfdcbbfdegfaccebfdfgdcfcabfedebbbggbfeegcfdbbbffdgbddbebfgfdgbdbbbgabgafggbbgaffgbacgbgafgeeaddbgagaaggdebgbcgbdgfbbgbfbegcbfbgbgbcedcgbgbgbddgafbgbgcdacgfbgcfbeebcgbgdbdffacgbgdbggdaddbgdcebgbgcbgddfacgagbgddgceebcbgdeegcbbebgdfddbeecbgedadgdfbbgeecbceeebgeeecefcabgeefbaagfbgfcfagbddbgffaagbeebgffcbfdccbggaceecdebggccadaggbggdafaddfbggeeebecacaaegeagffcaagdcdeggcabfdfcgeecacfegfbdecacgbffgdccadccfegcgcadfdgadgecaeefcedfdcaeegeagbfcaegddfdbfcaegdgeadecagfbdgdddcagggcacfdcbbddfggbecbbdffeagfcbccffecfecbcefagcgecbdcbgdeegcbdcgbaggfcbeagdegddcbebgbafggcbecdcffcgcbeddggabgcbegeddagdcbegegaedccbfeebefagcbfgcecgeacbgadddfdgcbgbgebfbfcbgcfdgbbfcbgdadgefccbgdcfefeacbgfcfedeaccaeaggeeeccbdcbgfegccbdfbddggccccfccefgcccecgefebccdbeegcgcccecccdggdccfdedadgeccgbbddegeccgbefcdbgccgcbeffcdccgdedaegcccggddcdbecdaadgggddcdafcgecdfcdagdcaggecdbccdeegfcdbggeaegacdcagdbggdcdcdgecdedcdcecdfgfacddacdgcfgcddageddeecddcfccdgecddecgfccdcddeeeffbbcddeefccedcddfcgfdadcdedagbedgcdeddfcgeacdefgcaagecdfdbcbgefcdfeeegccacdgagfgdbacdggdebagbcebfadgffbcecadgbeffcecagcbfffcecbeeecdgcecccdbeggcecfadfafgcecffaedgbcecgeacegccedfdgdaceceecgeddcccefafcbgdecefbcgcdbgcefdcecdgbcefdeeebfacefdfbcdfcceffdegaadcefgacbgeccegabdfdeecegcafffbccegfffbccaceggadadcgcfaegecbfdcfagebbdgecfcbcbgcfgcfcdcebgdecfcgcgcgbacfdbgeeabgcfdcafdaggcfdcgdcaefcfdfadfcgbcfdgdbbdcgcfedabggbecfeegcbagccfegbaeeeccfegdgbabecffcecgdadcffcgbfacecffefbafafcffgbdaagecfgaccecefcfgdaegbebcfgdgbbfdacgaffddcfbcgbbegfabgcgbfcgbadgcgbgadggaccgcbgabegecgceegbecbcgcfegeabccgcgeaefcbcgdadbfbfgcgdaefdbeecgddafffcbcgdfddfabecgeabcdgdfcgeafcadgecgecbdedfccgecebecbgcgedeecbbfcgedgageabcgedgbabefcgfcabgefbcgfeacdaffcgfgcbbfeacggdcbdcgbcgggcdaecbdaafdffafgdaccedbfggdaddgbgagedadfcgbaggdaebgbbgegdaecdfgccfdaefdeddfcdafagdafgedafagddgcedafbggfaecdafcegcbgddagcceefagdagdadfdgddagdgefaebdbbcfbcgfgdbbcgcfgecdbbfcfagefdbbfeagdgddbbfebegfcdbcbfgedfcdbcgbfdddfdbcgegddaedbdcbfgbffdbdcegfcdddbdcfbgdgcdbdgefecdbdbecgggccadbeedgafbfdbfcbfgdbfdbfgefebaddbgdcfbcfedbgdeagedcdbgebfffcadbggedbdebdbggeedccbdcaaebegggdcacgdgcdfdcadgdecefdcaegccefedcbffddccgdcccdefcfedccfbffeafdccgaggcbedcdcafcgfedcddfbbgeedcdebbegfddcdeefcdecdcdfccgcdedcdfeedcdddcebgddeagdcebgecgdbdcedfffbdbdcfcfacdffdcfddgaebfdcffgcbbbgdcffgfaceadcgaegadcgdcgbcedcdgdcgebfegbadcgeccgeaddcgggadcdbddafcdddgeddafefgbcdddcbfbgdeeddcdaeegcfddcebgeeafdddebgedfadddecdefafddecacgdefddececdbffddegcfcafcddfabegegaddfbbfefbeddfcbdgefaddfccfcfbeddfdbafeeeddfegfdaadddgadgcfccddgbdcgebdddgbdedbdfdeadcfeddfdebagfaedgdebbdeeedfdebddagefddecbcdcggddecegacefcdecfcbddfedecfgcdaeddedecedcfcdedgdadcfddedgdcbdeddeeaeadggcdeeaeddebgdeebeeegcadeefbcgcbedeefbgfcacdeefebedeadeegbdebgadeegfebaebdefcbeaeefdefdgdaeaedeffaaffcddegacfdefadegbafgafcdegbffbccddegdfabfcddfabbddgegdfaebcgbffdfagcbdgfbdfbcbgfecddfbcccefdfdfbdffaedddfbecdcdgddfccffbafedfcdfccfdcdfcgaagebfdfcggacacgdfdagacdgedfdedebcgbdffbfeebbddffdcbagdedffeacbfgbdfgeebcbagdgabdegedcdgacfgbdcedgadebefecdgaeefcdbedgbbfffcccdgbgcdcfccdgcaegebagdgcdegdcaddgcegbbgdadgcfgbedacdgddgbeaecdgdfebcdcddgeafbageddgebgdbeccdgegddbbafdgfbacedeedgfbbgdedadgffabecbfdggdcgagaaeaaeffcfedeaafgcfgeaeabcefeegceabeadfegfeabgabfdggeacfgccgafeacggcebdeeadcfceddgeadeecdaggeadgbdecgdeadgcgcdeceaeafedbfgeaeagcbgefeaedcffdageafcccgedeeafdbbeggceaffggafabeagaaggdedeagabdgddgeagbggcgabeagedcecfceagfaaefcgeagfgdbcbeebafgbfdcfebagdeffeaebagedfagdebbecaeffgebbfabggfdebbfgdeddcebbgefaffbebcbgaeggcebcbggafgbebcdgefabgebcfebfaffebcfecfcbgebcgdcecgcebdcfccfdfebedfbbgedebedfbgebdebefeaecfdebeggebdcbebfadffbdfebfafgagebebfbbefcdgebfceffbbeebfdccgccfebfedbdecfebfeeeafafebffdegeaaebgbaageegebgbeccgbfebggfaedbcecaebdceggecbbfebgfdecbefdfdbeeccfcdfbfdeccgdgdbfaeccgfafadfecdegfgbbaececafcgdeecfagaccfgecfagbeegaecfbfccbffecfcefbbeeecfeaebdgdecffaccfgbecffafbddeecgbedbedeecgbgebdfaecgcfdgeaaecgeebcgadedaccfgeceedafageffaedafgfgbbbedbdfdcdgcedbdggacbgedbegfbbededbgaafdgeedcafaefdgedcccgcdgcedcdbfdcgdedcfdbdefceddagfebageddcbfffcceddecbfcgceddfbbefageddfdebbdfeddggeeabbededcebffbededfaedgaedeeafbgafedefebbdededfagggaacedfbfgdabeedfcdeccbgedfddedfcaedfgccbeebedgacfddecedgcaeeebeedgdcacbgfedgedbadfdedgffdceaaeeabgfdcdeeeadgafccgeebcfeegbbeebgbbfdedeebggcfabdeecggdaeadeeddgagagaeeegabdcdfeeegbaagbgeeeggbcebaeefbgbebeceefgbdacgbeegacefbbfeegbebdcfceegbececfaeegbedgadbeegbfcabdgeegebfcaagefaaceefgcefaaededgdefaccccdggefadfdgabfefafaceggaefagbfcefaefbafdbggbefbbcfdfecefbdccefgaefbdcfebfcefcaegdagcefcdbcadggefcfeadgcbefdacfebeeefdbedgecaefdcdfgcacefdgeagabdefecebcebfefegeaacgbefegfacagaeffagfaafceffbaddcefeffccddecceffgedbaccegacebgbfdegacgcbecfegaddafeedegadgfafbcegaeadefddegagdeccebegbbeegbfaegbdbdbcgfegbdfeadfbegbefccgbbegbfgccfabegbgadagddegbgcgbaecegcbbcceegegcbcdgbfcegccbfggaaegcfedfaadegcgbgafcaegdcdddgcaegdcfdbcecegeabgebddegegdaadddegfafbdcecegfdcbfdadegfefbdbbceggafadcddeggbbdabffeggbebeebbeggccfdccaeggecbdfabfaagffgaaffabaefddfgfadbgcgdbffaddgegbaefadeaggedbfadefaffbefaeaegfcbffaecgafefbfaefdcbegcfaegdcddecfafacegfbefafbbeeegcfafbcffadgfafddacggcfafefgbacefaffabgbdgfafgbbedfcfafgecadedfafgfbbbdffagaagbggcfagbcfbdgdfagdagbefcfbacebgbggfbbbgcgeagfbbffeddebfbcaafeffffbcagfcagffbcdgadfbgfbdcfcefdcfbdcfdafcgfbdedacfgdfbdfedffbafbdgagccdefbebgfdcfafbffgabcedfbfgddaafefbgbgffadafbggbbdgdafcaccbgdgffcafceegdbfcbfcgffabfccbdageeffcccdgedbefcceadfgbefccgdafaeffccgebfaedfcdbefgbfafcdedffbeafcdegadcgbfcdegdgabcfcdfacfceefcdggacbbgfcebaccgegfcebdbecgefcebeeaegcfcebgbafdffcebgcgecafcefececccfcegedacfbfcfbdfdbfcfcfbgbdagdfcfbgdbbgcfcgagbdfeafcgbfcagaffcgbfgbgaafcgddfbdaefcgeagacfcfcgfdcafbdfdabebdggdfdabedeecgfdbbebggcdfdbcccfffcfdbdgcddcefdbegebagcfdbfgfeadafdcbeafffcfdcdacffcffdcdadddegfdcecfbecefdcfabdgedfdcfeaebeefddbdgagaffddbebffebfddceadcfffddddfdedafdddfddcebfddgdcdbcefdeaaggcecfdfaacgdcgfdfcbecbdgfdfcbeefcbfdfcccdbgdfdggaeddcafeaafcfcgdfeadafaefgfeadeeddfbfeadegabeffeafacgegafeafdfbecdfebbdgdfdbfebbfageagfebcdceagffebdfcdcgbfebecfaefcfebfafccgcfebgafgdbbfecacefdedfecagbegeafecbgeaffafecdbgcdcefecfagdabgfecgecdabffedcdgfeaafededbefadfedgeabccffeececeaedfeeefbafbdfeegfabbcefefbccedgafegcdaefadfegdbbdcgbfegdbcdafdfegeagdcacfegeecdadbfegfeabcbefeggbfbccaffaccfagedffagdaeecdffbaceefecffbbdafgecffcbbdceefffcbddcebgffcbdffbebffcdacdfedffceaffaddffdccbgbbgffddaeccfdffdfecbafcffeabcdcffffecgaabgdffeeeddccaffefdbccbefffaddfbcdfffefabacfffgcbcfbafffgdbdfbadfgaaccdggcfgaaggacedfgafdbbcgdfgbddcccgcfgbedgbbdcfgbfaebccgfgcccbcfgbfgcfadagdcfgdaacdcfgfgdbdabgfcfgdcfafbfafgdcgeacdbfgddacbcgefgdfabffcafgdgcdabddfgedcaagbffgefcaecccfgfbbaefaffgfdcdagcafggccbfaaffggfcabdccgaafcefgaegaaffdgacfgabcafggfbgabcdfeegbgabcgbdcgfgabfaaeffggacbeeegebgaccgbeebggacfcfceecgacgbefcaggadbbcfgcggadbfabgffgadddfgceagadeafgfadgadefcdbdfgadfgcgdbagaebggddcbgaecbfedgbgaecdfedafgaeceacegegaedcfgecagafaffdeeagafbedeedcgafdbgcgcbgaffbecbfdgafgeaafgagagcafdcfdgagcddegcagagdbdffcbgagfaefafbgbaddafcgggbaebgcedfgbafcebgfcgbagbdfdgbgbbabdgcgggbbdbegdfcgbbefaecefgbbgfaecbggbcdaegffagbcdgdfaddgbcfbfcdcfgbcfebeagdgbcgaedcdfgbcgfcbebegbdbdegfadgbdbfgdcfagbddbcfafggbdfaafagggbeadeeagegbebfaedcggbecbbegedgbeebfdgacgbefeaaedfgbegcaaefegbfbbgbdcggbfbfadgdcgbfdccdegagbfeeeebdagbfffgcabbgbgdfaccfcgbggdagbdagcafceaggbgcbccgbgcegcbffdgbbcgcbgdeaddegccbffeafcgcccecdfcegcdbbaggedgcdebfecebgcdedfcafcgcdfcfeabegcebbegfadgcecfbbgebgceecfbcgagcegbbfagbgcfaebfagdgcgdcccbdfgcgdcfdaebgcgeaffbbcgdbceddgaegdbdfgbbfbgdbggfacdagdcgcdcacggddbddfebdgddedabefdgddedbcfebgdecbcgdfagdedabfebfgdfadgdbbegdfccbfddcgdfebadccggdfefacfcagdgdcbcdbfgdgddcaecdgeaacacggggeabcgcedegeacbfecfdgebbaeceeggebbgcafcfgebbgcfaedgecbcegbddgecbegabfdgecccbfdedgecefdbaedgecefedbbcgecfcfcbfagecgfaafccgedbfdbdcegedcdaefebgededbebbfgeeadggaadgeecbfcbfcgefbgbedacgefcccbfafgefeebcdcbgefgbacdebgegafdaebdgegfabccfbgfaddgdaddgfadgceaddgfagcdddccgfbacegbfcgfbbdeffacgfbdeaedecgfbfbcdaefgfbgafgdaagfcadcdfddgfcaedaggagfcafdbbdggfcbbccdffgfcbddbbgegfcfcbfaaggfcfddcecagfcgadafcdgfddffacadgfeaaeffcbgfeacgebbdgfebbcdffagfedbbcdbggfedcdbfdagfeedadcebgffbacfedbgffcbbgacegffcceeadbgfgbbdbdddgfgdfdaaccggaadedfdcggabgfbgbaggadeagaedggadecabgeggaeffaafbggafeadbdeggbaggbdbcggccaecffaggcefaaebeggcegdeaabggcgbeadeaggdafbagafggdccbgcdbggdcgadaagggddadcdceggeafbbecdggfbeccaecgggecaabfcaaaacadbbaacbaadbaaafdgagfcgaaffddfdefaagbefdcggaagcfgedbgabbbbacababbggaffgdabcdgeeedgabcffdgbegabcffdgecfabcgbfcffgabcgfdfgbeabecgcggagabeefgebgcabeggefabgabgbfeeddgabgbgdfgfaacafcfegfeacbfgfcdefaccfgeecgcaccgdffbefacebegdfcgacfaedefegacfeegcfafacfffecddeacfgbfeegaacgfbfbgdeadafdfgcgdadagggebedadbbfcfgffadbfeccggeadbfgdebegadbggfcgbdaddbgagffeaddgefceagadecfddefeadecfefegaadfbfdgddeadfcgedeecadfgccfceeadgceggdcbadgdadegdfadgdfgbccfadgeefbefbadgfbedecfadgfgaedceaeagagcfffaebdefgdfcaebdgefbdgaecbbggeefaecggdecfbaedbfcggbfaeddfeegeaaeddgcdeeeaedebggfdbaedfcageefaedfdgeedbaeeffaecfeaeegagbdefaeegeabgeeaefadfgffaaefceddgceaefebfcecgaefedbbefgaeffgaddfcaefgdcadegaefgfccbdfaegfccdcgdaeggcddgdaaegggcebccafbfbfagegafbgefdcedafccafdffgafccbgcggdafcgfabeffafddeefdecafdgabffeeafebgcggadafecccbgfgafedfcfcfcafeffbdaffaffbegeafdaffcgbbgcfaffeffbgcaafffefcbgaafgdadgefbafgebebdefafgeeadagfafgfefcbbeagabeegdfeagafafbffgagagecefgaagbggdbdbgagcccegcdgagccegefdbagcfdbeaggagcgcececfagdadedegeagebeeedbgagfceffdbcagfebdgbedagffcaefgaaggffadeccbaaabadbbbacegddfefbacgbcegfgbadgegefaebadggccgdebaeegdgadgbaegcdbgegbafegdbedgbafegdbffdbagcffgfadbageeafdegbbbegcgegcbbbfdgdeefbbdeeeggdbbbebfcffdgbbefbgbgfdbbfgeebbgebbgadfgdfdbbgdgffeacbbgegbffaebbgfgfecadbbggdfdgcabcafggbfbgbcbdgccgffbcbfcbffgfbcbgfdcfeebccecfddfgbcceeegbfebccffegcgabcdcecgcgfbcdegabfgfbcefbdgfcebcefddfagebcfbgbeefebcfefcecdfbcgbfefgbcbcgceeeeagbcgfgcefacbcgfgebfdabdaebgffgcbdagegagedbdbefegeafbdcdfbfcgfbdcdfgdgccbdcfcdfdgdbddafdeeffbddbffdgcebddegcdbgebddgcffdfabdeffdececbdfadfffgabdfdeedbdgbdggaegedabeagfbbfgebeccfecgfcbeceefbgagbecffeaaggbeddcggbcfbedeefcdbgbeebfcegddbeedeaebggbeeedfddddbeefageefabeefgfcaddbefbadgffdbefbgbdbfgbefegacgebbegecfadcgbegefbgdbcbegfbegfbabeggabbgcgbeggddccgabfbceggcgabfbedeggadbfbfgdbfagbfbgggaeccbfccfceegcbfcefecddebfcgfacggabfecfcafdgbfeebgbefcbfeedfdgcabfefcebdgcbffaeaefefbffbedeaegbffcgbfgacbffdafbgcfbffdccfceebffddafgfabffecffaagbffffcgabdbfgccfcccgbfgcdgbgadbfgdebadgebfgfddcfcbbgaefddddfbgafecbgdfbgbaggdfebbgbgegebeabgcagbggebbgcbfeegeabgccfgebbfbgcdecegdcbgcecdeffbbgcfafdedebgdaefeddebgdbdgbegcbgdcadgefdbgdeedecagbgdfagcgdbbgdfgdbafdbgecdbcgeebgedbdccfgbgedcfgecabgedebebdgbgeefddbgabgeffabcdgbgegagedbcbgfdeeccagbgfgaceaefbggaffefabbggagbgcdccacgbgfbgecadgccegeecadggdfecccaeecgfcgccafbgfcfcfcaffgaedfdcafggafcdecaggacgfbfcbafafggfdcbbbggddgecbcfbcfgdgcbcgfcdcegcbdfeegedbcbebgfgbfccbedfedfeccbeeggebebcbegfbfcdecbgcecgfafcbgdbggeeacbggbecdeeccaebfgfeecccbgdcfegcccgebgcdfccdeecfebgccdegafgebccdfedeeagccfggedbeaccgedeebedccgfdecbeecdafegdgaecdagfegfaccdaggfgcdacdbefcgfcdcdbgcegbfdcdcbefffagcdcdfccgdfcdcdfgdgadcddbggbebgcddggaefdbcdebfbefdfcdecgdcegbcdedfedefacdefbgdecdcdefebfdddcdffbbbfgecdfgegbbbecdgebdfbcgceacaffgdgceadgcdgfcceagegagbecebbgffcbgcecegdfafccedcfgcccfcedcggbcbgceddedbggbceddggadddcedfadgegacedfdbdfbgceecfdcagfceeddgagfaceeedacggcceefbgcdbfcefacfbgeeceffaefcagceffafdbdfcegbgbfcagcegddccgbecegdfcfbfacegfcacggaceggbbebeecfaddgfdgacfafabfgefcfafcebeegcfafgdebedcfbdcffaegcfcbeggdeacfcddccdfgcfcgfedbafcfdaeageefcfdcefbcgdcfdcfaeecgcfebegeafccfeecbcegdcffbbaegdgcffcdfbgaecffcebgddccffcedgebbcffcfbecfccffdacfdcgcffdfdfbbdcffeefdaafcfffcbgeadcfgcebaegdcfgebafagecgaggdfccbcgbcdggbeccgbcgdfgaccgbefabegecgbfdbggcbcgcffgcfaacgdbccgfddcgddddeadgcgdfcaecfecgeacaggcfcgebgeebdccgedeadbgecgeeafbfbfcgfadccfgccgfbcfcffacgfcfadefbcgffcbaeeecgfffdcdcacgfgegccaacgggbcgadbdaagegegccdaaggddfcfdabdegcdgfdabdfcggeddacgagecgedaddcdgfdfdaecdgafgedaefdedgdcdafaggffdadafeeaggfadafgagfcecdafgggccbcdagafdbfegdagagbbfgfdagbeafeegdagccgbfcgdagcecbdggdagedcdddgdagefdagcedagfcegbecdbabgffaggdbcecdfbggdbddfdbeffdbdgaegdfcdbdggdgbbddbeeefdddddbegeebffadbegfdfadddbfcgefbdddbfdbcdggddbfeaagffedbfedggadcdbffbadgdgdbgcfbcfdfdcadfbgdgedcafadffffdcagdefeecdcbafcfdggdcecgagcfddcedbbgeefdceegfcbagdcfeeafeagdcgbgefceadcgdfbggbadcgfefbddbdcggdbagecddageefbgbddagffgcadddbaafgefgddbbgegafeddcdgeffbbddcfecceeeddcgdbgcgbddcgggdcbbdddfaadeggddedbeecfeddfaabdgggddfaefddbgddfbedbfdfddfcgdgbdbddfegdbbfcddffdgeaeaddgaaeeedgddgebecageddggbddgbbdeadcfdcfgdeafbadgfgdebfffbbeedecdbgdfdddedbgfeabgdedecefbeddedefbfdfadedegaffbcdedffegadadeeccfbfeddeeebafggadeeedfaebfdegdebeadfdegffaebfadeggddbddbdfaefdgbecdfagegdecadfbgcedbgcdfcccggbgadfcfadfceedfcfgbbecedfeabdfcffdfedgcdbecdfeeaeebeedffbbdcfgcdffdbfbagedffdcbeagedfgaddacgfdfgcaagededfgefaceaedgaaffbcfgdgafbcfbffdgagbcdgdddgbadgfaefdgbbdbdfffdgbdgeaeagdgbgadbgfcdgbgfeeaccdgcacgaffedgcbggdaagdgceebfcbfdgcgadacgfdgcgfgaadcdgdbagaeegdgdebdcdfddgdfagfccbdgdgeafaecdgeadfeaeedgedaedgaedgeeceedaddgeedcgebadgeedfbbfbdgfbaagfcfdgfbeagbfcdgfcfeabfcdgffcadfaedggbfgadcbdggcadggbaeaaeeeefeeeabegeggaceabgagfcfeeacggdgbafeaefgadgdceafccggdafeagbgfcfcceagcbfgdceeagddgaeedeagfddbefceaggbfdgcaeaggbgbgbceaggdabfgceagggdagacebaeceefgdebafbbfggeebaffegcceebbcdgeffcebcbgffebeebdfdggaebebebdcbgfgebebfbecfgebefafgbgbebfbagegfbebfcgeddcdebgccdgccfebgfaeegadebgggfdbabecaefecbfgecafgdbgececbbgeceefecbgfaedgceccafgaeegeccdeffcbfeccfdcddefecdbgbfagfecebbbgdfgecebedgbdfecedaggbdeeceddcggadeceeaeebgeecefabddfgecegaaegedecegedbdagecfebdffdbecffgabfcdedadgfddecedaeceefgbedbbfdfgbeedbedagedfedbefedgadedbeggfaccedcbggebagedcefgdcccedcgbeaedgeddcdagfbgeddceceddfeddceggbdbedddcbebggeddffdaddeedeadgdffaedebggebaeedeebgbdbgedeefbebfcedefbbdfcfedfbgdagbeedfcfcecfbedfddbdagfedfdegcagaedfefbdcgaedfefdbfbcedfggddacbedgbbgeeccedgdceabgeedgfcafcecedggcagbebedggdcceadeeadcddgeeeeafaaffgeeeageegdaceebceffadfeebcefgcbeeebeadefeeeebfggbbebeecdfgadceeececdgbfceeceeededbeecfdbbfeeeecgacfaegeedafggccbeedbfcdbgeeedcgdfafbeedebfbbegeeegagbacgeefabfaffeeefafcdbefeefecbgcbeeegccbfbfdeegfcadebeeeggbagebbefaabgfcffefabdbedggefabdcffdfefagggcccaefbgbdgdeaefeadcfefbefebeddaefefebgdegaaefedbgacdfefeffbadageffacbfagfeffaeecadgefgdccfafbefgecacgbdegaafdfaegegaagdadgfegabbfcgfdegagabgddeegbbgbffbdegbbgcgbbfegbdgcbeecegbfebdfbdegcdccgadfegcdddgbdcegceabbfegegcegeadbdegddbddgeaegdeedgbcaegdgdabgaeegecgdddbbegedgdaecbegeebcegacegfadcgcbeegfbcbdbegegfeaaefbeeggbcecdafeggecadcddeggedcbddbeggeefaccafaaeebgegdfaafggbgeafaaggfbbfefacabfgegefacbegbgeefadbdcefegfaddegaddgfadefdgbgafadfbcfecgfadfcegedbfadgdddbfefaedadgdgdfaedbfdfbgfaedecefagfaeedbgagefaeefdgbdcfaegfcgfaafafcdeegbdfafdgafgadfafedbggcbfaffaeageefagbeefbbgfagcdedecefagdfcdgadfagfbefgabfaggaafegbfbaffegacffbaggcebdffbbdebgfdefbccggeeadfbdacgfbfffbdebfgacgfbdfggcadcfbebadffgdfbeeaecgedfbefebffcbfbeffadfbefbfcbfdgaffbfcgeeagafbfebdcbgffbgedfeaebfbgefecceafcacgegagcfcafggagadfcbfagfdgafcbfdefdaffcbfgabfcgfcbfgfadgafcbgadgdbgfccabeegeffccaefbfeffcccddcffefccddfebcgfccecdfefbfccffabfeefccgabbgegfcdffddfcafcdgdecfcbfcecdbcdgffcecdbgdedfcecdebecgfcegcegcacfcfafbebegfcfagadfbgfcfbffafbefcgdbgcdebfdacbbggdgfdaccedcggfdacefbedgfdaeceggadfdbdcdebfgfdbecceegcfdbeeagecefdbgcfbgdbfdbgebddcffdcfcgageafdcfefacdefdcgafcebffddcccfceffddfbcdbegfddfdbgddbfddfgbddaefdebgfaafefdegadbfcefdfaadegedfdfabfcecgfdfafcddgbfdfbgceeadfdfdabfceffdfdbfcecdfdfebgdebbfeabgfcffafeaefgabeefeaegdadgcfeaegdebecfeafebgcgafeaffcfcdcfeafggcabefebebdbcggfebeccgefafebedefdaefebegfebbcfebfefgdaafeceadffbefecedadgagfecgdddafcfedcccgadgfeeaeeeedbfeebegccfafefbcgcdcdfefbfcccedfefdcdcadgfefdeagafbfegaafdgaefegcacedcffegcceaddefegcfaedaefegdabdecffegeegaaaeffabgbgedcffaegagcbeffbdeeddbeffbfbbffafffbggcaeaeffcadgbddfffccadfgfaffcdaccdgfffcdaefcfcffceacdgecffdbbbgfgaffdbeccfagffdccffagaffddfdccdcffdgdbeeacffeabecggaffeagcddafffeeaebebffffaecacegfffbgaceaffffcbbgaeefffdfaeagafgaaffgcbdfgabcecdfffgabgaeecffgacgafagdfgadgfcceafgaeeadebgfgagcedddbfgagececbdfgbfbgadfbfgcacaeffefgcbafbfgcfgccaaefdgfgccgbbfdcfgcecdagebfgcgaaaegefgdbdgfaccfgdbebcceffgdeeccadefgebdegdabfgeecdacedfgfbcefaaffgfbffacbdfgfebadebefgfgbaefbafggbbbffdafggbcedaecfggdbafccdfggebdbafcfggedafbcbfgggbabdfagaagbecgcggabgeedcedgabgefbeaggacbecffdfgacebgeagegacfbgdddegadadgbggcgaeagdccgegaedcacfgfgaeddbgbfegaegfaebbggagdfdgcbbgagecccecfgagecedacggagffceeabgaggacgabggaggbbbfgbgaggcacgafgbacdgdgddgbaegggabdgbbafgcgecgbbcgagfcegbbebfedeegbbfagfadggbcdbegaffgbcddegdfagbcebcdeffgbcecdgdecgbceeecccggbddeafgfagbdffgcccbgbdfgbeagbgbeaefedbfgbeaggfccbgbedaeccgfgbedceecbggbeedbgeeagbfafecgeagbfafgbeebgbfbcaeggcgbfcebegccgbfdbgefcagbfffdbafcgbgbafgddcgbgbgcbbefgbgdfffbabgcagdbfbfegcbbegddfcgccfbcdfgbgccgcffbbdgcdcbfdfcegceagafdedgcecbbbegggcecbddagggcedbgbcfdgceddedadfgcegaafecegcfabafegegcfacffbcfgcfbcddbffgcfdbdbfbggcfedccbgcgcfedcddfagcgbdcbfbggcgbffbadegcgcfafecbgcggfcbbdbgdabaggeedgdaeefcdgagdagcggadbgdbaebfbgggdbaeeeffbgdbbedffcdgdbdfedbbggdbefbgfacgdbeffbfcbgdcaafefcggdcafbdffdgdcbdfedddgdcbgddfccgdcdcdefbegdcgdfbcebgddaadefefgddaeebefdgddbggbfacgddcbdecfegddcdacegegddcebaeeggddcgcaedegddgccagebgddgccfcbdgdecbfbagfgdecggbeabgdedcdaefdgdeeagbdaggdefeccecbgdfadfeeadgdfcagbcfdgdfdaffddagdfecfaafdgdgbfbgbbdgdgcfbgaaegdgebbbdeegdgfaabgaggdgfdbfcacgeacfbaefggeaegeccbegeagafbgfagebaefecbggebfaggebagebfeedbebgebfgafceagecaddecefgecafcbbgggecbbfbegdgeccafdfbfgecfaeeedbgecfcagbdegedbbfdaeggedcefeadcgedddacdefgededdadcfgedgebbbcfgeeadedccfgeebefbgbbgeecfdedacgeecgebagageedagcbdegeefbcbebfgeefdbbfccgeefddbcbegefebafbfcgefgdbaebdgegbcceddcgegceafcccgegcfdaddbgegdaceebdgfbcdcffaegfbdefecbcgfcadgbgdbgfdaeeaafggfdgaaddfcgfdgccbebdgfeecafgabgfeedcdbfagffacdcccggffbbfdgabgffbccdebegffgdafdaagfggcbdaeaggaaabgfgdggadcgdecbggafddfbdbggagbcagbfggbadbecffggbeacfbeeggbgddadfaggcbgfbdbcggcdddcfcbggfadagfacggfafadbcfggfgabfaccgggabgfbcagggcecbabfgggebaabefaaebefggeeaaffgggaagaafggcegcdaagfbffdfeabbffeddggabddfdgefeabddgaggdgabfagcgcggabfbdfgdgeabfcffffgaabgeceeegdabgegdbfgcabgegeeeafabgfcffdcfacbddfffegaceggafgdcacfcgbeggcacfgffedaeacgedfggbbadbcbggegfadbffggdcdadcegdbdggaddfecefeeaddgdegbeeadebbdegggadfbgdeeeeadfdcecgefadfffdffadadffggbddcadgcdfdgddadgdfbeegcadgfcgddbfadgfdcfeceadggeaedgcaecbfgfffbaecfffedddaedcgefddeaedddafgffaeeffaggeaaefbefbfgdaefdefddedaefegfeceaaefffbdefcaegcdfgbcfaeggcgageaafaegdbgdgafaegdecffafbggdedgaafbggeceagafcbfgecfeafceffffcbafdaffagegafddfegagcafdfgddefaafdgddgbgbafecefcaggafecfegcbfafefegdecbaffddfcgcdaffeccgfbeafgeddbefdafggdcbegbagabcffegfagaefacfggagafgfcgaeagccfeecgdagcfdfbgbfagcgdbegfbagdffegabeagefeaafffagfdcgfdccagfecdbfgcagfegadcgcagffcfbfbeagffffecacaggcfcccgdaggdbgcfebaggeebbgfbbaaeacaabbafecggfbebafffgbfddbagbebfgegbagfbefbfgbbacacacabbbeedgdfgbbefggfdcbbbegedgcfcbbfbccgffgbbfdeddgcgbbfeaegcfgbbffcgfdbfbbgaeefdffbbgagfggadbbgfbdggfabbggaecgdfbcafgefdgcbcbfcdeffgbcccbdggfgbcccffgbegbccffgafgcbccgdfcdffbcdeedgfagbcdfbfbeggbcefbeggdcbcfbgcfcgebcfcgdgfaebcfdebgfgbbcfecagggcbcffgbagdfbcgaggbffcbcgdcdffdebcgfbeffebbdbgbgcffebdbggdagfdbdccgcgcffbdcfcegafgbdcfgdfcedbddbdgcfegbddefafgdebddgbfefcebddgdgdfaebdefdefdddbdeggdaegbbdfagfegbdbdfcgbeedfbdfecaedggbdfegccffbbdffaeccggbdgadfcgfdbdgecddfcfbdgededbgdbeafgdggadbebegegbdebebffafegdbeccfdfgecbecefcgffabeddgdfbcgbeeafeedgdbeeagefegabeedbgfcgcbeeddeggcbbeegcdfdgabeegceacgfbefdgbeeecbefebfdfgabegcecefecbfaafffgfcbfaecegcegbfaeegbfgcbfaefafeegbfafgdgacgbfbbgegdfcbfbfegegacbfcbegbfgdbfceagggaebfcedffadgbfddggbgdabfdfgaageebfedggeacdbfeeffbgadbfegfdbcedbffaggeacfbfgceeabfgbfgdgfebcbbfgebbgcdfbgaaggfecebgafebeeefbgagagffbebgagfaceegbgaggbcddgbgbdgcfaffbgbfffdcagbgbgggddcabgcecgfdcdbgcgbcffddbgdebdgfdcbgdedfbgcdbgeaffcafgbgebagfbgebgebgcbcgfbgecedgddcbgedbfgdfabgfdbfecgbbgfdddfeccbgfgbbcdgdbgfgbccdcgbggedccgeabggedfbadfcaaaadadacaagbggdegcacgfgefeacacggdffdccaddgfebffcadfgeegbdcadgbfbffgcaebgafgegcaebgbgdfgcaecbefgegcaegfcecefcafggfbagdcagdeaefegcbacffdfgfcbbabaabccbbefecfgecbbeggeeeccbbgcgbegfcbcbagfggfcbcbffgfedcbcgcebeggcbdedgagfecbdffbecgfcbebgdfffccbgdgaegfbcbggcabfgfccaeedfcggccaeffdbggccbbgggffaccbffadfgfccecfegecdccegaegccgccfbbgfffcccfeagffbeccfedfdageccfeeegddbccffffcbcfccgcddffceccgebbegeecdbefdceegcdbfggefcacdcdgeeefbcdcefefadgcddfdddgcecddgfdfdaecdeabeefgfcdeadagggecdedecbfffcdeebfgeafcdfafbegeecdgcbdagfgcdgeebbeefcdgfgbadfdcebbeedfgecebdggceagcebebggcfdcecdacggefcecgaegdfccedbegfgdacedbgfcegbcedgecfdafcedgfcafbgcedgggfbabcefbgbfgeacefcdaffgccfbbffdgeccfbdadgfgdcfbgaffegacfccgdbdffcfcfcgfdaecfcffafeeccfdagfecdecfdcbcgfcgcfddcggfcacfddebaffgcfdefdceddcfedgbfagccfefefbddccfefgbfddacffcadfdgdcffcagfadgcffceeagfbcfffgeeadacfgabfgdbfcfgbeadfeecfgdcfcgdacfgdcgabefcfgebfgadccfgfbfdcebcfggcfbafccfggfddbdacgabefbfgecgacffaggccgafgdfdeacgagfcdbefcgaggccgdbcgbbdfgbfecgbdegagfbcgcbcfcffecgcdebgagecgcfgecdaecgdbfadfdgcgdcdgdbeecgddgageeacgdgddabffcgecccffgacgfcdgdabgcgfecfcadfcgfeebbgafcgffddccddcggcddfbeccggceeeceacggfgfdabadaafgbdgegdacdfefdgddadaegfcfgdaebgbgdffdaedbfdegfdafgccgaffdafggebdecdagaggcagfdagccecfffdbaegefgafdbagcfggebdbbgfeadfgdbcbegebggdbcdbeffegdbcdfggcdddbcfdddfgddbcfgefebddbcfgfbbgedbdecccgfgdbdfcgadfgdbecebggdedbfeggdbbedbffeebfgadbfgdddbefdbfggddafcdbgfecdcdfdcacfgffcedcagadgffedcbadgggeddcbagdcfggdcbfafgcffdcbgcefededccafgcgfddccdgbffeddccfddeedfdccgegdbgbdcdcefeededcdfabfgfedcefeagfdcdcegefdccddcfbeecbggdcffegaceddcfgdegaafdcfgdfacdfdcgbfacfgedcgbgfaefcdcgdbcgagfdcgdfbddeedcggeccafeddaegbgcgdddafbgcggcddagfbgcdfddbddgefbfddbgdgbdfdddbgefcgdbddcdcffcdgddceebcfffddcgggedabdddegdaegcddeeabeefgddeedcdfedddefcegabgddegbdfdceddfdefdeaeddgfadbcgfddgffeecbbdeadeefecfdebdegefaedebgdfebcfdecfagdegbdecffbeegadecgcegdbddecgfaceeededabbgeggdedcbfeecgdedgdbaeegdeeabgcfefdeeddbecffdeededeecddeegbfacdgdegbbededfdegcdaceffdegcedafbgdegdadegdcdegdebggbadfaagfffcddfadbcfgefdfadecedffdfadfgbagfdfbddgfcdddfcagebcfgdfcbcfgbdgdfcggdcbcedfdebfbfeddfdefcdbcgdfdfdgbacgdfefcbgbdedfeggbeaafdffcdfgaebdfffbcefaedffgafaceedffgfdcbdbdfgbecfdcddgaeadfdegdgafbgcdeedgagfadeeddgbffaceeedgcbdgdddedgcdcfcdgcdgcdcfdedddgcfbgdgcadgcgfabgafdgcgfbccbgdgdbdfeeebdgdbfecbfedgdefafedbdgdegdcgbadgdgfdfbacdgdggebeabdgebbddefedgecfebfaedgeeceaffbdgeecgdceadgeefbcdecdgeffcebeadgfabdfgebdgfaebgebedggbfeacfcdggcadebefdggebefbbdeabaggeedgeabcfdgdegeabeegegcdeabfggcgbdeaceggdeebeadfbfcgdfeadgdgdbeeeaeacfggfceaefecfddeeafddceggbeafegbcgceebbdeedeffebbfdfgafeebbggfcdecebcdfbbggfebceeacgfgebcfcbeefgebdfeffebcebfcgcecgcebfebfbgedebgccfbbggecafdgeefbecaffdadggeccbdgdcfgeccbffgfbdeccfaffgbeeccgfcaedgecdaefdgbgecdgadgbgdeceadfdfdfecedcdfffbecegeeccgaecegegcecaecfcdbgcfeecffdceagdecgdfebgdaecgegbcfeaecgegbgdbbedafeddgagedafgedgcbedceebgaegedcgbdaefgedddcfdfeceddefffafaeddfbeeeceeddgagbdfdedeffgacebedfbedbgcfedffdcfbgaedgfbabfefedggfaagcceeadeeegdceebegaedcgeebffaecgdeeccgccaggeecefcdgcceecfbacffgeedcacfgfdeedeegdaceeedgecadeeeedggaeadeeeebgacgcfeeefbddbdgeefdccecdfeefdcddgeaeefgabcedfeegeeecfabeegfafbfbdeegfbeecaeefaffgfadbefagdegecaefagfdbgbdefbbeabgggefbbefgfdaefbfgcefbbefcagacfffefddbdfbgdefddcagafgefdfececdcefebagbdffefebedbbgfefecfbcedeefegaagbeeeffcdcbedfeffdagdafdefggeaedacegaadbeggeegabaffgedegabdbggfcegadbfdffcegafgadeecegagedaegbegbdedgbecegcfdadecfegdceeagfaegdfbcfddcegdffabddeegdgaffeabegdgbefdacegdgcbdagdegdgdbdbbgegebcfacffegecdgfadbegeegaccfbegegadaefcegegdbecbdegeggcecaaegfaabecggegfccebceeegfdefebacegffbfbgabegfgcccbgaeggbbecbefeggbdagddceggbeefbadfaadgdgedefaafgcgdedfaagbcdfggfabadffgfefabegbffbgfacfbegfddfadcfbcfgffadfdgagfbfaecddgebgfaedegecagfaefaccfgffaefbedfedfafcddfgebfafcefgcfafafeegfadcfagbeefgbcfagdccecfffbacgagcggfbaeccefgffbaedggbgcfbagadgdgefbagfcfcdffbbcgccggdfbbdbgdcggfbbffdaffefbcfdcfgaffbcgebfbgdfbddgfgdbbfbdeeegfbbfbdffgcgabfbdfgdafagfbdggedfbafbecggbdfbfbedafbffffbeegbgddbfbefdeafgbfbeffeeaagfbfffgbafbfbggbfbdecfbggddcgacfcacegcgbgfcaegedbgdfcafceedgdfcbeegedbefcbgfecfeafccdcgegdbfcdddgadfefcdegeagbdfcdgcgdagbfcdgfaagdefceadgccgefcecfadegdfcfeeecgbbfcffgabefbfcfggaagbdfcgeaagcfefdaagfdfgbfdacfdfedefdaffgfdbbfdagcggaagfdbbcecgfffdbgcccgfcfdcaaffegefdcdafgfcdfdcggcaddefddddggadcfdddebfdedfddfaefecdfddfdfcdebfdecegdbcefdedfbbffcfdeecgbedcfdegadeafefdfcbgdebefdgaaeeedffdgeccgcaefdgfdcagaefeadceeefdfeaegadfedfeagbfagcffeaggccccffebedebegcfecdfeaffbfecebdfeagfecfecebdefecfgddfbafeddebcgddfedfeaefeafeeaagdgecfeeddeaebgfeeeadeddefeegaacdgefefaadfgcefefbbfdceefefbfgecbbfefbgfcbebfefdgedccafefecaaefffefgebadfbfegafgecacfegbeccbdgfegcdeagaefeggfcdbbbffaaggedbeffacbfffddffadfbgbeeffafcdebfeffcfbfebagffcfecbdfcffdcagefaeffeabecfcgffeaecaffeffeafgedacffecbagcefffedafbfagfffaegbgcafffcdcgaddfffdfbcgbbffggfbadbcfgabagddgefgabgaggccfgaddedefbfgadgdacfefgaecbfgbefgaeebbeeffgbcgebedcfgbgecfcdafgccadeedffgcceegccbfgceecbdbgfgdedgacebfgdgbacdfdfgebgebcebfgecadfbfdfgedafdadffgeedfcbaefgeeeceaebfgfabfcddefgfccdfaddfgfdgacbagfggbcgadbefggbecbdagfggbgdbecafggcbeefbafggdaeaddefggebbafgafggecgbbcbgaabggfdfcgabedggbgbgabgaeegbggacdfeeagegadadgeffcgaebegcfaggaedecdeeegaefdfdeccgaegddbgfagafageafcggaffcdbfgbgafgcafaeggafgeacdgcgagbcdaggegagfcfgaccgaggdagdaegbabffegaggbafbgegebgbagagfbfegbbaefdfdggbbafedfdggbbbcgcfeggbbeeefebegbbgedecbggbcbcfcdgggbcegceeebgbcfgcddecgbdbfecddggbeadecgdfgbeffdeddagbegcfadfcgbfbcfgaeegbfbecegbegbfddbffebgbfecgacdfgbfegdcgbagbgbdbedfegbgbdfbbffgbgbgebedcgcabfcgegcgcbbgeccffgcbffagdgagccaegebefgcceegfbaegccfeffaafgccfgebbdegccgbbcffegccgbfacgegccgcbegbegcdaegagfcgcdafbfgaggcdccggacfgcdgffcccbgceaeefgadgcebgdebgbgcedafgbedgcefdafafegcfacagedggcfbcddgfbgcfcbfaegdgcfceadfbggcfcggdcacgcfdebgabggcffbgeacdgcffgfbcbbgcgbcbcdgfgcgbcgeddbgcgbfgdcadgcgcbcgfccgdaafegdcfgdacdgfcdegdadfafdfegdbacegggagdbafgadffgdbgcfebecgdcbbgfebfgdcbddgccggdcdcdfegagdcdecgdebgddagefcdcgdddeafaeggddebefeaegdedfcecafgdeeacfgdbgdefadcfbfgdefdcadfdgdfcaagbfggdfddeaaffgdfdfdefaagdgaecbgcegdgafageeagdgcdbbfgbgdgcdedbgagdgcgdfabcgdgfeafadcgdggeaebccgeaaegcgaggeabcdffdfgeacdceegdgeafcbdgfcgebbeacggegebddeffadgebdgfdafbgebfcfcbdfgebfgdaeafgebggacdbfgecbeebgecgeccgbaefegecdggabfbgecfaddbeggecgdaecedgedfcdgeabgeedagagfageefcceeadgefedebfcagegaabgebggegbcdfacfgegbgeacfagegceabgebgegeedbacegfabcgcfdegfacfafedegfaddcccfggfagbebfcegfbbcdeeeegfbgaffaaggfcdcaffddgfcecccgbegfdabafeffgfdabagfcggfdagdegbagfdbeagfdbgfdcgbeccdgfdfbdccbggfebdagadggfecgcdaecgffaagaedfggabgegbccggacaggacgggaceeaecgggageceddaggaggfaafaggbafceeecggbbbcbffgggbggccbeaggccdfaebfggcdadgbcfggcgbaagedggddfcbbbgggdecbfddbggeadfaeddggebffagabggebffcbbdggecbafeceggegcbdbdcggfaacfeagggfbadedfbggfccdcafdggfdcbefcaggfffccbbbggfgebbeabgggacegbcbgggbcageadgggdaaffadgggdfbaedagggfbfbcbbgggfcgaaadaadgfdgfgbaafcfedggeaaggedfcfeabbgeggffbabcbggdgffabcgggcecgabegcfbgegabfgbdfgeeabgfddedgeabggcgegeaabggdfdfecabggfebgfbacabbaacdaccfddeggeacdggfcafgacefgfgccdacfdegdeeeacfgfcbgfdacggfccefdadaecgffegadagggbfgcadcbcgfggeadcbgggfagadddcfegefadeafgegbgadebggffcdadefeeffcdadfedegegaadgbggedgaadgcdgfcdfadgeagfcdgadgfbdcfegaebffddggcaebgdgdfedaecffedfgbaedababaaaedeggbegbaedfdgdbegaedfgfdebeaeeddgfgdbaeedgcdbggaeffbfgcbgaefggbfbbgaegagdddffaegdcffeecafadggfgaeafaefefcgeafdgcbgcgeafebgebeffafecededegafeddbfffeafegfeeebcaffeeeadegaffgccbcggafgdaefcffafgdecdbgfafgeccbggdafgfcafgbfafggdbdafgagaafbfgggagbggfagafagcefedefcagcgcefgeaagdbfeffbfageaggbgagagfacbfgffagfefbfdddaggebefedcaggeedgbfababaabaddbabgaaababacdaabacbadadababbadgfcbgfgbaeafggbggbaeggcgfcdbafdeegdefbagffebefebbaefegfdgbbafdeefggbbcbgdefggbbfedcgegdbbfegcbgdgbccggdfddebcddeffdgdbcdfgcbgefbcebgffebgbcegfbgbfebcfedefgcdbcgbfeeefdbcgfcabgggbdagfgeebfbdbeeeggagbdcaabbbabdcbegfeefbdceegdgbfbddgdfdgcdbdegeeefdbbdfbagggcfbdfdgecafgbdfebfbdggbdgdfbbggdbdgfceedcfbdggbbgeedbebdcgfcfgbebggdfeebbebggefbfcbecggfbegabedaecgggdbedcfegffabeddeecdgfbeegfbcfgbbefedbcgdgbefgabfcfgbegdaebeggbegdfgbadgbegfgbfbbfbfacffgbffbfcbaffeggbfccffcgbgbfcfgaeecgbfcgegcfbdbfdggfadbfbfecagcfffbfedbgeedebffdgecdecbfffaefgaebffgfdbeebbfgbcdgefcbfgbffbefcbfgcebfafgbgaacggggcbgafaggbffbgaffgdbeebgbceeedegbgbeefffdbbgbffgbcdfbgbgddfgeabgcefegbfbbgcgdafeeebgdeccdggcbgdfcfaefebgdfdgagebbgedcfcdefbgfcddceefbgfcedcfgbbgfdcgfebcbgfgcfgaeabgfgddaedebggcecfgbcbggdggaddbbggfeccbgccabcgfggfccacbabaadcacfefeefecafbgecefgcafcacggggcafebgggfacaffbgdefecafgefcffbcagbeafggfcagfedagefcaggbebegfcbadeeegfgcbagdgeedgcbbeecfeggcbccabbaacbcegeceffcbcgadgfgecbdbababacbdfgdefcecbdggeebfdcbebdbgfggcbedeegcfecbefgfbafgcbfaggefgacbfdfggdaecbfffefddcccbgdfdgedccbggegcddccebegaffgccefgfecebccfdgfeagcccfebfgccgccfegagbefccgedagggaccgeeggdbbccgfbbgfgbccgfecaeegcdcegefgcbcdcgadgfeecddbgccgegcddefgdagdcddgfdbdefcdecgcfdfdcdeegbeebgcdeggfbcbfcdegggagbbcdfcdgbgfccdfdfgfbcdcdfedceedfcdffbdefedcdfggeafdbcdgcffcdgbcdgedfddceceagfdafgecebdbggefdcecaggedcgcecdddgaggcecfeegcddcecgbgedcfcecgecccgfcedbgefgeaceddeffdecceebcfegdeceedgfdbgbceeegdaegcceefefabffcefcdfdbegcefcgebegbcefeddfdbfcegbbgfgdbcfacgdgdcgcfaefggafccfaggfccbgcfbgaedeegcfccedggbecfcffdgbeccfcgfgafbdcfdcgefeaecfebeeegcdcfeeeeebedcffafedbgecffcecddgdcffcgfabfecffebedefccffedcgdafcffeebfedccffffcfbafcfgcfccefccfgdcdcfcfcfgdedffcacgadfdcgeecgaegfgccccgbddgfbfdcgcgcbgdfccgcgcggcdacgdcgeegcacgdebffedccgedcgfdeacgeddacefgcgegbcdcefcgfafdedgbcgfaffceddcgfddgbeafcgfgdeebaecgfgedadeccggcdeagfbcggdcfdgaccggdfbfbbfcggedegabdcgggecebdbdaadcbaaadadfdfcegedadgegfgcadaeeedeffddaegdefccgdagaceffffdagdcdcgffdagdcgecefdagfgccdeedbbdgfgfdcdbcefdfgbfdbeecdffcgdbeedaffffdbefggceeadbegfecceedbfddegbdgdbfdeecbggdbffdggecadbgbadggdgdbgcefecdfdcabcaaabdcbdbfgeegdcbfgecfcfdccffgfafcdccfgdcedfdccgegcfdcdcdggbgbgbdceadfdegfdcegcbafggdcegdfbfgadcfbdbeffgdcgaffbdegdcgagceddgdcgbfggbbedcgffacefdddabcfgfgeddacefgbfgddaegcbffgddagggeafcddcgggafbdddddfaggbfddddfegbedddeacfdgefddedfdbbggddefbgegcbddfcgfdbgbddfdggdgaaddffbddddgddgcbbgggbddggegebbbddgggeecabdeadfcfgcfdeafbcfegfdeaggecgeadebedfgfaedebeggebdddebfgafgdcdededfbgcededegdcdbgdedgabgcgedeeagfeeafdeecebeedgdeeffbddfcdefbcfefdddefecdfafedefgcbagcgdegbefaefddegdbgbgfadegfcgcddbdfaffabggedfbcdegagfdfbdcgccfgdfbdefeeagdfbdffbgcedfbeffffcadfcaggcbffdfcbgfcgbedfcddccfegdfcefcfcbgdfddcffaefdfdffbfcecdfdgbfcfdcdfebacfegfdfecgbeccgdfedfdfaeddfeeaggdbddfeecdgbeddfeedcccegdfefegdaebdffafgfbdcdffdaggaeddffddceebfdfgedfadfbdfgfaffeacdgabgfgcgadgaeeaffeedgbccggeebdgbebbffdgdgbefdbbfgdgbgccfgdbdgcafcgfcedgcddbdgcgdgcgecgabfdgdbfdfbcgdgdccdddffdgdeddefdbdgdgecfecadgedgfabdedgefececdcdgefeeagdadgfadefbcgdgfeaafcgedgfecacgcfdggdbgdbgadggecgbbddeabecfdfgfeacggcdddgeaegabeggeeafbdgecgeeafgdccedgeafgfdacgeebaffgbegdebdegedeceebefcccdggebegggccbdebfcccgdegebfegegeabebfggagbgaebgbegcgbeebgcgfeedaebgdfbfefbebgecbedffebgfgbdbfdebggfagdaeecabdgegfeecadgbgcgfecagbefcgfecbbccgggfecbbeggcgdecbfdbfeegeccefdecfeecdbgeaegfecdcefeffbecdcgcdgcfecdfbdfgageceeedagcgecfbffaefeecfdgdgaddecfeaefgafecffcefbfcecgaaecgfgecgbdgcebgecgcacgffdecgecegcebecgegcafgaecggceeadeedaeffggbbedaegbggfaedagcgeageedagddfdeeedbdgbebggedbdgcgefbedcadegedgedccgefebeedcdefggbbedcegefcdceddbfaegdgeddeaefddgeddfdffacfedeegdddfaedfagdfdecedfcbgaegeedfdegbdbfedfedeggaaedffcffbafedffddagfbedfffeacededgbfdaeefedgbfeddceedgceadgbgedgcegeceaedgdebdgfaedgdefebbeedgdfbcefcedgeabeffdedgedebfafedgfgbaeceeeaceegcdgeeafbdfgdeeebageedfeeebbgfgcbfeebfebbgdgeecagfbedgeecbbffggbeecbggebdeeeccfcegfbeecgcebdgdeeecegdceceefefbgdcbeegcfgagbbeegebfdfdaeegedccdbgefacagfgdeefaeecdegdefaffabegfefbafgdfbfefbdcgagdfefbgdadgbgefccdcdegeefcddaegfdefceefeccdefcgeabggbefdbfedcdfefdcebbgefefdfcdccgdefdfeabggbefecddbgcfefecfecccfefeedbededefeffccbedeffafdefbdeffbebbegeeffcfeaageeffdcccdfeeffdceddfbeffegeacdcefgcebgbfbefgebcfeeaefgggbcbaeegafgbcfecegbagbdcggegbebfegaeegbgcdfdafegcbegcfdcegcbfbgaegegccgdbcfeegcfecdecdegcgecbbgdegdbaagefgegdcdgfddaegecfaebfeegeddffebaegfageabgdegfbfcgaagegfcdagaefegfgabbgecegfgagfbcaeggadaffbfeggceebebdeggfdcedcaegggfeacbbfacfgecfbffacgafffdefadbegeddgfadfffbagffaeeeegeeafaefdgegcafaegbfgcfbfafaffffbefafbgcgceefafeaegedefagdfeaffcfagffcddecfaggdaffcdfbadgegbeffbafcefdgefbagfdagfefbbgefdgbdfbdaggffaefbdecgfagdfbdgddfcgbfbeafgccgefbecffcdfdfbeedbefcgfbegedacegfbfddgegcafbfdedegeafbfdggbbfcfbgbgdcagffbgdceggbbfbgfcdddedfbgfcgdfcafbggdgeabdfcbcdggddefccbddffeffccdcebeggfccdfcfbgefccdgaegedfccedbfcgffccgfggbacfcdbagegdffcdegfegaafcdfgfecadfcdgaaggdefcdgbfggabfcdgcfbfddfcebfedafgfcegedgcbcfcfcgggcbafcfdegcdaffcgafdceeefcgccbffbgfcgceffbdcfcgdeabfeffcgefdcbcffdbaegcfdgfdbeffdgcbfdbfebfddffdbgegcccefdccgbgegafdccgecdeefdcdcfgafefdceeedfaffdcgebcaggfddgeaebfefddgfgaebcfdebcdgddffdedfafeagfdeecgfebbfdegcgcbfbfdfaaeeegefdfadggcdcfdfaefggbafdfdgdbcdefdfgecbaeffdgbegdfbbfdgdfcaddffeabfedgbgfeadfgagagfeaeedfdbgfeagbdfedefeagecffaefebbggfdeafebfdgcdbffebgdbgedcfebgddagedfecddecdeffedcadfggbfedcgdddfbfeddgbeebefedegbgbbefedegdcagcfedfageeaefeebgcbfdefeedaefgdbfeedagdbgdfeedgbccdffeeegfadbdfeeegfgbaafeefcdfbfbfeegcgccaefefddebfbefefdgbacdgfefedcebfcfegafagafefegbdggadbfegfcecbfbfegfgecaadffabaegfefffadedebegffadffdefaffaecebfefffbbfcgcgcffbcffedebffbececfedffbeedbbgfffbfbcgaegffbfeddagdffbgeeccecffcadgfdddffcbffceagffccecedcgffcfeagcbfffdebdgbgbffdfddcafeffdgceecaeffdgfbaeddffdgfcdabfffefdfbbagffegdccbbgfffaeebedeffffaedaeeffgadbedgcffgcgeaadeffgeeagaafffggdeaecafgadadgdgdfgadbdgbegfgaebfafdgfgaedecdcgfgaefebecefgbagfdaeffgbbgegecafgcafcgccffgcbdedgfafgcbfgbgcbfgcdefcdaffgcedcgdaefgdbbdfgbefgdbdgcbcgfgdbgegbadfgdccggcadfgdgfagdabfgeafeafgafgebddfcgafgeccabffffgecdaafegfgeedbagfbfgefbefbaefgefbfbafdfgegcfbcccfgegfabccefgfafbcecffgfbdccebgfgfcbebedefgfcfeafdafgfdedcaedfggdbgdbaefggdddcdccfgggafdaeafgggbddabegaafbgcggdgaagbeecgggabbeggcefgabcfegefcgacbefgcgdgacbgbggedgacfebdegegadcffbfgcgadgeccgddgadgeefbcegadgeggdabgaefbeggadgaegaegfccgaegdcagcggafcdfcgfbgafcffbfddgafgaafbgggagdebfbgdgagefbddfcgbaeecgfcfgbagagegbfgbbcdgdcgfgbbfdbfeefgbccddefgdgbceeebcgfgbcgbefdgbgbdagfbfdfgbddgbdgfbgbdeadgffcgbdfddfdecgbdgfefbaegbfbbeeffdgbfggebbdcgbgacegcgcgbgdaddfcggbgdadfcgdgbgdcfcgeagcacfdegbggcadgfaefegcageegfcagcaggaggcbgcbceffdedgcbfbfcbgggcbfebbegfgcbgagfcfcgcbgeeefbcgccdfgecbegccgccagfegcdcbceegfgcdcgacggcgcdfgeacedgceacfcfefgceaeabggggcebffeddcgcedcefccfgcedcegfcbgcedgbfgbbgceeageeebgcefbbdfdfgcfbadddgggcfcbbffgcgcgccacefggcgcdggbbcgcgcgdgcbbgcgdedgeabgcgecbgeeagdaececfdggdagfeffbagdbecaggcfgdbfcbcgfegdcfadffgagdcfcdbcfggdcgfdbfdbgddaccefffgddadgffeagddeabgcgegdebccgbeggdedgccbgcgdegcdeaedgdeggccafbgdfaegeecbgdfddbdfaggdfecfceaegdffddbccfgdfffdfcbagdfgbcdecdgdfgcefadbgdgcdagcbggdgdeccdddgdgfbeagdbgeaedegbbggeaffdadfegebdbgdafggebdfgbeafgebfagfcbfgebgaaecgggedaedefcegedbddbdgfgedbdfeedcgedddegbdcgeegcabgaggefagbaeefgefagebbeegefbagdegagefbgebbgbgefddfgbacgefgadacgdgegadfbcgcgegbfdbgcbgegddbdedcgegdecaegagegfcdafdbgfafadeceggfagegedbagfbabfbffggfbagbdefegfbbfacgefgfbddfbgafgfcabegfgagfcagdbdefgfccgdcdfbgfcdcbagffgfcdefdagbgfdeaegdccgfdebabegfgfdgaadbfggfecbafceggfecbdfdbfgfecdadfcfgfeeedcdbdgffabgaddggfffadafcegfffcccdebgffggbbafaggadcgbffbggbagdecfcggbdagdbefggbfbeeeccggcdgbfbdcggdbdgccecggdcdagbfdggdgfabfdaggebebedagggedecbcfcggfbdbgbfbggfccbecgbggfdadceddggfddaaedfggfggaccbbgggaaeedfbgggbbcccfegggbbfbafeggggbaaebfggggdbdccaaaaadcacdaabceacabaabeaabaeaafeaabaaabaeggdfgfabbegfdeggabcbafaababcfdegfffabeegeggebabfbcggfegabffgcfdefabfgcdggbgabfggggddaabgedegcffabgffecfeeabgffgbbgfabggcegfagacaabbaagacafgeefegacccfggffdaccgggecgcacdfdgfgagacgfdefdcgacgfedgcfdadaefggegcadagfeggecadbbbbbbbaddbggffgbaddeeggffaadfgcdggebadgdfcffedaeagdgfgddaecafgfeegaedgcggefaaeefcfcegeaefbfggedcaefcceffgdaefcegcfdfaefdfggcbeaegcecdfegafagffafegafcgbdgdegafdfceggafafedfddcgfafegccdggcaffdbgffceaffecfeegbafgcgffcfaafgdfeeeebafgdfefbfcafgeacgcgfafggedabfgagaffggcfbagagggcdgbagcdbfcggfagcecgaeggagcggbdfcfagcggceeddagedcbgfefageegedaefagfcdbggbgagffgeafcdagfgcgfceaaggcdgacgfaggefbcgfbbabcdcaabbabfcfgffgbadfdgfgcfbadfedffgebaedgcefgfbafgddddggbagfcedfegbbaaacbfabbbadbdaabbcbbaeaabbcddaaaabbcfgeffgbbbffdggcbgbbgagegfgbbcafgfgfddbcbgdfgefdbccbacaacbcddagfffgbcedgfcdegbcegfbcfffbcfccfgcfgbcfecegaggbcfefcdfdgbcffggefbbbcgffdafefbcgfgdfbbgbdagggcgagbdbcgeefffbdeabggggdbdffdgefaebdffegbbffbdgaeeecggbdgbfbgegdbdgbfdgedebdgcdggfbdbdgcfgfcddbdgfeegbcebdggeebdeebecddaggfgbecfdfgfbebedegaegeebeeecbgffebefcgdgdfbbefeefacgfbefffddecebeffgbfedcbegdgcgdfabegfcffcfbbegggeeaebbfaabbbabbfagfcafggbfbgbbggdgbfcbgcggfcbfcefgaggbbfcgggedadbfdebgdbggbfedfeafefbfefcfddcgbfffgbbbfgbfffgbgcbebfgccfdaggbfgceaggcebfgdfbdgbfbfgfcddedebfggcbgedcbfggfedbbebgabggeecgbgadfgcfgcbgafegegeabgaffebggcbgbbbefgfgbgbegegafdbgbggfbdfcbgcbagefgfbgccbfdfgfbgcfcfgedcbgcgeadgfdbgdccgecegbgddecbggebgdfcfcdfebgdfdcgaffbgeaggcdeebgecfgbbegbgedfgcbcgbgedgafbgebgfdfeeaeebgffegedbbbggafbefdfbggcddbfdgbggdeegddabggdgedcebbggedeebcfbggeedbcdgbggefacgddbgggecagdcbggggfdbcacaabaccdacaabbaaeccadfgcggfbcaefggecbgcafddfddggcafgfdbgeecagdgecefecageddfgbgcagggaegddcbaedggggccbgbeecfgfcbggefagfbccbabadabccbadabbaccbgadfggfccdfgcgdedcceefcfdefccefgbefbgccegefcdeeccegfcgfaeccegfgccdeccfefdcggbccffddebgfccfffgbceeccffgbbfdgccgffeedafccggaebgefcdagaeffgfcdagfdeeefcdbcfgfdgdcdbdgegffbcdccdeffffcddefegbgccdecdgfbffcdecfgebdgcdedefdedfcdegcfdcgdcdeggeebfbcdfcdgffcdcdfcgeadfgcdfegcecfdcdffadfcfgceaefgfffacebgeegbfdcecadggfgcceccdeggdececdfcffgccedafgddffcedfgceegacedgecddefceefdfcefccefdcfcedgcefdfcfbfecefeaegddfcefecfddeeceffegcdcdcefgfbadegcegbagecfgcegcfgcafecegdabffegcegefcebfdcfcdddegeecfceebfgedcfcfdgcefccfdedgfgcacfdgecfaefcfeagcbgegcfedfafgcecffcbdfggbcffeceeddecfffagfdbecfffbfcagfcfffdgaeagcffgggdacbcfgbebecgfcfgbgegbebcfgdfaedeecfggdacecgcgagfcfffacgaggeeebdcgbgbegcdfcgcbgaffdgcgccgfacgfcgcedddfdfcgddgfegbacgdfcdbeffcgeecgfddbcgeeddbdegcgeegbeebecgeffcafgbcgfafcgcfdcgfdgaecgccgffbedgeacgfgaedeagcggcdegbagcggfbcfagddaedgdcgefdaffcdgcffdageeeebffdageeegdfbdbabfggegedbagfgdfbgdbdgbgbfffdbdggfeafddbegbdgggadbfbfceegfdbgfbagegedbggagfbfddbggcdgdagdbggfbeecedcacggafggdcafdgegcfdcafegaffgdccfdgfagedcdadgegefdcdcdcfggedcdggdgcafdcecfcgbgfdcfggecadfdcgdeddeeedcgdfgedbddcgfbbfbggddccgfbgeeddcdgceefeddcggafgbeddcggdagfcdddebfdfdgdddeebbfggdddfbgbfgddddgcffbdfddecffbfcgddffebedeeddgcecdfeeddgcggcbgbddgdededdedeaegfdeeddeagdcgffcdebdeffffbdeccgdcgdfdecfcbgegddecgdfcgbededbdgbgdgdedcdgeecfdeddfgegacdedfegfdbcdeecfddfbgdeeddbggbfdeefdcfccgdeefgaddfddefcgggaeadeffbfcffbdeffebgccedegaadggfddegafbgeeddegagdefbedegdebfbdgdegfddcdeddeggdgfadadeggedafcddfbgdefdbfdfcdafffeedfcdggbdeddfcfcfcegcdfcgdbgcgcdfdafebfffdfddfacfffdfdecddgcfdfdgffaecddfefbdfgeadfegafgdccdfegbdcegcdfegdfcfbcdffadafgdgdffafeefdcdffbbbgffedffebeebefdfgbgdffacdfgcdgcgbcdfgcfcageddfgcggabfcdfgddbgcgbdfgecfaefcdfggbceafedfggcccbfedgadffedcfdgaeccfgfddgbegbdfgbdgbfcgedfbdgcbgccgdfdgccagdggcdgcdcgfcgbdgcfgcgbafdgcgadffdddgddddefdddgdefcddgbdgeegafgbbdgegeebagcdgfcacefgddggaegbdcfdggbfeabegdggccddgafdggdcgdbecdggdddfbfbdgggcabbgfeaacfgfgeeeabgfefffbeabgffgcgbeacfcbfggfeaeffabggfeafdedegedeafebgceegebbaaabcbebbgfbgfgbebcagegdgeebdagfcggdebdefdedefebedefdfedebfbgggcafebfffegbafebgaggcgebebgfbggadeecacaaaaceccdgeefceecceggagageccfffedececcgcfgecdecdbgfdefdeceafgdfbgecffdbgeagecfgfdfcaeecfgffacfcecgbcgegcdecgbdggfdaecgcaefdffecgdgcfdcdedadfegeededbceeggddedbcgeggaeedcgcebffeedcgffcbgceddbgcegcfeddddefbgeeddfcaeegfeddfcedcffeddgdcebffedececgdeeedecggcafeedeecbecggedefcfbfededefdgbbdgedefebeeededegfdffabedfdbfbfgdedfefgbfadedfgcbefddeeafeffgcbeebggaddefeedbbffbggeeddfcfddeeedeabgffeeeebeccggdeeedeaeefeeeeeddefbeeeefdbagefeefebggddaeeffdefbafeegcgbcgcdeegffaeafdefadcgefdeefagbbggedefagcebeegefbbbegffeefbfeabggeefcageagefefcfdcggdaefdafefeddefdddgceecefdeafgedcefdgebfedbefebefgfcaefegbdefdbefegdbfecceffaeeafdgeffccffdebeffedbbbggeffgbdcfafeffgfecbccefgaaedgdfefgadfegcbefgcfcdbdfefggbabbggefggedbdeaegafgbbgfcegbcgadfdgegbeddgdceegcbgbaeggegcbgdgdcdegcdfeffbbegcecccfdgegcegdccgbegdaffdaffegdccefeagegdddacgefegdegdfbeaegdfgcbfeaegdggdfaadegeedfbafeegfcdabgfeegfgcacfceeggaadeffdeggbdfcafeeggdafddagegggccbfaeegggfafbdafacdgdegdefacfffcaggfaeefggecafaeggfeagafafcfggacffafddgcefdfafeegbfagfagagfdgdcfagegeddebfagfcdeddffagfdefacgfaggeeccfcfbaaaccaafbaggbcefgfbcfcgcgedfbcffdcdegfbcggfaebgfbebedgffcfbecgfagfcfbegffccgafbfecdgbdgfbgbbgfgebfbgdbedfdffbgdfcgdfafbgebffbgcfbgedgagcdfbgfbfbcfffbgfffagbcfbggbedcdffcafcegcfffcagbfffbgfccfgbgdddfccggffebafcdcdgaegffcdegfagcdfcdgfecdagfceacgggbefcecgdeddefceeacgbggfceefgcgcafceeggdfbafcfbeegfbdfcfbefbfgcfcfdbgdceffcfgbebedffcgabggffafdafaggceffdafegebeefdagbdcfgffdcefddgdcfdcgbefeagfddfeccddgfddfgdfcccfdedfgcfdafdeeaefdeefdefegdbcdfdegbddcgdfdegggaaddfdfgcdbbgefdgbdbdgcgfdgbecggcbfdgcgfcgbafdgecebgcdfdggbbgeaefdggdaeagdfdgggcfabcfeagcccggdfeaggdbeedfebedffefafebffbfffafecbfcgagffeccdeeecgfeccdggbcffedcbeagfgfededcgfaefeecdecbgffeedcfegcbfeegdeedadfefagfdccefeffeacbgefefgabffcdfegbdcfbdgfegccfbfddfegffbcadffeggadbbgefeggfadbagffaeecefcfffagccdfeeffbbcefcgfffbbfcfecgffbfffgbcbffcafgegcbffccggdbfbffceegccecffcegcacffffcgbafcegffdcgcaedgffdcgedadfffddfdaecgffdebeddcgffdegdfafaffdfbfcgccffdgefdbccffdggafdcbffecbgcfceffecefcdddffedbedafgffefadgbgbfffdcbgbcgfffedegbadfffgcadagefffgccbgdbffgageacdfffgdgaabegfgafgddbfcfgagadfcgdfgagbfcafgfgbcegeeaefgbcgfdcddfgbfdgafebfgbfedcafffgbgcfcdgafgcadddegefgcbedggadfgcbgcgdbefgcbgdfeccfgcdafbffefgcdggbdeafgcfdfeagafgdccededefgdggdccadfgeagddcbgfgecadfedefgededgbdbfgegedcacefgfbfccceefgfcaaecggfgfcbgdeaefgfcdeebgafgfebagdcefgffecdcdbfggeeebacefggeefaddagaagfegbeegabaabcaagabgggbdbggacdgfdffbgadgedfdgagaedafegcggaedfdgcedgafafdcefggafcdcggaggafdbbdfgggafggcaddfgagbfdgfaegagcddfcfegbadefgbffgbafafggbggbagdegbfegbbcefdgdfgbbdgfdgbegbbgafffcfgbcbbgfegegbddgcbgcggbdfdgcebfgbedebfgaggbfbfgeedbgbfceefedcgbfecdgdbfgbfefbfdddgbffeeagebgbfgcgafbegbgbcfdfgbgbgcbfgadggbgdadecfggbgdbfbefegbgeaffbdfgbgefgdacdgcacgdfdfegcaeffeefbgcagagfgcdgcagegefbcgcbgdggafbgcbggaagdggccfaddgdggccfcegbeegccgggdccbgcdagebfefgcdbfdddgegcebdgddcggcecgdegdagcedfdbfedgceedcdfdegceffggaacgcfaegfeaegcfecbeffcgcfeeeaedegcfgcfbdaggcgeeeeaddgdacgcfecggdaedbffefgdagbgcefdgdbagggdebgdbbefefgbgdbcbfggecgdbdfefcedgdbfggabcggdbgbggdaegdbgecgdafgdcbggfcfagdcefaedgdgdcgfcbdcggddfgfbabggdeagcgdecgdecdfcgdcgdeegcgbeagdefdcfaeegdfcdcffafgdffafdcbggdfgbfdfacgdfgeacffagdgbgadagfgdgcgcabeggdgdcadcfggdgdedadgcgdgdfaefaegeabfcgeeegeafdgfebcgeagadggdcgeagccgebfgebcecefgcgebcgddecfgebdbdggecgebdceggbdgebeeaffbggebfbbffgcgecbeddedggeecdgabgegeecffbfccgeedfaeeecgeeedcfaeegeegdbdeebgefagabfefgefddegccbgegaafdgaggegagacecggegbbbeefegegefcccafgeggfbdcdagfaadggegagfafecgbedgfagecdfbegfbdaefbgfgfbdfcbgdegfbeeedagdgfbgfdbbgcgfcafcefdegfcbggdcbegfccdgaedfgfcfcdfeccgfcgdbbbfggfdcfeacefgfddbfffdagfddfafcfcgfdedefcbdgfebagfgdagfeccfgbebgfecgfaacggfedfcabeggfeeddecafgffdefbecbgfgabbedgegfggeccdbbggadagaefgggadeegcafggaecgecddggaefffacdggaeffgeaaggafgbfdccggagccbefeggagedagbeggbafefbfdggbbgbgbeeggbceeeafeggbdaedfeeggbegcbeddggbfdegdcaggcebefbfcggdcgbcbgdggddbcefddggdgagagdaggecbcbeegggecgceaagggefdbbbfeggfaebgddcggfbabdcgggggaefcdaegggbgcefaagggfbeacddaagfegcfdgabaaccaddabbgaaabcabfcbabbaabgfedcfgfabgffbffefabggegddgcabgggdgefaacaaaebbdacbaaedbaacfddgfgcfacgfcffedfadbabbacdadcggdbgffaeacaacbcaecacacabaedaaacacaeddagfggeaedgdgcfgcaeebggegagaeefdfdeefaegbcegdgfafaefgcgdgafbbbaacbafdaabbabafdcfdgefeafdgdfegbeafdgdgdgbeafegabggfeafgfcdggccafgggbcgbeagaabdaabagbgedffdeagdcfegdfdageaeggbgeageeeegecdagefddgegaagegfafcdgagegfbeebgagfcdggagdagfdffgbddagffecfdedagfgbdgdbgaggcgaeefeaggegcaegdagggadedgdagggcebfdebaabadafbbabbabadebadbfbaaabafgfdgfcebaggdfdcgfbaggedfbfgbbbebaadabbdgeegddgbbeabbcabbbecdggeegbbedcgdfggbbfabdaaabbggefcaggbbgggfecfbbcbafaaacbcdggceggbbcecaaabbbcegfbdfegbcfgedbgdgbcgffbfggabcggegbbgebdcgfffddebdfdggfebdbdffgfadfebdgefdcfeebeafggcfgcbebgefecgebecgadgggdbededgecgebeeceefdgebeecggbdgebeedfefcfebeefcgdegcbegcdgbegebegdgbegecbegeagggdbbfaegeegdebfagdgdfdfbfbdeecggfbfcbgegffcbfcdfdbfggbfdfcgffcdbfeddcedggbffdgdfccfbffeeegagcbfffdegcfbbfffebffecbffgcedcfebfgddffeebbfgedfddcfbfgffbcfgbbgafdfecgfbgbcegcegfbgbfebgdegbgbfedfefdbgcaeeffegbgcfbdggfcbgdecgbeffbgdeggacfebgegceededbgffaeebfgbgffbggaedbggaefgcgbbggbgcdegcbggfefabgdbgggcefgabbggggcfbbdcaacebbbacabcaccaccacgefgdfecacgggcggbcadfeeffdgcadfgedgfdcaegbgfedgcafeefggebcbabegfgggcbaffgdgdgcbbefeggfdcbefdfcfegcbeggfagfccbfdbegggdcbfdfggaefcbffdgbegecbfgbffdfecbfggefafdcccffefecgcccgbgfdgecccgegdbfgcceagcegfgccedfcfgfdcceffgfcfbccffbeeggcccffgdfdgaccgcgefcfdccgddgfbgdccgeffadffccggcdgebfcdafgebggecdbffgdgagcdcbfcggffcdddgcgfbgcddgbffcgecdegdggaedcdgcdfgcdfceagfebdggceaggcgafgceddcgefeecededfgeeccedegcgdcfceecaggffdceefdfgebdceefdgeeebcfbfbegedgcfbggafggacfcbffdeegcfcgcbfeffcfdfdfdddfcfdgbbggdecfdgddegafcfdgdefbeecfedbeggbfcffbcccgggcffdccdefgcffgagcagfcffgfcedfacfgcdecggbcgaegedfgbcgbefagffdcgccbggdfecgcededgbgcgcgagagefcgdacggcgecgdeaddffgcgdegafgafcgdgcffbgbcgdgebfcgccgebaeeggecgefdafcegcgefgggaaccgegdccecgcgfcgcbeefcgfeefabffcgfefgeacdcgfegbddfccggaggdagccggbgebcdgcggeddgeadcggfgeafdacgggeacefcdabbbbbdadacffddgegdadeafffggdaeffgcgecdafeffcfcgdafgfgcffadagfecfefddbbbbaccadbbffeagggdbfebgggebdbfeggfeaddcaffdfffedcafgddgdgdcagbfgdgfdcbggfaggcdcdbgcgfdgdcddgcffgcdcegdeebgedcfagbgeegdcfddgefagdcgafcgfcgdcgfcfgddcdcggcagegcdcggecdfddddcbefeefgdddbefdefgdddbffgegbdddbffggebddefedgagdddfbgafffeddffdggdbcddgccgdfdedeaedggfagdebcegagfgdebgfefbgcdecdfeggbddedcfdfdgddeddgcfgdcdedfedcggbdeebeebeggdeebgffbdfdeedgcbggcdeeeeecffcdeegaeedefdeegcefefadefeeefdbedeffebcdffdegcbfgfebdegcfgdddcdegfdagegadfafagcggedfafbggfecdfagagfdfedfagdcggecdfbfecggcddfcfcfgadgdfcffdfdagdfdccecggedfdfbgbgcfdfeefgebbedfefeffcdbdffdcgcdfddffffebdgadffgdbfddddffgecgbbedfgbefeadgdfgffeebdbdfggdfgadadgbgfdfbgbdgccfebggcdgdbfdfcfedgdcbffecgdgebefagfddgfafeaffedgfafgaeeedgfccfeddedgfcgeebagdgffceefcbdgffgfcbeadgfgdbddcfdggdgeecbceababcdaaeacgcgdgfdeaeabfggfgeafbfgeefdeagbgddfgdeagdeeggeaeagdfcbgegebaebgefggebbdffefefebbefdggfcebbegegebgebbffgeecfebedggfbcfebeffcgfbeebffegdbgcebfgeeddgbebfgffagcdebgefgddcdebgfcegadgecbeeddgffecbfdcdgfgecbgcgdedgeceecgfageeceegbfddfecegeegdbdecfaefgdgcecffeggbeaecfgdffccdecgebffgaeedabfgcggeedbdgdgfecedbedeggfbedcaddfggfedcdgeeegbeddcddfgeeedddggbcdgeddededfdfededefdbffedeegebfagedffeeceecedgdbdfefdedgefaegebedgfcdgcgaeeaegfagfdeeaffecbggeebebcdgggeebgcgeffaeecddcfeffeecdfdfdfdeedgdgbdcfeeebcgedefeeeededbegeeefbccfffeeegafffcceeegcedbdgeefbfaggddeefdgfafdceeffbcgcgceefgdgaadgeegagfgceaeegcdfcgdceegecdcffceegedfbegaefaeebdgegefaegbcgefefbfcgfbgcefcbfffageefcdeccgdgefceacdfggefcegbgccfefcgggdebaefddggbecdefdedcdcfgefdfdddbegefdgaafgdfefeecffbfcefefecaffdeffeabcgegeffegbedbeefgaedgagdegbfdcfdgcegcaggdccgegcbggfeadegdcbfgcfdegdcgeeeccegdfbgbcgdegdfebbcfgegeagedgccegebeaagggegeegcbceeegegceebecegegceecfaegfddbgagdegfdgagbfbegffdadbgeegfgcaeaegeggadecfbgeggcgagabgfaafcgfdfgfaagbegefgfaedfeeefdfaedgecbggfaefeedgbffaefffdagefaefgdbdgefafdcgdedgfafdgcecfffafebgeegcfbacgfeffefbagffdfdefbbfdegfgbfbbfdffgfbfbbggedecffbdaaaabbfbdbeggbgefbdfgadefffbdfgddcdgfbecdfeegdfbecgdfdgcfbefgddafffbeggcdeecfbfdfegacgfbfgceeddefbfgefgbaefbgefcdagffcaeddgeegfcbaabacafcbbfegbggfccbafgfgffccbfegedffccggaeedffcdbgggafdfcefcbefdgfcfafdgagffcfdceefbgfcfdfbcdfgfcfgbfecbgfcgbeegcgbfcgcccfgbgfcgddgbefcfcggbdbbggfdadedgeeffdafebeffffdccffdecgfdcdbgecfgfdcffffedafddbccfgegfddbgdgfebfdedeefaeffdeeddgdecfdegcfceecfdfbdfgfdbfdfcgfgbbdfdffbaegdffdgabgdfdffdgebddfdefdgfcdeebefdgfdcaeeffeaegfdgccfebfbefegcfebffgbceefebgfdgfacfeccffcefdfecdfffdebfecdgdbcgffeceacgegefecegdgdaefecgdfadgdfecggafcedfedbdeefdffeddegfacffedfbefaegfeedegagaffeeecdcegdfeefdbagfefeegbeacfgfefdgecfadfefecdfbgcfegbbceffefegbfbfeagfegfdaeeagffaefffdfaffagdffgbbffbbcfbggfffbgeabgfeffcbcfedegffcfdfgabfffcgdgdabgffcggebddcffddfbddgdffddgecdceffdeaggbdeffeafddfcffffacefafgfffcfagdcefffebededdfffeecedaffffgegdadaffgbafbgdfffgcdagegaffgceebdcfffgfaaceegffgfcdbgdbffggcdcbfcffggdcccecfgaagffcdffgaeccgedffgaedbcgfffgaggfgbacfgbdgcecfdfgbebgceeefgbecfccfffgbfdbaggefgbfddgbfcfgbfgcacegfgccgffaagfgcdfdfbedfgcgfebcgafgdbaegbgffgdbdgffcbfgebbfgdfbfgeeafdfebfgeeafgfacfgeegceacefgefecbfcdfgfbgedgbafgfcbceffcfggedfbedafggfgbbcbegaadgfdeeggaaffffgebgabecdffgfgadbffeggbgaebgdfegcgafbdefegdgafeafggebgafefdddgcgagddedgecgagdgfedaegbaffbegfegbbddcfgeggbbgfgcecegbdfgeagddgbedbfedffgbedgfbbffgbeecgfgadgbeeebedffgbeeecefgbgbegdeagcfgbegdfagddgbfbbffgbggbffdbecgegbgafebgcggbgbecggafgbgdfeeccegbgfbdffbegbggbdgeeagcbegegfadgcbfegdgaegccaffgcefgccbfdggbfgccdcbgfeggcceedeggagccfdgebcggccgaeffbggcdagebegfgcdbegeedegcdbeggfaegcdbgbdefggcdecdfgecgcdfadgceggcdgddbcfggceabgeggcgceegbcceggcfffadbffgcgfgaefcbgcgfgbceafgcggcbedfcgdbfeaeeffgdcfdfegdagdedffbcdfgdeegadfecgdefgbdcbggdfedbfbfegdfegbeeeagdgabfeefdgdgbdegebdgdgcadgagfgdgcgeecdbgdgdagdgccgdgdbfecfcgdgdebddfdgdgdeeaafggdgdffgbcagdgfabfgbegdgfcgbafdgdggfeebacgeabegbfeggeaedfecgdgeafdfgbcfgebcagdfffgebdfcfcdggebeafefeegebefcfgccgebfaegddfgebfbggfdagecaedfgbggecaefcgeegecbgbeegdgecfcgccfdgedacecegggedcbedggcgedeeafbffgedfcbbggdgeebdbdgefgefbcbgcffgefdffafaegefgcdagcdgegfdffcabgfabdcfggdgfabeeffgbgfacdegdgcgfafeegecbgfbdagefgbgfbdedgdgagfbfgadafggfcaegefcdgfccagfebggfceefeadegfdbfcddfegfdcggbeccgfdebcecgegfeagecgccgfedcebdefgfeddaffecgffcefbebegfffffcbdagfgadaecfggfgcfcgdbbgfgdbaefdegfgfdaefbcggacgefeaeggaeffdcfbggafeceaegggbbbdgffdggbbgdddfdggbcdfeageggbcggcadfggbdcfeeagggbefdgcccggcedcfgadggddbegdafggdecdcefcggedebegdaggefdgcafaggefebcfbdggfbedafdeggffbabedggggagabcffgggcddgaafgggfdagbccgggffbcaaggggffdcbbcgggfgcbdacggggdbccafaaaaadeafaaaadedacaaacaagaeaaeddaabbaafcggfgeeababadeadabaceeabaabbadbcbdabcacceabacabbgcaaacbafdaabacdefggffcacffegaffgadabafdaaaebbdcbaaaebdcabbaaeccdgeggfaecegebfggaeeadbaaaaefdcgggagaefeedggagaefgfgcfafaegedeeefeaegfcfffceafcgfedggbafefcfedgeafgdgfdcgcafgeedffgaafgfgbeafgagadfcfgfgagafgffbffagbbefeggfagcgfbegfdagdeegbdfgagdggdfbfdagfeccfgeeagffecegfbagfgcfbffdagfgecefgaaggbfebfegaggfdegbedaggfdgfdccbabbdaaecbabceacacbadaacfbabadffggfcfbagegefcegbbbaacaedbbdggcgfgcbbfeagdgggbbfggdegbfbcabccaeabccbacbadbccgfggcgcbcdaabcdabcfagggfbgbcfeffffagbdabacebabdbabbcadbdbadacacbdbebbaabbdcffgdffdbdddbgggfebdedgfdbggbdegcdgfdfbdfddfegcgbdfeefgdgbbdgegbfgbfbdggddcgdfbdgggefedabebacabadbecededgfgbecgffbffebedfgeaefgbeeeffgaefbeegebgffcbeeggbdffdbefcfafggebefefebeegbefeggdcgbbeffcgefbfbegbgdbgffbegdfffbeebegggfcbcfbfcedfdefgbfcgfbffeebfcgffdcdgbfdegedaggbfdfbfffgcbfecffefbgbfedebegffbfegcdgcgdbffdgedgfabfgeedgfeabfgfeffcfabfggbbdegfbfggccdcgfbfggcecgecbgaggbfdegbgcdegegbfbgcgfddcffbgdcgeddffbgdfebdggdbgdgfeaefebgdggeefbcbgedfgedddbgfdecfedfbgfefggadcbgfeggceccbggdagecgebggdfegadecaaaadfbbcadcdgfggfcadfggfecfcaecaeaaacaefgefcegcaegfgecfecafedfgegdcbaacfabbcbbabbfabcbbecbbaacbdfgcdgffcbfggccdfgcbgfecgefdcbggedbggdcceaabcabccegcbeggfccfggdffaeccgdffecfeccgecgfafgccgfgdfbcgcdabbbaaecdbegefdgecdccffgefecdededfeegcdgcgceggbceabfaaaacecdefcgffcecgabfgggcedbdfgcggceecfcgcfgceecgeeddgceeedgegbeceegecfgfacefcebgdgfcefcgcgbgecegadedfgfcegdcdcgffcegfecdecgcfdaedfgffcfdbefagggcfddcgafggcfdgecefbgcfdgfedgaecffgbgagcfcffgecdfagcfgaffgbdfcfgfbcggcdcgbffbgecgcgbgbgfgcdcgcbeffffdcgceadgdggcgdgcedeeecgedbfggafcgedegfecccgedggacgdcgefgcdfbecgfecbgegccggefcacgfcgggbcgdbfcgggcdbbgfcgggfgcebadabaacagadabaadbdbdaedfdggcgdafbcaabadagcgegeeddagdeefcgfdbabbgaaadbadcabcadbaffdgfgedbagfagfggdbbdbbbbadbdeeegffddbdfdggfcedbeffccfgfdbfbgefedgdbfdeggdgbdbgddfefcgdbgdeggbgcdbgdgeegfadbgfegeeebdcabaccbbdcdefcggdedcdfccfffgdcecgcfffedceebffeffdcgbgbfggcdcggegcbeedcggfafafgdddefdffgbddgbfddgeeddgegdfbcfddggcdeecfdeaegdfggbdebbegedggdedfgfebgbdedgefccefdeebgddffedeecgfeaegdefdfffbbgdeffdcgbefdfaffggebddfageagfdgdfcbgddefgdfcdfdfecgdfdecfgccgdfebfefcfedfeecgdefcdfegecedbgdfegfcagcfdffbggadfedffcbeegdfdffggafbgbdfgcefgccddfgdebffcedfgedffebcdgacgggceddgcbfbfdggdgccfbeegfdgddecfgagdgddedeefddgecgeebfddgeeefdgaddgeefgceccdgefcgfecbdgffbbdgeedgffdbfecedgfffgcbafdggbbgddgddggcgecccfdggfeecbfcdggffcceafeaabcbadbeaafabbabeabbffggffeaceegggageadbggdfgeeafdcggddgebbadaadaebbdfegeffebcedffdgfebdggedbffebebggfdeeebedgfcfcgebeefdefeeebfcdffgfcebfcefffedebfdfgdecfebgfdbffdfebgffgfeacecbagggcgfecceegggbdecdfdfggbdecdfgcfecfecedfebgefecfeceeedgecfedfbgdfecgcgcdgbgecgebgdgecedbedgffgbededegbegdedeegacdggedfbggbegcedffeedbdgedfgbdfafgeeacgcggfdeeadggbffeeeafecfeffeebaabacaeebggagfeceecdgcgfceeececgecgeeeceefecdgeedcebeggeeedfgbafffeeebgdbgfeeeebgfeaffeeedgeebeeeeeecegdcfeeefcedgfbeefcbffgfbeefeaeggdceefecegebeeeffbbecggeeffdbbgefeegcfgdedbeegebfcbfgefaefebfffefbcbggdegefcgbgdcdgefdgefbfcdefecegedbfefecgeeecdefeffgeebaefffcffbfbefgaedfcgdefgeceedddefgffadcgcegcdbbgfgeegcfecegfaegcgdebdfeegdafgbgfcegdbgfecdeegddfegfbbegdggdbfbdegebfcfecfegfbbgadggegfbcbgggbegfdfecaefegfdgfecdaegffbdffbdeggacgafgdeggbbgcfedeggbgbbcfgeggfaecdeeeggfcfafcdfaaaccbacfadgbbggegfaeaaabcafaeeedggecfafdcgcgfefagdfgcgebfageggeeadfaggdgbfecfaggfafgcdfaggfecgaefbaaaccacfbbfggeffafbcageeeggfbdafgggecfbdefgfdbffbedbfggfcfbedebfgfefbegegdbgcfbfcgccfgefbffedgbdffbgadgddgffbgefbfdeefccageefgefcdefbbfggfcecgfefdcfcedcffgcefcefdefbfefcegbgdefcfcegggadfbfcfefcgdddfcffgdceddfcgfbgcafgfcgfdbgeagfcgfecfccffdadggffaffdcagebfggfdcgebdgdffddebgddgefddgadgdgdfdecdeafggfdeegcgeaefdeggcadeffdgdcfdcgdfdgeccggeafdgefbdfagfdgfcgdeccfdgfdfgadcfdgffeacdffdgfgadddefebaegcgfffebaggefgbfebfgbgdedfebgdfdfcefecacgefegfeceeffbeefedebdfegdfedffdgdbdfedfgabfdgfedgfbfefafeegbefbcgfefaggbddffefgbcebgefefgeeafbefegdefccgbfeggcebaegffabeffdegffagcfdaggffbfceffbfffcebfdgdeffcfcafdgfffdbfffdbfffebcfcggcffedfdgcebffefdffaecffeffgeeaaffegddafbgfffagcbegefffdcaefefffffdecgdaffgddgbfaefgafefagdefgafgbfdgbfgaggdbgfafgbafffgebfgbbdfegcffgbeceeddgfgbeeffedbfgbfdbedegfgbgeagddefgcageafegfgcdedcgbgfgcdgedafefgcebcfedgfgceggaaeffgdbdddcggfgddfceeagfgecdeefcdfgedafgbfdfgedbfbfcgfgefaefedcfgfbdfagedfgfdbfcceffgfebagfcefggabdcfgefggaedfccffggbdebffcfggbeeafedfggccfdbdffggdcdedgafggdcecgeafggddcfdfagaabacadagaadbbaabgabffegbgegacfffegdcgadefefdcggaefdgegbdgafagfgfdcgafgeebefdgaggbbfgdegbafbfdfgggbafggfebegbagfdfgaggbbegefefcgbceddffgdgbcfggfccdgbcgefbcfggbdffagceggbfbgcbgffgbfdgbeefdgbgadecegggbgcdbgdeggbgcgfbgdcgbgeceeecfgbgedgbdcggbgegdfbbfgbgfbfbeefgcadfgggaegcbcfgdggbgcbgcffcdggcbgdggfcbgcedgbgegagcegfafagegcfcfgddbfgcfeeegbbfgcgcgbgdddgcgefafbgdgcgfbbefeegdaebgegeegdbbaggegfgdbdcgcegfgdcecggdbfgdceebegcggdcfcbfgfdgdcfcgfbdfgdcgeefeccgddddgeebfgddfedbfgcgddgfbeceegddggfadaggdeccgdggagdeedcgffagdefcecfgbgdegefgccagdfbgbbggdgdfcgaefgbgdffcfadgdgdgbdfdeedgdgcdfdffagdgdbbegfdgeageacggegeageagfdegebaeegfdfgebaffbgffgebbgeecffgebcecggcfgebcgfageegebdffafdggebefdfecegebgbgebgdgecdgcbeeggecfdgfcfagecfffgfaagedcadgeffgeddagegddgedeeegabggedefcfebegefccdgaffgegeeeecbdgegfcdbfgagegfgbbefagfabffbgdggfaecegcgdgfbbebggeegfbegbdgfbgfbfgabeeggfcbgagddggfcdeedgebgfcfafddgdgfcffffebagfdaegeeddgfddedffeagfebfgecafgfedcfagbggfeeafcefdgfeeedfecbgffbagfagegffbegdebdgffbggabgcgffffgbdcagffgddedbcgfgafageddgfgcfccegagfgdeffbbcggacffafgdggadegdddeggafedgaeeggbgafecfdggcfcfcceeggcffbddcfggdcegbeecggdddfddceggddfedadfggdgecabgeggeagbbgcgggedgagaedggeedgabdfggefbfbaffggegefaacfggfaeccgcfggfdbfcfdcgggacdgfccgggcfeaebegggdcdecgagggdfebedaaaabfbcbdaabcacdafaabdaebaeaacbbaedcaadbaaaefaafddaacaabacaceaeabagaaaagabbaaaefcabbbabafeabfabaceaabgcabaadacabcdbbdacbafcaadaccfaabbcacdgfffdegaceacccabacfdfefgefacgffggeafadagababcadbbcfaabadbggfggceadcbcaebaadeedfgdgfadfabadbaaeccabbcbaecgggecdgaefcgecfgfaegbgggcdfafbabacccafbggbffffafcaaacbdafcfgceggdafdgfagcggafedfceffgafeefggdecafeeggadfgafffgcgccgaffgdgfafeafggdcgbgeagaccacbaagbgceffffagcdfdgffeagcdfgegdeagdfcgfgecagegggbffaagfeggacegagfeggfdaeagggagfgbdbaaabdbfcbaaacbeebbabaagbeababacbccebabbcdcbcbabcbddacbabccbaecbabgbcacabacaadebcbacabebaebacdbcaeabacddabadbadabaeaebbaabaefbbbaadafdabbabbdddabbabeacccbbaeaacbebbbabcebcbbdaaaadfbbedgeeffgbbgggfdcgdbcaaaafcdbcbggefgeebcecacbbabdafgdgefgbdcaadcbbbdddfefgdgbdebacbbabdefdgdfdgbdegdfgafgbdfefedcggbdgbgfgffbbeaaaacecbeacaddaabecdffdffgbecfgbggeebeegbdgfdgbefgegfcgabegbfeeeffbegeggddfbbegfafbfggbegfgdcggabegfgeadffbegfgeccfebfadggcgegbfafefgdegbfbaacabdbfcefcffegbfcegdfffdbfddgfbgdgbfdgfeagdgbfecgdbfggbfeefgdegbbffdgfcfedbfffagbgffbffgcdfaggbfgbcegfgdbfgfbdfdegbgcggfdbgdbgdgdggbgbbgfddcggfcbgfgfggbbcbggbcgegcfcabecbacbcaccebbabcafbgefeggcaffeffdffcafffcegffcageaaabacageggbdgfcagfegdcfgcbbbabddbcbcbbbcadcbcbbbccbcbcccadbacbdaccacbcbffgeedfeccafcbbaaccffggbgagcdcgbgdeggcdeeddfegfcdfdffgffacdgbfgfffbcdgfegefdbcdggffdgcbceagbffffgcebdgdgfgdceddfgefcfcedgffffaeceebgbffgfcefagdggdecefdegfeagcegccgfeeecegccggafgcegcdgaeggceggdaedfgcfafeeeegfcfbagfggdfcfbeggefeccfcecfggfccfeegbgecfcfffggddbdcfgcgecbfgcfgcgffbedcfgecgdddfcfgefafddgcfgegdcbffcfgfdffafdcfgfebcdgfcgaecfgggccgbgffbgbgcgccedgggccgdecdffefcgdfffacfgcgecgccfffcgedaeffffcgefeeefebcgeffcfgeacgegedeceecgegfeeaeecgeggeedbdcgffcfdcgdcggadedfgecggadfegcfcggbgfeccfcggcfddedfcggggafadfdaacbdbbcdabgfgagggdagbgedggedagefdggdddbaaaaaefdbbbcafaadbbcaddaadbbfgffgdedbdegecfgfdbdffggcdfdbgcbaaaadcabaaddbdcbbgggeegdccffggfbedcegagdgdgdcfaedgggedcffbfgfeddcgefadffgddcbeggegeddcdgegedfddegfefgadddfcfgdecgddfgbgddfeddgggddafedeaaadbacdebffgbffededbfffcgfdedfdgeebgdefefgegcadefegdagfddegageffgadfadegfegddfaeebegggdfbdgegffbdfbffeeggadfccefgedfdfceegdecgdfdeecegdfdfeagfcggcdfecddfgcgdfefdeeecfdfegbggdafdffdefbfgcdfgedcbdggdfgffdebfcdfggcffcbedgagcffcgedgbdgbffefdgcdeefgcedgebafgfdgdgeedbffdfdgfdcbbgggdgfdgcdededgfgedcgeadggbbfcggddggcfeceeddggddgbgfadggecbfcgedggedfbeeddggeefadcgdggefecadgeaaabbadeeaabccbcbeaaffgeggdeababfaaceabcbcabceacdggegeeeacfababaeaffdgfcefebbaafabbebbgebgfgfebdfgfefgaebdgeeffedebegefedcgebgegdefddecabbabccecbdfdggfeeccefbfgffecefcgdcgfecfcfgcgdeecfffgafgbecffgcdfbgecfgbgcgfcecgbgcgdefecgefdffdcecgfbaggdgedbegcgfgcedcaeggfgdedcedgbgegedecgdffededegcdgfddedffafefeeedfffbdfcgedfffefcgaeebedegcgfeecaeggeefeedbeggfddeedceggfbeeeddbggcegeeecdffgfbeeeebdfgeeeeefgffbfaeefcgcgffaeefddgeeceeefecebfgeeeffdgabfgeefgbdfcdgefaeefgfgaefbecfefefefbfefecgdefbggdaeffefbgggccfcefddgegfbcefdegdbeefefecagffeeefeeedfcdfefefgdaggaefegdagfecefgbegebgcefgbgbgffaefgfdfbfdcefgggfeacbegaaefefgfegagfeefdcegbgcffdedegccgfegaeegcfbfdfcgegcffegcebegdagcgegcegdcdffbegegddggefcaegdgcffdcdegdgefbdfcegeaffdfgbegeedcdgbgegegfaegbdegfebfbfgcegfffeabgdeggfgcbgcbegggegacdcfaacabaebfaeaefgefgfagecfgddffbafggfdgcfbdaabacbfbdbfefegffbdgcecffgfbecaabaafbggcgfaeefcaggegcdffcbggbgdfefcebfgafgffcefdgfeebfcfafgdgfcfcfbffecfffcgbdffbfgfcgeeceefdfcggfefafbfdcfbgbfgffdfafffecffdfececgcgfdfgagagdffdgcadfegffdgddcdegefebbefggfcfebegegefafecbbffffgfeceegcgfbfecfddegedfecffgbceffedccggcdgfeddgdbgcgfedffeffbcfedgecdefdfeeadgffdefeeffageddfeegacedgffefbddgbgffefbdgdggafeffcdgeebfefgdagfebfegbddecgffegfcdecgcffagedgdbgffaggfdfccffbdggcfagffbfcgebegffbggdedceffcdgdegfaffdcedfgbfffdeaggbgdffdecfcgdeffdefbdggbffebgdedcgffeffgedacffefgdcbfdfffceaagggfffebgeadgffffbefdbfffffdfaebgffgbcbfdgfffgdgbeeafffggagcefaffggbacgdffgadafgfeffgbddgdfedfgcbgdafgffgcebgfeddfgdbfcffcffgdeedcgfbfgdfgcdbeefgecafffdefgecdeecdgfgefceagbgfgegbcbgeefgfbfcgdagfgffddbefcfgfgegdabdfggcdgcgcbfggfbeafbgfgggbdfaedgaacggegdggabggagfefgacabcbbagaccgdfgfegacdgdfgcggacdgfedgegacfgedeefgaegdfeefcgafagdgfgcgafdgadggegafgdedagggagfcggbdegagfdeeecfgbaaaeaacgbdcecggfegbdefdggebgbdfeefdgcgbfedefecfgbfffededdgbgcdefcgegbgfbfbeffgbggcgcbefgbggdafecggcacababbgcccgdfgedgcdfbefgbggcdfdfcggbgcdfffeagdgceafgeffcgcecagfggcgcefegfeadgcfacedfgggcfbdgfdcggcggdfeaedgdbeedgfdegdbggbdefegddbebeggfgddebcegffgddedgcfgbgddgeccgfcgdeegdceedgdeffdedbfgdfgeeeecbgdgcgbeffbgdgcgdcgdcgdgecgafcfgdgffcagddgeabgdgfeegeafddefefgeagbgdgdegebggccffcgecbgggeeagecgcefcgcgededbcfgfgedgecbgfcgeedbfbegfgeedgeeafdgeefgcbcfegeegeacgdegefdfagefbgeffabgcgegeffcdafdggefgfecbbfgegaeagedggegfdgadgagfaagdgcfggfafdfggdagfbbeefbgggfbfcdggfagfbggeafcegfcagfaggdgfcfefeadfgfdfgcaefdgfeefbcegcgfeegbbagggfegcafdfdgffafbedgegffefdfdadgfffbgdbgbgfgceegabfgfgddffaddgfggfgabeagfgggacdbeggaddgggadggagcefegaggbaedffdgggbdaeefffggbgfafbgdggcadfegfcggccbfffdeggcfdcggbcggdagggceaggddfecbefggdecgfcfaggdeffdeadggdgadccgfggdgadgbdfggdgdggbacggedbfdeedggefbfccgcggefcffbebggfcgdgbeaggfdcgfgaaggffadcefdgggcegbebdgggebabfgeggggccceebaaabgccbcaaaddcdcbaabecbaddaabfaedabaabfecbbaaabgbfaabaacbcdfabaacdadaceaacdcdbadaadadcecaaadbaadfcaaeccafabaaeceabadaagdbcbabaagfgdfgdgabaafbgbaababadcfcabacbfbccabbbaceebabbbaedeaabbccaeaeabbcdcaebabcabaegaabcbabdfbabcbcebdaabddcbaccacabadfcbacacdcdacaccaafccbacdbcccbbacfaaagbaacfgeffefeacgfgfgbgdadaaaffabadabaebbeadcccaeabaddabadaeadddaaafaadfegeggecadgcgefeffadggecgcgfaeaababgcaeabaaecdaeadcaafaaebbbdbcbaebfadbaaaecbabfabaecbdbaadaecdbbacbaeegddgeegaegeegfgdcafcdeffgffafggefeceeagabcbcbbagaeaabcbagdfefggbeagegegdfbfageggfdgbdagfgeffdgaagggagdgcfagggfegcbebaaaaccefbaabebgabbaabfcdbbbaaccaebebabdebaccbabfaaccdbacaceadcbadaedbbbbadaefaabbaeceaacbbagfgffgfbbbaecaeacbbaeedbaabbagccbbabbbbcebdabbbfdadaabbcbadeacbbcbgaadabbcccacaebbeaaabfcbbgcgggfcfbcaaacfeabcaaagcbcbcaabbebebccdcaaaebcdcaceaabcdfcaaabbcdgeffgfdbcfaabcadbdabbbbecbdacbcaafbdbcbbbccbdccaacccbdebcbaacbdegfdgcgebdfffegcgdbdggfdfegbbedcgfgdgebeggdegbgdbegggfbdgcbfcdbaabbbffffecgcfbfffgfaeefbfggecgdfcbgbfebfggfbgbgbdgfgfbgccgeffgdbgfedegfbfbgffdgdafgbgffefadgfbgfgdgffdacaaaddaagcacaaeagacacdacbaecadaccbcccaeaacfabcagaafaabcagegfbggecbbbfabdacbbdaccadcbcbabgabcbcdaceaacbcddbcaacbdgggbdggccacdaacdcccaecbbaccdadbcabccfegfcggcccffffgcgcccfgfdeegdccgedggfceccggeeddffccggffefdccdedgdbgggcdeedggdgdcdgcefdgefceabbbeabceaeagggggcegebfdgefcegefdcgfdcfabaabcdcfadfffgefcfbgdggcefcfcgccegfgcfdegdgagfcfeecfggddcfffefddcgcfffggefaccfgefgcdgbcgcagfggcfcgdffccgefcgedfcfgedcgegafedffcgegeagbgfcgegfgbfcdcgfagddgdgcgfgebegagcggafgdefdcggegddebfcggfcfdededaaadcgaadaaaddccbdaabbcfcadabcacdbcdaddfgffegdagcegffefdbbbadadcdbcgfedfgfdbebggggcfdbfegeeggbdbfgdggaffdbgffdeffddcdggggdcddcgeedegcgdcgffddeefddagcfdgggddbaaabceddbadabdadddfdffcfgddfbegegfdddgbfeeffeddgcgefffbdeaegfcfgfdebabbbcbdebfdcgfgfdedggadefgdeeddefeffdefdfggbfcdfagbgefegdfagfecdggdffddedfgddffgbcdgfedffggbggacdfgcfbdggddfgefdbdgedfgfcbgefddgbgdfcgcgdgbgfbfffddgcfggddgadgdeefefdddgdfbfegcfdgdfcagfegdgedbffgfcdgeefdagfedgfagedfeedgfbfcggecdgfdaggfdddggdgbbeegdggffbgdbedgggeebaegeaaecaaaeeaaeffgffgeabceacabeaeebfgffgeaefegecfgeagebfeggeebcadbacbebdgffefbgebfdgfcffeebfgegddcgebgffcfcgeebgggddafgecaadbbdaecbdbbacaecfdgceffeecgcdfgdgdecgdcgcfffedafgeggddedbabbdbaeddfebgfgdeddgfagdffededegegfbedefbggcdgedefefgbeeedfdddefegedfedegfceedgdfffeafedgggfdagbeeabbadbaeebbdbaaaeecfgggcafeecgffdfeceedefeedefeeeccgcgffeeegbegfeceeegcgcgddeeegfcffbeeefbfgdecgeefgbgcgbfefccgggdagefcfdgffdcefcfefeefcefcfgeddgcefdgebfcffefgccfbdggefgddfedbgefgfgafccfefggdgcddcefgggdcgacegdcfcfedgegdegdcffcegdgggbfcbegebaggfgcegeeggafebegfgcgacfeegfgdbfefbeggbeegccfeggdbedggbeggeebgdbffabcggfgdgfacccaadafaeegfdfgcfaffcdegegfaffggafdffbcgcfegdgfbgddggeecfcaggfegcefcebffcffgfcfdefcgdffcfgfebeeefcgbfbgggcfcgcgagefefcgfbggdgafcggcgcdeefdafffdfgdfdagfggbeefdebgdfbggfdeedgebegfdegcbggbgfdfbfbdfggfdfddbdggffdfeecbgfffdffagfedefebgfedcfffecgcfggdbfededggfbdfeeagggbdffeebfbfegffeedegdcdgfeedgfadfffeefggeeacfefdfbgagffegcbaffggfegdfebgfbfeggcegbecffcefdfgebffdeeegbeeffeedbffgcffeeggeddaffefgcgagbfffcgcdgecffffbffedcffffcafcfgffffcdfcfdfffffgefaafffgcegcbeffgaffgdafffgbfceffcffgcgcgcgaffgfacdggcffgfacfbgfffgffbdfdcffggafabggffggcdbfbgfgbfegacfgfgbgadfefffgcbaefgfgfgcdffgbgbfgceegfbbgfgddagggebfgdebcdffgfgdggddeccfgecfgdcbgfgegcdeeecfgfabegeeffgfcbgdaggfggccdfceffggcfgdecbfggdfdgabffggeacfeeegaaabcfaagacfgecdgggadcgdgdgfgadgfdegedgafegeecefgagcdgcgfegagfbffagggbbefgdfefgbfbgbggdfgbgdgfdfafgcbaabeaagccfdgegaggcdagfgfgbgcddfgdefdgcegccfgfcgcffffddcegcgdgeaegdgcgeeadfffgcgffdccefgcggbeefddgdbecgefgdgdceegfeaggdcgbgdcfggddecfefgcgddegagegcgdeeafeegegdegefgcaegdfdgfbgebgdfeabfegggdgccgbdgfgdgfafggbcgdgfgbadgegeaebggbgggecdffgdbfgedcdeggbfgedcggfbcfgedgegdfdageeecfgdaggefcebcggegefcgcceefgefgaegagdgefgcfaeeegefggbdecdgegbedaggegegcgcecfdgeggdfecdbgfccddedgggfdafbffgegfdgfeacgdgfecbefgbggfedebaggfgfefagedcfgfegcdgcaggfegdeddaggffcfbaggegffeagbgbggfffffaeafgffgebcfddgffggbdeccgfgadbfffegfgadfgbfdgfgebccdgfgfgebceeeegfgeeacbgggfgeegdecaggaagggcgcggbdgdeegbggbebgffagggbegfcgdbggbgcgeaefggbggbfbeeggcdgaebggggcgffbefaggdbefgcedggddcacgggggdffbeaffggecbcefffggeddbbeggggefaebgcgggegebcebgggeggcfbeaggfaagdcggggfbefgcbeggfgfbebfbgggdgagfacgggdgdedadggggcbedfbaaadbebgaaaafecbbcaabeeagaaaaddaebaeaaeaaaffbaaebaebfaaafcfdaaaabadafddaabaeafebaabafaceadabbbeaebdabbcbagbdabbebebadabdbeacccabfdcaadbacaacbeagacaadfbdbacabbafagacbccabcfaccbbbbbgaccbbbbcfacccaccfaaccccdaeaacdbbbacfacdbcadbdaceaabcfbacebcbafaacedeaabbacefacabbacfegdgdggadcaafcadaddddaacbadeggeggceadfgbffeggadgaaebbaaeaccaedaaeeefefefgaeffcffgdgafabccacdafagfgegefafcabcbccafcdbaabdafcdedggggafggbefgfdagaaaecdaagabaafcbagdfegeegdagfeggebefagffdggfbeagffgefddeagfgecgddgaggfbeffgdbaaabgbfbbaaaebbeebaacbcefabaadecbdbbaaecaebdbabacdafdbabbaeaeebabbfaagbbabcacbcgbabcbccecbabdddcacbabeebbbcbabgfbaabbaccgaeaabadcecaadbafabaeaebagcbcaadbbaadbaefbbaebafbcbbbbfbebabbbbfcaeabbdaebadcbbdbafadbbbebaaeccbbebaddcabbfbagababbfdgffdggbbgdeggfdgbcaagbbbdbcbcbdcadbccadabecbdaagcbbbbdaccecabbdadaebcbbdcaeabdbbdfaaaecabdfcdgefggbdgcegdggebeaabcbcebeaaecbadbeacbbdadbecaadacdbeeaegfggfbeegcgdggdbegefgfeddbegegegebfbfabcdbacbfdaaeabbbgabacbccbgcbaeababgdefgffbfbgeddgfedgbgfedgfcfebgfffafdgfbggegeebgdcababgbaecabbbcdafcabdccbcccabebcaebcadeaadbccagfggfgbecbaccaafdcbdbagaacccaafaddaccabafebaccabebaebccacaecbcccbeabafacccfcababccdaabcbeccgaaaaebcdadaacdccdbdeacaacdfcgdgggccdggcdcgfgceadceaaacedefgfgagceebeaaaacefbggfddgcefedffeefcefgdffagfceggcfedgdceggggccfccfbcgfdggfcfegfefagecffdffgccgcffegggcdccfgcgfaefgcfggaffdgdcgafgbgfffcgbcacacacgbegggegacgecegedgecgeegdbfgecgfccfegfecggcgecdffcggdebefgecggdfbeeffdabafeacadabagcbbbdabcabbgbdadaecbacdadbbbbafdaffgcgffedagabadacdagbbdbaadbabfcadadbagdaaacdbbbbbadedbcaagbacdbcabdbaedbcbcdbacdbccdbacbdbeacbbaddbeaffgfggdbeceffgfgdbggagegfedcbacadbddcceadaabdccgdcgggfdcdaaecbadcdfdegfgeddadadbacddcabdadaddcbcbacbddcdcbaabddebbbaacddfdfgfcdgddfdgfedfeddfefggcedddffgcgdgcddgaggfcgeddgffegfdbddggfdfccgdeaacabfadecdgcffgfdedggfffccdefgdaefgfdegffgebeddeggcedgbgdfagffgfcedfbgffggccdfcggfggcadfdeeggedddfedgcgdfedffbdgcfgfdffccfdgffdffdfdggdcdffefgeagddffffgcaegdfgbbgfgdfdfgcfeebfgdfgebgbgfedgacfegfgedgbcgcgggddgbfegecgedgcegbffefdgcffbefffdgcgcgecegdgdceggdfddgdffegcbgdgdgfcggccdgedcfgeeedgfbdffbggdgfbgcfggbdgfcgeggbceaaaefbabeaabadeadeaaeaacafeabbcabceeabebadcaeabegffgffeadaaaafdeagdgfgfddeagfggdddfebaacaddcebadacafaebadbdbbbebbeaafaaebcdbadbaebdacacbcebdegfgfgbebeababeaebfbeegggeebfgeeegfcecaaaadgaecacadccaecbaabfacecbbdeaaaeccdbbacaecdgfedfgdeceggfedgbedbcbbacbedbggafffgedcgcdgfffedeadgfgffedfefgdafgedgfcfeffceeadcabbaeebgbeggdgeedggaceggeeeagedgegeeebggdeefeeecbfgdggeeecfceffgeegddcgbggeegfffgdbcefaedffegfefaeggfecfefaegggebfefbcggggbeefbefgegbfefcfgefeagefecgfbggcefegfggbeaeffdfddgcfefffagegddeffffcbfdgeffgfffbafefgagafefgefgbafggfdefgbgdgdfcefgefdedbgefgggeedbcegafgdgbgeegbdfgegecegccfggdgbegcfffgfbcegdfbfeggbegebgfbgcgegeedgcfbgegfegecdfceggfaggaeeeggfcffcbfegggfaebgdfabgffggdefafabaaccfbbabfabbfbbaeaaccfbcbbacbcfbdgdbgeggfbgggfaffcfcdefgceegfcdeggbcggfcggedfgccfdaedaaaafdagefgcgefdbadabcafdbaeabbafdcegegbfffdcgefgagefdeaegfgdffdecdgdgfefdefgfdeecfdgedeggeafeaabadbbfebcggedfffecfdgbdggfecfggcgdcfededeegcgfedffdfgaffeebfcegfffefdgdddeffeffgfbddefefgbedfeefefgedfdddfegbfeefbgfegdfbcegffegfbdcefgfegfeebggaffaefgggccffbffdfefdffcgfagedfffdbfeeeegffdeeeaggeffeaegfgagffeecfgcdffffffdcbgefffgcdeagffffgddcdgdfffggfcdccffgdggceeaffgedddegcffgeeddegbffgfdfdaeffgaedfgefdfgcadffgfefgcdcggcdgfgdbdecgfgfgdfgecfdcfgecbcffgffgeffcededfgefgdgbaffgfffeedbdfggagdffebgaaacacbegabddababgaebbabbbgaegfedeefgafbcgfgffgafgefcedggagfdggbcggbabaaeadgbdabbbbbgbeefdgfdegbffdgcbgggcdbgcggdggcdfdfedgegcdfgbdegfgcefgfgbgagcfaffbfgggcggfededcgddaegdggegddgbffbfggdecfdcffggdegebeedggdfeaedggegdfefbegdegdgdfebdeggdggffbadggebegeegecgecdgfeffbgecegacfgggecffadegggecggfcbdggedcdedgeggedfggaecfgedgccfefegefafcgedggefgcagfbggegabgggddgegbagefefgegcaffedggegdfcbfefgegegfccaggeggdbcggbgfedaecggfgfedfgcaffgffbebfeeggffgadgeecgffgefdabggffggbfedagfgddfedecgfgegbdeecgfgfafcfdegfggcdfcecgfggecbcdggfgggaebfcggaeffeegbggaffcgcfeggcfgfbcdfggcgeecbgeggdbfbgggbggedegececggeedfgcafggfbagfdfeggfcdffdceggfcecgfcdgggcccgcdggggfdefaagggggggbaccaaaacgeccaaabcbedfaaabfbaefaaafcadgaaababfgbcaabacfbfcaabadgaagaabdadefaaabeagaafaabfbdbfaaacbacgafaacbfccbdaaccbacefaadbcadcfaadbcaeecaaeabebagaaecadabgaaecafbdbaaedabbbgaaeebedaaaaefdbacbaafaafafbaafcacaedaafcbbcfaaafdabacfaafdddacaaafedbacbaagaebacdabbceabdeabcccefaaabdabfaddabdadeafaabdaeacddacaagcaagacabbbgafacacbcbeeacafbcbcdacbafacceacbbabdfdacbbafcbeaccbcdgaaacceacfbaacdecbcbbadaabbgdcadacaeafcadacgafaaadadcbaedadagceaabadbcdaagbadcabddbdadccbbcdcaddbaebeaadddbcdbaadebabecbaeabafafbaedcabbbeaeeggggfbeafabdgaabafaccdaccafafbbbbcafcbbeaadafcbeacacafdfgffdgeafeaaagbaaffcgegeffafgddeegfgafgfdgfgecafggeecgfeagbbdbaeaageffgedfeagggfggbbfbaabafcgbbaaebbcdebaaggbacababbccdfbbabdcebccbabeafcadbabfabgcababfeabdbbacfaeabdbadbcdcbdbadcgaeaabaebbebaebaecdbcdabaecfaabdbagceabcabagedaabbbbacaedafbbacbadgcbbacdabfdbbadacaefbbagcaabfbbbabcbdgbbbbbadeebbbdabfdbbbbfebadabbcaaadefbbcabbgeabbcdaeaebbbcdbabgbbbdbbfcacbbebbcacebbffffdfggbbgdadaacbcaaaagfcbcabfdeaabcbadafaebcbgaaagabccbacgacbcdbbfadabceafbadabcecaacfabcfacaabfbcffacaabbcgaebacabcgbabbbdbdaabbcgcbdacabdagbdacdabfbbdbfaabebbdcdcadcabddaadbdcbdebbcadbbdfcebaaabdgdfbgfggbeaadcaagbeabdceabbececabcabgcgfeeggcbgdgfdgfedbgfegffbgdbggeggefcccaabcdcagcaacbbagecaadbdabgcaadceaebcabcbcacgcabfabedacacaafdcccacdadbafcacdbgaaccacdeaebacacfabbfacacfebbbacacgaddaacadebaceacaeeabacdcaegggegcgcbaccgaadcbacgabeacbaecgabacbagbdabccbagcbdbacbbadabeecbbdeacbccbbdgbaaccbdaaabgdcbeccaebacccbaeabecccbbeaaecccfffgdggcceababecccggdbfggfcdaaadceccdbcafbcacdbceadabcdcaccadccdcacceabcdccdbbaccdcdabaafcddffddgggcdecdcaaacdfbbaadbceaabaedcceaceadabceafaabdbcebbcafabcebcfaaaccebfgcgggecebggeffgdceegfgefagcefaaeaabcefabcbabcefggggbfbceggedggcdcfeacdaaacffdegdgdfcfgfeeeefdcgaaacaeccgbdgfdfgfcgbfcggfefcgegddffgccgfggefceccggcegfcefdabagfbaadabdbbcfadacaccadedacbccagadaeaadbdcdaebdabdbdaecaebcadafbagabadaggegdffedbaaafbdddbacabgaddbafafcaadbbaccddbdbcbbccbddbceaaadddbdaaafdbdbdaabbdedbdbbaeaddbddbdbbadbdebccaadbfaacdcadbgegedgefdcaaaeabgdcadccabddcaeaccbcdcbdabceadcbdcbbbcdccbgfggfgdcecgegdggdcgfeffgceddaaadddbddaaddaaeddadbaaddddbddabcaddbfcabbaddcabafbbdddbecaaadddfeffgcgddggfcgdgcdeacabbcddebdgfgffededgfegfagdefegffbdgdefgdebeggdfbabfbaadfbcbbacbdfccabdaadfcggbgcfgdfefefecffdfeggffbeddffefefefcdgageegfdfdgbeegfefedgeefdfcffdgffdbggcfdgfgefgcafdggbgcgeeedggfggbeafeaaadfadbeaabadcageaacfacdaeaadbdcdaeaaeccdabeacbeadbbeacdacbeaeadbcbaafebaccbbfaebaebeabbebbabeabeebbacagbbebbfffgefgebgfaggcggecdddfggegecdgfecgffecfffffcfeecgeefgbgeedegaegdggedfabbbbaedfcfgfbfgedffdbfgffedgfegcfcfeeaagababeeagfgggcdeeccbcaabeedgecegfeeedgfceggceefbgggddeeefcfdggbgeegeecfedgeegeeeaffgeegfafgcffefaaaccdaefbbacaadefdebegfgeefdggfagedefecdeffegefffeegcedegabadaacegcaaeaaaegcgffccgeegdeggdebfegdfeggfdaegdfgfeebeegedgcgdeeegeeccfggdeggafddggdeggcggebgbfaabaccbffabcdcbcafacabdcdafadcbadcafadcggdggffafadaacbfafegdgfeefbaabddcbfbacacbaffbdfefdggefbedgfgddgfbffgcfefefbfgbdgggdfbgcefggbgfbgedefgcgfbgggbecfgfcaeggcgfgfcafbaadafcbdaaeabfcecdggffefcfaggfgbgfcffggfeeafcgacbaaafcggggagaffdaaafadafdabdgggggfdcbebaaafdceffefdgfdffgdgfaefdgdgfffaefdggbgcffdfdggdeggbcfebcbaadafebfdgddggfebfgefaggfebggecgfdfeeeegfcdffefdefegddffaaccbbaffcffcffgcffdbffffeeffdeedceggffdfcffaggffefgcedeeffeggfabgefffcfbcgfgfffgdggafbffgagaefgfffgbggbfgbffgcceagggffgfdaecggffgfgbfcfcffgfgeeeadffggcdgeaffgafcdfgfffgbdfgdcfgfgbgafcggffgbgedgagffgbgfeeddffgccceefggfgcgdegeagfgddgcgagffgfceedggbfgffgdddecfgfggfabeefggcgadgcgfggdcgbfeefggffbgeccgaaecabbcgabaadeacgababaebdgabaecbbbgabeabaccgabfabcabgadefgggaggagdfbgefggbaaabbfcgbbcaaeacgbfaaaaeagbggfeeaeggcabaagbagcacccabbgcbbgggegegcdecffgdggcdgccfffggcfdfggcedgcgcdgeegdgdddfcggcggdecfdgedggdeefgafefgdfededfdggdfeffgadfgdfgcdefgcgdfgegdebegdgfeffaeegeaaababegeacabacbgecfdeeffegecggacffggedggfcceegeeagffbfggeefdbggdegefdgffcecgeffgdcbeggegedfadgfgfaegdgggagfbddgdefggfcdddgeeggfceaggedggfddffddfegfddgebgeegfdegcdffdgfdeggdaefgfdgfbeedfgfecdbfggegfedffffdbgfegdgfafcgffbfgagfdgffdeecdgegffeddffddgfgcfgddfbgfgcgafgaggfgdadefffgfggadgceeggaaabacbggacgegfdeggbcfeegfdggcbgebeggggcegbeggbggdgbeegagggeagfefagggeccggcfdggeddfdgfbggfacfegcgggfbfgdceeggfgedaffcgggegcfabgaaaabcfdgaaabdfbcfaaafceagaaabcaegeaaacbcbdfdaacbedgabaacdbcdddaaceccbddaacgbbbecaadegbadaaadfadbafaaeabcfdcaafbfadadaafdgaabcaafefcabaaagcbbabgabaabffcdababbbggbabaccffbbabacecfbcabbacdfbeabbeccadeabbfdcabeabbfebabeabcaebgcbabcagcecaabcdcbbcfabdadgadbabdbddceaabddbdgaaabdebccccabdeccebaabdecdcbbabeccbacfabfabadedabfafdadaabfbacagcabfcdcbcbabgaaafbeabgcbdcacabgeccacaacbaceeccacbageaeaacbbbedafacbebbafdaccafceacaccafebdaacccbbgdaaccdddbdaacdabafagacdabgbbdacdeadcbcaceadbedaacgbbbebbadabccefaadabcgebaadafadafbadcbeecabaddbbedbbadebbaafdadegeggfgdadfaeacdaaeaacbdfcaeaebbdbdaeafegggggaebagcaccaeceabbafaedafbaaeaedbbeaeaaeddbbdacaedgfggcfgaedgfgggfcaeeadaaddaeebcdabcaeeeabeaaafaabedaeafaadbagcafacbdagaafagaaddaafbabdfbbafbaceebaafbdaacgaafcafeaabafefgfgedfagdaaafdaagecbacbbagfdgfggddaggfgdgfgabaaaddffabaaagaffabaabebaegbaacbbegcbaaeeaagcbabfacfcbbabgaceadbacadcfeabacagcbcdbaccaacgebaccgbdcabadbccbbgbadbccfbcbaeaccafdbaebddcbcbafbecdabbafdcdbacbagbbebadbaggdabaabbaabfcbgbbabebdecbbadccfadbbafcbgabbbbebbcbfbbcacbbdgbbcddabfbbbdfccaadbbeaacgbcbbeaagaafbbecbafadbbfbbdaafbcadedccabcbaeadcebccaagbdcbccebdaaebcdabbcedbcdafacccbcdbacgbbbcdbbabcgbcebabbdebcecbaaedbcgbagaabbdadbcgbabdaedaddabdafbbbdcbdbaddaagbdbbdcbafbdbcaadedbdbecbebabdbgbadcabdcbbbbbgbddbebccabdebacaagbdfbbbbeabdfdacbcabdfeeggegebdggfegggabeaabafddbeaabbfbebeaaceafbbeaccecbbbebcdaebbbebeaaccdbecaebafabedabacddbefabbbeabegbacacbbeggddgfgdbfaaeaddbbfabceaeabfabcebadbfbaadbgabfbcaaddcbfcbfbbabbfdaaaaeebfdaaeabdbgeeegfgfcbggegedegdbggfgggbfbcaabfdbdccaaeeecabcabgadccbcacbbeacfcadcfadcacaddcecabcadebbdcbcaedbadeacaefaacbdcafbcbagacafdaaaedcafdeaabccagcacebacagccafaacbacbgbaecbadcabfdcbaeeabdccbbgabacecbdaadbgbcbfabcafbcbfadafabcbgaaabdeccafbcbeaccbabacfeccbbbddaecccdbbabfccdbbbacfcdbbafcbccdbeaeadacdcabccafcdccbbceacddabfbcacdeaddabbcdedbacaccdgaaccacceabadcebceacdacdbceaddabbdcedaacfabceeffgcgdgcegfcgcffgceggcggbgecffeefgegccfgegfcffdcfgeggfdeccgaaedcaacgadgggdfgcgafaacaccgbaaadebcgbcaccaccgcecggfegcgeedfcggfcgefdgfggacggaacabacggbabbaacggcgfaffgcggfcgfefcdaaadbcfddaaaeacdfdaaaeadbgdabadccbfdabcbgbbcdabecbcccdabgbeabbdabgcbadbdacacadcfdacaddecadadcfaadbdbaacecbedbbfbcbcbdbdbadfabdbddcfaaadbdgfgffefdbedbcabcdcaadaedcdcaafacfadcacdaddbdcaegaaacdcagcbcabdccaeebabdccgcbabadcdebbbcadcfefcgffgddaeceabaddcaabcbfddcaccaebdddgefdgegddgafdggfgddggfaegffddgggfddcgdeadcaabedefbdfgffgdefgegbfefdegeeffddgdfbcaacbddfbdgggfdfdfgaggfddgdfgdbegefgdfgdgfeecfdfggecefgcdgagabaabdgbacbccadgdceggdgedgfaefggfddgfecfddggdggdfedgbgdggeefbffedggggafgdceaaacdeaeeaacffabaeaafbdbadeabgdaabceadccadbceadeaddaaeagdabcbaebafagabaebcaabcbgebcagdabaebdgfcggffebfggefddgebgggefdeeeccdacaaeecdcbabdbecgdegdfegedaaabdecedbaaecadeddacabbdedfeeeffefeeadabeabeeegffafegefbgdggecgefbgeggcgdefeffgddeeeffafgegdfeffcgfefgbeffddegefeefgfecddgfegagffefeeegdgbefgdfegegeaefegegfcggeddeegfddfefcgegffgeeaefeggdggeddceggecfgaffeggfbecfgefaaadfaaefaaafebcafabacdbfafabcacccdfabeccacbfacafaebafadabdccbfadcccbacfadgffgegdfaecccbabfafaabbfafbacdccacfbbaebdcafbcaaabdffbgdgeagggfbgeeeeffffcadadabdfcbaacddbfcbaebcbbfcbfadabafcdbaacdbfdaacgabafdaegefffgfdagebggggfdbbeabacfdbdeggdggfdecababbfdfgbggbegfdgcgbfefgfdgdgbgdegfeadbbaadfebgefggecfecgfddfgefecgfegfecfefdfdbfggfefffdfcfeffaadabdaffccegggedffcgfdagfgffedgeaffgffefeeaeggffegfffacgfffgaefffdfffgafgdfdffgdegfdagfgcfcbgfgffgcgcgdfeefgdddggeedfgfbeddgegfgfdcbggfefgffegbdcggaaabdbddgaaaebbebgaecbdbaagaeeffgbgggagbccaaagaggeddggdgbadbadcbgbbabfbacgbcadaafagbeaccabbgbfbgggbfggcecaabacgcefegaggegcfgegeaffgcgefegdcfgcggaeggcfgdaeggffdfgdbdgfggcfgdcgcdggdggddeggfdcfgdefegggbcgdfgfcedefgdgdfegdcfgecbcaaacgecgdcffffgedegfffdcgefdgcdfefgeffdecgeegeffefeaeggefffcecgegegaeddggfgegfdeceefgegffcgdddgfaabacadgfcacaacagfcgdfefgbgfdgdfcfdfgfecggdfcegfedgbdggdgfegaffgaggffbdgaggfgffgfcfbeegfgagccggegfgaggbgedgfgcadgggdggbfcefegeggceggeeebggcgebgdefggdfgceegbggecfdfggaggegagdeeeggegbcgaggggfdfcegecggfebgbgeeggffcegagdggffdbecgfgggfafgaefaaacbbfgdaaaccgdafaaadeeabgaaafbcbefaabacgafeaabcecadgaabedbbeeaabegbcbdaabgbdecbaaccaeccgaaccaefbeaacdbddbfaacecfadcaacfabeddaacgaebcdaadbcebbgaaecbeaedaaedadbdeaaeebdecaaaeeedcbaaaeefaebaaaegbaaedaafdbbebdaafdecabdaagbccbddaagbebdadaagfaabceababagebfababdgagbababfegbaabaccfgcaabacgdgaaabbaeacffabbbedcbfabbdbeagcabbdedbcdabbdfcbafabbegcbadabbgaecbdabbgbeadcabcacdbfeabcdcfbccabcdfacdcabddceacdabeagbbdcabebcdedaabedbcdeaabfagbadcacaadcedeacacdfagaacagddbdaacagecaccacbabcfedacbbbdgccacbbbgbgaacbcacfceacbedfabcacbeeafbbaccgbbaddacdabaedfacdcedbdaacdcfbfaaaceafdcacacebbbcbgacedcdaaeacgadadbdacgbbbbgaadabdcdddadadebcebadaeedcbbadbcefbcaadbgdaeabaddeacaecadfbcceabadgaacbddadgfaacbbaeabfbgabaeaceabbgaeadbebfaaebbadfccaebbfdbadaeeafabccaeecaeaaeaefbbcafaaeggcfeggfafabceddaafabfccdaafabgcaaeafacfcdbaafaeabcbfafagebacaafbaaafdeafbbebcbdafcebbeabafdcbcdacafdcccaccafeabbddbaffdabbcbafffeffdggafgfgafgfgagaacbfbdagabcebeaagbddcaadagcbbbccdagcbbdaafagdbagbbaagdfaaadbagegfefdfgagggfeegcfaggggffgaebaabbdgagbaacbdddfbaaecdcagbabbcefdbbabcagdafbabdbeedbbabfeaaedbacaaedeebacdbbeddbaceecdcabacgaeabebadcbagcdbadeadcdcbaecagabebaedeaebbbafafbagabafbeacebbbabfbfbdbbaeedcdabbbbcaggabbbbfdcbdbbbbfgbcabbbbgcdcbbbcagbdaebbcddfabcbbcefaadcbbdbbacgdbbdbdadecbbdbdgadabbdbgdcbabbeaaadfebbeabbfebbbeacdcebbbfbbcagbbcaabecfdbcaabgfcbbcabdeabgbcacdaaegbcaddbedbbcafbdfabbcbadedaebcbagbcebbcbbbfbfbbcbgcbbbdbccadgbbcbccbdeccbbcccdfaadbcdaaebcfbcddbbdbdbcfabedacbcfaeadcbbdaadbddebdadafddabdbacabgebdbbffacabdbcddcadbdcabfcbdbdcaeabfcbddadgcaabddcaecbcbdebadbebbdffgefegfbeabdfaaebeagbecaabeagdbcabbebaabddfbebbagbeabeccaddbcbfaadagbcbfabfbabebfacbcacfbfaebdaccbfbgccababfdbacbbebfeaedababfedeggggdbgacdacdbbgacdbafabgbbbaeccbgcabcaddbgccfbababgdcbaaafbgefgeffcgbggefcdggfcaacebfeacaadeaecdcaagcdcadcaagdbfbacabaccecfcabaeddafcabbdfbebcabeafcdbcabeebbbecabfacfbccacabcdgccaccaabfgcacefabeacacgdaaebcadcbeeaccaefabbebcafabbbgccafbbfbcbcafcafbcbcagcagaaccagdabacecbaaeddebcbaeabececbaecgadacbbbbadefcbcafabdecbcagabagcbcgcabaecbdaaeccecbdabdbfccbdbgacdacbddbagaccbeccbcdbcbeeebcaacbefacaaecbfabdddacbfbdcaccccadebceaccbaebeccccccbcabgcceaacbcfcceaeccbbccedggggdgccggfeeegfcdabcdbbfcdacedcaccdbabbgeacdbccdaafcdcbcbebccdcbdacfacdccdadadcdcdcaddacddaeaceacddbcabcecddbdebabcdeebdabacdgadadbacdgceaabaceaabbfcdcebaadceccebabddcccecaacdebcecdacacdceefadaaacegcaabbccfabdbcbdcfabefaabcfcagggggfcfeeegcgfgcgaeacabdcgccbadacdaaafbfaedaaafebbedaagbgaacdabadeeaddabcbaeeddabccddaedabgfbabbdacgceabadaeaacccfdaecabafddafcdadacdagafbcabdbabfaadfdbacbfdcbdbaecacbfdbagdaabedbbafbadedbbcbcfcbdbbeaaecddbcacaeecdbcbacbdfdbdccbafbdcaacdgacdcbeadbeadcbfaaecbdcdbdfabadcdfbbabcdcfabcdbbdcgaaabdddcgbcadbadcggffggafddaabbefbddaabedeaddadbacddddafgaaabddagfabaaddbabeaceddbbaadedddcbcbaecddcbfbcbadddeaaebaddebaadaeddedffggdgddfffgegdeddgcgfdggeddgggegcdfdeaabfdacdebaacdcddebabfdbadecabcafbdecdbbcbbdecedcaaadeeabacbddeggebfggddfaaebbdbdfdaadadbdfeggfeegbdffgefedefdgadcbbbbdgcadaaccdgceaaaaddgfaegfgefdgfecggfcfeaacbbgeaeaacebbddeaaeafbcceabbcdaedeacbfcbbceacceaafbeacdcbdadeacgadbcaeadacbgcaeaddagbabeaegdaaabebabcbefaebabecbcdebadcacecebbaaagagebbbagacdebbbbdccdebbdaeebaebbdeccabebbfaeadaebdabacfcecbaaeadeeccdbbadcecdaacgbaecdeaebaaecfccbbbaecgbaadacecgffggffaedabcdafaedbbadfbaedcbdbeaaedccbaccceddebbacaedggedfgbgedggedfgfceeaaaaffaeeaadbagaeeaafaabeeeababgcaeeagbdaaaeeeggegfbeefbbbdaadefgbeggaggegaabbaagegacaacccegafefegffegcggeddffegeeggfcgbegfgfdgfbdeggdgbfgdeeggfaggefcfaaadbgcbfabadbddcfaccacbfbfadabbdfafadbdccbbfafacdbacfbabdadaffbbafabbefbbcdbfaafbcacbagbfbcdaaccdfbcgbabcafbedacacbfcaacfdbafcafabdacfccbbacebfcfccaabbfcfecgegfffcfgcgdggdfdbbbacdcfdeceeggfffdfgdcgegefdgbfgdggdfdgcedgdggfegadaaaafegfecffgcfeggcdfbggffbaeabcaffdgccdgggffeedfcgegffegggebfcffgffdgcdeffggccgegcfgddegcdggfgdfbgffcgfgecgecdggfgeeegfecefggfdfeefbgaaadbcaggaafbdbcagaagagaaagagggeefedgbabbgabcgbaecaacdgbafbebaagbbaegaaagbbcccabdgbbcdaabegbbgcbbaagbcadccbbgbcbafbcagbcbcbcdagbdegffgeegbdfaaaadgbdfbaabbgbfdbacaagbfegggdedgcaadecabgcacccaaegcbbdacadgcdfggbegfgcgefgdgbfgcgegfeedegdaaacabggdadabccbgddcdgggdggdebaabadgdedggdegdgdeeefeeeggdfgegeaffgdfgffbgdegebffegffdgebffggbffgebgegggebgecaeaacageccdbaaagedffebggegeeffgfadggeefgfffccgefdeggeecgeffbfgddggegbegeeefgeggeafffdgfccfgfegdgfceggdegcgfdffdcfffgfdfgcggdcgfedfgffdcgfgegadeegggabaadbbggcdgfgcdfggdfffgdbeggefeceedgggegdagffdggegebcggdgggdgfdccfgggefggcdagggfcefcdfgggfgggadaggggfbeeecaaagecaedaabbaeegdaabdbfbeeaabedbdcfaabedgadcaabfeabeeaabfebcfbaabffdbeaaabfgacafaacbbgdddaacceagbeaaceafebdaacebafdeaacecccdeaadbcedddaadbfbccfaaddfcbafaaebbaeefaaebccgbdaaebdbfafaaedcfafaaaedcgdbaaaeddaebeaaeeeaddbaafaefdbbaaffcbddaaagaadaffaagacfbfaaagbddaceaagbecabfaagcbgeaaaagccgbacababgafecabaccfbeeabaddceecabaecfcbeabafbbgfaabafcdagcabafffabcabbdacbfgabcbcgcbeabcbedbedabceagcdbabcecfdbbabceddbbeabdcdeagaabdgcbbdcabeaffaccabebdeabfabedgdacaabeebfaaeabeedcbccabegeaaccabfbaagceabfedfabaabfgbfbaaabgaaccgcabgafbaecabgbabeceacabcgcddacacgcaedacaebdagdacbbbegdbacbbgceadacbdfgacaaccabagdfaccceabdfacceafbebacddacgbcacddbafbeacdebfbcbacdfacfacacebgaagaacfadfabdacfbcbcfbacfdccccbacgcebadbadaafeebcadabdadgdadaeagaagadafaadeeadaffdadaadbadcdbgadbbafaefadbcedafbadbdedcbcadcbdcbedadcdaacdgadceccaceadebaegbaadebfdadaaeaadbfgaaeaefbadcaeafaecccaebaecgacaebbbefcbaecacbgccaecdabdceaeeaeccbcaeeecabaeaeeedaabdaeegcaadaaefccdcabafaafcbceafadccbceafaeacagcafbaacebgafbaaffdaafbebbadeafcbbbbeeafcbbfabeafcdcebbbafdcaagcbafeacccbdafedcabccaffaebbbcaffbabadeaffdcacacafgacdbbbafgeaaabdagabcaeceagadeafbaagbcbbcceagbcbeafaagbcfdaacagdaccbfaagdcbdeaaageafdaabagfaaabdeagfabeadaaggeegfegeaggffgeggbbaaadedcgbaabgffabbaadedaeebaadgbeeabaaeabgfcbaafcegbabaagbbefbbabacgbdfbabbaefbgbacacggbbbacaffbfabacbdcfebbacbfadcfbaccdddafbacecegaabadaadfbgbadedcgaabadffaacdbadgbecacbadgdbccbbaeaafadgbaebbdgdabaebgcadcbaedaacgdbaegadbaebafabgafbbafbcdedabafdadcbebaffaaafdbagabedbdbagcdcaafbbaebgagabbafbbgaebbagaaffbbbbbfdedabbbddcdfabbbeaagfbbbbecdfbbbbbedbdfabbcafgcacbbcbcfdaebbccfcbafbbcdfcaafbbdafaedcbbdbacfddbbddbaaffbbdecdbdbbbfbbbefabbfcebdbbbbfdcabddbbfdecdaabbgaebfabbcaafdccebcabafbgdbcabfcddcbcadagbcebcaffeabbbcagccfbabccbgbacebccfadfabbccfdadadbcdadcbgbbcdbdabeebcdbdeabebcddgcabbbceadcdeabcgbdaaecbcgbdadbcbdabdbeddbdacdacfdbdacdbfeabdagbcbbebddeabdbdbdfaabbgcbdfbaeafabdfedbbabbdgbbecabbeaceccccbeaecdafabebacaefcbebcebabfbebgadbbcbecabgebabecaebabgbecbfbaebbecceaaddbecdbbdeabedcfaaccbeecbacbebeedbcabdbfadaageabfcacaefabfcbacbedbfdbbbbbfbfdcbcbccbfdebccbabfeaaebeabfedaacbdbffabagabbgabeafcabgadbgbabbgbggcfgggbgccacagabgfaabbafbgfabaecabggcabbcacaabdgebccaaeacdfdcaaeefdabcabbebfdccabbecdddcabdffaadcabfaadeecacafaffacaccacegbcacdedbbdcacdfbfbacadccfcadcaddebagacadeaaeagcaeabcdbgcaebagdadcaecbbdfbcaeeadbbecafdbafdacaffaafcacagbdbbebcagcbcddacagdgffgggcbaadaedgcbabaffcdcbabdcfebcbacadgbecbaddbcbgcbaeacfafcbbadcfdccbbbagccecbbccddcdcbbeaaecfcbbfccbcdcbbgbaceccbcabedgacbcadeddbcbdaedcbdcbddcafdacbdfbgaabcbeagabbeccabafgdaccacafeaeccbadefbbccecabdebcdaafecadcdabbdebecdabggaabcdacdcdbdcdaceaccecdacfebbbcdafaecbccdagcabfacdbaefaeacdbbfacebcdbdcgacacdcedbcaccdddfadaacdfabbbfbceaadeagaceabddaagceacdaedbceadcdaebceafcccbbcebceeabbcebgaaafbcecabdbbfcecbafdacceccafeaacedcgbaabceddbbacdceddcbdbaceedbaccbcefecggeggcegbbacbccfaadefaacfacdddabcfbabaddecfbabcddccfbgeaaabcfcdbaaagcfdcaeaadcfedgffdggcfffgefcfgcgbbabdafcgcbedabacgccadacccgdgabaabcgfgfgfgbdcggacbcaadaaaafafgdaabcfeccdaabdaedfdaabddagddaafccdaedabefadaddabfdecabdacebbafddadcecdcadaecaedbcdafafaadddafdbdbaddbadbbceedbdaaddcedbdabcbeedbdbbdabgdbdbgebaadbdcbccfadbdfebacadbecfcaacdbfbcebcadbfdadbdadbfeacabddbfecdaabdbgdbaacddcaaedcafdcabcgfaadcadcaeebdcadeebbbdcbbcdebcdcbcbfbeadcbdfaaebdccbcgdaadccdbdacddcfadcccadcfcabcaeddabdecdaddcbdceabddcbfbdabdddadabfbddddaacdcddedcaccadeacgaaccdebaaafbfdebafbdbbdebfcaabddegdffgfcgdfaabcfbcdfbaaebfadfbccabbedfbeadbacdffeffdfffdgaeaacccdgbdabacddgecbcaabdgfaaaebadggegfgaefeaabafecdeaadeadafeaadebabgeaadgafbaeababcebgeabdbecdbeacbddagaeadcaaageeadccfbcaeaeabbafeeaeabdagbeaebdbbafeaefaeabbeafgggefgdebaaebfdbebaaefeabebadcfcbbebafbfcbaebbcefcaaebbdeeaacebcbdfcbaebdbaebdcebddccdbaecbbeabfbecbecaaagecbedeaabecegggbggeedaeaedabedaeagabbeedaaccbdeedeaabadeefaggffgeefaaeeabbefeaacbadefgbgcgggdefgcdefgffegafabdaaegagefgdfgegcaddabaegfceefgdgeggcggggdaeggddgdgdfeggfgffceceggggdadfgfaabccfccfaabeebbdfaacecaddfaadadbbgfabbadccffabcbabfefabcdddbbfabdafcadfabdcafcbfabdebafafabdgbcabfabfdcacbfaeccaacefafbaccbdfafdabebafbaabfaedfbabgcaaefbacfabfafbaddbdadfbbafbaagfbbfbbabefbbfbfaabfbbgfaaabfbcaafabffbcdadaaffbfdggggcffbgegfdgfefcabbccbffcacbecbcfcaddbadcfcbbdddabfccaagbcbfcdaacbfbfcdbafcbafcddbdacafceegeeffgfcfaacccbfcgfgfddfffcggfgadggfdafbbdabfdcabafdafdceaacadfddccabcbfdddaacadfdeaaagabfdfdababbfdgfddgdfgfeeedfeeggfeegffdfeefefgfeccggfefgfgddeefegfdbeggfffaafaccaffcaadaeaffcabaddaffcbbebaaffcfcgegffffdaaabebffdadbaacffdccaacaffdfdgegfdffeacfggggfffgefegdcffgfeefecfffggfeeeagfgagfgegedfgcggfgaeffgdggbeggcfgeefefefdfggefddgbgfgggfcefcegaaacebcegaabccddcgaabffcaagaadbbcbfgaafbcabegabbbfacdgagbaaabfgagdcaaacgbaaaddbfgbadcdccagbcaagaaegbcbdbfaagbffggfffbgbgadcbaagcafeababgcbeggggfdgcccaaafcgceabcbdagceacccabgdacbaagbgdbggeegfegdeaceaaagecbbaaebgecdaacbbgedaaaacegefcgggceegeggedgccggfbfbggefggfcfegdeeggfdccbaaagfefggccgdgfegeefffbgfggcfeefcggagagdgggggbaaagaaggbbfgcgggggdaaaadbggdefebgegggebdgdgffggegdegeagggfggcebdggggbgdeffdggggbgeccgaaaagadgfaaabfceeeaaagdbbfeaabcbgbfeaabfcffbbaabgcdcddaacbeebeeaaccebcefaaccfbeecaacdeeacfaacfddcbeaacfffbbbaacggabafaadbadedgaadcdcgaeaadeddgabaadfacfbeaaecbdfdcaaedbaegcaaeedcbagaaefbcbbgaaefgbaaeaafbcgfabaafegbeaaaaggdadacabadgbdagabaecgagbabaeffbeaabbafeedcabbbffcebabbcacgfdabbdbbfeeabbdbeegaabbddbegbabbfbedcdabccbbcgfabcdaefebabcdcecceabcfebbfbabdeagebbabdfccdaeabeacggababeadfbagabgagbecaabgbccedbabgddfbbaacabccgcfacaebgbecacbabecffacbaefebdacbbgebafacbeadbdgacbedbeafacbedeaagacbfdcbbfacccbgafcaccebafceacdaeaefcacdaecbgcacdbabggbacdbgecbbacdcaecbgacddgdbbbacdfaaegaacdfbfdbaacdgcgabaacebbgfbaacecbfdadacedccddbacedeaebcacegecabbacfadffaaacgagbbccacgcaecdbadaaaegcfadabbfbdgadadededaadbbcfacgadbdagagbadbdbffcaadbdedebbadbecddccadbedccebadbgcbcbeadcabcgagadcabeddeadcbaggbbadcdacbefadceaebfbadcefdbbbadcfbbcagaddcfabgaaddcfddbaaddfbbagbadeccaafeadefaebdaadefafaadadegabaceadfbbdbddadfgaeacaadgaabeagadgabbfbdadgafaaagaeacfebaeaeagcbadeaeagdgabaaebgbaaeeaecdadbdeaecebbcddaecgaedabaecgfaacbaedccdceaaeeabdbbgaeeaccgacaeeadfbcbaeeaebcfaaeeafabceaeecbdcbdaeedacabgaeefcaaafaefbecaaeaefccbbbeaegbabfbcaegebbbcbaegfgdgeggafaagbaeeafabdedccafaefcabdafbdabageafbdddbdbafbdedbcbafcbadfaeafcbbcdagafcdcacecafdaagfabafdddbcbcafeeadabdafefagaaaaffcbfacaafgcaaebcagaagecacagacagdadagbadafdcagbcfdacbagcbcfeaaagcgfaaabagdgacbacbaaaegagdbaabfdagebaacgfbcdbaadaagegbaagbdefababbbgcdfbabccfbcgbabfbgcccbabffdfaabacccdfebbaceacebgbacgaeccdbaddecbddbadfafddabadffbaebbadgceaccbaeddccebbaeffabdbbafadabegbafeadafcbafgaaddcbagafbaedbagecdccabbacefcafbbacfdgcabbaebebgcbbafagbagbbbbededcbbbcagcdebbcccaeeebbcebbdgbbbcedbcecbbcgbbcecbbdbfbagcbbddbeagbbbdedebbcbbdggaadabbebbeeaebbecbecbebbefbcddabbfabdcgbbbfbcecaebbgcadbagbbgdcebcabcaaacfgebcadedcebbcbbebdcfbcbbefbdcbcbecgdbabccaedfdabccbafefabccbgcagabccgcadccbcdaebdddbcdccbaefbcdcddafbbcdeeacccbcebdedacbceceafbbbcedafbeabcedbcafcbceeccafabcfcabecdbcfdbfcabbcgebbbbdbdaaededcbdbcdbfbdbdbcdbfeabdccbcbfdbdcgeaaaebddaeeeabbddcccafcbddfadcdabdebafbebbdebfaabfbdegbabeabdfdadeabbdgebcbacbeagadcaebeaggaabcbebcfcacdbecgadbcbbecgebbabbedaaaedfbeeaebcaebeebfcbbbbeffbbadabefgbcaabbfbbaagddbfbbefadabfbgbdaadbfbgdabdabfccccabfbfcfabcdbbfdaabfdcbfdabgdbabfdeacafabfdfcaabdbfedbbaebbgaacdagcbgbeaccccbgccdcbadbgcebaafbbgdbeeababggabcaeacaaagddgacaaeefebacaafcaecfcabagcecdcabbddbefcabcdgaeccabcgcbgacabfdbdfacacdcaffbcacdggabacaceacbfecacecdebccacedabeecacfdbfcacacgdbbafcadebaeddcadfedbaccadgcbdadcaecabffbcafaeaebecafaefacccafbcceaecagceaaagcbaaafcegcbaecgabecbafbebeccbbaagaegcbbebcefacbcdfbbdccbcgbeccacbdcbbgbdcbeaceadecbebgbcadcbegbeaaccbfbcfbbccbgaafabfccacbecfcccacfdcbdccadaddgbccadcfdbcccaeeeccacccbacbgecccbdgccaccefbcbadccfadcddaccfeaddbaccgagbadaccgdabbbecdabdfbbecdacbcdgbcdaecadcecdaedaagccdafafeabcdbbbcaffcdbdcafeacdbfbbfaccdbgdccbacdcacdbgbcdcbeeeaacddbbdcafcdeccfcaacdfaeaafbcdfccadadcdffbadbacdgabcddaceaaabegdceaacgaecceaafcagbceaebafcccebbbbccgcebbbdagccebcagabecebddafbbcebebaagccebgafbabcecdaafcccegbaaaedcfaadfcbccfaafcabfcfadedacbcfbacefabcfbcagbbccfbcbeabecfbfaaedacfcbagcbbcfccbbeadcfcdcecaacfeagbacacfeagcabacfebaacddcfgcbbbbbcgaaeccdbcgbabcbfccgcaebabecgfgggedeedaagfabbedacaafedddacacgfcadacdcecaedadabgecbdadbeccafdaeaeagbcdaegbaecadafcfbaeadafeddaacdbabdadefdbacdagafdbaeaccgcdbaeagbcddbbbagbgbdbbbfabdfdbbccbddedbbdgabfadbbecfaaedbbgabbbgdbcaeebdcdbccbebagdbccceecadbceaedaddbcgfabcadbdadbaefdbdbcaegadbdddeabcdbebcceaddbebgbcbbdbedfbadadbfaedbcbdbfcfaaeadbfdabacfdcaebebdcdcagcbgaadcbbdbbfddcddfacbbdcebccbdcdcggfgeeegddacbceebddacgdabcddbcbcdebddbdcbbfbddcdaagcbddcddgaaadddbcabdeddeadacdcddecaeaccddfdbabeadeaaafebddebbabeagdebcdabbfdebcddaeadecdbafacdedbaaecddefcdfggggdefdbbacbdfaaccdfadfaadacgbdfcaeacaedffababbedffbbaaebdfgegcffegdfgfefgbgfdgabafabedgabbgacbdgagdacaadgageggggddgbbfadabdgcaaadbfdgdddbaabeaabadegceaabgfbdaeaacfaedceaafdcgaaeabadbafgeabccbageeabdcbdceeabfbgabceabgaaedceacdbcagceacdgaacdeaceccdadeadbagccceadcaacgdeadccadddeafbcdadceafcbacceeafedabadeageaabfaebaadefbcebaaecdecebafccagaebbaaegbdebbaebcbgebbbafbdeebcbegbbaebcbgbdacebdcaabgdebddbaeccebeabbaefecaaceeaeecbebgaaceccbcdcaeecdbaceaeecdbbdcaeecebafeaaecedadadbecfbaadcdecgababddedabdfcacedbabgbccedbcdaecbedcadcecaedcaecfaaedcbadecbeddaaddccedebbcabeedecdcbbaeeaadfdbaeebagcbaceecebafaaeefaaacafefdcabafaegbbeabbcegdecgdgggeggdfcfgeffaagbdcadfababdbeffabbfcagafacadeecafacaedcbdfacedcaccfadabeabgfadacbeebfadcfbcacfaddaabcgfaeaeabbffaeeaabcefafabfccafafbcafbbfbaabgbagfbacfbbbefbbacdbbgfbbbdaaeffbbbdccaffbcfbafabfbcfcabaefbddbbbbefbeccabaffbeebeaabfbgbaabagfcaaagaedfcaaddgbafcabbcedcfcabeadaffcacccddbfcageaadafcbcbbdcdfccbccceafccgggdffgfcdbdcbadfcebbaecbfcedfdggggfdbaeddabfdbgaacadfdcadebacfddcaacebfdfbbadbbfdgfcgdgfffebcbabfbfecaacccdfegffgdcfffeggggedceffcaaadafffcabaabgffdbgfdgggffefeefggcfffaabaeaffggcefdgefgacbdacbfgfabadaafgfdcggcgffgfgdgefbfgaaagbdccgaabgadccgaacddaecgaadcdbbegabbcdcdcgabbcgbadgaccaadgbgaccbccafgadeecabagadfadabcgaeaabdgagaecdbdabgaedaceabgbabaabfggbacdagbbgbaceaaedgbadafadcgbaedagaagbbfabcbdgbcaaacfegbcbbbddcgbcdaagcagbeagbbabgccaagcacgccbaaaefgcdeaccbagdbbgaacbgdcabdaafgdcbdaaafgddbcabbdgddbcdacagdebabafagdfdaabcagdfdbababgeaadddbageacbaedagebacdbadgedfdfgggcgefbaabdagefefdggbggeffgdefcggefggebffegegffcfgedgfdgeggagegfeegfbefgggaacddaaggfdgcgeeeggffbgfgfbgggcfggbdfaaaafcgeeaaabecffeaaabgceeeaaadebgbgaabdefcecaabfedcddaabfffdcaaacbfacfgaacdefddbaadbffaedaadcceebfaadfgaedaaadgfadbdaaeafcfcdaaebccgceaaeddccgbaaefcfbccaaegaebceaafbcadffaafcbadffaafccbffbaafddabefaafdeafbdaagafbfdbaagbbaffdaagbcagfbaagbffdbaaagddadceaagdedadcabacdfcdfabaddbedgabadegbfbabaedgagbabaeffbbeabaegeebbabbacbgegabbgcdbedabcbegadeabcbggaebabcdfeceaabcebecdeabcfgafcaabcgcdcfaabdbadbggabddadcdgabddbeeafabdgaddebabeacgbdeabebdbdfdabecbdgbdabecfedcaabedaaggbabedbefbcabfbaeaegabfbceeccabfcdacfdabfcebcceabfdegcaaabgabbgddabgaceafdabgadbceeabgafabdfabgagbadeabgcaceagabgfaedacacadgcedbacagcfceaacbcdedgaacbeecdcdaccebcdcfaccfbfeacaccfgccacaccgfcdbaacdafceafacdfacecdacdgabbgcacedaedcdacegacbfbacfccagaeacfdbcbdeacgaeacedacgagecabacgbcdbecacgdcaeaeacgdcfcabadaaggecaadadcgfcaadadfgabdadadgbcagadaeeaageadagebbbfadbcdbdfdadbeafebdadbfcfafaadbfcfbbdadbffaedaadcaagageadcefceabadcgccaecaddbcebbgaddcaecgbadddbdadfadddeebadadebdeagaadecfccdaadeeaddaeadfacffbaadffbbdcbadfgeadaaadgaabffbadgabgebaaeabffbebaeacaedfdaebbebaffaebcgfacbaebdcdbgbaebdfbcebaecaefcaeaecbeegaaaecebbdgaaedaagadfaedafbdbeaeeedaafbaegabdccdafaadcebgafbbcdbdfafbcbddfbafbgbcaagafcbcagebafcccdeadafcfadbafafdbdbeeaafdbgeacaafdfcdaadafeaabgebafeeddcaaafgeaabfaafgeadaadagabbbaggagabcbagfagafcacddagbaeaegaagbafadceagbccbcfcagbedabbfagbedbfbaagccfebabagccgbaeaagceccaafageafbeabagebgaaeaagfbaadceagfbabcgaagfbbafbcagfcbdbdaagfcfabbbagfdbecaaagfdgaaabaggabdacdaggegfffgebaaadeffdbaabdecffbaacdfaffbaacgaefdbaadgacdgbabeafebfbabfgbdbdbaccfdeeabacddagecbacdeaddfbaddacgagbadddegabbadeagaedbadefabfcbaeaeagagbaebegcbcbaecfbbgbbaedfabbgbafedagbbbaffcabdebaffccaagbagcaeeccbbacgdafdbbadfaafgbbaedbcdgbbafaffdbbbafcddbfbbafdebecbbbbcddgdbbbcadegdbbbebdgaebbbeddadfbbbfceadebbcadcdgdbbccdcefbbbccdedcdbbccfddeabbcdadgbebbdaadegdbbdcadbffbbdecbdcebbdfeaagbbbdgeaaddbbeaebbfebbebcbbegbbebgcebbbbefdabgabbgadgbbcbbgbbfbcdbbgbcfdcabbgdfcacbbcaccebdgbcaddgagabcaegbbgabcbaedeecbcbbfcafebcbbgbeebbcbcfbdgabcbdffdbabcbedcfbcbcccgadafbccdafeeabcdadaeeebcdccafcebcdgdcccabceaeaagebceagadfabcebeacfcbcfaeaccfbcfcdeccabcfddaedabcgbaagfabcgbabecebcgdaeeabbdaagbagebdabgdabgbdacbadfgbdacgceadbdadddcagbdafacgeabdagacaefbdbaebecfbdbbccfgabdbbeaefcbdcbfaadgbdccacfgabdcfaafafbdcgbaeaebdcgcbgaabddabdaffbddcccadfbdddbcccebddfadfabbddfccdbbbddggababbdebbafgabdegabaddbeaaeddddbeaaeeccebeaegdcbabeaggadabbebbddedbbebececadbecagbbgabecccceccbedadagccbeddaaeecbeebcacfcbeeceebbabeedabfcbbeedacbfbbefadgcaabefdaabbgbfaaebgbdbfaccbbgdbfafcdcbcbfbabagcfbfbacdbdfbfbbabaggbfbbbagecbfcaaddbgbfcacbfdcbfdabdbedbfdadcdeabfdbbebcdbfdcdgababfddbgbabbfebdebacbfecddaadbffcbbbbebfgbabccdbgabddcfabgacafagbbgcdcecbabgcfgfgfgfbgdaaaffbcaaaadggecaaceefbdcaaebffcccaaegbbcfcaaegcacfcaagfcceacaagfcecacabaefbfdcabagddgacabcfddcdcabeadgfacabecfcbecacadgacgcacbbdcegcacdcefdacacedafcdcacfacffacadbbgaeecadbfdbbfcadcbffadcaddbfbbfcadfacdcecaecabbfgcafacceagcafcgcadbcafdddabecafddfbcacbabcccfgcbadbfafecbadedgbbcbadffeabcbagecbfacbbbdbffccbbbefbeccbbdbbfcfcbbdgdcadcbcafdaeecbcdeeacdcbddedcdacbdfaaddecbdgfbbaccbebdefbacbefafdabcbegbcaafcbfbaaedfcbfeagcabcbgbabdgbccabcafgdccadebbfdccadgbabgccaeegabcccbaacdfgccbbfbdeccccadefbccccbagddccccffaaebccdbaabggccdbbbffbccdeabafecceaaddfcccecaaegbccecbcgcaccedbabeecceeaccbecceebgacaccefacafbccfafecabccfbaffbaccfcbafaeccffaaedaccffebacaccgaeaagbccgcaafbdccgcdabbeccgfacbcbcdaabaefgcdaacfdcecdaadbffccdabebgeacdadeaafecdagebaebcdbcbcffacdbfadbgacdcacecgacdcbbefdacddaeefaacddbbfdcbcdeaefaadcdedaeacdcdeebccadcdfccbaeccdgeabeabceabcaefdceabebgbcceadabfddceadbebceceaeebbbeceafccbdccebcdedcacebdaeagbcebfecacbcecabddagcecbgaaagcedadbfadcedbceacdcedbdgcaaceddcagabceeaabfafceebdbdbcceecbadbecefbebabdcegabaeeacfaaeeacecfacecacecfaebfbcbcfaegbbaccfagbabfbcfagcfbaacfbccgbaccfbfbfaaccfcdbcfabcfcefabcacfdcaecadcgaabdfdbcgbafbcbdcgbcbfccacgeaaecbccgfeaaabdcgfeggefdgdaacagdgbdaacegcdbdaadcgecbdaafgbceadabaafeeedabbgbgdadabfaecagdabgadagcdabgbdcebdacbeagebdacdaadffdaceebedadadafcacgdaddbafdddaeabeeebdaeaddddcdaefbfbbbdafaffbacdafbaddbfdageabgbadageacagadaggcbbbbdbadccffadbadcecbfdbadcegacdbcabageedbccdeabfdbcgagcbadbdbabcegdbdbafagcdbdbeaefadbdbgebacdbdgadbaedbebbfddadbecafadddbedbeaebdbedcaagcdbfbfdacbdbfeabecbdbfebbadddbgaeeabcdcaccccdfdcacebccfdcafbgdbadcbaccfgadcbbacedfdcbdcacdfdccacgdbcdcccaebbgdccdacbeedccdbdbgadccecebbcdcdabbddfdcdeabcdddcebccfbbdcedadbbedcfdcacaedcgedbcaaddaafaageddadbagfaddbaaedgbddbbdbbfdddbebecadddcagdbadddcebafdaddcffaabcddcgbbaebdddebbaecddfabagbcddfdfcaaaddgbddabbdeaabbffcdeabddecbdeacagabfdeacccbbgdeacdcccddebfeaadbdecaccdebdecaddbafdecceafbadedafbadcdeddebcbadedfaabfadeeacgabbdeegfegggddefbecbabdegadaeabdegbabdbcdegdcdaaadfacdeaaedfadfadacdfafcaacedfageaadadfbdacdbddfdcdbdabdfddaaacfdfddabfbadfedbafaadffaddbbadffbaecabdfggfdgdffdgaaebbagdgaebcabedgbafabafdgcbfbcbadgdcecbaadgfdbabaceaaeeaeafeabdaegadeabdbegcaeabddabdgeabeadfeaeabeafcebeaccbdcgbeaccdaeageacdaddeceacgccabeeaeagfacaeaeccfdbaeaedebbbdeafbcbbfceagaabebfeagbbbcddebabcfeccebafcedcaebbaebgeaebbeabgbdebbeeebbbebcdcbaeeebdbbcebeebdbbfbafebeadcddbebggdgeggfecabddgcaecacbdfbdecaccceafecadbgcadecbefbaaeeccabfcafeccaefaeaeccafcaageccdbcecbeccgaddbaeccgddabaeccgfaacaecdfccabcecfabccdcecfccaebbecgabeaccecgebcbabedaaddbbgedbcddafaedbegadaaedcdcbbafedcgbadcaedfeaadacedfgggfeeeedgeeggegeeeadcaeaeeebacebafeebaebdaeeebceaafbeecbafafaeecbbabeeeedbdbcdaeeedbabcceeefbbacaeefgbgffgfeeggeggfagefafbbbccefbaccadeefbcbafbcefcaabbgcefcadacfaefcdbaabfefcecbdaaefcgffggcgefdbafadaefegggfdeeefggbgefegegaeacdcaegdabaedaeggdffggecfaabbebdgfaabcgbecfaacbebfdfaacfbgcafaaeaggaafaaedacfcfaafabbdgfaafeecbafaagaadgbfabaabgdffababcecgfabdgbeabfacaceebdfaddcaafdfadgabfbafaededacafafecbaaefbabdabgefbaccbbgdfbacdgeaafbagbeadbfbbgadeabfbbgbbeacfbbgdbadbfbcabfabgfbcgbebabfbdcbddcbfbdebccdafbdfaacaffbdfcbbadfbfacbdaefbfafeaabfbffbaeaafbfgggffcgfbgbfabacfcaagabcffcaagfabcfcabggbaafcbabadgdfcbbcbafefcbbecbcdfccacafaffccbdfbacfcccedcbafccdcbebbfceadbdcbfcgaaacfbfdafcccbbfdbbgadcafdcbacfcbfdceacebafdeddbbabfdggdeffgefeaacccagfeabdbafcfeacabbfdfeagaabdcfebaagbdbfebadaebdfebbfcabcfebcaedcafecedabbbfedgaacbafeebacbccfefbacadbffaabcfcbffaabgaaeffabacafdffbbddadaffbccceaaffdfegfdgfffeaaadaeffefdfffegfgabbbaedfgabccbeafgbcaafbbfgcbaacebfgdabcccafgfdgedegffgfegfdcgffgfgbgeffegaaadcgbdgaabafcedgaabafdbfgaadbecbegabaafdaggabaecddcgabcbcdecgacaacgdcgacbcbdbfgaccagdcagadbdebadgadceeacagaeccaddbgafdbecaagbadddaafgbbadaeaggbbbbdacggbbcbaaeggbccaecccgbccbafaegbcdbabdegbceabbcegbcfbaaaggbdeabcdbgbefbacbbgbgedaabagcabcfbeagcacabccggccbdagbagcccbgaacgceacdeaagcedabbccgcegedgegggcgcccbaagdbaafacegdbbcabedgdcfbadabgdgggfbfdggebgaaccagececadaagedaccccageegfggeaggfabebaaegfafdabbagfaggfgffdgfbaceabcgfbbbbbdcgffdfggfaggfgaggedfggfgffcecggggbacbbdbggegeggafeggfdgggagdggffgefdgbggffggfbdegggfdgdbgfgggffcfgecgggfggfcbeggggebefgdggggfdbgdfaaabddgdgaaabgegebaaacgfdagaabcageefaabcefddeaabggdabfaacebgeafaacffcgacaaddgegaaaadeagbeeaadecbedfaadeddbfdaadgdcgacaaeadgcedaaecfebceaaecfgdbbaaeeabcgfaaeedgafaaaegceagaaafcfdcbeaafcgacdeaafcgaebeaagafeagbaagddgaeaaagfbfcbcaagfffaababaafbfgeabaeccdegabagacdegabagacegdabagfbdddabaggfbdaabbaccgffabbcdefecabbdbbefgabbdddcdgabbegcbfcabcbbggcdabcccfdcfabcebddgcabdcecfebabdcedebeabdddbcdgabdeabggbabdfcadeeabdgcebcdabeadgdbeabedbecgbabfbbcdfeabfcaagdfabfcdcgdaabfdefccaabgabeffaabgaeccdeacaagfgadacaceeeceacaecfgadacbfdcadgacccaggdbaccfafdcdaccgafcdcacdaagddfacdebgbcdacdefcceaacdfafcafacedbbebgaceggaaaeacfafaceeacfagbgcaacfeaaefcacffcbcbeacgaafcgbacgbccfeaacgcecbbeacgfdbfaaacgfebbbcadaebeaffadafagedbadafbfdbeadbacggbdadbadegdcadbafdbgdadbafgbagadbbfdcdeadbfbdadgadcbceegaadcddeafcadcedbcfcadcegcfaaaddbebebfaddfagbeaadeabbefeadebcaddgadebeaceeadfcagdadadfccccceadfdcdabfadgaaecfcadgcddaafadgdceccaadgecbafbadgfaebbcaeaabgcfeaeabgddfaaebbcdfbfaebcafaegaebggacadaecadbcffaecccgagaaeceaefbcaeceaffbbaedadafcfaedbegbcbaedcaeccfaeebedcaeaeecbebgaaegadbcecaegdcbceaafaadedcfafabggccaafacbccgeafadagcagafadddgcaafaedcbbgafbaeddgaafbafbbdgafbbffacdafbdbbdcgafbdfaeaeafbefdabdafbfcagcbafbgacfbcafccgaccdafcdbeccdafcefcaaeafdaffcbbafdccbeebaffabacefaffcageaaaffcdfabbafgageabaagaacdegbagaccabgfagaeaebedagaegdcabagafebebbagbagaeafagbbcgecaagcbdbcdeagdbbgafaagebbcbedagecceadbagfgbbcabbaaaggebebaabgfcgbbaaccgfecbaaddebffbaaeefadfbaaegaegbbaaegdbdebaafcefebbabbggacfbabcgcdedbabdafgfbbabdeccgdbabeccdefbabgddfdababggabgbbacbfcdcgbacccdfedbadbbfcefbadcfgafabadeadefcbadedbaffbadedeabgbaedccdedbafedebaebafeebebcbaffdfcabbagbbgafcbagdcfbdbbbaddgccebbaebgcfcbbageffaabbbabfdffbbbbcbfegbbbegbcagbbccagceebbcdbeffabbcecbffbbbdafdfeabbdbdccdgbbddcebdebbdeadefbbbdeaefdbbbdfbacfebbeabdddgbbeabgafebbeaggeaabbeeafaedbbefagadcbbfacgacfbbfbbadegbbfebdbddbbfeebcbdbbfgeaaebbbgcecagabbgcedeabbbgfdbccbbcabdfceebcabffafdbcacefeeabcadccffcbcbeebdecbcbfbbcdgbccccafgcbccccfcfbbcccfbdddbcccgbcgabccedbbgcbcdgbaefabceaedebdbcebadcefbcebaecdfbceccdfcbbcedadeafbcedcfdcabcedecaddbcfbacefcbcfbbagagbcgbaagbfbcgeccbaebcgedaceabdabafffcbdabgffbabdaebfdcdbdaeeaegabdafeaafebdbcbbfgcbdbcbgdafbdbcedcbfbdbddagfabdbeacdfdbdbedeebbbdbgbcafdbdcadgacfbdcbebeddbdcfbdgbabddadaedfbdeaafdfbbdecebbfbbdegadbaebdfcafafbbdfcagdacbdfcdbcfabdffaeaccbdgdbbcdcbeabgcbcfbeaefbebcbebdaagcfbebdbbdcgbebfecbccbecabgeaebecbedbddbeccaefeabecgcdbcbbedgcadcbbeebbedeabeeecbceabeefgababbefccfaadbefdaacdebegaaaecfbegbabadgbegbcdbdbbeggbbcabbfaaefacfbfabaeebgbfadcfcdbbfbabaggcbfbbbeeebbfbcfgbabbfbfcacbfbfcabgbbfbfcbffcbabfccbeebcbfccgbaebbfdbbdeccbfdbecbdcbfdeaafccbfdedcadbbfeddabcdbffaadbedbffeaabecbfgcadafabfgecabdabgaabgafdbgabagbcfbgbdageabbgbebeccbbgbfacdbdbgcbafbcebgcbdgbacbgcdaeeacbgcgbdaadbgdcebafabgdcffaaabgeabaccgbgecdbacdbgffaaeabbggfgfdfgfcaaagddeecaaddfbeecaaeccfcfcaafdecfbcababeggccabaffbgccabcbdfgccabcdccffcabdgecbdcabeacbggcabegbbdecabegdaeccacbcfddecacdcadegcacddadgdcacdfeceacacecfacfcacgccdbecacgdadddcadacegfacadcdbgdccadcdddbfcadgceeabcaededdcbcaeeeafadcafbcefbccafbegeaacafddafdbcafdebgabcaffaadbgcaffcebcbcafgbedbacagccgbbccaggadbaecaggbaacfcbabfagbgcbacdfecdcbadbcgedcbagebbedcbbcaegcecbbcfbccgcbbgacbgdcbbgbeaedcbbgebdaecbcbdffcbcbcbfbaffcbccgbgaccbcdeaagecbcebceagcbcfgabebcbdgcbbgacbebbagbgcbebbdaegcbeccdaeecbecebdfacbedcagbdcbfaacfgbcbfafgadacbfbacbffcbfbaegbccbfdfeacacbgbgaafbcbgdgdbaaccaedcbfdccafegadaccafgdabdccagfagbaccbcaggdaccbcedbfcccbdegbcbccbdgacfbccbfbegabccbfdadbfccbgbbgbccccbfaddecccefaabgcccgaecccccdbeeeacccdeagdacccdegadbbccdfbbbbgcceafdbcdccebadcdfccedaecdcccfgcbbdaccgaabbffccgbadeccccgfdcbabcdabcbgdecdadbfbfccdadeceaecdaedccddcdafaceeccdbadfgbbcdbaeefcbcdbbddbdfcdbceaddecdbcgbddbcdbfbdcebcdcabcfbgcdcbgceaccdcceaecdcdcgcaacfcddecaceccddecadafcdecccddbcdecgaebacdfaddaagcdfbcafcccdfcgadbacdfdacddbcdfgbbeaaceabagadgceadcbaegceadcgccbceaebbaegcebfaaagecebgddbaccedagbbdccedccfadbceebbcdebcefaagaafcefabcbbgcegbafbdacegcadcadcegegeffggcegfaabeacfaadbfagcfabdeabgcfafgabadcfcfbaacfcfdabbbgdcfdcbbecccfeaedcbbcfeafcbdacffbadecacgaadbaegcgabbecfbcgafbaeaecgbaccdcecgbbbdddccgbbcfccbcgbeacecbcgbebgcaacgbedabfacgcbcddcbcgcfabacecgcfabaeccgddddaaccgebebeaacggcbccbadaaaegagddaabbfgecdaacdgfbcdaafbcbegdaagccfeadaagfcaecdabbfccfddabcgcbcfdabdfaegadabdfbedcdabecdcdedabfddcdcdabfegacbdacbcbgeddacbecdbgdacfcdcfadacgabgaedacgacfaedadaaccggdadacdebgdadcefbccdadfbbbcgdadfcdebbdaeadbffbdaecedbbedaecgfabbdaeedabcfdafcbaegbdafgcbadcdagdcfbbbdageebaaedbaadcdegdbaccdcdgdbafaacgfdbafbdcfcdbafdcacgdbbacbgcgdbbaedbdgdbbafegacdbbdgbfacdbbeadgccdbbeeeabedbbeegbbbdbbgfbcbcdbcaecagedbccgabbgdbcdbeccedbcebeebcdbceeagacdbcffeaacdbdaebceedbdddcfcadbdedfcabdbdfbafaedbeaedbagdbefbdcaddbegbbbdcdbfcccecbdbfcegabadbgbbeabfdbgdccabedcabfeedadcaecebagdcaeeadecdcafdccbedcbbcdebfdcbdeacdedccaafcgcdccadgddadcccdagaedccdaecfbdccdbegabdccfddbcbdcdaddafddcdbacededcddcdbbedcddgeabadcebceddadcefbcafadcfebaebcdcfgbdabbdcfgfegggfdcgcbaaeeddaebffbaddagfadacddbaadffcddbaceadgddbecdbcdddbffcbacddceebabeddcgbbbcdddcgfacbadddbeaeccdddbedfaadddfagacaddfbbddbcddgcaccdbddgecbcabdeaadddfbdeacafddcdeacbbgebdeafcafcbdebeccbafdebgababgdecadfccbdeceaeabededfcbeaadeeadadbedefcadfaadeffcabcadfaadbgeadfbbacfdcdfbdbcafcdfcdabdbedfdcbgabbdfddbecbadfecdccabdfgabcbeadfgfgffggbdgabgaaagdgacgbbdadgbbdbccddgcfbacdadgdaccagadgdcagacadgfcaabbeeaadbageeeaafcgbdbeabcfeaddeabdddfdaeabdfcdaeeabfcebfaeacbbcfcfeacbeccbgeacfafafbeacgcfdaaeadagbbcfeadbecadfeadcfaagceaddeacageadeccbbfeaeadcebeeaebfcbafeaebfeadbeaeeaafebeaeeabdddeaeebbcceeaefdcdabeafbbfbebeafcabdedeafdacgbbeafedaaddeagacceccebadfbfadebaedaddeebafdagcbebaffcabeebbacfaefebbagabefebbcedbceebbdaccgdebbfbbeebebdbdfcbcebdfbdbbdebeaaccdgebeebbaedebfcaaddeebgeabaddecaaceageecaedcacfecbaabgfdecbbcgdbcecbdbeebcecbfagaeaecbfbbbdeecbgbbgbaeccabafcgeccefaadceccgaccbdecdeaaecdecdegaabcecdgbfabaeceaddaececefacadcedaabedgbedaafcadfedaagacgbedadaegacedadbagfaedaeeagabedbabcffbedbaddgacedbcfdbdaedbdaagcdedcbbfgaaedceeeabaeddfeadaaedecbccaeedeedccaaedfbcbaecedfbdabfaedfdggfgegedfgedfgggedgagacbaedgcbbcdaeeabcafceeeafcadbdeebbcecdbeebcbcddceebcebcaeeecdeaeabeeceeabcbeeceecbbaeecfagbaaeedccbbfaeeecacaddeefafaccaeefdabcdaefabagafbefaedcabdefafabbddefagaadaeefbadbcecefbbbdfbbefcacbebdefcadddbbefdbbafcbefdbbagcaefddcbbadegabeafcaegacdcbdbegaeaacceegbbdbgaaegbbeaaceegbcbcaecegbdabcbeegcbafaccegcdbcbbcegfdaaabdfaabafebgfaabgafdcfaacccgaffaadgecbbfaafgabbefaagabdcffaagebdbcfabdfbcfafabgebcbcfacgbadcdfadafcbecfadddbadefadeagabdfaeagbbaffaebbabfffbagfebaafbbacccgdfbbbcffcafbbefbeabfbbfaddaefbbgacfcafbcbcfbbefbcdebceafbdaadgccfbdebcbebfbeebbfbafbgbcfaacfcacgbagafcaebagdbfcaedaeeafcafdfcaafcafeaabffcbafgabcfcbcddcaefcddbcfbafcfaabbgcfcfbeadbbfcfgegdggffcgccaafafdaccdbbffdacdcedafdbecaebcfdccbcbagfddbacgbbfdeadddabfdebbaaeefdfdcbcbafdgcabcadfdgdabaaefeabecafbfeacccebcfeadfdabbfebbbddeafeccefaaafedacbcebfedcdadacfeddbdacbffabafceaffaddbbbdffaddcaaeffageaaacffbbbeaebffbgfegeggffcadaebcffebadccaffgacadabffgfaabaaffggfgfceefgaddadbbfgafaaaddfgafadbcafgagbdaabfgccbbbccfgcdbaaaffgeabcaccfggdfgefcggaaaagfdcgaagedadagabbfgcbagabcecadegabeafabfgabfbcccdgabfdcdcagacbaefbdgacbdgbdagacdbdbcegacdfbcbcgacdfbeabgacegcbbagacfacebcgacffbaadgadegaadagaecbdbebgaedbbcdcgafabebbegafcaccfagafcbebbcgagacbafcgbabecbcfgbadbeecbgbadfbebbgbaecbfadgbaegadacgbbaaddcggbbadgadcgbbcacdgbgbbdfbcdagbbebecbcgbcadgaccgbcfcbeabgbcgaebacgbdbbedbcgbdcaaceegbddcccdagbebeaafbgbecadaecgbeccabbfgbeeaagbagbgcabaecgcaabffadgcabfbbecgcadgbcbbgcbbedbdbgcbcfcabdgcbebcceagcbedcaccgcbgbbbbdgccaaddbfgcccbcecbgccdbbcafgcdbddaccgcdebcccagceaaddccgcfafbdaagcfffgfffegdbaacfafgdbaafaedgdbcgcacagdbdadbbegdbdbadafgdcaacedcgdcddccabgddacbgbagddbefaaagdeacacafgdeacgbaagdebdadacgdeeaabccgeaabedccgeacfeabagebebabfagecadcbeagecebadcagedfacbabgeecaacaegefaabbbegfcegggfcggfdaadeabgffaccabbgffcfgegdgggadadcacggadcaacdggafeggdggggcaabfacggegfgceefgggfbfegdggggfdfgfagaaafbgefcaabagfeedaabecegceaacafgaffaacdgcgbdaacfdggbaaacgcdgccaacgdcceeaacgfdebcaadbefccgaadfgagcbaaebdagdgaaececgcdaaefadddfaaegcdfdaaafcdbgagaafdcefbdaafdeaffbaafdfadfcaafdfcedbaagbeddfbaagbfcdecaagfgaecaaaggfdbcaabccgdcgbabcffdcfaabdaafegeabdbacfgfabdcfagfbabddaeaggabddfdbfcabdebfbdfabebgdaeeabecafgfaabeddcbdgabeeedaedabeegaddcabegacaegabegcccceabfbddeddabfbebebgabfccafgcabfcedebdabfdebedcabfedcfadabgbdgaagabgcbgdaeabgdcadcgabgdgcaafabgebdgcaabgfgafaaabggbaagdacaddafgeacaefbbgeacafeddagacbdbdgdeacbecdfecaccacedegaccbcefbgaccdbefddaccdefccdacceabgcgacdabfgfbacdacgfafacdbafeeeacdcgdfcaacdeaecfdacdfbcgeaacdfbfcebacdfdbbfdacdgcdcafacdgdafeaacedcbbegaceefgbbaacegaefacacfbddafeacfcgacfbacfebegbaacgbabegdacgbdbgbdadaegfcbcadafecdagadagaddeeadbdfcadgadbeeebbfadbefbbfdadcacfgdcadccdgecbadcfegabcaddbecfafaddbgedbcaddcdffbbaddddecebadddgcceaadecaagcgadeceaebfadeddbdecadedeadceadeebadgcadfcagebcadffcbecbadgbbfbgaadgcgaaceadgfcaccdadggccabdaeaegeaebaeafccgdbaeafdabffaeafededaaeagbfddbaebdafddeaebfaggabaecbdbgagaeccccafgaeccfgaccaecfbdcgaaedafadfdaedbagdagaedbdebbgaedcebaefaedgbaafeaeecfadebaefbfdaafaefccebfaaefcedbccaegabbdgcaegaedbebaegbbdeccaegbdbadfaegeaacgbafabdfebeafacbfdedafaddaegcafaeafcgbafbabceegafbabgffaafbddcbeeafbgdbccdafcagfebaafcddabdgafcfafbdcafdagadceafdebcadfafeafeccbafebfaacgafeebbcgaaffdfbbbcafgagcbbcagaccegcbagafccbdeagbefbbfaagbfbdebcagbgaeaceagcabgafdagcbfbbgbagceedaccagdbcbbfeagdcabbffagdcdbagcagdfecbacagedadeadagfdbfabcaggaaafbfaggbaacdfaggbaafcdaggccbdadbaaefbfgbbabegfbdcbabgdaecgbabgfgaccbacdfabgfbacdgefbbbaceffaecbacfagbgcbadeafgaebadfaecdfbadffgcabbaeabfgbfbaeaddcgebaeadgbgcbaecfaedebaeffebbcbafegbbbebafgbbagdbagadgbagbagagagbdbagbgdcbdbagfdfbacbbaaggebebbaddfeagbbadgfagbbbaeceefcbbaefadgdbbbcfebdfbbbebcdffbbbfbebdgbbbfdbcdgbbcbedfddbbccdgdbebbcdfdfadbbdebafdfbbdefebdbbbedccccgbbedfacgbbbedgbagbbbeeafdbebbfbeedaebbfcecdebbbfdaefaebbffcbeaebbfgdbbebbbgaddecdbbgceabeebbgdfccbcbbggbeaccbcaafegafbcadbgdgbbcbaebgeebcbbgaegcbcbcfgagabcbffeabebccaegfdabccbfcccgbccdddgdabcceagbbgbccegbfbbbccgcbdbfbccgdbddcbcdadeebfbcdafdfccbcdbbdgagbcdedafbebcdfacgeabcdgdbecbbceeebfbbbceeffaacbcefacdgabcfaccfddbcfeabcdfbcfeagdacbcgagdbdbbdabgbcgdbdacbgbgdbdaebdfecbdafbgdccbdagdceeabdbaedgcdbdbdcdaegbdbeaeecebdbffdcadbdcaddfddbdccfafbebdcdaefdcbdcegeabcbddbgbcfbbddcdadgcbddfebcccbddgbddbcbdebbffdabdfbbcdbgbdfcbfacebdfccbdddbdgacebbfbeaacefbgbeacddecebeaddececbebacebgebebacfdgbbebafeeeabebcgbgacbebdfbbfcbecdbfecbbecdfccbdbecedccdcbedbfacdebedcecadebedeaccgbbedebbfdbbededaeccbeedeacfabeeecbbagbefcbcdfabegbabgbdbegbbgaaebegcacdcdbfacbedfcbfafaagagbfbbdcdfcbfbcebdgabfcaagbeebfcagbdafbfcbeaagebfcbgabfcbfcfafbccbfdbbbecfbfdcaacgebfdgbbaecbfedebcbcbffbaagdcbffdgaaadbffeeadabbffgdbacabfgbcgcaabfgeaabfbbgabggbcabgadaafgcbgadbdcdebgadbgddabgadcdfbcbgaefbbafbgagadaedbgbbaegbdbgbccddebbgbecccafbgcaecfbcbgcagbdccbgccbebgabgcddaeaebgcdedbcbbgdadbgcbbgdaeddadbgddeebabbgeabeafcbgebafbdccaaafddegcaaedbcfgcaagaegfacaageaffbcabcgdbdfcabdacfffcabdgdfbccabfecbeecabffaeddcaccdgfdacacddgbbfcaceaadggcacfafgcbcadageadfcadcacfefcaeadedfccaebccgfbcaeccgddbcaecffbaecaedacfgbcaedecdebcaefafdaecaefgceaacaegbbebecafcdebddcagbffabdcagbgdafacbaegbdagcbbcefbfccbbgagacfcbbgfccbdcbccbagfecbcceeeaecbcddfbbfcbcfcfaeccbdaafbgfcbdagcebecbdgcbeeacbeffbaebcbfdbbffacbfeagbdbcbgbbafedcbgbbgbcdcbgbcdeeacbgbebcgacbgcbeafccbggeaaeaccaadbfffccadcacggccbafffadccbcfccedccbdbgedbccbdcaffdccbebfcceccbfaaffdcccdeacfdcccgdbdeaccdbceedcccddbagfbccdegadbccceceaafeccedacbefcceecgaadccegbbbfbccfabfdcdccfaefacdccfbagecbccfdeafacccffgcbaaccgcacccfccgcdbecbcdaccgbgbcdadcdegacdadefddacdagadcedcdbbdgdeacdbccgcdccdbcecgdacdbcfdeadcdbddbdcfcdbgdbfcacdccdcdddcdccfcabgcdcdfgcaacdcfefacacdcgadbbfcddcbfgbacddebcbedcddgdddaacdeebeabecdefbaafdcdefcfacacdfbcbeafcdgbfcaeaceaccgcebcebacagfdcebbgdcdbcebcbedcecebdadececebdafcagcebfceaafcebgcaddcceccdcdcdcecddbcbfceeabdgcbcefadccdccefcdafaccefcgbcabcegadcecacfaagfcdacfadgdbbccfaeaageccfaebdddccfaebeagbcfcfacbfbcfdbdaadgcfdbebeadcfddccbcdcffbebfaacfgebdcaacgabebbfdcgafcbdcccgagaeccbcgbaabegdcgbaabgcfcgbabfbbgcgbadbdcfcgbdbbadgcgceccccbcgddaacgbcgdgccaaccgebbfabdcgebfadbbcgedaeabdcgedbbagacggbbbacedaaaddfefdaacfcegbdaaedfdcddaafafgdbdaafdcefbdaagabgfcdabafcfeddabcafgfbdabcfdbcgdabdacffedabfbcgfadabfbeecddabfdecafdacbgcdfbdacdaeafgdacdgabcgdacgcebebdaebcgcdcdaebdbdeedaegbcfcadafafcagcdafcbeadfdafdbcedcdafdeecacdagaeaebfdagbbbcefdbacbegagdbacebecgdbacgafgadbafdccbgdbagedcdbdbagfcfbadbbaeagfddbbcfffbadbbdfaeagdbccfbddddbcebecbfdbcfadbfddbdecfafadbdegaagadbdfccedadbeabdfdddbeadeeeadbeageafadbeecbaeedbfbacgdcdbfgcbadcdbgabccdfdbgagadccdbgbbdgcadcaccbfcgdcaedbedddcafcbdfcdcbbdaegddcbeccbeedcbeddagbdccbfafbedccdebbdedccebcddddccedadecdcdagaeafdcdbdfaagdcdcbaefddcdcbeebddcddbaecfdcdfbbeeadcebcafbfdceecadafdcgafafcadcgcaffaaddabffbcdddaccfgcaddacfcagcddadcceddddaebbecfddaebgaagddbbadgddddbbbfgadddbbccgebddbbddedcddbcbagfcddbdaadffddccadfdcddcdagdaddddacbecfdddcbccdeddecfacdbdeaaedcdedeababcggdebeagbbddecaagcbfdecfdbafadedaagdccdedcbcebddeeabbceedeebdabfcdeebeeacbdefdbbdcbdegabfbbcdegdacfaadfaeacaefdfaeaecbedfbaagbeddfbdbedcbdfbeddbdadfcbddabfdfcdabdfbdfdabagdcdfebaacfddfedaagbbdfedcabcddffeffffggdfgaddacbdgaaebefadgabcdbgbdgabgabdddgacgaceadgagdbbaddgbbbcefadgbbbffabdgbdbbbfcdgcabdgcadgdegfgfgfdggcaaafbeaabcfgdceaagccdeceaagcfdbceabafffdaeabbdcbfgeabbfgfabeabcgcaeeeabegacfbeacbffecaeaccgaefaeacecagdceacfcdagbeadadfcddeadbfdbddeadbgcebceadccececeadebdbbgeadecadcfeadgccbebeadgedbbbeaeccaegbeaefceccaeafdccaedeagabbgfaeagbfbdadeagcbbaefebabccedgebacedeafebaebegdaebafgabfbebagdeadcebbccbgbfebbdbbggaebbebdcgbebcdbfcbeebcfcbcecebdaceagdebdaggaadebdbddfdaebdcaaedgebdeccbfbebfaacgafebfadaaegebfeaecbcebgdcdabdecaafafcfecaeabbfgecaebddceecbcebcedecbdcfbdcecbddeaddeccaaeebgeccbecfbceccdcffaaecceabceeecdadecafecdcgbbeaecdgcadcbeceabdefaeceaegcabecebdcgbaeceebbebcecfebbaddecgadafdaecgbeabbeecgfaeacaedabdfecbedaebebceedagccdadedbaeaafgedbafbadgedcabcgdcedcbecacfedcdbfdacedfabcbbgedfebbeabedfgbabadedgbfaadbedgdcaaafeeaafadbgeeabaegcceeabccdcfeeacbfgbaeeaddcgbaeeageafaaeebadfecaeebbdbgbceebeaddcceecaeebaeeecdcdaafeecdcdafaeedadbddceedcdbebbeeeffaabaeefbcbbcdeefgbacbaeegaaadceefaabefbdefaaeafafefacbgacdefbddadbdefcccacgaefeaabgbcefeaccagaefefabbbceffadagaaegabbfbdcegaddeadaegaffcabaegbabagdcegbbfaaagegbdbebadegcaecabeegceaabddegdabcddbegdacbagbegdbeabbdegeadbadceggefdfeggeggegfgfdefaabbffcefaacafgdcfaacfcdagfaaeccfaffabdeeagafabfbfbaffabgbcaeefacabfeddfaccbdecefaccgafadfacdbcfbefacdfcceafacefdccafacfbbedcfacfebbbefacgccfabfadabfbdffadaedcagfadcfeaeafadfaffaafadgcgbaafaeacddfbfaebdbgcbfaecddgaafaeeccgaafaeedagbafaeegacbbfafcfadbcfagacbefafagaceaecfagaddaddfagfdbadafaggbadbbfbaabggbdfbacfgcbbfbadbdceefbadededafbbafafagfbbbdcdbgfbbccaegcfbbcecdaffbbdddccdfbbdgdcbbfbbfaaebgfbbfcadbffbcacdeddfbcbcaggafbcdadfccfbcdcagaefbcedafdafbdcfbaagfbdddadaffbdeecaeafbeaaagcffbebgdaadfbegbbaebfbegebacafbfceaaecfbgcdcdabfbgdecbabfcabcgadefcacefbaefcbabfebefcbagdcccfcbdgfbaafccccaagefccebafccfcdacedeafcdbbgbccfcdbdaebefcdffbbbafcebcgbbbfcebdcbcdfcecbagadfcefafacafcfbcbabgfdabcfeadfdabeadbgfdadacccgfdbbdagdbfdbcbbgbdfdbeaeaddfdcadeceafdecacadefdfbagbacfeaacfdeafeacdbbgbfebacebagfebacgafafebbdaeaffebbdbdbefebdcagacfebeabgacfebfabbcefebgbaceafebgbeabbfecaabegbfedabfbaefedbcdbccfedbcfadafeecbbaddfefdaaafbfegabcdcaffaabdeafffabdafccffaeebeaaffafdcbbbffagcbbadffbaccdafffbgbbbdaffccfdbaaffdbcecabffdcabbddffecaddbafffcbaaafffgdggefgdfgaaadgbcfgbadgcaafgbbcbbddgaaacbgcggaabeegbbgaadbbegcgaadgccbdgaaeddagbgaagdeaeagabbfbefagabcgccdbgabdbabfggabdecdbdgacabgbbggacccbceegadbdbdbfgadcdeeabgadcecbfagadcfdbdagaeagacebgaebdadfbgaedgbbacgaeebcagagaeffadaagaegbbcbcgagabeaecgagcfabdagbaabbfgdgbabcfeeagbacdbdfcgbaecdbecgbbaaedcggbbaddfaegbbcaabgggbbedbccdgbbgdbbdbgbcaceaeegbcbcgcadgbcbdfacdgbcbgagbagbccecbbegbcgaabgbgbdbeaaeegbddbbedbgbdfcbacdgbebbddeagbedbdccbgbfcacbbfgbfcafadbgbfeabaecgbfebceaagcaebagccgcbabgabggcbdafafbgccbaccfdgccfaeabdgcdbdaagcgcdecbaebgceaccgabgcfbedacagcgbgaabbgcgfbbbbagdafcbbfagdbbafeadgdccfdcaagddaagcdagddcdbdcagdecbebcagdfbbaecbgdfbebbacgdgagaabbgeabcbgdagebaadgcbgebcbfaccgebegababgecbbeccbgecccebacgecedabcbgecgaaafagedadabddgefdbcbbagfacdacfagfadfbbbbgfbecacadgfcagcbabgfdaagdaagfdbagbbagfeacbbbdgffdadaabgffeeegfffgfgaadabcggagaaccbggbbccbdbggcaagbcagggegagdggaaaecgcgeaaagggcccaabbcfdggaabfdddfeaacfcfebfaadaadgggaadddagdgaadgecfdbaadgfbfeaaaeecebgdaaeegcbdeaaegagfcbaaegcacegaafaeegebaafaegebeaafbeccegaafdddgaeaafecbeeeaafffbagcaafgceacfaafgebbbgaagcfebecaagdedgbbaagedgaafaagffacecabaeacggfabagadfdgabagafbfgabbcccgegabbefbcegabbfaedgeabbfcbcggabbfdcefdabbfedageabbgecfafabcdfbddgabeagcagfabeccebegabeccgbcgabecgdgacabedbgcgbabedecdgbabededfbdabedgebafabeggabbfabeggdadbabfafcbgeabfbceecfabfbeebgcabfbfgcdbabgbdgfbbabgdbeafeacbbgagdfacccfddedacccgdagdaccfbcfdeacdbcfbffacdbcfgbeaceafedecaceagbddfacebaffedacebagfbfacebccfcgacecbccgfacecbcfcgacedaccfgaceedgaafacffbdcceacgaggadbacgcdafddacgeadecdacgeddcccacggbbaeeadaafdgbgadacdgccgadaeeeaefadagdbcefadbaggddcadbcgdecdadbdgbeceadbeagceeadbfbdffbadbfbfcdeadcafdddfadcbfadffadcdfeebcadcefefabadcfadbgeadcfaddeeaddbcddgdaddcffebbadddafdedaddeafbfdaddedbgeaadeaggbbdadecfeafbadecgdeacadedeedbcadegcbdebadfaagfebadfbdddecadfccfbfbadfeacfcdadffbfdacadgbebfdbadgdbcgdaadgfebcbcaeaacfffdaeacbegbgaeacdfccgaebadfgcdaebaefdcfaebageaefaebceedecaebfbbbfgaebfbegbcaecbcfdedaecgaagecaedaffcbeaeddbaffdaededgcbbaedgdbdaeaeeccedcdaeeddfdbbaeefbceaeaeefdfabcaefcebbfcaefcgbafbaegaageeaaegaeccceaegbeeebaaeggcdaadafaaddcgfafacefbbgafaeaeefcafbbdggacafbdegeabafbdgaaefafbecdfaeafbefdfabafbfecdbdafbfefaccafbgcbbdfafbgcbeafafbggbaafafcbfaefcafcbgbgcbafccgdecaafcdgafdaafcgcdcdbafdbaedfdafdcbebfdafddecgbaafdecefbaafdeecabfaffbcfdbcafffgabbbafgaccdagafgagbaceagabfffacagacfaefcagadfaaffagbacgdgaagbaffacfagbbggabdagbcbecgcagbebeaeeagbeebagcagbfabfagagbfeagacagcdcbgeaagcdccdagagcedgbcaagcfdaeccagdagaeafagdcecafcagdebcedbagdecadgaagdgbaeeaageadbddeageadddfaageeaageaagegedaabagfaadaegagfgacabeaggacfeabaggadcfacaggbdcdadaggbecacdaggceebbabaagedcdfbabbfcgdfbabcebegfbabdfebfebacdfgbfbbacffeccdbacgcbddgbadadefgcbadcdafegbaddbfedebadeccgagbadgabcgfbaeafbegdbaeagffbcbaebgbafgbaecdeefbbaeedgafbbafcfbfebbafedecdcbaffaagcfbafgcdbecbagbebeedbagegbabfbagfadfccbagfgeabbbaggagadcbaggceeabbaggecabebbaecfcefbbbbgbcgfbbbfafcefbbbfbfgbdbbbfcgfbcbbcdcfeagbbcfaafffbbdaebfefbbdbeefafbbdcbfedebbddgebbebbdedbdeebbdfgbfcabbdgcadgcbbebfbfcebbecdfddcbbeeaebgdbbeeafgcbbbeecgacebbeffecacbbfagdbdebbfageeadbbfffdaccbcaafdggbbcabdbfgfbcaddfgeabcafcfbfdbcbcbfcegbcbccegcebcbdgbegabcbeadggbbccfbbfbgbccfceacgbccfegdbabcdbfbdgcbcdcbgdddbcdcgaagebcddeabffbcddfecccbcdffafcbbcdggdbcabceafagagbcecedbbgbcecgeafabceececebbcegcafccbcfeaedbebcfedbbcfbcgccgebabcgebefbabdaabfegebdaadfggabdaafggcbbdafagdgabdbbcdgbgbdbcegabgbdbedefcbbdbegcbbfbdbfdddfabdcabcggdbdcbfdbdfbdccbgfbdbdccefacfbdcfbcgaebdcffgabbbddbeegbbbddcaebffbdddcdbcgbdddcebfcbdddgdcadbdebbddeebdeebbfafbdeeddcbdbdeeebafcbdefcaebebdfbbagbgbdfbdgccbbdfdcbbdfbdfdgabdcbdfgbecbbbdgbafddcbdgbagdccbdgcebbfbbdgcebedabdgceedabbdgdcbbcfbeaccbgfdbeafccegabeaffacbgbebacagffbebacccggbebaddeeebebgcafafbeccgaadgbecgagbbdbecgbefabbecgebdcbbedcbffbcbedcgcecabeebbbcgebeebccffabeedcfdcabefagccbdbefbcfdbcbeffdafbabegaafaeebegacaafgbegacbcgcbegeabddcbfaaccgeebfaagfcfabfacaffgabfacfdfdabfafbbgcdbfbadfccfbfbbgcfadbfbdafdddbfbfbdfdabfbgeaafcbfcacbefebfcbecbcgbfcdeaaefbfcebaagfbfcgbdgaabfdadgacebfdbbeefabfddbcefabfebebcecbfebeeafabfecddcaebfedabgbdbfedgacdabfegbaedabffaagcafbffacdadfbffcfbbbdbfgaaaecgbfgdagbcabfggcaaeabgadddbcfbgbccgaecbgbcdgbeabgbfcaaefbgbfeacafbgcabefebbgcddbeccbgcdebbgabgceeedaabgcgeaadcbgdegbabcbgeabefdabgebceaagbgecaccgbbggcbbbbfcaafccfdfcabbdbfgfcabbgcgfbcabeaedgecabfeeeeacabffdbbgcabgebaegcabgfgcbbcacaebdggcacdbgbgdcacfcfcgacacgfceadcacggcbdccadaeafffcadbfdddecadcdbfdfcadfagcfbcadgbfedacadgcaebgcaeacdcgfcaecgfbbdcaedabdfgcaefdgbcbcaefeabcgcaefebccecaegcccgacaegddafbcafacgbdfcafbdgbcecafcdceeccaffafbeccagafdfadcagcgagaccagebcbfdcagebgfaacagfbcafdcbaagdfcfcbadcfgebcbagaecgdcbagfdddbcbbbfdbgecbbdececfcbcbeegeacbccdffbdcbccgadcgcbcefbafecbeadbdgecbebfagdccbecfbdddcbedcbbegcbedgebcbcbeefbdaecbegedbbccbfeadefacbgdacefbcbgfcdbaecbgfdeabccbggbddbbccafgagdaccbaadgegccbbafgfcccbdgdcfaccbecgccdcccbfdgbccccceeaeeccdbgaccgccdcfceaeccdecfabfccdfadbgccceacgfdacceafdbdecceagagdbccefdadcdccfeafbafccfeceaebccfgbbabgccgbfdafaccgddgbbacdabbgeedcdacdeccgcdacfgbbecdadbccgfcdaebcecgcdafcbdgccdafgdccbcdaggadcccdbbbggcccdbcfcgcbcdbfddabgcdccdfdbdcddfdgaaccddgbfacccdecffacbcdedcaeagcdefbdaagcdegbbddbcdeggbaaccdfabcgfacdfdecaafcdgacacefceabgeeadceaeeebbeceafabfedcebaaedgecebacfbdgcebadcegccebbgccddcebbgfccbcecdebebdcecebdcgacedbefebacedcaagedcedgbagacceecdeacdceefdaaagcefdebaebcegggggffecfaagccdecfabaeecgcfabcdbffcfabfcafecfabgacfdcfadbbgbfcfadecadfcfadfbgaccfaeaffdacfafdccbecfaggabaecfbbcedcecfbbgagbccfbdfacagcfbeeaacgcfcabcdfecfcccbgcccfcdbddafcfcfccacecfcgdafabcfdcgaecacfdcgfbaacfdebbbedcfeadecaecfeaebbfccfegabccccffbgaeabcfgabcdbecfgdddaaccgaaebgcdcgaecbbcgcgafdaeaecgbafbaefcgbddabdfcgbeebccccgbffaaafcgbgabfdacgccegabbcgceccecacgcedecabcgcgaadcdcgdcddabecgdfaaacgcgeaaeagccgeccbbbfcgfbbfeaacgfccadaecggbbecacdaaabgggcdaaacggdedaacefbefdaadagfdedaafgcfcbdabbfgbcfdabdecdeedabdgfacedabeacfdgdacagfcecdacdecfebdaceegdacdacefbedcdacgcadfddadaegcgadadceacegdadebfcecdadfbebbgdadfbecbfdaeabgdgbdaebdccfedaebdggabdaeegbdaddafbaeegbdafbgeafadaffabdbgdagaeabffdagbdeddbdagceadbfdagdaeccedagdcfbdbdagfaadgbdagfcfacbdagffbdabdbabecgfcdbacbdgdfdbacfdecedbadeegcbdbagafcgbdbbadgfebdbbbegcecdbbcfaaggdbbddbdfedbbfbedecdbbfggcaadbbgfcbebdbcaddfdedbcaebffddbcaedgcddbcafccefdbcagcefbdbcegcafbdbcfbgdcbdbcfeceaddbcffbdbddbcgcaebfdbcgegcaadbdagcceddbdcdebfcdbeaedaefdbeagabfedbebbaeffdbeccaaggdbeccdceddbefcaadgdbegbddaddbfaccfagdbfadcccgdbfaeaegbdbfceccfadbgacfcafdcabfffdadcaebefafdcaedbfagdcagaafdfdcbagebfcdcbdgfcacdcbebeccfdcbgcdfbbdccadcdfedccafcfbedccafefaddcdadgeaddcdffbacddcdgecbcbdcdgedbacdceadcbdgdcebadcefdceecadcedcefadfacdceggbbbadcfaabegddcfagfbacdcfccbfdbdcffbfbacdcgadbecddcgbfcadcdcgcadgbbdcgcbeaecdcgecbecaddaafbdgdddbcdgbfaddbceabegddbdefdbbddbeagcbeddbgecbeaddcacfeebddcdebdbeddcfefbbaddcgdcbeadddaccgcdddeadcfccddfaecbecddfafebbcddfagcbdbddfdabdceddfdceaaeddgadadcedeadcbddfdeadeccbfdebbbbffddebdfgbbadecafddaedecbbgbfbdeccdaaegdecegdbbadecgagcbadedagddbbdedgaaagcdeeccaeebdeedaaecedeeedcdbadefbaeccddefcbdcdbdfaadfgacdfabfdecbdfacbcfdddfacbgeaddfadabegcdfadadfbedfafbgccadfagcbaeddfbccdadfdfbebbgcbdfcbegcbadfcgabbdddfdbaabgfdfddaadeddfeadcdaedfedcacfadffaaccgbdffabadbgdffabeaecdfgcaadfadfgeadbcadfgggfgcfgdgabbfeccdgaceedbbdgacgafacdgaddcafcdgaedgacadgbdbbbgcdgbeaecaedgcbfccdadgccfaebbdgcdfbaeadgeagdbabeaacddbfgeaadadgdfeaafadcgeeaaffdbgaeababefgdeabbgbfgaeabgceagbeacbafgfbeaceadfeceacebbdfeeacedagbeeacgbagebeacgeddaceadbagdgbeadccefbdeadfcadfceadfdbfbceadfddaageaeaafeedeaebadgceeaedceddbeaegadfaceafbecceceafcccafeeagbgcaebeagfbfacbeaggcabebebaabddggebaecccdgebafccefbebafefafaebaffdfabebbbadgfdebbfafafdebbfdbfbdebcaddcefebcaecedeebcafecbfebccdgeacebcdbedceebcdedddbebcgceaebebdbcdbgdebdcaffeaebdcfaebeebddbfgabebebacgecebebgeeaaebecaebdfebecaefbdebedbbefbebededbccebefccbbeebfaaeffaebfbgacebebfdecdbbebffbcebbebgacbddeebgacgabeebgdacbgbecaagaedfecadbgbdeecafcfcaeecafddbfbecbaaeefeecbbdbeeeecbcfgbbcecbecefcaecbgafafbeccbcgcebeccbfafcdeccgabbdfecdbeafcdecdddcbececdefbbccecdfecaeaecedaccbgeceebebdbecfagabceecfddbbbeecgabgafaecgaebcbeedabbfeceedadfadgaedaeeaafeedafceaceedafeddbbedbafcfaeedbafgacdedbbaegbeedbbbdcfeedbbbefafedbdcfgaaedccfaedbedcfcacagedcgabeaeeddbbccfdedddgcabceddfaecbceddfeaacdedeaddbagedebabfddedebeaadfededdcbccedefeaccaedfabdcceedfccbafcedgfaaccceeabedbedeeacdfcbdeeafddafaeebafdaedeebccddafeebcfebcbeebfafcadeebffdacaeecccaeageeccfcdbbeecdfacdbeedabfagbeedbbgdaceedbccedbeedbgbccbeedfebabceeegafbaaeefaebbcdeefbfbbbceefcdacaeeegadaedaefaaeeddbefabcdagdefabgacecefaddadgaefadeagacefaebaageefaebccceefafccaecefbabfaeeefbbaabggefbcbdadfefdbedaccefdcacedbefdcbcafcefeabcddceffaecbdaeffbadbafefgaaeccbegaadadeeegacbgbeaegbbebdccegbccacdeegcafadbdegcbfdabcegcbgbbadegcedcacbegcfcaacdegdfdadaaegebbfcabegecfaadafaabfdebffaabgaffcfaacagbgefaadgccgafaadgdebcfaaedgacefabbefaeefabecfcbefabfcagebfacccaggbfacceagdcfacdcbecffadgacgbbfaeccadeefaeccgaebfaedgaaddfafabecedfafagcceafafbfadcdfaffedaacfagaaaggbfagacagbefagadcddcfagdfaafafbbagebgafbbcefafbfbbddgaebfbbeabggafbbfebagbfbcbfaebffbccceedbfbceagdcbfbdacgdccfbdeegbaafbdgaeafafbebeedacfbecedbccfbedebacefbfbeeaeafbgcbadgafbgdbdacdfbgedbeaafcaabfagffcaaddcdgfcaagccfcfcabdbdfefcabdeedcfcacegabefcacfacfdfcafeaeccfcagedaeafcbbbecgcfcbdcadcgfcbdcfcbdfcbefcdacfccbecacgfccdaadeffcdbbafgbfcdbbccdffcdcgeabbfcddgadcafceafbbagfcfdfbadafcgabbefafdaafdfadfdacddcagfdaeadgadfdaecaceefdafcdfabfdbaecbeefdbbdbgbdfdbbdgbaefdbcbdgcbfdbcfcaagfdbebadcffddbabffbfdfaecaebfdfccbaddfdgacbebcfdgbacaedfeaacgcdcfeacebdbefeaedbbagfeaeecfaafeafecbcbfebbdgdabfebgacaagfebgcbadcfecacdbgbfeddacfbbfeeabgbcbfegabbbfbfegbabccdffabdbagdffacaebdeffacdebccffafabacgffbcgdbbaffbdbacedffbffbbbaffeaabbgcffeacfcbafgaafgbbafgafaaebdfgagbbdacfgbaacfbefgbcdbddafgccdbbaefgdbagbcafgdccacaefgfbaagabfggffefeeggaaafabgggaaaffgcagaacecfebgaagabcfegabcbbgedgabdcdgbcgabdeadgbgabfgacaegacaagefbgacbbeefbgacbefbafgadafbfdbgadeccgabgaeebaebegafabfebcgafadfbaegafddaccdgagdccdbbgaggbaadcgbadadddfgbadfcabggbaeabedfgbaeecccdgbafafddbgbbaddagegbbcaccgegbbccdbeegbcacccdggbcbbcedegbccaddcfgbcedabbggbceegbaagbcgacdaegbdcbbeecgbebaeacggbebdfdabgbebfcccbgbeeaabdfgbfbaafecgbfbdccbdgbfdbcagagbfdbccdbgbgbacdbegbgbaecaegcafbbcedgcbacfbgbgcbadgfabgccadecfagccaeagdbgcccbbgeagcdaedecagcdbceddagcdbecabfgcfcaeebagcgdabecagdadebdaegdaecaeebgdbabbegcgdbagcbbegdbbfbgbagdbdbcedbgdbeaefbagdbfaedbbgdcebfdaagdddafadbgdeadbgabgdebbcgbagdebdabecgdecbagbbgdedacgaagdefdcaabgdfcdbcacgdfdaabgagdgababfcgdgceacabgdgfffgffegeaacfecbgeafddbcagebcccdeagedaaecdcgedafbdbbgeeaeebbageebeadacgefabbbgagfaadfeabgfadeaebbgfbacdbgagfbcaeeacgfcabcbfcgfcbbbcfbgfdddbbcagfedbdaacgfefcaaacgfgbbbaaeggaadagadggaeccaeaggbbfacbcggbcadcccggbgdacaaggcbdccacggcccaaagggdbccbcbggebacebaggeeffgdfggggeababagggeffgefdaaacedffgaaaedgdgdaabfebfdgaabfgcefcaacbffegcaacbgbefgaacdeffddaacgebggaaadbfagffaadbgdcffaaebgffccaaegdcgccaafcdefbfaafdbfgbeaafdgecbeaaffdbgbeaafffefabaagcdbfcgaagdfcbcgaageebaegabbdegegaabbfcfgfaabbfgagecabbfgddagabbfgefdaabbgbdbggabcbfgeecabccggbcfabcfadggcabcgdcfgaabdcfdgcdabdedeeddabdfcffeaabebfedcfabebggebcabecgdcgbabeggcfbaabfdbaefgabfdccgecabffdfecaabffedbbfabgacgbgdabgagecgaabgbfeaeeabgcfagafabgdgccafabgdgfcacabgfceaedacaddfgddacbafegfcacbbfgcdfacbbggefaacbcffddeacbdfcdefacbgfagafaccddfceeacdgbfbdeacebfffbcaceebebfeaceffbcgaacfdbcegcacfdbdfceacfgcffaaacgbddcfdacgefdcadacggabeceadabcggdeadacfedgcadagcfefaadagdgddbadageefdaadbcbcgegadbcbeggcadbfedebeadbgcadgeadcbgcfecadcegeabfadeafgbceadebecdgcadedecfccadfbegcccadfcbdbffadfcfbgadadfdedbecadffdagcbadgabfgdbadgbbbgedadgbbfcfcadgbecgadadgeeadafadgfedbdaaeaabegffaeabegeagaeabegegaaebbgedagaebfbffccaecdfgcdaaeddgagdaaedeecdafaeeabffgaaeeaebeeeaefaeceddaefddaaegaeffaecebaegcbffcaafaagggbbafaceefafafafdfcdcafbfadbffafcbbgageafcbccdffafcefcdccafcfgbdbcafcgecaecafdebfafcafdgcbcagafeafcdagafedeecadafefbeecaafefcabfdafefcdaceaffdaccdfafgaaegccafgebcdaeafgebdcbdafgedbbfaafgfgadaaagaagdebfagabfedagagabgfbddagaceebgcagaebdcefagbdebageagbfcfdbcagcbbeebgagcdceacgagcdcfdaeagcegeaadagceggaabagcgaddcdagdcagfcbagdfaacefageacfedbagfebcadeaggaadeagaggacdeeaaggbdefaaaggdfcacbagggcaebabaaefeegbbaafcbgffbabdcddggbabfdbcggbaccgdfbfbacgbgagdbacgcdbffbadcedcffbadedbdegbadfaecgebaeagafgdbaebegdcebaebgdagebaecggcaebaeddfdgabaeededcebaegfbcbfbafbecgddbafbfeeafbafebbfgcbafffabgcbafgdbaefbagbdccegbagcedeafbagcegacebagdceeebbagdeabegbagfbbbgebaggdebccbbaafeeegbbabbfggebbafdgefabbbagfdgcbbbbdedgfbbbcddgcgbbdaeeddgbbdaeedgdbbdcgececbbdedfcgabbdefbfafbbebffcbfbbedfbagebbedffdcbbbedgfcbcbbegcbdfcbbfaadfgebbfbcddefbbfbcfeddbbfdbgbbgbbfeggcaabbfgcabefbbgabdgbgbbgdcgabfbcabefcegbcaegfecbbcbbgegdbbcbeafgecbcbgddafebccbgedcebccddedbgbcceabefgbccefdbdebccegcfcbbcdafedfcbcdagacgfbcdcegbddbcdcfaecgbcdddagbgbcdddcfagbcddgbfeabcdefbgcbbcdfbfadfbcdfcfbfbbcdgbbbgebcebdcdgdbceedagdcbcegaeafdbcegbdebdbcfgagbdbbcgbfccgabcgdcgbbdbcgeagcccbcgeedfaabdadeeebfbdaeaffcfbdaeebgagbdafbcfgcbdagbgacgbdagdbdcgbdbcfagfcbdbebedgcbdbgfcecbbdcagfgbbbdcccgdagbdcccgefabdcefcfadbddegcabfbddfefcacbddgdcfacbdeabbefgbdebagfafbdecccbffbdecgcbgabdfbgfaeabdfdgaafcbdfebecdcbdgabfdagbdgcgaedabdgdgafabbdgecbaeebdgeebacebeabcgcefbeacgcdcfbeadedefbbebbddedfbebcadgeebebcdfcgbbecaagfedbecafddgbbecccfbcgbecfbcdfcbedcfdaedbedeceddbbeeegacbdbeeffaaecbefaebecebefdafecbbefdfaecbbefecbddcbegbfbcebbegdeaacfbegdfbebabegfbaedbbfaegebaebfafebfbdbfaffbcagbfbegaebdbfbfbaggabfbfgccadbfcbebfbfbfcgdfcabbfdacgeeabfdcagdafbfdgceeaabfeaeddcdbfeafccddbfebagcddbfegcfaacbffdfcccabfgbbccedbgaebfacgbgaeffcbbbgaegfabcbgagecabfbgagfddabbgbafbafgbgbdggbabbgbfcdbbfbgbfdcbcebgcbeafbfbgcbebegabgcgdbceabgdbececcbgdcgbacebgdebcebdbgdeeeaadbgecbcfaebgecccadfbgedcccdcbgedcdbafbgfdaeeacbgfecaabgbggbaeedabggddabfacaaffgcdccabegaefdcabfbdgdecacaafffgcacbfeefccacbggfcbcaceddbegcacegdbcfcadadefdfcadaggedbcaddcfdcfcaddgdfadcadfbgbdecaecbdfeecafbfddbfcafcdfadfcafcecdfccafdgbfbccafgcdadecagddbgaecagebggaacageebdbecaggaeadecbacefafgcbacggbdecbafcddgdcbbdcegagcbbdgcfbecbbeeecgbcbbefdefacbbgafffacbcafdegccbccbeedgcbcfegbbdcbcffcgcacbcgbdeeccbcgdcbfdcbdacedegcbdaebdfgcbdbedgebcbdbgcgcccbddbcbggcbdegcfaccbeeceadfcbefbgfbacbefddcfacbfafadfecbfbbfccgcbfcfaeeccbfdfacdecbfebcbdgcbgaecceecbgbdcfcdcbgcbeccfccaccfedfccacfbfgcccadecfgbccadgadefccaedcdfeccaeecedeccafgdagbccbabgeefccbdgdgcaccbfbcfbgccbfbgbbgccbggbbbfcccbecgagccccefcgacccddfebdccdabffgbccdbagdeeccdcfcgadccdfbecagccecacdffcceefebdaccegebeacccfabccfgccfcfadecccfdfddcaccfedbafdccgafgbadccgagcabgccgbadgebccgbbcebgccgdcbcedccgfgbacbcdaebgcgbcdafcdccgcdaggadcdcdbcdgbdecdbcffdbdcdbegbbdecdbfabgcfcdcadaggdcdcagacegcdcccegcccdcebaffdcdcecbgcdcdcgbfdadcdcggaecacddbcfagdcddbdddcfcddcdgbcdcddgbcfbccdeacgdbecdeadfcfbcdeaecdedcdedgadcccdegafbcccdfaecdddcdfbcdeebcdfbcfbagcdfbfbcfbcdfdafebccdfecbcbfcdgaadafgcdgbgafcacdgfcaagbceadcgagcceafdedbdceagcbgdbceageeccbcebefbcgacebgdagdacebgddcdbcebgdedbbcecafgeaccecbdgfbbcecdegbdacecdgcagacecgcfbadcedaafgfacedagaeddcedbbcegccedbeeddbcedddbecdceecfbbfbceefbdbdcceegbddcacefbacddfcefcbbgdbcefdebcdbcefdfdaadcefdgacdacefecabfccegccbfbccegccgaadcegdacedbcegfdaafacfabdffdbcfabffeadcfafacdfdcfcafbececfcafebfbcfcbgbeeacfcdgbceacfdbcedcdcfddfccadcfeafbeeacfegdbaaecffadaececffccccebcfgaafdcccfgbcgdaacfgdddabccgaafcefbcgacfdagbcgbadadffcgbcegdabcgbdagfcacgbgbbcgacgcedfbbbcgdeadcfacgeebgacacgeebgcaacgfaagabfdaabgbeffdaaddcgcgdaaebgfecdaageaegcdabbedegddacagageedacbgdbdgdacgadbffdadbfbbgfdadbgdgbcdadcedbdgdaegfaddbdafbgddccdafcdfdaedafebdbgcdaffdbdebdaffeccbddagbfaegadageedcaddagfacdcedaggaadfcdbaaeafggdbadgafbgdbaebecgedbaedeeagdbagdgdbcdbbacggbfdbbaddcggdbbfebagedbbgfbfbcdbcbdbdgfdbcbfbefddbcccefagdbcegcbecdbcfefaebdbdabgfbfdbdbcagfedbdbfeadfdbdcbdeeedbdfacfdddbdgcadeddbeaadfdgdbedbcdeedbededcafdbefbdcdddbefcfeabdbfagcaeedbfbagbgcdbfceebafdbffbeabfdbgagcacfdbgbebbeedbgdcbadgdcabeefcedcacdbffedcafadaggdcagfcdaedcbcgcfaedcbdaebgfdcbedaffcdcbfcfdbddcbfefbdbdccbaddfgdccddbcgddccgbdcagdccgeafdadcdbffcdbdcddeeagadcddgcecadcdgcaeebdceacfgaddceadcebgdceadddbgdcebcdbdgdcebdffcadcedafafddcegbecdadcegdbbcddcfbacgfbdcgcdbebdddabbgcefddadbgfbdddaedcaffddafdefcaddbadfccgddbaffbcfddbbgfdcbddbcecddeddbeacdefddbedfdcbddbeefdbbddcbgbgdaddccgebccddcdagfadddcdgbcdcdddadcgcddddbedebdddeaagaefddecbagecddeccfcbdddefbebdbddfaebeafddfbddedaddfbgcccbddfecbedaddgbadecdddgbaffacddgbeabgbdeaacgdbgdeaagfacfdeabdefebdeacbgfaedeadcaedgdeaeagbbgdebaddgfadebaegfbbdebafecfbdebfcdcbedecbadefddecbddeafdeccaddcgdeccbdgeadecccbgafdedagccbededdeabdededdfdaccdedfbbcbfdeeadbbefdefaadagedefafcbdcdefbfbafbdefcadccedefebbbgadfacfgaaedfafbagfadfafbcgbcdfbdaafcgdfbdcbfcddfbecbfeadfbeddbebdfbegfabadfbffbabedfbgbeadcdfccadfebdfceadebddfcfbdfabdfcfdagbadfcfdbcdbdfdbadegadfdbdeaecdfdbdgccadfdedaadedfdfdbdcadfdgeaabddfedebbdbdfefbbbfadffacdebcdffcadeaddfgaagcdadfgaebbfadfgdbcdcadgaabfeagdgaagdcbedgabgbcgadgacabefedgadacegbdgadagcafdgaeafbgadgbbefcbcdgcebgacbdgcfbbbecdgdaffbacdgddeaaagdgdebgaacdgdgcadcadgeaeebdadgeaegbabdgeafgbaadgebcagaddgecagdbadgeeafbbbdgfafaebbdgfcbccbddgfgbaccadggadbfbaeaaggdaceeabegcbedeabgccgeaeabgcegcaeacbeccegeaccbcfgdeacdfaebgeacfcgfbaeadagfeadeadbaafggeadbbeeeeeadddecfbeadgceaddeaebccfdeeaebfdeeaeaeeccbeeeaefdfaaeeafadcafgeafdeaadgeagabbcgfeagefdbbbebadecdcgebaebbgfdebafcedceebafcefeaebaggbcdcebbaecbggebbafgbcfebbfafdgaebcabcfgeebcadggcbebcbfbebgebccfegbaebcdfcbbgebcebafeeebcedeaedebdadfeafebddcceddebddeadbgebdececfaebeaecceeebeaffcdbebeeacageebfagedacebfbgbecbebfdfcaebebgbedagaebgdebfbaebgdfaagaebgdfaeacebgfcaaedecabgffbbecacgedbdecaeccgbeecafebafeecagcgbaeecbfcbdgbeccdadebgeccfaebedeccfagaageccfbgadceccfdddbceccfeaddcecdbfadedecdbgbdbeecdcfgcbaecddgcdbbecdeaaffcecdecedbcecefceaeaecfbbedfaecfbbgbbeecfdabcgcecfddaeeaecfdecbaeecfeaadcfecgdcbagbecggdaaeaedadcbfbgedafcbdbgedafedaagedbddfbbeedbdeeeacedbfdcbecedcaeagbfedcdfecbbedcefbgaaeddbdbcfdeddcaedbfeddcceaededdcdebcdeddcfbagbedebeagcbededeagabedeedbfbaedffcadadedffdaacdeeafacccgeebadacgfeebeacdfceecbebfaeeecgagbcaeedaagedbeedadbfdceedbcfbebeedccgbdaeedcfaadeeeddgbadbeedecgaaceeeaaadffeeeaegadaeeebdbbdeeeefbabceeeegaeabceegdccaeaefaabfaegefabgbgcaefadecaedefbbcecceefbgbcafbefbgcgaabefcdcccdcefcecdeabefcfcddabefdbcaegaefdcdgbabefddbccfaefdeeaccbefeaadfbdeffacdecaeffdabbecefgbddbcaegacbfgabegaeegabaegbabfcceegbbbfgabegbbebfdaegbbfbfacegbedeaadegcaefbadegcbacfdcegcdabfdbegcedcabdegdegbbaaegeaacbeeegfdaebacfaacdafgefaacfdbgdfaaebbfdgfaaecagcgfabcdgaeefabcgfbcdfabfbefaefacaffbgbfaccafgaffacdaegcdfacddedbefacfabffcfadbbfccgfaddagdcdfaeabfeddfaeageagafaebccfcefaefafddafaefcaccffaefcccfafaefegaabfaegaeaecfafafdabgfafcbgfabfafebgdbafbaadggbdfbabfeeebfbacgagcdfbadgcadffbafcabfgfbafdaceffbagefbcbfbbaefgcbfbbbadegefbbbecfbffbbeagdaffbbgbbegafbcfebeadfbcgdfcbafbdacdebgfbdbecbfdfbdccgfabfbddcdaeefbdfgbcacfbdgaccddfbeaccdeefbeafebfafbefaadedfbegcccdafbfadbfaffbfagedbafbfbeafeafbfeabdecfbfegbcbafbgbfcbaefbgcbfafafbgfcacaefcacafeedfcacbfdgbfcaebgfacfcaeeafcdfcafcbgaefcaffadcdfcagdcaedfcaggeabbfcbdbffcbfcbfccfcbfcbgbfacdfccadcfddfccagagaefccbbededfccdcebfbfccdddebcfcddfbdadfcdfbgbbbfceccacdffceccgbcbfcececagafcecfdeaafcecgfaabfceeadfbbfceffabcbfcegcabfafcfacfbaffcfbcabeffcfdcbadefcfdfdabbfcgceceaafdaabdgcffdaadbdgefdaaffecbfdaagdadffdaegaagbfdaegdaeafdafgaeacfdbabcegdfdbdgdadbfdbfafecafdbfcbddcfdbgacgbbfdbgcbcdcfdcaceagdfdcgbccbdfddacfdbdfddaeeaddfddbeddcbfddcbbbfefdebadcfcfdecdeadbfdedcccccfdedfbaccfdffabddafdgebbbaefeaadggbafeacfdcccfeadbdecdfeafgeabafebadbfagfebafedcbfebbbgdeafecbaffdafecbgcdacfecccaagefedafafdafedbgaacefeddbafccfeeddbadcfeefaeabcfefbbfbbcfefbddbcbfefcaafccfefgdgfggffegbagcabffaeccbagffafbeccbffagabafdffagdaaagffbaecadfffbbebadfffbcbebceffbeaddccffbebdceaffdeafbbbfffaaeaecfffcdbbadffgbbeacbfgabdeebbfgaceaeaefgagdcadafgbacacgdfgbdbecdafgcaabfddfgcebfaacfgcgbacbcfgdaagebafgdabaefbfgdcaedcafgdccadccfgfababbgfgfabcfabfgfaccbeafgfaccfaagaaaacfgggaaagagbggabafdeaggabcbeddfgacbbfbefgacbgbcedgacccfgacgaccgbedbgacddagfagaddcafecgadgagccagaeadgdadgaebedgabgaedagcaegaefdcbeagafdgacbcgafeeacdbgbaaebcgfgbabcedcggbabdfdecgbbdbcagfgbbdcfcebgbcbbgdebgbccfeebagbeaecgacgbedgbccagbeebceadgbegbbcbdgbfabfdeagbfaeacfcgbfbecbdcgbfbgaeacgcabbgeebgcbaedadggcbfaedbdgcbgeeacagccagdebbgcccegdaagccdbagfagccecbeaegccfdbebbgcdbbcfdcgceagbgaagceeadebbgceeeadacgcfbaffbagcfccafadgcfcebacdgcfebdcacgcffcbaaegcgbacgacgcgdbbceagdaeefabcgdagdedaagdbbfgbacgdbdbcagdgdcaeffaagdcbbadgdgdcfaadcegddabdccfgddadcgacgddcafbafgddcccdeagddcfccacgdddbccfagddeebbbcgdedaddadgdfabeaecgdfagafaagdfcacfcageabggcaageagdabafgebabecgbgebbgdcbbgecabcccggecacccgbgedabaffbgeebeacccgfabacfcegfabcdbedgfadacccfgfagabdaegfbabgaddgfbbbeagbgfbccdbebgfdbfbccagfeaeabcdgfebdadcbgffcbadcbggacadddcggbbdcaddggbcefaabggbebagabggcafafabggcddbeaaaaaeaggegaacefagdgaacffcgagaadceeeefaadcgfddeaadgbggeaaafcfcegcaafdbgfddaafdccffeaagagfdceaagbgfgcaaagdfedfaaageebgebaagfgagbcaaggedbgaabaeadgggabagcggdcabbddgcffabccbfggdabcdgbgcfabceagedgabdacffegabdaedefgabdeacggeabdebggafabdfdcefdabdfefcgaabeafgfcdabeccdeegabfbcgfgaabfbfddgcabfcfbecgabfeeddfbabffcfcddabfgagcecabgcfaggaabgcfgaddabgdbgaefabgebcgbfabgfecdebabgffadceacacgegddacbgbgbdgaccdfeeddaccedffdcaccefdgeaacdaeefdfacdcfbcfgacddfcgcdacdebfedeacdfbggadacdfgebcdaceaggacgacebfefcdacecagddgacecedbegacedddagfacedfbbgeacedgcdddacfafdecfacfgaebdfacgabegedacgbbfcgdacgcffaecacgdfdabgacgeefcadacgegccaeadaaggcdgadafbgbegadagagdeeadbbcggedadbceedfeadbfbcfefadcagdgecadcdfbecgadcffecebaddebggdaadeaffgbcadebddcegadebgdaefadecdbcfgadedgcafdadeebfccfadegfaddcadfbcfdgbadfcfcbfdadffacecfadfgbedeaadgaddgebadgaffdbdadgbdbggaadgdbddfcadgddbcgcaeafeafeeaeaffefdaaebcgddgbaebdbegedaebddgbeeaebffebfbaebfgbcedaebfgcbdeaecbdgbefaecbefbdgaecceffbdaedagfgacaedbdfdbgaeeaefbgcaeebfbddfaeebfcgdbaefaebdefaefeceabgaefeebdbeaeffebbecaefgcabfdaegacgafdaegagagaeafaabgffeafacdgfdcafaceafffafagbdbegafbafedgcafbbggfbbafbdgedccafbfaffafafbfbgcddafbfdgcdbafbffacgcafcedddecafcfgbcebafdcbagfeafdcddaegafddbcbgfafddbegbdafddccgebafebgcfbcafecffadcafedbbgceafeeadebfafeegdcbbaffaacgdfaffafaegbaffdabfbgaffeabfecaffebcebeafffabccgafgdfcdcaafgededbaagaafgdddagabagdgeagacfdeceagaedacfgagaefaefcagafdedafagbfeccgaagbffedacagcbdceeeagddfeeabagdgdfbcaagdggaacdageadddcfageddbafeagfbaebfeagfbcceecagfbfeadcagfcabffcagfeadadfagfecbeeaagfedcdadaggbcgadcaggcbgeabaggecabdeagggbaccdbaabgfdgebaafgefcdbacbefgfcbacdefdeebadafgafgbadddefedbaeeegbddbafcfdgdbbafdfdfaebafdgadeebafgfdddabafggccaebagafeccgbagdgaeecbagedadfebagfcbgdcbbabfegeebbaebbgggbbbbcgfdgbbbbfcggdbbbfdddefbbbfedffbbbbgfdedcbbcgcccffbbdcafgeebbddccffebbdeebefdbbdffacgdbbebgbgcebbedaffedbbfaeeecfbbfaggcafbbfbfcedebbfgcceebbbgbgcadgbbgefabgcbbggbccfcbcabbggfebcabgbgefbcagfddagbcbbgfefbbcccffdgabccfccdfebccgcdgaebcdacfedgbcdbcbfgfbcdeddecebcdeggabdbcefgafbcbcfdebccgbcfeagfadbcfgdbbbgbcfgfaadebcgbfcecdbcggcedcabdafagfgabdaggaagebdaggaddebdbbfddefbdbcbefdgbdbedfcgbbdbfcegaebdbfedfccbdcbeegcdbdcbegadgbdcccgbfebdccedegbbdcddeceebdcefebecbdcegeddabddfdbeagbdebfdgadbdedecbfdbdefadbefbdfccfdebbdfdcfdbdbdfegebbbbdfgaaedebdgcadbffbdggccgaabeacdggbdbeadddddgbeaefdagdbebadcfgebebdbegagbecagfccebecceffcbbecddcfbfbecdeebcfbecgccebebeddagcgbbedfbfddbbedgbbcdfbedgfbfabbeebebgafbeebfgccbbeeeafeccbeefbgfaabeefcdcdcbefafbcfdbefagcafdbefcecbedbegbbaedgbegdafbagbfafdgbfabfbacegbgbfbgfadbebfbgfcfabbfcadddefbfccdgccdbfddgcfbabfegccaecbffddbebdbffegcadabfffabfeabfgabcddfbfgacgbafbfgagaedbbfgbecbcebfgccdbcebgadccaggbgaeeaffbbgafcfbddbgafcfddbbgaffedbbbgafgcgaabgbbcgdddbgbbgcdcebgbccggbbbgbcdfbedbgbedcccfbgbfecabgbgbgeaedbbgcadcggabgcaecbffbgcaedbefbgcdbbcgebgcdceeeabgcgagbaebgdbfbgcbbgdeaeafdbgdeagaagbgedbadfdbgedcaccgbgeeagbaebgeeecbccbgfbddafcbgfcdadecbggdbfcaccabfcggaecabfgbdgccaccffcgccacgcgdfacadbgdffbcadcceefecadfcagdfcadffecdccaebgcdeecaedbgagecaefddgadcafadfdeecafafedcfcafbbgdgccafcbgefbcafeedgaccaffadcfecafgfafdacagbgbegacagceacegcagefccdccagfeaeebcaggbagebcbaefgbgbcbafdagefcbafeebfecbagddfcecbagdfdagcbbdgbgddcbbfgaedecbbgdecedcbcddgfaecbceedcgccbcgbcgagcbcgdaffccbddfaffccbdgdaedecbeebdgfacbeebfedccbeedeccecbeggcbaecbffafbcfcbgabcgcgcbgcbfdagcbgdaeefbcbgddffabcbggfaagaccaeggecaccbdcdedgccbdeaggcccbdfbecgccbdgbfagccbfgbdeccccdgbcdfcccffafdcccdaegebeccdcggaafccdefbdagccdffcbagccdgcedbdcceafdaffcceebddedccfaffeadccfcbeageccfcdgaecccffacaffccffcdgabccgbgfbdaccgdccdbfcdaagaegfcdabcdegfcdacfeegacdadggfabcdafecfcdcdagdecbfcdbbcafggcdbgcgabfcdcddgagbcdcdfagafcddddafdecdeabffddcdefedebacdefgebbacdfagabgdcdfbegeabcdfgcafcbceaaeeedfceafbddgccebbddcgecebfdccfccecdadgecceceagbcfcedccbbgfcedcdcfafceddacaggcedfcagdbcedgagcadcedgbbadgceeaadfgcceeacedcfceeccgbcdcefbebgadcefdeceaccefebbdbfcegacfcafcegafcccdcegddeccaceggbeabccfaaegdddcfabfegdacfafecdafcfafgcebbcfbafdbgdcfbagfdeacfbcaeffccfbddagfbcfbfadbdgcfbgbgebacfcaedfdccfcdcdfbdcfdacgddccfdbbfgdacfdbdaddgcfdbefebbcfdggbadacfebbggabcffddedabcffedddbacgaafbaggcgacgagaecgagbaefccgbafcececgbegedaacgbfceecacgcbbfccfcgcbebfafcgccfeaebcgceeabbgcgdaecgdacgdbccfbecgdcbfcebcgdccfaddcgeaagbcfcgeddcaeccgeddedabcgegbaedacgfbaacgecgfbdaeafcgfbdgdaacgfgccadacggbdfabccggcbgdaacggcfaaebdaabfddfgdabeggdbcdacggedacdacgggcabdadbecgdedadfgaceddaeabcfgfdaeaebegedaefedbagdafcfbceedafcfceafdafdbadfgdafebdbdgdaffaeddddaffddagbdagbeeagcdagdaeebfdagececdcdagfeafcbdbagebdgcdbbdagggadbbebegdddbbfedebedbcaecegedbccbgfcedbccddgecdbcebeafgdbddbafffdbddedceddbdebbfcgdbeadefgadbeafdaffdbebfbafgdbedbeagedbedfedcbdbeeacdefdbeeebdbfdbefbgcaedbefcfbbedbfbdafeedbfbeffacdbfbgebcddbfgbcgbbdbgbgaebedbgcgaadfdbgdfcafbdbgdgbadddbgeaabfgdbgfeadaedbggbbcdddcafffdbcdcbgabfdfdcccgfgaadccdgebdcdccfdfcaedccgbfbfbdcddgadcedcdeacfbgdcdeaeeecdcdfbfdbddcecdcgeadcedfadgadceefccdbdcfcaffaedcfeceacedcfecebcddcgagbcagdcgcbcccgdcgcgcbdbdcgfbbfcbddacecfgbddagcfadeddbbagcgeddbbfgccdddbdfedeaddbfcadfeddbfedfbbddbfffbadddcebdfcdddcegdccbddcfceccdddcfeddbcddcgdadfbddcgeebbcddddbffbcddddfacdeddeaddfcdddebaegfaddfbacedfddfbbfdebddfccbeecddfddcddbddfggaabcddgacbfecddgafecdaddgcffaacdeabecegcdeaccffbedeadccgdddeaeeddbedeagcbcdfdebcaedefdebeecfbcdebgdacgbdecegdaccdecfaegcadecfbccfcdecgcdaecdedbdaffcdedbfbbdfdedcdcbgcdedgcbeaddeeaaefecdeeacgdbddeebagbgbdeecgeadadefbafagcdefeafacddefgaadcddegdaaebfdegeaebccdeggaafbbdfabgbceedfaeedagbdfbafccdfdfbdfcdaedfbgbcdfadfcacgaeedfcbbaeffdfcbcbefddfcbdddbfdfcddaaffdfcdfdbccdfdcffaaddfddbbgdbdfddbcdgadfeacdbgcdfedbedbcdffadgbcbdfgebdcacdgaaagbgedgaadddfddgabadggbdgacagddddgadbfbbgdgaebeaeedgafafcdcdgbacgfdadgbbfagbddgbgbdfabdgcbaccgedgcbbedecdgcdcffaadgcdeacdddgcdfaacfdgdaebbcgdgdaebbfddgdbadecedgdfaccebdgdfbeadbdgebacdbgdgfbbbagddgfbbeacedgfdfeaaadggebbebadggfgaaaaeaacffdcfeaaebffedeaaegggaaeabadgdfeeabadgfdeeabcfbegdeabeegebceaccdfaffeacdeeadgeacedbfbgeaceddbdgeacfaggdaeadacfgddeadccbeegeadgcccfceaebbgbfeeaedageafeaeeaceeeeafbcaeegeafcbgagceafeadfbeeagaagcdfeagadcgbeeaggabbfdeaggagdbaebacbgfbgebaccdgdfebaeefacgebafbgccfebbaceeffebcaegdagebcbedecfebcdcdgafebcdfcdecebcgbgbfaebdafdgaeebdeagfbcebeccfbfcebecdccgcebecefcbdebeeafbdeebfaddcdfebfbeccedebfcgbfcaebfeafcdcebffaafceebgcdfaebebgeabbgdecacgeagcecacgffacecadbfgcdecaffaeagecagccffaecbbdffebecbcefafdecbddbfcfecbefdfcaecbffcbddeccaebeefeccgacgaeecdaafgbfeceagaceeecfbfcddbecfgdbccbecgbacdeeecgcadeafecgceabcfecgdaddbeecgdagdbbecgeebcbcedagedagaedbaaggbfedbacdfeeedbdgdbfaedbffdfaaedbggaaagedcadedbgedcbdaeefedcbeggaaedccdgfbaedcddbgcceddbeegabeddcbagededdgabadgedecagbfbedeeabegaedfcaedfaedfceddbbedgbceddaedgbecdbcedgfafacbeeabedcgceeaecdbgceeagbbdedeebabeaggeebeefcaceebffacdceebgaaebgeebgdfaadeecbeedaeeeccafbeeeecdcafageecddebbeeecdgccdaeecfeebcaeedbafdfbeedbdbeeceeddaagddeeddabdcgeeddcgbdaeedddabcgeeeabadegeeeabadgeeeebdafebeeeebacfceefagddabeefbfcafaeefebgabbeegadcacfefaacgfccefabdfaeeefaebfcafefbcebagdefbdfcbcdefcfcbccdefdabcddfefdeafbbdefeagdcaceffbafbebeffbccbbfefgadgabbefgbebfaaegabbgbedegabdcgbdegabfaaffegaccgebbegaecccceegafacbgcegagabeebegbabedfcegbcegacbegbdaafgbegbeacefaegbebdfbbegbgaedbbegbgfaeaaegcbcabffegccbcgbcegdaeecdaegddaccddegdfgcaaaegebbaddeegeccbbecegfbcbedaegfbdcebaegfdaaeaeegfffaabafaaaggecdfaaddfgaefaaegcdecfaafefcdcfabbaggfcfabdebffcfabeeefadfabgdbddefabgddcecfabgdfddafacadfffbfacaegefafacdbgcedfacddbfgbfacdfacgdfacdgbbcgfaddacgbgfaddgdcccfadgaeddcfadgbcdfbfaebeeeccfaecdedbefaeffbdcbfafbdebbgfafccbebgfafeadfccfagaefaecfbaceaefffbacgdgcbfbadgcecdfbaedefeafbafaebegfbbdgafbefbbedadgdfbbgbdcdefbceafafefbcecaegcfbceefcbcfbdafgbcdfbdeddbecfbdfbfdcbfbdgceccbfbebbdddffbeddefabfbegeecaafbfaagdgafbfagdcaefbfdfacfafbgafbgacfbgdbabfefbgddcaddfcabfbcegfcabfcgebfcacadfeffcafbddgbfcaffaaeffcbaebfgcfcbbadefffcbbfebfcfcbdbddfdfccaebefdfccagebagfccdebfaefccebcdbgfccfabefcfcdaacfeffcdafbdgbfcdcbgccdfcdcdfceafcddcebfbfcddcgaebfcdecfabefcdedbbcffceadgecafceageadcfcebbegcbfcebgaadffcfccdbagfcfcebddbfcffgcbaafcgabbgbefcgaddgbafcgbagebbfdadbdceffdadcgdaefdaeafcfcfdaedgafafdaeeacgcfdagafbgafdbaegbgafdbdebcdefdcadddbgfdcadegcbfdcagcdbefdcbdbafgfdccagfdafdcccdecdfdccgdadcfdceadgcbfddbadfbffddbbbdfefdebbggaafdecdaecdfdeecabcffdeedbceafdeedcdcafdeeeabfafdefaabgcfdefcacaffdfcfbbeafdgacddccfdggcadbafeabcfgcbfeadcbdcgfeaefcbcdfebbfaeagfebcgafbcfebdbfcbefebdffbbbfebfbafbefebgabeebfebgafdacfecbfccaffecdcbecdfecgcccbcfedaagcgafedbdfaaffeebaddfbfeedcacbffefbaeecbfegbaceeafegbafdbbffabaefddffacbcfecffadcbgdbffaedeadcffbafgdbaffbbbbfcfffbcceecbffbdagagaffbeefabbffbgdbcbcffcbagcafffcbbebgbffcdbbdceffcdfbbaeffdafgabbffdcbfadcffdfcbdcaffdfccdbaffdffacabffecccaecfffabddccfffbeaaecffgabgbbbffgadcccbffgbcbdcbffgeabdacffggcaaacfgaacccgdfgabdcdddfgacabcgefgaddfcacfgbadbegafgbagfcabfgbbebfadfgbcabfgafgbdbaceefgbeecccafgbffbbcafgcbcfaebfgcdbabgcfgecfabbcfgedaeadbfgfbaeaebfggbagbbafggbeaabdgaabededfgaacgeacggaaegeaecgabaecfeegabdaecffgabebcfdegacbdgeccgacccfcdegadfgadcbgaeaeececgaebgaecdgaecceeeagaeebgeabgaefecbeagaegbbagcgafaddebegafbbaffdgafbdfbbegafeafecagafebdadegafgdafbagagbbbeedgagdaffabgagdgbbadgaggbdeaagbabdecfegbadgffaagbafgaafdgbbaffcfbgbbdbfdddgbbeadedegbbeecebdgbbfdeddagbcbeccdfgbcfdccebgbdaefbecgbdcdgbaegbdcfagcbgbdeaeeccgbdecebebgbdefecabgbebbagdegbegafaaegbfcbgdcagbfcddfbagbfcgaagagbfdabdbggbfdfbabegbgbdfcacgcabbgdedgcagcbgadgcagcccbfgcbagadeegcbbgeebbgcbdecbgbgcbfcdbecgccaagdedgccbfdcbegcccdadcggccdbfacfgccdbgdcbgccddafdcgcceccgacgccgbdabfgcdbbeccfgcdbgadfagcdebfdacgcdgebbcbgceaacgddgceebgcbagcefadabfgcefdbacdgcegaagcagcfagecbagcfbdfaaegcfdagccagcgadcbfbgcgadedacgcgegabbagdadcdcedgdaeabcgegdbbgbedbgdbcbacfggdbdafagcgdbdgbbcdgdbebcecdgdbfaegbagdceagbaegdcfbdddagddaeebcdgddbcffabgddbddacfgddbfbfcagdfaabcdggdfcfcabcgdgacbfbcgdgeebabbgeacgaedbgeadadeecgebaafefbgebacbfbggebagfdabgebbbdeaggebcgadccgebdcaffagebdeaafdgebfdceabgebffaafageccbdadfgedbaeeeageddfdabbgedfadfaagegbebbadgfaacfdafgfabafdcegfacaebfdgfacceedagfadbfbfagfbaadbffgfbaaeegagfbcbdfadgfbdaadeegfbddccccgfbfcbacegfcbfbbcdgfccfeabbgfcdbcfbbgfecccfaagffccbdbbggaacccdfggabcbdbgggafcdabdggbbdbgacggbccabgcggbeabafdggccacaeeggccacebdggcdaabeeggcgdbacaggdcfacacggeagabcbggefaacdaggfdbebaagggaacbbegggadcbacaaagfgageaabfdfgdeaabggdcfeaadagdggdaadcgeefdaadecedfgaadggdfeaaaeebcgegaafdeefecaagacfdfgaagafdfeeaagbgedfcaagbgeegaaagccfaggaagdcecffaageecfgaaagfdadgeabcddfgcfabcgcffbfabdddfgecabdfdfgccabdgcbeegabecgfcbgabgdbfgfaabgebgbeeabgedcgebacafgffeaacbgdefddacccegfgaaccdfceefaccgcffafacdgdfdebacdgffgaaaceddfdgbacedgdecdaceffaegbacegdfbfbacfbgffadacfcfcgcdacfgcfaedacfgcfbecacgaebdgfacgaegccfacgbgeebdacggddafcacggfacgaadacdgfeeadacfcgefadadcfcggadadegdgcadagbecfgadaggecceadcdbdgdgadcfafdefadcfdbgedadcfgccedadcgbgcfcadddfgbbfaddedgbdeaddgdcgeaadefadfbgadefcdcgcadfagccgdadfbcbegfadfbefbcgadfedddddadfefbbfdadgbcfdbgadgeeaffaadgfgccdaadggabgdcaeabgfcgdaebbbfefgaebfdfcedaebffcgaeaebfgdbedaecacdffgaecaedffeaecccdfefaeccfeddeaecdadfgeaecfaegagaecfbcgcfaecfbfcgcaeddgeebcaeddgfcccaedgdagcdaeedbcgedaeedcegbdaeedefdbdaeeecbcegaefagbddfaefbdgddcaefgdedcaaegagbgeaaegbebgcdaegddcgbcaegdfbcecaegedeaceaegegacbeafaddfbgeafbdgfbagafbecbfgdafcbfgdbeafccafdgeafccfdfafafdadcegeafdccdegcafdeefecaafdfbgcebafdgadcgcafebeagdeafeeebagdafefbfgbaaffccfdbeaffeadceeaffeecaedaffgfceaaafgbdafbgafgdaabggafgdaagfcafgdcccbgafggcddbbagacdgdedagadfgbbfagafeddbfagagfeecaagbfdebedagbffbbcgagbgbbdfeagcbacggeagceccfceagcgdcagcagdbbgbefagdcdddfcagdcebbffagddedcbfageaebgceagebcfdgaagebeacffagedfdbfaagedgdbaeageeaebeeagegbafcdagfaafedeagfbegcadagfcefdacagfdacbegagfdbegacagffbfeabaggcaadgeaggccgaafaggecccafaggedbdaeagggbbbfbbabcfdggdbabfeefgbbacffcefdbaddgefcdbadeaegfebadffdecebaecdeeefbaecggcgabaedfcggabaeeefgdabaeeffadfbaefdcddgbafacgdegbafdccegebafeaggdcbafgeaecfbafgeddcdbafgfgbcbbagadbfgfbagadfdfebagaffcgcbagcddddgbagdcccgfbaggaebgdbbadgfedebbbadgefgbbbbcggefbbbcffdefbbcbedfegbbcedcfdgbbcegcbegbbdcaggeebbdccdggdbbfdccgdebbfgdfacebbgdafcefbbgfacdefbbggdaecebcadggedcbcbdafefgbcbfddedfbcbgdebgdbcceacfgfbccgggabdbcdadgfdebcdaegfcebcdegdcfbbcdfecddebcdgdfedabcebccgefbcebfdddfbceedccgdbcefgaagdbcefggcabbcegddagcbcfbcgbdgbcfbffafdbcfbfffdabcfdgdadebcfegdgaabcffgcagabcfgccfaebcgaecefdbcgcbaefgbcgcecgdbbcgdaegbebcgdcebeebdaadegffbdacgfaffbdaegbecgbdafgcebfbdbcefegbbdbeggacebdccgeeebbdcefgbcdbdcfgaffabdcgbcddgbdcgedafdbddcgaegcbdddbgffabddfefcccbdeadefdebdeedafdebdfacecegbdffbddddbdffeafccbdfgaagecbdfgdadcebdgceeabgbdgfccddcbdgffaagbbeaceaeggbeadcfedfbeadedgbfbeadgccgdbeaedebegbeagcdfbfbebceceefbebedfdagbebedfgdabebfdefeabebfeggaabebgefeacbebgffbbdbecdaegbgbecgggaacbedacdgcgbedbbgffbbedgccgbcbeebgdcgabeeeebccfbefbdebfdbefcbcgfbbefcgdcbdbefdabefebefefbcafbeffccaeebegabfcgcbegagbcgbbegccebbgbegcfaaefbegdeaafebegeegbabbfabgcgbfbfafbgbdfbfagceccfbfaggdbbebfbadddfgbfbaddfdgbfbebbgdfbfbeegceabfbefefcabfbfdfaedbfcdgabgdbfcefcbedbfcefdagbbfcegbeccbfcgfbecbbfdaedgebbfdbedffabfddaedeebfdefbcfbbfdgbafecbfeeffcabbfeffbddabffadfdbebffaeadefbffcfafaebffeaagagbfffaaecfbfgadagddbfgafdbecbfgbdffabbfgfbbdafbgabebdgfbgacefefabgacfgbfbbgadddfbfbgadffcbebgagdbfdcbgageccfbbgaggabcfbgbcfefdabgbdbgadgbgbddbgecbgcagdcedbgcagefadbgccfedaebgcdegcadbgdafcgccbgdbebcdgbgdceaedebgdeabgbfbgdecdbfcbgdeedfabbgdggccabbgeaaecffbgeaagdedbgedcddcdbgefeccdabgfcageadbgfdgecaabgfgceadacaadeeegecaafafgefcaagdebgfcaagffebecabdgcfcgcabefcbggcabfcgbgecabfgfcddcabgcfcefcabgcgaffcacafefdgcacbfeggbcacdfbgeecadbcgfcgcadfcfcgccadggddaecaedccgdfcaeedcbfgcaegcacfgcaegceefacaeggcfbbcafddcedfcafdeffbccaffbdddfcafgebcedcagbfeagdcageegccbcbaceeeffcbacgddffcbadegefccbaffcdgdcbbbggcfdcbbefefcdcbbegcfgacbceggddacbcfgceebcbdbcfgbgcbdedadgfcbdfcdefccbdfecccgcbdfeebfccbdgfgccacbeacdgdgcbecbfgbfcbeefdfadcbeegadfccbegdbgeacbfafacggcbfbbeedgcbfbfcagfcbfccecdgcbfccgbeecbfceeeafcbfcfbbegcbffgccaecbgcebfcecbgecdfbdcbgefdaagccabbfggeccaccdggeccaceggebccaeddggbccaeegdagccagcdecgcccdbgcefccddfdfbdccdebccfgccdfebbdgccdgaedgbccdgbbgddccebffebdccecdbfdfccfbcdedfccfebdaffccfedeeadccfgcbadgccfggebabccgbdcbffccgdbfbedccgfadgdaccgfcfadcccggecbaecdacfgcbgcdadcdgeecdbadcfgfcdbdfdececdbfecdfccdbgcdcfdcdcafeagfcdcecbfdfcdcedafeecddaadgffcddbccgeecdeeabggbcdeffcbfacdegadbeecdfaedbfecdfcfbebecdfdagbbgcdffgaaeccdfgabbfecdgcabdgecdgcfbbdecdgcgbddbcdgeaagfbcdgeddacecdgeebdaecdgfedcbbceacffcedceaebebfgceafgfbaeceafgfcbccebcdcgdecebgadcefcebgccgbdcecceefeacecdcdgcdcecdceefbcecdfagfacecdfcfcccecfaaggccecfabfeecedfagcdccedfcebagceebfafecceecgbgcaceedbfdfaceefaageccefbcdfcdcefdgaecbcegagbcfbcfacbcggdcfacgaedfcfafceeafcfagcagfbcfagcdafecfbefddbdcfbfbbeeecfbgcfcdbcfbgfccdbcfcbeedagcfcbgbefbcfcecdccfcfceddagccfceeafdccfcfbfeadcfdaagcfecfdfbadgccfecdbdfccfeceaeeccfeddcbbgcfedeccafcfefadgcacffbedbcecffdceaddcfgdcgaadcfgefbdabcfgfbcfbacgabafcgfcgadfdaeecgbcagbefcgbfcdadfcgbfdeceacgbffbaedcgcaagcdgcgcagcafecgcdadgebcgcfeaadfcgcgaaedecgdafcgbccgddcccgbcgddeebeacgddefdbacgebadbegcgebbgfbbcgecbeeeacgefcbbeccgefdbbcddaafbfdffdaafggdaedabdbcfggdabddggafdabegbdefdacbbgeffdacfefagcdacfegebcdadffbeagdaeceefbedaefdbbffdaefgdcdbdafcfcgeadafcfgcbddafdaedgddagfcgcaddaggafaeddaggcceccdbadefdeedbbdeegafdbbdefddedbbeagfeddbbecdggbdbbfbdeefdbbfdeccgdbbgcedgbdbcdfcgebdbcdfefccdbcgaeffbdbdcfagcfdbdcgcecedbddebdfedbddedbefdbdecggbbdbdfaegdcdbdgedcbedbdggbfbbdbeeagdfbdbeeeceebdbefaecgcdbefbfedbdbegbgagadbfagfeaddbfcddgeadbfcgedaddbfeadeeddbfegaeeadbgacfgbddbgbecgeadbgcccbffdbgcdffacdbgceaddfdbgcgabdfdcacaffgedcaeddgecdcagbddgddcbbbfeegdcbddbeffdcbdecdefdcbecgbfddcbfgbbgcdccfbgedbdccfcefbddcdcdggbbdcddafgfadceafgebcdcebbagffdcebggcbcdceeeccecdcfbccegcdcfcceefadcfdbdfcddcfdebdgadcffabcdgdcffdedcadcgaeceecdcgafdcagdcgdbabfgdcgdbdccfdcgecccbfdcgfbeacedcgfcbbbgdcggbcfbbddaaebffgddacfegaeddadebfcgddagfdfcaddbgaegdbddccdfdceddccgdgbbddcdfcfdbddceaedcgddcedfbgaddcgdcbbgdddaaceggdddceebdedddecabfgdddgbfbebddegfaaddddfbddeebddfcfdbafddfcfdcaeddfdaebeeddffdfbbbdeadgfdaddeaeebcfedeagaeccgdeagfabdfdebbafgcfdebbddggadebbfdedddebeafbgddebfeeabfdecgbccdededbgbcgbdededbgbcdededddeadeebafbfedeedcacefdeefdbebcdefacbeeedefdbbfbedeffbcecbdeffcbafcdeffecadbdefgacebcdefgadcbddegbcfgaadegfdcbaddegfeadcadfaabgffcdfabegcecdfabfgdccdfadceffadfaebbcfgdfafabdffdfafbaggbdfaffeccbdfbbcaefgdfcbedceddfcbfafbfdfccdeafddfceecbfbdfcgdcafbdfddbfacfdfdgfaebadfebeafebdfecfadcddfecfgcaadfedacecedffcccccedffdceeabdffeebacddffgafadadfgaddfbbdfgaeadbfdfgddcbbddgaabgagfdgaaedecfdgaagcegadgacecgdbdgaebcgdcdgaefbbbgdgbbeddecdgbfadgaddgbfgaacedgcccaefddgceeeaccdgcfbaccgdgdadeagcdgdccfcdbdgeadbdcfdgecfbabfdgeeabfdbdgfdaagdbdgfebabfcdggagacaedggeddbbaeaagadegeeabccbggfeabcfcggbeabebagfgeabgabfffeabgefcebeacfdcgcdeacfdeadgeadbdgebfeadbefdbgeadecfgadeadedeebeeadgadegbeadgfbbgbeaeaebdgfeaebdfgdbeaecddbegeaeddcfbfeaeebgbedeaeeeadgceaefadfgaeaefegbbceaefgceaceafdbedbgeafffcbfaeagbfbdedeagecdbedeagedageaeagfcfcadebaddddffebaefdaffebaegcageebbdeeaffebbggefaaebcdebefdebcebgafeebcgdebceebdedcfebebdfbfcecebebbgdfcebebgdfcbebedddcbgebefddcdcebefdfbbdebfdbbfbgebfdcdeafebfddcgdaebfdfbagcebfeegbacebgdbcbfeebgeaceecebgebccdeebgfccccdecaaccgfgecaagdgececabebfffecaebgeagecaegacefecafddeececagfafbeecbacfgcfecbaedfcgecbcagcegecbcaggececbcgaecgecbdfbgafecbeefacfeccbcgeceecccbggeaeccegbfdaeccfccefbeccfcgagaecdabefdfecdbbdfgcecdbfeddcecdcfefacecddccfbfecdeedccdecdeffbcbecebbgcfcecebfabffececfadfcecfbcaefeecfdeaeebecfegbbbdecffeagabecgbcdfaeecgcecfacecgdcdbddedaacefefedaebdbfgedafggabcedaggceacedbcdgfcbedbeggabcedbgagbceedbgdfccbedbggdeaaedcadeagfedccfcagdedcddbddfedcffabededdbdgccdedddadegbedddbggabeddfadgadedecccebfedecdfecaedegbfbcbedfbdebbfedfdagaagedffbaefaedfgbgbbaedgacbdgcedgdeaebceeadefbddeeadgbfdbeeagbgccceebdbccgeeebeacfdeeebebcdfdeebedaegbeebfegbaceebgcddeaeecabbfgeeecbdccfeeecbefgbaeeccageebeedaaafgfeedabbcggeedeccdebeeeaaedcgeeeabggcaeeefaccgaeefafbbcfeefafdbbeeefbdgeaaeegbbacfeefaabafggefaadfgccefaafaegdefadgcadeefbbdedddefbcccdcgefbddbeecefbebbgbeefbfeacddefbgdacddefcabfeagefcafdbdeefcbfafafefcefadccefcfcgbcaefcgbbdcdefdbadfecefdbcbedeefdbdcecdefdcbdgbcefdffbdbaefebfbcdcefeeeaaecefefbcfabefefcdadbefegdabcceffagbbebeffcagbccefgabccbgefgbcbdafegaeafafdegaebgbafegaecgbbdegaegbaecegafafdaeegbbdcccgegbdabfgbegbecbdbfegcabfdfbegccaaegdegcfcedbaegcgcdcacegeagdadbegebfcaebegeeaefaaegfbabeddegfcddadbegfdbafbcegfdbbdaefaacbfgeefaacdgffbfaacefddffaaffbebgfaagcfafefabdcfafgfabffaefcfabggecadfacedcgcdfacfagagdfadaeaegffaeaeedbgfaebddbegfaecbcffdfaegagddafaegcfadcfafedeaecfagddadfcfagecaddefageeafdafbaadgefdfbafafdgcfbafbfgccfbagfddccfbbbfcfgbfbbcecgcefbbedgdccfbbeecgccfbbfdcebffbccffcebfbcecgcfafbcefbccffbcfaadgffbcfcebbgfbcgdagaefbddecdecfbfbcgacffbfbfdbbffbgcafcddfbgcecbddfbgdccedbfbgddgcbafbggbaagcfcacdfdcffcaeccbgffcaegddeafcaffcaeefcbcdddgcfcbdfgacdfcbdggbcbfcbecbedffcbfdaeedfcbgdagdbfcbgddccdfccbccfdffcceccdgbfccgcagaefcddageeafcddgebcbfcdgcbfbcfcfadaegcfcfbeccagfcfcgbdadfcfdbcaeffcfffbbcbfcggacacefdadgdcfafdbccdddffdbcdegcbfdbfcebecfdbfdecdbfdcgdecbbfddagdcebfddbcfgacfddeaagcefddedadecfdeadcgccfdedeacddfdefebaaffdgceaaedfdgdafdcafdgfdbccafdggcbcbbfeacdfdfafeadafecefeaebagedfebbgccddfebfecbdcfecdaaffdfedcadccgfedcadgbdfedeafaagfedegbdbafeebbfccdfeedeadbdfeeeecbbcfefabgdadfefbbcadgfefdcfcbafefeagadafefeeacadfeffcfbaafegabgdbbfegdabcagfegdacdbdfegebddabffaccaedgffacedddcffadbbgecffaddddcdffafaccgcffbagbcfcffbfddadcffcabddcgffccbcdcfffccbgafbffcfaegaaffcfecaaeffdcceddaffddcdddaffdebaafeffdeccbbeffdfcabceffdfcacebffecegbaafffaebcdcfffafcaebfffagaceafffcabefafffcccfbafffcgadabffgbdacbefgabfafdcfgagabeaffgbafccecfgbeacccffgbfedacbfgcbbbffbfgcfgaadafgdcagabefgdddaadefgdfafaadfgeaddaecfgeagaaagfgecabdfbfgecdbgaafgedbafbcfgedfacacfgfbceaccgaadcefgbgaaecgdfbgaaeegdaegabcdcgfcgabcdffbegabdfdfccgabfeccfcgabfgfadbgabgacddggabgccffagabgedeadgacbedfddgaceadgecgacfcdgadgadadgbcggadecdcfcgadfdeaecgadgdcafcgaebaeecggaedddbbggaeecccedgaefdbcbfgaeffddabgaegeaadegagbbbgbfgagbfeadcgagcbdcbggagdaebedgagfadddbgaggbecbbgbaaefdeegbaagcgddgbaebgcbggbafdcfdcgbagecfadgbbbbegedgbbdaggeagbbdccagggbbdgeceagbbfbcfecgbbgbbebggbcaefcgbgbccedfdbgbcddagcegbcfefbcbgbcgegbabgbdbcafdggbdbcdebggbdeecdaegbdgdbacfgbedcaeedgbeffbdacgbfbcdcedgbgcbcebegcabedagfgcaeefgaagcafcafbggcafeacgcgcbbdcedfgcbdbagcggcbegcdadgcdbddcedgcdbefdcbgcdcgadfagceaafebfgceabedbggcedgafabgcfbadecegcfbagafcgcffcabgagcgaggbaagcgdccecagcgeacedagdacaggccgdaccdagfgdacgbcgbgdaebgbaggdaffdbaegdagbcdaggdbcbcdefgdbccecedgdcbddfbdgdccbcbgegdcdbbagfgdcfacbeegdcfgdbbagddafccfbgddbcegacgddfabedcgddfbeccbgdebgacfagdedbeebbgdfaebcgagdfbdadecgdfdgbcabgdfeaedacgeaeafdfagebbebdedgebedagdagebefcafagecabcgecgeddcaafegeeaagdccgefdaeaebgeffagaabgegcacecbgfabcbgbfgfacagbdegfaeaaagggfaedfbcbgfbebcfbcgfbgadbbegfcfaedacgfdcafcccgfdfabfbbgfeaagagagfebccbcegffccaabggffcfaccagfgaagadbgfgddacacgfgfadbbagfgfgggggbggaacedagggaagdgaaggbbdddaeggbfcaafcggcccadfbggdafbbcdggddaeaafggeaadbdeaabfbfeggaacdeefffaacffgccgaacgbfeffaadeeefgcaadefdgbgaaedfebfgaaefdaffgaaeggbbegaafbfgfbfaafeagffdaagafcfegaagaggdbgaagcgeebfabaeffgdeabcaggdegabcefegecabcggbdefabegdcdfeabfagcggcabfdfbdegabfdgcfbfabfdgdgaeabfgeaddgabgbgegaeabgefcbdgabggebfafabggeecdcacaeefffdacagdagfgacbgecffdacbggbgfbacbggdceeaccfeedcgacdeaefgeacdfgebfcacdgdaegeacebgcfgcaceedfageacefagfecaceffbfgaacegddffaacegedagdacegfadfdacfccefcgacfdfgbgaacfeddgfaacffddeagacgfcfadfacgfdecgaadafbfgcgadbdgdfedadbgfgbbfadccgdgceadcfcffgaaddegdefaaddgaegbfadebfgcfcadeedcgbfadefdcgebadegbefafadfafbgeeadfcbfgagadfdcgfaeadfdcgfdbadfgdfebbadgaafdgfadgaaffefadgcfedebadgcgcfaeaeacegcffaeafgcagfaeafgefccaebgecddfaebgffbgaaecfeeeebaedddagefaedgcbcgeaeegefdcaaefaeecgdaefagcecfaefbgeaeeaefdfebddaefebebefaefeccagfaefecefaeaefedcdgbaefedgbbeaegaedcefaegbaggbeaegggaebbafaagfecgafacgcgedafaefeceeafagcdcgeafbacfgfeafbcbgffdafbcdafggafbdccfgeafbebdfgdafbfacfgeafbfefgcaafbgceaegafcacegdgafcdbdfefafcdeffccafcgfcbbgafcgfcdcdafdaeedefafdaggedbafddfddbfafdeebfgaafeegbcceafefcgdadafegebfcbaffadefagaffbdccgeaffegafdaafgdagdafafgdbgeadafggafagaagaaebfggagaedfefbagaegecfbagafagbffagbeeggbaagbffdbgbagbgbcddgagceeebedagcgcbddfagdaaffgdagdffadfbagebadfgdagecbbcggagecccgagagefbcgdbagfcbfdecagfeagbbfagffdfaccagfgdbgabaggcabcgfaggccegbbaggdbcfcdaggfbbcgbagggadadebabebgfffbaccgddgfbacefgddebacfffecebadagfggbbadeceeffbadgcdffdbaeeccfffbaegfdcfcbafbgcedgbaffedecebafgbfgeabagefffbbbbaddggcgbbagegefbbbbcgcgfebbcbdegffbbcbffcgfbbdeffbdfbbdffcdcgbbeafgbgebbedgedagbbfecegcdbbfeedgccbbffcaeegbbffecgdbbbfgfccagbbgbdfgebbbgbeeffbbbgcfdfcdbbgfggacbbcafbgdegbcbdegfagbccbgffbfbcccdgddgbccfgcfcdbccfggbfabcdfgdgcabcedfedbfbcegbbgedbcfadedegbcfafefecbcfbdagffbcfcfefeabcfecbdffbcfeeccfdbcfgbfagcbcgaebfefbcgcaegedbcgebgafdbcgedgaagbcggacdgcbdacgfcefbdaddfdegbdaeaegffbdbagdfefbdbefagfdbdccgfcdebdcebgdfdbdcgaedefbddbfbcggbddcddeefbddfbfgbdbddfedgadbddgddcgbbdebgefccbdecbbfgfbdefabgfdbdfdddbefbdfeaccfgbdfgcabffbdgdgfeaabdgggcdabbeadfbfdgbebbfbgefbebgdadffbecagdbgfbecdcafgfbecfgdfacbeddagagfbedddfdbfbedfdgceabedgeeacebeebffcecbeeegafeabefaddddgbefbgbeagbefgacddebefgafbfbbegbeffacbegcbgcfbbegccgdeabegebeagcbeggdbacfbegggbccabfafffabgbfagceebfbfagegaagbfagffbfabfbeaggdcbfbfccggabfbgfbcbgbfcbdefedbfccgdbdfbfcfbdffbbfcgcfbfbbfdbeffeabfeeeaddebffbceeecbffbffbfabffcfbbdfbffdbgfbbbffefccaebfgegabcdbgaebfbffbgaefeacgbgafeagddbgafgeaddbgbbacgfgbgbdaffgbbgbecdgebbgbfbcefdbgbffffaabgcaageefbgcbbgcfebgccfgbfabgcdbgcgbbgcdecefbbgdafbfdebgddbbgbgbgddbcgecbgdddcdedbgdddeafdbgdeabcfgbgdffccbdbgdgfecabbgebacfgdbgebddfafbgeceabffbgfaggeaabgfdcbffabggacecfcbggadbcdgbggbbdgdbbggbbgdaebggbcdeebbggbdecafbggbdgacdbggdcbgcbbggecbafdbggfadeadcaaeggefbcaafddegfcabcdfggdcaddeceegcaddgeefbcaddgfecdcadeagedgcadeeggcbcadfdegfacaeceagffcaedbdfegcaefgdbcfcaegcfgbccafbdedgecafdedddfcaffdbdgdcafffeccdcafggfbbccagafdaggcagfcbffccaggfgcabcbaffgbcgcbbcgggeacbbfggagbcbbgfegcbcbccefgbfcbcdfgfeacbcfcgeeccbcgbedfecbcgcgbdfcbcgdfbeecbcgebgeccbdddagffcbdfgbdgbcbececfdfcbedfcbgecbeebecgecbeggecdacbgbefdagcbgcecfbfcbgdddbfeccadfgeagccbafdefgccbggfaeccccaggdfccccegeafdcccfceeedcccggbcfcccdbcagggccdcdefbgccddfgafcccdecdcegccdgbgeaeccefgccafccegcfcdcccfaefdbgccffbfgcaccgcedfbdccgdbedbgcdaaeggbgcdaebfggbcdagbdgfccdbadgeefcdbageefdcdbeceedfcdbfgfdbccdccagedgcdcdbgfddcddaegeeccddbefcgccdddafdefcdddbbfegcddedfaeecddgbagdecdeaffgbccdedgafcdcdeecegbccdeefedcbcdegbafedcdfbedgeacdfbfaegccdfcbgbgccdfefeaafcdffcefcacdgdbccefcdggcbfcbceaafgcdgceafagcfecebbgfbeecebfefbeccebgceedccecdbfdfdcecfdbcefcecffageacedbfbfbgcedbgddfbcedcfdedccedeccddfcedfaedgbceecgfcdaceefdcdbeceefgbagaceegeeaeacefbbceefcefcfabfecefddcccfcefeagcbeceffcbdfbcefgbcceccegbecebecegecebfacegecgcbbcegfcacbgcfabdfggacfacfefebcfaeffbfbcfbbfeagecfbccbgfecfbccgfbecfbcdegafcfbdfdfbdcfbgdddcdcfcbfaggbcfccebfdecfceffccbcfcegdebbcfcfgafadcfdbbdfdfcfdcdfceccfdddbfgacfeaefccecfeafbecfcfebfcgadcfecacfcgcfecbcgagcfeceagebcfegdafbccffagaceecffbcccefcffbebfebcffdacecfcffefeaadcfffaegabcfgbgafcbcfgcaeccfcfgceabeecgaccegcecgadfaddgcgaeaeffccgagfafcccgbcggdbbcgbffcafccgbgefbdacgcaefdagcgcdbfbfdcgcfcagebcgdadgdebcgdcgbgbbcgddcdgcbcgeggcbbacggacgcbdcggcbdfadcgggbecbadaafgebdgdaagbgfeddabdbgfefdabeafegfdabgfefccdacccfgcgdacegadegdacgbceegdacgbfegbdadddgcdfdadefcbgedaeacgeefdaebffdeddaecfggcadaedffebddaeeedddedaefbcgfcdaefbgcfcdafafgfbddagaegedcdagagdefbdagbeeefbdagccfbdgdagfafgdadbagacffgdbagggadddbcadgdegdbcdaffefdbcgdfacgdbdfbefbfdbedbgbfedbefedbgbdbfbbdeegdbfbeccgedbfdadggbdbfdfdgcadbfdgaegadbgbececfdbgddcegadbgdedadfdbgffcbebdbggfccbcdcacagfegdcbbggcbgdcbebdgcgdcbedfdfcdcbffdgaddcbfgddcddcbgaegecdcbgcgeeadcceedfbedccgbdeeddcdadeggbdcdefebfbdcebgcfebdcedecbefdcegaeagddcegcbaegdcegcfadddcegddbagdcfcbafgedcfcdceeddcfdbcgbfdcfedbeagdcfefeaebdcfgbcddddcfgbgbaedcgaedfafdcgbcccgedcgcdcbfedcgdbfeeadcgdcgagadcgddfadddcgdfccafdcgeaeccfddacfafgeddaggeecaddbcdgceeddbebcdfgddbebdefeddbedfcedddbgbgdbeddbgedebdddcbfgebdddccgbebgddcdffcbeddcecdfceddcfbcedfdddccdegcdddccfeagddddbgedcdddfaaggcddeagdccfddecccfdeddeecdbeeddefaaffdddfaafbfgddfbaggccddfbgcdbeddfcagbgcddfegabagddfgeaeadddgcbfbfcddgccbbffddgccfccdddgdacfagddgdaedcedeabegddedeaddggcbdeafdfbfcdeafebcgddeagaecgddebddefdcdebgbdgdbdebgddebddecafbfeedecbgcgbddecbgeafddeceffaafdecfefcdadecffaebedecffecbcdedbbecffdedbfdfccdeeagagdcdefcadgafdefedagdadeffefbbadefgcbbcedegfeaeacdfaaecfdgdfaebgcbgdfaeddebfdfagbcgdcdfagbdfbedfagbgdbddfbceaggbdfbcfcecedfbebegccdfbffabdfdfcagfeaddfcbfdfdbdfccdfgacdfcdebaffdfcfeabcgdfdaegbdddfdbaeddgdfdbecdfcdfdeccagddfdeffbcadfdgaaddfdfdgcgaaddfegeacdbdffadcgdbdffbaefbedffdcagaedfffcecacdffgbebcbdfgadgaafdfgcbeebcdfgcgdadadfgdecdbbdfgegbbcadgacbgfafdgadedcgbdgafefccbdgafefdbbdgbaebfdfdgbdebdcfdgbfceabgdgbgcaedddgcafeadfdgccaebegdgcecfcbddgddgcdacdgeacacgfdgeedcabfdgefcacdddgfbbdcfcdggcaecbedggdabagddggdacbdedggeabcgadggebbagbdggfcaceadgggbaaddeaaededegeabadfdggeabedgeddeabeeeddfeabeefeceeabfbbeggeabfddeeeeabggagbeeacfdedcfeacgdbffceadagggadeadfafgebeaeaefgfaeaecbedgeeaeccfefceaefaegafeaefgfdbaeafbeafgdeafcfffaceafdgcfcbeafedffaceaffaggcaeafgdbfdbeagfdcdfaebaecfcffebaeefaegebbbgebegebbcdfdfeebbgbfeddebbgfdbdeebcaefgbfebddcaggdebddgceebebdffabfeebebdcgfcebecgcagdebedaegddebedfdcecebfaaeeffebfceagecebfcgbefaebfdcfaeeebgbeeafdebgebbagfebgecccedebgefcebbebgfbacgdecacegffaecadffgadecadgegbcecaecfeedecaecgfcdecafcfffaecaffbdcgecaffdfccecagfacefecbcdfdeeecbgafbgdecccbgfgaeccffcgaceccgccffaeccgdgbccecdadggaeecdafgcfbecdbgbgfaecdcfedfaeceafebeeecebfbfageceebbfcfecfaeafgcecfaedbgdecfaeeadgecfbdgedaecfcdgaceecfdbgbddecgdcecafecggbebaeedacgdfdcedadgecfbedbaefbffedbbebfgdedbcagggaedbgefaebedcbddecgedcdggadbedcefccbfeddeebaefeddfbebdeeddgeebbcedebdcdfdedfaedfdbedfafgeabedfbcfeccedfcdbeecedfdacgafedfebccbgedfeeadbeedfgaffaaedgbafgbcedgdcbccfedggabcbfedggebcaceeaadggfaeeaccgeeceeadecbgeeeafdbfbfeeafddccfeeagdbcgceeagebcedeebafdbffeebaffedceebbbfdfeeebbgggaaeebecebcgeebefccgaeebffafcceecadgdeceecdaaegfeecdagbgceeceacbfgeecegafadeeddfgabceedefbbddeedfecdadeedgbeceaeeeedbbgbeeegcdfaaeefabdafgeefcbebedeefccbfbeeegaddddceegbgbecaeegeebadcefaddfadfefaecdaffefafeaeceefbagccfdefbbfgaagefbbgbccgefbffddacefcacbgcgefcaeagdeefcdfbeaeefceaafgcefcgccddbefdafbfbeefdagbecdefdebdbdeefdecbcedefdeccbdeefdfadeaeefeaddedcefeaedaeeefeccgccbefefafbaeeffbaedddeffbaeeebeffdadcfbeffdccbecefffagdaaefgacbdcfefgafdaebefgbbcbeeefgdbcbbfegaaaegeeegabdeffaegadgedcaegbacebegegbaddfecegbadfebeegbaefagcegbdddbedegcabgfaeegcfabcdfegdabccegegdacebcgegdbdgcbcegddafbgaegeaabgbgegeccfccbegecefabcegeebbeccegefccaafegegbcaafegfbeabgbegfbfcfaaegfcaegabegfccaecdfaabedgfefaacefefdfaagbffcefaagccdfffabaeegeefabefbfbgfabgbbgfdfacdgddfbfacgdddgafadbgaedgfadddfecdfadeddbeffadfacefefadfebgbdfaecgbfaffaedcgadffaedddebffaeeaeddffaefgadebfaeggccbcfafceagcefafdbacggfaffccfccfafgedbdbfagbbffaffagbcbfdffagbcdagffagebfddbfbadaeefgfbaecfgebfbafafefdfbafdedbgfbagcdbgefbagcgaeefbbeaegedfbbgabfeffbcageffafbccegbfcfbcecgeccfbcfbeegafbdaegdbffbdagbgagfbdbbdgcgfbdcgagbefbdcggcadfbdeddgcbfbdffaadgfbdgcfbdcfbdgfbaedfbecdddgbfbefedfbafbfaffabgfbfbedcgbfbfbgagbdfbfdddagcfbfefeaeafbfgccaedfbgafcfccfbgbcfdebfbgdebcbffbgdfbcaffcadecgddfcaebgbdgfcbaaeffgfcbbgdegafcbefbbeffcbgcbafgfccaddcgffccbddddgfccfcfagbfccgcgbdbfcddcedcefcefeaaeefcegebcbdfcfffbafafcgbbgabgfcgbebfaefcgcbcffafcgdfbddafcgebcddcfdafcgccdfdagdfaagfdbafgbedfdbebeecefdbegedacfdbggcbeafdcdebddefdcdfefbafdcdgccfafdceadedefdceagcfbfdcecgafbfdcfacgfafdcfcdadffddabdeeffddbdddfcfddbeefdafddbegebbfdddbgcdcfdddgbbagfddeadbgdfdebdffacfdebebdgbfdebeccbgfdecgcdcbfdeebcbgcfdfafdcebfdfceadcefdgafceadfdgbaffadfdgbcefbbfdgcbefacfdgfddadafdgfddcabfeabcebgffeaegcfbbfeafaedfcfeafgebadfebagddagfebcfbcdffebfeabfdfebgbeadefecaegafcfedcdccdefeddfcaecfeedecbdcfefacagbffefedabddfegbbcefafegbdgadafegcbdbddfegdeadadffabbefgbffacegaagffadeacgdffadgeaafffafcfdcbffafedceaffagagagaffcacgcgaffccbdgbdffccbfbcfffdcadbfeffddbbaffffdeacaefffebagbceffebccdddffecaadgdffeecgaacffgbbgaccffgcbadddffgeaaeaeffgfbfabafgaaacdggfgaagdaeefgabagebffgacccgdcfgadfgacbfgbbdbgbefgbdbcgeafgbdcegbafgcacabggfgcbgadaffgcedceacfgcffdbbafgdbbefcbfgdcafdbdfgddadafdfgdfbdacdfgdfedabbfgeaacgcdfgeaeedbbfgebcbfccfgegcbcacfgegebbbafgfaagaddfgfbcabfdfggebaceagaacdggebgaagggbbcgabeaagfggabgbgafdgacecbgbggacecdfbfgadabecgggadbcebfggadccffdcgadceagbggadcfgebbgadeagagdgadeagfaegaebfffacgaebgfecagaedddbeegaeefcabggafcbbcfggafcefecagafgdbccdgagacedbggagbbbgdegbaccfgfbgbacebffegbadcfgbegbaedfbcggbaefgbdcgbbacfgbggbbbacgfggbbfdacgegbcbdcbgggbcccdddggbcdeaecggbdafgadegbdcceaffgbddaedcggbddcccgdgbdgbgafagbeaacfffgbeagefcagbecfccaggbedbgeadgbedeebbegbefbabffgbefbebcegbfeebeadgbgabfbdfgbgbfaccfgcabefagegcadafedfgcaefgabegcafagbcggcbagaedggcbbafgedgcbccgcdegcbcgbbefgcbfcbgebgccceddbfgccdefafbgcceeceeagcddaaeffgcddcbebggceaeeafdgceebeecbgceecefabgcefdbdbdgceggbbacgcfagbfcbgcfddgadagcfefbbdbgcgcbcdcegcgcbgbbdgcgfbbdccgcggfbcaagdaabgedfgdaagcafggdacegddbgdadbfbgdgdadbfcgcgdafcdgbcgdbefaaefgdbegbafcgdbfcfceagdbgdbcbfgdcaafgcegdcccdddegdceebbbggdcgbccbfgdcgdaafdgddadaegdgddaecgbdgddbdfagbgdddcdeccgddfbdagbgddgaageagdeadcecegdfebdddagdgaafgbbgeaagbbeggeacdgcebgeaebbffcgeaecbcfegeagbdfdagebbbdbgfgebfbfaecgebfbfebbgebgcebdbgecacffbdgecefabecgecfebbcdgecgbcedagecgcaafdgecgeaebbgedbdacdggedccddfageebfbcfageecdbdbegefadbdcegefaeccbegefdbcbecgegdaaafegegfbaabfgfaeaegcbgfageabgagfbabfbfegfbbcacgfgfbcbeccfgfbgaaaffgfbgcbacfgfcabcffcgfcbafcdegfcdfbabfgfdaffbcbgfecfagaagfedfbaaegffaabgafgffabcgcbgffbaedeagffccabfcggaabdegcggaafaagfggaagdagbggbacffbcggbceaedcggbgaeafaggcbbfdaeggcbedbbeggcbfbgbaggccddbebggcedgaabggdcafaagggebbcfadggfaebebbggfbbdafbgggbgabcaaaebedfggaaeffegebaaffgcbgeaagefccffabbeffefeabbegfcegabcbffgfeabcdcgefgabcgcgffcabcgeagegabdcefgeeabddecgffabeeedgfcabfefdfagabgafbeggabgafdeffabgdadfgfabgdbecggabgddbefgabgdeecfeabgeafgdeabgfgccfcabggegbafacbfgefddacfagdbggacfeeegdbacfgafgfaacfgdaegdacgadgfdeacgbffcfdacggfaceeadcddgfgbadcecfggbadcfecbggadcfefgccadcgegagcaddedffceaddfegfadaddgdacggadebeegbgadecgdbgeadedddedgadeeccgfdadeeegafdadegfgbaeadfbdbgegadfcdebgfadffdbfgbadffgaddeadgcdecgdadgcfebdfadgfcfcfbaeafeeggaaebeegdgbaebfgfcceaebgbbfgfaeccgbgeeaedaebfggaedfaedegaedfefgbbaedgebgafaedggeaceaeebfgcdeaeedgdagdaeedgggaaaefbafgeeaefdefbdeaeffccfecaeffdbfddaefgbceedaefgbgdccaegcbgcfdaegfffaccafaeeefgbafbcgdfedafbegfcfbafcbdfdgeafcegbegbafdbgggcaafddefeafafdfdcdgcafdfdgdccafdfecdcfafdfefdeaafefbfbcgafeffgaeaafegaebfeafegbdeecaffdcfcfcaffeeedbdafgbedbdgafgfbbfbfafggdbcgaagaeabgggagagdfdgaagbcafggdagbfdfcbgagbgebddfagbgggadbagdagdecfagdcfdaegagdebedcgagdfafdbgagdgbbeeeagebaegdfagebgddecagegaegadagegcaecfagfabeefeagfcgfbdbagfebdcgcagfefbdbeagffbcgccaggdfccebaggfaecgaaggfcacgcbaagddggebabbggeffbabffgfbfbabgeegdebabgggedcbacffegfbbadfdgcfebaeebgeefbafdfefecbafdfeffbbaffgdeafbafgfacgebafgfdgadbagbeggcdbagedggadbageecedfbagfbegcebbdcgfgcdbbddgdgecbbecgfdedbbeeegfccbbegafdfebbfageeeebbfccfdgebbfcdeefebbfcdggcdbbfdcegdebbfdgdaegbbfeefefabbfgdedecbbfgebcefbbgcdeffcbcagcegeebcaggeebfbccbggcdgbccgegdbebceaecffgbcebdgdgdbceecgecebcfacdfgfbcfbebfegbcffbffbebcfgacgedbcfgafaffbcgdfagagbcgdgbeecbcgdgebagbcgffaefbbcggdaebgbcggdaecfbdafgdbgebdbagggddbdbdgcdegbdbfcgecfbdbfgefaebdccffcgdbdcegbfcfbdcgcfecebdddeafffbdddgfaeebddgeccgcbdeagcdegbdecacgfgbdefefaedbdfeedgadbdffaaegfbdfggabedbdgadegddbdgcdeccgbdgcedcfdbdgfcbefcbebdebgefbebebdgdgbebgeggabbecefedfbbedbaggeebedbeagegbedbfdgecbedfceeecbeebedgfbbeeebaegfbeeeggdabbeeffdgbabeegdcbeebeegdgfaabefcagdcgbefgccfbdbegcfebfbbegddddfbbfadffgaebfagbdcgfbfagcdgcebfagfbgfabfbdecgcfbfbeadfgebfbfbgagebfcbbgdffbfcbeefedbfcbefagfbfccaegfebfcccggbebfccgcagfbfcdgcaegbfceddgfabfcgbffeabfdabgcfgbfddfdafebfdeeecddbfdgbgecbbfeadgefbbffaacffgbffcbcegdbfffgdbcbbfgcafeagbfgcagaefbgacdfcffbgagceegabgagfdeccbgbbceeffbgbcgecgbbgbfcgafdbgceegaddbgdbdeddfbgdccgaefbgecefaedbgedbeefbbgeddbcefbgeebgfcabgeedgccbbgefacagfbgfbacdfgbgfeeaadgbgfeedbbebgffaebgbbgfgadfcbbgfgedadbbggacdgdcbggbbdfgabgggcddcacabdcgdggcacfdgedecadcdffdgcadgcggdbcafcfgefacafdabgggcafdeefcecafecdffdcafgcgeeacagadegeecagegddbecageggbeacagfdgccdcbaeedggdcbbfecdfgcbceffeddcbcgbgdfdcbdcfeddgcbdgbecegcbecebdggcbedfegcccbegeeafdcbeggdbgacbfcbbgfgcbfcfcdgdcbfdgceagcbgbcfefdcbgcecdfecbgdddeedcbgeedebeccaedfegdccagfdegbccbfcedffcccdggaeecccedeefdccdbegbffccdefegdacceacefegcceaegcefccfdegecbccfecgcbfccfefbbgdccffaddefccgafffeaccgbbefdfccgbddgddccgdeaggaccggeaccfcdafdcgfdcdbdgecgccdcaaggegcdcbggcfccdcefebfdcdcfegacfcdcgdbggacddbcgfdecddffceafcddffdddccddfgebcdcdeaafgefcdeddeebfcdefbfdcecdfbcfdgccdfefeabfcdfffbbdecdfgcdebdcdgaffdebcdgdbegcccdgefdabfcdgfadaegcdggadfeaceafbedgeceagefafdcebafdcggcebddffgacebddgdbgcebfeafdfcebgbgcbgcecccfgeccecdbdgcgceceeedddcecfeddbfceddbecgeceddcdbfgcedgadfagceebegdebceedgdbbfceegaagcfcefabbffgcefbffbgacefccbdffcefeebfdbcefgbbdgbcegageeadcegbgbeebcegcabgcgcegdbbfbgcegdbfcddcegfaaeeecegfbcbgccegfbccgbcegfdabeeceggaabegcfaagcgfdcfaeebdffcfagfaedecfagfcgdacfbbafefgcfbdfffadcfbefbfddcfccccgeecfcfdeafdcfcfedbcfcfdcddgafcfddfbeddcfdedadefcfdfdbfbecfdgecfbbcfeaffbdecfebdgddccfefdccddcfegaddcecfegebbddcffaddgbecffceefcacffdfbccecffeceaedcfffdaafecffgabddecfgaaegcecfgabccfgcfgbgcacfcfgceccfbcfgceeacecfgcgbgbacfgdeaecdcfgdfaadfcfgdfcbcdcfggbdbdccfggcfbaccgaedcgddcgafbdfcfcgbdefacgcgbegbfcccgcdcfafecgcdcfbfdcgcfdfbbecgdacdgfccgdbefbgbcgdddgbcdcgddecdgacgdgaebgbcgebdegdacgecdafcfcgedafadgcgedafbcgcgfacbfeecgfbaafgecgfbfbebecgfcdgcdacgfdcbgaecgfdcecdccgffaacefcgffbgabdcgfgbfbbccggbfcbdddabegadggdabggdeecdadagegdedaddegfbedafafbegfdafbcfcfgdafeecgbedagbffedcdagdagcefdaggaageedbaeeefdfdbafdegeddbbecegdfdbccegegbdbcfdgcbgdbdageddgdbdfbdcfgdbdfdfdagdbdgagdcfdbdgceddedbebdeeefdbecgdbdgdbedagddgdbedgaegcdbeefagbfdbeffgdacdbegcffbcdbfbbfcgfdbfcfdfebdbffbdddfdbgfeceeadcafffdgadcbcedegedcbfgdbcgdcbgdbfdfdcbgddededcbgegddbdccceaeggdccdcbeggdccdeegdcdccebdgeedccebfddgdcdegcceddcdegdbbgdceafcfeedcedbfafgdcedgbcdfdcegcdfdbdcfecbgcedcfefdagbdcffgdeabdcfgbgebbdcgdfbgbcdcgfafcfbdcgfdaeagdcggcaeagddadedfeeddadeeaggddagbgefbddbfaffcfddbfbggdbddcdeacggddcgdgbafddddebddgdddeeafcfdddgdddbeddefcbegbddegabgbfddegcbegaddfbdgcddddgbefbddddgddfbfaddgebcdfcddgeeddadddggacfccddggebbebdeadgdeecdeaecdedgdeafffbfbdebafdffddebbdfedfdebcbfefedebccdggcdebdfaffddebegagafdebfagcfddebgbeebfdebgcgbbfdecceaeffdedeffbbddeecedbgcdeeddaaggdefbggabddefdcefaddefeebcbfdeffedbdbdefgdcbbedegbfbbgcdegcabeefdegcgfbcadfaadecggdfaaecgefdfaagaefgdfaagefdddfaeadffedfaedagcgdfbbbggagdfbcedcdgdfbffabfedfcafdfagdfccedcdfdfcddafdfdfcgfcdaddfcgfeabddfdaffgcadfdbcagdgdfdcagcdfdfdccfdagdfdeaadfgdfdfegdaadfeaedceedfeaeeafedfeaeegdadfeebdfeadffcbbaggdffcgdadcdffddaebfdffecadbgdffececdbdffgebdbbdfgbbbbgfdfgbdadcgdfgbfdbbedfgbgaedbdfgccccgbdfgdgaaecdfgfcgbabdgadcadggdgaggbccddgbaegafedgbbcffdddgcabggdcdgcagfacfdgcfdfacddgcgbgeabdgcgdccbedgcgddfabdgdacdgdddgdaegeaddgdbdbedfdgdbgeeacdgdcdcfebdgdcegbbddgdgcdagadgfceacgbdgfgadceadggdfbafaeaagffedceabdggbcgeacfefcdeeacgcdecgeacggeebceadfgebddeadgcfccfeaebegfebeaedbgdcgeaedcdgcfeaeebgdbgeaeecgafeeaeedfdceeaefcdefceagacfgageagbfcagfeagegafdbeagfeaaffebaecfbggebbbgcfefebcefeaefebdafefcfebdedfgadebecgecgaebefeafecebegafefaebfagbgagebfbcffbfebfbdcegdebfdcedfcebfdcgcddebfdfcfeaebfedcbfeebfgbdcedebfgdabfeebfgedabfebfggeacbebgbbfdgcebgbccdegebgbebbfgebgcfagbeebgdafbfeebgdfcdcdebgfadcfdebgfgecabecbdcgcfeecbdfgagcecbeedefcecbgbdgceecbgebcefeccafgceeeccbcgdfeeccdadggdeccddgdfbecdafbfdgecdaggfcbecdcgecececeagfcddecebccfgdececcgcgbecedageececedfdfcbecefedgbaecegffaadecfeacfbgecffebdafecgagcbgcecgbfecebecgdeedadecgedeecaecgefbccdedaafdggcedabdggddedafbfecfedafcdgfbedbbgedcfedbcfdcdgedbdcfddfedbeaefdfedbedeffaedbfegbbeedcbgcfbfedcdcedgceddbafcfgeddddfddceddfbecededdfcgbdcedeagdagdedeebagfcedeefbdfaedefbceecedfbedbfdedfbgbebeedfegcbaeedffeaeeaedfgdbbagedgbafegaedgbgecadedggbgadaeeagfbfcceeaggfbdaeebfgebaeeebgefebaeecacgfeceeccbcggceecdbgcbgeeceeafddeedbfbegbeedcegceaeedcfdecceeddbbegdeeecdgaddeeedadgebeeeeafeeaeeeffbebbeegebbebeeegffdaacefaabdgegefabdbfegefadfdafeefaefcccfefagbedddefagcfdeaefageadgbefbbcgffaefbbdeeedefbbfcddfefbdfagdcefccfaebgefcddbfddefceaaffeefdaaegbgefdcfccbfefddcfcafefecdgaebefedceccdefefadcgaeffacgbagefgbaebdfefgbccdgaefgbebcceefggfacbaegaadfdgcegacbdbggegafbedgaegafdfabfegagbfgbaegbdagadgegbebddgbegcaeaefeegcbfefbbegccbbegdegccbcfedegcceabgeegcebddagegcfabgafegdabdbfgegdbcdgeaegdcbedceegeafdedaegebegabdegecbfgabegeeceeabegffcdacceggafcdadeggbbedeaeggefbacbeggfaeccafaabdggfdfaadefgfbfabcedcggfabdefgfafabebgdfefabeeeagffabfbggcdfaccdefgcfacegdcbgfacgddegafacgeeeccfadbdfggafadbegeddfadddfafffaeadgfcefaebeeebgfaebfgcddfaebfgeeafaedcfaegfaeebdfedfaefbfbdffaefbgbdefaegcccfdfafafeegafafbcgegafafdfdbcffafgadbfefafgbcgbdfagacedgdfagbafecgfagebgcdcfagegcabffaggbdfbcfbaaedeggfbabbfgfffbaedgeddfbbcefdgcfbbcggacgfbbecfagffbbfafcfffbcffdbgbfbcffffbafbcgbeebffbcgdefadfbdbafcggfbdccgddefbddfbafgfbdgaeccgfbeacfdeffbeaefdbgfbedbgagdfbefefbeafbefgeeaafbfcbdffcfbfgacfbefbfgececafbgbfbgccfbgcebbgdfbgcedbfcfbgdcedcdfbgfeacddfcabgagfefcabggbfdfcbbffeddfcbcgedagfcbeaggfafcbeeaegdfcbefaecgfcbfcdcdgfcbgcfdfafccafeecffcccfcddffccdgfgaafcdbgceecfcddbgecdfcebacfgefcecfecebfcfacdecgfcfddafgafcffabgebfcffdedbbfcfffabddfcgcceedbfcgcdcdcefcgcgdadcfcgeabgebfcgeedbdbfdaaegfcefdabfcgfcfdbcdafegfdbefeddbfdbegbcedfdbfdfbagfdbgebedcfdcbggddafdccccffdfdccecgfafdccfdfbdfdceddefafdcgccadgfdddebfcdfddgacdbgfdebddecefdebdfcddfdecgbagcfdeebfcebfdeeccdecfdeeecebcfdfadbedffdfcgbgbafdfdcceaffdgbbgcbefdgcbadfefdgeeafacfdgefbbccfeacafcfgfeacdeffbfeadcffdcfeadcgcedfeadedfcdfeadfbefcfeaeddagefeagfbcbffebbebffdfebbedbegfebfagbfcfecbfgbcdfecdfeagafecdgbbcffecfcefacfecfgbfbafedaagfagfedcagdecfedecbcfdfeeagbbeefeedcgeabfeeedcacffeeeebebcfeefecacdfefabdgbefefbecbedfefccbaegfefcddadefefdbdgacfefdbeabgfefffdaacfegaccceefegbaebgcfegdeeabcfegdgebaafegeacfcbffadgefabffagaagcfffbacgdedffbbfagceffbbgbcfdffbeafdfbffbebgfbbffcaafdfeffcaecgdcffccfbcdeffcebgaagffdabbeffffddbaeeeffddebbedffdeccdafffdefcbdbffdfbdebcffeaadaggffeafdgbaffebbfbbgffefabbgcfffafccbefffcagecafffcgcdbaffgbcdbgafgaeddafdfgafcccfcfgageaebdfgbaebgecfgbbbaggdfgbeceacffgbedecaefgbgbcdaffgcbacdegfgdbgdcbcfgecbedbdfgecebedafgeeabebefgefbddacfgegedaabfgfaaedcefgfbaaegcfgfcbbfdbfggaebabgfggcaaccgfggccdeabgaagdefafgaageaegdgaaggaegbgabbgdegcgabcggedbgabfbgfcdgabfdcffcgabgedcedgacdbfggagacedggbbgacfgeabfgacgbffccgacgccgafgadaccffggadcecedfgadcfagedgaddccgedgaegbegbbgafadefbfgafcgabefgaffdcdcdgafgcdfacgafgcecbdgagagafgagagceeecbgbagbgdbfgbaggabefgbbcebdgfgbbdccgeegbbebfbffgbbgagagdgbcacfggbgbcbefdbggbceeccdfgbdaafgeegbdacbfgfgbdcdebdggbdcedebfgbdeagefagbdecdaffgbdecfadfgbeacgfebgbeaggcbdgbebagfbfgbecdfdafgbecgbefagbeebaffdgbeedgadcgbefabdfegbeggcdabgbfadfgdagbfadgdcdgbfcgdbcdgbfdcdagdgbfdcgagagbfdebfbdgbfeebddcgbfgbdbbfgbgafebaggbgdagbaggcabfggdagcabgbefegcaffafbfgcbefceebgcbfffdacgcbgdcgadgcccdcdefgccdgagaegcceabfefgccegcbddgcdabbgffgcdbcgdcegcdfabgbfgcdggabbegcebebddfgcedbcfcegcedbebgcgcefbefbbgcegadafdgcfaeaefdgcfcdfacegcfdcbfcdgcfeaeddcgcfefeaadgcffcagdagcffcceadgcgbbegcbgcgcdfdbbgdaagadgfgdaededddgdafefaddgdagegdabgdagfdacegdbedfeadgdbfafafegdbggcccbgdcfddagbgdcfgbafbgdcgbbbefgddagebgagddcbbegdgddccebdfgdddgaaeegddfeabedgdeaegcbdgdeaegeacgdeeaeeaegdegbeebagdfddaafegdfdgeaacgdfebcfadgdffbfbadgdgagdcdagdgbeeccbgdgceeabdgdgdbgbbcgdgedacbegdggabccdgeaagbefdgeacbaegggeafcbcfegeagaacgfgeagbceddgebdbeecegebgabgdcgebgeaccegeceadbgdgeceeedcagecfbfbdcgedbfgaaegedbgbafdgedcagdbegedgafcbcgedgcbcdcgeeagebbdgeeddcaedgeedeafbcgeedebdbdgeeeafdbcgeefadbcegefbddfacgefcagbcdgefcbgaafgefdbbfeageffabcecgefgdadacgegdbacedgegddbbdcgeggdadbagfaagegbbgfacfdcgagfadedbdegfaebdefbgfaffdadcgfaffeadbgfafgbacegfagdafaegfbabggaegfbbbebeggfbdefdbbgfbgebeacgfbgebecagfcbbdegbgfcecagdbgfcgcagacgfddgccbbgfedeabecgffagbceagffcbadfcgffcddacdgffecabbfgffgabgaagfgdccbbdggabgfebaggacfadbgggadfcdaeggbacdfagggbbegadcggbcfadceggbdbddceggbecbfaeggbfcbcfbggbfgdbbaggcaedcfbggcbcdbcgggcgbeadbggdbaddcfggdbdbgbcggdbgbebbggeadbdbfggebeeabdggebfcbeaggeedcaeaggeeebdbaggeggaabaggfcgaaeaggfdedaacgggabdgbagggcacbfbgggcbcceaaacdfeffgaacgddggeaacgegegcaaeeedfffaaffgdgcdaagaegffeaagbfgbgfaageefecfaagfecfgcabcffcfegabcgfgdcfabdefeefeabebdffgfabgbdegefabgegagdeacbaaaabacbebgeggaccdfcffgacceefgdeacdecdggeacebggeedacedcfggcacedfbfffaceegbfcgacefcgbegacefgfbfcacfafgdfeacfcdgdfeacfcgefbfacfebfffdacfeeeafgacfffecbgacgcefffbacgeecdfeacggcgdfaadaffdfgdadcgcdgeeadcggccfeaddbdffegadedggeaeadeffaeefadfgceageadgegbdgbadgfafcefadgfcbfgcaeaeffddgaeaffbfgeaebdcegegaebgcddfgaedbfgedeaeddbdeggaedegeeafaeeadeegfaeecdgffbaeedeecefaefbgfdddaefdfecbgaegcggbcdaegedfdfaaegeffbfaaegfbebfeaegfcfcecaeggddebdafagedgfbafaggcecfafbcgedfeafbgefdceafddfgcbfafddgfcfbafdedecdgafdeefadgafdfefcgaafecafeegafecgdaegafedagegcafedegeccafeeedgaeafefbbgfdafegecfdbaffebdecgaffeecbfeafgaegdagafgafgcgaafgagddfcafgcccdegafgdfabffafgefadbgagaffbgbgagagcddffagagedfddagbfdfageagcbegfceagccgdffbagcdgegdaagcfbedfeagcfgdeeaagcgdbdgdagdgeacdgagdgedebdageaebdggageafbeffagecedgcdagecgdefaagefcggabagegedcafagfacggdcagfbdbeffagfbedebgagfbffdafagffdbaffagfgcddcdaggcafedeaggcebfceaggebadffaggfedacebaabbaabbaafdfgffbaddfcgffbadgeffbfbaecdggdfbaedegddgbaeegggdabaefegceebaeggfgacbafddbggfbafgccffebafgdfecebagceegbgbagdefffbbagfddfedbagffdeddbaggfceddbbbcfgggcbbcgecgfdbbdgggafcbbedgggbcbbffggagabbfggdcgabbgbbfegfbbgcdgcgdbbgdfededbbgfcgeafbccgceefebccgfeagebcdfgeedcbcdgdgdfbbcdggbgbebceagegcfbcecfecgebceefeccgbceegebcgbcegfcgaebcfbfdfdfbcfbgegfabcgdbfgecbcggeddbebdbdgeaggbdbeagfffbdbegffdcbdcagbfggbddfbggcdbddgeeaefbdedeagdgbdegfedccbdeggdgabbdfeffcdcbdffeeagcbdgdbddgebdgebgafebdgfdeaeebeaedegdfbeafcefefbecbefffdbedcdegcfbeebfgecdbeeceeagfbeegggadabefbfebgdbefbgcedebegaffdcebegbffaeebegbfgdccbegfacfdebfadcgfeebfafgegbcbfcafgffbbfcdfdfddbfcdfgacgbfcdgffdabfcegeaeebfcgdgbgabfcgfcdbfbfdaccggfbfdbddfdgbfddfaffdbfdfdcedebfefdceddbfegeaeecbffeacdffbfffbgaedbffgedbafbfgbcfgccbfgdgefaabgabegcgebgadfccgfbgadffccgbgagecfagbgbdefdfcbgbefdbfebgbegagecbgbfebcffbgbffacffbgbgeaaggbgbgedfaebgbgefdaebgcbgegbdbgccfefcdbgccgegdabgceeedddbgcfegceabgdfedcagbgeaffgcbbgefdagbebgegdaeagbgfgbadeebggbfgbaebggdccdfccaafggcfecabdegfdgcacgbgcfgcacgcfdgecadeeggbecadegecgdcaeccfgdgcaegcggdbcafdgdeedcafeggedacaffbgcgdcagcfbdfgcagcgcfedcagdgaefecaggddfbecbaggefcecbcgfacggcbcgggbfbcbdfefddecbdfefgaecbdgdgfdbcbeeecbggcbegcgbdfcbfdeebgecbfecbfegcbffefadfcbgbeecffcbgcdegfbcbgcegfeacbgeggacdcbggecdgaccafaeggfccagbgffdccagdfdfeccbcggcefccbfcggecccbfeeggaccbgcfdgdccccdfegecccdfgagecccfgcdeeccddfagfeccedgeeafccefdeeecccegbcgbgccfbegebfccfccfffcccfcfcegcccffaegddccffgeafbccffgfebaccfgagbdfccfgdebgbccgcdfgbdccgfbcfcfccgfdgdadcdadgffagcdaeagggdcdbgfadffcdcacegfgcdcdfaegfcdcfbbggecdcggagafcdcggfaeccddddecegcddeadggdcddeeddgccddefeebecddgcdgafcdebeegagcdedcfbgecdeedbgdecdegfgccacdfagccffcdfagdfddcdfceedbgcdffdaeeecdgccfeeccdgfedbgacdggbfaedceaagceggceaeeffbfceafecdffceaggagddcebfgfbbfcecefaffdcecfceegbcecffdbcgcedaafffgcedaceggdcedbdbggecedfegdcbceeaeffgaceeffbcedceeffdbfbceegafgadcefaedecgcefagfbbgcefbdgdcecefdgbdeccefebagdfcefebcegcceffdcedccefffcabgcegfabefdcfagfdafecfbbggcdecfbffabgfcfcccfdgdcfccgfbcfcfdabfegecfdbfffaecfdddcaggcfdfbeefbcfdgfaagdcfeedgaeccffdddeafcffgdcedacfgbfdgcacfgggadbbcgaedafegcgbdeggcacgbeegbagcgbgdbedecgbggeabecgcbefddecgcdddeedcgcdegbbfcgcedeadgcgcgedbgacgdcdgfadcgdcebdfecgeacgefbcgeagedfacgebdegcccgefddecbcgefedccccgfbdbeeecgfdbfgbbcggafbccgcggagadgbcggbgcecbdaccdgggcdadfbcgegdadfeegdcdaeeefeagdaeefbcgfdaegefbdedafebbfgfdafegbbgedafgefdaedagadecggdagdeggacdagfbfgeadbcbffedgdbcdefgdddbddcecggdbdegfcdddbdfeagdfdbebdfgfcdbeceggdbdbedefdcfdbedfagdfdbedgfdfadbefefdbedbfccbggedbfebefbgdbgffacgcdbgffeebbdbggbcgebdcabegfefdcadefdffdcccbfdggdccfbffbgdcddegfdbdcdffdgbcdcdfgebagdcdgeedfadcecdeddgdceddgbdfdcedegfcbdcfbbfgcfdcfcdebffdcfddfbdfdcfdfdeebdcfefbddedcffegcbcdcfgcceagdcgcebdgddcgdbggaddcggbbddfddaccegegddbbgggaeddbcagegfddcbggfdbddccdgefcddcdfgedbddcdgefbdddcebgegbddcfdaffeddcggddaedddbffcfddddcdgeecdddeefcdddddfafagfdddfbagdgdddgbdgdcddebdaeggddfefacdfddfgdfdcaddgeeabgddeabggbefdebbfddegdebgaaeggdebggabefdecadggfbdeccgbefddecdfdeecdedefaafgdedfbddfddedfdfbdddeebebfeedeebfabggdeecbfefcdeedcdgdcdeefgbaeddefdaddfedefededccdefgbccfcdegbedgdadegdacgagdegfgeacadfacgcfgbdfagafededfbceefagdfbdagdfedfbdgcddedfbegebecdfbfaefbgdfbggcebcdfcadecfgdfddbeafgdfdggaccddfebbdgbgdfebfaeeedfeeadcdgdfeffcbfadfegcfbeadfgbadffcdgaaffefcdgacaefgedgacdgeagdgafccgdddgbaeeegcdgbcfcebgdgbecgbfcdgcddbcegdgcfeadfcdgdceafcfdgdefcgbadgeafdeebdgefccfcbdgfcgeccadgfdedddadgffbeacedgfgdacebdggcdbdcedggdfbabfdggdgaceadggfeabfaeaagebegfeabfgeaffeacefdbgfeadefdefceadfaeffeeadfdeafgeadfefgcbeaebaeggfeagffebebebbagefdgebbeffgbdebbgcdegdebbggbcdgebcbgeffcebccegfceebcddfgddebcfefcbgebcgdaeffebdccggceebdefcbffebdfbbdggebeefeeaeebefgaageebegfceaeebfbdfdcgebfdccggbebfddcgecebfeegbbeebgaagfdfebgcbgefbebgcefadfebgecdageecbceggbeecbefgdcdeccdfcecgeccefgddbeccfcggcbeccfddfececcfggbaeeccgcefafecdbdgedeecdfddfebecdgbagdfecdgcedagecebddbggecebgbgfbecedcafffecedgdfadecefgdcaeeceggeaaeecfdbgdececffeabdgecfgbffacecfgbgcbdecgbffdccecgcaefcfecgddfagbecgfdagccecgfgbcaeedbfdbfeeedccgcffbedcfdecgbeddeafcdgeddebggadeddecfafeeddgdgaafedebgfagbededgbebeedeeaagdgedeefbgadedefdgbdbedfabgdfdedfbfafgbedfcdgbagedfdagccfedfdcfcfbedffdagaeedffeeeabedfgcbfeaedfgdcagbedgacagfeedgaeeecdedgcfeebbedgeabgecedgeafbdeedggaceebedggbceccedggedaeaeeacfgedceeacggbedeeaegagddeeafececfeebagdddgeebbeecgeeebccgfceeebebeedfeebgbbgfceebgcfbcfeebgdebfceeccfefaeeeccgegbbeecefgcadeecgdgbdbeedcaefeeeedcbegddeedggafbbeeebggeabeeeeagacgeeeefagdaeeefacefceeegdacedeeffacefbeeffbbdfceeffecagaeefgaaagfeefggbacceegaebdgceegagebbeeegcadgdceegedbddceegfabfebefaaffgcdefagdddddefbbfegbdefbbgdgbdefbcecdefefbcedffbefbdgfaagefcedcdbgefeeebfdaeffagedcbeffccfagbeffceagdbefgadbegbefgdcbfccefgebbcgbefgecafccegadcgeafegaecgbgbegbacfefdegbbagfgbegbeeabgeegbfbbggaegbffeafaegbgfafbcegcaegdfaegcbgebecegccgccfbegcefbaeeegcgdbbedegcgdcbagegdaedeceegeaadcgfegedefbdaegedfaebdegfaaaggdegfafaageegfbfadbfegfcbcfcdeggaegbdaeggbgdabdfaafeffcefaagfgcbffabgdddeffacbgbgeffacdefafgfacdgcfedfadfccdegfadgbfbeffaedbbgfffaeddafgefafdcdgagfafdegcfafafgfcedafagagdgeafagddedbffagedccgcfbabgcgfefbadfcgeefbbaffcfgfbbbceggefbbdfdgagfbbdggagcfbbgcgcdefbcaageggfbccgaefffbcdbegeefbcefdgccfbdadgcegfbddeffccfbdefddagfbdfbcggbfbeaeagegfbebdgbfefbebfdgebfbegbdbgdfbegfcbagfbfbefecdfbfcbbfegfbfcebfedfbfdaeddgfbffdfdbcfbfgbagcefbfgdgbadfbfgecbgafbgdaefddfbgdgddcbfbgeafcedfbgffbfbbfbggdcacffcaedgdfcfcaeedfedfcaegcceffcageabggfcbedfeddfcbgbbgdffccfgdfcafccgbecfdfccgeefacfcdabcgfgfcdbgdbgdfcdcgfbbffcdgfaeebfcecaegbgfceceeaeffcecgaddffceeaecdgfceebgdbefcefdagbefcefdbbdgfcegabaggfcegcacdgfcfacafgffcfbgagfafcfdaaegffcffadbdgfcffgadccfcgbgdecbfcgccfdcdfcgcdfadefcgdceccefcgecbefbfcgedbbcgfdaccfgcffdaebdfdgfdagfbebffdbcgfddcfdbdeeefbfdbgcdccgfdcddbgbgfdcfdagbffdcfedcddfdcgdbeecfddabgcegfddbgfaedfddbgggaafddcebdfefdddafafgfdeacbgfefdeacdbggfdebcggbcfdebedddefdedbgcddfdeecbgcdfdefcfaddfdefdgdbafdfaafgcefdfbdcecffdfcafdgbfdfecccfcfdffaddcefdgbbdecffdgfcbaeefdgfebddafdggaaefbfeaagfbdgfeadgfcfafeafgbfccfebbbfdfffebdgfbebfebecbdgefebfaccfgfeccfccdffecddadgefecdffdbcfecfcegbbfedebebdffedfdffaafedgcdcebfeeacefagfeebgafebfeeddceebfeegebbebfefafbebffefcagcecfefdcaedefegaaddfefegabfbcgfegaefeacfegcacafgfegdcddeafeggbecbbffbcbgcfdffbcebgceffbcgfagaffbdcbeefffbedgfbaffbfcaaggffccbdeeeffccgfdcaffcefbfdaffcfabedfffcfcaecfffcfceagbffdaaggebffdadccgeffdcfbdagffdcgbddcffdcgefaaffddaegccffdfcadgbffdfebdeaffeaddegaffeeeccaefffbgbbecfffdagbebfffddfcbbfffgabcecffgadefbbffgcdaaefffggabacffgaagbdfefgaddagdefgadefebcfgafceccefgagebcagfgbagbedefgbbfdfdbfgbccdffbfgbdfbdagfgbefafeafgbgbdcagfgbgfdaccfgcdbdceefgcebedcdfgdagaefbfgdbgcadefgdcgbfcafgeageabefgebfeafafgfebgabcgabcaegfggabegbagggabegffcbgabfdgagdgabfeggacgabffaedggabgefbfcgaccgeeecgacgdcegbgacgdfacggadfdgdaegaebfeceegaeccfgdcgaecefaefgaegdabgegafbdfgdbgafbeffccgafccdbfggafdfdcecgafdgdbecgafeaeecfgagafeecdgagbbaegggagbdcgfbgagbfegbbgagdegcbcgagfgaafcgbafeadgfgbagdeaeggbbfgcdaggbbgeebbggbcdffedbgbcdggfbagbcfbdefdgbcgebcfdgbcgfgcbbgbcggcdccgbdafbeeggbdbebffegbddagfgagbdeaefdegbdfcddbggbdgdagafgbecaggdcgbeccdfbggbecdegdbgbeegdeacgbegafeeagbegcgeabgbfbgddfagbfcfbdbggbfebeebegbfefebbdgbgbbbgdfgbgbcecdfgbgbcggcagbgbdcgdcgbgefbfcagbggdcbfagcaddeggagcadegcdegcaefagcfgcbaceegfgcbefaggagcbgacfcggcccedebggcccfdgdbgccededaggcceefddbgcdccfeaggcdedgafbgcdegaafegcdfbedecgceafdfcdgcebggadcgcecbffbegceedffabgceegbbcegcfebcaeggcffafcfagcgbedbcfgcgdabdfegcgebafbfgdagadefdgdbdddbffgdbgcbedegdbgfeeabgdcbbbffggdcbcdeefgdccgbceegdceeeafcgdceegeabgdcfccgccgdcgcecebgdddeddafgddegbddbgdeaafcffgdecfbagdgdedbbdfegdedcececgdefcagccgdeffcbdbgdfadfgcagdfbegbbdgdfcebcedgdfdbfafcgdfeabbgegdgbaeeaggdgbeagdbgdgcbfbddgdgfdcbbdgeaddcgcegeafdcdbggecbedgccgecdcbgbfgecgdfcbbgedbbceefgedcfdebcgeddaafefgedfebgabgeeabfddegeeafbebfgeefbdafcgefcdgdabgefdbgaafgefeagccbgeffbcaedgegbcaefcgegcacceegegcdbebdgegddbagbgegebaedcgfacgdeeagfagbgaaggfagddecbgfagebfdagfbbegafcgfbcbdcffgfbcgddaegfbdaefgagfbeebgdagfcbdgbaggfcbgeaecgfcfbcfaegfdbbcfcfgfdbgfabdgfdceefbagfdecbcedgfdfaccgbgfeafddeagfecfadafgfeebbfeagfegccacdgffaefacdgfgbaddcegfgbccebdgfgccbcddgfgccdaaggfgddaedaggaagafbgggabbfcdgggaeafcbgggaecedfaggagdbfbcggbedcdfaggbgafaagggbgfaecaggcaccefdggcbfbgadggcedddadggdaagdecggdccagafggddbdbcfggdgbddcaggeacedebggeafebbdggecbdcagggeecdbdbggefaeebagggabbfebgggabdeeagggbcfdabaacfgdgefaagggafdfabbbfgggfabdaaabaabdgffcefabecgfcfgabefggeebabeggccgeabfcddfggabgfegafeabggeggbbacaeegfegacagfgecgaccgcgffdacdgcagggaceeeefeeacegfafefacfcfcgfeacfegecgcacfgfedgaacgdfcegdacgedbgdgacgedbgefacggfgbcdadbfecgffadbgfdggbadccfgdffadcedegdgaddebefgfaddeffdeeaddffcefeadebggfbfadedfffagadeegfcgbadfeaggfcadfffgfcaadgdbfcgfadgdecgcfaebcfggbgaeddcfgeeaedfggbbfaedggaecgaeeegbcegaefbfeefdaefcefegbaefdggfbbaegdgaefdafadgcgefafafgggbcafagfgbfdafbecggdeafdcfdfcgafeeafdffafegffabfaffbbfeegaffbfgdbfafffefecbafgcdeefcafggbfcddagadgfdgcagbecfcfgagbgdebgeagbgecdfeagcgbefdeagdcfegafagddfdgbeagddgedagagdecegecagdgcbfdfageadbgfgageaegffbageafgceeagfbgcgebagfdfgaddagffcfagcagfgabegdaggbbgdgcaggcfdecdaggeafdedaggeddgbcaggffdecabaddffegebaffcddggbaffdfgbfbagaeegffbagbefgdfbagfdeffcbbabfggfgbbaeggegdbbcgffefcbbcggdfgbbbdgeefgbbbefffecebbegdegddbbfebfegebbffefeagbbgebgfdebbgegddfcbcafgbffgbcagbfffgbcbcgdggebccgfgbcgbcdfdggcdbcdgdcfgdbcfdcgddgbcgecfbgebcgefbggabcgfbgegabdcbegffebddcdegefbdeffbbfgbdeggdfcbbdggadggabeaefdgeebeafagfgebeafbgfdgbebddegdgbedaggebgbeddfdegcbedefcecgbedggdfdabeecgcffcbeefagbegbeefgcdecbefcebggcbefffeabgbegaegffabegagagcgbegceafefbegddadgfbegeccdefbegeccfbgbegfbgdbebfaddfeffbfaeefgfbbfaegfebfbfbdgdgddbfcgcdcffbfdagdcfgbfddgcffbbfdfeeeebbfebceggcbfefdfcagbfefgdccdbfegeaagfbffedcedebfffdceddbfgedbdfdbfggcfaagbgadcgfcgbgaegcffcbgaggbebgbgbegfcfbbgcddffddbgceddecgbgcgagfebbgdadffeebgddbdeegbgdecdefdbgdgfagdbbgeafecefbgegccecebgfccbegebgfddbbgfbgfdgdbagbgfeeagfabgfgbfbfbbgfgfccdbbggccgbfcbggceddcebggcgeaecbggdgbeeabggefcabgbgggdgbcacabgfdeffcadeeeeegcadefefeecafefgdcecagfaeggccbbegfefdcbcdgfgcecbcfdegeecbcfeffcfcbcgfdgddcbdegffafcbdfbfcggcbecfcgdgcbfegfcddcbffecgcecbgddfgcdcbgdgffdacbgffcffacbggddcdfcbggedccfcbggefbfbccbffagegcccaggcfgcccbgfbggccdefcfdfccdgfcddfccecgedgcccedbgbggccfbgdfedccfegdgcbccfgagddeccfgcgdcdccgabfggdccgcagedgccgcbdegfccgcffafeccgfbfdbgcdadfgcffcdagcfegdcdcdggfaecdcgagdefcdcgecegccdcgfdeagcddcefcffcddefcgfbcddfedagfcdeacfgdgcdebfecegcdecbegefcdegagdbgcdeggaagecdfcfgceccdfdcebgfcdfgcfgcacdfgefacecdgabfgdfcdgcdffcdcdgcegebdcdgefdceccdgfgagdacebffeebfceccfafgfcecdfggbccecfdfgeacecfdgbdfcecffdfcdcedcfagefceefeageccefcegagccefcgddfbcefdffaedcefgcdcdecegbdgccfcfbcdffgccfbdfdcffcfbedcgfdcfcbcfegecfcgdbcffcfcgdgaedcfdefeedbcfdfcdgafcfedffacfcfeeccfdecfeffgabdcfefgdaddcfegbfedbcffbcfcgdcffcgabffcffdfgacdcfgacgceecfgbcdfbgcfgccecfdcfgceeadfcfgdcfbcfcfgfcbgbdcgabgcfdgcgageadgecgbbfecegcgbefaggbcgbfecdcgcgbgcdgbecgbgfadcgcgcadecggcgcaffcefcgcccggdccgccefbdgcgcdefcdecgcegafeccgcfefcbecgcgddadgcgcgfbecdcgdabfdfgcgdccebgfcgdcdbeffcgdcggcdbcgddbgddecgdgcaedfcgedbggcbcgeddbfcfcgedddffacgegddbgacgfcadcgfcgfddfcdccgfdgcedacgfebaedgcgfeeecaecgfegabcfcggaebfedcggcdececcggcfbbcgdabdegggcdadageegfdaebfgfbgdaecegbfgdaeedgfdddaeeegddedaefeedcgdaeffcgfbdafdfdegcdagaefggbdagegfeaddaggafgdcdbaegcgfedbbbggdegdbcegddefdbcfdfcegdbdeadgfgdbedffebfdbeedffdddbfgcegaedbgaffdeedbgbbgcfgdbgbfgfccdbggeccgbdcafdgegcdcbgfgbcfdccfccgfedcdcdfgdedcebfgbdgdcebgfagedceffbbffdcfafgeagdcgdeebdfdcgecgbcfdcgfagbgcdcggfedcaddadeeegeddagbggddddagdfgbeddbffeefbddbgedededdbggfbbfddcddecfgddcfdfddeddcgagdfddddaefgcfdddbfffecddddafdgfdddgcacggdddggdeadddfadfdfeddfaeeddgddffdaecgddfgbbffcddgdeagbfddgeeffabdeafdgdfcdeagdebegdeagecfdedebfgedbedebgdaggcdebggfddadedafaggededgcfeeadeefcacfgdeefcbdfedeffbegaddegdbcfcfdegfbececdfafbfgecdfbcfcfgcdfbecdbggdfbegefcbdfbfbgdfcdfbgcdbegdfcdacggedfdbgfdafdfdccdfgcdfdfbfdagdfeadffagdfedcegccdfeecdbgddfeffecdadffbdaggcdffbefgcadffddeedbdffecfdaedffgafadedfgcdgcaedgafeddeddgbagefagdgbefbcgddgbgbefafdgcbbfgfcdgdcbdeefdgdgabegcdgdgcgabedgeaefecddgedceadgdgedcfcgadgeefdbbedgefacdeedgefcacdgdgfafecgadgfbgbddddgfdfebdbdgffdagdadggadfaeedggafeacfdggcbdeecdggcdeeaddggcdfbafeabccfggfeacdegdfeeacffafffeadfaggcfeadfgdceeeaeccfgfdeaedcfcgfeaeegffcbeaeffafeeeaegaedffeafcfegdceafddfcfeeafebgagfeafgdafcgeafgeafdeeagaegefcebaefbgegebagegeagebbbeeggeebbdgeefdebbfbdfgfebbgggbddebdaffgcfebdggeafcebedbgggaebeddefbgebefeeeebebfeafgecebfedfcbgebgccbgfeebgebecfeecagegebeecbdgbffeecbfafffeecbgbfgddeccggdeaeecdeddgbfececegfccecegfadedecfacgfbgecfgedfacecgagegadecgdcgedbecgebbfcgedbdfdgecedbeadffgedbggbffaedceafbggeddabdfggedebgfcbfededbcfgdedeeefabgedefabeegedeffdfbbedefgbbcfedfbagcgeedfbefccfedfbfagcfedfcafdgdedfccfdbgedfdcbdffedfgebgacedgbegabgedgccfbdfedgdafgbdedgddeddcedgfceafceeabgdgdeeeacegefceeacgcgbgeeadgegdbeeaegfbcfeebbgefceeebbggdageebdgcegbeebgafgfaeebgccdfeeecageegbeecfbeeedeecggaebeeedbgdbfeeeebedcgdeeecfeedbeeecgadeeeeefcgcaeeeefdebddeefacfgafeefbdeebfeefdcdfafeeffcaedeeeffdaceeeefffbcfaeegbffafbeegcaegfaeegcffbeaeegefdaafeeggbdbceefaafgebgefbcgbecgefbecgaefefbfdacgfefbfgdcebefcbbcfgfefcbbegfdefcbfgafdefceebbffefcegccfbefcfaceefefcffbdfbefcgadcfeefdaafdgfefdacffedefdbdbgfdefddcfdddefddeacgeefdfdgabeefdgddfcaefecbbffeefedaeffbefefecbfbefegdccafeffceeeadeffdafadgeffdddbfceffdgeaaeefffbadgceffgdcbebefgcffeaaefgeaecddefgebfcccefgeceaddegafbgfccegagadggaegagafdbgegbbcedffegbbeedgcegbcfdceeegcbbecgfegcceacgfegcdgcbedegcebcecgegcgdbfeaegdagdfdbegdcdagcfegddbdgbeegdedebbfegdgabcdgegeafbgafegebbedcgegedeebbeegfbeeedaegfbgabcgegffbacdfeggbaefafeggdbdcgafabgcgafgfabgfdcfefacefgebefacgbgfbffadfffdebfadfgagecfadgagbgefadgcggdafaeacffegfaeadegfefaecgcdgdfaeefbddgfaegbceeffafbfdgcefafcdgcfdfafcfagdffafdgeagcfagbccgfefagceacggfagedadgefagfabgdffagfgfaeafaggdagdcfbagebfgdfbaggcgfafbbgbecgffbbgfbeeefbcegccfefbcfbcggdfbcfbgfagfbdbgbeegfbdegcbeffbdfedgccfbdfgfecafbdgdaffdfbdgdebgcfbdggbagdfbecgfbcffbeefedfafbfgbedecfbfgfbafdfbgacffbgfbgcdebeffbgddadgefcaegecgcfcagadefgfcagfcdfdfcbafgbgffcbcefefdfcbegdagefccbggcedfccgecaegfcdaeedgefcdfgbecdfcdgbgacgfceagfcbgfcebbdgdgfcebecgcffcecdedfdfcefadedffceggebcbfcfccebegfcfddfdbefcfdgbcfcfcfecegcbfcfefbcdefcgedacdgfcgfagcebfcgfcbgccfcgfccfaefdbagegagfdcccegbgfdcdfdffafdceegbddfdcegfbfafdddfeeeafdddgbeecfddffcddcfddgagcddfdebbcdggfdebcgdfcfdebffbbgfdecdgfbcfdecgdbdefdeedbagffdegbgacefdfabegdefdfcddbgdfdffgbbdcfdfgfaafcfdgcbbffdfeaeebdegfeafeecbgfeagfgdcafebabggcgfebbeceegfebdddbgffecceeeecfecddgcgafeceggaeafecgeeagafeddfbbeffedegeadcfedfaegdbfedgcdafdfedgeagdafeeaggdadfeecfcbgcfeedegadcfefabgecefefbadggbfefbdaeeffefcaffcdfefgaccfcfegbcbcgefegbgbcagfegececdbffaccgeedffacgefdbffadagcffffbaecgcgffbafddefffbdbgcdfffbecbgfcffbfagdbfffcaeedcgffccbegbfffcegcdeaffcfadfbfffdadebgeffdcdcfgaffdcdegbcffdddeacgffeaebddgffeaefgacffegceaebfffdcccgbffffccgabffffddbaefffgabdceffgddcdbdffgdgcbadffgecafeafgaabcgfgfgabfeaegfgacedgfafgaebcefefgagadebgfgbaagffdfgbbgdgcbfgbcedddefgbebcffcfgcbfcfaffgcebeagdfgdagbfbefgdecdfdafgdedfbdbfgdfdbcgafgeabfgeafgebcadgefgfbeaddefgfcfddbbfgffaadbgfgfgfadbafggaedfcafggbbcbdgfggccbcgbfggcgbdacfggebbfdagaaeggbeegaagecedggaagfaegegabedegbggacgbfffbgadcgeagegaddfdafggaeafddgegaeccgffbgaeddfbgdgaefbcggbgaefddbfegaefffbafgafbfeeecgafdffedagaffdbdeegagefbfaegagfcdgadgbacffdefgbadfgfcdgbaegdbeggbbcggcedgbcdfbgdegbcebfddggbcefccgdgbcfbggccgbdgcfdbegbecfebgcgbegcbcgdgbegddccegbfafacgggbfdaeecggbgbegbbfgbgdebgbdgbgeebedcgbgeefbccgcacdffgcgcafcbfffgcbdfagfdgcbegfcdcgccfbgeebgcdadffbggcddgacgdgcdgcabgfgcdgdbcdfgcdgdfceagcdggacgagcebbgfbfgcedfbebfgcfaafbgggcfaeggcagcfagcebfgcfbcfddegcfdcbegcgcfebcagfgcfeefbdbgcfegcbafgcfgaeadfgdaedgdcegdbccfagggdbffcfccgdbfgbfaegdbgeceebgdcgecbedgddafgeaegddcccedggddgaefdbgdeaffbfcgdebgcccfgdeeccgeagdegfbcccgdeggaafbgdfaefcaggdfedbgbcgdffecaecgdfgbccecgdgaegbdcgdgcgaeccgdgddbefagdgdfbacfgdgeaafgbgeaaefdfegeacfecgcgeaeebeeegebaccfgfgebcaegeegebdbddgegebdcaegfgebefcfeagebgfaeafgeccccedggeccebgfbgecebfagdgecfaeccggecgaagedgecgbcaffgecgcfacegecgdbdaggedbgeacfgeddegbccgedecbebggedegbbcegeebgfbbdgeefeebcbgefabfgaegefagbadggefbcaeefgefdaccgdgefdacddfgefdbaddggefeaccdfgeffbgbadgefgcdaebgegacgedagfaagefdcgfabfgdbegfaeadgdegfaedefdbgfaedegcbgfbafeddegfbcbgcfdgfbeagfaegfbfaggacgfbfcfgbagfcdbdfddgfdafgeacgfdcbbgedgfddeddccgfdedbdfbgfdedfabegfdfaefcbgffbgbebcgffcbcccggffddccfagffdfcbdbgffeedccagfgbcfbafgfgccedbcgfgdacagdggaagbefdggagcbebfggbcdfaeeggbdddgcbggbgbaafgggccbcffcggcceegbaggdbcgadeggdcaaegeggdcfbddcggdgdaddbggebcafgbggebefeabggfaccdfcggfafbebdggfcfddabggfdbeacegggadbcgbgggeaafbdaacfeggfeaafdcgffgabgdgdffdabgfgcfdeabgfggcceacdfdggbgaceggbgbgacfgfdddfacgdfgfbeacggaeeegadbgeedfgadcafgfgfadcfegedfaddeegffcaddfgffcdaddgfbggcadececfggadecegegdadecfeffeadeffccfgadegaggfcadegbgegcadfaeggeeadgececgfadggdeffaaebgcfgeeaecbegefgaecffaffgaedcgcfffaedfbgffdaedfefegbaedgedcgeaedggddedaeebefcggaeedfefcfaefbcggdfaefgdedgbaefgffecbaegagfgdcaegecebfgaeggbfdfcaeggebfagafagecgdgafddbgdgfafegcefceaffafffedaffdfgdebafgaegddfafgccffedafgdffedbafgdgcbgdafgffdaeeafgfgcbbgagaeddffgagagdfdgdagbdfdfgdagbecgegdagbggdgdbagcfegbfdagdagggafagddgedfcagdfddffcagdffebcgagegddgbdageggccagagfbgbfeeagfbgfdfbagfcgedddagffgfebaagfgceccfagfgdeddcagfgfageaagfgffcdaaggbagedgaggdefdafaggdfdedcaggeegceaaggfdafcfbadgfgefcbaegbgcggbafbfgdfgbafbgefgebagfeddegbagfffegabbcdggfeebbdegeedgbbggabgfgbccgcgdffbcdfgfgeabcdgefecfbcfgdegfabcfgfgbecbcgagcfegbcgfcggdbbcgfgbdeebdccgcfgfbddeefggabdebgdgeebdegdcfgcbdfagdeffbdfcgfgbdbdfdfgbdfbebgdgddfbebgffeecbecefgecebecfgdcdgbedagdfegbedbggedebedffeegabedggeebdbeeedcgfdbeegbgbgdbefcfgcfcbefdgdagebefgbcedgbegbfdfgbbegbgeebfbfagfdddgbfbfcfefebfccdfcggbfceffffabfcgdedcgbfcgfdecebfdddedffbfdfegfdabfdggaddfbfefbdcgfbfeffegbbbffbffgeabfffafcdgbfffggabdbfgbcfdefbfgdgbecebfggdagafbgabegdfgbgafaegffbgbdddggdbgbfcgbegbgdcegeddbgdffcgeabgedbddfgbgedgabfgbgeeeedagbgeefbedebgefgadfcbgegecagdbgegeebgabgfbgfcgabgfggcddabggfbfaeebggffcfbbbgggcagdccacefeefgcadfedgefcaedeefffcafdgcgdfcafgffdcecagddfgdecagggbagfcbbggedgdcbcdfgfgccbcgcggedcbdddffffcbdgbcggfcbefdcfffcbegcbggecbfedfcffcbfefdbfgcbfggacffcbgcfcfgdcbgedbgefccacgfgefcccffgcfdccdacggfgccdgefdedccdgfcgagcceefdgceccfgdgcddccgagffagccgedgdeccdagefgeccdbcgbggfcdeccgfeecdefaggcecdegaeggbcdfbgfbdgcdfefcgbecdffgceafcdfgdccfecdgcfbcfgceageefcfcebagcgfgceceffebfcecgcgffacedebgegccedfgbfbfceeceecgeceefbdgdeceefecafgcefcgfcceceffdcefccefggbfdacegcbgddfcegedcfgacegfbedbgcfaedegdfcfafggdcdcfcdcfcgfcfcffdgcccfcgfddcecfddbfeefcfdebdegecfdeecdgdcfdfeggabcfeaeffcfcfecdggaecfecfggaccfeggdcbdcffaefeedcffcgageccffdfgddacffedgcebcfffbfcedcffgbbffccgaagbggfcgacecgegcgacedefgcgaggcdfccgbaggebgcgbbfdggccgbdcdegfcgbgcbfdgcgbgcefagcgcafegedcgcagdfdfcgcffefdacgcgdfbcfcgcggfbeacgdebgddecgdfbgcfccgeegbecdcgeggbdcccgfagbggacgfbagfgbcgfbedgebcgfcaecfgcgfcdfdfbcgfcgceebcgfdccgfbcgfddaggbcggbeggabcggdefdcbcggfdagbddabdfggdfdacfbgdggdadefagfgdaeffffcddafccfdggdafcegdfedafcgdbggdafdfeaggdagcggfaedageeebgedbbffedegdbbfgdfgcdbbgfddffdbcgeebgfdbddegcffdbdffdgdddbegbeefedbfedfgcddbfffdffadbgdcfdfedbgeggacedbgfdegccdcaggbdfgdccggdeecdcdcfegdedcdgefccfdcebffbgfdcfeggcccdcffefcecdcgggaecdddagegbgdddaggfbgcddaggfcdeddcceegeedddcegdfddddgbfefcddedfeebfddeeefefaddfefgeacddffgefabddfgbbdgeddgbfegccddgbgffbcddgccggaeddgcfdfbeddgefcgadddgfcbaggdeafdgebgdeafggfdadebcgecgedebegedgbdebgfddbgdedacfggddedaeeffededbegddfdedcgfaefdedgegadddeeebdcgfdeeedcecgdefecbfcgdefgebbeedegaegafedegafdcgddegcfcdgbdfadbgeffdfadcfffedfaegagdfdfbcbggfddfbdedfdfdfbffbgdddfcageedfdfcbfbegfdfcceecegdfccfebegdfccgaeffdfceceggadfdageededfdfgbbgcdfdgbafgddfdgccfbfdfdgcdgccdfeaggafddfebadgegdfecfbfgbdfecgbeeddfeedcfdddfefdcaffdffaefbgddffbbeffddffceafeedffedeeccdfffbbgfbdfgaafffddfgafeagddfgcfaeeddfgfaeddddfgfcadfddfggddabfdgacggcdedgaffbecgdgbeddcegdgbfaggdcdgbffeddcdgcbeecgedgccefdcfdgcdddddgdgcecggbcdgdbfbdegdgdcaggecdgdebfdcfdgdecgeccdgdfgbbeddgedfecdcdgeeadegcdgfdbfcbgdgfgeabbgdggaecdgcdggbbddefdggdecddcdggfdccafdgggecafaeaagbfgegeaaggcegeeacedggcfeaddcgfefeaddggddeeadgefeddeaeeagegeeaefbegdfeaeggbdfdeafccefegeaffgcbfeeafgddbegeafggbceeeagcffcgceagcggadfebaegdgfdebcgcgafgebdbgggafebeffbeeeebfadgedgebfgfdcbfebgbfeafgebgfbgbgcebgfgfcbcecaefcgfeecbdcegffecbefcgeeecbgecggbeccceeeegeccfaeegfeccfbffgceccgedagfecdecddfgecdegfbcfecdffdcgcecdgccgedececdfaggecefgcefaecfcgdfbeecfdbfgceecfefcfebecffgeebbecgaaeeggecgbggddbecggacgddedacdfgefedbfggcfaedbgcecegedbggegcaedcddfbgfeddefffadedfcgbgcdedffaeegbedgbaggfbedgcfaffcedgeedcfbeeaedgbffeeaeedfgceeagbcgefeeccegeddeecfcdfdeeecffgaageedcgagbgeedeeddbgeedfdbddgeeededeeceeeeagfafeeeeebgcdeeeegcecceeegfcagbeefaggdaeeefcgabffeeffececceefgabgageegadefgaeegaggdadeegbbcfdgeegccbgcfefabdeggdefadffdgbefadgfadgefafgfadeefagcgdbfefagecgafefbbfegddefbgbeddfefcbfedfdefccdgaegefcdegfbcefceaefeeefcfbgdceefcfgagbdefcgdedfaefdbfdbgeefefebfdbeffagdcedeffcfcfaeeffcgdfbbeffeeefabefgdeecdbefgeafcagefgffdcbbegagdcbffegagdcbgeegbcgfcfbegcdgfcaeegcfefaddegdaggabgegdbdbgfdegdgcdcagegecbbgfdegedabegeegeddcdbgegefdeaddegegacfafegfadcedfegfaeedddegfaegcdcegffaceageggagfaafeggcddddcfabafgfgefabfeegedfadfagefefadffeefbfadgdbegefaeadggcgfaeeaggfcfaeeddgbgfaefgccfdfafdgbbgffafeeeecefaffebefdfafgcebeffagbcegcgfagcdefdefagdfbegcfagfeeagcfagggabfdfbafefedffbcbggbgefbdbfdgdffbdeagdfffbdecdefffbdfacffgfbdggdgacfbefggadcfbfcceegdfbfdcecfffbfedcfbgfbgbefbeffbgfcgdbdfbgfdgfbafbggagbdefbgggbagbfcaebggfdfcbdffgaffccggcfaefcdebggaffcdeedagffcdegeddcfcdffdbeefcdfgfdcbfcebgbgbgfcedeafeffcedgfabgfcedgggaafceegbeecfceffdcgafcefgbaeffcfefbddefcfggadaffcgaeegaffcgcadfdgfcgcccdegfcgedcgdbfdadgcffdfdbacfeggfdbddddgffdbdfgdagfdbeebgcgfdbfdeeedfdbfgaffcfdbgaefeefdbgafdgdfdbgbbgdgfdcagagegfdccbfgfdfdcfecbfffddcdgecefddcgdceefddfgbbcgfddfggbcbfddgccgdcfddgdddbffdedfcgdbfdeeaeefdfdfbfcgaffdfccbgcgfdfdacgcgfdfgccdfbfdgaebegdfdgbagdgcfdgcddegafeaadggdffeaccgdegfeafdggcbfeaffbgcefeagbefbgfeageeefafebdagcgffebdegdbffecdcdefefecddbfdgfeceacffffecfbgdbffecfceceefedcceefdfedfeccdefedgabffdfeecbcdfgfeeeeafecfeeeeebbffeeefecaefefacbgeffefbbgbdgfefdecgdafefeaaefffeffefbcbfefgbaedefefgdfcacfefgedbbdfegbgbgadfegedbedcfegfbecfaffacgefafffadgbfgbffbaeefdfffbagdecgffbccfggaffbdffgacffbeedcfdffbfcgagcffcagcbgfffcgaegbdffdagbgecffdcaecfgffdceddfcffdcgcagdffdfcebedffdgdefbaffdgeecadffebddfceffebdfbgcffebebggafffaafgagfffefdeabffgbaffebffgbcgcafffgcbfebdfgabeeaggfgacffdcefgadaegdffgagcfafdfgagecdbffgaggbeeafgbafageffgbcdffaffgbddcbfgfgbeddffafgbfccddffgbfeaffbfgbgddafdfgcbaedgffgcbbbgfffgcebdgfafgceccfddfgcfadgfafgcfecdfafgcgeadfbfgdafbecgfgdfbbbegfgdfbdfaefgebdagcffgebfdddcfgecfbedcfgeddbdbgfgeecebagfgeedbfeafgfbegacdfgfccfccdfgffbgcbbfggabcfedfggacfbbgfggcaafdffggdcabgdgaadffdffgabgdcdgfgacdggdgagacfeeegbgacfegdgagadedeagggadfgdfbdgaefecedegafbfdcffgafbgeccggafddffdcgafefddddgafgcefccgagacdfffgagaddfdggagbegbcggagddcfdegagecffaegagefbdcfgbafggdcdgbbgdffbegbbgggagagbcagfagggbcedebfggbcegafgcgbdebfgaggbdfgfbdcgbeafdedggbedbgdfdgbeefffcagbefbafeggbegddecdgbfbaggfcgbfcffdbegbfdcfdfcgbggaddbggbggfagacgcacbggfegcacgfgdcgcbegbggagcbffgbgagcbggafaggcbggcgcbgccafedffgcccggdcdgccedcedggccgffcaegcdbgbdeggcdbggcddgcdcfbgfcgcdcgbgbfgcecbefdfgceefcbfdgcfagbgaggcfagedbfgcfcgdfbcgcgaeecgcgcgdfeacegcgeagfbcgcggcageagdaagdegegdadfgafegdafeefbegdbagcggcgdbdfbffdgdbfgcbgcgdbgcegaegdbggfeabgdcacgfgcgdcbefcgdgdcbgbfcggddefeeadgdedcgdbegdfabfbfggdfafdgdbgdfcaedgdgdfdfeacegdffbfcafgdfgcaffagdfgeddacgdgabefdegdgccefbdgdgdgadfagdgfdagcbgeaeceefdgeagafffbgeagdgabggebdaffeegebdccffegebgeddebgeccfccfegecdbgeddgedadefdegedbdcgedgedccagefgeddebegbgedecccfegedeebbfegedgbagcegeedafffageeegcaaggeefaefdbgeegdecbcgefccecgbgefeafagcgegadgbfbgegbbefafgegcfacedgegeecbcdgfabacggggfadgeddcgfaegddbegfbcdgeafgfbffcbedgfcbaffeegfcbagddggfcbddagggfccagebggfccbdedggfcefefabgfcgcaagfgfdaegbbggfdbfccdfgfdccffccgfdcecefbgfddcdbfegfdeeccfbgfdfadagegfeaddeedgfebgabdggfececefagfecgacedgfeddedaegffbccfddgffdedaaggffebbffagffegbcadgfgaccefcgfgbabgedgfgbgcbfagfggdaagaggbagbecgggbaggbagggbbbedgeggbbecgfbggbcfgcccggbdbcfcgggbeaggadggbfefbdbggcdebbdgggcebbeeeggcecdcbgggcfdbdddggcffaddcggdgabbfeggdgbgccaggeaaecffggeadgdaeggfecadfbggfefgaaagggaebdcegggbaeefagggcabgcdgggdbbdagggggadcadaaacbbadaaaeaabcaacbeaaaaaddeggfgaadgffdfgaagfddfgfabaaaagaabaaafbaabbabbdaabddegggeabefdegffabfeffgcfabgfgdffcacaabbcbacdggffagaceeegcfgacfegdffdacgdcegffacgefdcgfadcfgbgegadcggagegaddfdggfcaddfecgegadedgegbgadeedeefgadgdgcggbadggdfcdfaeadaaaaaedcedgfgaedegdgedaedgfgfaeaedggbffdaedgggcfbaeecfggbfaeegeedgcaefcgfcdgaefdfaggeaeffdgcgcaefffeffaaegdefecfaegfacfgfaeggabeggaeggaefgcafaaaaacafcdffgbgafceggbgdafecgfbffafeggcceeaffacgdggaffccdffgaffdfgbdfafgcecggcafgcfdgfbafgdcfdgdafgffgdcbagagcfegeagagffbffagccgedgeagcdeeeffageagegcfagefcgbefagfebeedgagffbfedeagfgcfcfcaggdbegcfaggeeefeaaggfeadgdbaacbadabaagggfdgbabbbbacbbbdaaabbbccaababbebdgfggbbegefgfbbbffgggbcbbgegfdfcbcaggedgfbcbgagggfbcedegdegbcefebfgfbcegddgeebcfbfbgggbcfceedggbcfefbggdbcffgeceebcgbcgfffbcgefagfebcgfggccdbdagefgdfbdbaababbdcfefffdbddgdgbegbdegefeagbdffdffbfbdffebggcbdgcgcdgebdgeefeddbdgfccdgfbdggbebfgbdgggfcccbebfedggdbebfggagebecddegegbecfceefgbecfedfgdbedaefffgbeeedcgfebefdgecdfbefeeceefbefegdfdcbegegdcbgbfagggeafbfbcfgdegbfbefbfgfbfbgdgcefbfceefgddbfceggbgcbfdfgfaeebfdggebdebfebeggfbbfeddffgbbfeebgffcbfeegdegabfefeadfgbfffcafegbfffedefbbffgdaggbbfgeagfbfbfgecccfgbfggaegfabgagaegegbgbcffeefbgbggdccgbgcdggbgcbgdedgceebgdfbfggabgdfcafgfbgecaefgfbgecfcfcgbgefggabebgfagcgcfbgfedbggbbggbdcgfdbggbfeegabggcdcdffbggcddeeebggeaegcebggfgadgabgggagbdebgggbfbgbbggggbdaecaagfffffcagdgdefecagegecgdcbacffgggcbcfdefgfcbdffdgcgcbefcgbggcbfdegdefcbfefgfebcbffffeddcbgafdeggcbgecgfbgcbgefceefccaaaabccccdeffffccdecgfefccdgfbfdgccefacgggccegegdbfccfdgefbfccgdaggcgccggeadegcdadfgeffcdbeeggcfcdcbfffffcdcdfffdfcdcgfgdagcddeffagfcddfaffegcddgdcdgfcdeefdgcecdefdgfdccdegdddgdcdegefccfcdegfdcdfcdfcegbffcdfddfcffcdffegceccdgcddgfdcdgegffbbcdgfgeedaceafdggdecebfffagfcebgbdfgfcecfcgedfceddggfbdceeegccfeceefefdcecefcagegecefeececgceffbgbgdcegegfbcdcegfbecgdcfaedffdgcfafgcgdecfbbgdfgecfcfbdfffcfcfdbfffcfcfdgbgdcfcgcgfdccfcgfagfccfdcgfeeccfdfefedccfdffdddecfedaggedcfeedcdffcfeeddegccfeeegfdacfegdbgfbcfegecdgbcfegfcdddcfeggafcdcffcdedfecffggdfabcfgdcfceecfgdcgfaecgabggcffcgadbfgegcgbbgfgddcgbdgefeccgbecdegfcgcagfaggcgcdggebdcgcefffaecgcfccgdfcgcgdffeacgdbfbdggcgdefcgdccgdfeddfccgeefbfbfcgefceaegcgfdebggacgfgbcfgacgfgcceeccgfgdagebcggcgcdgacggdgcebdcgggccddddabcbaaadaccegffgdadgbggcgdaefgecdgdaffdfffcdagefecfedbbefggcfdbcfdfgeedbcgdfgeddbcggfbgddbdefegbgdbefdgecfdbegccggddbfcgefeddbffgcgfadbgfgcfebdcaffceggdcaffdfffdceafdffgdcebegfeedcecgffdddcedggdagdcefbeggcdcfefdfagdcfegegdadcfffbcegdcfgdggbbdcfgedaffdcgffgbfadcgfgeabgddbdcffgfdddefedfddddfgedagdddgedgebddebgggdbddegaffdeddeggfbcdddgcefefbddgdbffcfddgfcafdgddgfdfebddeagfafegdebfdcfffdecbggddfdecfcgcefdeddeggaededfdfdeddeeaefcfgdeeefeecddeefdeffadeegcfdgadefbcggagdefbfecefdefbggfdadeffadffddeffaegfbdegcebfcgdegggaagcdfacfgcgedfbcefdegdfbcggbdgdfbdgebgedfbfdgceedfcaeefgedfcdeeggadfcgefgbbdfddefgbddfdfceededfdggdbfbdfedecfeddfefggabddffdggbbddfffegebadfffgbfdadfgabdfgedfgafccffdfggebdfadgadadgggdgbbafggfdgbbegfdedgbgcdfcfdgcbfecegdgcdgcgebdgcegaggadgcfgfecadgcgecdgbdgdbfeffbdgdcfedgbdgdddedeedgdddgbeedgdfdbddgdgdfgcebddgdfgddeadgeaafefgdgeagefafdgecbgebgdgeeeecgadgegabfcgdgegdcadgdgegdfaecdgfbdgddddgfeagdbfdgfgfdbbddggbdbgeddggcfbfebdggfbeacgdggfgbbdceacgfegddeadfeedgeeadgeegddeafedfcegeaffecbggeafgbeffdeafgccgcgeagcecgefeagfefdbfebbgbgegeebbggefbfebcfefggaebcgafefgebcgfeeedebdgdggaeebecdgegdebeegbgdeebefdgfbeebeffgbfcebegfeeafebfffafcgecagfcgeeecbfedffeeccfcggddecdgddcffecededgcfecegedbdgecfegccdfecffedageecfgacfefecfgdffcbecgebggaeecgeeefdbedagcffcgedbcgffgbedcccgfefedccfafggedceegdbgeddbgegageddgfacffedecegebfedefbegceedefgebfbedegcgcceedegfagdcedeggcgbbedffagcfdedffecdededgcccffeedgccdgfcedgecbedgedgecceeeedgefdcbfedgfbbeefedggddedbeebbggfgaeeccgdaggeedaedgfeeedcefeedeedgcgceceeebgebefeeedfegbceeeeagcgdeeeebgdcfeeegddfbdeefacgdefeefadeedgeefcdedfdeegagddbgeegecbddgeeggadegaeeggdebafeeggfcbfaefcdfffaeefcgabgdgefdcgdfbeefdgefbebefdgefcdbefecgecddefededbfeefefcgdccefegfgaadeffcgddebeffdefdeaefffcfdbdefgebcecfefgffcceaegaacefggegafcgegaegbbeedgeegbeagfcfegccbegcgegcdeagfdegcecbggcegcecdbfgegdacfgdeegddceedeegdddcfedegdfbfbgcegebgdcbgegeeafbefegeggcdacegfddeadfegfdgbcagegfgbfbebeggaegdeaeggbcaeegfacegecgefaefcgfddfaefgbbfgfafbeffeefafegcbfffaffcddgefaffgfccdfafggfbfafagcdeeeffagdaeegffagegcbeffbbgdfgfbfbcedfgedfbdeedfcgfbdefbdfgfbdfdfgfafbdgeeegafbeedggaefbegfbebgfbfagecgefbfbceegffbfcefcdgfbfggebbefbgagfgeafbgcedeeefbgeccfdffbgefebbgfbggfdcebfcagdedgefcagdggcdfcaggdcdgfcbcbfgfgfcbfgeeecfcbggcfcefcbggdgdbfccbfgcgefcccffedffccdgfecefccfddfcgfcddgeeddfcdedagegfceeggacefcefeecbgfcegfcfbdfcfedageefcfedgcddfcffgedcbfcgeafbgefdadgfagffdaggcdfdfdbfddgbgfdcadgcggfdcafdfgefdcceeefefdcddggaffddaeegfdfddeddddgfdecebdgffdedfgdeafdfafbffefdfbdddfffdfdfbfcefdgcdcgddfdgeeabfffdggacdgcfeafaffgdfebagdggcfebbgfdfdfecdffbcgfecfacgeffecgcfgdafedbaggdffedcdeddgfeddfedfbfedegdeaefeecbbgegfeecgcfdcfeedafcgefeedgefcafeeebfcfdfeefbfdagfeeffaaegfeegagfcbfefaedbfgfefbcdbggfefedgceafefefaeagfeffaeafffefgffbcafegbefdbefegcccgcefegcgbdgafegegceacfeggafcdcfeggceaecffaacgfffffaecfcgeffafbcfgeffbcegfafffbdfcefdffbdgfdfaffcbefbgeffcbffefbffcgdedbeffdcgddecffdfafeagffdgfbfdaffeaefffaffecgefcaffefbdaffffegbgcdbfffacdgdefffbdeecefffbfceecfffdddefaffffgaccdfffgacgdbffgaedgccffgddfecaffgfdfaaefgabfccggfgadaegfefgagfcefafgbcdgafffgbceggadfgbecfcgcfgbegfceafgcbfdffbfgcecfcgbfgceeebbgfgcfedeccfgcfgdafbfgcgdcccffgdaffbcgfgdefafbefgdfafbgcfgdgddgbafgeaefccffgecbefgafgecbfeagfgeffceacfgefgbacefgfebdccffgfecfafbfgfedbbcgfgfgdfaadfgfggcdaafggbdcdfcfgggeabafgaceggbeegacfgcfbggacgeeagfgaecggdfbgaefadfeggaefdfccggafeedagfgafefafeegagddeefcgagegcfdbgbagdgbgegbbefefedgbbgdaegggbcgegfbcgbddgedfcgbdefbgcfgbdgdegccgbeeebgbggbfbcdfgegbfbdgegbgbfbgfcdegbffbddgdgbgagffbdgbgebafgegcbbffbgggcbdaefgggcbggeeeagccdgeccggccegaggbgccggadgcgcdbfgbdggcdegebdegcebddgfdgcfdccfcggcfdgccedgcgaaefffgcgacddfggcgbbgdgcgcgffagbcgcggafcfbgdagffbcfgdbcgafffgdbdeceffgdccdfbfggdcfgaegbgdcgaffcegdcgagddegdcgbgdbfgdcggbccfgdddcfcgdgdddddffcgddfbcfdfgddgebaffgddggafaegdebgaffdgdegadfecgdfbdcegdgdfbefgadgdfebdfaggdgegadfagdgffcbbegeabdgefegeagaegcfgebdbeffegebdgdcgcgecaffddfgecbeecffgecbgfdfbgeccceffdgecddfaeggedbecedggedbgaeefgedfeaegbgedgeaeecgeecbdffdgeeedgbafgeefecedbgefcbgefagefefbfadgeffgafacgegdadfgagegeceafcgegefbbcegeggabfbegfaagdgbggfabgfceegfafafggagfagdbggagfbcdfgafgfbcgdfcdgfbdbgffbgfbgdgfabgfcbffbgcgfcedaefegfdeaegebgfdegcebcgfecadefegfeeacdgdgfefdbgdagfegebfcagffbbedgcgffddeedagfffbgccbgffffadaegfgbgccbegfgcfcbcegfgdeaafegfgfafeacgfgffbdbbgfggbcgbaggaacgfgcggacedgddggafeceecggbagbfcgggbgcddceggbgdgafaggdbeefbdggdeeafcdggdfffaadggdgbdcbfggdgdcgabggefbbfdcggfbeccbgggfdedcdbgggbagacggggccebddgggccgbbdaaaaacceaacabaebaacabbbdaacbbaccaaeefgfgeabaaabfbabaaacdcabaacbaeababbadcabaeabacabbcaaccabbgggdgfabdbbabbabfdfgfgdabgbgdgfgabgggbeffacbgegfffacccbbaaacfegegdeacgcgdegfaddffddggadegfaeggadgbgdgdgaedgafgffaefgbfbggaefgegeebafafggfedafbcggcggafcgeffdeafddbegggafedcegegafegfedbgaffcffgfbaffdcgdffafffcebggafffgfdfaafgbgbgdgafgdfdfdeafgdgdffbafggbgfbeagbcfgdgfagbefgddgagbegbeggagbgcfdfgagdddefffagdddfgdfagefddbggagegfecbgageggcbdgaggaffbfgaggdgfeaeaggebfaggbagggfdgbbbbbbadabbffefegdbccbbbaabccdaaaabccdgggeebcdeeeffgbceddgfffbcgdfcggdbcgegeedebdcfgffedbdcggffecbddbegffgbdgbgcgefbdgeeggaebdgfcagfgbdgfcbggebdggacgegbdgggefadbeabbaabbeacbaaabecegeedgbeedfdegebfaefgdffbfbcffefgbfcgfgfaebfdbgdfffbfddcggeebfdefeggabfdggdgdbbfebgcefgbfefeefbfbfeggbfddbfgbffagfbfgcefgbebfgfebegcbfgffebgbbgbcggedfbgdcgefbgbgddggeebbgdggfgabbgecgaggdbgefdfbdgbgeffbgddbgfadgfeebgfbecgefbgfebegcfbgffadffebgfgefecbbggdfbgecbggecedgcbggfgcafdbgggfcbbgcacbabcacaeggbgdgcafgfecegcafgfegddcagefdggccagggdecfcbcaabaccbefggeddcbfebfggecbgacggfgcbggddcfgccegededgccfffddefccfgggdaeccgbeggbgccgcecffgcdagegbggcdcgdfedgcddgdgbgecdfedefgccdffedefdcdfffgebdcdgefafdgcdggfgeaccdgggdfdaceaggfafgceagggfdccebefecggcecccgggececgcddggcedgffdddceebeegefceebggcefceecegcegceffbcgfeceffcgbgdcegcfgbeecegeffdafcfbdgeegdcfddfegagcfdegegeacfdgagfbgcfeaggagfcfebcdgfgcffdfbedgcffdgcbegcffeegcgacffgdbbgfcgabdgggecgbefeffccgbegcdffcgdgadeffcgeeeegbdcgefgfbfacgegfcfcccgfedgecccgffcgaeecgfgebfbecggccgcdfcggfggbcadaccgegfgdafdggfgadafefdgcgdagecgfeedbeddgfdgdbegdefcgdbeggcegcdbfgbgddgdbgbgggcddbgddfgfcdbgedgededbggfafdfdbgggbdeedccgcegdgdceefggdbdcegfdgcddcfbefffedcfeedffddcgegfcddddbcffgdgddbcgcfggddbfeegfdddcgdbgffdddfageffdddgagffdddebgeeefddebgegbgddgaedgfeddgbfeaggddgcgaffeddgfdacggddggcfcdeddggfaeeddeagaggdgdedbfdgfedededgdeedeecgfdbgdeeegdddedeefcebfgdeffbbfgedefffbagfdegdcecegdegdfbegcdegffedeadfacegfdgdfagfgdcedfbfcdgfedfbgcegfcdfbgdgbfedfcgggabfdfdcfefcfdfdggcdbfdfedcgffbdfefcadggdffdcaggedffedgcbfdfffbfdbgdfffgafbedfgddfgbcdgagagggbdgbbefdfgdgbfecgfcdgbgbffeddgccdeffedgccfgeecdgcdfdgfbdgdeecffcdgdgafbgedgeaeecgfdgeagebegdgecgecbgdgfdddefcdgfdfbgbedgfeeagecdgfgccgdbdggbfcgcddggccbeffdggddffaddggecdccgeaaffffgeeabggegcfeaeeeegdfeaefgdgceeafefgfbeeafegfdfceafgbegdfeafgdgbgdeafgefdedebcgbegegebdcgbggfebegebfgdebfcgfbffebfeagfefebfeededgebgageeefebgcfeedfebgcgecdgebgefgeaeebgfcaffgebgfecdfeecababaaecafdefgfecbfcggcgecbffbfgfecbfgeaggecccfegefeccgdbffgecdeeeegdecdeggdceecdgdfagfecdggaegdececfgdgceceebggedeceeeedgdecefagfdfeceffdecfecegeeaegecfafefgdecffbgfceecffdgagdecgegdcgbecgegedfaecgfefbedecggafdeeedbeagggeedccgdfgdedddbdgfgeddfafeffedefgfdeaedegfdbgcedfdgfeaeedgcgdefbedgdacggeedgegecfaeeagdcfegeecbdcgggeedbgeefdeeecfgdageeefebggaeefcfeeceeefdgeedbeegcgadgdeeggdgaafefaegfeagefbbfggbfefbfggcfaefbgbfdefefcdfaefgefcgdbgedefdfcgecdefedcdcgfefedcfefcefeegdbedefefaeefdefefddbgdeffgbgabgefgabgcgeefgcegcafefgdfcaefefgegbagcefggbecbfegabeffdgegacgaggeegadgfeceegaedddfgegaefgdagegafgdcfdegagfebdfegbceeedgegbdbggfcegcbgccgfegccccggeegccgcgddegcffbfgaegdadedgfegddfbbgfegdfeeacgegdfefagbegebgbcffegeccdeefegegaedgbegegeeddaegfefbfeaegfgdebdceggaacfgfeggefccbeeggfbegbbfabggcgfdfacfegdeffacgddgdgfaegecgedfaffeebgefbafgfbgffbbbgeeggfbbffbfgffbcdfggfbfbceeffeefbcfceffffbcgedfgcfbdbdfgegfbdcggagffbddcfgeffbdfgbfcgfbfbgfdfdfbfeffcbgfbgdfbgdefbgefeeebfbggagefbfcadgagggfccdefcfgfcceebgegfcdfffcfcfceccggbgfcedagdfgfcedcedfgfcegcfegafcegdageefcfceecegfcfdefbgdfcgaggeaffcgggeabefdaadfgggfdbgfbefefdbgggfacfdcacgfgffdcffagfdfdcfgebcgfdcggddecfddcfdgbgfddeafefffddfdfccgfdeffbbgefdfcecfeefdfdfffadfdfeaffbgfdfgcedcefdfgeefcafdfggbcddfdgagdgfafdgbfddcgfdgdfagagfdgecfgcbfdgfefceafdggdebecfeagdgcfdfeaggdecefebcgdcgffebfdagfffebgdeffbfeceggecbfecfaagggfecgedfbefedagdegdfeddbgeeefeecbfefefeegebgaefeeggcbcefefdcgcfcfeffbcdeffegegbccefegfbebcgffaeefbegffbfcaffgffcfbaggeffcfdggbbffcffdecdffcgbbeegffcgcdddfffcgfaafgffdaddgefffdaegfecffdedaffeffdfgccbfffdggbfcbffdgggacbffebgadegffeggbfacfffcadfgdffgabgedeffgacddegffgffaaeefgabggegafgbdfffbdfgbdfggbbfgbecgdbgfgbeddbfgfgbedffdcfgbfgcbeefgcdfacgffgcdgcbdgfgcdgcgaefgcfgdaedfgdbeeeedfgdccaeggfgdcgdefafgdcggfbafgddefgacfgdgccgbdfgdggcfbafgefacedffgegfccdbfgfebffdafgfgbbefbfggbedfaefggcfccecfggcgaeebfggeaedbfgabfecffggabfffffcgabgcdegggadegadgggadfaegeggadgaefffgafdgfdcegagaefgcfgagefdgbdgbagdgfgbgbbdfgcffgbbecgdgfgbcfeffgagbcgagfeegbdedgagfgbdefeefcgbdfbcggegbdfdeggagbebggddegbeeafegegbfccgefdgbfddfddfgbgcgdfebgbgdgfdccgcadfefefgcafedfefgcafeeefegcbeegegbgccbggfddgcceededggcdeffcgbgcebgegcdgceefgbbfgcefgcadggcfefaeeegcgafdeeegcggadfgagcgggbedagdbeggbgbgdbfdecffgdcgafdfegdcggccbggddgbcfgcgddggeacegdfcgddfbgdfddebfegdfdgffbagdfeabfgegdgcgaffbgdgdgfabegdgebgadfgdgefdcfagdggbfdaegeaeefefcgeaefdagggeagdfgeagebcffdgcgebgbgefbgecdgfaeegecefddbggecgbggcbgeddedcfegeeeffcdbgeeegfaebgeefdbfddgeegedddbgefaedefdgefbedbffgefecebgcgefgagedagegcbgfbdgegdcfdbegegdgdebbgfabddgeggfafcagffgfbebggfagfbfadegegfbfggeabgfbggecdbgfdagcffcgfdbdebfggfdbedagggfdcdbegegfdfbbfgcgfdgccbfegfdgdcdecgfebfdaffgfeccfegagfedcffaegffeegdabgfffbcdfcgfgbagdbggfgceebbfgfgdffaeagfgffcdbbgfggcbfbcggafggbdbggbcadffgggbcdfedeggbgbbffdggbgfbgadggcbeagdgggcccebgfggcfbbcgfggcgagddcggdbfcddfggdcbgceeggddebgcdggddeefcbggddegaecggddgbdgaggdgaccefggeccdebgggecdffcbggeeccebfggfdbgbagggfgadeeagggaebdfdgggbcegcbaaadfabaaabbeacbaacbacccaacbbbdbabaabafcababdcacabbbbfaaabbdaaccabcbacdaabgggbegfacagabaaacbbacbcaccbadbaacfgcgfefacggeggcdadcdfggffadecaaaaadfaaabaadfegffbgadffedegfadgfedeffaeabdaabaegdegcgeaeggagfdfafabbabbafcgfdfgdafdefgcffafegfdeeeafegfegfaaffebfgefafgcgffgaafgdegafgafgfcfdgdafggccdfgafggccfefafggdgagdafggfgdaeagcdefggdagdffgfcdagecfgcgeagefcbgfgageffefceagfcfgfddagfffgcddaggbdgfgcaggdcdefgaggdeagegaggeefecebaacbcdababaabddbabacbccbabdeaaabaeacbbabagfcggfebbeegedggbcaaacaebcaaaceabcfgeddfgbcgfeagfgbcgfgfddebcggbgfeebdfbfcgggbdfbfeeggbdfdffefebdffdgcgebdgecefegbdgfdefeebedfafgfgbedfedfegbedggbffebedggcgfcbeeafgfegbeeegfddfbeeggbeefbefcgfdefbefedgggabeggefagdbfagffffdbfbggfffbbfdegfegbbfdfdfgbgbfdfeeggbbfegdgddebffeggdfabfgdefecfbfgggdcecbgbcggfeebgdeffebgbgdfggeccbgegdbggcbgfafgaggbgfefdagfbggbgfdbgbggdacfggbggddedfebggdgbfgbbggebfefdbggeffbcfcacaaabecacccabacafbaaabcagceffgfcbaabcbccbaadadacbbebaaacbcfgfffecbdfeffffcbfagfeggccaaacadcccffgfdfccdfgbgegccefefgfcccegfbgfeccfcffeffccfdfffgcccfgdfecgccgaggedgccgfdgeedccgfffbefcdbaaacbcddgdgbfgcddgfefgbcdfafeggecdgaggefdcdgggcaegcecfffgfbceeecdgffcefdcgefecfbfgefcfcfcedggbgcfcfggdbfcfcgfgdcecfdffdffccfedebgffcffccdeggcffdgfdfbcffgbgccgcfgcgeffacfgdfddcgcgcddffefcgcgfcgeccgcggegdacgdgfgecbcgegadegecgfdcefeecgfddgbgdcgffddfagcggefbcdgcggfbfbdgcggffdfbccgggdcbdgdadfdfeggdagdgbeggdaggcfgcfdbffgbfefdbgefgffadbgegfdbgdbggfagcgdcaffgfgddcafgdffgdccgecgffdcdddffgfdcfggeefadcgefdbgfdcggeeeagdddfaeggfdddffgaffdddgdggdcddebgdfgeddegcbgegddfcggcgcddfedfgbfddfeedgbgddfgcbgefddgbfgededeadgdfgfdeegddgagdeegegbdedefaedeggdefegdbdgdeffefedcdegaceffgdegbgcfdfdfbgggfcbdfedefdfddfegbbegfdffaeeggcdffageeeedffcaegffdffcffgdbdffcgdgbedffffabgfdffgfcagddfgagcgfcdgagddfefdgaggbgcfdgbfgedgbdgcdcfgfddgcdgdefddgcfdaggedgdebgefddgdfedcdgdgdgdfbgcdgeagfbegdgedecbggdgfdgfgabdgfeddfcedggbgcbffdggccfagfdggdafcgedggdgdgcadggeebbgedgggbefeaeaabbcbaeabegfdggeabfcgggfeaegaggdgeaegfffgaeagcgdfefeaggcgcfeebccgfgefebdfcffgeebfcgbeggebfdffgceebfeggdddebfggaegdebgdfgceeeccecdgggeccfffecgecdcfffefecdedfegeecdgeaggeeceaggffdeceecgfcgecegegbgcecfaggecgecfgdeecfecggeedddedabffggfedaggfagfedbegggfaedbgffdeeedcgbefgeeddgfcgddedebbfggfededeeffdedegadegfedfafcgegedfcddfegedfeefffaedgdbdgfeedgddaeggedgdfbdgeedgefecgbedgfgadeeedgfgdedbedgfgfbdcedggcccegeeafbgfegeebbefffgeebcgfefeeeccdegegeecdbfgegeecgcfaggeedagdgfeeedeefgfaeedefbfgdeeeecggafeeefggfabeefcbgcfgeefebeegdeefegffaceefgdfadfeegadcffgeegcffecdeegdcfbgeeegdcffbfeegeaeedgefbgedfgbefcfebdfgefcfgaggbefcgafggbefdbfggebefdeegagdefdefcbfgefeegcgccefefbafgfefgefccbgefggaacggefggcfdccefggebfbdegbcggddeegbdcgeefegdcefafgegeccdegeegegadffcegegdecgaegfdddbegegffgebccegfgcacegeggbefdceeggdfgccbfaaefggeffafedbfggfafggfacgfagagfgfcfagbffbggfagcecfgffagedcggdfbbffgcfffbdedfgcgfbdegggbdfbedggefbfbefgcgddfbegdefcffbegebgdffbfafggdefbfefegdcfbfgfffcbfbgafgegcfbggegdccfbgggcdecfcadggcgffcdffgbeefcefdcegefcefdebfgfcgdeeedefcgfegacffcggbaggdfdadfefegfdadfegfefdadggcgefdbdfggbffdbgbfggcfdcgbcgegfddbdgfdgfdeebfggbfdfbagffffdfddgbgdfdfgfaebgfdfggaeagfdgcdcdfgfdgfccecgfebdgfdgcfebfggbcffebgccfegfebggbefdfecedgcfefeeddcdgffeegfcgdafefdfdfaffefedbcfgfefefeebdfeffgccfbfefgefdbcfegbecfcgfegcbgedefegcdggdafegcggcdbfegecbgbgfegeefbfbffaegcfgcffbcffgddffbggafgbffcccfdfgffdbcfdfgffdcfdgceffddecgbgffeaedgfdffecgfbcfffeeaeffdffeeebddgffeefecgaffefddafffffaegcgcfffdcebgefffeafegbfffedcfecffgddbffcfgadbgfeffgbcefgecfgbfcgdfcfgcccgdfefgcfbdeeffgcfcbfdgfgdcdfddffgdcgdeagfgdddgfdbfgdgeceebfgdgeeccdfgdggbeeafgeccbgfefgeeageddfgfaagfcgfgfbcggdbfgfgfeccafggbgbdbgfggcdcdcgfggedabgegabcgggfdgabgcfgefgadfbgggcgadgbfffegaedgfbeggaeeddggdgaeedfefegaegddcfggaeggffadgafefgaefgafgafgfcgbcefgffbgbdcgfgfbgbdeggfbdgbecgfdcggbedebegggbeffdagfgbefffdecgbegffdebgbfegadffgcafbeggfgcaffffedgccedfgbggcdbcgdgggceccgfeegcecgfgeagceedcgcggcefabggfgcegcbdgfgcfagdbgggcfdefgdbgcffcebeggcfffcdfcgcfffdbdfgcfgffceagcgcagdgegcgcfgfbcgcggfcfadgdaeggaffgdafgecgdgdbdgdeefgdbegcgcfgdbfcefgdgdcbcgegfgdceeegddgdcfeagdggdcfggbfbgdcgegfadgddcffecfgdddeffgagddgdbggbgddgebffcgdeacgegegdecaeggegdedbgbfggdeecefcfgdegbfaeggdfbgdbgegdfdcggdbgdgcgdafegdgegebafgeaddgffdgecefcfgbgecfagfgbgecgcgeebgedgbaefggeebddfdggeeefeedbgeefbffdcgefaafdgggefadgbffgegcafecggegeeeedagegeffeabgegfdbegageggeaeafgfbgebgaggfcaeecgggfcegebgbgfcgdbecggfdedbcfggfdfcdbeggfedebfbggfeeagfebgfeeccecggffagagcfgffdbgfaegfgabdfdggfgcgafbegfgedcedcgfgegbdaegfgfcefbbgfggadccfggafdeagfggbcaggcgggbdbcgegggbeeecdfggbfcdfdeggcagfdfcggcddfgeaggceaddgfggcfbgdbfggcgagebeggcgddedcggcgfagccggdefafddggdfdfccdggdffcgbbggdgbecbgggdgfaagdggeacdggcggecfcefbggefaecgcggefagcecggefbfbfcggefdfcdbggfcgccagggfegbbgagggaceebggggdebfbdaaabbafdaabeabbdaabgadaaaacaedbaaaddaeaaaadfcaaaaagdgdgggabagcabaabbabedaabcabfbaabccbbbcabccbdbaabcdadababeaacbcabebbadaabedbabaabfaacacacacdbbbacbafbbaaccbcdaaaccddaaaacdabbdaacfeeggfeacfffgcgfacfggdfgdadbfggfffadfcfgfffadggbgegeadggfegddaeabaacdaebacacbaebeaaabaebfgffgeaegfcgfcgaegfgcdgeaffgdcgdgafgddefegafggffdecagababacagfgecffdagggecfcfbabaadcdbabeeaaabadababebadbbcacbagababbbagfgeggcbbacaaecbbacbcadbbacbfaabbbbacbdbbcabcadbbcegffggbceaaadabcegcegfgbcfffffeebcgfbefggbdacaadbbdaecaaabdefgcfffbebaabdabeffggaefbfcgecggebfeegdefebfefceegfbfegdffedbffgefceebfgcegdfebfggagddgbgcfddffgbgebfffefbgeedgdefbgfcdeefgbggcbcgggbggcdfegdbgggcbeegcaaadccbcaabdaaecaacabdccaacbcadcacbaabecaggecgffcbabdbbbcbacccabcbbabafacbbgggcggcbefdefggcbegcfgffcbgdgggecccaaabebccagfgfgecccgfggfcccdfffcggcdeggdeeecdfbegfffcdfdefeffcdgfcfeefcebegegfeceegfaefgcefcgfdgdcefgdfgbecegcebggfcfbcgggfdcfbgbggdgcfcffcgfecfdedgegdcffdcfffecffeeggaecfgegbecgcfgfgagbfcgceffdgdcgdddedggcgdfcggfbcgeegecgccgefeefddcgffcfbegcggcddegecggfggdbbdaabddaadaaeadaadacaccabdacdcaaadaegegedgdaffaggfgdbdfgeeegdbgfedeegdbggccggedcaabcacdccaadaadcgagggeddcgbgfedgdcgffggcbdcggfecgcdddfegddgddeeeggceddffegddeddfgbgcgeddfgfgcagddgegfcedddgfedbfgdeabaacadeadggfgddeeagdgffdeegdfddfdeegeffbedeegfcgcedefbfgfdedefdgbgcgdegbdfdfgdeggfcdcfdfdffgeebdfegdcgbgdffbgggdbdffgebfbgdfgcgagdfdfgfbgbefdgaeggcfedgbdefcggdgbfggdcedgbggeaffdgcbgdfegdgcgbecggdgddagggddgeeeffebdgefdbeegdgefdeddfdgfbgcggbdgfccgdefdgfebgdeedgfgdafgcdggadfcgfdggecdcgeeaabccbaeacacbbaeacadaabeafgbefgfebgceggedebgdegbfgebgecgbggecbggbffgeccacaaaeceefcegfeceffddgeecefffbgeecfcegeefecfgdffceecgdfggbdecggegdcdedbaaaacedbggfdeeedcfgdcfgeddgdebggedfbbgffgedfdgdbfgedfgfecfcedgefebfeedgfggddaeeceagggeeedeegebgeedegbegeeedggdbdgeeedeagfgeeeebgfcgeefgeccefeegcdgddfeegcfdbfgeegeeggcaeegeffbcfeegfggadceeggdcgebefaeggdcgefagfdgedefcebggcgefcgbcfgfefcggafeeefdgbgdcgefdgcegecefedegageeffceddegeffeceefdeffgaceffefgacgdegefgccfddgefgcgeccfefgecccfgefgegfeacefgfdefbdegafgceefegbaefgffegcdcgcfgegcdgeagfegcfbdggdegdcfeggaegddbcfggegdfgdcdeegefddcdgeggdgfceaeggfcdddeeggfecbdffabgffefffafgddcggfafgfbdfgfagcgegfcfagegbfdgfbbgffdfffbbgggecffbcegefdgfbdgefeeefbdgefffcfbdgggdddfbegegaegfbfgafffefbfgebegefbgbfdgfefbgeeddfffbgfdceegfcabgfggffcaeedgggfcdgdeegdfceecgfdffceedddggfcefgdecffcfagfdfffcgdgedfcfcgeageeffdbcbggggfdcbfgfeffdcfcfcggfdddebfggfdeecdggdfdefcgcdgfdegfecdefdgcfcegdfdgdcfbfgfebefggbefedggdbgcfegbcfgdefegcdeaggfegecgagdfeggdbagfffagcfgfcffaggcgceffbcgcdggffbgfgeeaffbggbdfeffbggbeeeffdcfefcfffdeefbdgffdeffaefffdffcgcdffffdebeeffgaffccgffgbfgadfffgdfcgdbffgeafbffffgfagefaffgfbebfeffgffbfeaffggacfdefgafdcfegfgafdfddgfgbcfggdcfgdaggcfdfgedcedeffgeegaefcfgeegedccfgfabgffdfgfgbgcebfggaefdfcfggbecfdefggdgdcdcgaagfegfegabeggdeggaffcfefegafggdffagagdggdcegbaaabacgbcfgffbfgbcgegdfdgbeeegfbfgbfdffagfgbffdaggegbfgcffaggbgbegddggbgggdgacgcaggdfgcgcbfcgggcgccggggcagcdeeegdegcdggecdegcebfbfgggceeecfdggcfbfcegfgcfdegddegcfecdcgggcfgbeecggcgbdgddggcgdggcebgdcdgegfbgdcfdgfecgdcgafggcgddfggdeagdeffaffdgdgaccgfggdgafdbgggdgeffbgagdgfebddfgeaagefgfgeacgcfgfgeagffdedgebdaggffgebedfdffgebedgfdegebegbfefgebfebegfgecafdgffgecffaggcgeeaefdgegeeagcfgdgefacgfeegefefbecfgefefcgaegeffdgbaggefgbdebggegadfcffgegbfecfdgegbfgedbgegccefdegegcdecefgegcfbdefgegddbfdfgegefaffbgegefegbageggfacbggeggfccfagfbeecgdfgfceecegdgfdaffgddgfdccgcgegfddeegcdgfdegdedcgfdgcafefgfdgdedfbgfebdgfcegfebeceeggfefbebeggffedgebcgfgbceedfgfggbadfegfggbfagbggafccfgeggagfcffbggccbdggeggdbcggecggddffbdeggdedegccggdeebgceggdeefcgaggdegbbfeggdffedeaggdgefagaggeadegbgggebbfcgfggebfafgdggeccfbffggeebeegbggeffebfaggfcadffeggffdacfeggfgbadfeggfgbfccdgggdadbfggggdefcbdgggeedcebggggbbgccaaaagbccaaabgcbbaaacbebdaaagbaaeaababfdbaabbcdbdaabdbdadaacccaebaaccfbbaaadcbcbcaaebcccaabaabgadababfaeaabccabafabccdbbbabcgggeggabdabdadabeaabdcacaccbbdacadbacdacbaagacacbabebcacbbdcacacbbedaaacbgaacaaccbadcbaccbdcabadabfacaadbfbabaadfgffgedaeaaaccdaeaabceaaebbcbbbaebcbcabaecacdaaaedbbacaaeddabaaaedeeegggaeegeefffafbbcaacafdffgfcgafefegfdfafegcgeegaffdgedfgafggagcggagdbgfffgagdfgdfefagfgffageaggagegefaggeffbegbaaacagcbaaadbecbaabdeacbaabfbcbbaaecccabacbbgaabadadbbcbaeaabbebagdbaaabbafadabbbbadafabbbbbcdbbbbdafaabbfgegffebccaabfabcdabbcbbcggbfeggbdaaebbbbecabbacbecbaacbbedfggcegbegfegbegbfaccaabbfbadaabbfgdeffcgbfggfgdfabfgggffcbbgadaababgdefggcebgegefgebbggbfbgfgbggbffffdcaccabcccacccbcacadaceaacagabbbacaggcfffgcbabbbdccbacaccccbaeaadbcbbacabecbbacbaecbcaeacacbeaacbbcbffgeegeccaacadcccbbcacbcccafaaaccfgefgedcdbabccacdbbaeaacdbgggefecdcaabadcdffgfedecdgdfffeeceecgffdgcefbdgggecefdcgggdcegeedfgdcfbggfgeccfedfefefcfegfeafgcffdggbfecffegggcbcfffefgafcgaadaaacgadgdgfgcgaggegdecgdefddfgcgdfgefbfcgeecgggbcgefgcdefcgefgdebgcgfdfebgfcgfebeefgcgfeecfgdcgfgdgfbdcggbgefbgcggedfddfcggedfegbcgggaeefecgggdfcbgdabbebabdadcabacdaegdegfgdagfdgfgddagfggcdgdbaaaaeddbaccacbdbbababedbbcacbbdbdffgeegdbdgecgggdbeggfddgdbggggefadcdeefgegdcgdeffefdcgfgfgaeddaaafaaddcbfgfggdddggbfgeddefegcgeddefegfdeddffgfefbddggdfgcddeccggdgfdecgfdgfddefgffgdadfcbeffggdfcdfegdgdfcdgcffgdfceefdgfdfdbgggeddfdgdgdgcdfecgdgcgdfefeecegdfeffdbgfdfgaffffddfgdffccgdfgdgbfdfdfgfcbfegdfggfadefdgbedegffdgdfegagedgecggbfedgefdefgbdgeffffaedgegefcfcdgfcffffbdgffbgfbfdgfffaefedgfffgedadgffgecgadgfgbdfgcdgfgdebdgdggdfdgcddggeddbfgeaacaadceaacbccaebaacbadebfeggafgebgedfeegebgfdgcegeccfgffdfecdeeffgeecdfddggfececgefegecededfggeceeggfgaecfgbgdgeecgaeffgfecggcffdeecggdfegbedcgfeegdedeefeedgedefgbdgfedfcbgeggedfcggfagedgdcbgggedgedfgfbedgffgdfaeeafdgdggeebeefegfeebgecggeeecfgdffdeedcgegcgeedgcegdfeedggfcbgeeedegdefeeegeffdceefegcfedeefggebbgeegbcgdfgeegefdafgefcgfbfefefdgeddefefefdfcdgefeffbfcgefegdgfcceffcegfbfeffdggfbceffgecdfdefgaffgbfefgfgeafcegacgggedegcdegggaegcfcgefdegcgfaegeegdgegcecegfeeeffaegffdgbfcegfgedfcceggaegdfdeggdaegfdeggddeefcfaaacccafaeeffcggfafffegdefagfebggefagfefgddfagfggdbffaggeaeggfaggecefffbbaadabfbbaaeaafbfegcgdffbfegffcefbfgggddcfbgccfgegfbgcedggefbggbgaggfccegggecfceegfebgfcgccfgdgfcgcfcgfefcgcgebfgfcgeeffgafcgfgedagfcggeegccfdaeegefgfdagggfecfdceddggffdeefaggefdffgfeeafdfgcgddefdfgdfdedfdgeededffdgefefebfdgfgfebcfdggcfebffdggdeeagfeaeffgfdfebcegdggfecdgfecgfedeefddgfedffageffedffdfcffedgbgfcffeedeggbefeefadffgfefgebgcefegeefgbcffadfeggdffdfcffcfffedbffgdffeffffcbfffefcegbffffcdegcffffcgbdfffffddeedffgdecaggffgedgbgbffggegcdafgafcefegfgbefegecfgbgeedfdfgccfcgdgfgcfgdbeffgdcdedgffgdgagedefgeadefgefgebegcgdfgeebgdcgfgfbbgcgffgfeagcgdfggacgecgfggafedcgfggeeagecgaacbcaagaaggeefggadfddggfgafdgeegdgaggceefegbdgeefcggbefgdgddgbegcfgdegbffbbggggbgbfcgffgbgccgegegbgegggcagbgfbcgeggccffggafgcdecgfefgcedfgbffgcgcgffafgcgdcgefdgcgddfdgdgcgfgaggagcggcffbegdbdgdgfegdcgegdfcgddbdggfegddcfgfbggddgfdebggdebfgfgbgdedgegbegdeeagfgdgdegdegfagdffdaggdgdfgdeccggdgadeegfgdgbgaegfgdgdafggcgdgffcaffgdggcdgafgeaedgegegeafeegeegeaggdbfggebffgceegececgedggecfcgdefgecgggadegedeeggeageeaeffgdgeedgfcdegeeecffdegeeedgfafgeegacgdggeegeagcfgeeggbbefgeeggffabgegacggedgegcdfffbgegefcdfcgfadddggfgfbefdfdfgfbffbgcggfbgafgdfgfbgebegegfbgfeeaggfcededgegfcedfffcgfcegedgbgfcffegaegfcgbfeeegfdddggcdgfdffdgbdgfdgcefbfgfecdgdeegfeeceagggfegccceggffcffbdfgfffegaecgffgdcebfgfgceaegegfgdbdbgggfgddgbgbgfgebffbegfgeffaddggbdgcdgeggbfgdeagggcaedgegggcgedbgdggdbgfbefggdccagggggddfefbeggdebfbfgggdgedcbgggecbfegdggecedgceggeefddecggegbeeagggfagdcgdgggbebefegggbfbbfggggeabfdggggfgecbbggggcbeceaaaceabfaaaebbbfaabacfccaabbbbfdaabbddeaaabcaccfaabcaeafaabecacdaadbgabbaadfdaabaaegabababaaagbeabaadcagababacdfababeecaabafdacbabbabeafabbbcagbabcafabdabccaaedabccddababcdbadcabebcaccabecbbbcabefbaababfbcbbbacaccceaacbabeccacccbcdaacgceggggadaacagbadbacddaadbaddcaadcaaedaadccbbadaddaabfaadggeffgdaeaaccbdaebaddbaaebagabaaebbafbaaecbacbcaecbadbbaedebaaaaefggecfgaegaabbaafabeaacafacadcaafebbaabafggfecffagbbacbbagdgdgdfgaggaefgfgaggegcgdfagggfffdcbaabbbdfbaaceeabbaadccdbbaccbcaebadcacdbbafcadabbbabcbcebbabceadbbbafbcbbbbcddabbbbdabafbbbeeaabbbbfbbbbbbcdcadabbdacadcbbdcaadcbcababfcbcbacdcbbcbadbeabcbbaafcbcbbcbccbcbceacabcbfdaaabcebbaadbdabaedabdbaebbbbdbccbbbbdggecfgfbeaabecabeabfbaabeadbacbbedcacaabeefgdgfebfdababbbfegfedegbffgdeffebffgfeegcbfgbfeggebgaaaadcbgedfgffdbgeffcfffbgfffdcgfbgfffffgabggceegefbggfcggcebggfgbeefcaaacfadcaacbbfbcabbbccdcabgaadacacabecbcacbbfabcacbdacccbagcabacbbabeadcbbaccbdcbbbebcacbcaabfbcbdbaebacbeacdaaccaadaafccbaaafcccbadaeaccgfefcggccgfegffdccggebgfgccggedegfccggfgfbfcdaagbaacdaddabacdagaabacdgdeegffcdgegdggccdggfcfgdceaafabacebfggffecedefggeeceegdcggfcefgfgceeceggdefdfcfdbggdggcfdgffggacfdggeddgcfededggfcffcedfggcfgdcgfefcfgdfgebgcgcbabaacgdgfddffcgfcgfdefcggbggbgecggccggdfcggdggfeadaabddcadaadbaebdaaeacbcdadbabaedadcaaaedagacabadbaaabbgdbbbccacdbbcaafadbcabaafdbeacaacdbfabbabdbfgfdefgdbgggdfgcdcabadaddccaabaedcgcggdffdcgfdeefgddaaccacddbbcacaddgeffcegddgfgddfedebgfcfggdedgfbgffdefgfcdegdegaggdffdegggfdbedfaaabbcdfbabbabdfcgegfbgdfgeadggfdfggfdgeadgafgffeedgbccggggdgdfffcdgdgefgdgafdgfcffffcdgfdbggeedgfdcggdedgffdgegadggddfgdddggddgeeddgggaggcdeacaagaaebaaabgaebacbabdebafaaacebgeeefegebgefdgefecbbaadbecefeeegfecgeeeffeedcdgeeggedfcggegcedfefgebgedfegeedfedgfcefefedgfebgfeeebffgegdeecddfggfeededeeggeedgcffgdeeefbffffeeegefdgceefegdgeceefgadfgfeefgcgfceeegdfdcgfefbfgdfgdefedffecgefeedgfcfefeffeddfefegdedgdeffdagegfeffgcegagefgeabgggefgfffcceegadgfdgfegbgecegfegedcefegegegbdgeeegfddfddgegfgffecbeggdfcfdeeggfaffgbeggfdecgcfaacbccafabeabbafadbaadafaeacaabfaegdgdfgfbedefeggfcabbbcafcbbacbafcbfgegdgfcfeefggbfcgfedeeffcgfgfadgfcggfcgfbfdcdggfgcfddefgdeffddgbgeegfddgggeebfdffeffbffdfgedffcfdgcgdcgffedgfefecfeeedfcfgfeefdcdggfeegfcfbgfefgcgafffegabfgfgfegacfffgfegfdgadgffafddgfgffbfffgbfffdcdegffffeaegefffffbdcgfgfffdddgdffffegcdfdffgbdggbfffgfgbfafffgfgedbdfgbfdgfedfgcggfeeafgdbdgefffgdeedgfcfgegggafafgfeeeeddfggcefgbdfggdddfcffgggegaafgbcabacagbcgcgegfgbffgecefgbgcefffegbgfceggcgcbfffeeggccgdggcfgcddfggcfgcecbfggggcedcggefgcedgdfgdgcfdegfgbgcfgedcffgcgbgeffdgcgdecfffgcgfbfgfcgcggedfddgcggfebeegdbbggegfgdbfbgffggdbgeggecgddgdfffcgdfaffgcggdfbfgeeegdfgdgcedgdgafffcggdgccbggggdggffaedgebggecgdgecgddgcggedeecdgggedgdgdgbgedggafdfgefdefegbgefggbgccgegcefdfdgegcfddefgegfffagbgeggdefeagfbfegddfgfbggeeddgfdeegfebgfecbdggfgfeefdfecgfefdgfeagfefgcfcdgffbefecggffddfagfgfgcdfgebgfgededfcgfgegefcagfggdbfbfggcgffgcaggdfccgcgggdggbgeaggedcbeggggefbaggeggegegbebggfcbcgffggfcdgcfdggfgceecdgggaccggegggafagdggggecfgbcgggfcgdeaggggcdbeeggggdfbdcaaadcdcdaaaddbecaaadeaddaabcddeaaabfbbbeaacafaddaacbccgaaacccebcaacgcacbaadebacdaaeaebaeaaeafdbaaafaacbfaafaaebdaafbbecaaafbcafaaagcaccbabaaacgeabacfebaabadaccfabbeaebcabcaccgaabccdbccabceacdbabdcacebabfbabfaacaadbbgacabcaeeacaccaedacadebcbacbabfccaccbadbeaccbgcaaacccccadaccfadabacdaaebdacdadadcacdbaafcacgafaaaadaccafbadaceadbadaeeacaadbdbadcadbeaaafadbfeaaaadcadcadadcbcabeadcbfaacaddcbdabadebbbadadecbbcaadfababdadgfgefegaeaaagdaaecabagaafacecaaafbfacaaafcbccabaffefffegagabccbbagacdcaaagbbabdbagbbcaadagfaggfgfbaaagaagbabaeabgbabcacbgbabeafcababebfbababgbbbcbacacdebbaccdbccbadaabgcbaeaacfbbaeacacebaeaecacbaebccdabaecaafbbaecbadcbaecbbaebafaeaadbafcaaafbbabcccebbafaafbbbafbdacbbbcagacbbcfbdaabbdbacebbbdbaedabbeaaecbbbecaafabbfabfaabbfggeggebcabeaebbcacfbbbbcadaddbbcbedabbbccafabcbcdaaafcbcdaccdabcdcaacdbcdgbaaabcebabdbbcfdaabbbdaaaecdbdabcafbbdbbebbbbdccccbabdcedaaabddcdaabbebacabebebbfaabbebddbaabedaaeabbefdgggeebfbbaabebfbcbaadbfcdababbffdgfggcbfgfeeffebgcabdaabgcffggeebgcgedgfgbgffffefdbgfggedcgcaabgabdcaacdaddcaadbbcecabbafeacabbfbdacabddeaacabfaaafcacaccafcacacgbacacdeaaccadccbadcafbadbbcagbbbbbcbaafbeacbabbcfbcbbbcagacbbcgbaacbbdfabacbceaabdccaaccebccaaecdaccafaadbccbaadebccbaafcbccbabbceccbccadbccgdgffffcdbdaadbcddggggbgcdfaaabcceaacebaceabdacbceacacbccecbccaaceedgffffcefdfggeecefeeefgfcfaaaaddcfacaabdcfefffffdcffdgdefgcgbaaadbcgcbggfgfcgdggefdecgeddgefgcgeggdddgcgfbffdggcggffedfddaacfcabdaagdabadabecaaddacdadacdbaagbbbdbabddacdbaccadcdbadcbcbdbafadabdbcdcaacdbgefgeffdcabafcadcabdbcbdcacbcdadcccaaccdcdabcbbdcecabbadeababdbdeecgffffdefgbgegedfbabdaadfdabaabdfedefgdgdffbggedgdffcefgfedffgecgdfdfgbeffffdgabaacbdgaegefgfdgbffffefdgbgcggdgdgcdffgefdgcffagggdgddedfggdggdgffdceaafbacbeadabdcaeafbaadaeaggedgegebacaaagebbadccaebbbaafbebcaaaecebcefgfggebdbabadebdcbacaebgfgegbgebgggeddgecababafecgegdfdgecggfaggeecggfecgeedcbaabcedffegdfeedgeffddgeedggfagfeeefegcffeeegfeefdeefeaegggeeffeffbgefafegegfefaggdfgeeffffaggdeffgbbfggefgagfggbegbcaaaaegbfegdegegbgfffbgegedfgdcgegefdfddgegffcgefcegfggfbceeggcdgbfgfaaagbabfaabcbaefaaebcbafabadaeafacabbaefagfeeggdfaggcggcgfaggdfefffbaabfbafbbfgfeggfbbggdggffbcaaebafbdacaacfbegffgfcfcaacaeafdbacbbafdeggdcfffdgceegdgfedgecgdgfeedgdgeefeeefffcffeeefffdefeefgcdgefefdfdgeefefdfgfecfegcffgagfegdgbefffegeefcdgfegefgcfcffafegfefffagcfgegfffdefeeefffgcdgbgffgcfbdggffgeafggcffgfcgaegffggcdggaffggfebbgfgafdfdggfgbegafggfgcggcbfgfgddcggeefgdegfafffgdfgfcedfgdgcgdeefgeedfecgfgeggbfecfgfddbgfffgfdfbeegfgffegbedfggcggafdfggeddgfbgaaabafbgaaabbcdgaabbadcgafaggffggafgcggeegafggaggegagecgggdgagffefgcgagfggdedgbaaebbagbfgefddggbgfgdbfggcbgefggdgcfdceggfgcgefgagegcgfceeffgcgfeceeggcgfecffegcgfeefbggcggefcgcgdaeggfdggdbdggffegddbgfegfgddfgdgfcgddgefbgfgddgegagfgdfaeeggfgdfafefgfgdfgdgaffgdgegfedcgdgfagegdgeaggbfgfgebfgfecggebggceffgeceggegbgeedgaegggeeegcgbggefddfgbggefegeeecgeffefaeggeffefbefgegaedggegegbgeddggegdeddgegegedgbgdgegfgbcefgfafegfdfgfbaabaagfcfgcdffgfdgcfecggfecggddegfegcgaffgfegddbfggffcfeedfgfgaggdfcgfgffcbdggfggefcebgfgggbafeggcfefgafggdbggfgaggdgfbcffggdggbfecggedeeaggggefffcbfggfadfggcggffgaddfggfgedagdggfgeefbcgggceafeggggdbefcggggdcdeefgggfdbgceaaaeffaaaabafadfaabbceecaabbeeccaabedbfaaacaaeeeaacbbebfaacbcdecaacbfbebaacccbfcaadafbdcaadcebaeaaegaaeaaafeebaaababcegaababecddabaccbgcabbabcdgabbdbeaeabcbdcebabccdbebabcdccdbabceabceabdccfbaabdfdcaaabfabbgaabgccaadacadaecdacadfcbbacaebbceacafeaadacccdeabacebccadacedcdaaadaacebeadadbaedadbdebbbadccabgaadcdcaaeadcfacacaddbaaedadeabcbdadfacbadadffbaaaadfggfgdgaeaadcfaaeacaafdaeacafcbaeaddccaaebeebaaaebfadabaecccbadaeccdbcaaecfaabcaeebadacaefeabaaafadaaddafcbbeabafccbabdafdaabebafdaaceaafdagaaaafeadaacafebdaabaffacacaaffcbabaagbagaabagbbabdcagbcbdbaagbdbcabagcbadcaageaadabageeeggegageefgfgeaggdggdffagggeagggbababagfbacacgdabacbdebcbacfcabdbaeaacedbaeaadgabaeabadfbaeaebeabafcabafbagabbbebagacfaabagcbdbabbadeaafbbaeaadfbbafceabbbbaafddbbbfbdcabbcadbgabbcbfaccbbcgcaacbbdbdbaebbddecaabbeabbgabbfcaaafbbfcadacbcaaacgdbcaadcgabcaccbddbcadbebcbcaeaebcbcaeecabbcbbeeabbcbdfaacbccabeaebccbadcdbceaaeadbcebbcadbcfacadbbcfbcbbbbdaaaefbbdaaccfbbdaacedbbdabcbgabdadbdbcbdbcabfbbdccacccbegbacaabgaaaddbbgbacaaecaaacagecaaafbeccaabdedbcaacdadecabfeacacacbcccdcaccaaeecaccccbdcacdfbabcbafeaaccbbfdcaacbcadbebcbcbabbgcbcbdadccbdcabebcbddbdabccaabecdccaadfacccaccdbcccbaaaefccbadceaccbdbbcccccadadcccceabdaccdadaaeccdefggggccfdgegggcdbaaccecdbecaaccdeeabaacdffdggegceaebadacebebbbaceeeggeegcefegffgdcfbddaaacfegddfggcgbabbbccgbcaaadcgcacbabcgdfedgfgcgggegaegdaabcfbcdaadabgbdaadaeccdaaefabbdabbcbdddabbdebbdabdgaabdabebafadacdbaafdadbbebbdaeabacedaedabcbdaedbbbbdagabaaedagbbadadbaacdebdbabacfcdbabfdabdbedabcadbeecaaadbfaaafadcaabcagdcaebadbdcafbaaddcbaccdbdcggfdggdddabdbadddbcacdaddcbbaccddggdcfggdeaagbaadeadcbabdedacacadfcbadaadfgefgdeedgacacbadgeffggebdgfcegegedgfeeggecdgggddggbdgggefccgeaaaacfdeaabcbageaadceabeabcaaedeaeabbaeeaedacabebacdbbcebafadabebbadcdaebggegffdecbaecabeccccbabecdggegfeecegffeffecfegedggecfggfdgdedabbcdaedbacdabeddgfgedgededfgfegeeebabaaeegefgbegeegfbeeggeffgfccgfefgeceegfefggafcggegcffdgfeegdagfggeegddefgefegdfddfgfegefeegdeegfcdegffegffcdgefeggcgeaggeggfgedceegggdegfafaabbcfafaacdbdafaafbbcafabebadafacadbdafadadcabfbabaebcfbabbgaafbacbbdbfbaecabbfbbafcaafbcbbbcbfbdcadaafbegeffegfbffgfgedfbgbbaaafbgggefdefcaacbbdfcagbaaafcbcbcabfcdaaeaafceaaaadfcfggdedgfdcaaabdfddaadaafdefggegbfdfdgdefgfdffffgddfdggedfdffedggfdcgfefaggggcfefddegegfegcfdgfefegefffgafegfcgfedffddfcfggffdfgedfeffegbdgfffffbggcfffffgegdecffggeddfdfgdedggcffgdefffdefgdffgafffgecdggcgfgeegeddffgefefefcfgeffdaggfggafcggefggbeggecfggedggdbfggfagcgefggfddedfgabdabdagacbabeagadcbacagafegefeggaggfffgbgbaaccdagbabcabdgbbabbaegbbafaabgbfgdefffgbfgdfgfdgbggffffbgbggggafegceggddeggceggfbffgcfegaggfgcgfbgegegdcfgdgefgdcggffbggdffebfgfgdggbgfedgeccggfgdgecgfggebgedefeeeggeegffbefgefegcgdegefffbgcggegefcgdegegfegeafgeggbdegegeggedddfgeggfdcgcgfcdfgfgcgfeedgddggfefggbedgfegegefagfffgegcbgfgbdgfdfgfgbfefcggfgbgbggdgfgdcegeegfgdfcgbggfggbggccggbbefgfgggbecdgggggcdegegdggcdgbffgggddgfgfaggdggfedbggeefebegggegbgffbggegeecdfggfffbdgdgggedfbfegggfddcefgggfgbaegggggcfdgaaaaccfagaabdecdcaabeaegaaabfaaefaacbccfdaacbcdfcaadbbfdcaadbefcaaadcagbdaadccfadaadfbecaaadgdaadaaebecccaaeceaebaafdgaabaagbddcaaagcbcaeabadddafabaeabfeabafbbfcabafcfbbabafdaceabagacfbabbabgceabcabfddabcbecbeabccadgbabccbaefabceadcdabdaadfdabdacdbfabeadbceabeagbadabebbcceabfaaadgabgabcdcacacfbafacaeccfaacbadcfcacbbdgcaacbdbdcdacbddagaacbfaadeaccaedaeaccbeaecaccccdbdacdeaagaacefcaacacfbacbeacgbaabfadaaacffadabafgaadabfabfadbceadcadbdafdaadbefaacadcfdabbadfabceaadfcccbaaeaacgadaebabdgaaebacfadaebadbecaebccfbaaecbbdeaaeccfaacafadagbaafaedbcaafbbbfacafbddaadafbgbbbaafccccacafdacdbbafdadbcbafdbabdcafdbbacdafdbeabbafddcbabafeabcadagacdaccagbabbfbagfgedfggagfgffgcgagfggefgdbaaaceeebaabfdbebaaccgccbaacdfccbaafdddabaagdbbdbabbdgcbbabdbfaebabgaedabacaddcebacaeeaebacbfcccbaccccfbbacefcbabacfacfabadcacdebadcgaadbadeagbabadfbbbdbaeaadcfbaeabgbcbaeafebabaedbbcdbaefbaccbafabeeabafadgaabafdcabdbagadfaabbaaedecbbaaefccbbabdgcbbbacebecbbadbbcgbbbfabcebbccddcbbbccfaaebbceabgabbdaebafbbdafbdbbbddbdcbbbeaafaebbedaacebbefbdaabbfabgabbbfbbbbebcaadadgbcadccfabcbbbeebbcbbfdcabcbdadcdbcbfeaacbcccedbabccdcbdbbcdabfdabcdaebccbcdbdacdbcdcceabbcefbcaabcgabdbbbdabbcedbdadcbfabdbabadgbdbacbfcbdbaceccbdbbgbacbdbcdacdbdbddcacbdbgdababdcccdacbddaedbabddbaedabddbdbdabdeabagabeaaaecebeaafdacbeabgbbbbeadbaecbeadccbcbeadebacbeaedbacbebabbbgbebabcecbebbfdaabecbddabbecbeaadbedbbcdabeddeaaabegagggggbfabbfcabfafadabbfbdbbdabfbfbabbbfcadcbbbfcbddaabfgcggegfbfgdgggdfbgaaabedbgabbfbabgabebacbgafbcaabggbaabacaacdcbfcaaeaeafcaaedceacaaegabccabacagecabbaedecabfcaafcabfcebacacecbbdcacefcaacadabdgacadaccagcadbaefacadbbfdacadbcbddcaeacbddcafceabbcafedbaacbacdfbbcbaddceacbaefaadcbbbaffacbbbdecbcbbddcadcbcdcaebcbcgaabdcbdbbadecbfadbadcbgcaaccccacdbcdccadbcbeccbbaefaccbfbdabccbgcacacccebaaeccdbabgaccdbcbdbcceabaddcdaaddcccdaddbbccdafbeaacddbabbecdddbacbcddfggggecdebeaabcdfaaeabceaabbfcceabaeaeceabcaagceabdcdacebcccaccebdbbadcedabacdceeaaaebcfaaeccacfabbbdccfbdcbabcfcaaagacfdgcgggfcffcgggefcfggeeggccgabaccccggffggfadaaabffbdaabcbdfdaafcbeadabbbaefdacdbecadadccbccdadeadbbdafafacadagaebabdbaacdecdbacagaddbaddbccdbcaabgcdbcaacgbdbceacaddbdecaacdbebabbedcacbaeddcacbcbedcbcecabdccaddcadccbdaccdcdagabadceaagaadcebcbacdcgbadaaddadcadbddcaagbaddccbadbdeabaebcdebbeabbdedacbacdeedfffggdfacaabedfadabbcdfbbacdadfbgegggedfbggdgfgdfcfggdfgdfcgfgdfgdfdadbaadfdbacbadfeffcfggdffdgffefdfggeffdedgebfggffdggfeggcddgggfecgdeaacbdafeaacbeaeeaacbgaceaacdbfaeabcbddbeacaadbfeacaagbceacabgbbeaccacfaeadcdcabeaddccbaeaeacccbeaeceaabebabbcagebabccebebabgcabebcacabfebcccaccecaacdbdecabadcdecafacacecbcbcadeccbacccecefggdfgecegggdgeecfbacbaecfggffcgeddacbcaedfeffegfedfegefegeeaaecbaeeabbacdeeagaaabeebaacdbeebacbbceebgfdgggeeeefgfgdeefeeegegeefgcgffeeegfggdedefacbcabefefdffgeegbaadbaegeggefgaegfdgeedgegffffbegeggdgggdbeggegeegbeggffbggcegggggdccfaabfbcbfabbfbcafabcafbbfabdaacefabebcbbfabfbbcafacaccdbfacfbbbafadeaacbfbaeaaebfbbaeeaafbbcbaaffbeeabaafbfcbabafbggdgcggfcfdegfgffcfgfgfdefcgfgeffdfcgfggdfdfdbgegeggfedggfbfgffbfgffefffeefeggcffefegeeefffeeeegeffgeebggeffgegefecffggccgfefgbgeeggdfgcdfgdgffgdgefgfbfgefdgefdfgfdegeeefggcageggfggdadgggfggfgadgegaaaacdegaaafdabgaccebaagafaaeaagbafacabgbbacccbgbcaaecagbfddgggfgccababdgceababbgceggfgddgcfggfefcgcgeagggfgcgfgfgdcgcggfdefegcgggfbefgddgefeeggdefeegfegedfedgeggegggafcggfbbaacagfdgdfcfggfeecdfgggfeefdcgggffagegdggffgbddgggfgcggcfdgfgefffcdggcdeefgfggcfgafgfggdfcfggcggdgdfbfgggefffddeggffcefcgggffeebgegggebffeegggfebgedaaacgbfcaaadddcfaaaddfebaaaeeacgaaaffebbaaagaccgaaagcagcaabafeceaabbafdgaabcddgbaabcebdfaabddaefaabecdfbaacadgfaaaccbafgaacfadfbaacgcaagaadfgcaaaaeaagecaaedgaadaafbcfbcaafbdacfaafccbecaafcdbafaafeeacbaagbecadaageccacabacdgeaabafbdagabbacdfeabbcafcfabbcfgababbdabgeabbdfgaaabbeafcdabcdadedabcdbaefabcddafcabcfcdadabddafccabdfgbaaabeacaefabebccecabebdcafabebgaeaabeebaecabegbadbabgbbaedacbafdafacbcgbdbacbdbbcgacbgagabacbgbecaaccbbfafaccdadddaccddceaacdaaebgacdabgeaacdadgbbacdbfabeacdcbgcaacdcfccaaceadfacacebaafeacebafaeacedbaecacefccbaacfaacgbacfbabfcacfcacbeacfcaedaacfcdcbbacgaccdbacgcaabfadabccdfadadfdacadbaeebdadbbacefadbdaafeadbdadgaadcbdccdadcccdbdadccdcbdadcfcaccaddabfeaaddcbcbeaddddaccadfdacbcadgaaedaadgbeacaaeafabagaeagacdbaebagebaaebbccagaebdagbbaecdcbeaaeedcadaaefbbabeaefcbcbbaefcccbaafadcecaafbaedbcafbecbadafcbdbeaafddebaaafebbfaaafedccaaafgabaccagaadabgagafaccbagagaeaaagbaadagagbfaaaeagcbafbbagdaaebcagdadcacbaaagdcebaabbfgcbaadbdgcbaafageabaagbcecbabbcfbfbabceagcbabegdabbabfdgaabacaabggbacadceebacafbcfbacbcfebbaeadfbcbaedaafdbaefdbbbbafaaefbbafafaebbafafbaebagaagdabbaccfbebbaddcgabbafadgabbagcebbbbbbdeebbbbbffacbbbgacafbbcbbeecbbcdabcgbbcebdeabbdcccafbbddacgabbddcacebbddfdaabbdecbaebbdecbdbbbebacgbbbebeadcbbfeeababbgabadebbgabccdbcaaddbgbcaaeefabcacadfdbcaceddbbcadefabbcaecdbdbcagagabbcbabgbebcbaddbfbcbbdbbgbcbbfbafbcbcaaffbcbcddccbcbcgaeabcbdbafdbcbeabbgbcbebecbbcbfdbbcbcbgbafabccadcfbbccbdcafbccccccdbccedbbcbcdcadbebcdfaeabbceecbcabcfaedbabcfceaacbdabbbfebdadbbdebdadbcbfbdafbbafbdcceaeabdeadebabdecebabbdfaadaebdfacdbbbdgabaebbdgabebabdgacbbcbeaaaagfbeaacdcebeabcddcbebaddaebebccbfabebcecacbebeaaagbecbacfbbeccbbdcbedccaccbeeabddabeeacebabeeebcaabegdababbfaaeacebfabagdabfacbbddbfbaedcabfbcbbcdbfbdaagabfbeaaafbfcadbeabfcdabdbbfceabbcbgacebbbbgadbafabgbacdadbgbadcadbgbadebabgbbfaacbgcabacebgcbcdabbggeegfegcaacceddcaadfabfcaadgcdacaaefeabcaagbecbcaagdbbdcabacfcecabafecccabbadefcabdefbacabeeabecabfagbbcacbcdfbcaceabbgcacfbeaccacfbfabcadagaebcadccfaccadfacdbcaeccacecaeebdbbcafefaaacbacbfbecbaedafbcbafbeadcbbacbefcbbaeccecbcafebbcbcccebccbcddbcccbcedadbcbdccaeccbebdcdacbefadbacbfbaeadccaabecfccadadgaccbbccddccbbeeacccbcadceccbdbagbcccbecdacccdcafacccgaeaaccdabcceccdacebcccdaecadccdbaddcccddcaccccebaabgccebbecaccgcccaacdabbdgacdabccddcdacafcccdacbgbbcdbcbgbacdbdbdcbcdbdebbbcdccbbafcdccbbbecddccbadcdeaagbaceaaagaeceaadebcceaafaebceaebdcacebbbadecebbcbafcebcadaecebfacbbcecagcaacecbaafccecbdabdcececbbacedabafbcefccabacefdfgggfcefefgeggcfaaagadcfabaaeecfabgbbacfbbaaedcfbcbbcccfbcbbdbcfdaeaaccfebadabcfgfcfgfgcgaaabcfcgaaeacccgbcaeabcgcagaaacgdbdaabcgfcabaacgfgggeeddaacgebadaafccbddabbbdeddacccbagdadaaedddadcabeddaeaafbddbaabdcgdbaeacfbdbbbadeddbbdbagbdbcadbfbdbdabeccdbdafccadbdbbbbfdbeacabfdbfcadacdcacabgcdcacecdadcbadgbadcbbcbcedcbbddaddccfbcbadcfaebbadcfegfgfgddaabfbdddadacafddbcafcaddbcbaagddcbbaagddcdbcacdeaacdeadeabcbafdeadaceadebafcabdecbaabfdeeadbabdfaafdaadfbcaebadfebaaaddffaacabdgaabdbcdgbabdacdgdaaeaadggcefggeeaaaabfgeaacfbbdeaacgcaceabcbgbbeacadaedeacagdbaeacdedaaeacfbccaeadabbgbeaddaddaeaebafbbeaebbecaeafadbbcebaaebagebabddbdebbcbdbdebcaaecdebcbccaeebcebbbcebdbadeaebdbcbbdebebbcbcecbbfbbbeccdbaaeecdacbbdeceacabdecebaaebecebdbabedaadaddedabcdadedacebbbedadabdcedafdaabedbaacfbedcaaecbedcaeacbedccabcceddbbdabedddbacaeddggdggfeeabbccceeafbbbaeebbccaceebeabcaeegfcfgffefaacabeefeggcegfefgfcggeeegdaaabcegddgfgefegfefgegcegfgeddfgegggggdebfaaaaffbfaaafbfafabbecbcfacgcabafadacceafadbbaagfadcbdcafadgabbafaebbbdbfbabaaeffbaeacccfbaebebafbbbbcfafbbdeaacfbcabfbbfbcbedaafbdacacdfbeacdabfcaaaadgfcacdbcbfcagbbabfcagcaabfcbaacagfcbaadaffcbcacaefccbaaagfcecbbbafdafacabfdcdabcafeaadccafeadccaafecbdbaafedeffeggfeefgcgfffefabaabffaaabebffaabbeaffbabaccffbadbabffcgbgfggfffaggegfffffgbgfefffgddgefffgccggegfgacacabfgbaabadfgcgeggdefgddeggeffgdggeggafgefegcfffgfbgggcffgfeeffcgfgffgcgbgfgfgdfcegfggcggafgfggdcgegefggfgceeegaaadfbbgaaagcacgaadecabgaagdaabgabbabgbgacaacfbgaccbaafgagbbbbagbbadbeagbbcdcbagbcbcbadgbebadabgbecabacgbeeefggggbfabcbagbfcbabagcaaacecgcaeaaaegccdaacbgcefgfdgfgcgefggcfgdabdbbbgdacabaegdbdbbbagebacabcgedgcgfeggeeagfggfgeegbgdgggefgffegbgegfeeggbgfaccaabgfddggedggfegfcegegffbfeggegffdeggfcgfffbgfefgffgbeefggffgcgggagfgddgdgegfgggbfedgfgggdgdbggaacabbggadggefgggdcgggdeggfbdgegfgggaeeffggggagcfgfgggfffcbggggfggfbbggggbgcefaaabaggeaaabceegaaadgfbcaaafdbfdaaagdfbcaabaeaggaabbbgcgaabcfadgaabcggbbaacafeddaacafegaaacbcegcaacbgfdaaacdaeeeaacdagceaacegbccaacfaceeaacfgbadaadccgdbaadcgaddaadddfcbaadeeaceaaebecagaaeddfbbaaedfabeaaegdbbcaaeggabaaafeeabdaagbadbgaageadeaabadfagcabaedefaabaegaceabafceafabafdcddabagdacfabbcbcgeabbfdeadabbfeaceabbgagbcabcbdebfabcbdfafabcbeeebabccccdfabccdaefabcdafceabcdbaffabcfbeccabdafeeaabdaffbcabddbbeeabddecccabdedaagabdeecdaabdfbecbabdgcbdbabebdcbfabecaegaabeccfbcabeceaceabegbdbbabfabaegabfdabbgabfdbdbdabfffabaabgbbfbcacaagaefacacdcgcacadgbdcacaeeadeacaefcbdacbabegdacbbfbfcacbcbcgdacbcccdfacbcecfbacbeebfaacbfadbfacbffaccacbgcdbcaccacgebacccdbgbaccdccddaccfccbdacdacddeacdafabgacdbfaecacddacbgacfbccdcacgcaaedacgcccbcacgddadaadabfgacadacabfgadadecdcadagaeaeadbaebfdadbbfagbadbdfbeaadbdfcdaadbebddcadbefaeaadbegaadadbgbceaadbgcdbbadcafcebadcdbbfcadcdbeeaaddabdbgaddaeacfaddbadbgaddbbcfcaddbbefaadddadfaaddedcacadedaacfadgagbbaadgbfcaaadgeaaccaeabaaggaeadadgbaeadbbgcaeadbgcbaeadeddaaeaeaefaaeaedaagaeafcbfaaeafcdbcaeagaddbaebdbbdeaebdbbedaebeddacaebfdbadaecccbecaecgbbbcaeddadeaaeddcbccaeeecabcaefdeabaaegfbaabafabdcecafaccagcafaccedbafadfaccafaebaedafafgabaafagbacdafbaadeeafbabceeafbacafeafbacdfbafbadcbfafbbbgdaafbcacedafbdaeaeafbfabfaafbfcaccafcbbdcdafcbebccafcdbebbafcebbdbafceeabbafdabadfafecbbaeaffabcdbaffbcdbaaffcbbadafgebaabagafadcbagbaedbcagbbabeeagcaebccagcbecbbagccafacagdadaafagdeaaaeagdecabbagebaceaagebaebbageebaacagfcabdaagfddaaabaaddaffbaaefbcebabcagedbabgcafcbacbfcfbbacccfdcbacdgccbbacfbcgabacfdaagbacgaeeabadaebdfbadbbdgcbadddbcebaeecbafbafdfacbbafgaacdbagafdacbagagdbabageacdbbagfaabebagffaaabbaagfeabbadcdgbbbafadedbbagdcaebbbabcfgbbbffbcbbbbgbaedbbbgcagabbcbbcfebbcbcgdbbbcbdccfbbcbebdebbcebbedbbcecbddbbdaccfdbbdbefcabbdbfbfabbdccccebbdegbabbbecdbafbbedaeaebbefbebabbfccacebbfdabfbbbfdcbaebbgaadcebbgaafeabbgfccaabcaafcgbbcaafgdabcadedbdbcaeaecebcaefcbcbcafaedcbcbeaedcbcbgacfabccaddddbccffabbbcdcedacbcecaaeebcfcaddbbcgbafbbbcgfacbabdaacefcbdabcegabdacdfcbbdadeecabdagafcabdbabeedbdbadfdbbdbbccedbdbdbeeabdbeedbabdbfdaaebdcbcebdbdccadfbbdcdacbfbdcfabdcbddabbdfbddcbccdbddeebabbdecdbadbdfcbbccbeaccbdebeaeadafbeaecacebeafdeaabebabdfcbebbafbebebccabgbebfeacabebgcadabedacadebedbbfbbbedbebbcbedfbdaabedfcabbbefabdadbefadadbbefdaaeabfadbagbbfadcfbabfbbbdcdbfbbbebdbfbdbbcdbfbecbcbbfbfaacdbfcbcgaabfccbacebfceccbabfcgabacbfdaaeeabfeaaafcbfeaeacbbfgbaabdbgaabfdbbgabcbecbgbacbgabgbdaeacbgdfaaacbgeceaaabgegggfefbgfbbacbcaabdffbcaacadegcaaceccfcaacgedacaagcafccabafbdfcabdaagfcabdgdaccaccacgdcaccccfccaccdadfcaceafcccadcfabecaeaaddfcaeebdadcaeedaaecaeedabdcaefbebacafaeccccafedbaccagbcabfcbabadffcbabadgecbabcedecbaecgbbcbaffccacbaffdabcbagaacgcbbafafdcbbagfbbcbbbbdcgcbbbgdadcbbdeaeccbbeagcbcbcbebddcbceacddcbcebfbbcbcecceacbcgaacecbcgbcadcbdabdfccbdceeabcbdeagabcbebaebecbebfcaccbecagbbcbedaafccbfaebdbcbfbabbgcbfdcacccbgbeabccbgfaacbccaccgadccadaegaccbacdedccbaecddccbbdbbgccbbgadcccbdagcbccbdbedbcccacbfdcccafeaccccagacdcccefbabcccgaeabccdddbadccebdcadccedbebaccegaacbccgaebacccgbbcdaccgcacbcccgcccbacdabeedacdaeabedcdagabafcdbbeeaccdbcddadcdbfdadacdbgcabccdcacbdecdcbcbddcdcbfaeacdcecaaecdeaaaeecdeacgaacdebbaagcdebbbcdcdebcafacdeeacbbceabadgbceacdbafceaeacebcebbbbdecebdagbacecbagcaceccbagaceccbbbececedbbaceeaebbbcfaadeadcfaagaeacfabcdeacfabeaafcfadbdbccfaeadcbcfagbcbacfddadbacfdeaabccfffaaaacgababdecgabecbbcgaebbdacgbaacddcgbabbddcgbabfbbcgbccbcbcgbecbabcggfggfeddaaaggacdaacecbfdaadgdbbdabafddcdabbabfgdabebdbedacacfdcdacagdcbdacfbdcbdacgccbbdaddecbbdaeadfbbdaebeacddaeccbafdaeeacaedafbcaecdagdbaccdbaagbecdbadbdfbdbaeacfcdbbbcgdadbbbfacedbbbfbdcdbcbeabfdbddeadadbfaaagcdbfebbcadbgaaaeddbgcabbddbgcadacdcaaagdddcabfbdcdcaddcaedcbacgaddcbagbeadcbcaedcdcbebacedcbfcccadccacacgdcdcbadddcdgbaacdcecceaadcfafaacddabdcebddabddbdddadabedddaeaagbddcdaddaddeabfabdeacddcadeaecccadeccaagadeccadaddecccaeadefaccbadfabccccdfabccdbdfbagbabdfccaebadfcfacaadfdabbbddfddaacbdffggfdgedgaabadedgacbacddgacgaaadgadcbcadgbccbcadgbdaadbdgbfaacadggfgedgeeaacfgaaeaaeaagdeabbdceceabcbbcgeacbcfcbeadbcbgaeadbgbcaeaeacecbeaeadcaeeaeebbdaeafcdadaeafeabcbeagcbcacebabcfaeebacdbceebbddccbebcacgcaebccbbbfebcdadaeebcdddabebdacfcaebdadbebebdbbbecebdbeaeaebdcafacebdccbaeebddcdabebdfaabdebdfcacaebeabcfaebeabebcebebbbcdebecbbbdebfdbbbbecaaebagecabeebbecadccbdecaddafaecbagabdecbbbbfcecbfccabecbgeaaaeccbbdeaecccddbaecfcadbaedaaebfaedabaagdedabdeacedbbacecedbcebcaedbdabebedcbbcaeedgggdefgeeacdccaeebcbebaeecaagabeedadacbeeddbacaeeebbacbeeefggfdgeegdfefggeegffefffefbcadbbegaabdbcegggfbgdgfaadaefafaaebafcfaafbfbafabaadgcfabaccgbfabgbabdfacaafdcfacaccfbfacbabdffacbcadefacecaaefadbecbbfadcbcaefafaadccfafacbeafagcbacbfbabbafefbabbdecfbabdacffbacccfafbbbedbbfbbecbcbfbbfcacbfbccabecfbcdcbadfbeadccafbeggfgegfcabgbbbfcacfdaafcbafaccfcbdceaafceaadbcfcebabccfdabdcadfdaeabbdfdaedaacfdbaeabdfdbbgbaafdcbabfafddabaebfddcbbbbfdebacbbfdfbacabfeaaeabdfeabacebfeabbdadfecbabeafecdacbafedbadbafedbcbbafedgffgdgfegggefbgffadbcabffbadcbaffcfgeeggffegfefefffffedfgffgecefggffggfffagfgaabfbaegaacddbcgaadcaaggabacfdagabbdddagabcfbcagabeebabgacbedbagaccbbafgacebdbagadbdbadgadcabfagaddaafagaeacebagbaadeadgbabcdccgbadaacfgbbbceacgbbfadbagbdbcccagbebbaeagbfbdabagcagabbbgcagbbbagcbabbcegcbdadacgcdccbabgcedabbagdaaaebdgdaafadagdabdaeagdaeaaccgdbcbbadgdcafabagddaacdagdeadbaagdfgdgeeggdgabbaagdgggfefcgeaaaeadgebadcbagebdabcagedgfegefgeefggdgdgeggefffcgfddfgfeggfgbdfggfggcfeegegggcgffefeggfgfbgdfgggbfgffdaaabefdfaaabgebgaaagfbagaabebeeeaabfdcgbaabgceafaacagccgaacedbeeaacfgccbaadabeegaadafbfeaadagbeeaadbgacgaaddcfcdaadebgeaaadfddbdaadfeaddaaebafgcaaebcecfaaeceafdaaecececaafbdagdaafceeadaagbcdfbaagccaeeaagdbaeeaageagacaagfeabcabaaddgfabaaedgeababdefeabacccfgabaededdabaeffcbabafafgbabafdefaabbadfdfabbcbdgeabbceefbabbcgdfaabbdbffcabbdgcbeabbegbebabbgfeababcbefbeabcbfebeabdacgfbabdcfccdabdffccaabdgacfbabdgbcdcabdgcbdcabeaeaefabedbadgabeddedaabefgcaaabfccagcabgaccfcabgafbbeabgbfaafabgebbfaabgfbcadacaaddegacadbgfbacaddfafacaddffaacadgbbfacagaffaacagbeafacbaebgeacbbadgfacbbdgbeacbbfedcacbcbefdacbdcgaeacbfadbgaccebeebaccfccdcaccfddadacddbefaacdgfabbaceaaecgacfddcdaacgbdbafacgbddbcacgdafcaacggaaeaadadccdfadadfebcadaecefaadafafbeadagcfcaadbaefafadbbcedeadbdbdbgadbdfeacadbdgbaeadcabfgbadcbedfaadceabgcadcgbcdbaddadgbcaddafadeaddccbedadddebccaddeafbcadeagaafadfabbeeadfafbbdadfbcddbadffacbcadgafeaaaeaabgbgaeaacegcaeabbaggaeabgcafaeadfddaaeagbbceaebbdgadaebcadeeaebcaegbaebdbeebaebfbbecaebgbaagaecbacfeaecdbcgaaecebfacaecgagaaaecgeaacaeefcbcaaefcdaaeaefcfabbaefdcaccaegbacafaegbccadafaacfecafabeagcafacbgeaafacgfaaafaedagaafbaddagafbadebeafbadfaeafbagcbdafbeaeccafbfdbbcafcafaceafccadecafcffaabafdbagcbafdbfdbaafdcabbgafebbdccafebcfabafeddbacaffcceaaaffdaccbagacageaagagcdabagbbcddcagbbfbeaagbcecbcagbdaadfagbfdbbbagcbdddaagccccccagcdbecaagdbcaddagdcadbdagdcfacaageadeabagfbadcbagfdaaaeaggadabcbaabcffebaaeeafebabdfacgbabeddgababedefababefeadbabfdccebabgaceebabgccfbbabgcgcabacadcgebacdafgbbacdagddbacdgebbbacdgfabbaceecbebacfbfbdbadaegbdbadbcdfdbaeaaegdbaecagfabaeceeadbaecgaafbaefaadfbafaafedbafabgafbafbdcfbbafccdcdbagbaagebagcfbcbbageaacfbaggeaabbbaacgcgbbaaggaebbafaedebbafafecbbagdecbbbbbgaeebbbccddfbbbdfebcbbbeccdebbbgdaecbbcbcdeebbccfbgabbcegaccbbcgebadbbcgfadabbdbaggabbdfbbbfbbedcabgbbeecebbbbeedbaebbefagabbbffdacbbcabffdbbcaeccgbbcaefacebcagagcbbcbeccbfbccagacfbcccecbebccdfbdbbccfdbeabcdaagfbbcdacdfcbcdbaffbbcdbgcadbcddcagbbcdffabbbcebcbcfbcedbbagbcfbdcaebcfccaagbcfeafabbcfebdcabcfgcbabbcgccabebcgeeaabbdabagedbdabbegcbdabdfbebdaccaffbdadedccbdbabeeebdbfdccbbdcabfbfbdcafgbabdccbfeabdccfaafbdcgbabebddeabddbdeadddbbdebbbcfbdecdbaebdedbfbabdeebbbdbdefaacdbdfagcbabdgbadeabdgbbbdcbdgbcdacbdggaacabeadbdfbbeadeacebeagdeaabebaagecbebbfbebbebcddaebebeccdbbebedebabebfdbbcbecbaegabeccdceabedabdbfbedcbcbebedceaccbedfabeabefbbaddbefbebcabefebbacbegabfbabegadbbcbegbfaabbfaacbdgbfacccfbbfacgadbbfagbdbbbfbafaecbfbbdadebfbcbeeabfbgadcabfcadadebfcbbafdbfdagbcabfdbbbgabfddfababfeaeadbbfeafacbbfecagaabffcdabbbfffaaacbfgccaacbgabdfacbgabecccbgabgaeabgacccbebgacdcccbgcaabdfbgcacdbdbgcbcaddbgccaagbbgcebccabgecaacdbgegaaabbgggdggffcaaafagfcaabgebecaacfadgcaafbagecaafdfdacaagccddcaagcedbcabdbddfcabdgebbcabecccfcabefccccacafgadcacbfbbgcacbfcddcaccacffcacfafaecacgeeaacadcafddcadebcagcadfbafccadgdabdcaeafcafcaecfadccaefbagacafbdadecafcbccecafddcbccagacedbcagbcadecagbcedacageaeaccbabdedecbbeddeacbbggbabcbcbafedcbdcfdcacbdcgbbccbecagdacbegbbdacbfbgacbcbfdbccccbfeadbccbgdbbdbccaafdddccacagbfccadgccbccbbadfeccbegadaccbgdbdacccecbfacccfccadcceacbgbcceafabecceccdadcceedaadccfbbccdccfbdeabccfcfbabccfdcabdccgacabfccgdadcacdacacefcdaccdddcdacfeaccdacfgaacdbcbgadcdbccccecdbceagacdbcgabdcdcbbfeacdcbdfcacddbfbcbcddcbdeacddcdafacddcecbbcdddbbdccdddcabecddddeaacdddeacbcddeaabfcddeagaacdfdbdabcdgbfbaaceababffceafecbacebbbbdfcebbebafcebccbbfcebeaddbcebefacacebfcbcbcecadcfacecbgaadceccgaaccecfeabacedabceccedcabgacedfabbcceeaagcacefbacdbcfaacgadcfabaeagcfacbafdcfadaacgcfafccaccfbdafbbcfddbbadcfeaaecbcfgfdggfgcgcbdeaacgdacdcacgdcdbabcgeabebadaabcgagdaabgacgdaacccdgdaadegbbdaafaccgdaafbfbddababdgedabbabggdabbgfacdabcagcedabcfddbdabdbefbdabdebagdabeeadddabfedbbdabgebdadacbafbgdaccebcedacdadbgdacfccbddadeabfcdaeabbdgdaeddaebdafcbccddafecdabdafgadabdafgadbadagaaddddagbadfadagbebdadagcbbfadbaafddddbacegbbdbafcbagdbbaddgbdbbbdfccdbbbegbbdbbcaededbbcddfadbbfaeeadbbfcaagdbccaccgdbcdeabedbcebabgdbdaadfddbdcdafbdbdeaedadbebcgabdbfabcfbdbfabeeadbfafeaadbfdeaacdbgadaafdbgbacfadcadaeagdcaecadedcagbcdbdcagdcacdcbbafcedcbbbagedcbcgaaedcbfbagadcdcdbeadcdcgbbadceacebcdceedacadcfbbcccdcfcaafbdcgbdadaddaaeafdddaagdbcddabebbfddacecaeddaceddaddafccadddbcbeaeddbdfabcddbeacbeddbeaedaddbgabbdddbgcbcaddcbbacgddcbbedbddcbcedaddcbdceaddcccbfaddcddabdddcebdacddceeaacdddbabfcdddbcdadddebacbeddgacbbcddgbcacbddgcabcbdeaafadddeabdeaddeaccbdddeaddadcdeaedaeadebbabeedebbcbdddebcedabdebdccdadecaadfbdecbbddbdecccccbdedabbcededadaebdedbccaddedccadbdedcdaaddeebadcbdeecacdadefcbadadegcbabbdfadcafadfafbaaedfbddbbbdfbgabbbdfdbbbccdfdbcaeadfddbaaddfeccbbadfeebbaadgaabfaddgaaddaddgaaeebadgbaabbgdgbbbafbdgcbbaafdgcbbaebdgccaaafdgggggefceaaacgddeaaadgebeaaebccfeaaebdbfeabaefdbeabccdbfeabcdafdeabeadfbeabedbcdeabgaacfeacdbgcaeacdfadbeaceceaceacfbfbaeadacdageadaceebeaebaafeeaebdabfeaeebdcaeafaafdbeafcbaddeafebabdeaffbbaceagadadceagaebdaeagbcaafeageaaaeebadddaeebaefabdebbaafdeebbcecaeebbcecccebcagabeebcbfccbebcdbcbeebcdcaecebebaeaeebedaddaebedbabeebgafacaebgdaaeaecbabaffecbadcececbddfaaeccdadcceccdcbdbeccebadcecedadbbecfaacdcedaabgdbedaacgdaedaadbededaaeagbedababgdedacebbdedacfccaedadddbbedadfadaedcbagbbedccagbaeddabddbeddcbcdaeddddaacedeaebacedebaafbeeaagacceeacafbceeacbadeeeacdeabeecbabgaeecbdbadeecbdccaeecdbeaaeedfabbaeefgffdggeegacaacefaagbbbefbbagabefcbaaddefcbdbacefecabbbefgbbbaaegaaaddcegaacceaegcfabaaegdaacdaegdcaacbegebabacfaabfdccfaacabgefaacfddafaagbbebfabbcfdbfabbfceafabcaceefabdcbecfabdfdabfabebagbfacafaecfadccecafaddccbcfaeaabcgfaeafbdafagbbebafagbeacafbabbgdbfbabdbgbfbabgacdfbbbdbfbfbbcbddcfbcbagadfbcegaaafbdcbecafbdfcbbafbebcbdbfbeggggfffbgeaaacfcaabeagfcabcagcfcacabeefcadabgbfcaeebcafcbadafcfcbbaefafceaccadfceafacafcfdacabfdaaabdgfdaafacdfdabbaeefdabeabefdabebdbfdacbfcafdbaecbcfdbdbbaefdbdccbbfdbeadbbfdcbdbadfdcbfbabfddaadccfddabbebfddaddabfddaeaadfdfabeaafeabbcebfebabaedfebacagafebbaabgfebcbebafeceaadafefggdfegffacbdcaffaebbcaffbdcaacffcbeaabffeaabcbfgaagaabfgabadcbfgbaabdcfgbcdabafgggeedeggaacdbcegaadbeeagaadcdccgababgbdgabcddcbgabdbadegacbeacdgaccbdeagacdadeagadccacdgadceadagaebabddgaecbaebgafbeaacgafcabdbgagcbbacgagcbcabgbafaebbgbbafaafgbbbadecgbbbdcdbgbccdadbgbdbbacegbeaaebcgbeafaacgbebcadbgbeccbbbgbfaaaaggcaeebbagcafcabcgcbadceagcbaebdbgccacaecgcdaaacfgcfabbcbgcgacaacgdaceaadgdcabfabgdcdabadgddggfdgggdggggcgdgeaaaadfgeabbbfagebadaccgebcdbabgedacadageeefgegfgefgggefcgfbabeabgfceaabagfgfgfddfgfggafggeggbggeefgggdfegcggggeababaggegefdgeggfcfggfdaaabfedgaaaedffcaaaffdfbaabddfcfaacfbfagaacfcgeaaacgcfdbaacggebaaadbgedcaaecgbbfaaedddfbaaefgbdaaafbcffbaafbgadeaafdcebeaafedafcaaffgadaaafgaaeeaagabcgeaagacdgcaagafcbfaagbdaefaagdadcfaagdbdceaagfdccbabbagdfdabcaebgfabcafbffabcbfdbgabccagcgabcfgbdbabdecdbfabdfbccfabeaddgcabeaefcdabeebdceabeeedbcabegbcdcabfabedfabfdaeecabffbabgabgbaedeabgbfcaeabgcdbfbabgddcdbabgeacceabgeeccaabgfcbdbacaeedagacaefeeaacaegebcacafbfbfacagfaceacbcdeedacbcfeebacbfgcdaaccaaefgacceeebcacdabefeacdbcgbeaceaedbfacecbcgcaceceadeaceebcceaceegacbacefcecaacfcebcdacffbbbeacffeaadacffgbaaacgbcebdacgcafbdacgcfaccacgeadbdadabbcggadabfeddadabgfaeadacbgdeadaeagfbadagfcdaadbbdfecadbbfbeeadbeceafadcbecedadccefcbadcegcacadcfabcgadcfaecdadcfecadaddabfedaddafdafaddbccdfaddbgaecaddccdceadddedbcaddecgabaddfdaebadebabffadebdbdeadeddaagadefaebcadefbaddadfadagcadfbaebfadfcbebdadfcccbeadfebbcdadffebabadffebbaaeaaaegfaeaaefecaeaagadgaeaagcgbaeaebbefaeagaaefaebaeccgaebbgcfaaebcdfbdaebcefcbaebeceeaaebfeaebaecacgebaecaeebeaecbcbfeaecbfbbfaedbfcdbaedcagbdaedcecaeaedebebcaedgadadaeebaeagaefafacdaegafaeaaegbacgaaegbecbbafabcfecafacdeebafaeabfeafbaefbdafbagddbafbcfcbdafbcgafaafbfabedafccbeebafcgaafbafdabdbgafdbaebfafddbbagafdgdcaaafeaabfeafgcaecaafgebbcaagaadfafagacebecagaffacbagbagabfagbbgdbbagcbcgcaagdcceacageacbbfagfacbebaggababfaggcbbbcbaacfdfdbaagfbbfbabaegdebabcgfeababedfbebabfdccfbabfdcdebacbecdgbacbefddbacdadegbacebfddbadeceebbadegcdabaedaecfbaedaedebaedbeecbaedcccfbaeebfaebaeegbadbaeggabbbafaafeebafbfcebbafefcacbaffagacbafgacdcbagcbecdbageaeccbagedebabagfbbfabagfedaabbadfbdfbbbedbcgbbcbgccebbcgdcbdbbdaefebbbdbafgcbbdbcegbbbdeeebbbbdfbeccbbeacbffbbeaecfcbbecadgcbbedbeebbbeebdebbbeebeaebbfaaeeebbfdfcacbbffbebbbbgdedabbbggabeabcadfccebcaebdfdbcafcaefbcbaddfebcbbgeccbcbdefadbcbefacebcbfdccdbcbfedbcbccdccedbccddcbfbccebcfcbcceeddabccfdbebbccfgabcbcdcabegbcddeabfbcddedadbcdebaeebcdefcacbcdegbbbbceagbfabcfagbeabcfagcadbcfbbafebcgdaadebcggacacbdafccfbbdbbafeebdbbcdeebdbeebafbdbefccbbdbgfbcabdcaagcfbdcabefdbdcbdafebdcfgaacbddabfgabddbfbafbddbfebbbddcacdfbdddecbcbddeddbbbddfdcbbbdeadcgabdeaecdcbdecabfdbdecdaecbdecebeabdecfbadbdedddacbdfadbgabdfeaaecbeaaedgbbeadbcgcbeaeadcfbebcfagabebddecbbebfbddbbebfeaaebecaddecbecgaecabedddafabedebacebeeebccbbefacabgbegaaadfbegabbbfbegagabbbegdbbdabfafeaaebfbaebdebfbccfadbfbccgacbfcdbecbbfcfcaaebfeadceabfebaadfbffbdbdabffbdcacbgabdcfbbgafadeabgafcbbdbgaffcaabgbacdbfbgbadbcfbgbafdcbbgbafeacbgbbcafdbgbceccbbgbceeabbgbeagabbgbeebbbbgbfaabfbgdaddbcbgdeabaebgfcabbdbggcaadbcaacccgfcaacedfdcaagbeagcaagdaeecaagebagcaageedacabddfdccabddgaecabdedddcabfaefccabffcaecacafceecacbaffecacbdcfecaccefeacacefdcbcacgacgbcadbcgfacadcddgacadecgbbcadfbbfccadfbceccadffbdacaeabfgbcaeagdbdcaebaddgcaecdcagcaedadbgcaeddccdcaeecdcccaeedagacaegcbcccafagagacafccdfacafcfcbccagbacgccagcbafdcagccbgacbadggbacbafbccgcbbbgcagcbbcfddccbbfdcfacbcafadgcbcafcgbcbcgdcdacbdaadgecbdacfeccbdbffbbcbdfcbafcbecbeebcbeddcaecbedgcabcbefacbecbefdccacbfacagdcbfbadedcbfcdgaacbffbfaacbfgabdbcbgbcadecbgcaacgcbgfaadcccacdcfdccadbfgaccaeabegccafdagbccbebccfccbgbgbacccafdfacccbfabgccccfbfacccfdafacccgdbbcccdadccfccddbecccceafaceccedfcabcceecbbdccfabbcgccfafccbcdabgcebcdabgedacdagfbbbcdbeacfccdccdgabcdcdefaacdcdgbaccddaccedcddafacecdddbacfcdeabdbfcdeebdcacdfbacbfcdfcbcdbcdfgabaccdgacaddceaaagbgceaabgceceaadbgdceabbfbfceabcbgdceacdeccceaddbgaceaddfaccebcbfcccecacedcceccbfdacecdeacccecfcccacecgabbdceddeadacegabddacegafbbacegbacaecfaabbegcfaacfdccfabagcdcfabeedacfbaacdgcfcbeabecfdbcceacfeadbaecfecfabacfgaaafbcfgdaacbcfgfggegfcgabagdbcgbabbgccgbcaceccgbgabbccgcaacdecgcadcdbcgebbadccggaadcadaaadfgcdaaaecgedaadafeedaaggbcbdabdaecgdaccfcdcdacdecbedacfadagdadabdfedadabfdedadaeceddadbdadgdadgccdadaeaegacdaedbfaddaedddcbdaefbecadafaaebgdafbadcfdafbcebddafcabdfdafdacdddafdbcebdafecccbdafgdacadagaccbfdbadgbcddbaebgeadbaedcdddbaefaecdbbacddgdbbbcegbdbbbdebfdbbddcagdbbgabgbdbbgcddadbccbddedbccgdcadbcgcfaadbdaceecdbdcadcfdbdeccdbdbdffabbdbfaageadbfaebafdbfgbcbadbgbadbedbgcaagbdcaaefafdcabbffcdcabedfbdcadabffdcadfagadcafabcgdcafcdbddcbcbefbdcbcdacgdcbdcfcbdcbeadecdcbedddadcccdagbdccddacedccddfabdccfagbadcdabgeadcddcbfadcddccccdceadddbdcebbdbeddaffdaaddcafabfddcafbcddddbbeaeddeaeaebddeagaadddeceaadddedaceaddfbbagadeaabgcddeaaddfbdeabfddadeafadbddebbbgaddebbdbcedebbeaagdebceacddeceeabbdedbabdededcbcdbdefbccbbdfaadbfcdfaaedbddfaaefcadfaagcbcdfaebceadfafbebadfcacfacdfcceacbdfdabgbadgaagcbbdgacacbfdgaebbeadgaecdabdgcbadccdgcdaafadgcedaabdgdaeaaddgdcbadbdgfbcacadgfdbaabeaabbgbgeabafcfceabbdebfeabbffcbeabcddddeabddgcaeabeccageacadgcceacbdccfeacbebbgeacceecbeacdeabfeacgdbdaeadcabefeadcfdbbeadfdccaeaebafafeafdaeadeagadebbebabaedgebabcbffebaedcfaebagabgbebagdfaaebagedabebbabdfeebbbcfbeebbdabfeebbebbdeebcagdadebcbcfaeebcdacgbebdbfbaeebdbgccaebdccabgebdebafbebfdcaccebgafbacecaaabggecaabfdeecaafcfbecaaffcbecaccdagecacecdcecadbgbcecafcafbecafebadecbaeafdecbaebbgecbcbeafecbceaececccbcececcdbbfbeccedeaaecdadbceecdbfbdaecdcbbgaecdcbfbbecdcdccbecddbagaecddfaacecdebcbcecdedbcaecebcbbeecfccccaecgfabbaecgggfeggedaafbbfedabefacedaceecaedadabcgedaefcbaedbaceafedccfbbbedecaebbedgaabebeeaaefbbeeaddbaeeeaebfabeebbacfceebcaaeeeebdbfabeebdgabaeecaccafeecafabdeecafdabeecbbdaeeedbbbfaeeebbadceeebcccaeegbabdaeegegfffgefabdbbeefacgacaefbbccdbefcabbecefcacfabefccadcbefdcdcaaefddcaacefecaaaeeffebaaaefgdgfggeegaafabdegabcbebegacbcaeegeaacbcegeafaaaegebcabbegfbacabfaabcceffaaebedcfabbeccefabecbagfabecddbfabfadaffacabdgcfacabfbffacaecbffacagfbafacdbfcbfacebbddfadceabefaddagbbfadedbdafaeddaccfafacgbafafcbeacfafcfcaafagaddbbfagfcaabfbaaedcefbaaffcbfbabddbffbadcbgbfbaebdfafbaebedbfbbdacedfbcaafgafbcfaaddfbdbaafefbdcbadefbfbceabfcaadedcfcaadeebfcabfeacfcadbadffcadbafdfcbbgdbafcbcafdbfcbfbcadfccaccecfccaegaafcdcdcacfcdddaadfdadeaaefdafcadbfdbbacedfdbbgdaafdbdbcdbfdbfaebafdcabbcffdcdabcdfdcdadadfdcdbdbbfdcgacbafdcgcabafddbdaaefddeabadfdfadbbbfeabeacdfeacaebdfeacbbagfecbbebbfecdebaafedfggfgffedggegfgfefcaadaffacabfbffbdbcacffcaccdafgacdcbafgaffggggfgdfeggfffgebbbbafgeffcggggaaacgafgaabeagcgaadbcdegaaddabggababgcdgababgebgabcadcfgabddbfagabeeabdgabfcaebgabgabcdgabgccbbgadbdafbgadfdabbgafceaacgagdaaaegageaaadgbaaceddgbabbeddgbabcgdagbaeccccgbbaacdggbbaaebggbbaebecgbbefacagbcdacebgbdabagcgbdbadfagbdgabcagbecebbagbeeccaagbfbagaagbgcdaabgcabfdcagcaceacdgcacgaadgcagbadbgcbbcbaggcbbfaccgcbdaccdgcbdagbagcddcbbbgdabadecgdbccbdbgdbfbbcagdcfbcaagddaebbbgdddcacagdeaabafgdfbcacageaccbbdgebbcafagefeeggffgefgggbfggegggfgcegfaadaafgfafbbbagfdacbcagfffcggeggfgdfgegeggacccbaggdgggfedgggffggbeaaabgegdaaacgbfgaaadcgfeaabcgfbfaabdeffcaabffcdeaabgecbgaaccdggbaacdebegaacfeccfaacgcdfcaacgfacfaadeegdaaadgbfafaaebgcedaafdfdaeaaffeceaaagaafefaagagedbaagbebdfaagcceecaagcdagdaagdgfaaaaggbafcabadfffbabafddfdabbbdgfdabbdeddfabbdeffbabbdgdddabbfffdaabcbegagabcdcedfabdfbfebabdfdeeaabdgeddaabebadgfabebeeceabebggacabecefccabfbeedcabfdfebbabgaacgfabgaaegdabgcfbafabgecabgabgfagcaabgfgbabacacceffacadcdffacaeafgdacafbfbgacagefadacaggddaacbbgegaacbdfadgaccdeadgaccdedfbaccedfbdaccgaaffacdcafcgacddddagacdgbdbeacdgcbbfacdgecadaceadfbfacebdceeacecdgdaacececagaceceddcacedafagacefafaeacfacbffacgbfaagacgcffaaacgdagbcacgecaddadabfagfadaedgeaadcdfaedaddaecdfaddbcgfaaddebdecadeaeaefadebdfccadedddccadegbagaadgcaafeaeabgcgbaeaccefdaebddccfaebegacdaebfeeacaeccgfabaedaedbfaedaggabaedbadfeaedebebdaedgaafcaeeabddfaeeacdcfaeeaebcfaeeccbdeaeeeacgaaeeeagbbaeeebbfbaefbebafaefbeceaaefccbagaefgbeaaaegccagaaegeccacafacbegcafadaedfafbaebfeafbbcfagafbedbagafbgbdeaafcabdfeafcddbagafceafbdafcfccdbafdbdfadafdbebfbafeabcdfafeadcddafecddbcafedfbbbafefaaceaffbcabgaffcgcaaaffebdacafgaecadafgceadaagabfebdagacgdadagadcadgagagcdadagbbdccfagbcbbefagbcbdcfagbedceaagbfebbcagcceceaagcdfaccagcebagbagcecbafagdacfeaagdadcgaagdccddbagddcbafagdgbeaaageabfccagfabeeaagfdcdabaggaebadaggbbdadbaacdgcgbaageeebbaagffdababbfgddbabcgdfcbabegcfbbabfgaedbabgfagbbacdgfadbacecdfdbadaggdbbadcagcgbadfcgcbbaeacgbgbaeaddefbaeccebgbaeccfbfbaefbcfcbaegbeaebafaegccbafafadgbafccgbdbafcefadbafcgaecbafeebafbaffgbbbbagabdgdbagabfbgbagbedcdbagbgdcbbbaegcgabbbbgeagbbbcddefbbcbcfdfbbcbeeedbbccebfebbceedafbbcgbcgbbbcgcccebbdadgbfbbddcdedbbddceagbbebbdefbbecddgabbeceebdbbfcabgebbgacegabbgcaefbbbgdacbgbbggceaabcaedgeabcagcebebcagebddbcbaaeggbcbaeaggbcbbfbgdbcccfdebbccecbcgbcceebgabccfdbddbcdbcgcdbcdcadefbcefaccebcfaadfebcfabfgabcfeafbcbcgabcfdbcgccgabbcgdfaadbdaacgcgbdabagefbdacccffbdadgddbbdaedfccbdagfbaebdbagbdfbdbcgcfabdbdddcebdbebceebdcagcddbdcbabggbdcbccfebdcbgdaebdcbgedabdccdbfdbdcdgbdbbddfaebdbddfebbcbdeecbebbdfcfaaebdfgaacdbdgadafcbdgagaaebeacddgbbeacdecebeaeddfabeafcfdabeagaefabeagbfcbbebagafdbebbedagbebcgacebebdafecbebfbebdbebfgabcbebgabfcbebgadfabecaecbgbecbdgbcbecbeadfbecbgfabbecgddabbedaeagcbedcccecbeddcbgabedebaedbedfecbabeeagafabeebcagcbeebfebabeefabbebefacdebbefbbbfcbefdcebabeffbabdbfaacfbgbfabcdcgbfabgdbdbfafaeebbfagcagabfagcfbabfagdcadbfbdccddbfbebbfcbfcaefdabfcaffbbbfccbefabfcccafdbfcedbbdbfcgbafabfdbgaaebfdceadcbfdeaagbbfdeabagbfdfafabbfeacbfcbfeaccfbbfeagbbcbfedbbebbfedcadcbffaefaabffbagcabgaaacgfbgabebdebgacacefbgacaedebgadgeaabgaecacfbgafecacbgbadfccbgbdbcddbgbfceabbgccdecabgceebbbbgdabbgcbgdbeebabgdbfbcbbgdfbacccaaagfcfcaadgebecaaefgadcaagegbbcabcgcgbcabgbffacaccegcccacebeedcacgdfbbcadabegecadafdfccaddddeccaeabgdecaegbabgcafbgddacafcadfdcafcagcdcagaebgbcagbbgcccagcgdabcagdedaccagffacacbbagfafcbbcaggccbbefebccbbgfbcccbcagdfbcbcfbdbfcbdcfgabcbebdcedcbeccbcgcbecdbdecbedbbeecbedfadccbefbaedcbfacgcccbfagbbecbfbddafcbfdbafdcbfdgbcacbfefbbbcbgabcdfcbgbcdfacbgcbdbeccacfbfdccadeeebccafgbdbccbcgbfbccbdcbfeccbeafceccbfeaecccbgbgcacccabedgcccabgfccccbafdfcccbedagccccbeedcccccdbgcccecdebcccgacgaccdagedaccdccdddccdcfebbccdddadeccdegcabccebdcbfccebebbfccfagabeccfcacbgccfedadbccfeddabccgacbedccgbcccdccgecbcbcdaaddefcdaaggadcdaecgbccdafcfbccdbbdgdbcdbdcecdcdbeeafbcdcccebecdccebgacdcecbddcdceedaccdcefcaccddabfcecddbfebbcddcbefacdeabffacdeecfaacdeffaabcdfabfeacdfbeaafcdfccbebcdfdbbdccdggbbbaceaafdddceaebfaecebaebgccebagedacebcebfbcecaaegccecfaagbcedabfebcedacdagcedadcbfcedcbcgacedcecbcceedabagcefadbafcfaaagdecfacebeccfacfaagcfafaebdcfbebcfacfccfbdacfdacebdcfdbabcgcfdbeccbcfdcfaadcfeafadbcfebccdbcfebfcabcfecabcecffadabecffbbbfacgaabffbcgaaebbgcgacddbdcgaceacecgacfbcccgaeaadfcgaedabecgagbcbccgcacagccgccdbdbcgdabgcacgeaaacgcgecbacdcgfbeacacggfabaadaabefeddaageedadabagdbgdabbdecgdabbfffadabfdbbgdabgbcfcdabgdfcadacbdgcddacbfbdfdaccdfdcdaccdgccdaccfgacdacecdcedaceeafcdacfaecedacfagaedadbdgeadadbffaddadccgaedadcecbfdaddbebfdadecebddadeceeadadegaeadadegbbcdaeacfbfdaeafeeadaecdgacdaefbfacdafadfaedafebccddafefbbbdagdbedadbaaegdddbacfebedbadgcebdbaedbgcdbafdgbbdbbafceedbbbcffcdbbcdaegdbbedfaddbbeebfbdbcdafecdbcdfacedbcgdeabdbdadfbedbdafbgbdbdbgeacdbeaceecdbeadfbddbebeaeddbgdaebcdcabdfdddcacddgbdcadcdcfdcadgacedcaebaegdcagabeedcbdbfbedccgbecadcdacfebdcdbdbcfdcdcdbbfdcdfbdbcdcdfddbadcdfebcadcebafbedcfbaeafdcfcbabgdcffaabedcgdbabeddabafcgddacdgdaddagcbdcddbabdgdddbadaegddbcaffbddbdabfeddbgcbdbddcbbbdgddcbdagcddcbdcceddccbafeddcddabfdddadcdddddbdecbdddcagdaddecacecddecdaebddedfaacddeeadadddeecabdddeefaabddefabdbddegaabdddfaebbdddfbagcaddfdbdacdeaceaeddeafbddbdebabegbdebbbdeddebcadfcdebdfdbadebeadfadebegbabdecdbgbadedacbbgdedfbbbcdeebbcfadeeebaccdefafbcadfacdbdddfacfccbdfbcccdcdfbdacbfdfbddabedfbddbeadfbeaebcdfbfaaagdfcabcdedfcaccdddfcagcacdfcdcadcdfdeabeadfeabbdddffafaacdfgaaebbdfgcbaaddfgcccaadfgffggffdgabbcgbdgadddbbdgbaccagdgbaccecdgbadfacdgbbaecddgcadacedgcbdfaadgcbgbabdgfaaecadgggfggfdeaaaeffceaaagaffeaabedcgeaabfbfeeaaceefbeaaecbfeeaaefccdeaafbeceeaafffbaeabagefaeabbegdbeabdegbbeabdgagaeabebeeceabeccdeeabegaafeabfdbeceabfddbdeabgcbfbeacbeefaeacbfcddeacccfafeaccdeebeadadgdbeadebbbgeaeafcfaeaefdacceafaadcgeafabfdceafbbfdbeafcbdcdeafcbddceafgaaafeagaebdceagbddcbeagdaccdebaafeceebaafffaebacbfedebafddaeebbabdffebbbgecbebbdgdacebcaabggebcacddfebcbgebbebcecedaebcfabgbebcfbbbfebdaccgcebdbcdfbebdbebecebdeeaccebdfbddaebeaaegbebebcedbebegaafaebfccgaaebfdbdbcebfddbdaebgcfaacecacfadeecacgfabecaffccaecafgbcaecbdeaagecbecdccecbfacfbeccddbebecceeacceccfdbcbeccffaaceccgbbaeecddbbececdffabaecdgcbaceceadabgecebaagdecebbfbcecfabcgaecfafccaecfagcbaecfebaccecgaadafecgadbccecgbbaddedacegabedacgfaaedadabfeedafbfcaedbaafbgedbbadfdedbcfbdbedbedadcedbfaaededcabffaedcbbcdeedcccadeeddaagdbedddadbdedddbaagedeabcecedebbfacedebdbaeedecdcbbedfbbagaedfdbaeaeeabbccgeeadaadgeeadfcaceebacgbceebbbaefeebccfbbeebeadaeeecbbadfeedafaeaeedcbcbdeedcbeaceefaaagbeefcaacdeefdaabdeegadacbeegadbcaefadabbgefcbdadcefdeabdaefeabfbaefefabbaeffadcabefgdaacaegaaeecaegaccaecegaebbdbegaecaccegbfbadaegdabdadegeaacaeegebbbbcegecacacegfacdaaeggabbacfaacbaggfaaccbgefaaccfagfaaefabffabacedffabagcfbfabbacfgfabbbcfffabbeefafabbfddcfabdbbfefabddgcafabebagdfabfadcefabfedbbfabgdcbcfacafcddfacgbcbdfadagcdbfadbaefcfadbegbafadbgcbcfadccedbfadcebbefadddbaffadedeabfadgdaadfaeaefbbfaebdddbfaebgbbcfaecbeeafafagccafafbdgaafafddbcbfagaacedfagafaeafagagaadfagbcbbefbabffcbfbabgabgfbbeaeebfbbgecabfbcafdccfbcebbcefbceeaccfbdafbcdfbdafcdbfbdbebcdfbddcbfafbddeadbfbddfcbafbddgcaafbdfcbadfbeaaebffbeafabefbebacbgfbebadgafbeddaccfbeebcdafbefbaccfbfcdbbcfbgbdaccfcaceccdfcaddecbfcbadfccfcbdaccffcbddgaafccacfeafccadbdefccafbebfcccbcddfccdcafbfccebafbfcdbdbdcfcdcdbaefcdgaabdfceaafaefcebcbcdfcebdafafcfabfcafcgbbcdafdaaacegfdaagaddfdabceaffdacbbcgfdadbgbbfdaeaeccfdaebacffdaebdeafdaedbeafdbadddcfdbedbbcfdcadaedfdcaebcdfdcbfdabfddabfbcfdeadaebfdebdabdfdecaabffdgcacacfdgcdbaafeabbadgfeacccbefeadbcfafeafdadafeagcadafebbbdbefecaabdffecbbccdfedaeaccfedafbcafedcbcdafefebabaffabfcacffafbadbffbabeccffbcbbafffbeaabeffcabeadffdcebaaffedcaabffeecaaaffgbcaabfgabbagbfgacbcccfgacdbadfgadaeacfgbddbabfgdabcadfgedabbafgfggdegfgaacgaaggaadadfdgaaddadfgabbadefgabdbfdbgabgdaeagabgeaadgacbcedcgacbdgbbgaccbcfcgaccfdcagadaddafgaddfadagafbabdegafeabccgafebaccgagcdcbagagecbbagbabdfccgbadddccgbadfcadgbbbebfbgbbcagaegbbeedabgbdedbcagbeabgcagbebbadegbfddabbgcaabegbgcaafddbgcacagbdgcacfdbbgcbaafgagcbadbgbgcbcdcdbgcbgbabdgccdabcegcceebabgcdeabaegcdgbcaagceafadagcgabbbdgdaabegagdabdbecgdadceacgdagabeagdddaafagdeacbdbgdebbaebgdedaaeagdfcabadgdgacabcgdggcgfgggeaaebdcgedabcbdgeeccbabgefcaaadgegdaaabgfaaagcbgfaadgaagfabbagbgfacbdadgfdadacbggbbcadbggdbbabcggeaeaaaggegffgcgaabcgfgbaabegbfeaabfefgaaabfgccfaabgecgcaacedefdaacgcgdcaacgffbcaadbdegeaadbgafgaaddedeeaadgcgaeaaebfgdcaaeccfcgaaecddfeaaegbeagaafaddegaafcdeedaafcecfdaafdgafcaagbddeeaagcbgbfaagccfbfaagdagddaagebgeaaagefebbabaddeegabaedefeabbbdgfeabcefdgaabcgecddabdbfcgdabdeeaefabdgabffabdgbffaabdgbgccabdgdcddabebegcdabecfecdabeddcgcabedeeebabedfgacabegbbgcabfaadggabfafccgabfeccedabgddbedabgfdbebacabggfbacadfagfacadgbfeacafbdgeacagcfgaacageeafacbagfbgacbcggccacbfgbceacbgafgbaccagagfaccbffbfaccffdeaacdbcdffacddfaeeacdebgcdacdgbcedacedfbecacefaeagacfgeeaaacgbddecacgcccgbadaccgdfadacdcfgadacedefadacgageadaeddgcadaedgcdadafacgfadaggcbdadbaggcdadbcgdecadbffbgaadbgbcgcadcbcfgcadcbfccgadcdcegbadcdegadadcggcacaddcbggaaddccefcaddceefaaddeacgdaddfdgabaddgaadgaddgcebcadeceeaeadeddfadadedebecadedgafaadfabgagadfaeedcadfedfabadgafacfadgbbgdbadgbgafaadgcaeecadgcdbgaadgddabfadgeceacadgfdbdaaeacfebfaeadgcceaeafgcaeaebfbaffaebfgbccaecfbdbfaecfdcbeaedbaffdaedbbffcaedccageaedcecceaeebdcbgaeebfcbeaeeecdbdaeeeeaebaeefebbcaefebecbaegaabgeaegeabbfafaafebgafaagdgbafacbcgfafadbgagafbfdbagafcgaafdafcgcaagafdfabfcafeabgcdafecbcdeafefccdaaffcabdfafgadgbaafgafbccafgbcafcagaabgeeagaadcffagagcafcagbeaaegagbeageaagbgedabagccabgeagcecbceagdadfdbagdbfbafagdbgabeageaafceageaecafagecbdfaageeecabagegaafaagegadbbagfaaddeagfaccecagfbadceagfebbdbagfgadbaaggaabcgaggabbcfaggadcbdbaacfdffbaadffcfbaadgbegbaafgdagbacefdddbacffdcdbacgccdfbacgdecdbadbdgdebadbegfbbaddceeebadeegbcbadggdbbbaebddfebaebfdgbbaecegeabaedgeadbaeecfafbaegbafebafbgbfcbafdecgabafeedccbafegfaabagafbeebagbbggabagbfbdebagbfbgbbagcdfdbbagdgaebbagegdabbagfceadbbaeaefgbbaffdfbbbagegdabbagfbedbbbdcdegbbbdegcdbbbdgadgbbbfcgfabbbgbefcbbbgdeebbbcbgdfcbbcbggbdbbcdageebbcdcdgdbbcfccgcbbcgebecbbdcfagdbbdfaedebbeaebffbbebdecfbbebgadfbbedbbffbbegcccdbbfaceeebbfadeedbbfadgafbbfbgfcabbffbddcbbffdcccbbgcbgbdbbgcgcbcbcabeefebcabffdebcaddffcbcaecfcfbcbcdfbgbcbcffbebcbggcadbcbggdcabccgbcbgbcdadeeebcdagadgbcdbebfebcdcgcafbceaegdbbcebafeebcebfdfabcebffdabcecccdfbcedeecbbcegadafbcfbdcgbbcfcfaagbcgaaffcbcgbdbgbbcgcefbabdaaeefebdaccgcfbdacfaffbdadgeccbdadgfbcbdaggcbcbdbbdcegbdbdcgdcbdcbdgebbdcdabfgbdcdgbebbdcfeafbbdddcbgcbddedcdcbdeaeebebdebcbfebdecccgbbdefddcabdfbeabgbdfebadebdffaafcbdgccbcebdgdbabgbdgeaacfbdgfagaabeadddbgbeadfbdebeaecbdgbeagbecdbebagagdbebdaddgbebebceebecageaebecbccfebecbgafcbeccdaefbecdcdfbbecfacedbedddbecbedeeaafbeebcgadbeebgdcabeeeaddcbefcgaadbefeaafcbefecccbbeffagaabegbceadbegbeacdbegdcafabegdcfaabfaagaefbfacddcfbfaffbeabfbbbefdbfbcdbcgbfbdgfaabfbebccfbfbfbgacbfcbcbfebfcdecbdbfcfabedbfcfgacabfdacdbgbfdbbcdfbfddfabdbfdebdccbfecaccfbfecadfbbfeccebcbfgbbadebfgdabcdbgaaeeecbgabddbgbgageeaabgagfcabbgbeacdebgccddaebgcgaacebgdacdecbgdcaafebgdcfadbbgddcbbebgddgbbabgfdacdbbgfdcadbbggdbbdacaadfdcgcaafddeecaagcgdccabaggfbcabdefddcabdggcbcabfbaggcabfeagdcacddffbcacegabgcacegbbfcacfdeebcacffdaecacgdbcfcadacdfgcadbfccgcadccefdcaddaegdcadfddbecadfebfbcaeabeegcaeccdcgcaeebcfdcaeegbbdcaefaceecafbebcgcafbfacgcafcfafccafddacgcagcdebdcagdecbdcaggaaedcbaddddgcbaddgbfcbaeddgccbafgcebcbbagbffcbbbfgdccbbcfccgcbbdeagecbbecdcgcbbefcddcbcaeedfcbcedeebcbcgbdbfcbcgfaebcbdbcggacbdbecdfcbdbfcedcbdbffcccbddbafgcbddcgcccbddeagccbddebbgcbdggaadcbedcecdcbedcefacbeeegaacbefgacbcbfagcdccbfbdgcbcbfcedcccbfedbfacbgbafcecbgbeedacbgdadagcbgeafcbcbgegbbacbgfebbbcbgfgbaaccacbfdgccbddgbdccbeaddgccbebbegccbeeadfccbefddbcccdbgafcccgdbebccdabeefccdbedecccdcbebgccddacfecceaafdfccecebceccfacddeccfadbeeccfcedbcccfebacfccffaedaccgaafgaccgaagbeccgbfafaccgbfbeaccgbffaaccgcccfaccgcddbccdabgcdecdacbgedcdadcgebcdagacgccdbaaefgcdbfabgdcdbfccagcdbfcdbecdbgadddcdcaebgdcdcdfagacdcfadgacdcfcccdcddbcceecdddcdebcddgdbadcdebafeccdeedfaacdegaddacdegbbcccdfbaddecdfbddaecdfbdedacdfcafbdcdfcfaeacdgdbdcbcdgeacccceabebgdceabgbdeceaedeaeceaegcbccebcbfddcebceccecebdacdgcebfgabcceccbgeaceccgafacecgdabdcedbfdcbcedcedbcceeaafecceeabfebceeaebddceeecabeceeedeaaceeeebcacefbbdbecefbebeacefbgadacefdebbbcefgadbacegaabdfcegeadbbcegecbcacfabeedccfabfgcacfaeaefbcfbdbbdfcfbefacccfcafbddcfcafedacfcagccccfcbccgbcfdafeaccfdbafafcfdgcbaccfedadcccfedbcbdcfeebbdbcffacdcccffafaaecffbabdecgaagcbecgabbfeccgacceafcgaecfcacgagbdbccgbacgcccgbbbeeccgbcafdccgbdfadbcgcbbdddcgdbadddcgdceaaecgecdbbccgfadafacgfbcfaacggdbabccggddbaadaacefgbdaagecagdabbfededabbgfafdabcfbdgdacbebgedacgcedbdadacfeedadcddeddaddecfbdaecadefdaecdeafdaedafgadaeddgacdaeedcfadaeeeadddaeeecdbdaeegabddafbdfeadafdgaeadafeabdfdafefabddaffbbagdagabbgedagcccdddbaagfecdbagdcbfdbbbgcfcdbbbgefadbbcdfbfdbbdfcgadbbedeafdbbfbefbdbbgadgbdbbgdacfdbcageebdbcaggbcdbcbdgbedbcbfedcdbceefcadbcgbafddbdadcdgdbdcddfbdbdcdfccdbdcebcfdbdcfabgdbdcfccddbddaeeddbddceafdbdgaeeadbedadfcdbfaacegdbfgcbdadbgcdbdcdcaaagegdcaaefcfdcacebfedcacegaedcaefddbdcafbcdfdcagbcdedcbcbcgedcbecebedcbfccecdcbgbaeedccacdefdccccccgdcccgbebdccdbdeddccddaeedccecbbgdccfddbcdccffaeadccgbbgadccgbcfadcdcefbbdcdebeeadcdedcccdcebacefdcebedaedcedccafdcfaadcgdcfacbgcdcgbbcagdcgcdcaddcgdafbbdcgfaaafddbadgafddbdacefddbdaffbddbdfcdbddbdffbaddbfgdaaddcbddddddcegacbdddbafbfdddcgdabddddfdabdddgcdbaddeacebeddeadebdddebbadgddebeaddddfadbceddgaadecddgaddbcddgbcbcdddgeaebadeaabdegdeacfaeddeadecfadeagdafadebagabgdebcabgedebcadeedecdebccdecgacbddedaccdededcafbddeeabdgadeeeaagadeeeeaacdefaeccbdefcbbebdfaaadffdfacebbfdfadaedddfadccdddfaecbcedfaecdaedfafadbedfafbfcadfbaagagdfbaeddcdfbaeeccdfbccgbbdfbeagacdfccbeaedfccebeadfcdbbbfdfcgbbaddfdabdagdfdaecaedfdagdabdfdfcbbbdfeabddcdfefbbacdffcacbddfgafbbadfgbaecadfgeacbadgabdfdadgacaaffdgadadcedgbafbafdgbdbcfadgdbeadbdgdcbbafdggcacbbeaabdggbeaadcaggeaaddbegeaaecafgeabadcfgeabafdcgeabbcdgeeabcfefaeabgagaeeabgdbddeaccfbdeeacdedfaeacfbbgceadbfgaceadbgddbeadcacegeadfbgbbeadffabdeadgbeadeafacdfceafacebfeafaefbceafcbdfbeafcebcdeafgbebaeafgcaeaeagcgaadebadcafgebagdebcebbadcegebbbfcdeebbcgabgebbdceagebbfadfcebbgdddaebccdfeaebcdecfaebcdfbbeebcfagbcebdbcgeaebddcfdaebddefbaebdfcaddebdgagabebdgfaacebeabbffebebadgcebeecceaebeecdbcebeeedbaebfacgcbebfbagccebfbccbfebfbdfacebfcgbcaebfdeabdebfebbcdebfgadbbebgdfbabecabdcfeecabfcgbecabfgdaecadbfgaecaffdcaecbcabgfecbcacegecbdcecdecbdcfdbecbfbcbfecbfeaafecbgdacdeccaccefeccaegcbeccbbbgeeccebgbbecdagcdbecdbbaegecdbfceaecdbgbbdecddfbcbecdfcafaeceafaddecebbcfcecebcagcecebgcbbececcbceececcecbeceedaaeecgacagbecgbcbafecgbecbbedaaaggcedabbgbfedacdeafedbafdbeedbbffcaedbeddcbedbgabecedccdccdedccgdabedcdceadedcecaageddaeafceddagafaeddagdaceddbbbfdeddccbddeddcfaeaeddcgacbeddecbeaedecfaadededadbdededaedaedfaaedcedgabcbeeeababfgeeabcbdgeeacbfbeeeadaceeeeaddafceebacddeeebbbdgbeebbddebeebcageaeebcbbfdeebfcbaeeebgaaeceebgafbaeecacfaeeecdafcbeedaeaeceedbbecceedcecbbeeeagaadeeecbafbeeedbcadefaadcgbefabbeceefabedeaefadccafefadeeabefadfbadefaecagaefbbbfbdefbbbfeaefbbgcacefcbdagaefcgbdaaefecaceaefgaabafefgcaabdegadebcbegbebdbbegcagadaegcbbbgaegdabedaegdddbbaegebcbdaegfbcacbfaafcgcbfaaffcdbfabaeceffabbagdffacacfbgfaccgddafacdgcdafadddgabfaddfdcafadebcddfaeccdebfaecfcadfaedeafafaefabcefaefccbcfafbdebcfafeccdafagbbagcfaggabcbfbabdbegfbabgafdfbacdbeffbadcgccfbadecfbfbbeddccfbbfeacdfbbfgbbbfbcbbebgfbccbcfdfbcceaedfbcceedafbcecdaefbcgaeadfbdadccffbdbadgcfbdccebdfbddbbedfbeafaecfbfaaaegfbfbeccbfbfcabcffbgbbbcefcacbgfafcadbfaffcaedbecfcafcbcefcbcgcadfccdfaccfcdfbaebfceacacgfcebafccfcebcadefceddeaafcfddacbfcgcbafafcgdbaaefdaacfagfdabgaagfdacefcafdadbcfcfdbacfdcfdbbcedcfdbbeebcfdbcgaaefdcabfebfdcagebafdcbcbedfddaaagefddafbeafddebabefddedaadfdfaacagfdgacdacfdgbcaeafdgbdbbbfdgebabbfeaaaefdfebbdagbfebdcabffeccdcbcfeebabecfeecaecafeeeabcbfefacdacfefaeacbfegebbaaffaaadgcffaaaffbffaaecbeffaeagabffbbfcacffbcadebffbccbafffcaadgaffcdbaafffdacbdcffdbabfbfffdaadafgaafabefgbacdaefgbbabgbfgbbbedafgcabcfafgcadeabfgcedabafgdcacbcfggababcgaaabfgdgaaafbfegaafebafgabbacgfgabbdcgcgacbddbfgaccdfcbgaceecdagacfbdaegacfbedagadaagaggadagbdcgadcdfcagaddbfdagadeceacgadeeccagadfabgagaeabcgcgaeecdbbgaefcaccgafbfccagafcdadcgagbeaeagbabcedegbabebfdgbaccaeggbagacddgbbcagcdgbbccfdbgbbcfcdbgbbdaddegbbeaafegbbffbcagbbgbdbcgbbgcbccgbbgccadgbbgfbabgbcbgbeagbcbgebagbcccfdagbcddbfagbcfagbagbdaafgagbdaedeagbdccabggbeacacggbeaddbdgbeeccacgbfcebbbgbgbcaebgcaaccdggcafcbbegcagaabggcagabddgcbbddcdgcbcccfbgcbdcacfgcbdfdbagccabfdcgcccfeaagcceecabgcdabdfbgcdbafccgcdbfcacgcdebbaegceacgbagcebeaaegcecebacgcedbbdbgcfadbaegcgcbbcbgcgfacaagdaabfbfgdaaeeccgdagaaaggdagbfaagdbabegagdbacebegdbbbdecgdbcbbgbgdbecccbgdcaeacegdcbcagbgdcgcbabgddcdcbbgdecaaecgdegaacagdfaabcegdfbdcabgeacafeageaedbcbgeagbbcbgebacaeegebcaafdgebcdfaagecedacageecaadcgeeecaabgegeggfffgfacbcfagfaeacccgfbaafeagfcfbcaagfdbcbadggabebdaggadbaafggecbbabgggdcggggggggfgcffaaaefcfgaaagegfbaabgcggbaacfgcgbaacgdfceaadbbggfaaebdfdgaaeecfgbaafgbdcfaagfccedaagfddfaaagfegabaaggbdagabaegfceabbedefeabbgbcfgabbgbgedabcdddegabcefbdgabcfbdegabcfegccabdcbefgabddeffbabdeeddeabdefbcgabdegeccabdgaffcabdgdfbdabdgegbbabebefcfabedbcfgabedffbdabefcfafabfbgedcabfcafgdabfdcgbeabfdeaefabfgaefbabfgddaeabgaccfgabgaeecfabgaggcbabgcgcafabgcgcbeabgdcfdcabggdbdcacabedggacacfedgacacgfedacadfcegacagbgfcacbcfggaacceccgeaccgfaedacdaedegacdagedeacdbddffacdddddfacddeegaacdebfgbacdgfcaeaceaggaeacedccgdacedgdccaceeeedbacegccbfacfabeegacfeddbeacffeaddacfgdebbacgaebfeacgbdddeacgcgfabacgdgabeadacfddgadaecgcfadafbfcgadbbfegcadbgbfgaadcffdeaaddagfafaddaggccaddeeedbaddfbdcfaddffeacaddgacdfadebdbgeadebgdbeadecgecbadefcdfaadfccbfeadfdecbeadfdgbaeadgafbbgadgdbeebadgggaabaeaccdfgaeacgcdfaeaffcagaebagcefaebbgeagaebcgcedaebecdcgaebgadgcaecbgccfaecbgeafaeccddeeaeccefcdaeccfedcaecefdbdaecfecbeaecggdabaeddadgdaeddfagbaeddfbddaedebfebaedeeedaaeebcfagaeebgddbaeeccaffaeedabffaeeeccgaaeefgbcaaefbcdcfaefbfeadaegcafcdaegedacdafaaegedafabcegeafabgegaafadfdceafadgcddafaefacgafafbfgaafbbddgdafbeacffafbeaffcafbeecagafcafdcfafcagbdfafcbfbeeafcdagagafcddcfcafcegbeaafdaebefafdbfcbfafdbgabgafdcagbfafdcbbgeafddebbfafdgacbfafdgdeabafebeadfafebeebdafedadfcafefabedaffbbgdbaffedbccaffgbbccafgbbbgcafgeeabcagaacfgdagaafdeeagaebbffagagdebcagbaebegagbbgedbagbfccddagcacfbgagcdbfbeagcddgbbagcebebeagceecbdagcfdcbdagdabgbfagdbfbagagdcafagagdcdcceagdcdeeaageaecagageaecgaagecafdcagedgadaagefaacfagefeadaagfbdadeagfcfcacagffbcbcaggbacdeaggbfdabbaadcgffbaadgffcbaaffcgdbaafgbefbaagggcbbabbgcgfbabdcfegbabdfgddbabfcfdfbabfedgcbabgbgcfbabgeccgbaccafggbacgaggbbadggecabaebggccbaecdegcbaecgfccbaedgfcbbaefeedbbaegdagcbafaeefdbafbbfdgbafddbgdbaffagebbaffddafbagcddgbbagcfdbebagdadfebageaebgbagegacdbbacgcffbbafddfebbbfddeebbcbdeffbbcbfcegbbcecfcfbbcegcgabbcfbgecbbcfcgfabbcggfbabbdagbffbbdbefbgbbdccgcfbbdcdfdebbddcbgfbbddgbfcbbdeegdabbeagcgcbbebccgfbbedacfgbbedfafdbbefdccebbfbfdbfbbffecbdbbfffebabbfgdcaebbgaedgbbbgbafcgbbgcfafcbbgedccdbbgeefabbbgefeabbbgfcecbbcacgefcbcaffccfbcafgeeabcagcgafbcbbcgefbcbcfddfbcbgbgebbcbgdcfcbccbfgbebcdacggcbcddbffcbcddfeccbcebbcfgbcebbeefbcebcgbfbcebcgfbbceddafebcedebcfbcedgdbcbcefbecdbcfbgadebcfegaeabcfgabfcbcgefbbcbcgfccdbbdadbgfdbdafacgfbdafbgddbdagbgdcbdbbdcfgbdcaaeggbdcbfcdfbdccbffdbdcdagcfbdcdbcgebdcgffaabddadgbfbddaeegbbddagccfbddbdgbebddbgbgbbddfgeaabdeaeeecbdeafbeebdeccddebdecgdbcbdfcdbcfbdfddgabbdgdagdabeaafegcbeacdefdbeadfecdbeaffbbfbeagdagcbeagfcbdbebbffafbebcbdffbebdffcbbebfcfdbbebgeagabebgefbabecbbgcfbecbgafdbecfebcdbeddbfcdbedeageabeeabfgbbeebcdgbbeecbcfdbeedbcbgbeegafbbbefbcdcebefcacdfbefcbcdebefccafdbegabdcfbegbafebbegcbedbbegfafabbfabddefbfacadgfbfacgdcdbfadafgcbfaebgfabfaefecbbfbaafffbfbbcfgbbfbdebgbbfbdedfabfbfccddbfbgaaefbfbgdaagbfcfbdfabfdfedabbfeacfebbfebbdcfbfebgdacbfecdfacbfedfeaabffbdfcabffcafdbbffdagacbffgbadbbffgcbcabfgbcbecbfgbddbcbfgdccadbfgddabdbgaaeegbbgafcfbcbgafeecabgaffdbbbgagebeabgbbcefcbgbbfeaebgbdeagbbgbeadedbgcaadffbgcfbbagbgcgabagbgcgafacbgdacagebgdafbgabgdcecbdbgdddgaabgdfaacfbgdfbecabgeadfbcbgebdfacbgecaadgbgedabcfbgfbfeaabggabebdbggbaacgbggcaaedbggcafbbbggdabcdbggddacbbgggcabacaaaffffcaaeddffcaaefdeecabcgegbcabdbgdgcacafdegcacfdfbecadeeefacadfeddccadgagcdcaedbdefcaedcgdccaeebdgccaeefecbcaefdaeecaeffafbcafbdagfcafbeffacafccbgecafdabfgcafdcececafedccecafefceacaffbgcbcaffdbddcagbafdfcagbdddecagdegabcagfgbaccbacegedcbacfcegcbadcegecbcagfcecbcccgedcbccfbdgcbcfdgcbcbcffcebcbcfffaccbcgebbfcbebadgfcbecadegcbecdbefcbfafgcbcbfagbbgcbfbedbfcbfeaaffcbfeeceacbfegacccbfegbbccbffbcddcbgaggbacbgcaddfcbgcaffbcbgdbaefcbgddddbcbgebdcdcbggaddbccacgdbgccadgdbfccagbffbccageeccccbdceeeccbdeegaccbeadegcccagagecccbcffdcccdfafdcccdgfbbcccebagfcccecbdgcccfbcfdcccfgcadcccggccaccdaefbfccdcdegaccddagddccdddcgbccddgbbeccdgcbddcceaegdbccedddcdccedgaebccefdeacccegccdbccfgcaebccgbaecfccgcddcccdadcfgbcdafabfgcdafebgbcdbageddcdbbfgdbcdbccdefcdbcfcdecdbebfbfcdbebfeccdbecagecdcdbbgecdcegaebcdddcccfcddfbgcacdeacbegcdecbgbdcdegagbacdfacffacdfbfceacdfcadgbcdfcfaebcdfdaecdcdfdcddbcdfdeeabcdfeafdacdfgeabbcdgbadgbcdgecafaceacbfgcceaebgbeceaecdedceaedcdecebgacbgcecacffccecbgcdcceccdadgcecedbagceceefabcedacfddceddcddcceddecaeceddeceacedeacgbcedfbaedceeabcgdceecccgacefaefcacefcbddccefccbagcefdgbbacegabdfbcegbabgccegbaecdcegbcdcccegcceaccegeabebcegfadcacfaacdffcfaafbfecfabgbgbcfadffbbcfafbbeecfagcgbacfbacecgcfbbcfgacfbebdddcfbedabgcfcbcefbcfcbgccccfcccfeacfccdcgacfcdbccfcfcefbcbcfdafbfbcfdbefcacfdcegaacfddadbfcfdddcaecfeafbdccfefcbbccffaddaecffdcbdbcffdcebacffeaddacfgaaedccgacbefccgaddfadcgagfbcacgbbddfbcgbbfabgcgbcfgaacgbgcbdbcgcaedafcgccgacccgcgccbbcgdeddbacgdfadbccgeaaagecgeccacecgecccaecgedabbfcgeeaaddcgeebcadcgfaacgbcgfaedbbcgfccbeacgffcbabcggaadbecggbbafbdaaefegadaafadgfdaagbgbfdaagegbcdabbgbffdabddgecdabeecfddabfeddddabgafcfdacbfddfdacgdddcdaddffbcdadecfdcdadfaagfdadgebbedaeagfccdaedcagedaeeaebgdaefbdbfdaegbbcfdafbbfcfdafbgecbdafcagfbdafcgbbedagcbagedagceafcdagdcdcddbabedffdbadbffedbageeccdbbcfegadbbeeeafdbcddedddbcdebdfdbcecccgdbcefdaedbdadddgdbdbdeeddbdfbdbfdbecdddddbedgcdadbeecaeedbeeefabdbeefeabdbefbcgadbegadebdbfabffcdbfcaededbfdcagcdbgacgccdbgagdbcdbgbcbeedbggcdabdcaagededcafbfcedcafbfdddcafddfbdcbccffcdcbdebfddcbebfcedcbfecebdcccaeefdccdgaecdcceaefcdccfbgcbdccfcgcadccffdacdcdabdgedcdafgdadcdecgcadcdgcacedceacfdddcfacgbddcfaffbbdcfbfcbddcgbbedcdcgcdfbadcgcfcacdcgdcbafdcgfdaadddaagcgcddadccefddafbcdfddagabfeddbbgeeaddbddadgddcbfgacddccagfbdddbgafbddddacfddddddadedddgdbcbddeadfeaddecaaffddeccaeeddeecabfddefbagaddfbcadfddfebcdbddfgaccbddfgdbabddgbbgbbddggcbbadeabeaegdeadefaddeagaadgdeagaecddeagcbagdebbbbfgdebcdgdadebcfdccdebecbfcdebedeaddebfbfaddebgabcfdecafdfadecbcdeddecbfddbdeccccbgdeccfbcddecgcaebdecggaabdedecddadeeabcfddeecdeacdeedcfabdeegdabbdefbdcbddefdbdbcdegcbdbcdegcbeacdegccebadfabaegddfacdcfcdfagdadcdfbeaebedfbeaedcdfbecagbdfbeecaddfcagaecdfccccfbdfcfagbadfdabgaedfdcbacgdfdfeaacdfeabefadfebfbcbdfecbcfadfedebbbdfeeabbedffacgbadffbbbfbdffbedbadffcadbddfgbbbbedfgdafaadgaabcffdgabdbeedgacadfddgacfaagdgadcaeedgbbadcgdgbbfbfadgbbgbeadgbcdacfdgbddceadgbgbcaddgcbgaccdgceaacfdgdcdaebdgeccacddgeceaaddgefcbbadgfceacadggbadaddggbagaaeaafgdcceabdagfdeabdecgceabedbdgeabgeafceaccdcefeacffgaaeadacdffeadeebbfeadfdaedeaebgacfeaebgdeaeaedcdeceaeecebdeafbeagceafbfbgaeafcgaebeafdafcdeafebbedeafecdcceaffbedaeafgaaedeagdbfdaebadbfcgebadfdbfebaeddfcebaeecgbebafdgbcebbaebfgebbagaegebbbgeafebbcgdebebbddeagebbeagecebbfgaebebcageafebcgadgaebcgcbceebdadedeebdbfbedebdeabdgebdgaagcebdgcddaebeaaeefebecadfdebedbfeaebfbedaeebfddebbebgcdaddebgfcaaeebggacadecaageececabgdddecagaceeecagcbcfecbaedgcecbedafdecbfbeebecbgbbdeeccabdgeeccadedeeccaegbdeccdacefeccebgbceccegbadecdceadeececfbeaecfacadgecfacefaecfaeacfecfbcgacecfgdcaaecgaccagecgccaceecgceeaaecgfacdaedaafcgcedaafdededabefcdedacgdaeedaebfdcedaedbfcedaeddcdedaffcbcedbaedbgedbbaffdedbbbbgfedbbfaeeedbddagcedcbbefcedcbecfbedcbgddaedcdebfaedcecdeaedcfgacaeddacfdceddadgcbeddcgacceddddeaceddedebaeddfeabcedecgacbedfbeebaedfdabecedgbaebdedgbbecbedgcccdaedgdafbaeeacagddeeagcbfaeebafbbgeebbcffaeebbddceeebecddbeebefbdaeebfddcaeecbfbcdeedaebeceedbdgbaeedcafaeeedccddbeedcdagaeeebcddbeeeccbcdeeedabceeefacbbfeefacddbeefagacbeefcbfbaeefcdccaefaagbddefaccdgaefbbbaffefbbefbbefbdfcbbefcadaeeefcadcgaefcbbfeaefcbcdfaefcddbdbefcebcaeefceceabefdfbbdaefeabeccefeafbdaefebgacaefecbbfaefecddabefedaaddefeddbcaefeebadbeffdacbcegabcfdbegacbfbdegbcabgcegbdadafegcdebacegdbcddaegeaeccafaaafefdfaaegccdfaafcffafaafgbdcfaagbefbfabfdcddfabgafbefabgcfbcfacdebdefacdgbdcfaceebecfadbbegcfadeeaagfaeafeeafaecfgaafaecgfaafaeeeafafafbceebfafbfdbcfafcdfcafagbfdacfagccebcfagdcbaffagfecaafbacfcedfbagcagcfbbadbgffbbaegaffbbfddccfbbffbbdfbcabbggfbcbagedfbccebcffbcdgafafbcdgbccfbcfbafdfbcfbfdafbdbbfddfbdbfaedfbdbfbcefbebbegafbeebaedfbeefdaafbeegcaafbefcabefbegabebfbfeafacfbfebgaafbgadecbfbgcddbbfbgfbcbbfcaccafgfcaedgbbfcbafdagfcbdafagfcbddgbbfccagbddfccddgbafccfddacfccfecbbfcdaefdafcdbgaaffceaddfafceadfadfceafbaffcedbafcfcedfaadfcedgbabfcfabebefcfacbbgfcgaaebefdaffaaefdbbfecbfdcaadfefdcabgdcfdcaebgbfdcbfbbefdcbfbfafdcgacaefdcgaebbfddaecebfddeecabfdedcccbfdfbccccfdfbeccafdfeaaebfdgacebbfeabaeeefeabcecefeabfddbfebadgbcfebbebcefebcbbfdfebebfacfecaeccdfecbadcffeccbfbcfecceebafecebcbdfedacbedfedafafafedbbbbgfedbbgcafedbdddafededbacfefaaedbfegaadeafegbgaaaffabbbfeffacbcbgffaffacaffbadcfbffbbaefbffbbbeafffbbccgaffbcafaeffbecdacffcadecbffccdaebffcdaeadffcdecbaffeabagbffeacbfaffedaccbffeeaeaaffeebcbafffbdacbffgddaaafgaadbfcfgabcacgfgabdbcefgcafeaafgcgabacfgddccabfgecebaafgfbcbacfgfdbbbafggaabdbgaacbegdgaaegecagaafbgccgabaegbegabcagdegabcgbfbgabfaecegacbffcbgaccfbbfgaebbgccgaecaeaggafcadecgafcbbcfgafddacdgaffafbagafgaafagagbaeebgagbbagcgageaecagbaadecggbabgccegbacedgagbadfgabgbafbgbcgbagddcbgbbacdefgbbbfeaegbbeegaagbbgaagcgbcbcecegbdaagecgbdbcadggbdbfagagbdcabefgbdcdbbfgbddacgbgbdgabbegbdgadcbgbebbcgbgbecdbafgbfcbbecgbfcbcafgbgbceacgcaabgedgcabbgddgcabbgecgcabgdccgcacfgabgcafccbegcbafcfbgcbbcdbggcbeccebgccedcdagccfafacgcdaagcdgcdadbcfgcdadfadgcdfbbeagcebbccegcebbgbbgcebcgbagcgeaccagdaaedddgdbbfgaagdbcfacdgdbeaccegdbfbcbdgdcbbfeagdcbdddbgdcccadegdcebbcdgdfccbdagdfdbaccgdgabaaggeaabebggeacbefageacddbdgeacedbcgebabddegebbbafegebbcafdgebcaedcgebeaabggecbcedagecccafbgedabdebgedbbbbfgedbbbcegedebabdgegcabadgfaagbeagfacbcbfgfbcbbddgfcbbcafgfecbdbagffbaebagfgffdgggggaaaceeggbaabgcggbabbdeggcaagbbggcccbbcggccdacbggcddacaggeeacaaggffegeggaaadgdgfaaaeefegaaaegefeaaagfggaaabbffgfaacfgddeaadccgegaaddgagfaadgebfeaadggddcaaefcfdeaaegccgdaaegecfcaaegeeebaafbcfgeaafdddfeaagdafdgaagdggbbaageadegabbaegfgabcgbefeabdefbgdabdefccgabdefgccabdggedaabebdcggabedffbeabeeccffabfaebggabfbdefeabfdebefabfdgcceabfececfabgbafffabgdccfeabgdcddfabgdebgcabgfafecabggbdagacbeegfbacbgfdgaaccccfffaccgdbfeacddddefacddeegbacddfdbgacdeceeeacdgdcdeacebdgcfacedageeacedccegacefcccgacefdcdeacefddagacfbgfccacfdaggbacffdbcfacgbfdceacgbgadfacgbgbbgacgcfbdeacgdecgaacgeagfaadaafdggadaafgefadadffgbadaebdggadbbgdfeadbdgefbadbeecfeadbgdddeadccafgfadceggcaadcfbfgbadddddfdadddgcagadebgadgadedgadeadedgcfaadegbfdbadfeebbfadffacfdadgagfadadgbaegdadgdgaebadgfadgaadggddbbaeabffeeaeadggdbaeafbeefaeafcbfgaeagdbdgaebedfddaebfgcdcaecdfgcbaeceefdbaecfdebeaedebbgeaedfacfeaedgcbcfaeebeeddaeececdeaeeddefaaeedfbddaeeffebaaeegcacfaefadfecaefaefebaegagdaeaegbbfbfaegcdaeeaegdaeagaegfaacgaegfeaaeafabgagfafacfbffafadafffafbaffgbafbbcegeafbddcgdafbddfgaafbfceceafbgdfdaafbgfceaafcddcgcafcddfafafcfbdedafcffafbafcgbbcgafdcedagafddafgbafddfbddafdedbfcafdgbfdaafdgfbbcafedagbeafeegaeaaffaaggbafffaafdaffgacbeafgcbfdbafgeadbeagaaedgeagabegceagabfebgagbacgfdagbcbgcfagbcecdfagbcgdafagbebfbfagbfaafgagbfdeccagbfebgaagbgebbeagcbcgagagcbegaeagccgbecagccgecbagcdbbegagdadafgagdbffcbagddbageagddecebagdfabeeagdfbagcagedbecdagfddcbdaggbagdbaggbfebaaggdaacgbaagegagbabcefegbaceeddgbacfagfebacggcgabadegdcebadfccgebadfgdafbaeaeggcbaedegcdbaeeefebbaeggbcdbafagbffbafbcggcbafbgceebafdgbfcbagagffabagdgedabbafffagbbagcbggbbbdcgefbbbecdfgbbccggafbbcdfdgcbbdebegdbbdefcgbbbdgfcebbbebdfdfbbebgccgbbeeafcgbbeecegbbbeeefbdbbefdgcbbbeffcafbbegagdcbbegdfadbbfacdgfbbfcafefbbffgacdbbgacgcfbbgbfadgbcadeggbbcadfbgfbcadfgfbbcagfcgbbcaggeccbcbbfggbbcbcegbgbcbffcdebcbffdbfbcccgfdcbccdgcbgbccfffbcbccgeddcbcdacgdgbcdbaeggbcdcdgddbcdgfaagbceafddfbcebegfabceceffabcedecgbbceecgeabceegbdcbcfadgfbbcfaecefbcfccddfbcfddgcbbcfgddadbcgadgbebcgcfcebbcgdbgeabdacebggbdadgdbgbdbbffcfbdbdbdgfbdbdfdfcbdbdgcfcbdbgdcgbbdcaggbebdccfcgcbdcfbdfdbddfedbdbddgdagbbdecbdfebdededfabdeecbcgbdefdbbfbdfbdgbdbdfbfbgbbdfdacfebdffbbedbdgadefbbdgbdafebdgbfdeabdgcfcccbdgdaaegbdgecdbdbdggceabbeabdgeebeadgcgbbeaegeaebeafcfecbeagccfdbebceebgbebeeedcbebfbfagbebgegabbecbadggbecbcffdbecdefccbecgacdfbecgfdcabedacdffbedbccgebedcdcdfbeddddbfbedegdbbbedggaadbeebfagcbeeceacgbeedbdgbbeefaadgbeegcaagbeegeaccbefacecfbefafgbbbefbgagabefccecdbefcebcebefgaccdbfaaddfgbfafeeccbfaffeadbfagecebbfageedabfbcfdfbbfbecdgbbfbfcgdabfbgefabbfcbfbdfbfcbgbbgbfccedddbfcdbfgabfcdfddbbfcgbcgabfdaeebfbfdbggabbfddbgbdbfebgcaebfecddcdbfegdbdabffadaefbffbacfebffeaeaebfgacccfbfgacgbcbfgbgadbbgacecdfbgaddffabgafcdbfbgafdcgabgagebdcbgbbagdfbgbbfgcbbgbccgafbgbddedcbgbdedbebgbfgcacbgbgefaabgcaafefbgcabcfgbgcdcedcbgceadfcbgcgafbcbgdedbbebgecfdacbgeddbbebgefaagbbgefdcacbgegaacebgfafcdbbgfbeafbbgfceccbbggbafbdbggcaebdbggcfabccaaddggdcabfgecdcacecfcgcacefgdbcacfbgcfcacgbgbfcadbefeecadbfgbfcadcgfebcadegfdacadffceccadgaegccadgdefacaeabgegcaebafgfcaebdfeecaebfdeecaedceeecaeebcgecaeeedeccaefbbegcafdecedcafeddddcafeeecccafefcdccafffccccagbeccgcagcgfaccbagfbgccbbcdcggcbbggacfcbbggebccbcaefdgcbcaggfbcbccddgecbcegfdacbdbcgdfcbdbfbegcbdfebdecbdgdddccbdgeacfcbdggaafcbeafgfacbecfgdacbeeafdecbegbefacbfcdfbecbfcgdbdcbfdebfccbfdedafcbffaagecbffeaddcbgbcdeecbgececccbgfcfacccaggcdcccbaggfbccbcbgefccbdbggcccbdebffccbdecgdccbdgbcgccbefebeccbfbdfeccbfdfcdccbfeecdccccdegccccfdecdccdbgdecccdbgeebccddfddcccdeececcceffdcaccfaedfcccfcabgfccfcdbeeccfcfdbdccfececcccffabeeccgbdeebccgcccbgccgcdadfccgdbbcgccgdcgaccdabfcegcdafcgbecdagegbbcdbbbfgecdbddebgcdbdeeagcdbeefeacdbffedacdbgcbeecdbgcgcbcdcegaeccdcgdfbbcddegfaacddgbdcdcdeagbdecdecdcedcdecebedcdedafbfcdefdbebcdfaaefecdfadcgccdfcacfecdfdcbbgcdffabedcdffcbebcdgagbdccdgccacgcdgcebfacdgdabeecdgdbadfcdgebdbdcdgedbccceabfecfceacbgcgceaebgagceaeebfdceafgabfceagcecdceagdfcbcebdbcegcebebdcgcebeddbfcebeddeccebfcfbdcebfecdccebgfcadcecadffccecagafececbdddfcecdbdfdcecebdcfcecfdaedcecgadcecedcfbbfceddgebacedeebcdcedfdecaceedaffaceeeacfcceeebadfceefcecacefaafedcefafdbdcefbfecaceffddbacegbdddbceggadcacfaadfdfcfaagcdfcfaddddecfaffcbdcfagbfcccfbfbgbccfbfccbfcfcagcddcfcfagdacfdbcebfcfdcedbdcfddabefcfddeaeccfeabgfacfeagaddcfebagbecfebbcgccffbaeagcffcfbdacffdddaccfgacfbccfgcagaccgaaccfgcgaaecgdcgaddbgccgaecafecgafdbeccgafefbacgbagebdcgbbgdcccgbcdbeecgbcfafccgbcgccccgbdcdeccgbebccfcgbeddaecgbgbbbfcgcfadfacgcfgbabcgdecceacgebbgbccgebdcebcgfbdbbecgfcbddbcgfdcebacggaadbfcggcbbafcggdabcdcggdabdcdaaagdfgdaadaggfdaaddfefdaaeeaggdaagafgddabaeggddabcgdgcdabdgcgcdacefecddacffgacdadbdegddaddgdfadadedaegdadfddecdaeagaegdaebgdcedaecffdbdaegefabdafadecgdafdgbebdagbdaegdagccegadagfebeadbbccfdgdbbdcffddbbedfbfdbbeecdfdbbegfaddbbggcbddbcafgcedbccgdecdbcdgcagdbcgaafgdbddgeaddbdefbfbdbdgbebedbecffbcdbefcafddbegfbcbdbfaebefdbfbfdfadbfdcbcgdbgaccdgdbgecfcadbggbcaedcabgededcadccgfdcagdbfddcaggbcddcbbbfegdcbcgdbfdcbfeddcdcccfgaddccfbdeddccgcddcdcdbgadfdcdcafcgdcdcdbefdcdcebfddcdcfeeadcdcgadedcddagagdcddcceedceacffcdcebdedddcecfabgdceeagccdceefbaedcefgdaadcfacfagdcfaddcfdcfbgeacdcfeadfbdcfegcbadcgadgdadcgcafebddadfafeddafafdeddafbdcgddafeadfddagdafdddbbeafgddbbegbeddbdcdeeddbegbafddccagbgddcedbfcddcfcddcddcgdbfadddbaffddddbecgbddddbefbdddebecddddfcafcdddgcacedddgdadcdddgdeabddeacgfaddeccgadddfddbfaddfeadebddfebcbeddgaegabddgbbdceddgbceccddgdceacddgebbfaddgfabafdeaacdgfdeaafgafdeacggcadeadeccfdeadecfcdeaefbecdeafbfcddebbcdgddebbgddcdebceaefdebdbfgadecebgcbdedcgeabdeddbefadeeaacgedeebbfbedeebcddddefadeeadefbcgbbdefbdbecdefebbdcdegbcebcdegcebcbdegedbacdegfcdaadfacfcagdfafafdcdfagdafbdfbagdbedfbbgabgdfbcabfgdfbccbgddfbebecddfbffaccdfbgacgadfbgddcadfdaddagdfdcebcddfeceacddfececbcdfedadcddfefbccbdffgaadbdfgaaceddfgaeacddfgaeafadgabacfgdgadcebedgadcefadgbaedcedgcaedcddgcafacfdgcbbceedgcdcbcedgcfadeadgdaccgbdgdedcbbdgeabeebdgebdgaadgecgbbadgfadbcddgfbaddcdgfceaaddgfeaaafdggabbgadggdbbbceaabgfedeaacffgbeabefdageabegadfeabegagceabfdffaeabgcceeeacbggcceacfedcdeacgbageeadcgcbfeadcgceceadcgfadeadedfbdeadfgcdaeadgebebeaeafbgdeaebebdgeaeccafgeafaeaegeafbcdeeeafefcadeaffeacdeafgabgbeagbbgcdeagbbgfaeagbcgeaeagecebceaggceabebaaggagebabbeggebadfeddebaedgebebaegfdaebafgacfebbafgbfebbbbgefebbccfeeebbcgfaeebbdedfcebbfccdfebbffagbebbfgfbaebbgcgbcebcgcfbcebcggcacebdabffeebdaegfaebdagdfbebdeeadeebdfgbadebeafccfebeagddcebeeaceeebeebdecebfccfeaebfcecdcebfdccceebfdfbccebfgebbbebgbdcagebgeacgaebgeaddcebgfcdcaebgfgbaaecacfageecaegccdecbadgdeecbbedcgecbbffebecbcgcfbecbefbceecbfaecfecbfdbdeeccbgedbecccfbgbecccggabeccdfbfbeccebebfeccfabfeeccgagdaecdafcgbecdbgfbbecddabffecedfbeaecefdacdecefeaaeecegccbcecfabgafecfagcaeecfdaeafecgadfbcecgdecbbedaceaegedadfdafedbbfdddedbccedeedbcddededbcgbbfedbdgbfaedbdgcdbedcabedgedcafcededcbcffbedcbgeadedcdadgcedcdbeecedddacdfedddfbcceddeeccbeddgcaafedeefaadedefbcdbedefdaaeedfaecebedgaeabfedgcacagedgecaaeeeaaedfdeeabfgadeeadbdcgeeaddaefeeaecbeeeebbfcfbeebcdedceebcfdbdeebcfecbeebdbfcdeebfbfcbeecbgbcdeecdcebdeececgbaeedbecbeeedcbcedeedcgabdeedcgbbceedebdcceedgabafeeeefaaceegccabeefabcfagefacgafbefadacgdefadbcfdefadcadgefaegccaefbbbgdcefbbdadgefcaeeeaefcbccbgefcbebecefcbgebaefcdccafefcebaedefdaccdeefebbbfcefecbecbeffbcdadeffcedaaefgcaafbegaagbceegabdfccegacfbcdegbdbbedegbfdbbcegdabafeegdbbdbeegdcfcabegddacbeegececbaegfaafcbeggaaaedeggaaebceggaccbcfaadgadgfaafgebcfaagfcebfabagagffabbefcffabccdfffabcegbefabdfbfdfabedeagfacdgbbffacfbgbdfacgbgdafadbgdebfadcfadffadefaagfadgbbedfaegfabcfafbcfdcfafcagaffafdafebfafgacebfagcbfccfagdaaeffbabggeafbaeagcffbaeegadfbaegacffbaegdaefbafbegbfbagcbeefbbbddfefbbcgcecfbbcgdbefbbebdfdfbceeccdfbcfccfbfbddbfbefbdffeaafbebgagafbeccfdbfbefabcffbefbccdfbfagbcdfbfccagcfbfddceafbfgabcdfbgeadeafbgfcdabfbgfebbafcabcedgfcaccdgdfcaeccdffcagafebfccaeeddfccaefbefccbbgcefccbcceffccbcfddfcccbcfefccdabfffccdgebafccedagbfcdcbgdbfcdeddbcfcdfddcafcebcdbffcecebcdfcececaefcedeaebfcedefaafcfaafgafcfbdadefcfbdbfbfcfcadcefcfgafaafcgabgadfcgedadafdabfdddfdacdgbdfdaceebefdacgacffdbabfgcfdbbcdfdfdbbgedafdbdbafffdbdcbeefdbdedbdfdbedcaffdcaafeefdcagabgfdcbaefdfdcgecbafddceabffdddbgbbfddfaddbfddgaafbfdeaaecffdebecccfdecaeaffdedccdbfdefebabfdfadfacfdfafcdafdfbeacdfdfdaafcfdfdcbbdfdfdebbbfdgafbcbfdgbabbgfdgbcdbcfdgcafbbfdgdcabdfdggcabafeabcedefeabecfcfeabfdcdfeaccgdbfeaceeaefeacgafbfeaecgbbfeafcfcafebbgecafebcddfafebdafaffebddddbfebebcecfebebfbcfecbfabffecbffbafecdfdbafecefacbfedacfbdfedbbdagfeddbagbfedebagafeebbcfbfeebfadbfeecdcdafeegadbafeggaabbffbabdcgffcbecbdffdbcagbffdfabccffeabcbfffeadbfafffbcebafffbdeaafffcacbdffgbcbadffgbdbacfgaafaedfgacaeddfgbdaagcfgbdbccdfgcdaddbfgdddadafgdeadcafgecbbaefgeecaacgaabfbffgaadegaegaadfdddgaafccdfgaafdcdegabadgdegabagcfdgabcdgdcgabdgcbegacccfbfgaceccfcgacfbdddgadgccaegaebebcfgaebecaggaecdddcgaefbdeagafbcfaegagafbcdgbaagcgcgbacafefgbaccddggbaccecggbacededgbaddceegbadedecgbagccgagbagdccdgbbbbgcfgbbcbcffgbbccbffgbbcfgbbgbbdbbeggbbgbcgagbcbadffgbcbbfdegbcbgagbgbccbgcdgbcceaeegbccfcdcgbceafebgbcgbabggbdbacgegbdccdfbgbddcccegbdedcccgbdgaebcgbdgcaebgbeadefagbebecfagbegabdcgbfafacegbgbacdegcaddagdgcagaadggcbaeaeggcbaecfdgcbagbcfgcbcgcaegcbfddadgccadccggcccecfagccdaeddgccdcadfgccdefabgccgbacegcdaaggagcdbfaddgcdgafabgceaaedegcebdcbegcebgbbcgcegbdbagcfafacdgcfgaeaagcgagcabgcgecadagdaagdebgdabcgdcgdadgadcgdbagbcegdbagedagdbbedcdgdbddbcegdbeacdegdcagafbgdccdebcgddcgbbbgdddbbbfgddeabecgddeaedagddebcaegdeabdgagdebabgcgdefbbcbgdfafeaagdfbaaeegdfgabbbgdgaaaeegdgcbbbdgdgdbcacgeabbgbegeacebcegeaeagdageagfcaagebcbdcegebgfabagecbebcdgeebbabggeecccdageeebccagefaaedbgefcbebagegbbafagfacdafcgfadccafgfafecabgfbacfaegfbeaacfgfbfbbbdgfbfbcdagfcafbccgfdcddbagfeabfcagffadccagffcabaegffdabbcggaacfaeggabfcadggacdfbaggadbcafggadbcebggaebceaggafaafbggafbafaggagccabggbabecdggbdaadeggcaccafggdbcbdbggdbdaaeggdbdccaggddbabdggeabbbeggfacbdaaabdeffgaacgcgeeaadefbgfaaebgdffaaeegdgbabadgeegabccdgegabcegfddabdbfeegabddggdcabdeafgfabdefafgabecafggabfccdgfabfcdggbabfcefcfabfgbecfabgbgbfeabgbgcgcabgeebfdabgfbafgabgggcadacaegedfacbgcfcgaccddeffaccddfgdacdbfbggacddggaeacdeaggdacebfggaacefdeecacfaefdfacfdafgdacffaecgacffgaagacgddegaacgdebcgacgfaafgacgfagdcacgfdcgaacggbbgcadcefgdbadcffadgaddabgfgaddadggdaddcdfgcadddegfaadddfageadddffafaddeffccadebeggaadeeegdaadefgeacadegabgeadegbdcfadfbcedgadfccbfgadffebceadffebfbadfgdabgadgadfgbadgebfebadggagadadggfaaeaeacdegfaeacffdfaeaddffeaeafdgbfaeaffgccaebcgfddaebdddgeaebebffeaebegdbfaebfebfeaecedcefaecgfdbdaedbbegfaedbefbgaedgaagfaeeacfgdaeeecfcdaefcbcgeaefdcfbeaefeagfaaefgecadaegabbggaegafcgbaegcgdadaegeccagaegefabeaeggabdeafaaeegfafabeffeafafafgdafbbcfgeafbdffafafcaedgeafcecbegafcefbfcafcgbceeafcgcdbfafdaffddafdbgbgcafdcfafeafdcfbdfafdcgdafafdeaffcafdedcbgafdfcfccafdgdbceafebgcceafebgddcafeceedcafedcgeaafeebaegafeecfccafeefbfaaffbbfgbaffdccbgaffebgcbaffffadbafgadegaafgaebfdafgdaeecafgecfcaafgfacddafgfafbcafggdaccagadeedeagaecfbgagafgcfaagageebdagbadgfdagbgdfadagcecdbgagceecgaagcefbecagcfbbefagdbeeddagddbfceagddcbgdagddcffaagdebgeaagdfbbeeagdfgeaaagdgagadageadbegagebbeeeagecdagdageeaddeagefcecbagfbdadgaggabbegaggcbadgaggdgcbaaggfdbbcagggabafbabfegedbaceefdfbacffddfbadbbgggbadcgegcbadfedeebaedefedbaedfgcdbaeecbggbaegfebdbafefgdabaffdfbebafgdgdabafgfcdcbagceffbbagdcecgbagdgcfbbageadgebagfdfbdbaggcdgabbbbfgfebbbdedfgbbbfffecbbbgcgedbbcbgbggbbcddffebbcdfcgebbcgafdgbbcgccegbbcgeegabbddcdgfbbddffagbbdedgbfbbdfefafbbedeeedbbeegdcdbbefcdcgbbefeagdbbefgbfbbbegfacfbbeggcccbbfaefeebbfbbfgebbfbegagbbfbfebgbbfcdegcbbfdggcabbfegcbebbgadeefbbgcfadgbbgeafedbbgebefcbbgfecfabbgfedeabbggfbbdbcabggcgbcadgaggbcaefdgdbcafgebfbcagfefbbcbcgcgebcbeefcfbcbggdcdbccfbbggbccfeaegbcddeedebcddegafbcdeccgebcdecfbgbcdfccdgbcdffbgbbcdgbagfbcdgecbfbcebgeecbcecdggabcedgacgbcefdfbdbcegfgaabcfbfddebcfcegccbcfdfcagbcfdffadbcfeaefdbcffccfcbcgaefbfbcgceecdbcgeafecbdacedfgbdbbgefdbdbeeefcbdbfdfagbdbgdceebdccdbggbdcecdgdbdcfegbcbdcgdbgcbddafdfebddccgfcbddeecbgbddefafdbddfbfgabddfcecebddfeeccbdeaggaebdebfcdfbdeeebbgbdegeceabdfbegdbbdfdadefbdfdgabfbdgcdadgbdgcddbfbdgdfbbebdgedadebdgefabebdgfabeebdgfebdbbeadggdbbeaefdbgbeaefgbdbebfdbdgbebgcdgbbebgfbagbecdeaffbecdfbcgbecfabgfbecfcfbebedaegagbedagaegbedbdbgfbedcbgbgbedefebcbedgcbcfbedgcdbebeeccddfbeecdgccbeeecbfdbeefbdagbeefcfdabeegbgcabefcbebgbeggdaeabfabeffdbfacfgafbfaedfbfbfaeeddebfagcfbebfbecgafbfcagegabfcaggdbbfcbcfcgbfcbefcebfcbfegabfccedbgbfcdfcbfbfcfbbdgbfcggdabbfdadffcbfdagcgbbfdagedcbfdfbedcbfdfcbgbbfdffafabfecebfcbffabfdebffcbffabffcdbfcbffcecebbffdcagcbffecfcabffgbbdcbfgeccccbgaagcgdbgabgbfebgabgecebgacfddebgbadfeebgbbagefbgbecdcfbgbgacgcbgcbcgcebgcdagagbgcefacebgcegafabgdbdcfdbgdebcfcbgdfcbcebgebcgaebgebffacbgecfaecbgeddccdbgfbgccbbgfdebccbgfebbfbbggacbfdbggadccebggafcccbggcbdbebggedbadcaacgffecaaeggcecabbgfefcabefgcecacdfegccacefbffcacgdbffcadcedegcadegebecaebfgbfcaecgdcfcaedggcbcaeeceeecaeecggacaeeecfdcaefabggcafacgfecafcfefbcafgefaccagceagecagdaedgcagdecbgcagecefbcagegbcdcaggbebecaggdbgacbaefefdcbaggbdfcbaggebecbbffceecbbfffcdcbbffgdbcbcbgbfgcbcdgeagcbcfdgafcbcffadgcbdaeggccbdcgaffcbdgcaffcbdgedebcbeefacgcbefdeebcbfaeggacbfbffcdcbffecdccbfgacgccbfgeebbcbgbfdeccbgdgcdbcbgfadcfcbgfcgbbcbggebeaccabdeggccabggdeccaegdbgccafeedeccbcfdefccbcgdcgccbegedccccagbfgcccbcfegcccbdcggcccfdececccffcgacccgdbeeccdbcffeccddfagdccddgeccccdfcdcfccdgffbaccebeeedcceccgfbccecedgbccecfcgbcceeccfdccefffabccfaggcbccfcagdeccfdbgbeccfgcdeaccfgebccccgdbgccccgedgabccgfbagccdacgafgcdagcgafcdbafedgcdbcecegcdbecgeccdbgfddbcdccgeafcdceafgccdcfcddecdcgbceecdcgdceccdcgfdcbcddcdbffcddceddecddecebfcddedgbccddfabffcddgbbfdcddgbebecddgebcdcdeadcgecdeagbfdcdecgafccdeddbdfcdeebeddcdeegadccdfcdebecdfcgceacdfdbgdbcdfebfcccdgdbbgcceadggbcceaedafgceafgacfcebaeegdcebdbefecebddcefcebdedgbcebdegaecebdegdbcebdgceccebeeecdcebegacfcebfbdcgcebffacfcecbefbfcecdcdgccedcdaegcedcfdebcedcgdaecedgcbfbcedgeebaceeccfdcceecdgadceedcdbfceedfbdcceeebdfbceeeddbdcefcbaffcefdccfbcefdcfcbcefebcgaceffaceccegdaeebcfabdgedcfafddgacfbafebgcfbcecgccfbcfedccfbdcbgecfbebbegcfbeeccecfbegdbccfbgcafdcfccaegdcfcdagcecfcfdbddcfdcdgadcfdcefadcfdcfccdcfddaedecfdedabgcfdeebfacfdfbeeacfdgacgacfeabeeecfebbbffcfecdcagcfecedaecfecgdaccfedccbfcfedgeaacffbbfebcffbfceacffcbgdacffcgcbbcffecaagcfgaaffbcfgaebgacfgdbacfcfgdddcacfgeadbdcgabgdagcgaeebedcgaegbcdcgbbbggbcgbecdeccgcadcdgcgcedabgcgcfbbfccgcffbdacgcgdafacgdcffabcgddadcfcgddbcbgcgeacgaecgecaececgedbaeecgeeebbccgeeedbacgfcadfbcgfccbbfcgfdadafcgffaafbcggcfadadacefdgbdadcbggddadcebgfdadceefddadggdcbdaeacfgedaecfaegdaecfddedaeedagedaeegdaedafbeddfdafbedeedafcgeaedafdebgcdafedefadaffecafdagacgfcdagdcgbddagggdaadbabggdedbagedbgdbagefafdbbgdegadbccagffdbccggaedbcgcfdcdbdadgcgdbdcgccfdbdfaedfdbecgcbfdbfcebcgdbfdedbedbffbdagdbgbfccedbgdacfedbgdbegadbgefcaddbgegccadbgfdaagdbggafdadbggdebadbggeaaedcacedffdcadfdfddcbabfggdcbagfcfdcbdfdbgdcbebffddcbfbfgbdccaecgfdccbffagdccbffbfdcccdgbfdcccecdgdccfddecdcdacgdfdcdccfbgdcdcdefcdcdceaegdcdcfdcedcdfdfdadcdffcbddcfbagdedcfcbdgcdcfcdecddcfdbeagdcfedcafdcfgcebbdcfgfbbbdcgadbefdcgbfdaedcgcbbfedcgegadaddacefcfddadfceeddaeebgdddbadggcddbeecgbddcbgbgcddccdfcedddagdfbdddbbcfgdddbgebddddeddfadddgdafbddebgfbbddedbdfcddfbbcgdddfbgbdcddfebedbddffcfbaddfgbbdcddgacfebddgaeagcddggbccbdeagcbfddeagcfeadebageagdebbccfgdebcfafedebcgcgadebgbceddeccggbadecegcbcdecfcbeddecgadcededagacgdedbdbefdeddaagfdeeadccgdeebcaffdeebgfbadeeeddcbdeefeaccdefagdcbdefagddadefbagebdefbbgeadefccbeddeffacafdegbdbagdegccbfbdegdabfcdegdfbbbdegfaadddeggbeaadfaaeaggdfaccgdddfadgabgdfafgdbbdfbbcbfgdfbcbdfedfbecfccdfbfccecdfcadfbfdfdaedcedfdcefcadfddbebedffaefacdffafbebdffeaeaddgacdgaedgacfedbdgadcefbdgadddcedgafaddedgbbbdgddgbbcebgdgbbefeadgbbffaddgbecdfadgcbfadedgcebcdddgcfdcbcdgdacgaedgdbeccddgeadcdddgeaefbbdgeeaecbdgegadbbdgfbadecdgfcdcbcdggccbaedggdcbbceabbggfbeabdfcgdeabefdfceabgdcgceacafgedeacfaegdeacgadgdeaddfaefeaddffeaeadfaecgeadfaffceadgfabfeaeagdgbeaedfbfceaefdeaeeaefdgcaeaegccageaegfbaeeafcfagceafcfbedeafcfdcdeafcgddbeaffcfdaeafgddadeagabggbeagcdbcgeagcfecbeagfbebdeagfcgabebafedbgebbafggbebbbfbgfebbbggafebbcddgeebbcfgcdebbgfddbebbggbcdebcdeaegebcedeagebceegdaebcfbfddebdaagffebdcffdbebddegbcebdgcgcaebeaefagebedfbagebfaegbdebfafeebebgddcafebgedddaebgefdbaecabeffdecaegdafecafebdfecagfcebecbdbcfgecbfbcdgecbfcdcfecbfgagaeccbdbgfecccegcceccdfafdecdebbdgecdgbdbeecdggdaaeceagcbfecebcgbeecebedagecedgabeecefdebbecegabdeecfafcddecfbaffcecfdbcgbecfeadfbecgcaeececgdaeafedabgfdcedadedcfedadgfcbedaeadgeedaecebgedafddceedagebceedbcaeegedbcageeedbcgdcdedbfdcgaedbfeagbedcbfadgedccbdfeedccebgcedccffbcedcdfbceedcdgbfaedcecadgedcefeacedcgadceeddafcfceddbcgebeddcbdeeedddagebedeabcffedeaedbfededgdbaedfacfebedfaeddcedfbadcgedfcbefaedffbdadedgbfccbedgeddabeeadbeeeeeadfafdeeaeddceeeafcdbfeeagcddceeaggccaeebafebfeebgaadgeecafedceecagdbeeecdbcdfeedbecgaeedcfgaaeedfdbdbeedgcabeeeebdfcbeeebeaedeeefcabeeefaeccdeegbbgcaeegbdecaeegeadbceegebafaefaaecefefaeagcdefaecagdefaecfbdefbdbeddefbdebbfefbegcbbefcacecfefcfdafaefdacgdbefdbfgaaefdcacgcefddccfaefdfgaabefecdbfaeffaacgceffbaaefeffbeeabefffccbaefgaacgbefgabdfaefgaedacefgbaaeeefgbafbcegaaagdfegabbcegegaddcddegadeddbegafabfdegbadcgcegbbdeebegbcfbcdegbebaeeegcabdfdegcbdfcbegcdaccfegcddcdbegdabddeegdbedcbegdcaaefegdccdccegdcedbbegeaedbcegebcedaegfcagbaegfdcbadeggdbcaceggfacbafaaddcfgfaadecfffaadfgbefaaeecgdfaagafeefaagedgafabgfcaffacdeeecfaceecgbfacgcdcefacgdbfcfacgddaffadafgfafadbgedcfadcgdfafaddefccfadffbbefadgadbgfadgafbefadgcaeefaebafeffaebegdbfafbgaedfafcbcfefafgbcbefafgbdeafagacegbfagcafagfagcfaecfagebadffbabcdggfbacfgebfbaebgbgfbaefbeefbagffacfbbcdedffbbceceffbbdcgagfbbddffbfbbdfbcgfbcgafdcfbcgbefafbcgccgafbcgdafcfbdacggbfbeafcedfbedbegafbedfbfafbegadaffbegcaddfbegdabefbfbbfecfbgbdeccfbgcaeagfbgfdcbbfcaageedfcabdggbfcaccdegfcbagbfefcbgadgbfcbgbcfcfccddbeefccdeeccfccfgcacfcdgedbafceacdfdfcfaebbgfcfagagafcfdadfbfcfdbacgfcgaeecbfcgbdeadfcgcabcgfcgcafdbfdacdfcefdadbfbgfdaeeacgfdaeeedbfdbccgcdfdbeaafgfdbegbdbfdbfaafffdbfabfefdbgeccbfdcbffadfdccddecfdcdbccgfdcfbfdafdcgaeccfdcgbfbbfddaecgbfddafdcdfddcdebdfdddbfeafdddgaeafddeedacfdeacafffdebcbdffdecebbefdeebgbafdfafbebfdfbbdcefdfceebafdfeacbefdffbbccfdfgbcacfdgacacgfdgbdbdcfdgdbacefdgfbadbfeabcffcfeacgedafeadffbbfeafgdabfeagdecafeagdgaafeagfcacfebdgaebfebeeceafebfaaeffebffabdfecbffcafedccbedfeegbdbafefcaccefeffcaadfegabagcfegbdcdafegbebdaffabfbgbffabffdaffaeabdgffafafdbffbafgbbffbdegaaffbebcbfffcaeagcffcbdcgaffceacddffdadeeaffddadcdffecfabcffedbdcbffeddcbbffeeaafbfffafcacfffdaaagfffdccacfgaaddgbfgafbfacfgagbagafgbbfdcbfgbfabcefgcaaedefgcddabefgceccbcfgcfagaafgcgaeabfgecedaafgedbccbfgeecadafgeedbabfgfagaacfgfbcacdfggcbbdagaaagffcgaacegaggaacgceegaadfdbggaadgedcgaafeecdgaagfdeagaaggbafgabbeeeegabgbfdcgacecaeggacffbbegacgaagegacgddaegaddfcbegaeaaegegaeageccgaecceaggaedfbcdgaeebadggaefaeebgafafeeagafdeddagaffacfbgagacfafgagaebcfgagcebafgbabgffagbacggcbgbaedfafgbaffabggbbbdfbggbbebefcgbbedfbdgbbefbcegbbegeacgbcbcceggbcgfaccgbdfebbdgbeacefcgbeafbgbgbecdccegbedfaebgbeeccebgbefdadcgbegdeaagbgbbfdbgbgbcgcagbgcabcggbgcbbgbgbgfaaddgcaaccgggcabcgedgcaeaddggcafdccegcbdcfafgcbfebafgccbafeegcccdafegcccfcdcgccdfcdbgccdgfaagcdafgcagcdbdbeegcddbafegcdeaeebgcdebeeagcdgcdacgceabfcegcedaeafgcegfbaagcfbfbccgcfcafbdgcfcagbcgcgabfdbgcgageaagcgdcabegdadgagagdaeaeedgdaegdbbgdbadddfgdbbecedgdbbegcbgdbdfceagdbdgdcagdbebbgcgdbgadafgdcbdcdegdcbfccdgdccdcfbgdceaeebgdcedcdbgdcfeaeagddaeeaegddafafcgddafbfbgddbaafggddbagebgddcdfbbgdddbccegdddbdebgddfaaedgddggaaagdecfabdgdedbdeagdfaadedgdfacagcgdfacbgbgdfaebafgdfbcccdgdfcbbecgdffabaegdgaadfbgdgaagadgdgeaaebgeaagadfgeabbfcfgeaeabefgeaeeabfgeaefcdageafaccfgeafbgcageafcagbgeagadcdgebagedagebbdfaegebccbeegebeadddgebebacggebeeabegebgbceagecaabfggecafaedgecafbaggecdgbcagecfcebagecgcbdagedacbfdgedadcfbgedcbbcfgedcbbdegedcbgacgedfbcadgeecebcbgefbeaaegefdeaacgeffcabbgefgaaadgegabbaggegaccdbgegcdadagfbbfdcbgfbcfebagfbfebcagfcbgabdgfcdafbcgfdafbccgfddbdbcgfdfcbacgfeabcecgffcacccgfffbcaaggaaccdfggadaeafggadafccggbbddaeggbeccbcggcbcdccggceafabggdaaedcggdbcebbggddbcdaggeaedabgggabbbdaaagfdgfaabfffefaabgfgcfaaddgfdfaadgedefaaedfgdeaaefegbfaaefgageaafbgdgeaafdbgffaafdfegcaaffceefaagcfgbfabafeggdabbffgbgabbggbegabcgcgcgabdagegfabdcgcfgabdgefbfabeaeeggabeffbgdabefgcedabegageeabegfdecabfeadggabfefdbgabfgbgbfabfgdeddabfgecedabgcefbgabgcfagfabgfcgbeabgfebfdabggbdeeabggdcgbacbfgfbfacbfggbeaccdegfdacdaffgeacdbffgdacdbgffdaceddgedacedecffacedgcgcacefdecfacegafeeacfdgeebacfeddeeacgdccffacgfgbfaacggdcbfacgggbbdadagbfegadcfeddfadcgebfeadcgegdbadcggcceaddebdgfaddegcbgaddfeeagadeccgdfadecfafgadfbedfeadfdbgfcadfedaffadgacdgfadgccggaadgdfbgbadgeegcaadgfafagadgfbgdbadggdeadaeaecfegaeagcfcgaeagecefaebbfeegaebggfadaeccggdcaecdgdbgaecdggeaaecgdaffaecgecgbaedbedffaeddbgcgaeddcefeaedeefbeaedfefbdaeedggacaeeeaeefaeefggaaaefaeefdaeffcfaeaefgfeabaegebebfaegeebagaegefagaaegfgcbbaeggadfbaeggdbdcafabgdegafaeebfgafbccggdafbcefcgafbebeffafbeegdcafbfeebfafcccegeafcccffeafcdagdgafcefgcbafdaffbgafdcecefafdfecagafebfeddafeccecgafecdcgdafedfeeaafefadfdaffcceedaffcedecaffcfcfbaffeccdeafgbbgddafgeebdcagaagdffagaebdfgagafdgdcagagefeaagbagdgdagbbgebgagccdfcfagcdfadgagcebefdagddagedagdeecddagdfbaffagebdcgdagebgfcbagedecddagfabffdagfadfgaagfcfbbfagfeebbeaggcdeeaaggddafcaggfacfbaggfcbdcbaagcgegbabegcgfbabfegdfbabgegbgbadgdcffbadggdcebaeegbfebaefegcdbafgdecebagdgecdbagecgbfbbabegggbbcfgdgbbbcgdgecbbcggdagbbdgdbffbbecfecgbbecggfabbeeccgfbbeedeeebbeeefddbbfabggfbbfcggeabbgacegfbbgbdbggbbgbeggabbgbgebfbbgcdbfgbbgcdcegbbgdfecdbbgfbffbbcacggeebcaecgffbcafbgegbcaffddgbcbdffgcbcbefgfbbcbgdbgfbcccffeebccdeedgbccdgcgdbccedfcgbcdbdegfbcdefeecbcdgbbfgbceafdffbcebggbebcecagffbceeededbceeedgbbcfafegcbcfcdgbfbcfecffbbcgcfcedbcgcffccbcgebfddbcgedefabdbefcdgbdbeggbdbdbfafgebdcafgfdbdccbfgfbddbbeggbddegbfcbddfccefbddgeadfbdeccfdfbdedefbebdedegccbdeecdeebdeefdfabdefffacbdfcdefcbdfdeefabdfgafcdbdgbfaefbdgcgeadbdgefcaebdgfcbbgbeaeeddgbeaefegbbeaegbgdbeaffdedbebgefccbecafdffbeccdcgfbeccdgcfbecgdeebbedbfbffbeddgcgabeeadgedbeececdfbeeebdfdbeefbaffbeeffaddbefaadggbefdaggabegaacggbegcefbcbegefbbdbegfebeabegfeccbbfabecggbfaefbgdbfagfddcbfbgedebbfbggagabfcbffbfbfcebeeebfcgegbabfcgfacebfcggadcbfdbeeedbfdcafdgbfdcbgedbfdfcadgbfdgdcfabfdgfabebfebfadgbfeccagfbfecegbcbffafbfdbffbddfcbffcffbbbfffcdaebfgadfebbfgbaddgbfgbecfbbfgcbeecbfgebbbgbfgfbecbbfggabagbgacfafgbgacgfdcbgadegfabgadfgeabgagbdeebgbbdcfgbgbcbgcgbgbcgafebgbdddgcbgbdgaeebgbebcgebgbffacfbgcbefagbgcdgabgbgcecdcfbgcegabfbgcgageabgcgbgadbgdaffafbgdagdbfbgdcbfedbgdgfeaabgeaaffebgeagdbebgebbgcebgebdbdgbgebgfcabgedbecebgegadbebgfbfbddbgfeebaebgffafcbbggbaebgbggebbagbggedcdacaadefgfcaafceggcaafgcffcabffcegcabfgbegcabgggdbcacgefddcadefefccadfagdgcaebgddgcaedceegcaegdeeccafbeegdcafcfgdccafdfaegcafeecdfcaffefaecagdfafecagdfgbccagdgfcbcaggagdccaggbgcccbaefgbgcbbcgdgecbbegebgcbbfcgeecbbgdddgcbcagcggcbccefefcbcdfgbfcbcffaegcbcgebfecbcgfbeecbcgfgbccbdcdgfdcbdfdcgdcbedbgdfcbeeaeegcbefdgaecbegdecdcbegfedacbfacgfecbfaeggbcbfagagfcbfccggbcbfgeagbcbgdcdfdcbgdeebecbgecgbdcbgfacdgccaffebgccbgagcgccbgceeecccfcgddcccgbedfcccgbggaccdacgffccdbbfgfccdcfbffccdegafdccdegbfcccdfbddgccebeedfccebefcfccefacffccfbfbfeccfccbfgccfdeaefccffabgeccffbececcfgccagccgagfbdccgccdcgccgdacgeccgdbegbccgdbfgaccgdcaegccgedcagccgeebddccgfacgcccgfbaefccggbbfccdbecbggcdbfggcacdbggadecdccddegcdcfccefcddbafgfcddbcgcgcddbfebgcddcfefbcdddfecdcdddgdebcddeacfgcddffgabcdeadbggcdebffbecdeccgfbcdecggaccdedccfecdeecgcccdegebcdcdfcdagecdfdfcafcdfeafbfcdffadcfcdffcdebcdfffcadcdfgcebccdgagcbfcdgcagcecdgedebcceafafgdcebfedeccebggcbdcecdagcgceceedbfceceegadcecefacgcecgcbfdcedcgcgaceddcfeccedfbbdgcedfcgcbceeaffafceeaggbcceebddgcceeddgadceedfgabceegbbgbcefbddbgcefccfebcefcfcafceffbdebcegbdagdcegdbcfccegdddcccegdfdcacegfbbddcfbafaggcfbbddffcfbcgcgbcfbgebfbcfccfdbfcfdabggccfdacefecfdcegadcfdfdaedcfebfbcfcfecafedcfedcgbccfedeabgcffaecedcffdebafcffegacbcfgccebdcfgdbdfacgaafaggcgaecbgecgafbgcdcgagafagcgbacdgfcgbbagdgcgbdbfgbcgbddfdccgbebebgcgcafcgccgcbcgeccgcccfddcgccdgaecgccfebdcgccgfbbcgcddbcgcgcdfeadcgcecgdacgcfbdagcgdaegaecgdcbagfcgddaedecgddffbacgdfdddacgeacffbcgeafbcfcgebdbgccgecbebfcgecdfcbcgfbfgaacgfedbccdaaegcgedabegdfddabgcefedaccfefedacdfgdddadcdgdfdadcggbedadgebdfdadgfacgdaecaffgdagfeecbdbbegdeddbbegecedbbgegaedbcagcgfdbdbfdefdbdcefdedbdcefeddbddeefcdbdebffddbdeddcgdbdegbbgdbdgefbcdbdggabfdbededgbdbeefgacdbegebgadbfcbgfcdbfefaeddbffaefcdbfgdagbdbgacgeddbgbafdgdbgbfadgdbgcdfcddbgcfdcddbggcagbdcacgfdedcafdfbgdcbfebfedcbfeebfdcbfgeaedcbggbagdccbfaggdccceegcdccdedeedccdfdbgdccebgfcdccegbcfdccegdebdccgadgddccgaegcdccgdddddcdagcfedcddbfcgdcddcdefdcddeedddcddgddcdceagebfdceaggbddcebeeeddceeccgcdceeefaddcefbffadcfcfdcddcgbcgfadcgccccgdcgeacfddcgebecdddaaefffddadcfdgddaeegbeddbagbgfddbbffdeddbdgebeddbefafeddccedcgddccffbeddccgbfdddcefddcddcffadedddbcdffddddgagbddebdecfddebfebeddedcceeddefbebeddefcbbgddfcbfddddfcdfeaddfdbgaeddffeebaddgdeaagddggaadeddggaddbdeacfcdgdebeebeedecacfdgdecagagedecefcfadecffbcddecgaceedecgedcbdedcfebddedcgfcadeddcdfcdedfcgcadeecececdeecegcadeeecbdedeeegbdadefabbfgdefaeedcdefbgceadefdebebdefeagcbdegdfbdadeggaabfdfaaedgedfabbgdgdfagcgaddfbbgecddfbdageddfbecbdgdfbfceafdfcaafegdfcaegebdfcbegccdfccdefbdfcececddfdbfdebdfddfceadfdfbdcddfecdcagdfeddbcedfefbdeadffabdgcdffaedfadffafcbedffbddafdffcagbddffcbagddfgabaegdfgacgcbdfgafebbdfgdabdedfggaafadgaffbdcdgbbfebedgbeebfbdgbgdaagdgcafbfddgcbcbegdgceadeddgdadeecdgdccccfdgecacgcdgecadcfdgecccfbdgefaedadgfcfaaedgfdagbbdgfdgacadggaagccdggbaefadggbbagceaadgcgeeaadggceeaaecfgeeaagfbdgeaccgdgceaceafegeacebeegeacecdegeacgdgaeeadbddfgeadbgfgaeadcggaeeadeafdgeaebgdcfeaeddfceeaefebedeaefefdaeaeffccdeafafcefeafcafdgeafecbdgeafefacfeaffdfadeagcedbfeagfcdafebbcffbgebbcgafgebcbcgfeebcfgbbfebdbdfeeebdbggdbebddfefaebededecebeecbfeebefedaeebegabdgebfcdfbeebfcgddbebfgbcgaebfgcbagebfgddcbebfgedacebgaaeffebgbfdbeebgdddafebgebfeaebggbgabecabeffeecagccfeecagefccecaggbfbecbafgdeecbfgbbfecbgefdaeccabggeeccagagfecccfdgbeccddeedecceeccfeccgdbgbecdbddfeecdbfddeecdbgcbgecdcdfddecddfcagecdebdgcecdedadgececgcfaecedeebdecegfcbbecfabbggecfabgfcecfabggbecfbbfgbecfbfbedecfcbfddecgaegbcecgbbfagecgdgbcbedafeefaedagddceedbcgbgcedbfcbefedcacdgfedcbbfefedccccffedcegagaedcgadgbedcgdadeedcgdccdedcgfdaceddagcdeedddddeceddegabeeddfadededeacggaedebcgafedebdegaedeccbgdedecefdaedegagcaedfcccgbedfcfcaeedgcaaegedgccedbedgdgacbeeafaaggeebcbegdeebdecgbeebedbfdeecagcdeeecbdffbeecfccceeecgbfadeedgaadfeeebeeaeeeedbbfdeeefdaafeefbbcgceefbdcgaeegbcceceegbcfadeegcacbgeegcbbdeeegcedcaefacfagdefaefafcefafdbfcefafeafcefageaagefbadgecefbcbbgfefbeaebgefcabedgefcacgfbefcbdgaeefcecgbbefdbagbfefdbdeafefdeaccfefdgbdcbefeedbeaeffaabegeffagdcaeffccabgeffdbabgeffebcbdeffffabaeffgabbdefgaaaffefgdcfaaegaccgdcegafagaeegbabggbegbcbdgcegbcefbcegbdadfdegbdcbfdegbdcfeaegcbfcafegcdadedegddeccbegdeacddegebadbgegeegbaaegfdbdbceggagcabeggbafdaeggbeccaeggdcbadeggeaaaffaaefgebfaafbgdffaafgdecfaageeecfabafcggfabagffdfabcdegefabdfdcgfacbbeggfaccbdggfaccdggbfacgbddffacgfagbfadaedfffadddfbffadeffcbfadgbbeffaecagdffaedeaeffafaagfefagdbgdbfagdccdefaggaaeefbafeefbfbbbfgcefbbebeeffbbeedbgfbbfdafffbbgdadgfbcbfdgcfbcdcdeffbcfecbffbcgdafdfbcgfecafbdaedfefbdbbgfdfbdecgccfbebgcecfbeeafbffbefcbgbfbfdfaagfbfdgcbcfbgaedddfbgbdefafbgbgdadfbgbggaafbgeaafefbgfacfbfcaagfcffcacfdgcfcadgaeffcaecbfgfcaefbfdfcafdcfdfcafdeagfcafgabgfcafgcaffcagcebffcaggabffcbcaffffcbcfbeffccafgdcfccagecefccageddfccdeagdfcceffcafccfecbefcdabgcgfcdaefbffcdafdedfcdbcaggfcdbfdagfcdbgedbfcddaegcfcdfafebfcecaecgfcecfbcefcedefacfceedafcfcfbgbfafcfccdfbfcfccfdbfcfgbbebfcgafccdfdabeggafdaecgebfdbdaeeffdbgebcdfdbggccafdcaecgdfdcaedcgfdcfcbdefdcgcafcfddaffccfdddacgdfdddcgcbfddddbgbfddebagdfddebbeefddedgbafdeddccdfdefbccdfdfabdcgfdfbgcbcfdgadfdafdgdcdadfdgefacafdggcabcfeaageddfeabggadfeaebdcgfeaebfagfeaecaegfeafddcdfeagagaefeaggabdfebafgaefebbageefebdfaedfebedbgbfebgeadcfecbdaegfecbecdefeceacfdfececagcfecgfbcafedbdagdfeddagccfedfafcbfeeaddbffeebagebfeebbafffeebbgdbfeebdcfbfeecafdcfeecddbdfeecgbbcfeedfdabfefbgabdfefcagbcfefgaeabfegaedbcfegafebafegbeeabfegceaeafegeaecaffaaedcgffaaeebgffaccgcdffaddbcgffbeccagffbfbcbfffbgadebffcceadeffccecfaffcdbgbcffcedaddffcefaccffcfacfbffdadbdfffdgaaecffeadeccffeaffabffebbebeffecbbbgffedadcdfffaaecefffaccgafffbeaebfffdcbeafffeadbcffgaeabefgaccfbefgacdebefgacdedcfgadfbbefgaeabgdfgagcebbfgbabcfffgbdgdbafgbfebadfgbgaccdfgbgaeadfgbgbcbdfgcbcaeffgdbfadcfgddgaacfgdgaabefgeaaebffgececacfgedaagbfgedbbfafgeebccbfgfagacbfgfbbbbffgfdcadbfggbbaagfggeaaeagaacggdcgaafgcecgaaggfbbgabbbgffgabdgadggabgebdegacbdefegaccbcgggaccfefbgacgfbcdgadbgcgbgaddcffbgadfgdbbgaedeccegafbgcfagafcdeebgaffbdafgagdddaegagecbcegagfgbbagbacdfeegbafedecgbagdfccgbbaffgbgbbagdeegbbcdfgbgbbcfgbdgbbcgfdbgbbgacdggbbgbaeggbbgcfdbgbbggcdagbcbfbefgbccfagdgbcdcagfgbcddgaegbcebddfgbcgbefagbdbbeefgbdbcgbfgbdcdecegbddgagagbdeafcegbeceaeegbecedcdgbfaedecgbfbagcegbfcdafdgbfgdabdgbgacgccgbgbaddfgbgfaedagcacegdcgcaefgcagcafgaaggcagdbdegcagdcddgcbbcgfcgcbdefeagcbebcdggcbfbdcfgcbgegaagcbggcacgccagefagcccbgddgccdeeeagccefacegccfabdggccfdagbgccgccebgcdccdbggcdfgaadgceacegbgceaegcbgcebafbggcecbgaegceceadegcfcafebgcfeabcfgcgabfebgcgbafdcgcgdccccgcggeabagdaadfcggdaafafggdagfaafgdbaecefgdbbfeebgdbcgaedgdbecgcbgdcbcefcgdcbddbggdcceafdgdccgbafgdcdcfeagdcecgcagdcffbadgddadegagddcbfcdgddccfbdgdddacfdgddebebdgdeaecddgdeaeeccgdebdebdgdedccafgdfbgbbcgdfdacgagdfdbaedgdfgaebagdgaegaagdgcaadfgeabbgfcgeadcaeggeadgaaggebaaeeggebcffcagebeccddgecbagddgecbddbfgecbeebdgecbfcbegeccedbdgecdfebagedadfbdgedaebfcgedccbedgeddddcbgeddeaebgedeaeaegedebddbgeecbcfbgeedcbbegeedecacgeegdbabgefbabdfgefbafaegefebbeageffabaegegabdcdgegbgabbgfacdfaegfbacefcgfbagagbgfbagbecgfbbeafdgfbdaeecgfcaagecgfccddaegfcebcebgfdabbfegfdadedbgfdbacgcgfdeaaedgfeafacdgfebfadbgffcaagbgffcbaddgffebbdagfgabcfagfgagbabgfgceaacggabfecbggabgddaggaebddcggagbcccggbaebdeggbdfdbaggbeeeaaggbgabbeggcbbcedggccabeeggcceaebggdadbecggdafcdaggdbeabeggdcdfaaggeeaabeggfbabfbggfbdcbbgggbacbdgggbcdbaaacggcffaadbgggeaadgfaggaadgggebaaeefgedaaeffedfaagcgcegaagdfaggaagdfeeeaagdggfaaagfgdagaaggfagdabadggffabccfggeabedgbgfabggabggacacgffgacagdgefacbcgefgacbeeggdacdegebgacdgcgfcacdgdgagacdggefaaceefcfeacefffbeacegffbdaceggadfacfdgfafacfdggeaacfeagefacfegedcacgafffdacgaggbfacgdecdgacgffcagacgggdbcadbdfeegadbgeedfadcddgefadcffedeaddbfgeeadddgfceaddgeaegadeffdagadeggcbeadfbfedfadfgbbffadgbaeggadgffdbdaebecfgeaebeebggaecgdgdcaedadggeaeddgdfcaedgfdcdaeeedgebaefafeeeaefdfcedaefdffdbaeffbecfaegbddgdaegdefdbaegfbebfaegfdcgaafadgdefafafdgcfafbggcddafcddbggafcededfafcfdgfaafcffagdafcfgbedafdbffbgafdeeaffafdefcfcafdegcceafdfbeeeafebgcdfafeeceedaffbedfdaffbgeebaffgabdgaffgacgcafgaffafafgdgcdbafgebgdbafgfaefbafgfbfdbagaaggdfagaffceeagbcfaggagbcgcdgagbdedfeagbgcbegagcbefcgagcdgfeaagcggddaagdcefceagdgbaffagdgbcgcagebdegcagedaffdagedefdbageedgcbagefdfdaagegbcedagfagdddagfbeegaagfdbfecagfdeddcagfdgabfagfedcecagffabefagffcbfcagfgbdcdagfgfbdaaggeedbcaggfabcgbaadgggebacefeegbacfdgdgbaddgeefbadegcgebadfcgfebadffgfbbaecgffdbaeggeebbafdddgfbafeaffgbafefcgdbafegefbbaffeeedbageagdgbagebfdgbageeddfbbbdgfefbbbgedgebbcdggbgbbcfegedbbcgggeabbeaeffgbbeagcggbbecdgefbbegegbdbbfaeggdbbfagegdbbgcdgfcbbgdcfeebbgffccebbgffddcbcaegfgcbcaggfddbccccggfbcccgffdbccdcfgfbccdeeegbcdggbfcbceaegdgbceafggcbcfaedfgbcfddggabcfdebgebcffacgfbcffbcffbcfgadfebcfgfgabbcgdfcdebcgedfdcbcggdddcbdabgggdbdaeffdfbdaggdgbbdbbfdggbdbfbgefbdbggbeebdcebgfebdcffgbdbddcfdefbddefcgcbddfgfadbddgcdcgbddgfbfcbddgfgcabdeaggfbbdecddgebdedggdabdfaegfcbdfagefcbdfcfdbgbdfcgecdbdfdfcbgbdfeadffbdfecgcdbdgcfccfbdgdddbgbdgdgdeabdggbfccbeacdfgfbeaeddfgbeagdgecbeagfbgdbebgbdegbebgcfdebeccfgbfbecdeecgbecedefdbedabgfgbedaddggbedccgeebeeabgffbeefbeedbeefbgcdbeefegcabefadedgbefeefdabefgbadgbegadfcfbegfbfbdbeggbedbbfaecegebfaedgfcbfaggdfabfbadeggbfbcfefdbfbegbeebfbgdfbebfcbgbegbfcccfefbfcdgdfbbfcebcfgbfceedgbbfceeeagbfcfeccfbfcfgcbebfddacggbfdddfcebfddedcfbfdffbgabfdgfbfabfeagbgdbfedbbgfbfeddaffbfegaaegbfegdbgabffacfcgbffdccfdbffgeabebffgfcacbfgebbcgbfgfbbdebfgfbbgbbfggdbccbgabgggabgadceegbgagfddcbgbbdfefbgccdgfbbgcfdbcgbgcgfcaebgddfdafbgdgcbbgbgdgcdebbgebededbgeddefabgfecgcabggbegcabggcbdedbggcffabbggcgbbdbggdfebabggebfdacaceagggcacefgcfcacfefcgcadbefgfcadbggeecadfcgdfcadfeegccadgdecgcaefecgdcaegdfeccafcggbecaffcbfgcafgfceccagaceggcagaefefcagcceffcagcfedecagcgcdfcagfcgdccbbggdcfcbccgcfgcbcefaggcbceggbecbdfeegbcbdffaegcbdffffacbedfgebcbedgdfccbeedfgbcbegcgebcbegdececbegeadgcbfafgdecbfbecfgcbfbefeecbfcebfgcbfddeeecbggbebfccafeefeccaggfdcccbecgfeccbefgddccbfdgbgccbfggbdccbggbdfccccfdgeccccgfedccddedgdccdedgagccdegaefccdfgeaeccdgagbgccebedgeccecedfeccedegbecceefcbgcceegeccccefbgbfcceffbdeccegecceccfdbgbgccfgeeadccgefbbfccggfcbccdaggcdecdbdcggdcdbdfddgcdcdgcgccdcedfcfcdcgefbdcddcdgfccdddgdeccddeecfdcddfffbccddgagcecdedeffacdfbccgfcdfecgaecdgagbfdcdgbccgecdgcffadcdgfdaedceacgcgeceacgedfceaddfdgceaedgdeceafedfdcebccgefcebeeefccebegdcececbfgagcecfbcffcecgaeeecedcgbcgcedebfcfcedfdcdeceeaeddgceeedagdceegefabceegfcdacefafeddcefbdecfcefcgbbfcefcgbfbcefdddfbcefdfaedcefegafacefgeaafcegaeececegbddgbcegcacgecegcefbccegecafdcegfbddccfafccgecfbagfedcfbcfbegcfbcfgbecfbgfbcecfcdeebfcfddfacgcfdgaagecfebgdfacfeccbegcfeebaegcfegbbdecffcdcgbcffdbfebcffddbfccfffcdcccffgaeeacffgdeabcfgaafeecfgacbffcfgafgcacfgbfcfacfgcccedcfggeacbcgaafgbgcgabdeffcgadgadgcgadgbfdcgaefafecgagefadcgagfgbacgbcdcffcgbegcfacgbffbbfcgbgdacgcgbgecafcgcdcefccgcdffbccgcfbfafcgcfdbedcgcgfbdbcgdbffaecgdccfddcgddecagcgdgbcddcgdgbcgacgebdegacgedbdgbcgeeagcccgeebdgacgfaeadgcgfbebedcgfbfbfbcgfcgafacgfddcdccgffafdacggbcbfdcggcdagbcggdadbfcggebbeccggegbabcggfbecadaafgdfedacagfegdacfcfdgdacfecgedacfgffadacgdedfdacgffbedadcfbggdadeebgfdaecffcfdaedefeddaeedddgdaeefbgddafbfbgfdafccfdgdafefbdfdafegeccdaffffaddafgaeeedagaggcddagcgfaedagdfbdfdagfgecadbafgfcedbaggebfdbbcegefdbbcggdedbbgeagfdbcdedgedbdddgbgdbdgcbffdbecddegdbedfebfdbeecgdddbefeeebdbfbdegddbfddfbfdbfgbceedbfggeabdbgbeffbdbgbgdcedbgcddfddbgdfcgadbggcbcfdcbcgfgbdcbdafggdcbdefeedccaegdgdccdefbgdcceebgedccfddgcdccfgaeedccgbfgbdcdcgcdfdcddefecdcdfcgebdcedggcadceedfafdcefaddgdcegbddedcegbecedcfbaegfdcfdefbddcfeagfbdcgbdfgadcgcddcfdcgcfcgadcgfbfdbdcgfegaadcgffbccddaefgdcddagafgdddbagfdfddbbgaggddbdfbffddbegbeeddccfgdcddcdcgedddcdeffbddcedfagdddagcgddddebcffdddfcbefddebegafddecfcdeddecgcddddefafecddegffaaddeggccaddfabcggddfccebgddfdcaffddfecbgcddfecgbcddfeddafddffbcedddffccceddgagcecddgbcfagddggdbaedeacffbgdeacgdfddeaefdcfdeaffebedeagagfcdeagfdbedebcfededebdcgfcdebgafbgdecadffedecaegbgdecbffagdecdebefdecefcecdecfdgdadedcdfdddeddagbgdedgbdcedeeaegfadeefafebdeegeccbdeeggbbbdefcgbebdefdbagedefgacdddegdaeecdegdbcfcdegddecbdeggccaddeggebacdfaccegedfadefagdfadffafdfafbdgddfafgdccdfagaecgdfcadbggdfccddgcdfcdebeedfdcacgfdfdgacgbdfebaffddfebfeccdfeccdgbdfecgabfdfedgbdbdfefaebedffeaadgdffgbfabdffgceabdfgbfadddfgdcbagdgacgebedgadcgecdgaddgcddgadfdagdgaecededgaedbfedgbceebfdgbecgeadgbfdgbbdgcfedaddgdabfeedgdcecdddgdfafaedgdfcbfbdgdgeadbdgeabcegdgeadcdfdgecabgedgecbgccdgegbceadgfaabgfdgfabcfedgfacaegdgffcfaadgfgaabfdggaecafdggeaebceaagdcfgeabfdgfceacebgfeeadecfeeeadfccgeeadgbcegeadgcdeeeaebbgegeaecfagfeaedcfdfeaeddeeeeaefgadeeaeggbbeeafbfgdceafccegdeafefdbeeaffecceeaffgbbeeafgbffaeafgdddceagaeffceagagfdceagbcdgeeagbdegceagefafceagfeeadeagffccceaggfbeaeaggfccbebadffgcebagcffdebbddffeebbegdedebbfebffebcbbgfgebcdfddfebcefeceebcegcdeebcegcedebddgdddebdeefbeebecafgeebecegcdebeecgcdebfdebeeebfeefdaebffaafgebffebgaebgaeafgebgbgdbeebgfdabgebgffaafebgffbeaecafggadecbebggcecbeebegecbefeceecbffccfeccdcegdeccddeeeeccdfdgbecdddffbecdeafdfecdgafececdgedaeecebcgedecedcafgecedecfcecfbgdafecfecbeeecffaegaecffcfadecgbcgbeecgbfcceecgccgccecgdbdfcecgefbdbecgfdcaeedabgdefedadcgcgedadcgfdedagfebdedbddcffedbecgagedbfdfafedbgfdaeedcfacgeedcfagageddaggeaeddbfffaeddcdgcdedddddededddeafeeddeagddeddgcbdeedecegadedefefabedfaegeaedfdbageedfedabgedgacedeedgagedaedggadbdeeadgeebeeaedcefeeaefbdfeeaeffaeeeafbcegeebcgeebeebgaegbeecaebfgeecbegcdeeccbdffeecdbedfeecdfceceecfbefbeedbfdgaeedefcdbeeeabgdeeeeacdefeeeagcgaeeecacegeeecffcaeeefabfdeefbcfafeefbgaddeefdgabdeegafdeaeegbfcdbeegcgacceegcgbdaefaaggbeefacbeegefaeabggefaegebcefafgafbefbfagdcefbgdedaefbgebdcefcbbgcfefccbgbfefcgbeeaefdaffbdefdeeagaefeafgcaefecabegefefbcfaeffaddageffagdcbeffceaeceffdbgcaeffefbbbefffdbdaefgaedbdefgccccdefgfbaafegadbcegegbabdgfegccbfbfegcdabffegcedadeegcfdcbdegdacafgegdaffbcegdcfceaegdefdabegdfadafegeabedeegebedccegecabdgegecaceeegedaadgegeeedbaegegabdcegfbageaegfbdcafegfcecadeggbcbddegggaccafaabfgfefaaefecgfaafgfaffabfeebgfacaegfefacdgebffacgbcegfacgbecgfadcedfefaebfecffaedffdbfaefcdfcfaefgddafaegccfcfaegebcefafafcdgfaffcdbffagdfbagfagfbfeafaggbdcdfbagbggbfbbffafefbbgcgfafbbgedagfbcbegbgfbccgcfdfbcffbfcfbcgebfcfbdagcdgfbdeagdefbdfdfdbfbdfeedbfbeaffcefbedcafgfbeddebffbedfcddfbfbddfdfbfcafgcfbfebgbdfbfedeccfbffeddafbfgdddafbfggbbbfbgdgafafbgegbcbfbggecacfcaddfdffcadfeedfcagddgbfcbbgfagfcbdegebfcbfbcgefccbcggcfccdbfgcfcceadgefccebffcfcceegcbfccfaggafccfbgcdfccfdbeefccfddecfccfgcccfcdccdfefcdcdddffcdceaegfcdedcgbfcdfcgadfceffbccfcegeafafcfacddgfcfcfbagfcfdfcdbfcfecbedfcgbbgbefcgbffcafcgcbfcdfcgfbdccfdaacgegfdadfcgcfdaefccffdaegdfafdagfdeafdbeffdafdcagdcffdccagcgfdccfccffdcdgbagfdcgfbccfddfacgcfdeaegccfdegagcafdfaedecfdfecacffdffebcbfdfgcdbbfdgaedebfdgdbadffdgebaedfeaaedgefeaafffcfebfcdgafecbeddefeccafcgfeccgbecfeccgcfafeceagbefecebccgfecgbdfafedaefcdfedcfdbdfedgcbfafeeecddbfeeedaagfefageacfefcaccgfefdeaebfegaddaffegccafcfegdcagafegebcbdffaabggdffabagdgffaddffaffaedcfcffagadfcffbcedecffbdagddffbdfbddffbfdfcaffbgbcbfffcafbgcffcdfcdbffcecbgbffcfbdebffcgcbafffdbbedeffdbgbcdffdcedaeffddbafeffddcafdffdgddbaffeaggaaffebedccffecadfcffeebccdfffabagefffcadddfffcdbcdffgaadfcffgagcacffgdbbebfgaafcgcfgadgbfafgafcgbbfgbdfbcdfgbeaddefgbgagbbfgcbbfcefgcbefcbfgceafaefgdbbbeffgdfbeacfgdfccadfgdgeabbfgecdafbfgecdbbefgecdcaefgefbaaffgfbbdcdfgfdadaefgggaacbgaaafgfegaabgedggaaededggaafeebggaagfdbfgabeafeggabfbfeegaceedbggacefgadgacfdcfdgacgabfggacgbebggacgdcgbgacggbebgadafceggadbfdfdgadccfcggadfaefdgadfddcegaebefaggaeegfabgaeffabfgaegbbcggafacfgcgafagcbggafdaedfgafddaefgafddfaegagecgcagbacgebggbagadgegbbbdggcgbbcfbgegbbdeefcgbbecceggbbfdbfegbbfddcfgbcbeffcgbcbgeecgbcfbffbgbcfffcagbdaegbfgbdagdedgbdbdggagbdefedagbdfdedbgbdgbgadgbeffaafgbfacgecgbfagfbcgbfcfdaegbfdbceegbffddcbgbfgaccegbfgagacgbgceddbgbgfadfagbggcacdgbggeadagcabgedegcbcfbfegcbeedbfgcbfcgdbgcbgaffbgccbagdggccbbfdggccffgaagccgddbdgcdbdecfgcdfbafegceafdecgcedbbdggcefeebagcegacgagcfbbbgegcfcdebdgcfdfacdgcffaddcgcffdbbdgcgaebbggdaagfbfgdacfdcfgdadbeefgdaddgdcgdaecdgcgdafbfaggdagbdcfgdagbdgbgdbcbggbgdbdegdagdbegdbcgdcaegbegdccfedbgdcdcdedgdcddbdfgdcfagbdgddbcbffgdebfacfgdedcdfagdeebedbgdeegbacgdefaebdgdeffabcgdegbgaagdfbcdecgdfceaecgdfdadgagdfdcdeagdfgaacegdgbabfegdgdddcageabdceggeacggcageadbgcegeadegadgeadgagbgeaebbffgebcddbggebdcbdggebdfcfagebfbagdgecacfgbgecaeccggecbbcffgecebaefgecgcgaagecggaacgedafdfagedbccdfgedcagcdgeddbbfdgedebcbfgedfaedbgedgdaccgeeacdcfgeebebfbgeebeebcgeeccdbegeecgbadgeedbcfbgeefaagbgefabffagefabgaegefbbafegefcfbdagefcfcbbgfaaagdggfaaeagfgfadbecfgfadebfcgfaecfaegfaedbfcgfaegacdgfbbccefgfbceddcgfbfefaagfcaeebegfceadecgfcebbdegfdacbgdgfdbcfdbgfdbdacggfddcfbbgfdecfbagfecadaggfeeecabgffacgcagffdbabfgfgacgbagfgcabecgfggbabbggaadcfeggaagcbfggacbcfeggadfecaggafabdfggbaccgdggbbbdcgggbebbdeggbegbacggcaccgcggcaddagggcbegabggccbebeggcdbdafggdacfaeggdafdbcggdccbgaggddadbeggdgdacaggeagdbaggedcbdbggeddbadgggccadbaaaegggfaacggedgaaedegegaaefgfedaafeedgfaafeeggcaagdfbggaagffdeeaaggefecabdeggbgabfgccgfabggefdcacageegfaccdgcggacdbgfgeacdgcgfdacfcgfedacffefgaacfgdefcacgafcggacgcgdgcacgebdgfacggadegadaffeffadbeffgdadbfegdfadbfgefdaddbfdggadddedgfaddeedffaddgafegadeeceegadfgfbbgadgcfgafadgdfgbdadggdbdfadggebedaebcefgfaecbdfggaecefbgfaecgefecaedcgegcaedfgdceaedggcfbaedggddcaeecggafaeeeddgdaeefddgcaeegeeafaefebeefaefedgafaefeffbdaefffgacaegcfegaaegdagfdaegffccdaegfgcbdafcddgcgafcefbffafcfgdecafcgcgbfafdfdebgafdgebfdafeddegcafededcgafedfbfeafefdffaafegedbeaffagagfaffaggafaffgacdgaffggfaaafgbaggdafgbfdfcafgcadfgafgfcfeaafgffaecafgffafbagaafgffagafcgfdagaffebgagbbdgffagbbggbgagbggdafagccggdcagdagcgeagdbcegfagdcgddeagdddgbfagdfdfcdagdgacgeagdgcgeaagebafgfagebffceagfacgeeagfbcgdeagfbgbdfagfdecbgagfdgagbagfedafeagfeefdaagffbdcfagffgfaaagfgfbeaaggaeecfaggbbfcgaggccffbaggfccfbbaagggdfbadffgedbagcggbfbbafgggcbbccfgegbbcffcfgbbefffbfbbefgebfbbgdddegbbgdfbegbbgdfdgcbbgegafebbgfbdffbbggecbgbcadffgfbcbdffgebcbecgfgbcbgafggbccdfgcgbccedfffbcdgdgfbbcecceggbcfafffebcffccegbcffeaegbcffecgcbcgcceegbcgcgbgdbcgcgdcfbcgdcdffbcgefcdebcgfecfcbcggecgabdbceeggbdcedgfdbdcfceegbdcfdfcgbdecbgffbdecdgcgbdedceffbdegegbcbdfcgfdcbdfdfdedbdgbefgbbdgdecdfbdgfccdfbeadggbgbeafbgffbeafegfcbebbeeggbebecgfebecffeddbedgabggbedgcdeebeeafegdbeecfffbbeedfcfdbeeeedbgbeefaedgbeegdbeebeegeafdbefbceffbefdfbgcbefgccedbefgfacebegaafgfbegbegbebegdcbffbegebgdcbegeecbfbegfacfebegfafagbegfecebbfbefefcbfbfeffbbfbgfcfcbfcebcggbfcfegaebfdagfcfbfdbefgcbfdcfeedbfdeagcgbfdgadefbfdgbagfbfebfegbbfedfdddbfefdeebbfefefcbbfegagebbffacggcbffdbgcebffdfadfbffdgcfabffeddecbfgaeebgbfgagfdbbfgbeccgbfgdagddbfgecadgbfgeddfabfgfebcdbfggbdfabgaadfggbgafdfgbbgbgceedbgbgfcbfbgcbfcegbgcfebdfbgdcfddebgddaegebgdeefdbbgdfcddebgeabfgebgeacdgfbgeddegabgeegbebbgeegfbabgegacfdbgfbdgfabgfebgeabgffagaebggadcgdbggaebefbggbaffdcaaggdgecacffbggcadeedfgcaebfgfecaedgaggcaeeggafcafegegacaffccgfcaffdfdecafgegeacagggdeacbbdeeggcbbefegecbbggebgcbcfggebcbdddefgcbefdddgcbfecdegcbfeedfdcbfegdbfcbffdebgcbfffedccbgcedefcbgcfgafccbcfgefccbefgfccccggedcccdbffgdccdfgebeccdgdfddcceagefeccebfcfgccfafgbgccffacfgccfgdafeccfggbcdccfggfabccgdaffeccgfaedfccgfebedccggaegbccggceebcdbgegebcdcbeegfcdcgcgeccdcgdfgacdcgffdbcddfbgedcdeddbfgcdefffbccdeffgaccdfbdfcgcdfbdgfccdfbfgafcdfdcgddcdfddfbfcdfeccdgcdfedfdccdffdbfdcdfgbgcccdgcdgfacdgcfcdecdgcgdafceagdfdecebcfefecebfdbgfcebgcfedcecefeagcecgcefccedbdgdfcedbgfddcedcafgfcedcdgcfceddcfdfceeagfagceebaeggceebafgfceebdgdeceeececfceeffcfacefdagfccefdcddfcefeceecceffdcagcegagbcgcegcdgdbcegfddaeceggebcccfaeegcecfcagecgcfcdfbfecfdbgececfdcfbefcfdcggdacfdebedfcfdgdgbbcfecbfcgcfecedfccfedbedfcfedbggacfefeaedcfegcddccffabgdfcffaeddfcffbefebcffbgbfccffbgdebcffcdfebcffcgcafcffdbbegcffdfcbecffffafacfgbagdecfgbfadfcfgcfdbdcfgeeabfcfgeeecacfgggcaacgafedcfcgbagfbgcgbcegcecgcdgeeacgdebdeecgdefbcecgdgaccgcgeabggccgeaefagcgedbgafcgedceddcgeebefbcgegaebecgegdddacgegfcaccgegfdabcgfafdagcgfbbcffcgfbcfeccgfcabfgcgfcceeccgfcdagdcgfcgaagcgfegacccgfgcdcbcggafbgbcggcdedbcggcefacdacfffcfdadbdfggdadcffdgdaecfcgfdaeeeddgdaefeeeddaegeecedafbdgfedafbeffedafefbefdafgcfdddafggcebdagdgdagdbbegegcdbbfdcggdbbggebfdbcbgeffdbddggebdbdgggcadbedgefbdbffcafgdbgafefddbgcgdecdbgebcegdbgegbfbdcbbgegedcbgfeecdccbgfgcdccbggfcdcccgbgfdccdfefddcdabgggdcddagegdcddfbffdcdfccgedcdgedbfdcededcgdceedgafdcefegcbdcfadfgddcffgaagdcfgeecbdcfgfafbdcgabfgedcgcbbggdcgdbgagdcggecbdddaegfceddbgageeddbgfdceddcadggeddcfbeefdddaeffedddcgbfedddcgcfddddfbcegdddgbededddgdgadddeadgcgddeaebggddeedbefddegcdfbddfaecgeddfededcddfggdabddgcgbfbddgdagddddgdfbgaddggedacdeafgcgbdebagcfgdebcedffdebdeefddebdfeeddebegfeadeccffbfdeccggaedecddfbgdecgbagfdedabeggdeddccffdedebbgfdedggdcadeebdcgedeeedbdfdeeeedfadefaagdgdefbgfdadegafcbgdegbcdeedegbffbcdegcaaggdegccaegdegcdddddegdacgddegdafbfdegecbbgdegfecbcdeggcaecdfaagegddfafcdgddfagebcgdfagedecdfagegaddfaggdccdfbbefgcdfbeecdfdfbffeccdfbgedcddfcadeffdfccgceddfcdfdagdfcdfecddfcfccfddfddgbgadfeafeagdfeccgdcdfedcefbdfedfabgdfegecaddffbfagcdffcbfecdffdecbedfffbccedfffccbedfffcdbddffffaeadfgbefbcdfgcdgbbdfgdeacedfgebdcddgacgfebdgaddedfdgadfffadgadfgeadgaebfcgdgaefceddgaegcfbdgagdgaddgbbbfffdgbbeddgdgbbgbfedgbfdbgcdgbgafbfdgcagbefdgcdbefddgcebbgedgcfebgadgcgecdbdgdbbfgcdgdccfbfdgdffdbbdgeecbdedgefdcdbdgegbfbbdgfbbdfddgfeabfddgfgceabdggaddgadggecaecdggfbfbadggfcdbbeaaeffefeabgecffeacfgeddeacgadggeaddcgdgeaddfffceadeecgeeaeddfgceaeegdbfeafbegfceafdagefeaffbfdeeafffbdeeafgceeceagbaggeeagcdeeeeagegagbeagfbcdgeaggfcccebaccgggebaddgegebaegfcfebafgfddebbegegbebbgbeffebbgddefebcggbgbebddfeedebddgegaebebegdeebefcdgcebegefadebfebfgbebgbfffaebgdccfeebggddeaecaddgdgecbcceggecbcfgcfecbdddfgecbegegaecbffaffeccbgfgbeccfaegeecddfeceecdgfdbdeceaffbgececdcegecefabfgecegaegbecegbaffecfaggdbecfcfccfecgcgedaecgdabfgecgddebeecgdeeeaecgebgccecggcgbaedaddegeedbffcdeedbgdcgcedcdfeagedcecefdedceeefbedcfddbgeddcgcbgeddgagbeeddgcfaeedeccfdeededefbdedeegcaeedegafebedegdabgedfaggdaedfdcfafedfebfbeedfgbbbgedgadfgaedgdeddbedgebccfeebbggcdeebdcegdeebdfgdbeebebedgeebedfceeecaafggeecacfffeecdfdeceecdgdafeecegbgaeecfceddeecgbbfeeecgecebeecggbdbeedabegfeedadedgeedbdaggeedcbedgeedeeddceedfafageedgaefbeedgafafeeebafdgeeecbfbgeeeeedcceeeefddaeeefffaaeefaeddeeefbegdaeefbgdaeeefcbfeceefcfdcceefcgaddeefdbbfeeefeecdbeefffbadeegbgceaeegdagbdefabafggefacedgdefadeffbefadgcgbefaegdebefbbfafgefbfdgcbefbgbgccefcagccgefccgadfefceaeeeefceedfaefcgbaefefdbcgfbefddddfbefddddgaefddfddbefdfbgcbefdgacedefdgbcgaefeedfacefefaedcefefafdbefefbcgaefeffeaaeffcbbgdeffdbbcgeffddbfbefffcaecefffdcbcefgbebgaefgecaceefgedabeegaagdgcegaaggebegacbffeegaccegdegagdddcegaggadcegbafedeegbagaegegbcfgbcegbefdccegbefgabegbgaeceegcacfdfegcagcedegcgeabeegdbccdgegedbfbdegfabfecegfccdcdegfecaeceggbadedeggebceafabfegfbfabgaffffaccegcgfaccfcgffadfdedefaefagbgfaegcefbfaegdfaefaegfgbafafbgceefafcfbdgfafcgccffafeagcffafgddcdfafgfagafageddbffaggbccffbadefgdfbbcfegdfbddgbgcfbdggdcbfbecegcdfbecfdfcfbeddgfafbegecebfbegeedafbfbeefcfbfdfcgafbfeacegfbfeccdffbfeedbefbfegaddfbffbgeafbffefbbfbgaedfdfbgdcbdgfbgfdccdfcaffeddfcagcfdefcaggeccfcbcdegefcbdceegfcbegfdbfcbfeafffccadgeffccbfgbffccbgafgfccdcffdfcdebgcefcdeecfcfcdgafbffcdggabefcecdebgfceebdgcfceedagdfceefbecfceegacefceffebbfcegcadffcfaefgafcfdadfefcffdcfafcgabfgcfcgadcfefcgafdfbfcgbedgafcgcdgdafdadaeggfdadfbegfdafcdfefdbbgbgefdbccdgffdbdcffdfdccegcdfdcdedcffdcefcbffdcfdcdefddageecfdddddedfdddfgcafddfeedafddfgeabfddgcbfcfdecafdffdeebeagfdeeecebfdefebcdfdegaeaffdfaeccgfdfaggbbfdfbgbagfdfdgcdafdfefadcfdfgcaecfdfgebdafdgafafdfdgdbafefdgddadefdgffcbafdggbebbfeabgedefeaedeedfeaeegeafeafbfbgfeafgbagfebddgfafecbccgffecbfdbgfecceeecfeccegccfeccfgadfecebffbfeceegacfecegbbefecfdaeefedaebgefedbfedcfedcecgbfeddafdefedfeeacfedgcbddfeededeafeeefccbfefeeaebfegagbdcfegcbfbdfegcdafcfegebdaefegedbccfegfeacbffaaggcdffabcgcgffaedgeaffaeeefaffaefbfcffaegbgaffagefbbffbbfbdgffbedfeaffbgaffaffcdgbafffcebeddffcebfbeffcefdcbffcgbfcbffdadfgaffddcdagffebcdcfffebfdccffeccbeeffecfdbcffegbcccfffbaedeffffbcaefffgaabffffgbaebfffgdaadffgaafbfffgbadcfffgccfacffgfebabffggccabfgadgccdfgafgdacfgagddeafgbaegebfgbbgeaefgbccdfdfgbdcgaefgbfddbdfgbgfbadfgcabgcffgccbgfafgcccceefgceagaefgcgbdccfgdbdbfdfgdccdddfgecbbeefgecbbfdfgecfaebfgfacebefgfbbdbffgfcbcecfgfdbbecfgfgcbcafggaadfcfggaafbefggcadfafggdfaacgaacgffdgaafgfebgabbffgdgabdefeegabgbfcggacagdgegacfeeecgadcecgegadeddgcgadfecfcgadgbgafgadgeaeegaecfbdggaeddefcgaeddfecgaegeccdgafcffaegafeafedgafeecfbgaffdbbggagafegagagdcebfgagdcfafgagdfdaegagebcfdgagfebcdgagfebfagagffeabgbadgdcggbadgfcegbaefecfgbafddgdgbagcdefgbbcfgcegbbefceegbbgcgafgbbggbfbgbceadfggbcececggbdcdgbfgbdddcdggbdeafgcgbdeffadgbdfdafegbdgfcbdgbececcggbeceegagbeeaddggbefebfbgbfdfcdcgbfecbfdgbfedcbfgbffcebdgbgdacefgbgddbdegbgfbfdagbgffccagcagfdafgcagffadgcbagcgegcbbecgfgcbgcfebgcbgcgdbgcbgeagcgcbgggaagccadffegccbgefbgccfbfcegccgagebgcddgbddgcdeebbggcdgebebgceacdeggcecdgaegceebbgdgcfabeefgcfadgdcgcfbcbgegcfbcgdcgcfcddddgcfeafafgcffbadfgcgcagdcgcgdcddcgcggbgaagdacfdeegdadbfdggdcbgccfgdccbgedgdcccagggdcccfbggddcadeggddceebegdecfgabgdfafaeegdfbbbffgdfbeebdgdfbgagagdfccafegdgecbafgeafeddcgeagbefbgeagcdddgeagddfagebfafecgebffaaggecfaeaggecgeadcgedadbffgeddaecfgeddbcdfgedeafafgedeccecgeeaadgegeecdbdegeeefdbageegcbbdgefbddfagefcfdacgefefdaagefgdbcagegagbdbgfadbggagfafdaeegfbbfgcbgfbbgeeagfbdfcfagfbgdafbgfcacbfggfcbdffagfccacgegfcccagegfcdcbdfgfcgcaaggfdbagbfgfdbbdeegfdbdaefgfddcfbcgfdgbceagfeaafgbgfebbfafgfebcecdgfececbdgfgfacadggaaafegggabedbgggadeadfggadecceggadgbafggafbagdggafeddaggbdbgbdggbdfafbggbeeaagggbfdceaggbfecadggbgadfaggbgdbeaggbgfacbggcaacfgggcbgaagggcfacgaggdadaefggdaebbgggdaecbfggdafbecggdbecafggdbeebcggdcbcdeggdecbdcggeeebcaggefbbdbggegabaeggegbcbbggfbbebdaadgegfeaaegbggfaafagggfaaggffddaaggfgafabbggegeabdffgdfabdgfdgeabeegbggabgcfgfdabggagfeabgggdddaccgggbfacdfgaggacefgfceacegfgdcacgcdefgacgefcefacgfafffacgfgccfacggdcefacggfcbgaddgbdggadegggadadgagfdfadgbffcgadgcgfbfadgfgfadaebegcfgaebegedgaebfceggaecbdgggaeceffeeaecfdeffaecgggaeaeddfgfcaedgagdgaedgfdfcaeeageegaeeedeefaeeggcceaefdfeedaegdecefaegefagdaegefdfbaegfafgcaeggfecbaegggfabafbeefefafcdbggfafebfcgfafedffecafedfffbafefegccafefffdbaffdcgfcaffedcfeaffedgbeafffegdaaffgfbceafgbcgfdafgcdgbfafgcgdecafgfbffbagaeedgfagagdfeeagbfbgefagbgfefbagccggfbagcdfeeeagcfgdagagcggfbcagdecfcgageceddgagecfcefageeacggagegaedfagfcefgaagfgcdgaagfgfceaaggbdfdeaggebegbaggecdfcaggfgabebaabaaabaedfefgbaffcfgebagfgcfdbbcgdgfebbfedgfdbbfgfefbbbgfeffbbcacgfggbcccfggebccdggfdbccfgdfebccgfaggbcdeegdfbcfgdgafbcgafeegbcgcbffgbcgcgfbfbcgeegfabcgfgaeebcggcagfbdafggfcbdbegcfgbdbgffcfbdcggfbebddcfgdfbddfgefbbddgfcgcbdfcdgcgbdfecdffbdffaeegbdgdcffdbeagaggfbebeffeebecfgaffbedbdfgfbedbfegebedceegebedegaegbedggbdebeedgfebbeefbedgbefacffgbefgagbfbefgbfecbefgeacgbegbgfebbegccgbgbeggafecbeggbgbdbfafgbffbfagdcgfbfagfagfbfbeedgebfbgcbggbfceegcebfcegeddbfcfffafbfdbeegebfdcfcgebfdedeeebfdfafefbfdgagdebfdgeaefbfebegdebfefafdfbfegbgbebffebefdbffegdccbfffbefcbffgbfebbfgaeggabfgafegbbfgeebedbfgfdfcbbgaeffcfbgafgffabgbdgfcebgbeegecbgbfcgfcbgbgaeegbgbgfdagbgbggbedbgcacgfgbgcdfgcdbgcfbfcgbgcfdcefbgcgaegdbgdcegcebgdcfbgebgdcffagbgdfdgeabgdfeagdbgebedgdbgebegagbgebfbegbgedadgfbgeeccfebgfafdgcbgfbgcdebgfcbbggbgfgdbfbbggbcbfgbggbdcdgbggbfcbgbggdfbecbggeebbfbggfcacgbggggaadcabggbggcaceefgfcacfeggdcafddggdcagcegdfcageefgbcagfbgdfcagfecgdcbbfdggecbddbgggcbdecgegcbecfggccbfggfcbcbgafdfgcbgfbfdfcbgfccffccbfggfbccbggcefcccebfggccdgfageccdgfgbdcceecdfgccefgagdccegaegeccfcbffgccfebgcgccffddeeccfgcgebccgeaeffccgeagcgccgeeegaccgfgddbcdbdfggccdbfbgffcdbggcdfcdcffgbecddaefgfcddcgfcfcdddefdfcdddeffdcdddfffccdefefdccdegbgcecdfcdfeecdfdgdddcdfdgfbdcdfededecdfgcfebcdfgebgbcdgbffgacdgcbgeecdgdadfgcdgffccdcdgfgdcbcebceggdcebdceggcebeffedcebgfdbgcebggebececedefececfdgbfcedcdgcgcededcgecedfgeaecedfgeeacedgcbgecedgdageceeadgefceeaggddceeceggaceedcdgeceefbegcceefcgfacefddbegcefddcefcefecegbceffgcdbcefgeeadcegfedaecegfgfaacfaagggdcfadffgccfbadfggcfbcgcegcfbedgedcfbeggaecfcbeegecfccfdfecfcegeafcfcgcgbecfdbefeecfdcgccgcfdddgcecfdfecedcfdffdbecfdfgdbdcfdgfbddcfeaagfgcfefebcfcffabfegcffbedgccffebcfecffgdcfacfgbdgebcfgbgcagcfgdbffbcfgdedbecfgdgdadcfgfcdebcgceddgccgcfbdfecgcfbfbgcgdbgcdfcgdcafffcgdgcfeacgecfgcbcgeeceagcgeefabgcgfaegdccgfbfdbfcgfdaaggcgffcebdcggccfcddaaeggdgdabgcffgdabgddggdadcffegdadfgdeedaeddfgedaedfefedaeeebggdaefgeecdafdgdgcdafegaegdaffbegedafffdfcdagafdgfdagdgfebdbacffggdbaeeeggdbbbgggedbdgdbfgdbfagdffdbfcfedfdbfddffddbfffdcedbfgffaddbgbegfcdbgcdegddbgcfecfdbgececgdbgfdcdfdbgffdbedcagegcfdcbedefgdccgbggcdcddggbedcdedfeedcdeedefdcegffbcdcfcfcfedcgdcfedddaedfegddafeefeddbcffefddbdcfgfddbddgdgddccdggddddbgbfgdddeffbedddfgagcddedefecddefcbegddfdeceeddfdgdcdddfebfdeddfffbecddfgcgbcddgagdbgddgagdfcddgccbfgddgfbcfddeafbggddeafgfafdeagedeedebcgcffdebdedgedebgafefdeccffdedecdggbddececdffdecedaggdecgfccededdcfeededeeeagdedegedbdedfdebfdedgbffbdeeaedffdeeeeeebdeegdaeedefbdgfbdefbggaddefcgafddefdaefedeffebagdegeaagfdegededbdegfddccdfaebfgedfaefgcddfaegceedfaegdcfdfagdfbfdfbbdgefdfbbfggbdfbcffbgdfbfbefedfcbefgcdfcfgcfadfcgcdgbdfdbfgdcdfddddcgdfdeffcbdfdfceecdfdgacdgdfeafgebdfecfddddfedgedadfefaebgdfefddafdfeffdbcdfegeebbdfgcddfbdfgdbcdfdfgdcbeedfgddfdadfgdebcedfgdgdcadgaebgeedgaefegadgafecdfdgaffedcdgbaeffedgbbggdcdgbeaeffdgbegbcfdgbfefaedgccebegdgdbgbgcdgdfcfccdgdffaagdgebfdcedgedbffbdgedecbfdgefcbeddgfaegccdgfdfdaddgfgbgbadggdedaddggecddbeaaeegegeaaegfefeabgcfffeacgeegceaeecfefeaeeddegeafceggbeafebcggeaffgedbeagaagggeagcgageeagdefddeagfgbeceaggcceeeaggeedbebagffcfebbcgeegebbebggfebbgeefdebcffddfebcffebgebddedgeebfceaggebfdedeeebfegbfcebfffebdebgaeggbebgcfaffebgcgeafebgdgbedebgecbgeebgeebdfebgfeacgebggbffaecagdegdecbfaggeecbgffdcecccgeeeeccefbgeeccfcgbgeccfebegeccgdgebecdafdfgecdbgaggecdgbdefecdgcgdcececffececedccfgecegfbgaecfaegcfecfeddfcecfeefccecfgaafgecgaaggeecgagfebecgbagdgecgbfageecgbgebeecgebfddedafgeagedbagegeedbeeggaedbggebdedceeagfeddegcfbeddfaggbeddfeagdeddgececeddgeedbedebfbgeedeefeeaedegfeacedfbeeededfdcegbedfdebgcedffagcdedffccfcedfgdabgedgacgfcedgadgddedgcfcgaedgddefaedgefcccedggbcbfeeabgfgceeaecdfgeeaggfdaeebbegfdeebecggbeebeeefceecaeegeeecfbgfbeecgdfeaeecggaeceedcegfaeeecgbfceeedabggeeeddceeeeeeeeeaeeeeefadeefbecfdeeffaaegeeffacdfeeffcdafeeffeaceeefggbbbeegaccffeegedcdceegffbdaeeggbadeeeggbcafefabegfdefaccdggefadcegeefagbddgefagecdeefbagfcfefbfdceeefcbggdbefccegebefccfeddefcfbcdgefcfdgadefdbdedfefdfcefaefdgcfdaefebgfadefeeagdcefeebgaeefegdagaeffgceacefgaegcbefgbgcdbefgcfaecefgcfbdcefgebbdeefgfgaacegabdgcgegabedegegacbfffegafdaffegagecddegagfagbegbafgecegbdcgecegbfddecegbgcdddegbgebceegcaaeggegdcgfbbegdeeddbegdefecaegdfcbbgegdgaaefegeecbbgegefccbeegfadebfegfbdgcbegffabgbeggddceaeggfedaafabefeeffabgfagffacggfeafadcedfgfadddefffadedfgcfadeegagfaeeffdcfaegeadgfaegfaeefafbfbfgfafegedbfaffaedgfafgadfefagafbfgfagdgacgfagecgfafbbefcgefbcfdbgffbcgfdcefbdfageefbecddfffbeceggafbedbegefbedefagfbefcdeefbfcdddgfbfcdefdfbfdbegdfbfdgaeefbffecfbfbfgcbeefbgbdffcfbgcgdcdfcadfgdefcbdcggdfcbeecgefcbgbdgefccefgaefccegfeafccgafcgfccgeccffcdccggcfcdfbaggfcdfbbgffcdfgbfbfcebgagefceddfcefceecedefceegafcfceegbcefcfcfedcfcfcggacfcfegafbfcgafbfefdabfffefdadgddffdagffdbfdbdfdgcfdccdbggfdcefaeffddadgdffddeafeefddgfcbdfdecbcfgfdecdgdcfdedaffdfdeeagfbfdeeddecfdeegcaefdefcdagfdefeagbfdfbagcgfdfbdfbffdfcdgaefdfddfaefdfeedaefdfefcdbfdffceaefdggceacfecfcfebfecfeafdfedafffbfeddgcebfedegbbefeeafdbgfeeaffcdfeeccfcefeecgfbbfeedgeacfeefdbagfefaedbgfefeafebfegbaeeefegbfcaffegbfgbafegebbbgfegecacfffaccfdgffacdgedffadgecdffaebgdeffafcdeeffagcccgffbcbgcgffbcdfedffbdfafeffbfcgbdffbffabgffbgfcbdffcaceffffcafbffffcbdcegffcegdbcffdcbgfbffdcgcfaffeafadgffeagfcbffecfgbafffacegbfffaedagfffdebcdfffgdbdaffgbcbcgffgbdafdffgcaffaffgcagdbffgdedcaffgececafgaaegbgfgacgdddfgaddcgdfgbbfdcffgbcdfddfgcbgcfbfgcdgbaffgcecdcefgdbbffcfgdgcddafgedaceefgefecacfgfbbgbdfgfbcdcefgfgeacafggagbeafggdbcbefggeaacffggfdabcgaaegbfggabegfddgabfefdegabgafffgabgdgaggacdfcgegacedeefgacgffeagadbgffcgadeccfggadgfdbegaeafgfcgaedcgfcgaeddgddgaeeebefgaegeddcgafbgddegafcgdbfgaffaefdgaffcgdbgagdcafggagfdafdgbacggbggbadgfgbgbaffgebgbagagdggbbaffffgbbgfefagbcafggcgbcccgefgbccgagfgbcedeeegbdaffeegbdcggdbgbdecfcfgbdgddgagbecfbfegbedeecegbegbffagbfecdcfgbfgfabegbgbcgddgbgdefbcgcacddgggcaefbffgcafgeebgcagcgcegcagdbeggcbcegfcgcbeccfggcbeecdggcbgffcbgcbggccdgcdcbfgdgcdddddfgcebcbgggcededgagceedcbggcefbccggceggdbagcfacgedgcfaecefgcfefaddgcffgeaagcfgecbcgcgbdaeggcgcdcgbgcgdgebagcgfabdfgcggadfagdacdfefgdaeedeegdbacgeggdbdbgeegdbfcgcdgdcdeeddgddddgccgddgecccgdeccbgegdedcfbegdedgddagdefabgdgdefdabggdegacdegdegadbfgdegeabegdfbaedggdfbfebdgdfcgcdbgdffbdebgdgeacedgdgefdbagdggbbbegeaeeeaggeaffgbbgeaggaecgebbfcfegebcgebegebdagdfgecaedefgecbegdcgecbgeafgecccgfbgecdfbedgececddegedageebgeddagaggeddcefbgedfgbcbgedgacdegeeadgfageeaegbdgeececgageeeabefgeeebbfdgeeedeadgefdabfegefdebebgefgaacfgegcbbcggegcceccgegebedagfabdcfggfabeefdgfafbdcggfafdeebgfafegbbgfagaffbgfbfbgeagfcaggbcgfcbbfcggfcbgeeagfcgcbgagfeaebfdgfecbebfgfeecfbbgfefaedbgfegabaggffbabffgffdacgbgfgaebfbgfgbaagegfgdbbaggfgeabaggfggcadaggaaafgfggagaffaggbfbgcbggcbbefdggcdgbbdggcgebdaggdbefdaggdebaeeggdgaafcggfabcdfggfbgdbagggdfbbaaaedegggaagbgfgfaaggaggfabefgeefabegfdgeabgedgefabgffgddacbegggeacbgffegaccfgdfgaccgfggcacddefggacfdffefacfefggbacgeggfaacgfegddacggafgeacggcgbgadbgeegfaddgcggdadgebegfadggdcefaeaeggefaebegfefaecgfgbfaeddggedaedefgdeaedfffedaedgaeggaeeagefgaeedggfbaeegddefaefcgfdeaeffggcbaefgecfdaegbeggcaegedefdafdeegdeafdegedeafdfcdgfafdfcggcafdfgceeafeffeddafegbfeeafegecfdaffcfgbfaffcgfddaffgbgceafgdddfeafgdgaefafgfbfedafggdafeagbefgbgagbgbfgeagbgfcefagbgfdeeagcdeegeagcgceefagdfeebgagdgfbcgagebgdefagecagfgagecddfgagecdggcageceedgagedddegagfgcebfagfgffcaaggfdedcaggfefbcaggggbaebacgggeebaeeggfdbafddggfbagbffgfbagfegfcbagggecebbbgeggebbcfggcgbbegggfabbfbgdggbbfgdgedbbgegfgabbggeddfbcagfdggbcdfdgefbcdgfcegbceagffgbcedfgeebcegdfeebcfbfegfbcfegdfdbcgdgfecbcgegdcfbcgfeecfbdddgdgebdecgbggbdegbgeebdegdedfbdegeebgbdfgebfebdgcdfdgbeaefegfbeccffegbeddbfggbeebdgffbeebfeffbeeegefbbeefdgagbeefdgddbefdgcdfbeffccegbegdfffabegdgcedbeggececbfagfcegbfbggfcdbfcaffgfbfcagefgbfdgcaggbfecdgfdbfegedcebfeggfacbffdbggcbfffbefdbffgcaffbffgddecbffgebbgbfgeecedbfgfecgabgaegdfebgagaffgbgagdcfgbgageecgbgbffffbbgbggdagbgccgfcfbgdeccfgbgdfadgfbgdfgadfbgebbfgfbgefddedbgfbgbdgbgfeddcfbgffdafebgfgbegabggagbefbggeaegcbggefagbbggfacefbgggadfccabggegecaecfgegcaedefgfcaefgegccaeggefccafffddgcafgggeacbecfdggcbeedggdcbegecegcbfgagfecbfgfegacbgccffgcbgcfgedcbgdfffccbgfeegbcbggbfeecccdgcggccdeefdgccedbgfgcceddgefcceffffbccgbdfegccgedaggcdcageggcdcagffgcddbgfefcddgefddcdeacgggcdegdfeccdegffdbcdgcegddcdgcgceecdgdcdegcdgfdaegcdggccfdceaddggfcebcgeffcebggaegcecgdddgcedcfdffceebgfedceecdggcceefffbdcefbfgfbcefcfecfcefdefcecefedeedcefegafdcefgffcacegadgcgcegagcdgcegdgcagceggeafccfaffffccfagegfbcfccfefecfdafgeecfddcgcgcfdfddeecfecbgfecfeeddfdcffdebefcffdedfccffgcdagcfgcffdbcfgcffeacfgdeebecfgedfeacgagdegccgbgdgcdcgbgefafcgbggcagcgcegadgcgcfffeacgcgdceecgcgedfbcgdceggacgdfcfcecgeedaffcgeffeadcgfcagfdcgfdebcgcgffacdgcgffdadfcggbbgfccggeagdccggebbgdcggecdeccggeebfbdabgdeggdaccgeggdacfgefedadbggffdaddegffdadggddfdaffcdfgdaffdefedagecfdgdageefeddbbgceggdbcgggebdbefffbfdbffcdgedbgcedgedbgdddgedbggdgccdccfeegddccffggadccgfbegdcdaeggfdcdcggeddcdeffgbdcfcegcfdcfgeebedcgbbgegdcggddgadcggdeafdcggfddbddaegfeeddagbffgddbdffefddbeeggcddbfcefgddbfdeegddbfeeefddbffefdddcbfgfedddafggdddecfefdddedegceddeeafgeddefeegaddegbfdeddfbefcgddfcgceeddffgbddddfgbbegddfgcfebddfgdfdbddfgfcafddgafgddddgcbfgdddgdfbeeddgebgceddgeffdaddgfcgaeddgfdcdeddggbdfcdeadggfcdeagbgdgdebafgffdebfbgdgdebfegecdecbedggdecdggebdeddeddgdedfcgfbdeeedbgedefbbgefdefbdfdfdefbegdddefcfbgddeffdadgdeffeacgdefffcfadegebcdgdegecccgdfaddefgdfceegebdfcfbffddfcgefbddfdcgbfedfdeeaffdfdfcgcddfebdedgdfecgaefdfedafgddfedfbfddfegcdfbdffagfcddffgdecbdfgbdededgadcegfdgaedcgfdgagcfeddgbbeggcdgbdgdfcdgbfbdffdgcbdeegdgcdbeffdgcfgacfdgedfgbbdgeeaggadgeefeaddgegafafdgegcdfadgfaaefgdgfbfdecdgfdegcadgfebeecdgffdagbdgffgbdadgfgadecdgfgeaebeabbfgggeabfdgffeabfgfdfeacdggcgeaddcgfgeadfegdeeaedfdgeeaeegcefeaegfdfceafggceceagfgadfeaggcefcebbgeegdebbgegdeebbggdgcebcffgbfebdeefcgebdfebfgebdgeffbebeecffeebeefgbeebfdfdcgebgbcfffebgbgbegebgcfgafebgeaggcebgefeafebgfccefebggaefdebggbafgebgggcbdecbafggfecbfbgffecceffcfeccgeagfeccgegafeccggebeecdedgdeecdfeddfecdgcggaecdgdgebecebggagecegdfcdecfeffdbecffaggbecffcfececgbfdcgecgbfefcecgeadegecgfgeacecggdagcecgggebaedagdffdedbefggaedcegefbedddbggdedeafedgededgeebedeeeccgedeeedededegdgcbedffbegbedffdagdedffedebedfgfaagedgadcgfedgagfdcedgbfdcfedgfdcceedgfdcfbeeagdgddeebcgdefeebfgcdeeecdfcgdeecggbfbeedbdcggeeecdeeeeeedeageeefccdefeefdfbcfeefecebfeeffaeedeegaefgaeegbfeafeegcddbgeegddccfeegeafddeegebefbeegfcagceeggadfbeeggcebcefbdefbgefbfaffeefbfgfcbefcbedegefccdbggefccffgaefccgeecefcdcfgcefcefgcbefcegcecefcgbgcdefcggbfaefddcgddefebcefeefecdebgefedcecfefedcfddefeddcgcefededgaefefaddfeffdfabgeffeafeceffgbfbcefgaaggcefgcbfecefgcbgdcefgcdbgcefggaeaeegacdfefegadcffeegagdgbdegbaegfdegbcgaegegbdeecfegbgcbefegbgdcbgegbgfecbegcbfgcdegcbgfebegcddbegegceddedegcfabfgegcffbecegdcaffeegddcfgaegdddfafegddfacgegdeadgdegdfacfeegecgadeegedbgdcegedfecbegedgbcdegegcgbaegfbdgeaegfdcdgaegffecdaegfgabcfeggacddfeggbecfbeggddbbfeggebddceggfcbbeegggbdadfabedffgfacgdfeefaddgecgfadgddgdfaeadggffaecdgfefaegaefffaegdfbffaegfeaffaeggddcfafcgceffafcgfcefbacfeggfbbafgfgfbbcfgeffbbffbfgfbcggbcgfbdddgdffbdeaeggfbdfgdecfbdgcgcefbebfdfffbecdcggfbeegdagfbfafegdfbfdfffafbffddbgfbfgdafefbgafegcfbgbgafffbgeddcffbggbbfefcaeggcefcbbgegefcbfcffefcbffecffcbfgceefccfggcbfcdcfgbffcdefdcffcdegeaffcebggcdfcefceedfcfbcfgdfcfbfafgfcfcdeeefcfebeeefcfefcecfcffbdgcfcgcbegdfcgcgeaefcgdgcbefcgeacgefcgfdaeefcggccddfdabegfffdaecggdfdaeggaffdafgfaffdagcdfffdbaefgffdbdecfgfdbebggdfdbffagefdcbdegffdcdfcfefdcdgafffdcdgfaffdceebegfdcgeebefdddegfafddeagcgfdedgfdafdfdgdeafdfedaeffdfggaeafdgaaefgfdgcgedafdgdcffafdgdfbfbfeacgbgffeadcegffeafgaeffebdfgbefebedbgffebedddgfecdbgeefecgeeeafedbbffffedbffecfeddcffcfeddebfefedeeecdfedfdaeffeeafddffeebdgbffeedgcfafeeeagfbfefcedgafefcfagcfefcfdbefefdaedffeffaagefeffabgdfeffbebefeffccagfefgdbcdfegbcgdcfegddbfcfegdgbeafegfadfbfegfcbddffaagffdffaccefgffacgecfffaefgbdffaegedcffaggagbffbcddgeffbfbgagffbfcegbffbgdgdaffcbcfdgffcgcccfffdebagfffdecbefffdgafcdffdgbgdaffdgceeaffeadgbffffbcdfdfffegeaaffgdbdcefgaececgfgafafeefgbadeegfgbafeeefgbagebgfgbbefbgfgbgbbeffgbgcgcbfgcecfdcfgcfdbcffgdaaegffgddfcebfgdebfdcfgfcbgdbfgfccdddfgfdcfbcfgfdebbefgfebeaefggaccgcfggbbfebfggbcbfdfggbfeacgaacfggegaaddfgggaagddgfgabgffgagacgdgcegacgdgecgacgeefcgadbfeeggaddgfaggadedfdfgaeeefecgaefafefgaefefbegaegcbffgafeggbbgaffecdegafggfabgagagegbgagdaeeggaggdcddgbaffffcgbbedfdggbbedfgdgbbfcffegbbgddfegbcfegcdgbcffegagbcgdfecgbeebgbggbfabgeggbfbdegdgbfdfdaggbfegcdcgbffeafdgbfgfcbdgbfggdbbgbgdgafcgbgffgaagcafefdegcagdbfggcagebffgcbaefgfgcbggdcdgccefefbgccfcggagccfgbcfgcdeaggcgcdfcfaggcecfccggcedfeebgceefdafgcefcfafgcefgdbcgcegddebgcfbdagggcfcaeffgcfcdcefgcgcagcfgcgcdeaggcgcgddbgcgeccdegcggaadggcggdbdcgdaebdgggdaegcfdgdbagdffgdbebgeegdbefgaegdcbfggagdccgefbgdcecgcegdcgfcbegdefaeedgdegafafgdegbccfgdffgeaagdgbbfedgdgcbdeegdgcegacgdgeccecgdggcaecgeaacgfggeaccfgegeacdcgggeadbgefgeadfddfgeafcfgbgebbefdfgebeddeegecadgeegecbgcfdgecddfcegecdfbeegecfccgcgecfebgbgedbfddegedbgdaggedcbdeggeebagcggeeccbffgeecccgdgeeccdgcgeedagaggeefbcedgeegbebdgefaegaegefbddcfgefbgbcegefbgeadgefdcaefgefdgebagefebcedgeffeaebgegabdfegegagacfgegbcebfgegbfcfagegffacbgeggcbbdgfaafefegfabgfddgfaeddcggfaedecfgfaeebgdgfafadeggfaffaeegfbdgedbgfbebfgbgfbeebeegfbeefbdgfcddagegfcdfbbggfcgafbegfcgfbbdgfdacffdgfdffaebgfdgbfcbgfeabfeegfeceafdgfegabedgfgbacefgfgbbfdcgfgbgadcgfgfaeadggacecdgggacggcbggadafdgggadffeaggbaebgfggbccfgbggbdgbecggbebcefggcaeeedggccbgbfggcebfdcggdbbcegggdbggbaggddgabeggdfbddcggeccbeeggeeebdbggfceebbggfddbebggfeafadgggbddaeaaaaaccaabcabaaacbabaaacggfgfaadabaaabdefggfabgfgbgfacabaabacdeegfgacefegdgadebgggeadecgefgadeegcfgadggfdbgaecffggcaeegfeedaeegggbdaeffbfegaefgadggaefggaefaegdfgddafbgddggafcdgfgdafcefgcgafceggdeafdeefefafdgdgbgafedcffgafeeefdfaffdddgfaffdgbgeafggcdeeagcfedffagcfffbgagcfgefcagcgdfgcagdcefegageeefcfageegcgcageegdbgagfadgffagfegccfagffcfcfaggfdceeagggccgcbaefggeebaegcfggbbcfeggfbbfcggefbbfgdgeebccdffggbceggddfbcfggcdfbcgeagfgbcgeebggbcgfffcebdefdeffbdfagefgbdfdggagbdffefcfbdfgccgfbdgebdggbebffeegbecgebggbedfgcefbedgfbegbeeddgefbeefccggbefcgedfbefeecgebefffdbgbegcbeggbegcfggabfcecggebfcfdgdfbfcffgecbfcfgcdgbfcfgdfdbfcgfbegbfdbfgdgbfdgeafgbfefgccfbfegcefdbfegdgdcbfgafgedbfgbbggebfgdbfgdbfgddefdbfggdbcgbfggedafbgbfgfbfbgceffcfbgcffafgbgcgdfdebgdgegeabgeccfegbgeceegdbgefccffbgfbfgcebgfdgebebgfeafefbgfgbgcdbgfggcccbggcdedfbggcdgbfbggdbcfgbgggdbedcafgdgeecagfggfacbdggddgcbefgfedcbeggcdgcbfefegdcbfeggddcbfgefdecbgcefgecbgegbegcbgfggcccbgggbcgccdfbgfgccdgecfgccfafeggccffgdcfccfgbfefccgcgbfgccggfcedcdbgfgcfcddaggegcddfffedcdegdgbfcdfagdgfcdfggcgacdgdgagecdgegcfcceafefgeceagegfdcebeeggdcedcefffcedcfdfgcedefggacedggdgaceecgefdceefgecdcefebfdgcefgcbgecegdbfefcegegebdcegfbcgecegfgeadcfaeffgdcfcbffgecfcffgcdcfcgeddfcfcgedeecfdcceggcfdgcgbfcfegeeafcfeggdbdcfgcegcdcfgegagbcfgfbfcecfgfgagacfgggafacgacffffcgagebgfcgagegagcgbfagffcgcceffecgcgddfdcgdefgeacgdgcgdccgeafgdecgecagffcgecfedecgedecefcgedeebgcgegcaegcgfbcfefcgfbdffdcggbgdcecggdcddfcggebcgdcggfcfdbcgggaceecgggdgbadadfgfcgdafceffgdafedggddafefefedaffegdedafggddedafgggeadbddegffdbdgeeefdbdgfcffdbecgegedbfeebggdbfgeagfdbfgfedddbgefgafdcaeggfedcdcggeedcdgddffdceceefgdcefagffdcfdeeefdcfdfgfbdcfedcgfdcfeeecgdcfgbgfcdcfgcgbfdcgbggbfdcgefeecdcgegccfdcggdceeddcggfafddddfbggddecdfffddedaggfddeegeecddfcgefcddfdggccddfggfacddgagaggddgdgdagddgeebdgddgggcbddebdgcfgdebdgdgededegdcfdedfegdcdeeccegfdeeddeefdeegddfcdeegfebddefcbgefdefdgdcedefgeeeadegagdcgdegagddfdegbfcdgdegcfecedegcggaddegebdefdegeeecddegeegaddegfcfdcdeggdbbgdfaedgfedfccffgcdfcgcecgdfdbegfddfdddeefdfdgedbfdfdgeebedfefbgbfdfegbfgadfegbgebdffagddfdffcbfdgdffebfcfdfffceagdffgdeccdfgafcfedfgbefdddfgeeeeadgabffegdgadfgdedgaeedgedgbaffffdgbgagfddgcefccgdgcfgfdadgdcefeddgdddfdedgddfaffdgddgdfbdgdfcgafdgdgddecdgeaefgcdgeeafgcdgeeedecdgeegedadgefdgcbdgegafgadgfcbfcgdgfccfgbdgfcgbeddgffdadfdgffdcgadgffeedadggacfcgdggddcgbdggddgaddggdeafdeabfggeeeabgfgfdeaddfefgeaecgfdgeaffdgedeafgdeeeeageddegebcfggagebdedgdgebdgfdcgebedfgfcebfdecgfebffgafeebfgeceeebgagcfgebgeefececadgfgeeccbefggeccfbgegecdecfegecdedfdgecdgfcfdecegffccecfaegefecfafgdfecfcffgbecgbegfcecgbffdeecgccfdgecgcecgeecggabfgedagdeegedbfgbffedccgfgcedcegcefeddeefgbededefgbedeegdceedfbgebgedfcefededfggcccedgbgbfeedgdeefbedgefagcedgffbceeebgegbeeebgfdcfeecbggbgeecegddeeedgcfddeeecebgfeeecgcdfeeecgfafeeedgcbgeeegafcfeefbceffeefcecefeefcefbfeefffbgaeeffgfbaeefgbcfdeefgcecdeefgfbbeeegcgbbgeegedcdeeegfcfaeeeggbfdbefaagggdefadggbfefaecggdefbacgggefbedgedefbeefbgefcdgdbgefdgfbddefebfgfaefeecgbeefefbgbeefefdcfcefegbeceeffbbggceffbedfdeffcafefeffgbgcbefgadefdefgccecfegaecfgdegaefcfeegbagedgegbddgfcegbdgdedegbfggacegcadggdegccgegaegcdbeffegcddcgeegcgceceegdeedfbegdefeeaegdfadfeegeaeffcegebdcffegecdcdgegedagfcegedcdeeegeegbfaegefbefbegfbcddgegfdeeeaegfebgaeegfedbfcegffcbdeegffebcdegfffdbbeggabgfceggagebdeggcagageggcdfdbeggfbacgfabcgfgffadfgcfefaecgfdffaeddefgfafacgggfafeeddgfaffdbfgfagbeggcfagcggebfagdegecfbcefbggfbedgagffbedgbgefbeeeggafbegbcfgfbeggdebfbfdeedffbfdegbffbfeddeffbffeeddfbgbdgcgfbgbefcgfbgbgfcefbgcebgffbgcgafffbggececfcagbffgfcbfegdefccagfegfccfdgedfccgefgafcdegebffcdeggaefcdfdgddfcecgbgefceegagdfcegddcffcfafgcffcfagffcfcfcbegffcfccgeefcfcfbgefcfeffeafcfgabgffcfgebedfcgcdffcfcgcfeddfcgfbceffcgfffacfdaeggcefdbgfcfdfdcbgefefdcdgfcefdcfbgdffdcgeefbfddfdfbffddgeadgfddgefdbfddgfdebfdebfggafdefegbcfdegdedcfdfbdffdfdfcgaeffdffdgadfdffgecafdgafdeefdgbdaggfdgbeecffdgcgagcfdgcgbgbfdgedefafeabfefgfeaddgeffeaeeeeffeaegddffebbgeeffebgbgdefebgcegcfecdcfeffecefaegfecfeddefecfggbbfecgddgbfecggbbffeddgcdefedgdcfcfeecfgaefeecfgdbfeeddffbfeedgbedfeedgcecfeeegdeafeeffedafefafebgfefbebegfefbeedefefccecgfefeeacgfegacdfffegdcdfcfegfccgaffbbegfdffbeedgcffcefadgffcgacgeffddgcagffdgcfbdffeabggdffebbeegffebgeafffeeaaggffeebfagffeeceecfffbdegbfffgaadgffgbcebgffgdcgadffgffbdaffggabedffggdbdbfgafbgfcfgbdffcdfgbfddbgfgbgddecfgcagcfefgcbfegbfgcccegdfgcdgdcdfgcfbdgcfgcgfdcbfgdbaffffgddeadgfgdecaegfgdfaceffgdgbdfbfgecdbeffgedbcgdfgedfcebfgefacfdfgegeaebfgegecadfgfcgcccfgfcgdbcfgfebeaffggcfgaafggcgaebfggdddeafggdecccfggeacedfggeaeafgaafgedggabgggdcgadfdggbgadgfefbgaegdddfgaegdegbgafcgegbgafdgdgbgaffgcbfgafgdbefgagagcffgagfcegbgbacggfegbbffffcgbccgfdfgbcfgbfegbdcgfbggbdeecffgbdffegagbdgafdggbdgagfdgbdgefcdgbdggdbegbedeceggbeecefegbeedeeegbefgacggbeggfcagbfcgceegbfddecggbfdfgdbgbfdgecdgbfegdfagbgacefggbgcdagggbgeadgegbgfcebfgbgffaedgbggfbdcgbgggaafgcagfgafgcbegbgegccagdgfgccggadfgcdcddfggcdefccggcdfbfcggceagddggcecgeecgcedggbcgceecdfegceegeeagcgdedecgcgfcdfbgcgfdbgbgdaafegggdafbfeggdbdffgbgdbfebeggdcddfeegdcdefdegdcegadggdcfdedegdcgdgaegddbffbggddbgfbfgdddfbdggdddfbgdgddefgcbgddfcedegddgecgagdeacfeggdebecffgdebgbfegdfaebgfgdfaefgbgdfcgeaegdfdgcebgdffebaggdfgcbgbgdgdfacfgdgfaecegdggfbdageaegbefgebfdddfgebfegccgebggcafgecafcfggecceagggecceddggeccgbefgecdcdffgececdefgecgcbefgedbbfffgedcdfbggedebefdgedfcfcdgeecefbegeecfccfgeeeffacgeegbefagefcbggagegabgdegegbagcfgegbddbggegbecedgegcecfbgfaddgfcgfaeeddfgfaeegdcgfaegbcggfagbfdegfbbgfbfgfcbgfbegfcdbegdgfceddcfgfcegfcagfcffbbfgfdcegeagfdcfbfdgfecbdgdgfeccgbegfefdcbegffagfdagffcacgegffcedcdgffecbfcgffedbcegfffdcccgfffedcagffffbbcgfgbfaedgfgccedcgfgcgabegfgdebbegfgfacaggfgfddcagfggbceagfggeacbggacfgcdggagedfaggbbcgdfggbegbceggccegeaggcdbfbgggcdfdafggdafeddggdcafdfggdddecdggdfbgadggdgdddaggeagfcbggebgfbbggeccffaggedbfdcggeebcbgggeeccecggefcacfggefgadaggfdabfeggfeadceggfeaecdggffacgagggaggaagggccdcdgggfbebbaabbcabaaffffgfaafgfdggaagfggcgabaacbbabaadabababacbabbbcaaacbbabaaccgfgegacefffegacegegdgacegggedadcaaaaadfgdffeadgdeggdadgefdgeadgggaffadgggfebaeddeggfaeeefcggaeefgefdaefegfbgaefggccgaegeggfaaegffedeafcgcgegafdegbggafdgcefgafdgegbgafebfggeafgddcggafgfbegeafgfdgbfagcgcdggagddgfeeagdecgffagdeffeeagefeeeeagegedgcagegfdfcagfdegedagfgcgbfaggeeffbaggefgdbagggfedbbacabbabacfgfggbadgdgggbafeefggbaggfcgfbbaaaadbbbacaabdabaaabdcgfdfgbddcfggfbdegbgegbdegegdebdgdfdffbdgegdgcbdggbgfdbecggfbgbegceegebegeeefdbegfdgagbeggbgbgbfcddggfbfcdgdfgbfdeddggbfdedfegbffedfcgbffgdebgbffgfefabfgbfggbbfgcggcdbfgfegdbbfgffdecbgagggecbgcdfdgfbgddgffcbgdfgdbgbgedgbffbgeggfadbgfgdfdcbgfgdgaebggbefcgbggcdggbbggdgbdfbggecdfecaaabcacaabaaccaabbbacacgggefcaefeeggcaffgfeecafggdfecagegffdcaggcgefcbbbaaacbcgfegfcbfedffgcbgdcfggcbgeedgfcbggfecfccdgfcfgccdggbgfccedfggdccfdegdgccffgcgdccgdeffeccgdggceccgeeefeccggfececdcgdgdgcdecdggfcdefefdfcdegefgbcdfcbgggcdfgcgedcdfgdfedcdgggedbcebgdegfcecddggfceceefegcedcfgefcedfggebceeaefggceeddggdceeefaggcefbfdfgcefebfgecefgcegccegdgagecegegbcgcfcfefdfcfcfgbffcfcfgcdgcfcgffbfcfdegfddcfdffbgecfebffgdcfefgafecffcffdecffddggbcffdgfebcfffegeacfgbfcgecfgbgfbfcfgddeeecfgebggbcfgfcdcgcfgfdccgcgagddgfcgagfbfgcgbfafggcgceggdccgcffgbecgcfgagecgcgfegacgdafgdgcgdffeagcgdgbgfccgdggafdcgeafgcgcgebffgccgeedcgecgefbcgfcgegadegcgegagdecgegdcgccgeggcebcgffdgeacggacegfcggdbfcgcggdegdbcggefaeedaagfgfgdadegfffdafbgggedagcgfgddagddgegdageegcgdbcegggddbdfgfcgdbeggededbfddeggdbgagdggdbgdgegcdbgfgfcddcdcfggedcdecgfgdcedefegdceffaggdceffgdddcfagfegdcfdcffgdcffggdbdcfgdgecdcfgedeedcgdfcegddcgfeeedddegeeeddfedfeeddgdfeedddggbdefdeafgffddebgedffdeddbfggdedgaegfdeecfgcfdeeddgcgdeedegcfdeedggbedeefcdgedeefgcdedeegcaggdeegffccdeeggfaddefadgegdefbdgfedefcbgffdeffcfdedeffcgagdegdadggdegdgdfbdegeebgddeggfcafdfbfefeedfbgfffbdfcegfecdfddfcegdfdgdfbfdfedgfafdfefagdfdfegaffddfegcfdddffcagegdfffageddfffebdfdffgegbbdffggdbcdfgdbcfgdfgfdfeadfggeedadfggfcaedgafgcfedgagdfcgdgbeeggbdgbfgefbdgbgaefgdgcbdggedgcgedbgdgcgedgbdgcgfddddgdbefgddgdbfefedgddggccdgdefgdbdgdfdgebdgdgdfcddgdggecbdgeafdffdgebgeeddgeddbfgdgefagdedgegdcgbdgfcfddedgfcggcbdgfeagdedgfedbfedgfeecfcdgfeedfbdgffbgdcdgfgfaecdgfgfeacdggbbgfddggbfeagdggcaeegdggcddcgdggcfgbcdggefedaeadggdefeaebfgfgeafggaegeafggfdceagffdeeeaggedeeebcgggfbebefgbffebegdfcgebfefbgfebfgbgcgebgdefeeebggdffbecaegfgeecbegfefeccbffggecdbfeggecdfegdeecdffegcecdgdefeeceedfefecegagefecgfdgfaecgfeeceecggcafgedbeegfeedcbfeggedccefgfedcgdeefeddeegfceddfdgbgededeeefedeegbefedegbfgcedfafgeeedfdgeagedfgdffaedgadfffedgfgccdeebfgdfdeecdgedfeecfdgedeecfeecgeedbggbgeeedegbfeeefcddgeefagfbgeefbfeeeeefeaggceeffgaedeegbdgdeeegebgbfefadgggbefafdfdgefagegceefcdeffdefcfcgdeefcfefceefdeddgdefdfebdgefdfeceeefebgecfefecbefgefecfdgcefecgeecefeddfbgefegabfgefegececefeggeaceffagdfdeffeaeefeffececfeffededdefffcbefefffgabfeffgbfebefgbeecfefgfcadgegadcgegegaegcefegagfddeegbeegecegbegbfeegbfafffegbfbgdfegbgfadgegcfbffdegcgfeccegdgadgdegdgbdgcegdgbedeegdgcdedegeaagfgegecdbfgegecefagegeedeceegefafedegefebgbegfaefcfegfbfeagegfdcgfaegfdfacgegffbbdgegffeedaeggaedcgeggfccfbfabgdeggfacgfgcffadeggcffadfegcgfaeggfebfafagfgefafcffeffafeggfafagefdeefbcgdgeefbebdggffbeeffedfbfcbgfgfbfdgbegfbfeegcefbffagdgfbfgefebfbgecbggfbgfdeedfbgfgaeefbgfgbdefcaeefgffcagdgdgfcceeeegfccfgddffccgafgffccgebfgfcdcbgggfcdcfcggfceaffegfcecggddfcegbegdfcegcefdfcfcggbefcfdbgfefcffgeccfcgcdffdfcgdfdcffcgefcgbfcgffbcffcggdgcbfdccgggbfdcdddggfddddfeffdddedfffddfebgefddfecdgfdedggccfdeebeegfdefgbedfdeggdeafdfddcgefdgaeffdfdgafgfbfdgeacgffdgfcfcdfdgfgbebfeabegfgfecagefffeccdgeffecffafffedafgdffedcafggfedfgdfafeecegbffeedagdgfeefdaegfeefefeafeefgfacfeegcebffefcbgfdfegceddefeggebebfeggecbdffaceegfffafbegfffbbfgeeffbddgfdffbfgbeeffdaggbfffdcbggdffddeddfffddffcdffdeddfdffdfcgafffebagffffebdedgfffbfcfdfffdebcgffgbcecgffgbddcgffgbgcbfffgdfddbffggcacfffggcafcffggedacfgaafgeffgaaggdffgafdfdefgagefaffgbfbfgcfgcafgedfgcdfecefgcfagdefgcgagecfgcgcfcdfgdcbfgdfgddafgdfgddegbdfgdffbecfgeaeefdfgecbdgefgecfgdafgeeafdefgefbddefgeffdcbfgfadcfffgfbageefgfbbfeefgfddcbgfgfeeagbfgfefeacfgffcgcafggadffbfggbdefbfggedccdfggegbdagaddgfcggadgceffgadgffddgaeefgcegaegfgeagafeeedfgagafgfdgageaefggageeeedgageffcdgaggfadfgbaddggggbbfbfgggbcceffggbcdfggcgbcffdgdgbdbcggggbdeegedgbdgdggagbdgfffagbeecfdggbefaegfgbegcddggbfcecgfgbfgdbdggbfggbfbgbgdcffdgbgdcgbggbgdgcedgbgfdgdbgbgfeeafgbgfgecbgcagecfggcbfggcdgccfgaffgcddcdgggcddeggbgceeadgggceeedfdgceeggbcgcfdedgcgcfdfbdggcffbgecgcfgecddgcgafagggcgdbgfcgcgdffeagcgeefeagdadcfgggdadcggfgdbebfgfgdbfaggegdbfdffdgdbgafffgdceeefdgddbgeeegdddceeggddeffbegdecebgfgdeecefdgdeeedgbgdegagaggdfcgagdgdfcgfccgdfgdagcgdgadfdfgdgecefbgdggebebgeaefdfegeafccgggeafcffegebededggebfdgfbgebfeegbgebgefafgecaggedgeccegdegecfgdbegedecdefgedfdbefgedfgfacgeebbfffgeecfeecgeedbcgfgeedbdeggefdffdagefdgccdgefeebbggegabfefgegdbcdggegfbdfbgeggbedbgegggaadgfagbedggfagddeegfaggfcbgfbdbefggfbebgdfgfbffcfcgfbgcfecgfcbggbegfccffaggfcdgdcegfcedeedgfcfbgaggfcfdgbdgfdafgbfgfdbfafggfdddfcegfebdecggfebegebgffaagdggffadbfggffcbegcgffdgafbgffeaefcgffggacbgfgbdeaggfgbdffagfgcdcfcgfgdagcdgfgecagcggaffdceggbgdebeggcdgcagggcgcagdggdbegdcggdddcdfggdfagfaggdfeeadggebfgadggedcbdgggeeefbbggeefaceggeegebaggegdfbaggfcfbddggffbadfgggabfbggggbacffgggbdbeegggcgbaegggdfafagggeddbcaaaagaaaaabbbdaaabbccaacdbaaababccaabfgeeggacabcbaacgeffffadacabaadbggffgaddgggcgadegeegfadfdgfgeadfffegeadgdggfdadgfgfbgaecfefggaeegeegeaefffgcfaegfgcgdafbfgdggafbggegeafcgfgeeafdeggdfafdfgdffafegggafaffdegefaffgbfgeagcgffeeagedfeffagfbffegagfebeggbaaaaebbaabadbbababcbbacaacbbadffgggbbbbbbabbbbcaabbeggfgdbbffgffebbggfgbgbbgggffcbccgffgfbcgeegfebcggefdfbdeggdefbdgfeggbbecdgggebefdbgggbefffeeebegcfggcbegggbcgbegggfccbfbfgffebfegfgcdbffdegdfbffggaefbfgageffbfgbfdgfbgbffcggbgcfeegebgegffebbgfbfgfdbgfefffbbgffbeffbgffedeebgfgfbcgbggaegefbggdcfefcaggegcgcbaaacbcbcfgffgcbfgeeffcbfgfdffccagfggfcceggfbgccggagffccgggddecdbdgfggcddegdfgcddfgggbcdfegfcfcdfgdfdfcdgbffegcdgcfgdfcebgeggdceegfdcgcefbgdgfceggcddgcfbggdfecfdcefgfcfddgdffcfedbgfgcfeefdfecfefefdecfgfcffccgdeggafcgdgcdegcgdgcggbcgefcegdcgfcfdgdcgfebfefcgfecfcgcgfedaggcggcbggdcggfecbgcgggabfgdafggddgdbeffeegdbefgfeedbfeedggdbgggcgcdcdcggegdcdcggffdcfdggfcdcffaggfdcfgefeddcgdfefedcggcbggdddggbegddeffecgddfcfggcddfedfgdddfedggcddffefbgddgdcgdgddgeegbfddgegeddddggcddgdebdgfgedebfeefgdebggfeddecgcgdgdeddgbggdedfebggdedfgcdgdeedfefedeefefgbdeeffcefdeegbdfgdefecgcgdeffgfeadefgdagfdegdeegcdeggagcfdfaaggggdfafgggbdfagffeedfbdgfdgdfddfcfgdfebgfeedfeebfgedffdefcfdfffdafgdffgaeefdffgddbgdfgadefgdfgafgcfdfgdefcedfgdfdcfdfgeebgddfgfbcffdfgfcfdddfgggdcbdgdcgbgfdgdegffadgdffefbdgeacfggdgeecdgedgefefebdgegdgbddgegdgeadgfaeffedgfcbfegdgfeedfcdgfegaeedgfeggcadggbgbfeeaeggedfeaffcgffeafgcefgebdgceggebdgdgfeebeegefeebfgfebgebfgffbfebgcgffdecddegffecefdeegeceffgfbecfbegffecffcfdgecggfgbcecgggdfaeddgcggcedebffgeedeeecfgedeffbgeedfccffgedgcdgcgedgegdbfedgegeebeeafbgggeecbeggfeecceggeeeccgfefeecdfegeeecefgedeecgfeedeeddggddeedegffbeedgedeeeedggadgeefbgaggeefffdfbeegcccggeegeegaeefafgdfeefagfcffefcfbefgefdgcddgefedecffefeggaedeffcegceeffecfgbefgcecfeefgdafgdefgedfbeefgfeedbefggbeecegafdcggegddgdgbegdebggcegdeedcgegdffbcgegdgafcgegdgcafgegdgddedegeagegcegedfbefegeedcefegefbcffegefgbbfegegadfeegegeeccegfcedeeegfgcefaeggbeefceggcdagfeggdcdcgfacefffgfaegddfgfafbggeffaffgceffagfeggafagffdgcfbcdeggffbceggdffbcgagggfbdgcdggfbdggcdgfbdggdgcfbefcfegfbfdedgffbfefedffbgcbgfgfbgeafgffbgfaffffbggebeffccefegefcdegdeffcegbegefcfcgaggfcfeeggafcfgcgfbfcfgfgdafcgecfcgfcgfddgcfcgfgfadfdcfgeedfddecefgfddegfecfddfgfebfdfecefefdfegccffdffbdegfdgadfgefdgaffcgfdgccgeefdgefdbffdggbfbffdggbgbefdggcfbefdggecgafecebgfffecegfagfecfcgeefecgdbfgfedcfcfgfededgbgfeegbfcffeegefbdfefagdfefefgbddffefgfcdcfegeacgffegfacfffeggdbfcffagggeaffbdgcgeffccgfedffcfegcdffcgbdffffcgbfgcffdebdfgffdefdedffdfdeedffeeeffafffddebgfffedebfffgbafffffgdacfgffgdcgcdffgedbeefgaafggefgaedefffgagbffefgbccffgfgbfgbgcfgcdgfbefgceegcdfgcgdagefgdccffefgdcefdefgdcgdfcfgecfcgcfgeecfbffgeecgaffgegdeccfgfabgdgfgfffaecfggagcfcfggeeebcfggefacefgggcdaegacdgfgegacggefdgaddfgdggadgdeffgafcfgeegafecggdgafggdecgagbgggbgaggefebgbcffegdgbcfffdfgbdegegcgbdffgfbgbefeggagbfccfgfgbfdbffggbfeggccgbffgdgagbgddffdgbgfeebfgbgfgacggbggagcfgbggfgacgbgggbgagccfeegdgcdfaggegcdgdcffgceebfeggcefafffgcefcefegceffeecgcegfgadgcfagegdgcfdgfcdgcgcfcgdgcgcfecfgcgeeeddgcgfcegbgdbdfeffgdbdgfeegddfafgegddgcgcegdeacfgggdecgfaggdedbfeggdedeefdgdfcfafggdfebfdfgdgdbdffgdgdgcgagdgedgeagdggccedgeadgefegebefgaggecbdggegedegcgbgedfgdbegeeedgbegefafgfbgefagfddgefdfagdgefdfcbggefeaefegegagceegegdcfecgegfacdggeggbfdbgfaefeeegfaefgbfgfafffgagfbdefgcgfbgbfcggfbgffaegfcbcegggfcegcdegfcgdccggfcgfcfbgfdcbgefgfdgadgdgfdgagcegfdgaggagfdgbffbgfdgebcfgfeaeefegfecgafegfecgeebgfeeddedgfeefadfgfefdedcgfegbgeagfegeeadgffagecegffbdgfbgffdaeefgffddbdggfgafagegfgbddeegfgccgfagfgeagdcgfgfdfcaggaegfbeggafgfdbggbbeeegggbcfgagggbcgfagggbeebegggbgagedggbgfagcggcafegdggcgbcgdggcgfddbggdbggbdggddbdegggdeeeebggdfedfaggdgbeddggdgfgaaggeceeceggegebebggfcbegcggfffbccggfgcedagggaegeagggbbgecgggcaggagggcdgadgggcgbdcgggdcgbcgggecbbgaababbeaabbabeaabbeabaabcabdaacbaccaacbcacaacccbaaaebbbaaaecbaaaagaabaababadcabbaadcabcabdaacdggffgadbabcaadcabbaadeaaaaadgeegegafcgdggfafffdgdgafgccgggafgegecgagcefgegagfecggeagffeegdaggfcgcgbaaddaababacbcbabadacbabcbacbadbacabaeabbabbabbbcbbcaaadbbcbaacbbffefggbcabcabbcacaacbcbaadabcffeffgbcffefgfbcgefdggbedgcggfbeefgegdbefggdgcbegcefgfbeggdgedbfddffgfbfefffdfbfegfcffbffegfedbffffbfgbfffgecfbfgeaggfbfgfffcebgcefdggbgdeefgebgeeecggbgeeggbfbgefgcdgbgfeedegbgffcdfgbgffgcdfbggfgdddbgggdcefcbbaadacbbacbacbbcbaacbfegefgccffggedcdaaabbcddfgcggcddgffgdcdefegfecdgdffdgcdgfdgeececgegfeceeeffgdcegeddfgcfcfedggcfcfffefcfdeefgecfdggegbcfffefcfcffffafgcfgdcdggcfgdfdefcfgfgbcgcgageegfcgbgfgcfcgcfdgdgcgcgegfccgeecfffcgeeeeefcgefgebfcgeggefacgfegccgcggdfddfcggfggbbdaaabcbdaabbbbdaacabbdabcabadbggfgecdccggggcdcgffgagdcggcggcddaaabadddggfbgddegcefgddegffedddfaggegddgefefdddgfdeefdedffcgfdeeggdcfdegcffcgdegdgfbfdeggcgbfdeggfeafdfbffdgfdfcgcfgedfcgegeddfdgggaedffagffedfffccfgdfgbefgddfgggadedgbefffedgbgbgffdgbgffeddgcfeggbdgdaggdgdgdccgfgdgdgcegddgfcddfgdgfcdggcdgfdfgcddggbgdfddggcdfgcdggddfgbdggdgbdfdgggaaggeaaacabeaababbeaeeefggeaggaggfebfgfgbfebgcgcggebgddffgeccegfffeccfcgggecegcggdecfgdgcfecgeeegdedbfegegedcgeeegeddbgfgfeddgfgceedebgfgeededfegeedegcegeedfeedgeedfegfagedffddgeedgefddfedgggbdeeecffggbeedgebgfeedgggbdeeefgbgdeeegdecgeefdfedfeefgdbgeeefgfagdefcfcfffefedffcfeffdefbgefgddefdefgdggdaefgeegbdefggbeedefggeddcegaegegdegbfgcdgegbgefcfegcagfgeegcccgfgegccfffeegccgefeegdfgbdfegdggdfaegecggdcegegefeaegfafegdegffdeddegfffdfaegfgfaedeggafefdegggcebefacgegfffafgddfgfagbgggdfbgcdffgfbggdddgfcbfgefffccgbfggfcfaffgffcfdfgdefcfefbfgfcgdegdefcgebgfefcgeeaggfcggbggbfdccgffffddgeecgfddgggccfdecdgegfdedfedgfdgccdggfdgcebggfdgeadggfdgecgdefdgfbgdefdgfebdgfeafgegdfecaffggfecfecgffedgebegfedgfddefeeeagegfeeegegafeefefcefefcggaffefdbdggfefffgbcfegagfcffegbebggfegbgfgafegdbgeeffaaggfgffadfefgffaedggeffagegdeffcddgdgffdgeeddffecfgceffeecgcfffeeefceffefdedefffgccgcfffgcegaffgagagffgafeggbfgagegagfgbfdgdefgbgeafgfgccfgcffgcdbfgffgceeefdfgcfdfdefgcfgbeefgcgaggcfgcgbdgefgdceefefgddggbdfgefceedfgegafcffgegbddffgfagagffgfebddgfgfffcebfggbedgcfggbefcefggcbgedfggcffeafggddfdcfggdgagbgaaggfffgabgffeggaddgdgggaedeffggaedgdgfgbbdggeggbcegdfggbdeefgegbdfgceggbeegecggbfgggbcgbggfgadgcagegfegcdeggfbgcdfedeggcefgagegceggedcgcfbdegggcfeeegcgcfegaeggcffdddggcfggagcgcgcgbeggcgegecdgdcfefcggddcffgdgddgbgfdgddgdecggdeaeggegdedddgfgdeefbeggdefcgbggdefdedfgdfagcgfgdfedgfbgdfeecefgdffcbgfgdffebdggdfgdgdbgdgaffeegdgddgcegdgeefafgdgegcgagdggbagfgdggffacgeaegfdfgeageggbgebeffdfgebefffdgebefggbgecaefgggecgdfgbgecggecdgedaeegggedcfgfcgedgddfdgedgedgbgeeacfgggeeefefbgegccbgggegcdbgfgegcdfgbgegcegfagegddegbgegdgaeegeggfebbgfaegecggfbbfggdgfbeggbegfdcdegegfdffgcbgfebcgdggfeddbfggfefbagggfegcfafgffacfffgffafdefgffcdecggffcgadggffeddfcgfffcgccgfgbeafggfgedgadgfgefbgagfggbaefggaeffbgggbccffgggbddgeeggbeecffggbegcgcggbgedbgggccedgeggcgcbgeggdbaggfggdecgceggdfafeeggdfdeceggecdggaggecgcbgggecgdecggeefcfbggegeadeggfafdgcggfegfbaggfgbgcbggfgebbegggcagedgggccfbfgggcfgbbgggdgbdcgggedfadggggbafdaaabadeaaabccdaaabcdcaaacaddaabbaecaabdcbbaabddabaacadbcaacbeabaacdbacaadbaaeabaadeaabagbaaabbcaeaabbdbacabcabbdabdacbbabddbaaabfaacaacbbcbbacbcadaaccacbbacebabaacgggfgdadaadacadaaeabadacbacadggdfgfaeegggeeaefeffgfaefgfdgfaegcgeggaegfdgegafaaacbafaacabafdggfdgaffggdgdafgggdfdagaaaacagdegfgeagdffgefagefgeefagegcfgfaggbgfgeaggcdfggaggdgefeaggedfffbaaaagbbaadbadbabdacbbacbbadbacccabbaeabacbbabafabbafbaabbbabeabbbadcabbbcbcabbgegggebcgfeffgbdefgggdbdegdfggbdgedfggbdgfggfcbebbaabbfaababbfaabbabfcaaaabfdggdffbfeefgfebffggeedbfgfegdebgaffggfbgcegdggbgdfffgdbgebgggebgeefeegbgfefedgbggbdgfgbggeegdebggfgagebgggcfdfbggggcgbcaaaacecaaaddacaacbdacaafbaacabdaaccbacabccbacadacbbeaaacbdacaaccggfdgecdcggfegcdfddgggcdggfbfgceacaaacebbaaacefgdffecegfecgfcfagegfgcfcgdfgfcfdeegegcfeefdfgcffcegegcfgdfffdcfgeaggfcfgefaggcfgggbeecgccfggfcgcdfffgcgddffffcgdgegbgcgedgbggcgfffbegcgfggcbgcggafgfedaaadbbdabbcabdacbabbdadbbaadaggeggddbabbcadbgdefggdcaabcadccbaaadcegdfgfddfdgfgdddfegedgddfgbgegddgbggdgddgfebggdedecgggdefbfffgdefdggeddegccfggdegggcdedfaaaaadfcfcggfdfedegefdfffebfgdfgadggfdfgecfgddgbfggbgdgbggbfgdgcffeefdgcggfcedgdbffgfdgdeedfgdgefeefddgeffddfdgeffecfdgffegafdggaegfedggaffdgeabaaadeacgegggeagfgfeeebbacaaebegefffecdggfeeecgegfbgecgfeedgedeefgeeedfgcgeeeecgegcgeedcgdggeeeagffgeeefgfbfeeegdgbgeeffddffeegfecfeefcgcfgeefcgefdfefddgfeeefddggcfefeeefeeefeegefcefefgceeefegdgddeffegaffeffegeeceffgeccgefgeccgfefgfcegcegcdeefgegddfdegegddffeeegdfecegegeafgdgegfdagffegfecgbgegffbcgfeggbgfceeggfcdfdeggfefaeeggfgabgfadfggdgfagcefggfagfffgcfagfgfedfbcgfefgfbffgggafbgfdeegfcfgcdgffdcfffeffdecfffffdedffgdfdeeeeegfdeeeegefdefgeedfdegegcefdfcffdgfdfcgcfgfdfcgdgefdfeegbgfdgdddgffdgfegfafeagdffgfeagggfcfebefffffebegefffebgfcfgfebgfffdfedgfeedfeeeggdcfeefcfdgfeefdffdfeefffddfeefgdbgfeegfcdffefagegefefdeefefeffdfedfegcgcgdffaffdfgffbegdegffcegbgfffcfgebgffeedfgcffefgeafffegbfcgfffffcbgffgbafggffgebgfcffgeeddeffgfdfcdffggdecdffggfbfbfgaffdgefgbcggdffgbfgcgdfgbfgfbffgbgcegefgccegeffgcgbffefgcgcedgfgcgefgafgdaffgefgdfdbgffgdggedbfgeagbggfgebbggffgefeceefgegbdgdfgfddfedfgfefdcefgffbefdfgffecgbfgfgdgdafggbbgdgfggbdggbfggedddefggeefdbfggfgceafgggdddcgaaacaagaggdcfggagggcfdgbfgfgfagbgbfdgggcagfgdggceffceggcggdddfgdddcgfggdegdagggdfbfgfdgdfefgfagdgddffdgdgdfegbgdggbgaggdggffdageaggceggebgdeeggeccgfdggededcgggededgeegedefagggedfgceegeedfgcegeeeedfegeefdceggefbdfffgefcfgecgefcgegbgeffbfeegegbggfagegdfaffgegeageegegeeaeggegfbfedgegfgebcgeggabgfgfbfegcfgfcddegfgfdbeefggfdeafgfgfdfbgeegfecbgeggfeeaggdgfeebgfdgfefcfdegfefcfedgfefdddfgffgagbfgfgcbgcggfgcfegagfgegbbfgfgfcfcdgfgfeagcgfggafddggabgfegggagfecfggbecfgeggbfebfgggcdfgagggcfegafggdddegdggdegadgggdfegdbggdfffeaggdgfdafggeafgedggebfedfggedafffggedbgfdggefebcgggfcbdgfggfdagcgggfgagdcgggbfeddgggcgbfcgggecdgbggggbfaeggggfacdaaaaeebaaacecbaabdbaeaabfdaaaacgabaaadbaafaadcdbaaaddadaaaedabbababafcabadbeaabbbaecabbbebbabbdbadabcaceaabcaeacabcbbeaabcbccbacaaccdacabddaacacbaeacbabcdacbafabacbdbcaaccbbbcacdaabdaceabcaadaabcdadaaceaadabccbadacdbaadbbbdaadbcabcadbcbbbadcbaadaddabcaadebaabaecaacbaecbabbaeccaabaeffegfgafaaaeaafadabaafgfggcfafggegfdagaabcaagcggfegagdgeggeagegefegaggbgggebaacaddbaacbbebaacgaabaafbcababafacbabafbbbabbgaababcbeababcdbbbabebbbbacadadbaddabbbaedbaabafacbabbaaddbbbabagabbadcbbbbaddbabbaeabcbbbcbadbbcdbbabbceaabbbdacbbbbdeaaabcaacbdbccbacbbcegffggbdadbbabdbabadbdfgfgfebeaaaaebeaabbcbebbabbbegedfggbeggffgcbfdgfgdgbfgffcgfbgcdgggfbgeefgefbgefegdgbgfeggedbgfgdegebggdgfcgbggggfcdcaabbebcabcadbcacafaacacbdabcaccbcacadaacccbacdabcbafaabcbbcacbcbbdbabcbcabcbccbcbabcccbbabccgefeggcdadaabcdfdfgfgcdgfgfeecedggfdgcefgedfgcfdffegfcfegedfgcfegffcgcfgcfggdcgdfgfeecgecefggcgfbggefcgffgbgecgffggafcgfgbefgdaaaafbdaafabadacbadadacbbacdadcabadafbaaadbaaaebdbdcaaadbffgfffdcbabacdccffgggdedefeggdeeggdfedefebgggdefgdffedefgecgfdfcfeggedfcffgfedffeggbfdffgagffdfgecfffdfgedgdfdgdfcgffdgdgegbgdgdggbgedgedegdgdgedfgeedgeeegeedgfddegfdgfgfebfdggbgcfgdggdcfgedggdggdcdgggeccgeaaabbdeafgggeeebaabadebdgfggeeccefgggecfgfefeecgfgbfgedbeggfgedgaegggedgffegceebefgfgeebgdggfeedffgcgeeeeefegeeefcgffeeefgbgfeeegfefdeefebfggeefegfbgefcggecgefdbegggefecffffefeddfgfeffeeegdefggedfcegcgefcgegegdfbgegegfebfegfcfefeeggdfcgdeggdggbdeggefdbgegggaeeffaabacbfaacaacfaacacafaacbbafaggeegefbfgfeeffbggegedfcdgdgegfceedgfgfcegggfbfcfeegdgfcgfdcggfcggbgeffcggfcgdfdcggffdfdefgfgbfdffddgffdfggfcdfdgffecffdggdbgffeceegfffeedfeegfeeegdeffeefdefffeeffdeffegageegfegfagdgfegfageffeggedbgffbggefdffddgbggffdffggaffdgfagfffeeebggffeggbeefffaffgefffefafgffffdefdfffgcgceffgbgfedffgddgdeffgddgedffgdfcefffgefgaeffgfagdfffgfebfefgbefgdffgcegdfefgdfddegfgdgdfedfgeagefffgeecgeefggebgedfgggaggagafeegeggafgdegfgagcdggggagfdfgegbdfggcggbegefgdgbfgfbgfgbgegfedgbggdfeegbgggffagcabaaagccfgeeggccgfeffgcfedefggcffgbgegdagffeggdegbggdgdfeeegdgdggbedggdggcfdegeagfcgggebgdegfgebgdgdggecfffdfgeefgdedgfbefeffgfcdgdffgfcfeggbgfcgffcegfdbgffegfdcgbgggfdedfgdgfdeeggbgfebffefgffbeffegffdgdfcgffecfgcgfgacffggfgbegfcgfgebdeggfgfdgbdgfggcfbeggbdfdgfggbgdefeggcebffgggdegdedggdfegbeggdgaegeggefffdbggefgdfaggegdgbdggegfddcggfdcgfcggfegdafgggbdefegggbgddegggeebcggggffecbgggggaebaaaaccgaaaadfcaaabafeaaabeebaaacdfaaaaceccaaadbagaaafdacaabafccaabcdeaaabdcaeaabeebaaacafcbaaccbdcaacdcbcaacfacbaacfbbbaadcacdaadeacbaaeaaceaafbdabaafcadaaagaeaaabaaadgababbgbabadebbabagdaaabbabedabbadafabbbagbabbdafaabdbeababeaabeabfabcbabfbbbbacaabfcacacagaacaeaccacbacebacbagbaacbbbdcacbbbebacbcaafacbcbdbacbccadacccaaeacdbadbacdbcacacdcaadaceeaaaadbcbbcadbccacadbcccaadbgaaaaddabcbaddacbbadecbaaadgbaaaaeaagaaaeadbacaebabccaebacdaaebafaaaecaaaeafaabeaafadaacafbadbaaffggfgdafgcgfggagabacbagaccaaaggecgggagggcgegbaaccdcbaacfbbbaaddadbaadgaababadbebadbafabadbbccbaddabcbaeabaebaedaacbagacbabbabcdcbbabddbbbafbacbbbdcacbbceacabbdacdabbdcbbbbbeabcbbbfbbabbbfbcaabbgaaacbcacdcabcadbcbbcaeabcbcagababcbaagabcbabbebcbbfaabcbdbbbbccbaeabcdadbabceacbabcebcaabcfacaabcgabaabdabdcabdbacdabdbcabcbdcaccabddacabbdgfggefbeacacbbebaaccbebcacabeccbaabfaacacbfbbabbbfgffeegbfggceggbfggcggebfggegeebgfeeffgbgffdfgfbgggcfegcaaaccecaagcaacabaafccabacfacabafcacabbfabcadabbdcadbabdcagbbaacbabbebcbaccadcbadccacbbacbdcbccabccbcdbabcbdcbbacbgfffggccaaceaccbabaeccbcacbcccbbbbccccbbacccdbaacdadabbcdadbbacdbadabcdcaaadcdgcfgggcecbbaacegfgefecfbbaabcfcggfegcfcggggdcfgfdegfcgddfggfcgeeffgecgefgggbcgfcggdgcgffeffecgfgedegcgfgedgecggcgfdgdaaccbcdaacebadabaaagdababbedababcddabcbbcdadbacbdafababdbaaeacdbabbeadbfaabadcaadbbdcaeaabdcbbadadcggeefgddabbbbddadaabdddffggfddgdggdgdeeggdegdefgfdgedegggcefdfeffgcgdffegegddgbgfefgdgcgedggdgddggefdgdgfgeddgedggcgeaaadbceaadabceaadacbeaadbaceacbcabebaacadebadbbaebggdgffeccgfgfgedbbabaedggfgagedggggfaeedggbggeeecfggfeeeefgdgeeeegeffeegfgddfeeggaffgeeggfecfeegggbfeefcfcgggefegcfegefegecfgeffefefeefffgffbeffggeagefgaggdgegcdgefgegdfecggegefdeegegegegeceggaffffeggcgcgeeggefcefeggfddfefabbacbfaeggffffbbacabfbegggcgfbggbfggfbgggaggfcbcaaafcfgeefffcfggcfffddegfgefecfgefffeedfgfefefdgfcgfegeegfcfegffffbffagegffffdddgfgffefcgefffefgfagffegccggffeggbfeffgedgcfffgegaffffgfegcdffgffeddffgfffdcfgacggfgfgcgeegdfgcgegbgfgefggdbfgfbgfgcfgffcgdefgffdffcfgfgdfcefggdegbfgaadaabgaffffffgbegefeggbggffbggcefggfcgcgcgfefgcggceffgdbgfefggdccfggggdfgfdcggdggbgfdgdggdbfggdggeddfgeecggeegefaffgfgefdecgggefdfedggfbdgggdgfcgbggegfdfdcgggfecedgggfedcgffgfegfcfdgffcfggbgffddfgdgfffgbcggffgcbgfgfgcdegegfgeagefggafeegfggbggfceggcedgdgggcfbgegggeecfefggegeageggegecgcggfafgeeggfbgfcfggffdecfggfgbgbfggfgdcdfaaabbdgaaaegbaaaagacdaaagafaaabaaegaabaeagaabcacgaabdcfaaacabcgaacgabcaadaadfaadbbagaaddbbdaaeaaedaaefacaaafadcbaafbdbbaagcadaaagcbbbaagfaaaabaabfeabaaeecabacdbeabaecccabbacedabbbfadabbdabfabbdbcdabbebaeabccbdcabcebcbabcebdaabecadbabfbbbcabfdacaacaabfdacaaeebacabafdacabdebacacdaeacacdeaacaeadcacbabbgacbafcbacbcbcdacbdadcacccacdaccfabbacdagaaacdbdcaaceabaeacedacaacfbadaacgabcaadbaacfadbdbbcadcbebaaddbbadadfacabadfcaabaeaabgaaeaafacaebfbaaaecacdaaeebbabafaacaeafabcadafbabaeafbcadaafcdabaafeabbaafgegfgfagaaadcagacacbagbaccaagbbcabaggbggggaggefgegaggegegfbaadbfbbaadcbebaadcdcbaaddccbaaecdbbabaaefbabacbgbabdbbebabdcaebabfaccbacaadfbacaeeabacfcabbadcfaabaddcbbbaeaddabafabdbbafccbabagcbbabbaaadgbbaccdcbbadcccbbaeafabbbaadfbbbabgbbbbadfabbbaeaebbbbafcbbcccbcbbeacbcbbfdaabbbfeaaabcacebbbcaedbabcbcabebccaafbbccagaabcccaeabcfabbbbdaagabbdbbaebbdbbbeabddadbabdddababdfbaabbdggffgfbeaceaabeadacbbeadbcabebbaccbebebaabfbdaabbfdaabbbgaacacbgdabaabgeegeggbgegeeggbggdgefgbggfgdegcaadcaecaafbcbcabaafdcababedcababgbcabbcbecabbfbbcacaadecacbacecacbbebcacdbcbcadabfacaecadacaedbbacbaabedcbabcafcbadbbdcbafaadcbbabfbcbbcdaccbbdeaacbbeabccbcaagacbcdcbacbddabbcbeabdacbgbbaaccabcbdccafbabccbaddaccbbabeccccbaccccebaaccdaadbccdbacbccdcbabccebacacdabbcccdbaaebcdbabcccdbbbbccdcabadcdcbadacdeababcdggegffceaaacdceabbdacfaeaaacffffefgcffgedggcgefdgfgcgfffcggcggfdfffcgggfbgfcggggfagdaaadebdaacdaddaaeadbdabcabedaccbaddacdadadadaadcdadafaadaecabbdbaaecbdbacaafdbaeacbdbafacadbbcbdadbbdbacdbbgaaadcabebaddgggeefdeabaaddeefgfegdfbaaacdfeffgefdfegggfcdffgdegfdffggcgedfgcegfgdgaaabbdgaaacadgabbaadgfgefgcdgfgfdefdggcffegdggfecfgdggffbfgdgggefcfeaabbafeaaebcaeaagaabeababfaeabagaaeabdcabeaccbbbebbaebaebeacaaebgaaaaeceabaaedffdgfgedgffgeeeeaabcaeebcaaaefababaefdfggdfefefdfgfefgdggcfefgegfgbefgffggaegbaaaaegbggcggegdggaggegfggfdceggbeeggeggdcfgfeggfebgfegggdcegfaaaceafaadbbbfaaebbafabbbbcfadbaacfbaabccfbgffefgfcacabbfccbaabfcgfcgfgfcgfffeffdaaadafdbaabbfeegggagfegedgfefegeeggcfeggecegffaaaabffefggcefffffcffffgdcgffffgdgaggffgeegbgffggdedffgbfeeggfgbggfdffgcfggfcfgdgbeggfgfgecdgfggcfdgegaacdaagaaeabagabcbbagagefgffgbcababgbdabaagbggfdgegcaaadagccaaabgcgbggeggcgffgdegdbaaabgdfgdcgggecgdegggedegeeggefcegeggegefgcegfdcgegfgfgeeefdgfgfggcbggddggcfggdfgbgeggdgfdeeggegdbgfggffeecfggffgdfbgggcdfgdgggcfgcegggdfddfgggfbegdgggfddcgggggedfbaaabgcdaaacdgbaaacgeaaabccedaabcfdbaabdafdaabdgacaabebfbaabegabaabffabaaceafbaadbcagaadccbeaaddaceaaddebbaaeaadfaaebbecaaecebbaaeebdaaaefcabaafabddaafdbcbaagbacdaagddaaabaacefabaaebgababddeabadcceabadgcaabaeeadabafabfabafcdbabagbbdabagdacabbbfdbabbceccabbfcbcabcaadgabcbgbbabdabbgabdadfaabdbcfaabdbedaabdbfcaabddbaeabdgaacabeacafabecebaabgadcaabgbadbacaaffaacabebeacacfcbacbafeaacbbdebacbcebcacbfccaaccacecacccaagacccbcdaccdadcaccddcaaccebdaacdabecacdcabeaceadadacebbbdaceecaaadabcddadaeadcadaeebaadbddacadbfdaaadcbbafadcdbbcadcfacaadecacbadfbadaaeabedaaebadbdaebbcccaecacccaecbebaaedcacbafaadeaafacacdafbcccaafcaaafafddaabafeaadaafeabbbagabacdagacdabagbaaafagbabaeagdacabbaabeagbaacdgabaaeacfbaaefbbbabceaebabdadebabdebcbacafccbacbcbfbacbdafbacdddabaceacdbadaeeabadbaedbaecadcbaecfaabafaafbbafcbcbbagaaafbagcaadbbaagaebbaeebbbbafbeabbbaebebbbbacgbbbcdbdbbbcfbbbbbedcabbbgabcbbcacagbbcbcdcbbcbgbabbdeabcbbdgababbeacaebbecaaebcaacbgbcaadgabcabeaebcacgabbcafccabcbafadbcbafcbbcbbcafbcbdbdbbccaaedbccadccbccbddabceacadbcfabcbbcfbcbabdaadbebdacabfbdacddabdadcadbdafbcabdbcbaebdcaaagbdcadcbbdcbcadbdccaeabdccbdabddabdbbddcbcabddfaaabdgabbabeaabgabeaacebbeaadaebeaagabbeacacdbeadabdbeaebbbbefaaacbfaaafbbfadaadbfeffgggbfffgggebfgffggebgadabbbgbabdabgdaabbcaaaaffcabagadcabbbdecabcafccabcbfbcabdfabcabebeacabecadcadbcbdcadecabcaeaaeccaeaeaccaedabccafadaccagbbcacbaagdacbabeeacbbbbbfcbbbbcecbcbcbdcbcbddacbccadccbddabccbeaabecbeabaecbeeaabcbgaacbccaabbgccaccaeccadaafccbabagccbbbcdccbcfaaccbeabccccacbdcccebabcccfaabccdacdaccdadcaccfacbacdaaeadcdabcaecdabdadcdaccdacdacebacdbaagacdbbeabcdbcbdacdcabeacdccabccdddabacdddbaacdfaaaccdgabaacdgfgggeceaebbacebbeaacebcdaacecaaaececaadbcecacbbceccaaccecdabacfacbaccgbacbacgdgegfgcgffgfdgdaabgacdaacgabdabbafcdabcbebdabfbacdacacafdacacdcdacbdaddacdaaedadbadcdadbaebdadeacadaeacaddaedcaadbaaeaedbacbbedbbadccdbbcbbddbbcebadbbdeaadbccaeadbccbdadbeaaeadcaaebcdcacacddcacbaedcaccbcdcbbabedcbcdbadcbdbbbdccccbadccdabbdcdacacddadaadddbbaaeddbbaccddbbcbbddbcbcaddbcdaadeaccbadeaeabadebbbacdeggggbgdfabbacdfbcaabdfgfggcfdgcgeggfdgegedggdggdgcggdggeefffdggfggdddggggbgeeabebcaeacbacdeacbcdaeacdbbbeaddaaceaeaadbeafaabcebabdadebacafaebaccdaebbadbcebcacbcecabebaecafaabecbaadcecbaafaecbbcbbecbbeaaecbeabaedfaaaaeeaaaeaeebacbaeedabaaeeffgcggefacaabefbbbaaefffdgegefggdfefegeedgfgegegedgfegfefdgffaadbadfaadccafacacadfacbdabfaccacbfaceabafadadabfaebbabfbaadadfbabaaffbaddaafbagaaafbbbeaafbbdaacfbcdaabfbeaacafbgfgegffcaaadcfcabaeafcebaaafcfgeeggfdababcfebgfggffecbaaafeefeeggffcgffgeffedggdgfffgegdefgfdfggcfggcegdgfggffeedfgggbffefgggeeedfgggfebfgabaabegabbaeagabbbbcgacabbcgacabdagaggffeggbabccagbaeaabgbdababgcaaaccgcggfdgegdbcaaagdeggdffgecggggcgedcgggfgefcfggegfcfdggfgfdfggcfgfegdgeegffffecggffgfgfagfgedfefgfgfgcfdgfggbfgdggddeggeggdggdgcggffegfbggfgdgagggfgefagggfgegcdgggbgegdgggfcdffgggfgadgggggfadgaaaafgcaaabdefaaacefcaaaeebeaaaeefaaabbdeeaabbgebaabcdgbaabceddaabcgaeaabddecaabedafaabfcbeaacafceaaccdagaaccdddaacdcecaacddebaacfagaaacgacdaacgbdbaadcbedaadcbfcaadddeaaadeaecaadfcdaaadffaaaaebbedaaebbfcaaedaceaaedddaaaeedacaaeedcaaafbacfaagbgaaaagddababaaddgababbffababfbfabagbcdabagbebabagdcbabagfababcbbcgabcbdddabcddeaabdbbcfabddagaabddcccabddgaaabdfaaeabdfcbbabeaadfabeaeeaabebeadabebebcabebfbbabfaeadabfbcdbacabdcfacabgeaacadcfbacaddcdacadgbbacagbccacbecccaccadagaccbbfcacccagbaccccfaaccdaecacdbacfacdgcaaacebbfaacebceaacfaaddacfdbacacffaabacgafaaadaaefbadabbcgadaccgaadadccdadadddbadadeadadafdcaadbbadfadbbddcadbbfbcadbdcaeadbeaafadcacddadcbabgadcbccdadcbgabaddcebaadecaeaadecbdaadeccacadgbaadaeabagcaeabddcaeacacfaeaecbcaeccaebaedaaceaedacaeaedaebbaedbcdaaedcaccaeeaadcaeecacbaefbaadaegaaadafabbceafabedaafacbbeafaedabafafdaaafagbbaafbbbfaafbbdbcafbcbeaafcaaddafcabcdafcccbbafccccaafdadcaafdbaaeafeadbaaffadaaafgcaaaagbadadagbbbaeagbbbbdagbbebaagbdbbbagcadcaagccdaaagcdabbbaacbdgbaadeebbaaedebbaafdbdbaafgabbabaafgbabadgcbabeabgbabecfababgaebbacfafabacgaaebadaafebadeadcbaeaedbbaebafcbaebdbdbaedcbcbafafbbbafecbabagadbcbagbfaabbaacdgbbaceebbbaeebcbbafdadbbbcbdebbbcfcbbbbddbdbbbgabdbbcbadfbbcbcecbbdbdaebbdebadbbedcacbbfbafabcabbdfbcabdagbcabedcbcadbecbcbacbgbcbdbfabcbfaaebcbfadbbcbfccabccccbdbccceacbccdafabccgbbabcdaafcbcdcebabcdeadabceacdbbceagaabcebaebbcecbadbcgaccabcgcabbbdadafbbdadbdcbdbaacgbdbacecbdbbbagbdbbgabbdcabfbbdcadccbdcadeabdcafcabdcdaccbdcdeaabdcecbabdcfaacbddbabebdfabcbbeaeabdbebbdadbecbcdabecdbacbedbaaebegbababegbbaabfagaabbfbaaddbfbabbebfbcbcbbfbdcbabfbfababfcbbcbbfcbcbbbfcdacabgabdcabgaebbabgbaafabgbbcacbgbdbbabgcabadbgdaacbbgdbcaacaaaagfcaaacgdcaabceecaagfaacabagdbcabbcedcabbedccabbfaecabceeacabcgaccacacedcacaeafcacbdcdcaccafccaccfaccaccfcacacfabdcadddbbcadeaaecaebacecaecebacafbaafcafbfaacafceaacafdabccbabdcecbaccgacbacgcacbadagbcbadcafcbadcdccbaeacecbaebcdcbbcadecbbcedacbbdaeccbbdcaecbccaagcbccfbacbcdadccbdbagacbdecbacbebabecbebadccbfabaecbfabdbcbgbaadccaceadccadbcdccadgaaccagcbaccbabbgccbddaccccaadecccbbfacccdccacccebcacccecbaccdcbdaccdccbbccdgaaaccebaaeccedbabccfdbaacdcabafcddadbbcdebcbacdfcaabceaaacfceaaebcceabdcbceadaaecebbdaccebcbbcceccabccedbbcacedbdaaceecbaacfaabcdcfaaecacfacbcbcfbaeabcfbbeaacfccbabcgbbbcacgbcaaccgbccaacgcacabcgcbbabcgccbaadaaedcbdaafdcadabaadgdabagbcdabgacbdacbagbdacccccdacdbeadacebcbdacgbabdadbdcbdaecccadafaafadagcbbadbacccddbbbbbfdbbccaedbcagabdbdbaafdbdbaebdbefaaadbfdaabdcaafcbdcabdeadcafadadcbdeaadcdbbdaddabbebddacacdddadcbbddagaabddcbbdadebbbdadebdabbdebdbabdedaacbdedbacadfaabccdfaabdbdfaadcadfabbaddfcdaaadgbcabaeaagcabeabaeaeeacaacfeacdaeaeadbcbceaebeaaeagabbbebacbcdebaedabebafadaebbfacaebcadbcebdacdaebdcbbbebdeaabecaabgaecacbbdecadaaeecbbebaecbdbacecbeacaecdcbabecdeaaaedbaeabedbbbbcedbccbaedcaadbeddadaaeeacadaeeacdaaeebcaacefaaaccefbadaaefbbacaefdffggfefdfggegefgfefffefggdfegefggeeffegaabbbegfeggfdeggedgffegggffdefaabbgafaabfcafacebbafacfabafadbcacfaeaabdfaebabcfbabcccfbafacafbbcabdfbbcccafbbcdbafbbdcabfbbeaacfbcaaaffbeabcafbeacbafcaaceafcabaaffcacbbcfcbcaadfccabcbfccadbafcdacbafcggeggefcggfgeffdbabdafdbbcbaffecgfggfffeegegffgffdegffgfffeeffggfbfgfgegeegefggedefgfggfbfgffggfggebgabdacbgacabccgaceabagbacbadgbbdaacgbegfgfggbfbaaagcbbdaagdabbacgdbbcaagddbaaagdfggefegegffggbgeggcggdgfefbggggfffegdfgffgdgcggfgegaggggbefggfggdfcfggggdggbgfggedeggeggfeegeeggfegecggggbgeeggggfffaggggfgfbeaaabggbaaaddfdaaaedfcaaaeffaaabagfcaabdbefaabdccgaaccegaaaccgaeaacdcfcaacddddaacecagaacedbeaacedcdaaceebdaacfdbdaacgbcdaacgfbaaadaecfaadbgbdaadbgccaadccbgaadcfeaaadcgcbaadddbeaaddedbaadeeadaadfabfaaebbdfaaeeebbaaeegaaaaefebaaafabcgaafbagcaafdbafaafeacdaagbbgaaagdbccabaacgfabaaffdabadgdbabaedfbabaefbdabaefdbabafgacabagcfaabbbgebabbddceabbefcbabbegacabbgdbcabcaecfabcafagabcccbgabcdcfbabcdeccabcdfadabceddbabcfceaabcgbbdabdafebabddaedabdebafabeaafeabeccebabeccfaabedbafabedgaaabefabdabfabgbabgaafcabgbecaabgcbccabgccbcabgfaacacabeedacaddgaacaeeccacagabfacbaafgacbafecacbcaefacbgebaacdadgaacdbaeeacdbcgaacdbedbacddaagacddbafacdeabeacdefaaaceabbgaceecacacfaedaacfbabfacfbcaeacfeabcacgaddaadadbdeadaddafadaddbeadadfbcadadgbbadaeacfadaebagadaedeaadaeecbadafceaadafddaadbaccgadbcbdeadbdccdadbfcdaadcaefaadcbdafadcdaceaddabdeaddaedbadecbdbadefcaaadgadcaaeaaebfaeadbddaeaeaceaeaeceaaebbcecaebbdfaaebdeacaebfcbbaecaacgaeceabdaececcaaedcdcaaeeaaddaefbaccaegadbaafaadagafabfbcafabfdaafaeabeafbacbfafbadebafbcaddafbdbdbafcbcaeafceadaafcebacafdabcdafdbabeafeaacdafeacdaafeadacagabbecagadeabagadfaaageabcbbaaadffbaabaggbaabgagbaaeaefbaaedagbaafeeabaafgcababacegbabaegcbabafcfbabdccfbabedfabacagbebacbagebaccfeabacddebbadbaefbadcbfcbaeadecbaebgbbbaecfcabaeddadbaedfbabaeeabebaefadbbafbdeabafcabfbagabfbbagbecabagcdacbbabecfbbacgaebbadaefbbaddbfbbafbgabbagaddbbbbgccbbdadecbbdcecbbbdfabdbbeccccbbecebbbbedbeabbfadaebbfbbafbbfcbdbbbfdcacbbfebacbbgabcdbbgacaebbgccacbcaafagbcaeagbbcbbagdbcbcbedbcbdccdbcbefbabccabeebccadecbccfbdabcdacecbcdgabbbceaddbbceafbbbcedaaebcedaccbcfaafbbcgdaacbdaabgdbdaaecebdaagdbbdadgbabdaegaabdafadcbdagbdabdbafaebdbbbgbbdbcadebdbebccbdbeebabdcacfbbdcbfcabdccbafbdddaaebdddbdabdeacbdbdfacdabdfdacabdgbacbbdgcbbabeabgcabeacdccbeaebeabebacddbebbcebbebbddbbebebcbbebecbbbebfbcabecdbadbeceacbbedbbccbedcaeabeeeababefaccabegbbbabfabbbfbfacbafbfbbeacbfbbecabfbdaeabfbddbabfdbcacbfebadabfebbcabgaadccbgabcccbgdbabccaaedcdcabcbcgcabccfccabcdfbcabddcdcabeabgcabfddacacadcfcacbcgbcacbdddcacfabecacgabdcadabdfcadacgbcadafcccadcfcacadddbccadecadcaebadecaefbaccafacebcbabfcdcbadeeacbaecfacbagbdbcbbabfecbbcgaccbbeafbcbbfbaecbbfbcccbbfbeacbcbadfcbcfeaacbdbcdccbdcbebcbeadbdcbeccadcbeeadacbfaaddcbfbbcccbfbeabcbfeacacbgaabecbgacdacbgbbbccbgcbbbccaagccccadacfccaeecaccafaebccafcbcccbbgcaccbcgbaccbdebbccbedcaccbfadbccbfcbbcccafbcccccbfaccdaabgccdacebccdcbccccddadbccdfacacceaebbccfadacccfcacbccgbbbbcdaddcbcdafbdacdafcaccdbbadecdbcbcdcdbcdbccdcbcdbcddcdbacddeabbcddebabcdecabccdfaccacdgaabccdgbbabceaacbfceacaagceacfbacecacaececccbbcedbbbccedcbaccefacabcfaaadecfabaeccfabddacfbabdccfcaebacfcdbabcfeaaadcfebbbacgaaebbcgafabacgbbbdacgbcbaccgcbbbbcgeababdaaaagfdaadcdddaagbccdaagcaddaagdbbdabafafdabdbdddabfebadacacgbdaceeabdacfcacdacgadadadacagdadafcbdadbbdddadbccddadbedadaddcaddaeacebdafadaddafdbcadafdcbadafebabdagcacbdbaafebdbacbgbdbaccgadbadebcdbaeacedbbbeaedbbdaagdbbddaddbbeccbdbcaacgdbcbbfbdbcccdbdbcdadcdbcdccbdbcecacdbdbdbcdbdcaafdbeabbedbeabdcdbeabebdbebafadbeeacadbfaebadcabgcadcadbebdcbbddbdcbbecbdcbcagadcbccaedcbddcadccaacfdcdcbbcdcgbbbaddacaecddaccbdddbdaccddbddbaddbeaadddcdacbdddcabcdeafabbdebddaadebeacadecacaddedabcbdedbcbadfbcbbbdfcbacbdfdaaaddfdadaadgadabbdgafaaadgbeaaadgfgfdggeaaadedeaaagaeeaabdddeaabefaeabcbeceabcdaeeabcdeaeabdebbeabfaeaeacaebdeaccfabeadabbfeaedabceaeeaaceaeeacaeaefabaeafcdaaeagcbabebabbedebaccdcebadbfaebaeabeebaedcaebbbcebebbcfbaebbgabbebcacdcebccdbbebcfbbaebdagaaebdbdbbebdcbadebeaaebebebaeaecaacagecabcdcecafcbaecbdadbecbfaacecbgaabecbgabaeccabcdecddacaedaagbaedabcccedbbaafedbbcadedbeaacedcabeaedcebaaedebcaaeeacbdaeeaccaceebaadceebbbadefaacbcefacbacefadcaaefafaaaefbbbbbefbbbcaefcaadaeffgggdfegaaaeaegdgfffgegfeggdgegfgffefeggfeefgfaaaebefaacfacfaafabdfabddcafabfbcafacdabdfaddabcfafbdaafbaaafdfbacdbcfbbaabgfbbaedafbbbddafbcacaefbcbdacfbdacadfbfbabbfcfaaacfdcabbcfdcbadafeaeabafecbcaafedbaabffgegeffffggffdffgaaadafgdgdggfgaaabbggaaadfagaacfabgaadaafgaadaebgaafbacgaagbbagabbfbagabcbccgabdaeagabeabcgacbdcagadabdbgadcbcagaeaaccgaebbcagafdaaagagaaacgbabbafgbabcccgbabdbcgbaeabcgbaeacbgbceaabgbdccaagbddaabgbebacagcaaaaggcaabcdgcaeacagcbaebagcbccbagccaadbgcdaabcgcdabcagcdcabagceaaacgceaabbgcfgfgeggdacaadgdggffdggebbacagecababgedggfeggfdgggcggfffggcfgfgdfegfgfgdggfdgfgeegfegfgfggaggfggcgfegfggddfgggceggffggdgefffggeggdgdggffbgfgggffedfgggfgfdefgggbgdgggggddegggggeefefgggfcfgeaaabggcaaadcffaaagcfcaabdcefaabefdcaabfeafaabgacgaabgbbgaaccedeaacdcgcaacfafdaacfcfbaadaedfaadeacgaadedbeaadfdbdaadgabfaaebcdfaaebfbeaaefebbaaeffabaafabdgaafbcfcaafdbceaaffadcaaffbeaaagbfdaaagddbcabaagdfababefeabacgddabbddfcabbdeecabbdffaabcagceabcaggaabccdcfabcdeebabcfaedabdagcdabdbeagabdeadeabebadgabebefaabeceeaabecfadabeddccabfabcgabfbagcabfbdfaabfcdaeabfdbbeabfgadaabgaafdabgabfcabgfaadacabdefacacebgacacgbeacaddgbacafbdeacafdfaacbaddgacbaeeeacbcaegacbdadgacbfecbacbfgbaacccdfbaccdagcaccgbccacdabdgacdbagdacdcbedacddcafacdfacdacdfcbcacdgaaeacdgbbcacdgccaaceadceaceccebacedaagaceeaebacefaccacefcacacfagcaacfbbgaacfcaagacfcbfaacfcfabacfebadacfgcaaacgbbfaacgbdcbacgbddaacgbgaaacgdaaeacggabaadaagbfadaagddadacefbadaddecadaedfaadbbgccadbcfaeadbcgbcadbdbdeadbdbedadbfceaadcadfcadcaffaadcbccfadcbdddadccbbgadccbgbadcdbfbadcdeadadcdebcadcebafadcebfaadcfebaaddbcagaddcadeadddcaeadddceaadebbagadebbddadebcbeadedbaeadfaddbadfdeaaadgaaagadgabbeadgabfaadgacccadgadbcadgbcdaaeabeddaeaebgaaeagcdaaebadgbaebdcfaaebdgabaebedadaebfbccaeccfcaaedbdeaaedgbabaeebafbaeebbfaaeecdacaeefbabaefbfaaaegaccbafaaceeafadecbafafaebafbdbfaafbdfbaafcaadfafdaabgafdacafafdadccafecbadafeceaaaffacbcaffbbdaagacgbaagafaaeagafadbagbbbgaagbdfaaagcadccagcdeaaagdagaaagdbabeagdbafaagebdbaagecbbbagfbacbagfeaaaaggbacabaaafgdbaacecgbaadgdcbaaegdbbaaegeabaagadfbaaggbbbabddcfbabdegababebdfbabeccfbabfcecbabfedbbabgecbbacdagdbacegcabacfbagbacfcbebacgaddbacgcaebadbbefbadcfdbbadddafbadebagbaebdddbaedbfbbaeddbdbaedfcabafbddcbagcaagbbacbffbbaebdfbbagbecbbbbbegbbbccfdbbbcegabbbdefabbbeccebbbfbecbbbfdeabbcacfebbcadcgbbcaeedbbcdaeebbcddcdbbcfagabbcgacdbbcgdacbbdbccfbbdbeebbbdddeabbdefabbbdgcacbbecfbbbbecgbabbedcccbbfbeadbbfcbdcbbfdbdbbbgafbbbbgeaadbcaaecgbcaagcebcadbdfbcadfbdbcaefcbbcaegacbcbacgdbcbadgcbcbafecbcbcdcebcbdgcabcbedbdbccbdagbccdbcebccfdacbccgbcbbcddcccbcdeadcbcdeaebbcdeccbbcdfcacbcebedabcfaeadbcfcccbbcfcdbbbcfdcbbbcfecbabcfgaabbcgaddabdaabegbdaaddfbdabdfcbdacafebdadbdebdaefacbdagadcbdbaaffbdbadcfbdbafdcbdbgcacbdbgdbabdcaefabdceadcbdcfeaabdcgbcabddadafbddadebbddaedbbddcfbabddddbbbdecdbbbdgeababeaabfebeadbfbbeafebabebbeaebebeeabbecbagbbeceabdbedabbfbedacebbedagbabedcaafbeeacccbeebaebbefabdbbefbdbabfabdebbfacbecbfaccfabfacdaebfaeccbbfaedacbfafcbbbfagbacbfbgcaabfdaabfbfdabebbfdbbaebffbabcbfgabbbbgbcadcbgdbaeabgdbbbcbgddabbbgebcabbgfadaacaaagcfcaabgddcaaebeecaaefdbcabebbgcabeecccabfdeacacbaegcacegbacadcaeecadccgacadcdebcadcfbccaddafccaddbcecaeagdacaebbgbcaecbagcaecdbdcaedbafcaeeaafcaefadbcafeadbcaffcbacagbceacbabdfdcbadeafcbafbcecbafdeacbagbfacbbccgbcbbdfdacbbecbecbbegabcbbfacecbcdbeccbcdeadcbdagbccbdbgaccbdcgbacbeaceccbedadccbedeabcbegabbcbfadaecbfbdcbcbfcebacbfebbbcbfgabacbgbdbbccaabffccaacgdccaafceccadcbfccafdadccbagccccbdbagccbfcadccbgaaecccebccccceeabcccgbbbccdaacgccdbfbbccdcdcbccdeabdccebcbdccecbbdccfaaeccdabccfcdabdeccdaccbfcdacdcdcdadbddcdaecaecdaecbdcdafebacdbadddcdbbfadcdbcbddcdbcfcacdcaddccdcaeaecdcbdbdcdccaddcdcccdbcdceabdcdcfcabcddcdaccdddcaccddecbacddfcaacddgaabcdeacdbcdfadbbcdgcabbceaacfcceabacgceabbbgceabeaeceacadeceagdaacebabcfcebafbccebbaedcebdeabcecaedacecbaddcecbcbdcedaceacedbdbbcedcaeaceeabeaceeaeabceggfgggcfaaacgcfacabfcfadeabcfagbabcfbadbdcfcabafcfcafbacfcgaaacfdcbaccfdebaacfeaeaacffabbbcgaaaedcgaacdccgaacfacgababfcgabaddcgaceabcgaeacbcgbadadcgbbadccgcbdabcgdadbadaabafgdaadefadabaafgdabaffbdabbdeddaccafddaccddcdacdbecdacfdbbdadbfcbdadcbfbdaddadddadfbcbdaeagacdaecbfadaeedabdaegcaadafacebdafbabfdafbbafdafcaafdafcbdbdagabafdagbfaadagcadbdagcaeadagccacdbaacgddbaadgcdbabdgbdbacbcgdbadaeedbafaagdbafcdbdbbcdebdbbecaedbcebccdbdacagdbdaddcdbdbbbfdbdcbafdbeabfbdbedcbbdbegaabdbfafbadbgabbddcadbgadcadddbdcafcbcdcbbfaddcbcgabdcbfbcbdccbcafdcccbebdcceaaedcceadbdcdbdaddcdfbabdceadaddceeacadcegaaadcfcaadddadceaddagbcaddcaagbddcbcdbddceacbdddaaagdddaeacdddbccbdddebbaddeadbbddebaeaddgadaadeaadbedeacdbcdeaeaccdeaebdadeafacbdebabagdebbbdcdeccbcbdeceaacdedaabedeedbaadefcaabdegaabbdfcdbabdgaabafdgaaddadgabfaadgbaebadgbcbbbdgcbcabdgeababdgefgggfeaacgbceabcbcfeabcedbeabfbbdeabgcaceacaeafeacagcbeacfbcbeadacddeadafbceadcabfeadcdadeaeafaceaebbcdeaeddabeagaaafeagaafaeagafaaeagbaaeebabdagebadbddebaecbdebafaebebbaecdebbbfdaebbeebaebbfbcbebbgacbebbgdaaebcbcdcebcdeabebdfaacebeabbeebeadcbebeagaaebfcaadecacacfecacbgaecacgabecbdadceccdaeaeccebbbecddacbecdeacaeceacadecebaaeecebdabedaaeeaedabebcedaeccaedagabbedbadbdedbafcaedbbagaedbdeaaedbfaacedccbbcedcdcabedeccaaeeaacafeeabbbeeebaagaeebccbbeecafaaeedaccaeeecaabefaacdbefcaaaeefccbabegaaacdegaadcaegadbabegbbacbfaaaccgfaabbfdfaabdfbfaafabefaafccbfabadfbfabccfafabgdaafaccaagfaceeaafadedaafaeaacefaebdacfaebeabfaecccafbacbfbfbaebbdfbafaeafbbacbffbbdcadfbbecacfbcacbefbcbcdbfbcbceafbdbacdfbfaeaafcbbaddfcbcbeafcbeaadfccadbcfcdfaaafcgacaafdaabfbfdaaccdfdafabbfdbbadcfdcdabbfdebbbafebadbbffbaadbffbeaaafgaaccafgfgdgeggaabccegaabdbegaacecbgaaebdbgaaeccbgaafabdgabaafdgabdadcgacacafgacbfabgadcaccgaebaaegaefaaagafacbbgbadcdagbafadagbbbcaegbbcbbdgbcaceagbcbbeagbcbcdagbcbfaagbccaccgbdaccbgbeaeaagbecacagbedbaagcaaeadgcabbbegcaecbagcbfaabgccabaegcccdaagcdabadgdaaecagdabeabgdacadbgdbaabegdbccbagdbebaagdeabbagdgcgggggeabdbagebdabagfaaabdgfgcgeggggcgdggggggdefgfgggffbggggggfgecaaaaeggaaaccggaaaffbfaabagdgaabbgfdaabdaggaabegfaaabfaffaabfdedaacdeedaacfcdeaacgdebaadagdeaadccfeaadcegbaaddcfdaaddfbeaadggabaaeafgbaaebcefaaececeaaeddbfaaefbbfaafbegaaafdgbbaafebecaagadedaagceeaaagdfacaagebbeaageecaaagfbbdaagfcadaaggaaeabaafgeababffeabafcgcabagdagabaggbcabbdcefabcegbcabcfaeeabcfcagabcffdaabcgadeabdaggaabdbcdgabdfbecabdfbfbabdfdaeabdfddbabdgcbdabdgcccabeacdgabebeecabeegababefaddabegadcabegafaabfabefabfabgdabfadbgabfdccdabffbaeabggaadabggbacacaddcgacadddfacadeedacafdddacaffbdacagafdacagbcfacbbcegacbbffcacbcdfdacbcgebacbfeeaaccccgcacccfebacdbceeacdbeagacdfcdbacdgadcaceaegaaceagccacebdddacedbagaceddccaceecdbacefbbdacfeacdacffbbcacgbcfaacgdacdadaaedgadacgfaadadceeadadfbeadaeccfadafddcadaffbcadbecfbadbeddcadbfccdadbfcebadbgcaeadcbeecadcbfbeadcccbgaddedadaddgaeaadeaeebadebfcbadecgbaadfbacfadfbcebadfbfcaadgaacfadgaadeadgabagadgcbbdadgfbabaeacbgdaeacceeaeaccfdaeacfcdaeaebcfaeaecceaeaegacaeagagaaebafgaaebcefaaebdcecaebgdacaebgdcaaeccbgbaecccagaecdgabaececccaecegaaaedabcgaedbdcdaeeedabaefbceaaefdabdaegaeacaegbebaaegdaadaegdadaaegecaaafacaefafaebecafaebgaafbcbfcafbdacfafbddeaafbdecbafbeabfafcbagcafcceadafcfbadafdebbcafdfabcafedbcbafeebacaffaagaaffcbdaaffcdabaffddaaafgaaebafgaebaagaacdfagbcacfagbccafagbccebagcbafcagcbfacagdaafcagdafcaagfbbdaaggdababaacegdbaaddfebaafdcfbaafebfbabdgafbabfccfbacaggbbacfcbfbacgbddbadaegcbadbdfdbadbgdcbadcfebbaddedcbadgdcbbaeaagfbaebeddbaeebfbbafaefbbafcbcfbaffacdbagadbfbagbafdbagcbbfbagcbcebagcbecbagcdeabagddbcbagdgaabbabegdbbafbgcbbagdfabbbafcgbbbdbdgbbbdfbebbbfdafbbccbgdbbccdfcbbccebfbbcdfaebbcebbgbbcecfbbbcfadebbdcedcbbeceaebbfbfbcbbgbbagbbgdbaebbgfbbbbcabfbgbcaeeafbcafdcdbcbafbgbcbcceebcbcgdbbcbgdbcbccagbebccbdgbbcccadgbcdbcedbcdebbebcdfbccbceddbcbcfcaagbcgabcebcgacfabcgbagabdabbgebdabcefbdabcgdbdabgfabdadbdfbdafagbbdbcedcbdbdfdabdbebecbdbecfabdbedaebdbfaagbdcaagebdcbbdfbdcbfbdbdccbfcbdcegaabdcffaabdcgbadbddcecbbddedcabdeaafdbdeacfbbdeagbbbdeagcabdfafacbdfbbafbdfccdabdfeaadbdgadadbdgdacbbeaagcdbeabceebeabfebbeaedeabeafabfbeafceabebfbaebebgbdabecbdcdbeceabebececadbececcbbecfdbabedabcfbedaeeabedbcbebedccdbbedddcabeecaafbefacbdbeffbaabegcbbbbfabagdbfaeceabfbbgacbfbcadebfbccebbfbfbbcbfcacfbbfcdcadbfcecacbfebbbdbfebbccbfecdbabffbaaebgaadbfbgabcddbgabfadbgafbdabgbabdebgbcafbbgbebdabgcaafcbgdbabebgdcdbabgebaaebgecaadbggacabcaaagdfcaabgdecaadfddcaaecdfcaafdagcabafeecabbeeecabbffccabcdfdcabdeagcabdgbdcabeafecabeecdcabefdbcacbbgecacbfbfcacccgccacefbccacgacecacgaeccadabffcaddbedcaddedbcadeddbcadfcdbcaegbcbcafacfccafcbagcafdagacaffeaacagbdeacagbgabcagdaafcagedbacagfbbbcbadaegcbadeddcbafbcfcbagecbcbbdcgbcbbebcfcbbfaedcbbfdaecbcacdgcbcagcdcbccdagcbcdbfccbdbaefcbdceeacbdddbdcbebcgacbfcaagcbfdccbcbffcabcbgaafccbgaeadcbgagbacbgcbbdcbgdaaecbgdbdaccaaddgccabgcdccacddeccacgeaccadfbdccbccgbccbfaagccbfaceccbfbbecccbedcccceagaccdcedaccddcccccdeadccceaacgcceafadccebabgccfaddbccfadeaccfbagaccfdadbccgaaddccgacaeccgbbdbccgcaccccgeaaccdaaecfcdacbeecdagdcacdbbfbdcdcdaeccdddcdacddfcabcddgacacdeabeccdeaccdcdebbebcdecbdbcdfabbecdfdcabcdgcaadcdgccbaceaabfeceacafdceacdcdceaecdbcebbdfacebeadccecaagccecagbbcecdcadcecdfaacedaaedceddacccedeaadcedfaaccefbdbacegbaadcegcbbacfaaafecfacabgcfaeadccfbbafccfbfaadcfccbcccfcdeaacfcebaccfcgaabcfdgaaacfebacccffdaabcgafcbacgbabcecgbabgacgbacafcgbbcaecgbbecacgbeabccgccbdacgdabaecgdacadcgdcdaacgddcaacgfcaabdaaadffdaadcfddabafgbdabebdedabgcaedacbbgddacddafdadaeagdadcbdedadcdfadaddcdcdaddcebdadgcbbdadgeaadaeabcgdaeadgadaebafddaebbdedaebeccdaecebcdaedcdbdaeddcbdafacagdafbfcadagaagbdagaedadagcdacdbaccdfdbacffadbaeccedbafccddbbbfebdbbcdagdbbegabdbcabgddbcagdbdbccadfdbcdeaddbceagadbceceadbcgaaedbcgcbbdbdbbeddbdbbgbdbdccafdbdcebcdbecbdcdbecceadbececadbefabcdbfabecdbfafbbdbfdbdadbgdcbadcacaefdcadbdedcaddafdcbacfddcbeabfdcbfaafdcbfebadcbffaadccacdedcccagbdccfaccdcdadbedcddaebdcebacedcebafbdcfcbbcdcfcbcbdcfcbdadcfdbacdcffabadcgbaeaddacbbgddafadcddafccbddafdacddbadgaddbaedcddbbddcddbccbeddbgabcddcaebdddcfadadddaebcdddcbaeddfaaafddgabbcdeabgcadeaeafadeagbbbdebacdddebcbfadebdcdadecbagadecbceadecddbadedaddadfabebcdfacecadfadbccdfaeadbdfaedabdfbafbbdfbbafbdfbbbebdfbbfabdfbcabedfbdeaadfbfaacdfccabddfdbdabdffadaadgaacafdgbcbaddgbcbcbdgcbeaadgcdbabdgedaaaeaabfgaeaafbageaafcafeaagabfeababegeabaecfeabbbefeabddbeeabgdaceacbbdfeacbcdeeacdacfeacfdbbeadbddceadcccdeadefaaeaebcafeaedeabeaeeaeaeafbeaceagbafaebabcgcebadfbcebbgadbebcaadgebcagbcebcbedbebddcbcebdeaeaebfaeacebfafbaebfbccbebfbdbbebgcbacebgeaabecaaceeecabaefecabedcecadfbbecaedcbecagaaeecbfabdeccaaeeeccadfaeccbgabeccfcabeceabbeececbdaecfbaccecfcadaedaaadgedaabdfedabadfedacagbedadceaedbaafdedbacfbedbbaededbbdccedbcbafedbdbdbedbfdaaedcacbeedcadaeedcbabfedcbafbedcbdadeddabcdeddcacceddcdabedddabcedeebaaedfcabbedgaacbeeaabcfeeabdaeeeacecaeeaebcbeeaeeaaeeeaaeaefaacfaefabgaaefadcbbefbabebefbbacdefbcbdaefdaabdefeacabeffggfgfefgabaaegaacdbegabadcegabbdbegbbbcbegbccabegdbbabeggfgegfeggggcggfaaadgcfaabdbgfaabegafaabgbdfaaefcafabdbddfabeafbfacbfdafaccfbbfacfaaefacfccafadadebfadccaefaecbaefaedeaafafdbcafbabdcefbaeaecfbaecccfbbbdcdfbbbddcfbbbgcafbbcbcefbbgdaafbceaeafbcfabcfbcfbacfbcgbabfbdcafafbeaaddfbecccafbfabccfbfdbbafcabgcafcaccbefcadaddfcaebeafcafaccfcafcacfcbbadefcbeabdfcbfabcfccadccfccaddbfccbacefccecabfcdacccfcdadadfcddbacfcebaccfcebdabfcfbaadfcfcaacfcfdbaafdabgbafdbbbbefdcadcbfdcbabefddabaefdddacafdfcabafeaabagfeabcaefeacafafeacdbbfeadabdfeaddabfebabaffebbbaefecbbdafedbaadfegabaaffaacbdffdggggffgacbbbfgaccabfgbaaaefgbabcbfgcbaacfgccbaagaacdafgaaddeagabadfbgabagdagabccafgabcebcgabdbdcgabdgaagabfaccgacaedbgacebbcgaddccagaeacbdgaeaddagaebbbdgaedbacgafbabdgbaafbdgbbaeaegbbbagbgbcbaddgbcdbbcgbcebacgbebbadgbebeaagbfabbcgbgaadagcaaacggcacacegcacbebgcbbdcbgcbceabgccbeabgccdaadgcdcabcgceeaaagdabbdcgdabeacgdcacbcgdcdbbagdgaaabgeaaecagebaaafgebabdbgefggfffgfabeaagfdaacaggaaeaaggabbbbaaaffgbaaagbegaabcgeeaabgcfdaacbegeaaccbggaacdaggaacfceeaacfdbgaacfgdbaacgbeeaadecdfaaebaggaaecddfaaedefbaaeefaeaaeefdbaafcefbaafececaafegbbaaffdaeaaffdeaaagaedeaagaffbaagebagaagebceaageebcaaggccbabacggcabafcfeabbebgeabbedgcabbfdgbabbgdagabcacggabcdeedabcefbeabcfdfbabdacgfabdfdafabdgbgaabdgeadabebedeabeeedbabeffcaabfadeeabfeagbabfebbfabffbdcabffddaabfgdbbabgaddeabgagccacadbgfacaeafgacaefceacafgaeacagdecacbbedgacbeegaacbefafacbfcdeaccafgcaccfdcdacdecgaacdeeaeacdegbbacdgdadaceaagfaceadgcaceaeedacecedcaceeedaacefecaacegaebacfabgdacfadedacfbagdacfcebdacfcfcbacfdccdacgadgaacgdafbacgfaeaacggaadadaacggadadfceadaecfdadaefcdadafdbfadafeebadagddcadbadegadbcdgcadbebcgadbgacfadcaegcadccaffadccccgadcddecadceaeeadcefbcadcfaedaddcbdfaddccedaddedccadeaeagadebbgcadebcfcadebgdaadecbdeadefaebadfaagdadfabcgadfadceadfafeaadfbadfadfbagcadfcgabadfeabeadffccaadffeaaadgdabeaeabecgaeacgbeaeaeagdaeafedbaebbdcgaebbfddaebddagaebebfcaebgagaaecaagfaecacdgaecaegbaecafceaeccfaeaecdcagaeceabgaecfbafaecgafaaecgbdbaedgeaaaeeadddaeebdfaaeecddbaeecebcaefabfcaefadafaefadcdaefcbafaefcbcdaefccdbaegafcaaegagabaegbebbaegcbaeaegecabafabagfafabcfeafabfgaafacdedafaeaeeafagaecafagbebafbbbdgafbdebdafbdfcbafbdgbbafbeaedafbfbdcafbgaebafbgeabafcbbeeafcbgbcafcebafafdadbfafdbafdafdbbcfafdcagbafdeeabafeadbeafeddbbaffabfbaffcaafaffdbbcaffdcbbafgaaecafgabbeafgaebbagacbdfagadeeaagagdbbagbaefbagbdafcagbeceaagcacfcagcbcddagcdbdcagceafaagddcdaageaddbagebfabagfbbeaaggcbacbaaeaggbaaeefdbaafffbbaaggaebabbeffbabcbggbabdffcbabebegbabfcfdbabgbcgbacbgfcbadcfagbadebgcbadeeafbadegdabadgbddbaeagbfbaebfddbaecaffbaedccfbaegafbbafebecbaffbafbafgccbbagagbdbagcdcdbagcddcbagcfdabagdddbbageaecbbacdegbbacffdbbacgfcbbaedcgbbaedfdbbbbdffbbbbfgcbbbcaggbbbdedebbbgdbebbcbfedbbceccfbbcfcbfbbdddecbbddfaebbdeeaebbdfdccbbdgcaebbeaebgbbecdecbbfbaefbbfdfcabbfebcdbbfgabdbbgaeafbbgcbfbbbgfcbbbcacfedbcadebgbcadfbfbcadfecbcadgebbcaefafbcbaffdbcbbgbfbcbcfcebcbfbedbcbgecbbcbggbabccadfebccgcbdbcdaeedbcdfbdcbcebccfbcebdcebcffeaabcgbcebbcgeaccbdaafcgbdabaggbdafaeebdafdcdbdagbgabdbbefcbdbbffbbdcfaagbdeaaefbdeaagdbdegcabbdfacfbbdfagacbdfbddbbdfddacbdffacbbdgabbfbdgbecabdgcdacbdgfabbbdggababeabdcgbeacefbbeacfcdbeadcdebeaebgbbeafacfbeaffcabebcbcgbebeadebebebfbbebedbdbebfabfbecccbfbecddbdbecgaaebedaaefbedbfbcbeddaagbeddbafbedddcbbedfdbabeebdccbeecbdcbeeebdabefeadabeffacabfaaefcbfaagfabfabefbbfacdagbfaeabgbfaeecbbfagcadbfagcbcbfagfaabfbbebebfbcfdabfbfabebfbfccbbfcadgabfcbdcdbfcdfabbfcebbdbfdbbfbbfdbdeabfdbgabbfddbaebfdebadbfeabagbfefcaabfgabaebfgaebabfgcbacbgaaffabgafacdbgbbbedbgbcbddbgbdcaebgbfbbcbgccbebbgceaaebgdacbebgdaebcbgddaeabgecbdabgedacbbgfacbcbggacbbcaaeddfcaaedeecaaeeedcaaefeccaafdbgcaagfdbcabagfdcabfcbgcabgebdcacbddgcaccfbfcacdgeacacfagccacfcbfcacgccdcadfdaecadgabfcaedfadcaefdcbcaegacdcaegafacafaegacafccddcafdabgcaffbeacaffcbccagdcaecbagacgcbagbgbcbagdbecbbcdeecbbdeddcbbfcagcbbgfbbcbccbfecbcdeafcbcdgcbcbceacgcbceccecbcfabgcbcgfbacbdafddcbdbfcdcbdcecdcbdcedccbddfdacbdefcacbdfaeccbdfeaccbeagdbcbedddbcbedecbcbefbcccbfadcecbfafcccbfbbgbcbfdbebcbgbbagccabaggccadefbccafddcccagbagccagfcaccbcaffccbcfebccbecbfccbegcaccccfeacccdbdecccgaebccdbbgcccdbcdeccdbcfcccdcaeeccdeafbccdfbccccecfcaccedafbccedbafccefaeaccgacbeccgaecbccgcabeccgcfaaccgebcacdabdcgcdacbgdcdadcedcdadfcccdafcebcdbacefcdbbcgccdbbgaecdbbgbdcdbbgeacdbcbgccdbcecdcdbdadfcdbdeaecdbebagcdcbefacdcddbdcddaadgcddacedcddadagcddbbdecdddaagcddgcabcdeabedcdeabgbcdegcaacdgabfacdgcbbccdgcdabcdgebbaceabdbgceabeddceacdceceadbbgceagbaecebagbdcebageacebddbdcebeacececaaefceccabgceccdcccececadcecfbadcedaeeacedafbccedbfaccededabceeaagbceebdbccfaaceecfaageacfabebecfacbcfcfaccddcfafeabcfaffaacfbafdbcfbcccdcfbdafbcfbfbdacfbgcbacfdaadecfdbbfacfdcbcccfddbbccfebcdacfedbcacfgaadbcfgacbbcgaaefacgbbcafcgbbgabcgbfdaacgcacfacgcbceacgccaafcgccccbcgcddbacgdbadccgddcbacgeacdacgecadacgfbbaccgfbbbbcgfcaacdabbeeedabbgagdabbgcedacbddfdacfgabdacfgbadadbedddadcfbddaddfbcdadfdbcdaeaeagdaebadgdaeccbfdaecdebdafcagbdafcfcadafeabedafeafadaffbbcdagdafadbabcegdbadcgcdbbcdeddbbdfeadbbdgcbdbcccdedbcebagdbdccbfdbdcdafdbdffaadbeaafedbedfbadbeebccdbfdcaddbgagbadcbabgedcbcdagdcbddebdcbdgbbdcbfaecdcbfddadcbgcaddccaaegdccaefbdccbfaedccbgbcdcccacgdccccecdcccfbcdccdfbbdcceafbdcdabgcdcdcagbdcdceaddcddadddcddfabdcdeaafdceaebddcebaeddcecfbadcfaadedcfbbebdcffbabdcgeaacddabdfcddagccbddbbcbgddbbdgaddbcfadddbfdacddbgadbddbgbbcddccecbddccfcaddcdfabdddddcadddebdaddeabgaddfaecaddfcbbcddfdabcdeaagbddeacfaddeadagbdeadccddeadedadeadfbbdebaaefdebbaeedebbebddebdcdbdebfadbdebgcbadecbbecdecfacbdeeccacdfaabcgdfacgabdfafaaedfcaecbdfdabdcdfdafabdfeaacddfebaccdgabcbedgacgaadgaeeaadgagcaadgbeabcdgcabebdgdabbddgdacbcdgdadacdgdbeaadgeabdadgebaaddgfabcadggaacaeaabfgbeaabgfbeaacbegeaacdgceaadageeaaddcfeaaedeceaafbgbeaafedbeaagdcceabafgbeabbeedeabdbeeeabfecbeacaddfeacbaffeacbgaeeaccbeeeacdgaceacgaebeacgccbeadbcdeeadbdeceadbefaeadcadfeadcgbbeafabgbeafafadeafdbdbeagcabeebaaaggebaafbgebabagfebabbffebaceceebacgaeebadfbdebafadeebbbcdfebbeecbebbfecaebcadedebccebdebcdcebebcedadebdaagdebdcbddebeabbgebebdbdebebfcaebeddacebfbdcbebfbfbaebfeabcebfecabebgcbcbecabeececacccfecacdgaecadbbgecaeagbecagbeaecbafdcecbbccfecbbcgbecbbgcbecbccfbecbeeacecbfccbeccafcceccbbfcecccdeaecddbbdeceabddececbccecgaeabedaaebfedaceaeedaceeaedaeeacedagcacedagdabedbbbcfedbbdafedbcfcaeddbaeceddcbaeedeaabfedeabfaedeadbcedeaecaeeaaefaeeadecaeeagbaceebbbgaeebdfaaeeceacbeedbebaeeebabdeefaabdefacecaefaeadbefbaafcefbaeadefbddabefbeabcefbfabbefceaacefdaadcefdbccaegabfbaegbaeacegbcdbaegcbbbcegcbbdaegccaadegddaabegfaabbfaaagagfaaagecfaaccgcfaacfebfaadbcgfaaebgbfaafagbfabbccgfabcgadfabdacgfabdbbgfabffabfaccccefacccfbfacgccafadcbbffaddecafaebedafaecbaffagcbadfageaacfbaaafgfbaaecffbaafagfbacedcfbaebgafbaedbdfbaefbbfbbagaefbbbdddfbbcaeefbbeaecfbcgcabfbdcgaafbeaacffbebbebfbecabefbecbaefbeeaadfbeeabcfbfbdacfbfdaadfcaaddefcaagdbfcabdcefcadabgfcaeacefcbabcgfcbbacgfcbcdaefcbddadfccaccefcccgaafccdebafccgacafcdbbcdfcdcccbfcdcdacfcdcebafcddabdfcddcbbfcdddabfcdebcafceabbefcebccbfcecadbfcfaebafcfbdabfcfcbbbfcfdbabfdaaadgfdabacgfdabfcbfdacedafdafaccfdagbcafdbabedfdbaccefdbdbeafdbecbbfdbfdaafdcdaeafdcddbafdceaadfdcfbbafdfdbaafeabcebfebcaebfebcebafegbabaffaccbcffbbbccffbbcdaffccbbbffceabaffdaccaffeaabcffecaabfgaabfafgbaaaffgbcadafgcabadfgcbabcfgdaacbfgdacabgaaacfegaadafdgaaddfagaaebcegabcacggabdbcegabdbddgabfbeagacfadbgacgadagadacgagadbacfgadbcbegadebcbgaeaabggaeabddgaebaddgaeebacgafadadgafbccbgafccacgafdcabgagbaaegbbaagdgbbabcggbbcbecgbbcdccgbbdbafgbbeaebgbbeeabgbcacecgbcdebagbcedbagbdaacfgbdabddgbdadaegbdbaddgbdcccbgbddbadgbeabbegbedaadgbfacbcgcaccdcgcaeadcgcafaeagccbcbdgcdbabegcdbcdagcdcccagceabeagcebdabgcfbcbagdaacbfgdaadfagdabdeagdaebbcgdbcdcagdbfaacgdcaeacgdcbebagdccaeagdceabbgdfaadagdfabcagdfbabbgeaaccdgeafbabgebaafbgebabafgebabdcgeddaabgfadcbagfbcabcgfcadabgfceaaagfecaaaggbaeaaggbeaaaggfgggfdaaaefgdaaagbfgaabffdeaacegfbaadbcggaadbegeaadccgfaadeafgaadgbcgaaeddfdaaeegeaaafcfceaafffadaafgebcaagafcfaagaffcaagcbdgaagcebfaagcgeaaagebedaagfabgaagffbbabbdgedabcadggabcdegcabcgdagabcgdgaabdefafabdegeaabdfccfabdgcddabdgfcbabedefbabeebgcabeefbdabeegadabfaefdabfbbffabfcegaabfcgdbabffcdcabfgfbaabgcagdabgccedabgdacgabgdbgbabgebecabgeedaabgefcaabgfecaabggcadacaegagacbdefdacbfccgacbgaefacbgefaacbgfccaccagfdaccbgedacccecgaccdcgdaccgcfbaccgfdaacdeeafacdegadacdgacfaceddagaceddddacefecbacegbdcacegdcbacfbfcdacfcbgcacfcdagacfefbbacffddaacgadfcacgageaacgdebcadadgceadafbefadbbgedadbcgagadbeefbadcbgddadccagfadcdcfdadcfeaeaddadefaddddecaddgecaadeacefadeagdcadedeccadegdcaadfaebfadfbdecadfccbfadfcfbcadfebafadfeebbadfgaaeadgacgbadgadfbadgcbgaadgdcbdadgdeacadgdebbadgeabeaeabgcfaeadfecaeadgebaeafbcgaebacgfaebcffbaebefbdaebfedbaebgcfaaecaeeeaecebcfaeceeccaedaeedaedaegbaedbbfeaedbbgdaedbfafaedbgaeaedfagaaeeaceeaeebaefaeeddeaaeeeafbaeeecbdaefadfbaefcbagaefccdcaefcdccaefcddbaeffaeaaeffbdaaegaeeaafaaedgafaafdfafaedddafafgcaafagabgafagbagafbadgdafbafedafbbcdgafbbebgafbdbfdafbebgbafbecfbafbeddcafbfadeafbfbbfafbffacafbgdcbafcacefafcadcgafcbceeafcbfafafccdgaafccfccafcdeeaafcdfcbafdbbfdafdcfdaafddbbfafdfebaafdgabdaffabedaffcabfaffdacdaffdccbaffecacafgbddaafgcdbbagaabfgagadfdbagafabgagafedaagbbfebagbefacagbfaceagbfagaagcbccfagcbdgaagccbcfagcdedaagcdgabagceecaagdbcddagdcdccagfacafagfdabdbaaedgebaafbgfbaagfagbabeffcbabgdedbacbeegbacegcdbacgbgcbacgecdbadddcgbaddffbbadededbadeebfbadfbcgbadfbgcbadgafdbadgeeabaebfcfbaecbegbaedfbebaeeadgbaeeeebbaefcfbbaefdfabaegcbebaegeadbafbfddbafedebbafefcbbafegbbbagcafebagcagdbagcccfbagcdgabagdgacbagfbdcbbaebgfbbaegcebbbeecfbbbgfccbbcccgebbcgaeebbddfafbbdfadfbbecgaebbeebedbbeefcbbbefafcbbefbgabbegddabbegfabbbfbecebbfcfbdbbfcgadbbfeeadbbfgcadbbfgdcabbgbbcgbbgccagbcaegafbcaegfabcafgeabcagfaebcbcffcbcbcgcebcbdafgbcbegbdbcbffaebcbgccebccdbdgbccfagcbccfbgbbccgcebbcdbecfbcdfaedbcdgbfabcdgeacbceacgdbcefcccbcfabdgbcfaecebcfcbdebcfcgacbcfebdcbcgaecdbcgcabgbcgdgaabcgfaaebdbcdeebdbcgfabdbegbcbdbfeeabdcbddfbdccddebdccefbbdcgabfbddcdecbdddfcbbddecafbddgccbbdeaaffbdeacgcbdeagccbdecaeebdfabeebdfccebbdfcecbbdfdbafbdfdbdcbdgacgabdgbccdbeabbfgbeadaegbeaebfdbeagabgbeagcbebeagfcabebdagdbebeccebebedcdbebfabgbebgdbcbecagdcbececfabedabdgbedacgcbedbadgbedbdfbbedccecbeecacfbeecaedbeeebaebefadafbefbebcbefcagabegaecbbegbdadbfaabgfbfaaegcbfaagfbbfabcdgbfacdgbbfacfebbfadcdebfafebcbfbacefbfbdcagbfbdedbbfbdfcbbfbecbebfbedccbfcaeecbfcbbcgbfccdcdbfcdagbbfcdcdcbfcgcbbbfdadddbfdaeebbfdgaadbfeaeaebfeccdbbfeceacbfffabbbgaadfdbgaaffbbgabgeabgaccgbbgacebebgadbdebgafaddbgafeacbgbabfebgbagccbgbbdddbgbbebebgbccddbgbddbdbgbdecbbgceebabgcgbacbgdebdabgeaeadbgeafacbgedbcbbgfbbeabgfcabdbggadcacaaecffcabgfcccacecdfcacedcfcaceffacadaefecadbgbfcadegcbcadfcfbcaeceddcaefdaecafbeddcafbgcccafcgadcafebagcafedeacafgfaacagadedcagbaefcagbeebcagcdafcaggcaccbabegecbacegdcbacfgccbaddefcbagedccbbdcgdcbbfafecbbgcbfcbccdcgcbceaefcbcgedacbdabgfcbdaddgcbdaggacbeabgecbeaddfcbedagccbeecdccbffabecbgbbbgcbgbecccbgcbagcbgcbeccbgeebaccacgecccagcfbccbcddfccbcgcdccbfddcccbffdacccadefcccbegbcccecbfcccfdaeccdabegccdacefccdbaffccdbefbccdbgeaccddaeeccdgbaeccecddcccecgacccedadecceeabfccegbdaccfabgcccfceadccfecadccffcbbccgabcfccgbdbdccgdabecdabcgecdabffccdadagecdadcgccdaddbgcdaeaefcdaebcgcdbaegccdbdagdcdbecfbcdbeedbcdbfcebcdbfgabcdbgabfcdcbeagcdccfeacdcdgaccdcebddcdceddbcdcegabcdcgdbbcddbaefcddbecdcddcbbgcddfeabcdeacgbcdeafaecdebceccdecadecdfadcdcdfafbccdfbacfcdgaagbcdgacdccdgbaddceaaedfceaafcfceabddfceabfddceacceecebbagecebbcfdcebdecccebeddbcebfdadcecdfbbcecebebcedcbfbcedddcbceecdadceefbaccefbfbacefcbcccefeacbcegbdcacegdacbcfaadcgcfabffacfacgbccfadaeecfaeabgcfaebagcfaecfacfaefcacfafecacfbaccgcfbebdccfcbeeacfcdcbdcfdcaeccfddaafcfdebdacfeaagbcfecabecfecdcacffagaacffcbadcfgbaeacgaaeeccgaccbfcgadbddcgaecdbcgafafacgbaecdcgbdcaecgbeadccgcacbfcgcafbccgccaeccgccceacgcddcacgdcdbbcgdceabcgddcaccgebbdbcgecbadcgfdacacgfeaabdaabgfddaacedgdaadddgdaagedcdabecdfdabededdabeegadabfbgcdabgccedacccefdaccgcddacfdcddadadfedadafgbdadbcefdadcgbddadebdedaeaafgdaeaegbdaeafdddaeagebdaebaffdaebfafdaeeecbdafbdcedafbeafdafcbdedaffaafdagacbgdagadecdagfadbdagfdbadbaeeagdbaegaedbafafedbbaffddbbbeeedbbcdfddbbcfecdbbdgccdbbeadgdbbfddcdbbgaeddbbgdbddbcacffdbcdeebdbcebeddbdafagdbdagcddbdbbgddbdeacfdbdfagadbdfcdbdbdgcdadbdgebadbeacfddbeageadbecadfdbeebdcdbegdabdbfabfddbfacbgdbfcedadbfcgbadbfeaebdbgeaccdbgeadbdcaadgedcaagfcdcaccfedcadbgddcafbgbdcbdeebdccaagfdccafgadcccbgcdccddafdccedaedcdabdgdcdbecddcdddbddceagdadcecgabdceddaddcfbafcddabafgddabgebddaccgcddaceddddaddceddaedbeddaegacddbbgccddbbgeaddbdagcddcaeddddccdfaddcdbbfddcefbaddcfbccddcgdabdddabdfdddadbfdddafaedddbacgdddbfaddddcbddddddaddddddbbedddgdaaddeacfbddeadbeddeadcdddeccdbddecdbcddfaedaddfcabeddfcccbddfdccaddgafabdeabfafdeabfcddeafbdcdebabfedebafbedebcccedebcfdadebgaeadebgdabdecabdfdecadbfdecaebedeccaeddecebeadececdadedaeccdeddfaadeeaacfdeebbebdeeccbcdeecdacdefbdacdegbaccdfabdecdfacfcbdfafdcadfbabcgdfbaccfdfbbcagdfbcbbfdfbdacedfbdagadfcbbfbdfccbafdfecadbdfefaabdffaccbdgabebddgacagbdgaceaddgadcdbdgafbbcdgbaadfdgbadafdgbbdaedgbcbfadgbcebbdgbebcbdgbfbcadgcacebdgcbcccdgccaafdgceadadgdcbaddgfacaceaadfbfeabbdefeabdbgdeabdccgeabfebdeabgbgaeabgdeaeacbdcgeacbfddeaccffaeacffaceadbdbgeadbfebeadceafeaebdbfeaebfcceaecafdeaecdbeeafbeeaeafcbgaeafgbbbeagcabfeagccdbebadeceebadffaebafbedebbabgfebbbgcdebbcfdcebbcgeaebbdfeaebbeaeeebbeddcebcbaffebcbbgdebcbdcfebcdcddebcddafebcebbfebcgaebebdacgcebdbccfebddebcebdgaeaebebbdeebebcagebecddbebecgbaebfafcbebfcbbeebfdccbebgbaagebgcaafebgecabecaaaggecabecfecafafcecbbdcfecbecfaecccacgeccebbeecceebbeccfcdaeccfdaceccgaeaecdadddecdcacfecdcbececeafcbecebccdececgaaecedbbdecfbbafecfbebbecgbadcecgcbcbedaagebedaeadeedbacfdedbcbfcedbcbgbedbeabfedbfadcedcaafeedcaecdedcbdbeedcdeacedcefaaedcfbbceddbfcaeddcbebededabdedfbaafedfbadceeabfeaeeadccdeeaeaceeebacgbeebcfcaeebdafbeebdbebeecaeeaeecbbeceeceadbeeeeaacefaacedefabcecefadebbefbaafdefbbgbaefbeaeaefccdacefdaddaefdcdbaefdebabefeaabeeffbbbbefgbcaaegaadafegaaeccegadadcegbadeaegbbbfaegbdabdegbdcbbegbeabcegcabcdegdacbcegdadbbegeaadbegfaadafaacecffaadafffaaedgafaagdaefabaaggfabbddffabcbeffabcdedfabeebdfabfdaefacbeecfacbgdbfaccccffacfdcbfaddcfafaddfacfadebbefadgeaafaeafccfaedddafaeeafafafacddfafgbbafagacebfagadccfagddbafaggaabfbaafgbfbacbdgfbaceagfbadagdfbafcebfbbagbefbbcfeafbcacdffbceabffbcedcbfbcfaaffbcfcadfbcfebafbdbafdfbdcbcefbdecbcfbebgbafbeddacfbfagabfbfbeacfbfcbdbfbfcdbbfbfdbadfbgabdcfbgbccbfbgfaabfcacdbffcaceaffcagbbdfcagccbfcbadgbfcbdcbefcbdcebfcbgbdafccbafdfccbcagfcccadefccdbbefcdabedfcdadcdfcdddacfcdebadfceacbefcecacdfceccdafcefaacfcfadadfcgcbacfdaaefbfdabeebfdacdaffdacfadfdadcbefdagabdfdcbbcefdcbcfafdcccdbfdcdfaafddacaffddaddbfddbdadfdeadcbfdeaddafdegaaafdfaeabfeaaafefeabfbcfeabfcbfeacfacfeaefaafebbaedfebbecbfebcagafebgabbfecdbdafedbccbfeeaaaffeeabbdfefaabdfegbabbffaagbbffabcbeffabebcffbbebbffbecbaffcebbaffcfaabffdbaeaffddaacfgaaabgfgaabddfgabgaafgacaebfgbcbdafgbcccafgfgggeggaabagfgaacaffgaaccfdgaadcfcgaaeadfgaaebgbgaaegbbgabfbafgabfceagacbbeegacgbcbgadbbfcgaddbbegadedacgaeaccegaebcfagaecafbgaecbafgaeddacgafcafagafeabcgagcbcbgbaaebggbabdgbgbabgdbgbacbfdgbadafdgbbccddgbbebbegbbfbbdgbbgbdagbbgeaagbcagdagbccabggbccaedgbccdaegbcdcccgbdacbfgbdafbcgbdcabfgbdfbcagbedccagbgaadcgbgabdbgcabfeagcacbedgcadbbfgcadfbbgcaecccgcbaagdgcbacedgcbaebegcbagcbgccafbcgccbbcegccbcebgccbdccgcceeaagcdbecagceaecagcfcabcgcfcbbbgdacfcagdaddbcgdagbacgdbagacgdbbeadgdbecbbgdcbagagdcebacgdcecabgdddbacgdeaeabgdebdbagdfabdageaaagcgeaacgageabccdgeabcebgeafbbbgebaagbgebdabdgebdeaagedabaegedabccgedbbcbgeeaadbgeebacbgefaabcgefcabagfaadbdgfafbbagfbcaaegfbccbbgfebacagfeggggfggaaaceggaadcbggabccbggbabbdggbcabcggdbaacaaaffefaaagefeaaaggedaaagggbaabeffeaabfgdeaabggfbaacegcfaacgdeeaadcfefaadeegcaadgcdfaaeebgeaaeegcdaaefegaaaefgaeaafbgfcaafcgddaafdgcdaafecgcaafefafaafefcdaagaegdaagbgceaageedcaagefaeaagfbedaaggabgaaggfacabafdffabbddgfabbfgecabbgdeeabbggebabcccggabcdbggabcegddabcggccabdebgeabdegdcabeaegeabecbfgabececgabeeefbabegcagabfcafgabfcfgaabfdaegabfefccabgbebgabgcaegabgcfdcabgddbfabgeagcabgfeadacaefcgacafegcacbceegacbdgfcacbegfbaccagefaccbgcgacdbdgeacdcdgdacdcggaacebbfgacefgacacegaedacegbddaceggbaacfbcdgacfceecacfdcbgacfdfdbacgddebacgebfbacgfagaadaefgbadagebfadbbgcgadbeafgadbecefadbfddeadbgbeeadccecgadcdbffadcecdfadcfagdadcfdddadcfdfbadcfedcadddffaaddedgaaddegadaddgacfaddgbgaadeaedfadeafgbadebcefadecgeaadefcfaadfbdcfadfebbfadffdbcadgadbgadgbafeadgbdceadgbeafadgcdafadgdadeadgddaeadgeaddadgfbdbadggabdaeadddgaeadgfbaeafeddaeagdecaeagfeaaebaggcaebbfcgaebcgceaebeegaaeccffbaecdgdbaeceebeaecfdebaecfebdaedabfgaedbcfeaedbfbfaedfeadaedgaagaedgddaaedgecaaeeabffaeeagafaeebdcfaeebebfaeebfebaeeceafaeedbfcaeedcagaeeedaeaefbadgaefbfccaefdgabaeffabeaegagadaegcaedaegeabeafafaefafafecdafbbggaafbcdeeafbeccfafbefbdafbefccafceebdafcfccdafdaffbafdbbgdafdccedafddaeeafddafdafdegabafdfagaafecbdeafedadeafeedcbafeffaaafegccaaffbbfcaffbdcdaffdfbaaffgbcaafgccbdagadbdgagaefbdagafeccagbbfagagbbfceagbbfgaagbddddagbgcdbagcacefagcbgaeagccdceagcecfaagcegbaagcgcdaagdaffaagdbdddagdeeacagdfacdagdgbadageagcbagebbfcagebddcageeafaagfbbddagfcafbagfdcbcagfeabdbaafeefbaafegdbabefdfbacagffbacddffbacffagbacgdgbbadafffbadagdgbadaggdbaddaggbadfbfebaedffbbafcfddbafcgafbafdfafbafeafebafegcbbaffebdbafgbecbafgdeabagbgafbbagafgbbbbfegbbcafffbbccgfcbbcdgcebbcegdcbbdcfdebbddgafbbdefdcbbecedebbedecebbefdfabbfccfdbbfcfdcbbfddagbbfdeebbbfgbebbbgbbfebbgbfafbbgcgadbbgeccdbbgegabbbgfafbbbgffabbcaeddgbcafdcgbcafedebcaggccbcbcgedbcbdedfbcbefgabcbegebbcbgecdbccaegebccafefbccfadgbccfaefbccfcfcbcdbgagbcdbgfbbcddcgcbcdffdabcdgafcbcdgdeabcecdcfbcecgbdbcedfccbceedcdbceefbcbcefagbbceffcabcegafbbcegceabcegeacbcfdbfcbcfdcbfbcfeeadbcffafbbcfgcdabcgacfdbcgbebebcgcgcabcgeagabdagdcebdbageebdbdbegbdbegdbbdcaefebdcdagebdcdbdgbdcecgbbdcegdabdcgbddbdcgcebbddadfebddaefdbddagecbddceecbdddfeabddedfabddgbbebddgddabddggaabdeacefbdebaffbdebeagbdeccdebdedcgabdefacebdfcadfbdfdcdcbdfeaddbdfgaeabdgbadfbdgbcddbdgdabfbeaffbdbeagcfbbebcdeebebdccgbebefaebebggabbecacegbecbdcgbeccccgbeccdcfbecdgcbbecedafbecedfabecfabgbecfbbfbedaagfbedbbgdbedbebfbedbffabeddeccbedegbabeebagdbeebbgcbeecafdbeecccebeeecdbbeefbaebefccbebefcdeabefdaddbegafadbegbbecbegbdeabegcagabegcfabbeggacabeggcaabfaaedgbfaagfcbfadcfdbfaeccfbfbafedbfbbcfebfbbedebfbbegbbfbcgbdbfbdccfbfbeccebfbegcabfbgbfabfbggaabfccafebfcfacebfcfafbbfcfbafbfdcddcbfddecbbfdfaafbfecbecbfefaaebfegcbabffafcbbffdbeabfgbeacbfgccadbfggababgaaecgbgabfddbgabgdcbgaebedbgaefcbbgafabgbgaffcabgbadcgbgcaagebgcagdbbgccfdabgceebbbgcefabbgdafccbgdbcddbgdcabgbgdcdccbgdeaafbgdfbadbgdgcbabgeabbgbgecabfbgefacbbgfafacbgfbbfabggbbdbcaacggdcaagdcgcabcgdfcaccedgcacfagecacgeafcadaeegcaddeedcaddffbcadfeafcaebeeecaedbgdcaefbcfcaefbfccaefgaccafaeeecafcbfecafccfdcafcgcccafefdacaffbgacagadcgcagafgacagccdecagdcfbcagfaagcaggcadcbaddegcbaecegcbaggdbcbbfbgdcbbfefbcbbffebcbbfgeacbcadfgcbcbfeecbcdfddcbcededcbdaffdcbdcbffcbdccefcbdddfccbddfcdcbdfbbgcbdfcfbcbeacgecbebdgccbecgdbcbedcfccbeefadcbegaagcbfadeecbfccgbcbfdbedcbfgaebcbgddccccaceefccaeefcccbcgbfcccedcecccfeaeccdbddfccdcfafccdcfbeccddbgcccdfecbccebaffccefbbeccfafebccfbdceccfcbedccfgeaaccgadfbccgbedbccgeabeccgfdabcdabfdfcdaeddecdagedbcdbcagfcdbcegbcdbdfbecdbeecdcdbgcbecdcaaggcdcabfgcdcacffcdcecagcdcfdaecddaeedcddbdfccddebgacddgfaacdeafebcdecbcfcdefafacdfdacecdfebcccdffcbbcdgacgacdgbdbdcdgddaccdgecacceaecgbceaedbfceaegadcebbdfdcebbgdccebeadfcebedbecebegbbcebgacecebgcdbcececdccedafbecedafdccedbcbgcedbdfbcedbfeacedbgadcedcceccedeaeccedebbecedecdbceeadddceecbceceecebcceedceaceefaaecefacddcefaebdcefbafccefcbcdcegaafccegbaddcfaddfbcfadgbccfaecgacfafeadcfafedacfbbececfbbfdccfbcdgacfbdddccfbebddcfbebeccfbfbcdcfbgadccfcafbecfccfdacfcdcbecfcddaecfcdebccfddeaccfdecbccfeafadcfebacfcfebedacfeeccacfeedbacffcbeacffccadcffdadbcfgacdbcfgceaacfgdabccgadadfcgaddebcgaedcccgagfaacgbaaffcgbbbcgcgbeagacgbgabdcgcbacgcgcgaadcgdaebdcgdaedbcgdafbccgdcfbacgddccbcgdecaccgeaabgcgeaeadcgebcaecgfbeabcgfdaaddabdbgfdabebgedabeefcdabfgeadabgdagdabgfbddacbfeedacdeeddaceegadacgcgadadadgedaddgeadadebfddadgbgadaebcdgdaecbfedaecccgdaecffadaecgbddafbaffdafddfadafebgadafeeaddaffcccdafgdacdagaccgdagaebfdagagaedagbagddagcdafdagcebddagfcaddbadffcdbafbdgdbageebdbbcegcdbbedbgdbcbffcdbcdcgcdbcffdadbcgcafdbdagcedbdbdfddbdbfcedbdbgafdbdbgdcdbdcbdgdbdcbefdbdcgdbdbddecddbdeacgdbdgddadbeafbfdbebfdcdbebffadbeegbadbegfaadbfcgacdbfdfbbdbgcacfdbgeacddcadagfdcafadgdcbcefcdcbfcgadcbgcdcdccaegcdccagagdccdbdfdcceedbdcddcecdcddedbdceageadcecgacdcedbagdcfcacfdcfccfadcfedbbdcfgabcdcgaeeadcgcbafdcgcbdcdcgdfaadcgebadddaagedddacagfddaceedddaedgaddaeebeddaefaeddagcbeddagcfaddbbfbfddbebdeddccbdfddceecbddcfaecddcfdcbdddaaffdddadfcdddcbedddddcfadddeagadddeebbddeafccddebeccddeecadddfabgbddfcaceddfgbabddgafacddgbcbddeadaefdeadcdedeaeafddeaffbbdebagdcdebeddbdebfddadebgabedecaedddecdedadecedcbdedfbbcdedfcbbdedgcbadeeafcbdeecacedefadaedefbbcddegaecadegbabedfabcgcdfabdeddfacfeadfagaebdfbbgaddfbdagbdfbdfcadfbfebadfcafbddfcbacgdfcbdafdfcbfcbdfdabbgdfdabcfdfdbbdddfddfaadfdebcbdfdgbabdfdgbbadfebgaadfecafadfecebadfedaaedffbbaedgabgbcdgacedbdgadabgdgaddbddgbadcedgbbdcddgbeaebdgcabfcdgcbaeddgccdaddgcdaebdgcdccbdgdbadddgdfbbadgeadaddggbcabeaacdffeabccffeabcgfbeabfgbceaccedeeacfacgeacgebceadbafgeadbdcgeadcgaeeadcgcceaddebeeadeebdeadgcbdeaeabffeaececdeaefdcbeafceaeeafcebdeafeeaceafffaaeagbgacebaafgdebabfcgebadfbfebafbfdebbeagdebbgaedebcbagfebcbdcgebcdbgcebcdeebebceacgebcfdeaebcffbbebcgbafebdbeecebddeaeebdgcbcebebaefebebecdebebfaeebebgcbebecfdaebefbccebefdacebfafbdebfbaeeebfbdcdebfbgacebfdbdcebffabdebffeaaebgaadfebgabedebgcbdcebgdcdaecacfececagbgaecbaddgecbbdfdecbbefcecbefadeccbdcfecccecdeccebbfecdcfcbecddafcececafcececagbeceeaafecefbbcecfacagecfafcbecgadeaecgaeadecgcdbbecgfacaedaadfeedaedbeedbadfdedbaegbedbdcgaedbeafcedcabefedcaddeedcdgbaedcgccaeddbceceddbdcdeddbddceddcbgaeddddcbeddfbcbedeaeaeedeccbdedeebdaedegbabedfbafbedfbdadedfcadcedfdadbedfdbdaedffbbaedffcaaedgacaeedgccaceeacbgceeaecdceeafdbceebaefbeebcafdeebceaeeebdedaeebfebaeecaebeeecbcfbeecbfadeecfccaeeecdaceeeeaadeeeebaceefabebeegbacceegbdabeegcabceegcbacefaadfcefaaebfefaaeddefaaegaefaceaeefadbddefadeadefafdacefbadbfefbbcgaefbbgacefbcgabefbdbebefbdbfaefbdcccefbebdbefbecadefccaagefdabgaefdaeadefddadbefdfcaaefeabbeefecaccefedacbeffabdbeffcbbbefgadabegaaecdegabcgaegabdafegabddcegabgacegadagaegadcdbegadceaegaebaeegbcaecegcaadeegcbcccegccbaeegccbdbegcfaacegdafabeggaaadeggcaabfaaeagefaafgbcfabbecgfabbefdfabccgdfabdagefabebdffabfcecfacadeffacbgfafacddecfacgfbafadaeedfadbcdffadbdcffadeacffadeaedfadebddfaeaffafaebbdffaebcbgfaecddcfaedaedfaedbbffaedfcafaeecaefaeeceafafcfcafaffbbcfagacfbfagagbbfagcagafagdafafbadccgfbafcecfbafgcafbagccdfbbbbegfbbcfdcfbbfabgfbceaedfbcebbffbcegabfbebgacfbecbfbfbedcbdfbeeacdfbeebeafbeedbbfbfdebafbffadafbffbbbfbgabgafbgbecafbgeabcfbgecbafcaabfgfcabfbffcadgcbfcaegbbfcafbbffcbbegafcbcbdffcbdbfcfcbecbefcbeecbfccaeagfccbcfcfccbfccfcccbfcfccccbffcccebdfcdabdffcdbacgfcdcdccfcdcecbfcddaddfcdfbcbfcfbcaefcfcbeafcgabfafdabceefdabcfdfdaedccfdaeebcfdagabefdbbbfdfdbbfaefdbccgafdbfcbcfdbfdcafdcacdefdcbbdefdcbgbbfdcbgcafddbaedfddbbecfdeaecbfdebcccfdeddabfdfbbeafdfccbbfdfdcabfdgafaafdgbabdfdgbbadfeaagccfeaceeafeadfbbfebabgcfebacedfecacbffecbdaefecdcbcfeceaccfeceaeafedabcefedaecbfedafbbfedcbdbfeddaaefeebcadfeedcabffabbbgffadceaffagabcffbgcaaffcacdcffcbaceffcbafbffcecbaffddbcaffdecaaffdfbaaffeabccffedacafffaaeafffacbbffgabcaffgbabbfgacbcdfgadccbfgaebdafgaedabfgagbabfgbbfbafgbcfaafgbecabfgdeaabfgfbaacgaaddedgaaedbfgaafcecgaafeccgaafeeagaagfacgabbafggabccgcgabcddegabcefbgabeaeegabeeccgabefcbgabfecbgacafddgaceabggaceagbgacgfaagadfaebgaebbgbgaecbbfgafaadfgafaeaegagbacegagbbfagagdcacgagebacgaggabagbabbffgbacbgdgbaccgcgbacecegbadedcgbafabggbagebbgbbadeegbbegbagbcaffagbceacegbdbcgagbdcecbgbdeafagbebbbfgbebcbegbecebbgbfadccgbfeadagbgbbccgbgddaagcacdaggcaeedagcafceagcagbbdgcbaeecgcbbaefgcbbbgcgcbbcgbgcbbfccgcbdbecgcbgdbagccbbbggccbdebgccbeaegcdaeccgcdbebcgcdcbdcgcddbbdgceabgagceaebcgcebaaggcebbcdgcecdbbgceebbbgcfaeacgcgdbbagdaaeddgdabcgbgdadcdcgdaedbcgdaefbagdbaecdgdbbcgagdbecdagdbeeabgdcbdccgdcbebcgdcbfcagdcdbeagdcddacgdcfdaagddccbcgdedcbagdfdaacgeabadfgeabcddgeabdbegeadaecgeaecdagebaeaegebaeccgebbdaegecbaddgecbdbcgedaacegedabfagedacdbgedccacgeddcabgeeabdbgfabbaggfagacagfbabaggfbbagagfbbbebgfbcccbgfcacccgfcbabegfcceaagfdfaaaggacbccggbaafbggbbafaggbeacaggdgggggaaafgdgaabffdgaabgffdaacegdfaacgfdeaaddgdfaadggcdaaeeddgaaefcdgaafcgfcaafedeeaaffaffaagcaggaagcffcaagdedeaaggfcbabafggcabbgfedabcbffgabcdfdgabcdgcgabcegedabcfaggabcgecfabdbegfabddffdabdefdeabdfcgdabdgffaabebfdgabefaegabefeceabegcedabfbcfgabfdebgabfdgdcabfegccabfffaeabfgcecabgabggabgbdefabgecedabgegbcabgfcecabggdccabggddbacacgegacaefgdacbcgdgacbefeeacbgafgaccdgcfacdcffdacddeeeacddffcacdeafgacdebegacdfaegacdffafacdffbeacdfgbdacdgdecaceacggacegfdaacfbffcacfcdfdacfcfceacfdeddacfeecdacfgbddacfgccdacgaddgacgbfddacgcccgacgdbfdacgeddcacgeebdacgfbddacggagaacggcccadaefdfadagcgdadbecegadbedefadcgdgaaddefdcaddfbeeaddgcgaadedcdfadeebcgadfccfdadfddfbadffbagadffcfaadgbdcfadgbdedadgdbcfadgdcfbadgeadeaeabggdaeacdfgaeaffecaeafffbaeageecaebbdgfaebcegdaebfeecaebgdecaeceeecaecgadfaedbfedaeddcgcaeddeceaedfaeeaedfbedaedfcecaedgafcaedggabaedggbaaeefaedaeefbbfaeeffbbaefafagaefbgaeaefdbcfaefefacaefefcaaegaaegaegaaffaegacdfaegaceeaegadfcaegbdddaegddccaegeaddaeggabdafacfcgafbceeeafbcfbgafbfafeafbgcfbafbgfadafcagbgafcbbfgafcbfdeafcccefafccecfafcdageafcedecafcgecbafdbeedafdefadafdefbcafdfcafafdfebcafeagbeafedeccafedeeaaffaffaaffbeebaffbefaaffbgcbaffcbgbaffdecbaffecaeafffbccafgbaeeafgbcbfafgdaceafgdafbafgdecaafgfdabafggcbaagabgfcagacffcagadffbagaedgbagaeefbagaffccagbcbgeagbffbcagbgafcagcaffcagcagecagccebfagcdfdbagceaeeagdcbdfagdecbeagdefcaageabefageeaagagfafeaagfagcbagfcadeagfcddbagfcfacaggcdbcaggdabeaggddacagggacabaagfcgbabgfcfbaceggbbacfcgebacgagfbacgdeebacgfcebadceegbadfgdcbadgdedbaeceefbaeeecfbaeefcebaefdedbaegadgbaegefabaeggadbafdecfbaffdagbagdeecbagegcbbaggafcbbadefgbbbddgfbbbgcdgbbccfefbbcdbggbbcefcfbbddefdbbddggabbdgafebbdgagdbbeddfdbbefbgcbbegcbfbbfcfbfbbfcfecbbfdebfbbfeefabbgbdcgbbgbfddbbgcceebbgccfdbbgeebdbbggbdcbcbgeddbcbgfcdbcccegdbccdcgebccefecbccgfbdbcdbegdbcdcaggbcdededbcdfbcgbcdfeafbceabggbcebfdebcecfddbcedffabceecdebceefbdbceefeabcegadebcfacffbcfcdbgbcfecbfbcfefadbcfgbdcbcgfaecbdaaeggbdafcfebdafecfbdafgfabdbefgabdbfdgbbdcbdgebdccbgfbdccgcebdcededbdcfbfdbdcgbgbbdcgdafbddbfbgbddbfedbdddfcdbddfbbgbddgccdbdebefcbdecccgbdecfbebdecgdbbdedfccbdeececbdeecgabdeeddcbdefdccbdfaebgbdfbebfbdfcdfbbdfdcddbdfddbebdgbbfdbdgcbgbbdgdcafbdgdecbbdgebdcbebbcgfbebgdcdbeccfbfbecgcdcbedcdedbedcegabedcfcdbedddgabedgdcbbeebcdfbeebdedbeebefbbeedeeabeeebcebeeedccbefaceebefccddbefdaedbefdbddbefdddbbefgaeabefgbadbegaadgbegbeaebegcdccbegcebcbegdafbbeggcabbfaafefbfacaggbfacbfgbfacfedbfadedebfaebgdbfafbeebfafeafbfbbbfgbfbdaffbfbecfcbfcbfcebfccfafbfcdbgcbfcdfaebfcgfabbfdacdgbfdccbgbfddadfbfdecdcbfdedeabfebefabfeeaddbfeeaecbfeecdbbffabcgbffbcbfbffbfcbbffcbagbffcgbabffecbcbffecdabfffbcbbfgbacfbfgfdaabgaagcfbgadagebgadddebgaeagdbgafeeabgagdbdbgagebcbgbbdcgbgbbdeebgbcbfebgbcdedbgbcfdcbgbdagdbgbdbcgbgbdcbgbgbddecbgbeddcbgbffcabgcbbdgbgcbgccbgcdafdbgceacfbgceaedbgcfbcdbgdaaffbgdbcfcbgdbedcbgdgeaabgedbbebgfaedbcabggdccacegddcacfgdccadcbggcaddfdecadebegcadgfbdcaecaggcaecfbgcaeeebfcaeegcccaefafecaefagdcaefdeccaegfadcafbfdecafdcgccafdffacafeecdcaffedbcaffgbbcagafgbcagbcefcagdeafcagdefacagfcfacbaefeecbafbfgcbbcgdfcbbcgeecbbeefdcbcdddgcbcefgacbcffcdcbcgcbgcbcgcgbcbdagdfcbdbggbcbdcbgfcbddcefcbddfddcbdebfecbdeefbcbdfedccbebfbgcbeffdacbfafbgcbfagcecbfdcbgcbffbcecbfgceacbgabegcbgbceecbgcdeccbgcfdbcbgcgdacbgeeadcbgfceaccafebgccbbdfgccbfddeccbgfbdccccegcccccgcecccdeedccceagecccgagccccgfdaccdagdeccddbdgccdgbgacceacffccebcefccebcgdccedfdbccedgdaccegbfaccegcaeccegfbaccfeafcccffeacccfgbccccgaffaccgbaefccgbbcgccggacccdafbdgcdafececdbeaegcdbeececdcbdefcdcbdfecdcfecccdcgdeacddafcfcddbdgccddeagccddegcacddffcacddgecacdeacfecdeaegbcdebcdfcdeeccdcdeefaccdfagbdcdfbcdecdfbgbccdfdbgacdfdeadcdfegaacdffbdbcdgddbccdgebbdceabgbgceafcdeceagcgacebbgfbcebdfbecebdgcccebecedcebegadcebffbccebgafccebgagbcecccgccecddcececgddacedbaegcedcebeceddfdacedfacecedfbdccedgaafcedgaebceeadgbceeagbdceefdbbceegdabcefbbcfcefbfdacefcgbacegdbccceggbabcfabfdecfacdcgcfadbdgcfadbgdcfaddedcfadececfaegcbcfafbcfcfagdbdcfbagbfcfbaggacfbeccecfbedafcfbfbagcfcbccgcfcgbaecfcgcadcfcgeabcfdbfdbcfdbgdacfdcbgbcfddcafcfddcbecfeadfbcfebeaecfecbddcffabgbcffbebccffbfcacffdbbdcffdcbccffecbbcfgcbcccgacbgdcgadfbdcgafbddcgafbgacgafcbecgagbcdcgbaddfcgbaffbcgbagcdcgbbcfdcgbbgcccgbebeccgbgacdcgcdcafcgceabfcgcebafcgcfbdbcgdbcagcgdcbddcgddbafcgdebeacgdfdbacgedaafcgeecbbcgfcccbcgfcdcacggaeaccggagaadaadffedaaegcfdaaeggbdaagfecdabefcfdadbedgdadfdfbdaecededaedbdgdaeeefadaefdebdafcbfedafdbfddagadcgdagagdcdageaeddaggbdbdbacgdfdbaeecgdbafededbbfaegdbbffafdbbfgeadbbgcbgdbbgdecdbcbfdfdbcffaedbcffeadbcgcecdbcgfcbdbdabggdbdcfgadbddgbddbeadefdbeaedfdbeaeeedbecbefdbeececdbeecfbdbefdeadbegcbddbfaffbdbfbceedbfbcgcdbfbdfcdbfbecedbfbgccdbfddafdbfebcedbfeedadbffagadbfgdacdbgadeddbgbdagdbgbeebdbgcdafdbgcfaddbgfaebdbggbcbdcacegddcagdfbdcbaeffdcbageedcbbgcfdcbgcdddccafgcdccaggbdcccgcddcceddddcceefadcdccfddcddddddcdeagcdcdefcbdcdgceadcebffadcecbcgdcecebedcedeeadceebagdcegbdbdcegccbdcfaaffdcffbbddcffcaddcgafdbdcgbfbcdcgbfdadcgddbcddaccgeddaededddafgcbddagcbfddageeaddbadffddbbcegddbcbegddbcfceddbdeagddbebeeddbedbfddcbefcddccffaddccgeaddceeccddcfbceddcgcccdddbfafdddcdfbdddeaeddddgdacddeadbgddecacgddecagcddfadceddfcfbbddgadbeddgbfcaddgbgbaddgcgaaddgeadbddgfadadeaaedgdeaafdfdeaaggbdeabddgdeabdefdeacgafdeadagedeadebfdeaecgbdeaedagdeafbcfdeagdccdebadgddebafeddebbbegdebbcfedebbecfdebcgeadebdbdfdebddbfdecbecedecfecadedbceddedbgaddedcedbdeeafccdeebcecdeebdebdefbdccdegaafcdegbceadegcccbdegecabdeggbaadfadfccdfagcccdfbadfddfbceafdfbddebdfbeecbdfcbbdfdfcefabdfdfbbcdfeacagdfeccaedfeccbddfefabcdfgafabdfgbdcadfgecaadfgfbaadgaacdgdgaagfadgadaeedgadebddgbbccfdgbbcdedgbcaeedgbcedbdgbdbgadgbgbcbdgcbadfdgcbeaedgccacfdgccbfbdgcdcbddgcddbcdgcedcadgdagbbdgddbeadgdfadadgedcacdgefcaaeaadfdfeaaecegeaaeeeeeabddefeabecfeeabgbeeeacfbcgeacgbcfeadbaggeadcfeceadefaeeadfcageaeaedfeaedadgeaeebgbeaeececeaeefdaeaegddaeafacdgeafaedeeafbbfeeafcaefeafcbgceafedbdeafffbaeafgcadeagbaefeagbafeeagdfbbebaebegebaegdcebbffdbebbfgcbebcgedaebddfccebdebgbebdegacebdfbfbebeafgaebedcfbebeffbaebegdbbebfaegaebfbbdfebfeaagebgafccebgbdfaebgcdbdebgdcaeebgdeacecabdgeecabfcgecacbfgecaceeeecadebgecaeddeecagedbecaggacecaggbbecbafdfecbdcfdecbfbgbecbfdcdecbgbagecbgddbeccccfdecccdedeccdcgbeccfbagecdaedeeceacgceceadbgecebdecececadfececcagecefadceceffaaecfaagdecfafaeecgafdaecgcbafecgeaaeedaaefeedabdgdedabeeeedaceededadbdgedaebcgedbbcfeedbbfagedbccdfedbdedcedbdgbcedbebbgedbebdeedbegbbedcaddfedcbcfdedcccbgedcdfdaedcfaecedcfagaeddageaedddgabedeafeaedebdbeededagaedegaadedegadaedfbcbeedfcbafedfgbabedgfacaeeacfcdeeadfbdeeaeagceeafabgeeaffaceeafgabeebaefceebbbdgeebcbdfeebcgbceebdgbbeebeecbeecbeafeecebebeecfdcaeedabeeeedaeebeedbfbceedfadbeegbbeaefadbedefaebecefafcaeefafgaaefbfdacefcccdcefcdbfaefcfaaeefdaaeeefdcbcdefecccbefedacceffcaccefgdcaaegabccfegabfbdegabfeaegbbddcegbbfdaegbcdaeegbcfbbegbdaagegbecdaegbgabcegbgdaaegcacbfegcdbaeegdaddbegdbaceegebbccegegaaaeggbabceggcabbeggccaafaaagdgfaagafefaagccffabbcgffabeebffabfagdfaccfagfacdagefacdfaffacecfcfadacfffadagddfadbedefadcegafadddcefadgcaefaebffafaecebefaedeeafaefecafaegbbdfaegbeafaegdacfafafcdfafaffafafcgacfafdbcefafdcdcfafebebfaffccbfafgbcbfafgdabfagbbdefagbgcafagfbbcfbaaefffbabfdffbacdeffbacdfefbacfgbfbadagffbadbegfbagadffbagbfcfbbdfbefbbeagdfbbfcbffbbfdfafbcbefcfbcbgcdfbccfebfbcdfccfbdagfafbdbcgcfbdcdcefbdcecdfbddcagfbdebagfbdgaaffbeabdgfbeabgdfbeadcffbeadgbfbebeaffbedbagfbedcebfbfdaecfbfdebbfbgafcbfbgcbcdfbgccccfcaaegdfcaebcgfcafbgbfcafdaffcbbafgfcbcbeffcbcefbfcbefcbfcbfdaefcbgecafccagaffccbceefcccbeefcccfdbfccdeccfcdafdcfcdcbgbfcecacffcedbcdfceebeafcefbcbfcfadbefcfbfacfcfdcdafcgcadcfcgcdcafcgecbafcgfbbafdabgbefdacceefdadcfcfdaecbffdafcfafdbbbfefdbcgbcfdbdbgbfdbdcddfdbfaecfdcaddefdcafebfdcbfaefdccdaffdcebdcfdcfeabfddaeaffddcacffddceadfddecadfdeaddcfdecbcdfdeccdbfdfaadefdgacaefdgaebbfdgceaafdgdaadfeabdedfeadafdfeadcecfeaecfafeafabffeagbeafeagccbfebacfdfebagdbfebbaeffebbagdfebbgcbfebcaeefebdfcafebebfafebfadcfebfbccfecdcccfececbcfecgcbafedaagcfedacfbfedacgafedeabdfedfaadfeebbbefeebcdbfeedadbfeeebbbfefabfafefbaebfefebabfegaeabfegdacaffaacgcffaaebfffacdbeffadfbbffafadcffbaefaffbfdabffbgcabffcabfcffcadcdffcafdaffcbadeffcdadcffcgbbaffeaddaffecaeafgaaeebfgacbecfgaeafafgbcbebfgbdaaffgbddacfgcacaffgcafacfgcagbafgdcbdafgeadbbfgeafaafgecbbbgaabgbggaaeccggaaecgcgaagbgbgaaggbbgabcbffgabceedgabfcfbgabfgbbgabgdaegacaffcgacbefcgacfbgagadafecgadbagegadbgccgaddbgbgaecafdgaeccddgaeceeagaedbaggaeddccgafcagbgafdcaegafebaegagadcdgagbdeagbabgaggbafcaggbafgcagbagafcgbagcbegbbagddgbbedafgbcaedegbccfeagbcdebdgbcdfadgbceddbgbdbebegbdceeagbddcbegbddebcgbddfacgbeabeegbeeccbgbefbdagbfbddbgbfcdbcgbfceacgbfdccbgbfdcdagbfeaeagcabcdggcaccgcgcaceaggcacegagcacfafgcadbeegcaegacgcagbebgcbabeggcbaddfgcbdccegcbefcagccceccgccdbcegccfafagcdcccdgcdcdeagcdebdbgcdfbcbgceebadgcfcaebgcfcbeagdaafgagdadcgagdadddcgdageabgdbaeaggdbaefbgdbbgadgdbfbaegdbgbcbgdcaedcgdccbfbgdcecbcgddbagbgddbgbagddcfabgdecbeagdfbbdbgdfcaeagdgbccagdgbdbageaacdfgeabfbdgeadfbbgeagabdgebadbfgebagcbgebgbacgecbgbagedbaaggedeaadgeebbbdgeeccbbgegaeaagegdbaagfaeacdgfbaafdgfbbabggfbfdaagfcafbbgfcceabgfceabcgfcedaagfdabbegfdfaabgfgadaaggaabfcggacceaggadbaeggaeaccggbbabfggbbceaggbebbbggcacdbggcaecaggdabeaggddaacggdeaabggeadbaggfcabaggggggffaacdeggaacfdfgaacgfgcaadbfggaadeffeaaefgbfaafcfefaafdcgfaafdeefaafdgcfaaffebgaafffgaaageagfaaggfdbabbgdgeabcdggdabdcfgeabdedgeabdfecgabdfgddabefddfabfagefabfeeedabffdfcabfgdfbabfgeafabgdegbabgeefbabgfebeacaeefgacagegdacbegdfacbgbgfacccgefaccdfdgacdefcfacdgaegacdgdedacdgeddacedaggacedddgaceefddacefeagacegcedacfcegcacfdcgdacffaefacffcdeacgagedacgbgfbacgebdfacgedfbacgeeafacgeebeadadgefadaeegeadagdgdadcdgedadcfcfeadeceeeadeebfeadefgbcadegbfcadegeeaadfaedgadgaegcadgaggaadgbagfadgegcaadgfbbfadgfccdadggaecaeaefgcaeafeeeaeagfagaebdgbgaebgbfeaebgfcdaecdedfaecdfbgaecefddaecfffaaecgebeaecgfeaaedeeagaedfdbfaedfedcaedgbfcaeebddgaeebfedaeededdaeeecdeaeefddcaeefeccaeegagbaefbagfaefdcbgaefdgcbaefeedbaefffbbaefgabfaegadcgaegccdeaegeafcafaeaggafaeeeeafageecafbdecgafbebffafbfffaafbgfdbafccfgbafcdgbeafcedcfafcgcddafcgdfaafdbaggafdddcfafdeaefafdegbcafeaaggafeagagafeagddafebafgafebgdcafeecgaaffabffaffagcdaffagdcaffbbdgaffbfafaffbfbeaffddbeaffegabafgbcdeafgccagafgcfbcafgffaaafggcacagacedgagaddefagadgagagaegbeagagbfdagbaeffagbbedgagbgadfagbgbcfagbgbdeagccbffagccddfagccffbagcdfbeagceagdagcecfcagceecdagceefaagdabgfagdbgdcagddeafagdeedbagdfaedagebgbdagecedcagedgcaageebbfageebddageeddbagfaeecagfgaccaggbcfbaggebbdbabcgfgbabgdffbabggdebacegcgbadafggbadffgbbadgegbbaeaeggbaeagffbafbgeebafcdegbafdcffbaffcfdbagbgcfbagedcfbagfdgabbbfcgfbbbgffcbbcdcggbbcdggcbbdaffgbbdbgefbbdfddfbbeagdgbbebgeebbedfdebbedgcebbeeeedbbefegabbefgbdbbegadgbbeggbcbbgccgdbbgefdbbbgfbfcbbgfbgbbbgfcddbbgfdcdbcaggfbbcbfgagbcbgedebccceegbccdffdbccedgdbcceefdbccfafgbccgfbebcdbgfdbcdgcedbcebbggbcebedgbcedcefbcedddfbcedegbbcedffbbceeebfbcefcdebcegaeebcfdbgdbcffafdbcffdbebcgabfgbcgaddgbcgbecfbcgbfagbcgbgebbcgfacfbdaecfgbdafgcebdafgddbdbbdggbdbfecfbdcdffcbdcfagebdcgbgcbddcaggbddfcbgbddgbdebdebddgbdeccgdbdecefcbdedgeabdeeeebbdefdebbdfbfagbdfdfbdbdfebfcbdfedcdbdgcdfbbdgeccdbeadgfcbeaggdbbebbgdfbebdgbfbebeagfbecdfddbedebfdbedegbcbeeccfdbeeeacgbefagafbefccdebefddcdbefecdcbegbeebbegdcebbegeacebegeagabegebbebegegaabfabdfgbfacdgebfacefebfaecdgbfaefcebfafaffbfafgbdbfbbdgebfbccegbfbcddgbfbcfedbfbdfddbfbfdcebfccfddbfccgdcbfcegadbfdececbfdedcdbfdfcafbfdggaabfedgbbbffagdbbffdgbabffeagabffecdbbfffaebbfffcbcbfgbaeebfgcbagbfgccafbgaageebgabfeebgacdfebgaddfdbgadecfbgafbfdbgaffbdbgbaeefbgbbgfbbgbccgdbgbdccgbgbedbfbgbeecdbgbegbcbgbgafcbgccccgbgcdcbgbgcdgbcbgcecfbbgcfacfbgcgaecbgdafgabgdbbgdbgdbecebgdccbgbgddbfcbgdebfbbgdfcccbgdffabbgecbbgbgeeacebgfacedbgfbcecbgfbcfbbgfccfabgfcdaebgfdbbebgfeabebggbbgabggbeadbggcacebggfcbacaagcgfcaagegdcacdfgdcacfcffcacfcgecacfgddcadegddcadfegbcaeefbfcaeffafcaegdcecafffbdcafggcacagcgafcagfccecagfeaecbafedgcbagfcfcbbdegecbbffcfcbcaffgcbcfdgccbcgfebcbdfdcfcbdfeeccbdgfbdcbecfedcbeeefbcbegcagcbegcddcbegcfbcbfadegcbfccefcbfddedcbfdeagcbfdeddcbfecgbcbfeebecbffebdcbgbddfcbgcgeacbgddbfcbgececcbggcbdccafcffccbagffccbddegccbfgebccbgageccbgbgdccbgebfccbggdbcccaefgcccdfedccdbeefccdbegdccdcfedccdebefccdefebcceagedcceddcfcceedagccefbdecceffbcccefgcaccegedaccfbgbeccfcceeccgebecccgeedacdadeefcdaggbdcdbcfdfcdbdddgcdbdedfcdbfaffcdbfdcfcdbffdccdbgdeccdcbfdfcdccbgfcdcdgebcdcfdagcddbdefcddbfedcdddaegcddebcgcddfcddcddgbcecddgecbcdebagfcdebbgecdebcgdcdedebecdefcbecdefcfacdegdadcdfbebfcdfcfcccdffbbecdfgbbdcdfgbeacdfgebacdgaeeccdgcbbgcdgdgabceaedeeceafccgceafdgbceageebcebagfdcebggbbcecbaggcecbegccecdgbdcecfcfbcecgfcacedbbgecedeebdcedfccdceecadgceefbdccefbeafcefebebceffcadcegbbbgcegbccecegcbcecfabgcfcfacfbgcfaeefbcfafccfcfafeafcfbadffcfbbbgfcfbbedfcfbcdgccfbdagecfbdbdgcfbfagccfcafcfcfcbbffcfcdadgcfcgaeccfdafcecfdbeddcfdcdbfcfdfbdccfdgaebcfeaececfebccfcfebeafcfecfdacfedcfacfeeaagcfeeaeccffedaccfffaeacfffcaccfgeacccgabgagcgaccgdcgacfgacgadffacgaeaefcgaeebecgbdbgccgcaafgcgcdafdcgcdccecgcecebcgcgfaacgdaeagcgdbfcccgdeceacgdfacdcgeafbdcgebecccgecagbcgedfbacgfbcfacgfbddbcgfcdcbcgffacbcgfgbabcggaecbcggagbadaaceggdaadefgdaafcfgdaaggecdabegdedacaffgdaccgdfdacddgedaceaggdacffagdadeagfdadecefdadfccgdaebfgcdaedgafdaefeebdaegafddafddgbdafebeedafefdbdaffadfdafgabgdafgccddafgddbdagaefddagcfdcdagdgdadaggaecdaggagadbabeggdbagcefdbbdggbdbbeggadbbfgdcdbbgceedbcefagdbdbggbdbdeaegdbdegccdbdfadgdbecgfadbegdbddbfacegdbfafcfdbfbfdddbfcaegdbfedebdbfeebddbfefaddbfgaecdbgcccfdbgdeccdbgeeaddbgfacedbgfdaddcadgcfdcaecgedcafffbdcbafffdcbcgeddcbdecgdcbegcddccbdegdccdgafdccdgcddcceaegdccfdbfdccgcdddcddbfedcdeecddcdefccdcdfcfbdcdggabdcebffbdceddagdcedgdadceecfbdcefcafdcegadddcegecadcfcfccdcfdfbcdcfffabdcfgdbbdcgagdbdcgbeebdcgccecddadddgddafgeaddbeefbddbfcfcddbfcgbddcbaggddcdebfddcdeceddcedecddcfcddddcfeaedddbefcdddbgbedddcaegdddcdcfdddcedddddgadddddgebbddebdedddedcbfddeeedaddefcaeddfaageddfdcebddfedbcddgccfaddgdaecdeaageedeabgcfdeacbfgdeaccgedeaeagedeaedgbdeagcagdebcddfdebedagdebgcafdebgebcdebgfbbdecbfcedecdfdbdecebbgdecgaagdecgdaddedcebededeecbdedfcbddedgdcadeeagccdeedbgadeeeacedeeebebdeegaccdeegdabdefcfcadefebdbdegbcafdegbfbbdegcaecdegdadcdegddacdegdebadegfabcdfabdfedfacddfdfacfbfdfadeagdfbcceedfbcdgbdfbdccfdfbddcedfbdedcdfbefbcdfbfacfdfbffacdfbggaadfcabgedfcbdbgdfcdacgdfcgcbcdfdbdecdfdcfdadfddccddfddecbdfdecdbdfecafcdfeceaddfffabcdfffacbdfgabfbdfgacebdfgfaacdgaagcedgabcdgdgabcfedgacceedgaececdgafabgdgafcdcdgagcdbdgagdbcdgbbceedgbbdcfdgbcbgcdgbccgbdgbdeccdgbegbadgbfafbdgbgcbcdgcacdfdgcbdcedgccafddgccdebdgcegaadgdabcgdgddacedgdecdadgeabfcdgecbfadgedbaedgedbccdgegabbdgfbaagdgfddbadggadadeaaegcfeabcgcgeabgdedeabgdfceacebffeaceefceaceffbeacffdceacgccfeadfgcbeaeaeefeaebeeeeaebfbgeaeccgdeaedageeaedfebeaegaedeaegbddeafadfeeafcaffeafcgaeeafdcbgeafdfcceafeafdeagbeddeagbegaeagcbfdeageadeeageaedeaggbdbebadfgcebbbdfgebbdaggebbdcffebbdecgebbeefcebbgcbgebcceeeebcefdcebcfccfebcfcfcebdaedgebdaggbebdbgecebdccgdebdcgbeebddgeaebdgcfaebdgeadebebebgebedbgcebedeebebeedbeebegdadebfcbcgebfcbgcebfcebeebfdedbebfecafebffbebebgaddeebgbbeeebgbcgbebgdcfaecaedgcecbbegdecbeeagecbgadfecccbgeeccedddeccgcbeeccgfcaecdbdgcecdfddbecdfecbecebbfeecebeececebgdbecfafebecfccceecffabeecgbcfbecgbddcecgecdaedaaffeedadafgedadcfeedadfecedadgafedadgdcedaefebedafecdedbbcffedbbgbfedbcbegedbcfgaedbcgfaedbfdcdedcagbfedcdagdedcddddedcdeafedcecgaedcefbceddabffeddagcdedddedbeddeagbedebgbcedecbdeededadeededccdededebcedfadecedfaebeedfbdcdedfcagbedfcbgaedfgbcaedgacceedgbagbedgdaafeeaccfeeeadbdgeeadcfdeeaeeebeeaeefaeeaggbaeebbedeeebfbeceebgagaeebgbbeeecacdgeecdgaceedbcfceedcbedeeddfcaeedeaceeedfadceeeaagdeeecedaeeeeadceeeebeaeeeecbceeefabdeeegabceeffbaceeffcabeegbaddeegbddaeegdccaefaaeeeefaafedefadbeeefaeeaeefafcbeefafebcefagcdbefagdadefbaagfefbcebeefbfaecefbgcadefbgcdaefcbgdaefccacgefccbbgefcceaeefcefabefcegaaefdabdfefdafeaefdeabeefeabfcefeadbeefeadcdefecbafefecebbefedabeeffacebeffcacdeffdbdaefgaeacegabdgbegacbdfegaceafegadbfcegafaddegafaecegbaaffegbdbecegbeaagegbeagaegbeecaegcaafeegcacgbegcbdfaegccbbfegcdabfegcdaddegcdafbegdfbbbegdfcbaegeabceegeagbaegfbdacegfbdcaegfccbbeggaabefaafddffaafgfafabbfgdfabdfedfabfeagfabgdbffacaefffacdfddfacfcedfaddebffaddeecfadedagfadffbcfaebgcdfaecfbefaefbcefaefcbefafbcdffafbcgcfafbddefafcdfbfafdcecfafeagbfafeeadfaffbaffagabgdfagcacgfagcgacfbaefddfbbagfdfbbbegdfbbeaegfbbebdgfbbecfdfbbeegafbbegbdfbbgcgafbbgfadfbcafgcfbcbgddfbcdaegfbcedagfbcedfbfbcfafdfbcfddcfbddfccfbdfebcfbeccdefbedcagfbedeaefbeedaefbeffabfbfbcdefbfbdfbfbfdedafbgbebdfbgccfafcabffdfcaccgefcacddgfcacgagfcbagfcfcbbgfbfcbcceffcbcdcgfcbgadefcbgbcefcbgbfbfccbafgfccbfbffccceagfcceebdfccfabgfcdcaeffcdcdbffcdddbefcdddfafcecbbgfcecccefcececcfcefdbbfcegdabfcgbbgafcgeabdfdaafeefdaeagdfdafdaffdbaefdfdbedbefdbfdccfdcaebgfdcbebffdccecdfdcceebfdccgbcfdcdagcfdcdeaefdceecbfddbfccfddcgacfddfacdfdfacddfdfbcaffdfecacfdfedabfdffbcafdgaedafdgbafbfdgcafafdgeabcfdgeacbfeabdcgfeacfaffeadbgcfeadebefebbbeffebcebefebceebfebddfafebgdcafecedcbfecfcdafecfebafedbbgbfedbdaffedbedbfeddbaffeeaeeafeebddbfeebgabfeecacefeecaecfeedcadfefabcefefcafafefdbdafegbaebffaebbfffafbdcffafbebffagcadffbcbedffbceaeffbdgbaffbecdbffbffaaffcaecdffccadeffccafcffccbfbffcdabfffcfbcbffdcagaffedbdafffabcdfffccacfgabeebfgacbdefgaccfbfgacedbfgacfadfgacfbcfgadcaffgaegaafgbccebfgbebaefgbfbcbfgbgabcfgcfabcfgeaagafgebbbdfgebcdagaacbgggaadggagaagcbggaaggadgabcgcegabdcdggabdcefgabdddfgabfeafgabgbbggabgeccgacaefegacbdfegacdebfgacdefbgacfgcagadbgfagaddagdgadfdbdgadgaaggadgabfgadgdadgadgdcbgaebbfegaecbcggaecgcbgaedbdegaeddcdgaeebecgafabfegafadcfgafaffagafbbfdgafbedcgafgccagagcbfbgagcbgagagdaecgagdgaagbacfbggbbcbgegbbdeddgbbdefbgbbdgbdgbbedecgbbgbgagbcbfaggbcdefagbcebgbgbdafbfgbdaffbgbdbgaegbddddcgbeceeagbegadbgbfafccgbfbdfagbfcadegbfcbaggbfcccdgbfdcdbgbfeaebgbffccagbgaeaegbgcacegbgcbebgbgdbdbgcaaffdgcaagbggcacdeegcadecegcafacggcbbcgdgcbceaggcbdecdgcbdgdagcbecaggcbeeccgcbegbbgcbfddbgcbgebbgccdagcgccebbfgccecbegccgcbcgccgeabgcdbcdegcdcgacgcdfbaegceadgagcecbaggcecedagcfaeeagcfbdccgcgacdcgcgaebcgcgcebagcgdccagdabcfegdadagdgdaggaagdbacdggdbadeegdbadfdgdbcafegdbcagdgdbccgbgdbcdgagdbcfeagdbddbegdbffabgdbgafagdcabdggdcbagdgdcddccgdceafbgdceecagddacedgddadbfgddafbdgddceadgddcfacgdddcaegdddcccgddecbcgddgcabgdeagacgdeagcagdebedagdedaafgdfbbebgdfbddagdfcabegdgafbagdgecaageaacgdgeabddegeadbcfgeagafageagcbcgebcgbbgebdadegecaaefgecefaagecgbcagedabdegedadafgedbccdgedcdcbgeeacdcgeeacfageebeacgeecbbdgeeceabgeefbabgefcbdageffabagegaabegfaabfegfaafdcgfaccddgfafccbgfagbadgfagccagfbbddcgfbcbcegfbcdeagfbceadgfbdceagfcabedgfceaccgfceadbgfceaeagfdbcccgfdbfbagfddaeagfdeacbgfdgbaagfeaecagffacdaggabdebggacbceggagbbbggbaadfggbabbgggbbcdcggcadccggccadcggcfabbggdcabdggddcabggefaaaggfaadbaabfffgaadegefaaeedgfaaegfcfaaffdgdaaffeeeaafggebaagbgdgaagccggaagcgdfaagedfeaagfbgeaagfcefabaeggfabafffgabbeeggabbgeegabcffgdabcgdegabdbfggabdefefabdgfedabefegcabefgbfabfggeaabgbgdfabgcgcfabgdddgabgecfeabgegcdabgfaegabgfeecacbcfggacbfgcgaccefgdaccffeeacdbffgacdbggeacdedffacdgeedacdgfceacedcfgaceddegaceffecacefgfaacegcgcacegfbeacfcgdeacfgdgaacgbfeeacgbfgcacgdgcdacgeegaacggdebadafffeadbdfgeadbgdefadcdfgdadcdgcgadcebggadcegbgadcfdfeadcfecgadcgffbadddgbgaddeefdaddfecfaddffceaddggbdadeafegadedddgadedfgbadefdbgadeggdaadfeccgadffaefadffdagadfffbdadfgcceadfgeaeadgaeefadgcfceadgddfcadgefbdaecbegfaecfcefaecfecfaedcedgaedecefaededcgaedfceeaeedeedaeedfceaeedgebaeefaefaeegbedaefdfbeaefefaeaeffcddaegagceaegcdedaegceddaegcfdcaegecddaegefadaegefbcaeggbebaeggddaafcagdgafcccfgafccdgeafcdgbfafcgbeeafcgbgcafcgeafafdageeafdebgdafdfaefafecfgaafedcfdafegdaeaffbgbeafffbgaafffedaaffgaddaffggaaafgdcbfafgdcceafgeafcagabggdagaebfgagaefdeagafbffagafgcdagbagfeagbefddagbfefbagbffdcagbgebeagcafdgagcdbgeagcdecfagcecgcagcefcdagcfdecagcffbdagdafdfagdbcegagebcefageddbfageddddagedgbcageedafagfaecfagfafceagfbbdgagfbfcdagfbgccagfefcaagffbebagffeacaggaebfaggafbeaggbcgbaggdadeaggdcafaggdfcabadgaggbadgefdbaeddfgbagcgedbageafgbageegbbaggdecbagggbcbbagggcbbddegebbdgdeebbdgdgcbbeaffgbbebfegbbeeefdbbfefddbbfgbfdbbgaffebbgcgddbbgdgbebbgebgdbbgfdagbcbdfgebcbffgcbcbggddbccdgdfbcceegdbccefeebccgcefbcdggdbbceagfebceefcebcegbeebcegdddbcfcgbfbcffbfdbcfgeeabcgcfbfbcgebfdbcgfeeabcgffadbdadfgebdadgefbdafgdebdagddgbdbefgcbdbgbgebdcbfgebdcedgdbdcfafgbdcgdbgbddcfcgbddfdcfbddfdgbbddfebfbdecfgbbdecgcebdedffbbdeedgbbdgbcgdbdgecfbbeacegfbeaegcfbeafgecbeagafgbeagffbbebfegbbeccgcfbecdcgebedageebedbdgebedccegbedcdefbedcfedbeddgbebedeaffbedgcgabedgdfabedgfbcbeeadffbeebdfebeecedebeeddcfbefbbffbefbfecbefbffbbefccdfbefeadfbefeafdbefedebbefgdadbefggaabegaedebegeedabegfddabfaedefbfaggdbbfbbeegbfbcgfcbfbefgabfbfccgbfbfdbgbfbffdcbfbfgbdbfbfgccbfbgfaebfcbdgebfccefdbfcdafgbfcdgdcbfcfdgabfdadffbfdbdgdbfdbgcebfdcecfbfdcfddbfdcgafbfddcdfbfddeddbfdebfdbfdecedbfeagddbfebegbbfebgbebfebgebbfecaegbffbgccbffcgcbbffgfaabfgafbebfgcfcbbgacgedbgaddfebgaeffbbgagcbgbgbcaggbgbdbegbgbfadgbgbgeaebgcacfgbgcbbfgbgcdefbbgcebcgbgcedbfbgceeafbgcefbdbgdacgebgdaffcbgdbdfdbgdbeedbgdbfgabgdbgcdbgdcdfcbgddbdfbgddbfdbgddefabgeafgabgebdfcbgebgdbbgedfbcbgefdadbgfbccfbgfbedcbggcecbbggddbcbggfbcbcabfeegcabgdegcacgaggcadedffcadefdfcadfcegcaebgefcaecgeecaeegeccafadggcafcgbgcafdcgecaffdgbcafgbgccafggadcagbgcfcagdgcdcagegaecbagcgfcbbggbfcbcdgcgcbddcfgcbddgbgcbdfcefcbdfddfcbedeeecbeegafcbfedcfcbfefafcbffdbfcbfgeeacbgafdfcbgcbgecbgcgfacbgdaffcbgdfcdcbgfcfbcbgfdfaccadfgeccaedfgccagefdccbfecgcccfefcccddfgbcceadfgccecfcfccecgecccedddfcceebdgccfbfcfccfcgcdccfedagccffeccccfffdaccgbfceccgcbfeccgdagdccgddceccgfaedccggbbeccggdbccdaecgfcdagbgecdagcefcdagfeccdbceegcdbeeeecdbegeccdbfcdgcdbfdfdcdcadggcdcafffcdccdgecdcdgeccddaggccdddcgdcddfbdfcdeagedcdedbfecdedeagcdedebfcdedgaecdefeaecdegagbcdfaffccdfaggacdfdcedcdfffbbcdfgabfcdfgafbcdgafeccdgbececdgddfaceaddegceadffdceagccgcebecfecebgagdcebgdagcebggadcecaggccecdfcececeagecececfdcecfdgacecfebececfefaceddcfdcededceceecbdgceedebeceeebdeceeecagceeffcaceegafbcefbbgdcefdadfcefdcfbcefdecccegbbdfcegdedacfaaefgcfabgdfcfagagdcfagfeacfbbgedcfbdeedcfbedcfcfbeebfcfbegdbcfbfcedcfbgagccfbgbedcfcacfgcfcbffccfcccefcfcdffacfceafecfceagdcfcedbfcfcfgaccfdfbddcfdfbgacfdgfabcfeacdgcfebbgdcfeedeacfegacdcffafcdcffcceccffdbcecffeafbcfffaafcfffbeacfffeabcfffebacfgbddccfgccfacfgeaafcfgeafacfggcabcgacgddcgacgfbcgaddfdcgbceedcgbdfbecgbdfcdcgbeeafcgbgbcecgcbagfcgcbfagcgcbgafcgccebfcgcefcbcgcfagbcgcfdbdcgcfedacgcgcbdcgdacdgcgdagfacgdbccgcgdcaefcgdefbbcgdfabfcgdgccbcgeabefcgeabgdcgeaeagcgebagdcgebcedcgebebecgeedcbcggcaecdaacfggdaagbggdaagegddabffgcdacdggcdacegeddacfeeedacfggadacgdeedadecffdadfgebdaecfgcdaedbgfdaedfbgdaedgagdaefgbddaefgdbdaegfdbdafbfeedafdfcedafeffadagacgfdagbbgfdagcgdcdagdcgcdagdgaedageccfdagfcagdaggcafdbbfeeedbbfffcdbbgcefdbcbfegdbcfdgcdbcfededbcfgbedbdcdffdbdedeedbdfagedbeadgfdbedgdcdbfafgcdbfdaegdbfdaffdbfdcfddbfgacfdbfgedadbgddgadbgdebedbgedfadbgefdadbgfeaddcbgagedccddgddccecfedccfbdgdcdaegedcdefcddcdegccdcdfceddcdfcfcdcdfddddcdggbbdcebffcdcebgcedcecfcedcedceedcfcbefdcfdbeedcfeafddcffadedcgbaegdcgdaeedcggfaaddacdgfddacgfdddaeegcddafgbeddagebfddbcfdfddbdcgeddbecefddbeededdbeefcddbgbdfddcdbegddcgcecddcgdafddcgeaeddebbgeddeebfcddeedafddegaceddfaegbddfcdddddfcdecddfecdcddgbbcgddgbebeddgceaeddgdbddddgedbcdeaedgcdeaefdddeafddedeaffebdeageafdebceeedebdfgadebggacdecadffdecbfeddeccdeedeccgebdececgbdeceefadecegdadecgddbdedbcdgdedccdfdedfbagdeebfebdeedafddeeebbfdeefbfadefaaffdefagaedefbfeadefedcbdeffdcadegagbcdegdebbdfacbfgdfaecgcdfagbcfdfageccdfbbgcedfbfaeedfbfbfcdfccdfcdfccgaedfcdaefdfcfacfdfcgcaedfdafecdfdagebdfdceebdfdcfaedfdeccddfdgafadfdgcaddfdgcbcdfebcgbdfedbecdfeebbedffbddcdffcagbdffccdcdffcgbadffebaedffecbcdfffbcbdfgeaccdfggabbdgaageddgacgdcdgaebcgdgaefaedgbbbegdgbbededgbdecddgbdeebdgbgagadgcagbedgccdfbdgceddbdgcffbadgdcgacdgeacbgdgeafeadgebeeadgecdccdgecebcdgedaecdgedbdcdggbbafdggccbceaafdffeaagedfeabgfgaeacbfffeacggbdeaebcgfeaebedgeaecfedeaedegbeaefcdeeafaefeeafbfedeafbgddeafedbfeafedgaeafffadeagacffeagbdeeeagbfgaeagfdaeeagfeadeaggbbeeaggfabebadgcgebaecgfebagbegebbagffebbdcgfebbfdfdebbgccgebccegdebcegcdebcfddeebcfdfcebcffafebcgadgebcgbgcebcgefaebdbgedebdcgbfebdfcfcebdfebeebdgcceebdggacebeecfcebeefeaebegccdebfeacgebfebcfebfedcdebfegacebfgbbeebfgcbdebgabegebgbgccebgccedebgebfbebgfdbcebggcbcebggdbbecabefgecaefgbecaffgaecafgdcecbecfeecbfaegecbfeagecbgbeeecccdfeeccededeccfadgeccgadfeccgbgbecdagcfecdbggaecebedeececfcdeceefbcecfcafeecfcgcbecfebceecffeacecgadgbecgbdagecgbgbcecgcddcecgdbceecgeafbecggeaaedafaegedafbefedagaefedbbedgedbcfgbedbdgfaedbegccedbgfbcedbgfdaedcaedgedcbefdedcdfcdedcgddbeddbafgeddbebgeddcgdbedddbeeedddccfeddebbgeddecagedeaegbedeafagedeafbfedecbeeedecbgcedeeecbedeeedaedefcdbedfabefedfadededfafdcedfageaedgaedcedgbbbgedgcdeaedgdddaedgebdbedgfacceeacbgfeeacfdeeeacgeceeaecfdeeaeeeceebabggeebcgbeeebfddceebfdfaeecdbfdeecdebeeececddeecfabgeecfcfaeecfdaeeecgcdbeecgddaeedagcdeedbeageedbeeceedbfdceedcafeeedcebeeeecbcfeeedabgeeeeebbeefbbedeefcfaceefdddaeefgcbaeegabedeegaecceegbaedeegbbageegbdaeeegeabdefaagbgefadfcdefadfdcefaegbcefaffbcefbafcfefbbegbefbcgccefbfbecefbfedaefbffacefbgaddefcadgcefcbbdgefcdfadefceafcefdbcgbefdbfbdefdbfdbefdceeaefdcfdaefedfbaefeeccbefegabceffabcfeffaebdeffafadeffdacdeffddcaefgecbaegaaffcegaagecegaccfdegacdgbegaddddegaeagcegagafbegbaedeegbbgeaegbdcagegbdebdegbeeadegcdbagegcebdcegdbcfbegdccfaegdcebcegdebeaegeacbfeggaacefaaagfgfaaffcffaagedefabddegfabdeeffabfcfefabggdbfacaffffaccffdfacdegcfacdgecfacegaffacgeaffadgccefaecagffaecebgfaedccgfaeeafefaefdcdfaeffcbfaegacffafcddefafcffafafebgbfaffbddfaffedafafgfbafagcgadfagcgcbfagdcecfagfcccfbabegffbabgfefbaeaggfbaeddgfbafegbfbbcgcffbbdgbffbbegbefbcdbegfbceaegfbcegccfbcfcgbfbddafffbdgaedfbeacfffbeagbffbebbgefbecdedfbeddddfbeecfbfbeedfafbeegbbfbegacefbegbcdfbfbaegfbfddfafbffagafbgaddefbgbcedfbgbgcbfbgdadefbgdddbfbgdfbbfcaagdgfcacgbgfcacggbfcbcdfefcbdcgdfcbfaeffcbffbdfccbgfbfccebfdfccedcefccfaeefccgecbfccggbafcdaecgfcdafedfcdcgdbfcddefafcdeagcfcdfcfafcdgacefceabgefcedcfbfceecdcfcefcccfcegdbbfcegebafcfadbgfcgabeefcgaecdfcgfdabfcggcbafdacffcfdacgecfdadcfefdadebgfdadffbfdbafeefdbcebgfdbfbedfdbgafcfdcbgfafdccfbefdcddddfdcfcbefdcgdbcfddagfafddbcgcfdddbgbfdddgbbfddeagbfddfbbefdeabfefdeadbgfdeaeagfdebccffdebcfcfdeccddfdedaedfdedcdcfdfafbdfdfceadfdfebccfdffcbbfdgaaeefdgabcffdgadcdfdgadfafdgdaaffdgdadcfdgdcdafeabddgfeabffcfeacbegfeacdcgfeadgbdfeaebfdfeaedddfeaefbdfeafbbgfebaedffebbgcdfecafddfecagfafecdbdefecddbefecffabfedadgbfedafbefedbbcgfedcdcdfeddacffedfadcfeeacbgfeebbdefeeccbefeecdeafeeddadfeefaaefefdaebfefgaacfegabcefegadbdffaagfbffabebgffabecfffabfgaffacdcfffacegaffacgdbffaecceffaececffbbageffbcfdbffbebceffbfcbdffbgacdffcaeceffcbbcgffcbbeeffcfdbbffdaedcffdcbfbffdcccdffdfdbaffeabfcfffabagfffacfafffcadcfffcbeaffgaabfffgbacdfgabecefgadgcafgbaeddfgbbbfdfgbbbgcfgbcbfcfgbgaaefgccgbafgcdabffgcdbdcfgcebdbfgcfbadfgdacddfgdbdccfgdeaaefgdfabcfgdfdaafgeaagbfgeabddfgebcdbfgebceafgfabebfgfadbcgabccgfgabedfdgabfdgbgacbffdgacdgebgacgcddgacgeccgadfbgbgadgecbgaecebfgaedbgcgaegbebgaegecagafcdecgafdcfbgafecdcgafegabgaffaecgagadedgagdgabgaggaaegbadcffgbadfcfgbbageegbbbfeegbbebgdgbbefebgbbfbcggbbgeeagbcadeggbcbfbggbccagfgbcddgbgbcfbcfgbdcdgbgbdcfafgbddcdegbddeafgbeabgegbeafgagbedcddgbfaegagbfbfaegbfcbcfgbfdbfbgbffaebgbgaafegbgaebegbgbcddgbgcabggbgcbgagbgefaagbgfbdagcaafdggcafbgcgcagedbgcbcfcegcbgcebgcbgdeagccabfggccbfgagccegbbgccgafbgccgbfagcdbecegcecbfcgcedbddgcedgbagcefccbgcegdabgcfaagdgcfagadgcfbfdagcgacecgcgccbdgcgcdadgcgcfabgcgfcbagdabcgegdbacffgdbbffbgdbegbbgdbfbbfgdbfdccgdcacfegdcaecfgdcbgdbgdcdedbgdcecebgdceebcgddgdbagdebcbfgdebdafgdeddadgdedgaagdfbfacgdfcdcbgdfcfbagdfdbbdgdgadbdgdgbabfgdggabageaadgdgeaaffcgeabecfgeacegageacfcdgeaffbbgebaefcgebcdaggecccddgecdfbbgecebebgececdbgecffaageeaeccgeebdbdgeecaecgeedeabgegcaccgegcccagfaagbegfabcfdgfafbafgfbbaefgfbbdbfgfbbdecgfbbdfbgfbdaedgfbfacdgfcabdfgfccgabgfcdbbegfcfaaegfeaddbgfebdbcgfebecagffbcbcgfgbdbaggabdgaggacbdeggaecbdggagcbbggbbadfggbbfcbggbcedaggbdeacggbeacdggbfaeaggcaacgggcagcaggcbabgggcbbddggcbccdggcbfcaggccbdcggccdcbggdagabggeabbeggebdbbggeecaaggfaafagggbbbbgggbcabaadfegfaaffgcfabcfgefabcgeffabdcgfgabdegdgabdfeffabdfggcabdgeefabeefdgabfbggeabfcefgabfdffeabfefdfabffbgfabfgegbabfgfecabfggcdabgdbggabgefbgabgfdcgacaefggacbffffaccefffacdgfdeacebgegacefdgdacefgagacefgbfacffagfacffcfeacfgfafacgddgdacgdeeeadadgfgadcdfgeaddegedaddfgceaddfggaaddggbeaddggfaadebegfadebggdadeeeeeadeggccadeggdbadfcefeadfgcbgadfggadadgcggaadggcagadggdbeadgggacaebdfgeaecdgfdaecdggcaecggdcaedefgbaedfegbaedgdedaeeaegfaeeegebaeefffaaefcegcaefdfecaefebdgaefebfeaefgdafaefggbbaegbbfgaegccefaegdfafaegdffaaegfdebaeggbfbafaggagafbcefgafbgdeeafcedefafcfbffafcfcefafcgfafafddedfafddfgbafedddfafeeccgaffadffaffaegdaffbgagaffcgcdafffcceafffdafafgcbgdafgdbeeafgecagafgefadafggagaagaebggagagfddagbdfcgagbffbfagbffecagbfgebagbgdfcagccffdagcfcgcagdbgfcagdddeeagdeegaagdfebeageaedgagedageageddgbagefeeaagfacegagfcgdbagffafcagffbagagfgceaaggabffaggcfeaaggefacbadbgggbadefffbadffefbadggfcbaegfcfbaegfedbaffcegbaffgbfbafgbegbagceegbagdcgfbagfdfdbagggbdbbaggfebbbgcggbbccfggbbddegfbbddgfebbefgcebbegcefbbegfgabbfgceebbgagfebbgcgdebcadgfgbcbggdebcccggebcecgcgbceegfbbcefddfbcegefbbcfccfgbcfcgdebcffebfbcffeddbcfgdbfbcfgebebcgaeffbcgbfgcbcgddgcbcgeaegbcgeeagbdbeeffbdbfcgfbdbfffdbdccdggbdcedegbdcffcfbddcfefbddfbffbddgbdgbdefdfcbdegadgbdfbefebdfbgfcbdfcefdbdffgbcbdfgacgbdfgeaebdgbgagbdgdebfbdggdeabeafedgbeafgedbeagfgbbebdcggbebgfecbecebfgbeddedfbededcgbedfdcfbedfgbdbeedafgbeeeaffbeefagdbeegaeebeegdcdbefacgfbefaefebefcdgcbefgdccbegaegcbegbgcdbegceddbegddddbfacfegbfbbggdbfbdffdbfbfdeebfbfgafbfbfgebbfbfgfabfcfegabfcffcdbfcfgaebfdaegebfdddfdbfddedebfddgcdbfdefdcbfdgafdbfdgbbgbfecgafbfeeaefbfeebcgbfeebeebfegbddbfegdaebffdadgbffdagdbffdfccbffeebdbffefadbfffecbbffgddabffgfbabfgagebbfgcdagbfgcfccbfgdadfbgaebfgbgafgdcbgbafgebgbgfbdbgcaeffbgcagcgbgccdefbgccedfbgcdgbebgcgddcbgdadffbgdbeeebgdbefdbgdbgcebgdegdabgdgfbbbgeddbfbgeeaeebgeedcdbgefdaebgegbfabgfcfdbbgfdbedcaaggdgcaaggfecabgeffcacgdegcacgdffcadfgfccaedegecaeegbgcaefbgfcaeggfacafdgedcafffcecafgfebcagbgcgcagcgbgcagfccgcagfceecbbefegcbbgfeecbbggdecbcfdegcbcgegccbdgfgacbeaffgcbebfgecbeeddgcbefcfecbfdfdecbgcgagcbgddcgcbgegdbcbgfcgbccafdfgccagdgecccdgcgccceeefcccgeedcccgegbccdfeedccdfefcccdgbdgccdgfdccceaggdccecgbgccedbfgccedcegccfdagfccgcegbccgfcbfccggdbdcdaedgfcdafcgfcdccdfgcdccgfdcdcdgedcdceffccdcegbfcdcfeedcdcgbgdcdcgfafcddcdffcddcggbcdddfedcddecgdcddeegbcdefgdacdegfbccdfbcffcdfcffbcdffcbfcdfffcbcdgddbfcdgebcfcdggddacebegagcebegeccebfdcgcebgeddceccedgcecefcececegcdcecfeagcecgbeececgfdbcedafgdcedcgagcedgbgbcedgdbecedggcaceecfagceecgcdceeddedceeebdfceefebdceeffcbcefaefdcefbfcecefeccecefefadcefgacecefgdadcegbceecegcbcgcegcdcecegeddbcegeebccegfecacfaeecgcfaffagcfagfbecfbagfecfbdgfbcfbfffacfbgbdfcfccegccfcdddfcfcdgcdcfcfdgacfcfeebcfcgfbccfdacfgcfdbfdecfddbdgcfdeadgcfdefeacfdfgbbcfdfgcacfeadfecfeaecgcfeagddcfebagfcfedbgccfeffcacfegcaecfegddacffddebcffdfbccfffbafcfffccccffgccbcfgadcfcfgeaagcgacdffcgaeeedcgagadgcgbaeegcgbaegecgbdcdgcgbeceecgccfbfcgcdfcdcgcfbbgcgdcaegcgeaebgcgebececgecadgcgededbcgfaeagcggbebdcggdccccggeccbcgggcbadabfegedabgefedacgegcdacggfbdadgeeddaeaggedaedgbgdaeefgbdaeegagdaegddedafebgedaffcgcdagbgfcdagfcgbdagfefadbbfgbgdbbgcffdbbggagdbcebggdbcgddfdbdgcfddbebfefdbeeagfdbeebffdbefcgcdbfadgfdbfcddgdbfdeeddbfdegbdbffgdadbfgeccdbgcdgcdbgcfgadbgdbfedbggadedcaefdgdcbfgfbdccbgdgdccdegddccedefdccefdedcddgbfdcdeebgdcdeeeddcdgccfdceageedcebcfgdcefagddcegdbedcegebddcfafcgdcfbfdedcfbgagdcfdbfedcfgcbedcgbgfadcgdccfdcgdfaedcgedfadcgfeaddcggaagddacfffddacgdgddacggdddadfgdddaedgeddbefedddbgbdgddbgeceddcdgecddcecdgddcgfdbdddageedddbcgfdddbfcgddebeeeddegbfbddegebcddfaaggddfaddgddfbfecddfbfgaddfcgbdddfecfbddfedfaddgafbfddgbcgcddgdedbddgdeeaddgdfadddgfaagdeadcfgdeafbgedebbeegdebfdbgdebgfccdebggcbdedbggadedcecfdeddcfddeddeecdedgfbbdefafbfdefbdfcdefcdecdefecafdeffadddegadbgdegageadegbadgdegcddcdegdadedegfbbddeggbaddfabeegdfaccgfdfacdgedfadddgdfaedeedfafcdfdfbcegcdfbfafedfcaefedfccagfdfcdbgddfcegbcdfcfeaedfdaffcdfdcaegdfdccfddfddfccdfdedebdfdefaddfdfaeddfdfcbedfdfcebdfdgacedfdgddadfecagddfececddfedbdedfeebcedfeedbddfefeacdfegadcdffaedddffdabgdffeaecdfffadcdffgadbdffgbaddfgaedcdfgbbeddfgbbgbdfgbcbfdfgedacdfgfcacdfggbbbdgaecgcdgafdecdgaffccdgagcfbdgagfaddgagfdadgbcgcddgbfddcdgcafdedgcafgbdgcbagfdgccbdgdgccdbgdgcdcgbdgddcagdgeacfddgeafdcdgebbcgdgebgbcdgfagdadgfbeccdgfdebbdggadfadggaeaedggcabfeaacgfgeabbfggeabbgfgeabfggbeabgffceacefdfeadbfffeaddeefeadfafgeadfagfeadfbegeadffbfeaeagdgeaecedgeaedcegeaeebffeaeefeceaefccgeafdedeeafedgbeaffafeeaffbeeeafffeaeagfacgeagffdaebaddggebaedfgebaeeffebbegedebbgcfeebbgecfebcfdgcebdddgdebdeafgebdecefebdfaegebdgbcgebeffbdebegcddebfcddfebfcegbebfdccgebfdfebebfegcbebffdafebgcgaeebgddagebgebcfebgegacebgfdaeecaegbgecagcefecagecfecbcfefecbcggcecbecegecbedfeecccdgeeccedgcecceedeecceegbeccfgbdeccgcedecddddfecdeceeececgdceceeeebecefgbbecegccdecfadefecfafdeecfbeedecgbaffecgedbdecgeddbecgfbebecgfdadecggaebedabggdedadgededaegceedbcggbedbefgaedcafgdedcdefcedcdgcdedceageedcffeaedcgddceddbdgdeddcegbedddgaeeddebdfeddeeafeddgaedededcededeebededeegacedfafecedfbdededfcdceedfcfeaedfdbdeedgbcgbedgbdbfedgcdbeeeacdegeeafgdbeeagcedeeagcfceebcdgdeebfeebeecadffeeccdeeeecefcceeddbgceedfbbfeedfddbeeeceebeeedbdeeeedgaceeefcdbeeefdadeeefddaeeegbeaeefbaefeefbecdeefdddbeefedbceeffdaceegadgaeegafbdeegbacgeegbfbceegccafeegdgaaefacgecefadafgefaddeeefadeedefadgbeefbadffefbbdfeefbbegcefbcbegefbcdcgefbcfagefbcgbeefbdccgefbddgbefbedagefcadfeefcbdeeefcbecfefcdcedefcfebcefcffbbefdccgbefddbcfefdgcdaefedbbfefegcaceffcbeceffeafaefffaaeefgcbafefgeeaaegaccefegbdaefegbdbdfegbeaeeegbeafdegbedbeegbeeeaegcbbdgegcbbefegcbcdfegcbcgcegcfcbdegdaageegdacdfegdcacgegdddbdegdeabfegebacgegebbdeegebfcbegecfbbegeeaebegeebbdegfbacfegfcgaaegfddcaeggaafceggabceeggedaafaadgdgfabeeeffabfbfgfabgfgafacddgefacefgbfacgddefaddgecfadegebfadggadfaebedgfaecggafaefdgafaeffbdfafcfgafafdfdcfafgbcefafgcaffagdafefagfdaefagffcafaggdbcfbaedegfbafdfefbagfddfbaggfafbbbegffbbcffefbbgagefbcafegfbcaggdfbcdgagfbcegdcfbcegfafbcgcdefbdcfgbfbdeceefbdfagdfbdfedcfbdgdcdfbebeeefbeddedfbedfcdfbegdeafbfabfgfbfacfffbfadgdfbfaecgfbfcgeafbfdaeffbfebedfbffeadfbgbgdbfbgdcbffbgeagbfbggaebfbggcadfcaegagfcafdeefcafecffcbbcggfcbecdgfcbgbdffcbgfeafcccefdfcccgagfcdafgcfcdebeefcdfbbgfcebfecfcecccgfceeeaefceefcbfcefcfafcfagaffcfccbgfcffceafcffddafcgcagcfcgcebdfcgeagafcgfafafdaefecfdafbeffdafbfefdbcdeffdbcfdefdbefaffdbgbedfdcdaegfdcfagcfddbdcgfddbebgfddbgfafddceagfdddagdfdddfdbfddeebdfddfcbefddfecbfddgaddfdeaceffdeaebgfdeafcefdeagebfdedbcffdfdbecfdfdcdcfdfdgbafdfebfafdfecdbfdfefbafdgafdbfdgdabffdggacbfeaebeffeaffaefeagfcbfebbcegfebcbegfecbcgdfecfbecfedacdgfeddcddfedeebcfedfbaffedgdacfeeafdcfeeceaefefaebefefceadfefecdafeffdbafefgabcfegbabgfegbgbaffadgeaffaeafeffaefdbffbcfdcffbfecbffbgeacffcbefbffcbfafffccccfffccgcbffcddebffcfcccffcfdcbffcfddaffcgcadffcgccbffcgdacffdacdfffdaeddffdcbedffdcdbeffddcebffdeabfffebbgbfffabcffffacfbfffbcaffffbdbdfffdebaffgcebafgabeedfgabgdcfgadcbgfgaeadffgaedcdfgafadefgafccdfgbabgefgbagfafgbbdcffgbdcagfgbgccbfgbgeabfgcaefbfgcbdagfgcbdddfgcdcbefgcdgbafgceddafgdcadefgdcfacfgddagafgddbcdfgddfabfgeabcffgeaedbfgeafadfgebdccfgegcaafgfbabffgfbafbgaaddfggaaegfcgaafdfegaaffcfgabcffegacbeeggacdddggacdggagacgafegadcfedgadcgaggadcgcegaddagfgaeebgcgaefagcgaefcaggaegebcgafcbdggafcffagafdeafgagdcddgbafafggbagccggbagdcfgbbeffbgbccgddgbcecfdgbcefcdgbcfbfdgbcfeafgbdcfaggbdeafegbdebcggbdecfcgbdfbedgbdgbaggbdgbcegbdgfcagbdggabgbeabfggbeagecgbedadggbegbafgbfacgdgbfecdcgbgbbdfgbgcdafgbgdacfgbgdbgagbgecaegcabgdfgcacbgggcaeddfgcagagdgcbdbeggcbdbffgcbedgbgcbefcdgccfacggccgdccgcdbbgegcdbgfagcdcgeagcebcdfgcebecegcebeddgcebegagcecbdfgcececdgcedbcfgcedbfcgceddafgcefcdbgcfbefagcfbfeagcfdacfgcffbaegcffbeagcfgbadgcgaafegcgabcggcgabgcgcgacgbgcgaecdgcgdabfgcgdbbegcggbcagcggcabgdaggcagdbbbgfgdbcfddgdbeafegdccdfcgdcffacgddccgbgddcgadgddebddgddfbafgdeaecegdeccgagdeceaegdedafcgdeddaegdeeebbgdefeabgdfbagcgdfbdafgdfdeacgdgaebdgdgcaecgeabbfggeabeeegeadagegeafcecgeafdafgeafgcagebaggagebbcgdgebdccfgebfbcegebfcbegebfdccgecaedegececebgecfbcdgecgccbgedbdcegedcccegedcedbgedfbeageeabdfgeebbcfgeecbecgeedbafgeeefaagegabaggegaecbgegbceagegdeaagfaaggagfabdcggfadccfgfaeccegfaecgagfaefdagfagbfagfbccbggfbdddcgfbeagbgfbgaebgfbgdbbgfcbcbggfcbdaggfceecagfdbbbggfdcdaegfdcebcgfddebbgfdeccbgfeabbggfecagagfefbacgfegbabgffacebgffadaegffbabfgffcbeagffeabcggaagcdggabefbggacdagggadfcbggagcbcggbaegaggbccfbggbdfacggbebfaggbfbaeggccabgggccafcggccdeaggcdagaggcdcbdggcgbcaggdaaeeggdabcfggdacagggdacbfggdccaeggdeeaaggeacdcggebcdbggegaabggfbaebggfbbccgggbeaaaaedggfaaeffgeaaeggdfaaggcffaagggceabbgggeabcggdgabdgfdgabfeggcabfgedfabgbffgabgdeegabgeegdabggfddacdggbgacecgffacfegcfacfgeedacgbggdacgcffeadbgfdgadcegefaddfggbadecegfadegcdgadfeefdadfgaegadgadggadgdeeeadgffdcadggdagaecedfgaecffdfaecggddaedddfgaeddgdfaedgedeaeedgdeaeegbdgaefagefaefdbfgaefeedeaeffbfeaegaggcaegfdecafadffgafaffdgafaggcfafbedfgafccdggafcecfgafcfdfeafcgcdgafdeefdafdefdeaffbgbgaffeeddafffbgcaffffeaaffgcecafgbecgafgbfgbafgcbegafgfcagafgfcecafggacfafggddbagagefdagagfgbagbedegagbegedagbgefcagcbfegagcefbgagcfdgcagcffceagcgcdfagcgfbeagdbegeagdcdegagdebegagdecfeagdecgdagdfeecagebdegagedbffagedcfeageffeaagfafdfagfcagfagfcefcagfdbdgagfdfafagfebeeagfegdaagfgbecaggaffcaggbcdgaggbcfeaggbfddaggebbgaggfaedagggddababfggfbagebggbaggebgbbcgfefbbefbggbbfcfffbbfedffbbfedgebbfffgbbbffgcebbfgcefbbfgfbfbbfgfgabbgcgdfbbgfagfbbggceebcdegfdbcdfgedbceegedbcefddgbcfcdfgbcfedfebcfeeeebcgbggcbcgcfdfbcgfegabcgfgccbcggdagbcggdfbbcggecdbdcbggfbdcgaggbdcgcegbddddgfbddecgfbddfgagbddfgbfbddgfecbdedffdbdeeeeebdegdgbbdfbegebdfcedgbdfcgdebdfdgagbdfefecbdffdfcbdfgbdfbdfgfeabdgagcgbdgdeedbdgfecdbebceggbebdfffbecgddfbecgfddbeddefebedecffbedgccgbedgfafbeecegdbeedddgbeegagdbeegbfdbeegdcebefbefebefddgcbefdgcdbegaeefbeggdbdbegggbabfagdgdbfbcfegbfbfaggbfbgdcgbfcegfbbfddcegbfdeagfbfdedcgbfdedgcbfdfefbbfdfgbdbfdgbcgbfdgecdbfeaeegbfeccegbfeccffbfeddgcbfeeceebfeedfcbfefadgbfegdafbffbgddbffcddfbffddedbffdgaebffdgeabffecgbbfffebdbfgbfecbfgedfabgbaeggbgbcffebgbgbefbgbgbgdbgcceefbgcddgdbgcecdgbgcegbebgcfebfbgcgbdfbgddecfbgddfagbgdgadfbgecefcbgecgfabgedgaebgeeeebbgfbagfbgfcfafbgffagbbgffcdcbgfgbebbggaagfbggbefbbggbgaebggcgbcbggeebccabeggfcabggfecacegffcadgffdcaeagggcaecgffcaefefecaefgdecafcdggcafgecfcagagegcagcgcgcagdeefcageecgcagfcefcagfegbcaggeddcbaefggcbcegfecbcgbggcbddfgecbecgdgcbefgbfcbefgfbcbegcfecbfaggecbfgaegcbgdcgecbgdfedcbgefddcbgegdccbgfeagccbffgdccbgffdccbgfgccccedgfccdfffccceddffccefddfccfdcffccfedcgccfegbeccffeecccfffcdccfgaefccfggdaccgbgfcccgccffccgcegcccgffdbccggcddcdafffecdbgaggcdcfcgecddbggdcddfcgdcddffddcddgececdeaegfcdebgfdcdeecfecdegdddcdfbefecdfbfdfcdfcbgfcdgabggcdgccgdcdgcdgccdgdffaceafcgfceafegdceagegccebeeefcebgcefcebgedececfdgccecgcgcceddgcecedfefbcedgadgceeceeeceedebgceegbedceegeccceeggcacefcafgcefdfdccefedagceffedbceffeeacegdbfdcfaagfgcfadgcgcfafdefcfafeeecfagbgecfbffagcfcedeecfddfcecfecdcgcfedcgccfefbcfcfegbbfcffadfecffaefdcffdbcgcffdeebcffeaeecffecbfcffecgacffedcdcffefcbcfffccdcfffddbcfgagfacfgbdcfcfgdbbgcfgdfadcfggadccgaegfbcgafffbcgbadggcgbcggbcgcadgfcgcbfdfcgccefdcgcfafecgdfbdecgdgagbcgegaddcgegafbcgegagacgegdbccgfacdgcgfadfdcgfcdbfcgfdceccgfgccbcggaebfcggcdcdcggdbgacggeafbcggebcddaafgegdaafggedabeeggdacgefedadfefedadfgcfdadgecgdaebfgfdaeeffddaefecgdafbggddafefcfdafffbfdageffbdbbffefdbbfgdfdbcdefgdbcgcgedbdbgffdbdfdefdbecfgddbeegbfdbeegecdbfeecfdbfegebdbffeecdbfgbcgdbgcegcdbgeegadbgeffadbgggcadccgbffdcdeddgdcdfdgcdceeagfdcefebfdcefeecdcegefadcfbgdedcfcfdedcfdgafdcffcgbdcgcefcdcgeagddcgffdaddaedgfddafeefddagffcddbcfegddbcgfeddbggbeddcegagddcfcgdddcgdcfdddaggdddddgecdddgbgcdddgdbfddebfdfddecegcddecfedddeegbdddfecdeddfecgbddfefeaddffedbddfgacfddgafcfddgeeaeddggafbdeaafggdeafcffdecddfedecfcfddecfeagdecgeafdedafefdedbefededecdfdedffaedeedgaedefafdedefagagdefbbgedefdddddeffacfdeffcfadefgdbcdefgecadegbebfdegceebdegdfbcdeggcdadfafagfdfafgbedfbebffdfbfdeddfbgaefdfcdededfcdfgadfceeecdfcffdbdfdaeefdfdbecgdfddceedfdfeeadfeaffcdfebcefdfebcfedfecaffdfeedfadfegfbadffabegdffafbfdffbbdgdffdafddffdeaedffeagbdffgdbbdfgaaffdfgccecdfgcfaddfgdbbfdfgdcdcdfgdeaddfgdfacdfgebdcdfgecaedfgfbccdfgffaadgbbcfgdgbdgcddgbfddddgbgadfdgcfdcddgcgcbedgdafbgdgdcgbddgdegacdgdfbagdgdgcbddgdgdbcdgeafdddgebfcddgecbfddgeefacdgefcbddgfagccdgfbcdedggafbddggagbcdggagdadggdaecdggddadeacfcgfeacgegceaegbdgeaffeeceagbffdeageccgeagggbbebadeggebbgffcebbggecebccefgebdfcgdebebfgdebeccfgebedegcebedfgbebeebgeebeegbeebeegdcebeffbeebegecdebegfeaebfdfagebfeeagebfffccebgfedbebggbddebggdaeecaffgcecagddgecbggebeccceffeccdegdeccdffdecceedfeccefbgecddgagecdefgaecdgfaeeceaeegecebgfcecedagfeceeeddecefeafecegdbeecfbbfgecfbbgfecfddbgecfedbfecfeebeecffcagecfgabgecfgadeecfgaedecgbcgdecgefbcedaeedgedagdgcedbddffedbedefedbfafgedbfcfeedbfecfedbgddeedbgeecedccggbedcdcffedcdfbgedceddfedcgbgcedcgdfbedcggbceddbffdeddcdefedddgebeddgddceddgdfaedebdgdededaegedeecbgedeefbdedfbgebedfcegaedfedfaedgbdcfedgdbededgedbdedgfabfedgfgaaedggaafeeagbfeeeagddeeeagfebeebcfgceebedeeeebfddeeebffdceebgbfdeebgfaeeecdgafeececeeeecfgcbeecgbcfeecgfdaeedagfceedbfgbeedcdeeeedcecfeeddgaeeedebfdeedfbedeeefbeceeegcaeeefceafeefdceceefdebdeefffabeegabdgeegbafeeegfacdeegfccbefadegcefafdbgefbagcgefbfaefefbfbeeefbfdceefcccefefccdcgefcefccefcgbagefcggbaefdafgbefdbcfeefdbfbfefddcfcefddebeefdfaedefdggaaefeacfeefedacgefefebbefegdbbeffaeecefgaeebefgbbgbefgfbcbegabgedegadbegegadcefegadedeegafadgegbdageegbdceeegbdeceegbfgbbegbgcafegbgcbeegcdedcegcdfdbegcegcaegcffacegdadcgegdcbfdegdcgbcegdeabgegeaccgegeadedegebbcgegebcedegececcegeegaaegfabcgegfbdfaegfdcbdegfdeaceggbdcceggbeadfabcgegfabgdgdfabgggafacbffgfacefdffacggebfadagfffadcegefadeddgfadegbffadegfbfadgffafadggdbfaebffefaecedgfaecfeefaedcfffaeedgcfaeeegbfafbedgfaffbfdfagadegfagceedfagcgbefagdbeffagefaefagffdafagfgcafbbffedfbbgecffbcbfegfbccgeefbcegfbfbdebegfbdeefcfbdfbdgfbdgdcefbdgedcfbeagdffbeffaefbfcbfffbfcgaffbfdegafbfdfaffbfefeafbffcddfbffdcdfbfffbcfbfgdccfbfgfcafbgcfdcfbgegacfcadffefcbaeggfcbdegdfcbdffdfcbecegfcbfgebfccedfdfccfdgbfccfeagfcdcggafcdegdbfcebefdfcecgcdfcegcbefcfbafgfcfbbgefcfbfecfcfcaegfcfcbgdfcfccgcfcfceecfcfeccefcffcaffcffecbfcfgafbfcfgbbefcfgcccfcgbgaefcgcedcfcgdfadfdacegefdaefgbfdaegfbfdafbgefdafefcfdagcgcfdbffcdfdbgdgafdcadfgfdcafdgfdcbggbfdccedffdccfgbfdddfdcfdddgeafddefbdfddfeeafddgaedfddgbgafdebebgfdebecffdegddafdgaeecfdgbdgafdgdbecfeacbggfeafddefeafdfcfeafgbdfeagagdfeagcedfebaeegfebbfgcfebcfdefebdgbefebedgbfebfbcgfebfdcefebgcbffecagedfeccceffeccegbfeccgebfecfaeefecfbcffecfbedfedaefdfedbafgfedcdcffedcgdbfeddfccfededdcfedeedbfedefadfeeabegfeebcfdfeebfaffeebfebfeecaeffeecdbffeecdgafeeceaffeeecebfeeegbafefbgdafefeacefegadfbfegcdeaffafcbgffagbgbffbbdgdffbbfcfffbcdgcffbeafeffcbbffffcgecaffdbeecffdbfdcffdbgdbffddadfffdfbcdffdfbebffdfcaeffebebeffecbbgffegdabfffabgcfffbagcfffbfadfffgaadffgaacgffgdaebffgdcdaffgdfaaffgeaccfgabegcfgacgbefgacgfafgadffafgafadffgafbdefgafeccfgaggabfgbagecfgbcgccfgbeaeefgbgacefgcadcgfgcbbfefgcbfdcfgcbgdbfgccbeefgcfacefgdbadgfgddadefgddbecfgedddafgefbbcfgfbaedfgfbgbafgfdcdafggadaefggbcbdgaagfdegabafgggabecfggabfdgdgacdffdgacegcegacgbdggacgddegaddceggadddefgadgdbfgaedefcgaefccfgaegbdegafagbggafcfecgafecbggaffdebgafgacfgageeeagagfbaggaggabfgaggceagbabggegbadcgggbadfgdgbaeedggbafgfbgbagffbgbbcfefgbbgeecgbbgfafgbcaggdgbcdcgegbcedgcgbcfdcfgbcfgccgbcgcdegbcgdfbgbdafdggbdgdcdgbebceggbebefdgbebegcgbecgbegbedcgcgbfadefgbffedagbgdccegbgdeccgbgdedbgbgfaddgcaaegggcacgfdgcadffdgcafafggcafebggcbcffdgcbcgdegcbdcgegcbdefdgcdafdfgcdcbeggcdcgbegcddceegcddgdbgcdeecdgcdefeagcdgbcegcebagfgcedbfdgceeccegceedfagcegbdcgcfbdgbgcfbgccgcfdbcfgcfdebdgcgaceegcgbeebgcggabdgdacbgggdacggbgdafceegdaffbegdagfdbgdbbefegdbebfegdbeeecgdbeegagdbffaegdccfaggdcedddgdcfcbfgddafbggddbegbgddcgccgddebfcgddecbfgddedebgddfdeagddgbcdgdebbefgdedbfcgdeeddbgdefebbgdegcbcgdegdbbgdfafafgdfagbdgdfbcfcgdfceccgdgagadgdgbadfgdgdfbageabfdfgeacefdgeaeefbgeaegaegeagbgbgeagcddgebbfbggebbgaggebcbffgebebeegebgcdcgecagcegecbcefgecbegbgecgbafgedbfdcgedcdcegedcgdagedfbfageeccaggeeccgageedabggeefdacgeegcbbgefadaggefbdfagefdcaegegaeeagegbabggegceacgegdbeagfacafggfacecfgfadebfgfadfcdgfadfdcgfadgaegfadgccgfbaeeegfbbeedgfbcgbdgfbfcebgfbgbbegfcaecfgfcaedegfcccedgfccgdagfcdcfbgfcfaddgfdaaffgfdafbegfdcbedgfeadecgfedafbgfeddcbgfefbcbgffafadgffcaddgffcdadgffecacgffeccagfgacfagfgaebcggadafeggagdbcggbacgdggbaeedggbbgaeggbbgccggbdbbgggbebagggbeccdggbecdcggbgadcggbgafaggcagbdggccagcggccbbgggcdccdggcfafaggcgdabggdbcfbggddddaggeadcdggebebcggfagbaggfbbafggfcebaaagefffabeegffabffffeabgegdfaceggfcacfdgefacgeffdacgegdeadcegffadcfefgadefdegadffbgfadffdfeadgcffeadggdbgaecegdgaedeegeaedgbfgaeeefdfaeegbgeaefebfgaefegecaefffecaegafffaegagefaegccgfafbfffeafcfbggafcfdffafdbgffafebefgafecfefafedeefafefcgdafegbdgaffbeegaffcfgcafffddeaffgbcgaffgbfdafgdfagafgeddeagageefagagfeeagcbfgfagcfdefagddcfgagddgcfagdfddfagdfgfaagdgbfeagegfccagfacggagfbgcfagfdecfagffgcbagfgddcagfgfdaaggbgagaggdfebaggffbcbacfgfgbaedfggbafffefbafggcfbaggfedbaggffcbbedgegbbegfdfbbfgdefbbgdgfdbccfefgbccgcggbcdggbgbcecgffbcfeggbbcfgbgebcfgfgabcgceegbcgdgdebdbgdfgbddedgfbddgcgebdecgdgbdefdefbdefeeebdfagffbdfgbgdbdfggeabdgagdgbdgdddgbdggdagbeafegfbecfdegbedagfgbedefgcbedgcefbedgfecbeecdfgbeedfdfbeegdedbefdedfbeffgaebefgafebegeccgbfbbgfgbfcgfcebfdddffbfddefebfeeecfbfeeeedbfeegdcbffafdgbffffaebffgafdbfgaggbbfgcgbebfggbgabfggdaebgaedgfbgaefgdbgbfcegbgbgbgebgccfefbgcdcfgbgcfbgebgdfbdgbgdggadbgeccegbgedebgbgedgbebgeecgcbgefeafbgfbaggbgfcdeebgfcfddbgfdfbebgffbbgbgffcfbbggcfcdcaagfggcadgeffcaedgegcaefgcgcafggbfcagegdecagfdfecagfffccbbfgegcbegfcfcbfafggcbfcgdgcbffcegcbffdfecbggaffcbgggbdcbgggeaccaeggfccbcgggcccdeggcccdgffcccfgeeccdffcgccdgfgbccfceegccfdfeeccfgaegccfgdbgccgbfefccgcedgccgcgfcccgfdfccdbfffecdcgggacddefgccddffcfcdedegdcdedgdecdeebgfcdefcdgcdefgcdcdegdcfcdegffacdfbggccdfdggacdfeagfcdffdcfcdgfecdceafgfdcebdfegcebdfgececgcfecedbggdcedfbegceeeafgceffbfdcefgecccegbfedcegfbedcfacgffcfaeeffcfaffdfcfbfdfecfbgbegcfcdfcgcfcecgecfcfafgcfcgcdfcfdefbfcfdfgcccfdgdfbcfecddgcfececgcfeeaffcfffcddcfffdebcffffcbcfgddagcfgdeebcfgeecccfgfeadcgabgffcgagcefcgbafgfcgbeaggcgbfdcgcgcdecgcgcdggacgcgeebcgdbcfgcgdbdffcgdbfeecgdgccecgeagbgcgedagecgedcgccgedegacgefagccgefbbgcgeffdacgegabgcgfdfdbcggbaffcggceafcggdcddcggeafccggefaccggfcaecgggbeacgggdacdaagggedadbgggdadefegdadegfedadgdegdadggbgdaeeggcdaeffgcdagdfgcdageffcdagfbffdaggbfedaggbgddbafeggdbbeeggdbcgfdfdbddgfedbdfcgfdbdgfgbdbeeegddbegfecdbfdfgcdbgcdffdcaffgedcagegedcaggcgdccdgfedcdcdggdcdcggddcddeegdcefffbdcfagdgdcffagedcgcddgdcgfccfdcgggacddbgdefddbgdgdddcddgfddcdfefddcfcegdddcgcgdddegbfdddfeeddddffcedddggbdddeadggddedbfgddedddgddefgeaddfcggaddffeafddfgdebddgaegdddgbaggddgbfdeddgcbffddgdfdcddgffdadeaffgcdebefdfdebeffddeccgcgdeceaggdeddgecdedgdagdeecgagdeecggadeedfagdeeegdbdeegccedefdaffdefdccgdefdcdfdegbbegdegcfcddegfcfadegfddbdfaffbgdfbegfbdfbgecedfcbgdfdfcddfedfcgceddfdadfgdfdcffcdfdddgcdfddededfdfgaddfeadegdfecfdddfedebfdfeebdfdfeefbddffbeeddffcgdbdffdddddffeafddfgbbdgdfgbdeddfgbfdcdgaceffdgadgeddgafcefdgafdeedgaffgadgagebfdgbagdgdgbedcgdgbggaddgcaeffdgcbfeedgcdeeddgcefebdgdbfbgdgdbfcfdgddaffdgdddgbdgeaaggdgeaegcdgedccfdgedcfcdgeddgadgefddbdgegddadgfacdgdgfcgaddgfdcfbdgfebfbdggbceddggccfbdggcfbcdggdedadggedbceacggbgeadfdegeadgfgbeaecfegeaeegbgeaefgceeaegcfeeafffeceafgegaeagccgfeagcgbgeagdefdeagdgbfebaeffgebaefgfebbfeffebbgeefebdffcfebdfffcebeecffebeffagebeggdbebfagefebfdbgfebfgbgcebfgeafebfgecdebfggadebgaffeebgbdffebgeceeecafgdfecagffdecagfgcecbegdfecbgedfeccggfaecddefeecddfcgecdfedeecebeegecebgfdecedbgfeceeeedeceefbfecfbgedecfeefbecffedcecffgcbecgdageecgegadecgffdaecggbddecggcfaedaffeeedbedegedbfefdedbgdeeedbgfgaedcbfgeedceedfeddebegeddecdgeddgdbfedeafefedecaggedeecfdedeedcfedefccfedegaeeedfafgcedfbgddedfbgfbedfegadedffcddedfgdbdedfgecbedgcffaedgdbcgedgddddedgedbeedgfcdcedggdcbedggeaceeaffedeebaffgeebffageebgeceeebggeaeeccdffeedaeffeedebgdeedeeddeedgcddeeecgfaeeeecbgeeeeeafeefaggaeefcddeeefdecdeefdfdbeefebfceefgbfaeefggaaeegaagfeegcadgeegccbgefaaeggefadgdeefafcdgefaffddefbeecfefbgbfdefcaeffefcdbgeefcddgcefcegbdefcfcbgefcfdecefdafcgefdagfcefddccgefdeadgefdecgbefeafdeefebcdgefebgcdefebgdcefeceddefeeafdefefccdefefddbefegceaeffbgaeeffccbgeffdcfbeffebageffgadceffgaebeffgccbefgbafeefgcbfcefgeceaefgeebbefggdabegacefeegaeeedegafbfeegafeddegbbfeeegbbffdegbcgbfegbegaeegbgafdegbgcecegccafgegccbgeegcgcdcegdaeeeegdbgdcegdcfafegddbfdegddcedegdddbfegdebbgegdedcdegdgafbegebegaegecbcgegedagcegeebecegeecafegegcadegfadedegfafdcegfbfbdegfebafegfeeaceggbcageggbcgaeggdbafeggeebafaaffgefacfcgffacggecfadcgeffadegbgfadffcffaeffcefaegagefaegfaffafdecgfafegcdfafgagdfafgefafagdcdgfagdgebfagefaffbaeefgfbagefefbcfbfgfbcgfcefbdbfegfbdcfgdfbdddegfbdgdgbfbecgcffbefeagfbeffdcfbefgdbfbegdecfbfaggcfbfcddgfbfcgbffbfdfcefbfebdgfbfeeagfbfgcddfbfgeccfbgcbegfbgegadfbgfafdfbgfbgbfbgfcfbfbgfdbefbgfdcdfbgfeaefbgfedbfcbaggffcbefdffcbfgcefcbggdcfcccefffcceggafccfebgfccffcefccgecefcdageffcdggdafcebcgffcedafgfcedgfafcefcedfcfadgefcfcegbfcfedddfcfedgafcffagcfcffdebfcffgcafcgcagefcgdfccfcgeeccfcgfdccfcggfbafdacgdgfdadefffdaebggfdbebgffdbegcefdbffddfdccedgfdcegebfddbgedfdddedefdebcfffdebdfefdedafffdefaeefdegddbfdfaaggfdfbdgcfdfbgfafdfcfebfdffedafdgacdgfdgaddffdgaefcfdgbcfdfdgccdefdgdbfcfdggdacfeaagegfeabfgefeaccggfeadfcgfeadfdffebdgddfebgaeffecbdgefecdddffecdfcefedaegdfedcbegfeddccgfeddecefeddfaffedgccdfeeafgbfeebafgfeebcfefeebddffeeggaafefafagfefbbgdfefgcbcfefgdcafegadedfegbcdefegeecafegfcdafeggbadffabegeffbcdefffbecfdffcacfgffcafgcffcagcfffcccgdffcfdfaffcfgcaffcgcbeffdbafgffdbfbfffdbfddffddcbgffdfadeffdfeadffeacefffeagebffebbfeffedcgaffeddebffefcaeffegabeffegcbcfffbfccfffbgadfffeacefffecaefffgbadffgaadgffgabfdffgaebeffgcgabffgeafafgadgbefgaeffafgagdaffgbacgffgbaedgfgbcgebfgbeaeffgbeeaffgbfcfbfgcafdefgccafffgcdcedfgceacgfgcfbbffgdaceffgdbaegfgdbfebfgdcagdfgddedbfgebfaefgedabgfgedddbfgedgabfgegcbbfgegdabfgegeaafgfabfdfgfadbffgfcddbfgfecbcfggacfbfggbeadfggccbdfggcecafggfbcagaccefggacedgegaceggbgacffdegadgebfgaecgfcgaeeeedgaegcbggafaeffgafageegafdafggafeceegagagfcgagcgbegageagdgagegadgagfeaegbagbfggbbcdgggbbfagggbccdfggbcedefgbcefbggbcgaeggbcgceegbdbegegbdfaeggbeaggcgbecdgdgbecfgbgbedcdggbedcefgbegfdagbfdefbgbfeadggbfedddgbfeebegbfefaegbfggabgbgbcgdgbgeagcgcacfgegcbegbfgcbgcdfgcbgceegcbgdgbgcbgecegcccbgggccddfegcddfaggcdedcfgcdeecegcdffeagcdgbdegcdgbgbgceaffdgcebgfbgceebdfgceedecgceefdbgcfaedfgcfceddgcfeacggcfgebbgcgaebggcgbgccgcgcgbcgcgdccegcgdeaegcgfgaagcggacdgdaaegggdabgfegdacgfdgdaegaggdafcfegdagfebgdbbgdfgdbcegdgdbdgbfgdbfcgcgdbgebegdcedbggdcegbdgdcfdaggdcfecdgddcgcdgdddgaegddebcggddgdccgddgdeagdeeadfgdefaedgdefbaggdegcaegdfbaeggdfcdcegdfdafdgdfdeaegdffabfgdgaecegeacefegeadfdegeafagegeafcgcgebdecfgebdfgagebeagegecadgegecdgbdgecebdfgedfcebgeeaafggeebgaegeecdecgeecgbcgeedacggeeebfbgefacgcgefafafgeffaafgegadaggegbbdegegbcddgegbdbegegcacfgegdbcdgegebdbgfaacgggfacbfggfafafegfbfadfgfcbafggfcbdcggfcbfaggfcbfgagfccdedgfcecbfgfcgbbegfdaebggfdbgbdgfdeaedgfdegabgfdfacegfeaaeggfecafdgfecagcgfedagbgfeddbdgfeecaegffbcbfgffbfcbgffgcabgfgaccegfgagbbggaagbgggadcgcggaeagdggaeeafggaegbcggbbdcgggbecbfggbfbfbggbgaecggbgbdcggcafceggcbeceggcbfdcggccdagggccfccggceaedggcebddggddaedggdfacdggecgbaggefbcbggfabfcggfcfabggfgacagggaedagggbbbegggbeacgggdbbcaafggefaagggfdaaggggcabefffgabggeefacedggfacfgdffacgbggfacggfcfadedeggadefeffadegbggadeggdeadfcggeadffgcfaebdgggaecgdgfaedfeegaedgefeaeedgdgaefgeedaegdefeaegfcfeafcfegeafcgefeafdggecafeeeefaffaffgafffafgafffgcdafggagdafgggbcagagfgdagbdgegagbfffeagbggbgagddgdfagebfgeagebgdgagecdfgagfddgdaggaegeaggbgdeaggdcefaggfbcgagggaeeagggdafbaffegfbagfdgfbaggefebaggfdfbbdgegfbbdggfebbfgdgebbfgeefbcbfggfbcddgfgbceffdgbceggfcbcegggbbcfdgdgbcffdegbcffgedbcfgaggbcfgfdebcgfgcebdbggfebdcggfdbdegggabdffefdbdfgcgdbdgdfdfbdgfgdcbeafggebebggdfbeefcgebeegbffbefdeefbefgbefbefgeddbegcgdebegefddbegfdbgbfaegffbfbcggfbfbeefgbfbfgfdbfcdgdgbfcffeebfdcggdbfeafgfbffbegebffbfgdbffdaggbffdfcfbfffaegbfffffabfgafgdbfgbgbgbgagfeebgccgdgbgcdggcbgcegedbgcfggabgcgebgbgcggfabgdegbfbgdggbdbgebeffbgebffebgefdgbbgefgaebgfaeegbgfdddfbgfeeagbgfeeecbgfegeabgfgcbfbgfgdcdbggaegdbggbffcbggbfgbbggcecfbggcgebbggecfcbgggbgacaaggggcacegggcaefgdgcafgefecaggbgfcbeffefcbegfdfcbfeeffcbfeegecbgfgbfcccdggfcccgdgfccdgedgccegcegccegcgeccgefdecdadgggcdcdffgcdcfgeecdgagdgcdggfcccecfgcfcecgggacedfgeccedgbegceedffdcefedcgceffebfcegeaegcegeececfafffecfbfbggcfbgbfgcfcgegbcfcgfeccfddcfgcfdgccgcfecgfccfedcffcfededfcfedffccfeeagfcfeefddcfeegafcfefdbgcfegbfdcffbdegcffcbgfcffcfgbcffdfagcffefafcfffaefcfgagfccfgfbdecfgfebdcfggcafcgbddgfcgbdfefcgbdgdfcgbefgccgbfecgcgbfeeecgbfegccgbgebgcgbgfcecgcgcfdcgcgcgccgddeeecgdeagfcgdgdbfcgeeceecgfadffcgfbcffcgfccdgcgfdcgccgfdececgffdcdcgffedbcgfgacfcggagagcggdafecggdfbdcggdfdbcggecbfcggeeeacggfbgadacdgggdaceggfdaegggbdafbfggdaffgeddagfaggdbbfgegdbcdfggdbeedgfdbefdegdbfgdgcdbgfgafdbggffadcbffgedccgegddcedeffdceeeefdceefdfdcefeeedcfggbddcgdeeedcgfceedcgfdcfdcgffcddcgfgdbdcggdbfdcggedcddbffefddcedgfddceeffddcfbggddcfgcfddcggcedddgcefdddgfecddedgdeddegaegddfafegddfddfeddfdfbgddfgcfcddfgdbfddgafgdddgdbgeddgdecfdeafegedebgcegdebgddgdecfdgddecfeeededgfcddeeecgddeefbfedeegbcgdefagfddefbdegdefbgbgdefeeecdefefbedeffecddefgacgdefgcgadegaggbdegcdfddegcfbfdfbeedgdfbffbgdfcegbfdfcegdddfdbfefdfdcggbdfdgdbfdfeafgddfebggbdfecgbfdfedcgddfeegccdfeffbddfegeccdffcgcddffcgdcdffeeafdffefbddffefeadfffccedfffeccdffgbfbdffgcafdfgbfcedgaefeedgbbgefdgbdcfgdgbegecdgccdffdgcecefdgcefcedgcffebdgcggdadgdbbggdgdbedgdgdbeefdgdcbgfdgdcffcdgddcfedgdeedddgdfdgadgdgdafdgebfgbdgfbecfdgfbffbdgfcdgbdgfcfbedgfcfcddgfdaefdgfdccfdggbaegdggcaefdggdcdddggeagbdgggafaeaccgggeacgdfgeacgfgdeaddeggeaddffgeadgfdfeaeeegeeaefbggeaefgfceafdfdgeaffedfeafgcdgeagfagfeagfgafeaggceeebbffffebbggfdebcfdfgebcfeffebdgfbgebeedffebegfagebfcggcebfdgedebgbeegebgcdffebgfeddebgffdcebgffebebggaefecafegfecbegefecbggbgecceeffecedgedecegdfceceggeaecfcgbgecfddgdecfdfdeecffbefecfffafecfgdgaecfgecdecfggbcecfggdaecgeaffecgeccgecgeeddecgeefbecgfedcecgggacedafgfdedbdggdedcgbegeddagegeddfecfeddfefceddffddededbfgedefaffedeffcdedegecdedfbgbgedfcddgedffdagedgdeagedgeecdedgfdafedgfeaeeeaegcgeebfeeeeedcfcgeedgfeaeeecbgfeefafgceefbddgeefdeceeefgabgeegafcfeegddbfeegfbeceegffcaefadgcgefafeeeefafefdefbefedefcbeffefcbggcefcebgeefcefgaefcfageefdbfcgefddffbefddgcdefdebdgefdfcedefdgbbgefdgbfcefdgeaeefeefbdefeegadefeggbaeffaddgeffececeffedebefffbfbefffddbeffgaeceffgbdcefgafceefgagcdefgcebeefgebagefgeccdefggfaaegabfgeegacegeegbbgdfegbecdgegbffbeegcadfgegcebfeegdbfbgegdcafgegdccdgegdcdeeegdcfbfegddaffegddbdgegdfacgegdfbgbegdgedaegeaddgegebbffegebeedegecfdcegedgadegefbagegefbgaegefcfaegfgcbceggadcfeggageaeggbafeeggdbageggfaaffaafeggfaagfegfabgfeffacdggefacfcggfacggcffacggfcfadeeegfafdffdfafefcffafgbfefafggccfagdfbgfagebfffaggagdfaggbfdfbadggffbbbgggfbbfgcgfbbgfeefbcefgdfbceggcfbdbgfffbdebggfbdeegdfbdffbgfbdgfddfbecgdffbefceffbfedfdfbfeedefbfeefcfbffceefbfgeebfbgbggbfbgcbgffbgccegfbgdefcfbgdfgafbgfccffbgffaefbgggbbfcaegfefcafgeefcafggcfcbdgdgfcbffeefcbgdfefcccdggfcccfegfcccgfefcceeeffccfeeefccfffcfccgeedfccgegbfcddedgfcdeeeefcdgeecfcebfdgfcedefdfcefeagfcegcgbfcegdfbfcfdfecfcffafefcgagbgfcgbaggfcgbcgefcgbgagfcgfbdefdaeefffdafdegfdagcegfdbgecffdccegefdcfegbfddcgcffdddcfffdddfedfddefcefddefddfddfccgfddgbfdfddgcedfddgfbdfdeagdffdeageefdebfdffdegcbffdegfdafdgbfecfdgdcedfdgebfcfdgeeccfdgegbbfdgfdeafdggagafdggbaffdggbfafebeaggfebebfgfebefcffebefdefebgfdcfeccdgefeccfcgfeccgdefeccgfcfecdbfgfecefbffecfagefecgedcfedededfedfcdefedfdcefedgfadfeeadgefeecefcfeecgebfeeddedfeededdfeeedagfeeedgafeeeeebfeefeeafeegcaffefbecffefccdffefcdfcfefeadffefeedbffafebgffbdbgfffbdegcffbeafgffbecefffbeecfffbfddeffcdegbffcfgdaffcgcfbffdbbfgffdcbegffdcgbeffdegdaffdffdaffeacegffeagddffeceagffeddgafffabfffffecbeffgabdgffgccceffgcdbefgaaegffgabffefgaeefcfgaefcefgbagfdfgbcfgbfgbgeccfgbgeeafgcfagcfgdacfffgdaedffgdbebgfgdbedefgdddfbfgdfcebfgdfdaefgeaafgfgeabfffgeagdcfgebcfdfgecadgfgecfaefgedfdafgefagafgegabefgegbeafgegeabfgfaafffgfbccffgfcdaffgfdbecfgfdddbfgfeafbfggabgcfggdbcdgabgegdgaccfgfgaceegegadgfddgaefefcgaegaeggaegddegafbfefgafbgdfgafdbgfgafdddggafgcdegafgfbdgagbegdgagbffdgagcfcfgagefdcgbadfgfgbaegefgbbdgdggbbfffdgbbgfbggbcbgeggbcdggcgbcecfggbcfefdgbdeagggbdedefgbdfdeegbdgbgdgbdgcgcgbecfcggbegcedgbegdecgbeggadgbfadgfgbfagdfgbfdagfgbffdcegbffgbcgbfgadfgbgebeegbgfcfbgbgfgacgbggcbegcabfgggcaefefgccaegggcddeeegcdefbfgcdfbfegcebcgfgcedfgagcedgebgceeeddgcefdgagcegccegcegcgagcegddcgcfcgcdgcfdgaegcfebgcgcfeeafgcffdcdgcfgagbgcfgeadgcgbagfgcgddfbgcgeadfgcgfbfbgcgfbgagcgffbbgcggddagdaafgggdadggcgdbaffggdbdgdegdbeddggdbedefgdbgcdfgdcbdfggdcfeddgdcffdcgdcgfeagddegaegdeafcggdebfdegdecfddgdfddecgdffecbgdffedagdfgdadgdgccfcgdgeafcgdgeedagdggdacgeafagfgeafbeggeagbfegeagbgdgeagdcfgebeafggebfbdggebfdcfgebgcedgecafgdgeccdfegeccfcfgecddcggedccgdgedcdcggeddgeagedfeaegeebebggeeceaggefaebggefcfaegefecdcgeffeacgefgaebgefgbdbgegbcedgegbgdagegcbfcgfaefaggfbebdggfbfcgbgfbgbedgfcaegdgfcagfcgfcccdggfccefcgfccgcdgfdadgdgfdaecggfddcfcgfdefadgfdfafcgfdfdeagfecafegfedgbbgfegdcagffaaeggffabfegffadcfgffbdgagffeabfgfgaecdgfgafeagfgbeaegfgdfabggabeefggagdbeggbbffcggbcedeggcacgeggcbfddggceedbggcefcbggcegbbggcfdccggcgaddggdcfbdggddacgggddcecggddedbggdfbebggeadbgggeagccggeccgaggefbdbggegbcbggegeaaggfaeebggfafccggfbdebggfbdfagggabdeabgegegadcfggfadeeffgadegggcadfdfgfadfggbgadgffdfadgfgedaecefggaedgdfgaeedgegaefdgdgaegagfgaegdffeaegedffaegfbgfaegfedfaegffgbafbgdggafdefegafeegeeafegcegafegcgeafegegcaffcgfeafgfcefafgffddafgggdbagbgeegagcegfeagdcggeagdedgfagdgdgdagdggagagebggeagedgeeagefgceagegffbageggcdaggafffaggbfefaggdfgbaggdgceaggeegbaggfccgbbefeggbbegdggbbfefgfbbggeefbcegcggbcfgeefbcggcegbddggdfbdfefdgbdffgfcbdfgggabdgfedfbefcfegbefgffbbeggbefbfadgggbfafffgbfbgeffbfcdgegbfcgefebfdcffgbfdedgfbfdgcffbfedeegbfedegebfefecgbffcgeebffdffdbfffdeebfffdfdbfgdgddbfgfefbbfggdgabgcgfdebgdgafgbgedgdebgeefdebgeggaebgfcdffbgfefcebgfgdagbgfggbcbggbgfcbggdbgebggdgcdbgggeaecagfegecbeggeecbgegfdcccggefccdgfgdccfefdgccfffgcccfgefdccgcgdgccgcgefccgdgfdccgfedfccgggcdcdfegdecdfgafgcdfgdeecdfggbecdgbggdcdgefgbcdgfcefcdgfdeecdgfdgccebdggfcebfefgcecfggccecgfeeceebgegceefgcecefcdfgcefefedcefgfafcegbfefcegdeeeceggcedceggefacfbdeggcfbgggbcfccgegcfcggbfcfdedffcfdgbgecfdgfgacfecdgfcfeffagcfegaegcfegefbcffdcffcffedfdcffgbgccffgeafcfgcbgfcfggccecfggdfacgadffgcgafegecgagffdcgbcggecgbfgfccgcegbgcgcfeeecgcgffbcgdcffecgddedgcgddgbgcgdebfgcgdgfbecgdggeacgebggccgeecdgcgeeecfcgefddecgegcgbcgegeafcgfbgbgcgfccegcgfcfedcgfdagfcgfeaffcgffcbgcgffefacgfffdbcggagdecgggbfbdacgggedafeefgdafefegdafgfcgdafggfcdaggegcdbddfggdbdgeffdbeeefgdbefeegdbegedgdbffdgedbffffddbgecgfdbggcefdbggfgadcbdgggdcdedggdcdegdgdcefefedceffgcdcffbgfdcffgfbdcgcgcgdcgdgbgddbeffgddbgfgdddcgeefdddcfgfdddgegcdddgfcfddebgffddeefeeddeeffdddfcgeeddfdcgfddgbgfdddgccgfddgcdegddgeefcddgfageddggfeadeafgdgdeageffdeagfefdebdgegdecegfddecfgcfdedddfgdedfggadeecgdfdeefbffdeefcfedeeffgadefbffedefdfdedegcgfbdegddfddegdeeddegdegbdegebgddegfdagdegfeebdegggbbdfaegdgdfbegdfdfbfedgdfcaggfdfcbffgdfceefedfcegcfdfdeffcdfdgagedfdggaedfeagfedfedffcdfeeeeddfeefcedfefagedffaegedffdecfdffedcfdffeeecdffffbddffgbfcdfgbgagdfgeeebdfgefccdgaeggcdgbcfffdgcdfgcdgcgefbdgcgegadgcggccdgdaggddgdceefdgddcegdgddgagdgdfeecdgdfgdbdgebdffdgebfeedgecbgfdgecdfedgedebgdgefdecdgfbgfbdgfcfgadgfdbfedgfebcgdgfebfddgfgbgadggadefdggcccgeadffgeeafcffgeagefdfebccgggebefefeebfegcfebgddgeebgdgfcebgefcfebgfagfebgfefcebgffecebgfgcdecaeggfecbfgdgecddgfeececefgeceefdfeceegedecefbfgecefefdeceggafeceggbeecfdggbecgafffecgdedfecggcbgedcggecedddgeeeddedgeeddefgceddfddgededgfcedeeedfedeegceedfafegedffffaedfgdeceebggddeedbgfeeeddedgeedegageedfedeeeebcggeeeecfeeeefdedeefeccgeefgcceeegdfcdeegdfebeegffcbeegffdaeeggabgeeggbagefabggfefagdefefbfffcefbfggaefbggebefcagffefcdfeeefcgeceefdedcgefdefddefdfddeefdfeddefeagdfefebfdfefecaggefecgagefedgcdefegdebefegfdaeffbfcfeffcdcgeffcgebeffdffaeffebdfeffefeaefffcecefgaaggegabggeegaeegdegaffgbegbdfeeegdbffdegdedfcegdfbgcegecdfdegedcgcegefbcfegegfcaegfafdeegfdfbdegfebbgegfeeaeegffccdegffdeaeggadfdeggagdceggdbgbeggebecfacdgfgfacgggcfadeegffaefgfcfagbefgfageeeefagegddfagfagffaggegafbcfdgffbcgegdfbdgdgdfbecggdfbeddgffbeecgffbegefcfbfbdggfbfebgffbffceffbffddffbfffagfbgdbgffbgedgcfcddcggfcdfgcefceagegfcecegefcefgcdfcefgfafcfbfeffcfdgagfcfgfccfcgeeecfcgfcdefdaggedfdcdgfdfddceegfddcgeefdddedgfddfafgfddgfaffdebdfgfdedcgefdefgccfdegeebfdfaefffdfeccgfdfefcdfdffdecfdffebefdfgebdfdggdbdfeafdegfeaggcefecdcfgfecdggbfececgefecgfaffedddgdfeddeeefedeefcfedegcdfeeagcgfeebgedfeecaggfeecdeffeeddcgfeeebgdfeefecdfefabggfefadegfefcffbfefdeecfefeedcfefgcbefegdcdefegfbddfeggaecffabgffffbaeggffbdgbgffbebgfffcaefgffcafgeffcbgfdffcdcegffcedgcffceffbffcgcbgffdceeeffddegbffdefebffdgbdeffdgeaeffeabggffeaffdffecddfffeebgcffeeebeffeeeebffefcceffegaedffegddbfffbedefffccdffffcfbeffffbddffgadgcffgaedeffgagafffgagbeffgagfaffgfceafgagfbefgbagdgfgbdddgfgbegbefgcafdgfgcbbggfgcbedgfgcbgedfgcdagffgceeagfgcgafdfgdbfcffgdccdgfgdcgebfgddddefgdebcgfgecdedfgeebbgfgeeddcfgfaddffgfaefcfgfbeddfgfceaffgfcgdafgfdcfbfgfdfcbfgfebecfgffabffggaegafggbfdbfggcbedfggdbagfggdbddfggeacefggecdbfggefabfgggbcbgabdgfggabeffggabgcgggaeefgcgaefcgegaefecggaegfecgafceffgaffcdggaffeedgafgfebgafggdbgagfagegagfbdggagfeaggbbffdggbdefeegbdfgbfgbebdgggbeccgggbedfdfgbedffdgbedggbgbegcgcgbfagdggbffbgdgbgafgdgbgebgdgbgfdgagbgfgdagbggbfcgcaggcfgcaggdegcccgdggccgefcgcddefegcdfdeegcecdffgceddefgceddfegcegdcegcegebegcfcecggcfcfcfgcgbegcgcgecedgcggbecgdagbgfgdbafgggdbbggegdbcegfgdbggafgdcbggdgdcffaggdcgefbgdcggaegdcggeagddebeggddfdcfgdefcgbgdfaegdgdfddbggdfdgdbgdfebeegdfebgcgdfeecdgdfgcafgdfgeadgdgdbgcgdgfbaggeafbfggebbgdggebcgfdgebdedggebeecggebefbggebefdegebfafggebfcfegebffcegebfgcdgecaegfgecbfgdgecfagegecffdcgecgdaggedcbgfgedcedfgedeeecgedfdddgedfdfbgedgdbegeecbeggeefcddgeegbddgefbbeggefdafegefdccfgegadeegegcgadgegddafgegfdcbgfadfgcgfafdgcgfagdfcgfbafgegfbcfdfgfbedfdgfbgefagfcebdggfcgeccgfdaeefgfdcefcgfdcgebgfebedegfecgbdgfedaefgfedfccgfefgbagffadcggffagbegffddebgffefbbgffgbdbgfgcadfgfgdagbgfgfacdggabfdgggadgbfggaefbfggbbdegggbcfdeggbdegbggbdgdcggbfdecggbgcfbggbgcgaggbgddcggcagfcggcbddgggcbfgbggcfeccggcgafcggdgbebggebdgbggefbfaggegaafggegcadggfacgcggfafdcggfcafdggfcdbeggfddeaggfebdcggfebfaggffeabgggadddgggcdeagggdbfagggdeacabfffggabgegfgacgfgdgadfdfggaegfggbaeggdgdafefeegafegdgeaffddggaffefefaffgdgdafgffgbafggfecagdgeefagdgegdagegdfeagfaggfagfcgefagfdgdfagfgdcgaggegagaggfedeaggfffbagggagebcdfggfbcfgggcbcgdggebddgfffbdefgfebdfdfgfbdfdggebdfefgebdfeggdbdfffdgbdgcgffbdgdgefbeaggfgbeedfgfbeegfgcbegedgebegegcfbegfefdbegffdebeggeedbeggegbbfdcggfbfeeeffbfeeggcbfeffcgbffedffbffgbegbffgecfbfgaeggbfggeagbgbeffgbgcgdffbgdbfggbgdcgffbgddfffbgdeggcbgdgcegbgecefgbgecfgebgedfefbgeeefebgefgcebgfgbdgbggfbdgbgggaefbgggbfdcbfeeggcbgdgffcbgfeffcbgfegeccdffgfccgcggeccgfdegccgggfbcdbegggcdddfggcdefggccdeggfccdfdgdgcdgcegfcdgdffecdgefcgcdgefgccecgffeceegggacefgebgceggaffcfcegdgcfcgefecfdfggbcfeefdfcfefedfcfegebgcfegffbcffbgefcffcgfdcfgbffecfggfaecgbefgecgccgffcgcfbggcgcgdefcgcgefdcgcggagcgddgcgcgdecgfcgdegdecgdfaggcgebegfcgedgcfcgedgfccgeefcfcgefcefcgefdeecgegefbcgeggeacgfbgeecgfceefcgfcefecgfffafcgfffbecgfgaefcggcfcfcggdfcecggdgfacggefcdcggfedccggffeadbgedfgdbgeggcdbggdefdcafgggdcdfggddcdgfdgdceeegfdcgddfgdddefffdddgfeeddecggeddeeeegddefegdddgegddddggbdgddggdeddebeeggdebfggddedeffededgeeedeeedgedeefdgddeegbgedefdgdedeffgfadegafgedegdegcdegecefdeggebedfbefegdfcecggdfcfgdedfcggcedfdcegfdfddeegdfddfgddfdgbgedfeafgfdfebdggdfebfegdfeebfgdffagdgdffcdegdffcdffdffgccfdfgdeeddfgdgbedgadffgdgaefegdgagdffdgagfeedgbgfdedgcdffedgdaffgdgdagffdgddedgdgdfcefdgdfecfdgdfeeddgdgfafdgededfdgeeecfdgegdfbdgegeebdgfbgdedgfeagedgfebgddgfegbddgffdcedggbggadggfbbgdgggcdcdgggdeadgggebceafegfeeagdgdgeagfggbebeegfeebffgfcebfgecgecdefgeecdfgfdecdggcfecegfgbecgefcfecggeddedbgdfgedcfgcgeddfdffeddgfdeededfgdedeegededfdgbgedffagfedffbegedgecdgedgfegaedggfbdedgggadeebdffgeeddfefeedfdfeeeegageeeegbdgeefafffeefbfdgeefcfcgeefdfbgeefffafeefgdceeegdfddeegfdfbeeggaeeefbfffdefbgddgefbgdgdefcefgcefcegedefdcgdfefdddgeefdggeaefededfefedfedefeedcgefeegbeefegcbgeffafgdeffeeagefffadgeffgafdeffgbcfeffgdebefgaeefefgafeeefgbbfgegbecfgegbefdfegbffedegbgebgegcfcfeegcgfafegdagdgegdcedgegdefbfegdegdcegdfgdbegdgcfcegecgbfegegagcegeggcaegfbfdeegfdcgcegfddgbegfdfbeegfdgeaegfebeeegffeeaeggafdeeggbcdgeggbcefeggbfageggcgeaeggdadgeggefbceggfbagfacgffffafdgdgfagdeegfageefefagegfcfagfffcfaggbegfbdfdfgfbdggfcfbefgdefbfbeggfbgbfgefbgdfcgfbgdgcffbggcfdfbggdedfbggebffcbfggdfccfcggfcddegffcddgeffcegbgefcfdgedfcffedefcfgaegfcfgegafcgdecgfcgdefdfcggbdffcggefafdbgfeefdbggbgfdceefffdcfegdfdcffgcfdcgfgbfdcggfbfdeebgffdefdgcfdegagefdfccgffdfdbfgfdgcfgbfdgcgbffdgdbfffdgecgcfdgeebffdggdcdfebdgfefebecggfececgffecfgcefecgagffeddeeffedfagffeedcegfeedfcffeeeecffeeeegbfeefdcffeegeebfefdfagfefedfcfefgcagfegbfbgfegebcgfegecbgfegfagcfegfbfcfeggcebffafedgffbdgdfffbgfceffbgffbffcbfgeffcfeedffcffagffdagfeffdcggbffdddefffddedfffecfgbffefdecffegbgbfffbffcfffbgbffffcbgefffcddffffcdgcfffcgcdfffcgebfffeebefffffcbffgagbfffgbdgcffgdaefffgdefaffgdgadffgfddbffgffbbffggdcbfgadeegfgaebggfgbecfffgbegddfgbfcdgfgbgbdgfgcfdedfgdbegdfgdcdgdfgdcfcffgddagffgdeffafgdffaefgdgbdefgeaedgfgebedffgeegadfgfbebgfgfcagefgfeadffgfebedfgfeccefgfefcbfgfffcafgfgddafggaecffggagcdfggefacfggfcaefgggbccfgggebagabgefggaddgffgafffbggafgbeggagfdcggbaegfggbbeegggbcfeeggbdedgfgbdgggagbedgdfgbefbgfgbefgddgbegffbgbfbegfgbfcdgfgbgaefggbgecgdgbgffcdgccgbfggccgdgdgcdefdfgcecgcggcegdgbgcfbffegcfecdggcgffbdgcggfadgdagdeggdagegdgdbdgefgdccfgegdcdegegdcfagggdddfeegddeecggddeedfgdeefcegdefagegdefbefgdfdgebgdffbgcgdgbdgdgdgbecggdgcagfgdgdcgcgdgfcaggdggbaggdggeadgeacegggebaggfgedeffbgedfbefgeebdeggeebedggeegbbggeegbcfgefadffgefbdfegefbgddgefcfcegefeeebgefefaegeffdcdgegebedgegfafcgfafecggfbgaffgfcfbefgfcfebfgfcfefbgfcgdcegfcggadgfdbgedgfdcfgbgfdeeddgfdfcgbgfdfgdagfecffbgfecgbegfedddegfeeaefgfefbbggfefdbegfefddcgfefgacgffadgdgffbdgcgffcceegffdgcbgfgbfbegfgcfdbgfgecbegfgeccdggabdggggaeggaggageceggaggdbggbbfgdggbefceggbfcfdggcbfgcggcbgfcggcedfcggceebfggcegeaggdcagfggdcfagggddegaggdeecdggececeggeeacgggeegbbggfafceggfcccfggfdbdeggfecebggffbbegggbbeegggbbgcgggccbfgggcccegggdecbgggeecaaabcaaabaabbababababacaaacaabaadcggggadfgfgeadgeffgadggfgdaeefgffaeeggefaegfeegafdegfgaffegefaffgfdfafgagggafgbfggafggcffagebgggagegdgeagfegdfagfeggcagfgegcagfgggaagggegbbaacaabaggggebdegegfbdfgggcbdgdggebdggfdfbecfggfbeeegffbeegdfgbeegeegbeggbfgbeggecgbeggeeebegggfbbfdggfdbfedggebfeedggbfefegebfffgbgbfgdfgdbfgecfgbfggfbfbgafgfgbgcegegbgcfdggbgcffgebgcgdfgbgfbffgbgfcefgbgfegdebgfgefcbgfggfabggffagcaaaabcabaaacbeegggcbffffgcbggcggccdffggccgfdgfccgffefcdbfgggcdcfgfgcdffgfdcdgeegecdgfdffcecgegfcefdfffcefegdfcefffcgcfcggcgcfeeeffcfegcffcfgbggdcfgcffecfgdfgccfggceecfggfebcfgggcccgafgffcgbfggdcgdbfggcgdcggecgdefdgcgdgcgecgdgefdcgedfdgcgeefdfcgeffcfcgegbgecgffcfecgffdcgcgffebgcgfgaegcgfgdcfcggfdgbdaaaaadagggfddbcggfgdbdgeggdbeggfedbggdgedcaggggdddefgfdddgdfgddfegeeddffgfcddfgggaddgcefgddgeedgddgfgecddgggfadeafggfdedfegededfgeedeecgffdeeefefdeefegddeefgfcdefffcfdefgegbdfbdggfdfbffegdfdbgfgdfdfedgdfdgbgfdffgbgddffgebfdfgegfadfgfbefdfggdcedgbgcgfdgbgfdfdgbggdedgcdfegdgdbeggdgdcdggdgddgeedgdefeedgebdggdgedggbdgegceedgfagefdgffceedgfgddddggbgeddggccffdggdcdgdggdfbfdggefcddgggcfbdgggeaedgggfdaeadegggeaeggdgeaeggfeeaffdggeafffegebbgggfebgbgfgebgfefeebggcegecdggfdecfagggecgbggeecgebggedbffgfedbgegfedcdfggedfagfgedfbffgedfcggdedfddfgedfdgdfedffeeeedgaeggedgdffdedgfcgdedgfegbedgffddedggbefedggfebeeaggefeebgdgfeedcffgeeedgcgeeeecfgeegbeegeegdeeeeegdgbfeegefeceegfgbdeeggadgeeggdgaefbgffdefcgfbgefcggagefdbfgfefeegeceffdcgeeffdgbfeffecfeefgbfgcefgcfcfefgeegaefgfdddefgfecdefggcddegbdfgeegbgecgegccfegegccgdgegcfggaegcgbegegcgbgeegdagegegdffecegebfefegecfcgegedegcegefcdfegefeddegfeffaegfegccegffbgcegffccfegfgaeeeggaggbeggcgbeeggffdaegggbfbfaegeegfafgedgfbcfgegfbefdfgfbegbggfbfcgegfbfgaggfbfgedffcagggefcedgdgfcegdfefcfdgfdfcgaeggfcgcfgdfdbgefffddcggefddffeefdffbegfdfgdgbfdgdbgffdgddfefdgefddfdggecdfdgggcbfeagcggfebfdgffebgdfffecfgdefecgdeffedeggbfedffgbfeedgedfeeeecgfeefagffefaefgfefbfdgfefcdfffefcgbgfefdfcffefegbefefegdcfegaggcfegegeafeggbgbffbddggffbffgcffcecgfffcgbffffcggdcffdffgaffdgfdcffecfdfffedgddffefdgbffefeecfffdafgffffdbfffffefaffffgbcffgcecfffgcgfaffgefdbffgfcbffgagcegfgbgddffgbgfgafgcaeggfgcaggefgccefffgceegcfgcefcffgcgdedfgdbeegfgddfcffgdfdfcfgdffaffgegbfcfgfbcfffgfbefdfgfcfecfgfdafffggbafgfggcefbgaagggfgadeffggadgfdggaecggfgaegfcggafcegggafgefdgagfeeegaggdcggbagfgfgbcgfdggbeefefgbeegeegbfffedgbfgagfgbfgcgdgbgceffgbgeffcgbgfgafgcbeggegcbggcggccdffggccefeggccfdfggcdfgcfgcdgdefgcdgecggcdggbfgceafgggcedfdggcefcffgcegcfegcfeggagcffgebgcgddfegcgefecgdageeggdbdegggdcegcggdcffdfgddfgaggddfgddgdebfffgdecegegdegecegdfbdfggdfgdecgdgcgddgdgdcgdgdgebdggdggbcfgdggdfageabggggeaefffgeafdfggeagfgcgecaggfgecegfcgecfbfggecffbggecggdcgedcdfggedefgbgedffcegedffddgedgddegedgecegeeafeggeeagfegeeggcbgefbcgfgefddfdgeffbgcgegafdfgegcbffgegcffbgegfcecgfabfgggfafdffgfafgedgfagbgfgfbgdgcgfdecdggfdegebgfdfceegfdfgbdgfeadfggfeagcggfebgedgfecfcfgfedbgegfeecfdgffbagggffdceegffdebfgffdefbgffeadggffgacfgfgaefdgfgaffcgfgcecegfgdgcbggaddfgggaeegdggbdgbgggbfcefggcbgdfggccffdggcdbfgggcggcbggdfedcggdgbfcggeagcfggedeecggeeagdggfbffbggfdgdaggffbcegggddafgggdfcbgggebddgggeedagggfdcbggggbccaaabcbaaacacaabdaaaacbbaaadabaababcaabacbaacgggegadaaabadabaaadggfgeaeggeffafdfgfgafggdegafggdgeagffcggaggdggdbaaaadbbababbbbaabbbgfgfgbbgggffbcaaabbcaababcffggfbefegegbeggfcgbfefgefbgfgcegbggdggcbggecfgcabbaacbabaacbgfgffccggfefcdcfgggcdgfdfgcefgedgcefgfeecegdfffcegefgdceggecgceggefdcfegdgecfegfeecffgecgcfgafggcfgdffecfggeedcgdgfcgcgdgfgccgffdgdcggcdfgcggcegecggegfbcggfdfddbgggfddcfffffdcggfdfdddggdgddfgfeeddgcgegddgdgfedebggffdecefggdedfdggdedgeegdeeedggdeefdfgdeegdegdeegggbdefdgefdefdgfedeffgeddeffgfcdefgedfdefggbfdegaggfdegdeffdegggdcdfcggfddfegaggdfffeeedffggbedgafeggdgbdggfdgcdgegdgecgefdgfaeggdgfaggedgfebfgdggbfgddggdecgdgggbfdeaeegggeaeggffebfefgfebfgdgfebgdffgebgefegecbgggfecefefgecfgdffecfgedgecgggagedfgcgeedgdfefedgedegedgfcffedgfecgeecgffeeeedefgeeegbgfeefefdfeefgfageegaggeeegbegfefbegegefbgegeefdcgffefddefgefdgcegefebffgefecgefefeebggefeegbgefefffceffefdeeffegecefffagfefffcefefffdcgeffgfbeefggfdbegdffbgegeefedegeegbfeggaggceggcfdeeggdbegeggeddeeggeeddegggcgafagdgegfagffeffaggdfffbdfgegfbdgfgefbeggeefbfggcffbgfgfcfbggegcfcfddggfcffgcffcfgdeffcgdfgdfdcefgffddfegefdefgbgfdegfedfdfcgfefdfedegfdfedgefdfgcdgfdgdcgffdgdfdffdgeeeefdgffddfdggfaffdgggccfeddfgefeecdggfeeggbefefaggefeffffbffacgggffaegffffccgegffdeegdffdfcgeffedeefffeffbfffegbeffffbegefffecfefffegbefffgecdfffgfccffgbbggffgdbgeffgebdgffgfebefgadggefgagdgefgagegdfgbfdfffgbfdgefgbfggbfgcdfeffgcfdfefgcgcdgfgdafgffgdbfgefgdbgdgfgddgdefgeaefgfgedefdfgeeeedfgefeagfgfccgefgfcgfbfgfebeffgfecfdfgffeebfggbcfffggcgcdfgggbecgadgefggaegcgggaegggcgafggbggafggfcgaggagggaggceggbbffgggbcgdgggbeeggdgbgeeefgbgffedgbggcgdgbggedegcbegfggceaggggceegcggcffceggcgcffegcgeecggcgfdfdgcgfffbgcggcdfgdaeggfgdafggegdbffeggdceggdgddecgggddggddgdefefdgdffagfgdfffcegdfgefbgdgbgfdgdggagdgdggfdbgecbfgggecfegdgedeggbgedfgcegedfgfbgeecgdfgefcgfcgeffceegefgadggegebefgegedcfgegegaegegfefagfadfgfgfaeefggfbfegdgfceefegfcfdefgfdcfgdgfdddgegfddfdfgfdfdcggfdfdgcgfdgbdggfdgegagfdgfebgfedcgegfedfbggffbbgggffdgafgfgcecfgfgcfcegfgcgdcgfgdaeggfgdbdggfgdfcdgfgfcaggfgfddcgfgfdebgfggdaeggafegdggagcegggbfbgfggbfgfbggbgdfdggbgedeggbgegbggcdcgfggcegddggcfagfggcfddfggcgegaggdfegaggebefeggecdfeggecefdggfafcgggfbfcfggfbgddggfcdgcggfdbgdgggbddfgggbgbeggggcccaaabdbaabbbcaabcacaacaadaacacbaaccabaadbabaaeaabaaeabaababadabadbaabaeaaabbbacabbbbbabbdaaabcbabacabacacabbbacdaaaacgggfgagegfffagfeffgbacaacbacbabbbbacabdaababdbaaabeaaaabeeffggbegfgfebfeefggbffeeggbfgggedbgdgefgbgfefegbgggegcbgggfgbcaacbacabbbacacabacbaacacbbbaaccgffgfcdfefggceffggdcegfegecfeffgecfefgdgcfgfgdecgbgfgfcgdgfefcgeggdecgegggbcgffffdcggegfccggffcfdaaaacdabbaadbaaabdcggcggddgeegfdefdggedeffgfddegeggcdegfcgfdeggefddfefgfddffcffgdffgbfgdfgfcgedfggbgedfgggafdgefdgedgfdeegdgffeeedggagegdggdggbdggeecgebdggfgecgdfgfecggedgedcggffedcgggeedfgdffeecffgfeecggefeeddgfgeeeffdgeeffbggeegfgddefafggfefagffgefdgedgefeegcgefegdgdefegfcfefffaggefffgddeffgfagefgegagefgffbfefggbefefggfebegbeffgegdagggegdgedfegeegdeegfcfefegfdggbegfggeaeggbfgdeggdfedeggdffceggecefeggeddfeggeebgeggfdedeggfgaefbeggdgfbfdfggfbgdggefccgffgfcefggdfcfdgegfcfgdegfcgbgfgfcgefeffdbffggfdddgfgfddfdggfddgfgdfdeggedfdfeeegfdfegfdfdfgfbgfdgeegdfdgeggbfdgfgagfdgggaffedefgefedfgfdfeedgdgfeedggdfeffcfffegdfcgfeggageffbeffgffdeeegffebggefffdefefffgegaffgcgfcffgecfefgafgfefgagggcfgbdgegfgbfggcfgbgbggfgcfdegfgdegfcfgdffbgfgdggdcfgeagegfgeddfffgeeggafgefbfffgegfaffgeggeafgfaegffgfaffffgfageffgfgbgcfggcbfgfggccegfggdecffggdegbfggfcdegadeggggaefegggafffffgagegfegbgggbfgcddfgggceegdggcefeffgcfcgffgcfggecgcgdgfdgcgedeggcgegdegcgfcffgdafgfggddgcgfgdeeffegdfafgggdfcgdggdffbgfgdffdfegdffgaggdfgddfgdfgdfdgdfgefcgdfgfbfgdfggdcgdgdgcfgdgggbdgedcgffgeddegfgedgceggeeagfggeecgefgeeggbegeeggcdgefbegfgefdggbgefegddgegcbgggegccgfgegcfdfgegdagggegedfdgegefddgegegafgegfgaegeggbcggeggccfgeggfeagfbggedgfceggcgfcfdeggfcfgcfgfcfggbgfcgceggfdgdcggfebgefgfebgfegfegdbggffcdffgffdfbggffdgddgffeafggffecgdgfffebfgffgaefgfgcegcgfgefebgfgfdbfgfggacgggaeggdggaffdgggcedegggcedffggcggebggedddgggeddefggfcdfeggfgeeagggbgfbgggdcgcgggdffaaaabbeaaacccaabafaaabbaeaabbeaaacaccaacccaaacdbaaadbacaaddaaaaecaaaagaaaabaaafabaadcabadacabbaaeabbadbabbbadabbbdaabdacaabebaaacaaeaacabcbacadbaacaeaaacbbcaaccaacaccabbadbaacadbbbaaeaacaafabaaaggcgggbaabbdbaabccbaabeababaeababbdababccababdbabacdaabadaacbadabbbcacabbcbbabbcbbbabcbcaabeggfgebfaaaabfggeffbggfdgfbgggdegcaaadbcaadbacaaeaacabdaacacbabcbacabcbbbbaccababccbabaceeegggceffeggcffeggecffffffcgedfggcgfdgffdaaacbdaabcadaadaadababbdabbbadbaacadbcaaadcaaabdegfgeedeggfeedfefggddgbgggedgfggcedgfggecdgggagfdgggfceeaacaaebfegggeccggggecgegegecggdfgecggfefedgdffgedgffefedgfgfdeebgggfeefffefeeffggceegffdfefdegegefgefcgefgggafefgggdcegeggbfegffdfeegffefdegfgecfeggcfgdeggdcfgeggedfeeggefdeeggfcfeeggfefcegggefbfaaaabfafegggfafffggfbegggefbgggfdfceegfgfcegffffdegeegfdggecgfecfeggfeedffgfeeffeffefeefffefgffcfegegedfegfegcffdbgggffdgffdfffcggdffffdeffffffcfffgfbgefgaefggfgafggefgagfgefgbffegfgbggcgfgcfgcgfgddffffgdfgfcfgebffgfgecgeffgeggebfgfdcgffgfegcefgfgdedfggccgffggddeffggfebffggfeecfggfefbgagegffgaggegegbeggdggbgeegfgbgfdgfgbggefegbggggbgccfgfggcefgfegcgggddgdbfgfggdbgggegddeffggdegdgegdgfbfggebggefgedcggfgeedegfgeegfbggeeggaggeeggcegefcfeggefeefegefefcggegaffggegcfdggeggceegfbffeggfcedgggfcffgdgfddggdgfdgedfgfdgffcgfefddggfeffdegfegddfgffbgdggffcfgdgffdfgcgfgaggdgfgbgfdgfggdbfggaefgfggbfffeggbgfdfggcbfggggcgcffggdedgeggefebgggeggbdggfbfdgggfdddgggfdffcggfegbeggffageggffffagggadfggggaggcgggdafggggdcfegggfgbcggggeaeaaacfaaaaeadaabaceaabceaaabdadaabdcbaabebbaacdbbaaceabaadabdaadbcbaadcacaaddbaaagaababaaceabaafbabaagaababebababfaabaeacabaecaabbeababbfaaabcabdabccbbacaaebacaafaacabccacbbcbaccabcaccbbbadabcbadabdaadadabadaeaaadbadaadbcabadcaacadcacaaeaabcaeadaaaebabbaebbbaafababafacaaagfggffbaaaddbaabbebaabcdbaacccbaafbababbdbbabfaabadaadbagaaabbaabebbacadbbadbbbbafaabbbabdbbbadbbbeaabbbebaabcaeaabcbaadbcbabcbccaacbccabbbccbbabdaabcbfgfgegbgegeggbgffeggbggdggfcaaccbcabbbccacabccacadacadbbacaeabacbaadbcbabdacbadabcbadbacbaeaaccabcaccbbbacdaaaccdacaacebaaacggfgfddaacbbdaaccadabacbdabadadabbacdbabacdcacaadcbbaaddaabaddabaadefgefgdegfdggdfgfgfddfggfeedgfegdgdggcggedggedgfdgggggaeagggfgebcaaaecabaaedggeffeedgggeeefeeggeeggcgfeeggfeeeegggcfefdefggeffcggfeffegefeffgfdfeffggfcefgdegfefgefefefgfgedegcgfegegegfeeegfefefegggbffeggggbefabbaafacaaafbaabafbbaaafcfegfgfdfcgggfdfggdffdgfgcgfebggfgfegbfggfeggfdeffbgeggffcfgffffdfgfeffedgfffffcggefffdgfefgcffegfgdeefgfgdgdfffgeceggfgegdeffgfeefefgggddefgggfdcgbegegggbegggegbffggegcggdeggdceggggdegegegedgfdggeefgdfgefffcggeffggbgegeffdgfcgfgdgfdggbggfeggecgffcdgggfgccgggfgdgbggfgegceggdcgegggdgfgbggedfgdggeefcgggfdefegggaggdgggbfgdgggdggagggeddfaaacddaabagbaabbagaabbfbaabbgaaabcafaabdccaabeadaabfbbaabgabaaccaeaaceacaadbaeaadbccaadbdbaadbeaaaddcaaaeabdaaeadbaaebcbaafabcaafacbababbfabbecaabcbaeabdaaeabdaccabdadbabdcacabdccaacabdcacaddaacaecaacbbbdacbbdbacbccbacbcdaacccbbacceaaacdabcacecaaadaaafadaacdadaadcadaccbadacdaadbbbcadbcbbaeaadbaeabbcaeaccaaeaeaaaebaadaebadaaebbbbaebbcaafaaadafabbbafabcaafacabafbacaafcaabagababagbbaabaaabgbaaacfbaacfabaadbdbaaebcbaagbababaagbabafbbabddababecabacbccbacbeabacccbbadaccbaebacbaecbabagaabbbaaagbbabcdbbacccbbbacdbbbadcbbbaebbbbbbdbbbdacbbcadbbbebabbbfaabbcaaafbcaacdbcacdabcbaccbcbadbbcbbbcbcbdbabccadabcdbbabceaabbdabcbbdacbbbdadabbddaabbeabbbbebaacbebacabebbbabecababfaaacbfbaabbgfgeggcaaaagcaaacecaaagacaacdbcaafabcabbcccacabdcacbbccaccaccaceaacaecaacbaaafcbaaebcbabbdcbbaaecbbaeacbbeaacbcaadcbcacbcbcadaccabdaccaeaaccbcbacdaacbcdabaccdfggggcdgfgggceacaacgegfgfcgfggdgcgggfdgdaacaddaacdadadaacdafaaadbabdadbadabdbbadadbbdaadbdaabdbdabadbdbaadcaadadcabacdcadaaddbabadeaabadebaaadfeggegdffggfedgeggfedgfgfefdggegdgdgggegdeabacbeabadaeadbaaebaadaebacbaebbbabecabbaeefeggfeefgfegefegegfefffgfeeffgeffefgfegeefgfgfdegdeggfegdgefgegffdgfeggdefgeggffdfeggfggbfabbbafacbaafbaacafdgefgffegefgeffdfgegfffcfggffgcggeffgdggdffggddgffgggagfgbgffgfgcfeggfgdfefgfgdgfgdfgefcggfgeggdefgfdfgefgfefdgfgfgcfffgfgddgfggfcegfggfdfefgggdfdfgggecffggggebgaabbagabbaagbaabagbfgggegbgegfggcaaaagcgeggegcggdgfgdfegeggdfgfdggdfgffegdgfgcggdgfgfdgdggdffgeeggeegefdgffgegdefggegegdfgfdegffgfdgfdggfdggcggfedffggfffgdegfgbeggggcefgfggdegfeggdggedggecgffggeddggggeegfdggeggceggfebggggfgddfgggcfdggggddffaaaafeaaabdfaaadfbaaafccaabaeeaabeaeaabgcaaacabgaacbagaacbbfaacbceaacbddaacbgaaacdbdaacddbaacedaaacfcaaaeccbaafabdaafaeaaafccaaagacbabbcbeabbgababbgbaabcabfabcbdcabceacabdabeabddcaabdeababebcbabedbaabgbbaacaacfacaafcacacbeacaecbacaedaacbaceacbddaacbgaaaccacdaccbbdacccadacdaaeacdaeaacdbadacdbcbacddabacfabbacgaabacgbaaadaafbadaagaadabebadabfaadacaeadacdbadbacdadbbccadcaeaadcccaaddadaaddcabaddcbaadfabaaeabeaaeadcaaebcacaebdbaaebeaaaecadaaeccbaaedabbafaadbafabbcafacbbafbabcafbadaafbbacafdbaaafeaaaagaacbagacbaagcbaabaaafdbaaagcbaaccebaacfbbaadcdbaaddcbaagbbbabadebabbgababcbebabdbdbabdccbabebcbabedababfcabacabfbadbaebadbccbadcdabaddacbadeabbaeaaebaeaccbbaagbbbacafbbadccbbaecbbbbaddbbbaecbbbbcdbbcadcbbcbeabbdabdbbdaccbbdcacbbfbabbcaacebcaaecbcaagabcabbebcacdbbcaddabcaebbbcagaabcbbbdbcbbdbbccbdabcceaabcdabcbcdcbabcddaabceacabdaaafbdaafabdadacbdbabdbdbaeabdbeaabdcadabdccbabddacabdeababeaadbbeabbcbebadabfaacbbfbaacbgaabbcaaaedcaacbecaacebcaadaecaadbdcaaddbcaadeacabaeccabdadcabdcbcacadccacafacacdaccacebacadaeacadbadcadcbbcaeaadcaebbbcbaaeccbaeaccbbcadcbcccacbdbcacbdcabcbeaaccbeabbcbecaaccabccccadacccadcaccbaaeccbaccccbbbcccbcbbccbdbacccbcaccdaaccceaabcdabbccdbaadcdbbaccdbbcacdbdaacdcbbacddabacddbaaceabbbcebaaccefggggcfbaabcgbaaacgfgffgdaaaecdaabbedabbdbdabbeadabcdadacaaedacbbcdaccbbdaeacadbabbddbaebadbbaeadbbbaddbbcbbdbbeaadbcdaadbeaabdcaccadccabbdccacadccbabddaadaddabcaddbaacddbabbdeaaacdeabbadfggfegdfgggefdgffffgeaaaafeaadbbeaafaaeaccabeadaaceadacaebaaaeebaabdebacacebadabebbaadebdaabebdabaecadaaecbabbecbbbaedacaaefgeggeeggdfgfeggfgeefababcfabcbafacabbfacbabfacbbafaeaaafdbaaafdggefgfeeggegfegeffgffdgffgffegffffffeeggffgfcggffggbggffggcgffgfdgegfggdfegfggfdgefggfefefgggegcfggggecgaaacbgaacabgaacbagabaacgadaaagbbaabgcaaabgcfggeggdeeggggdgeffggebgggggeeggdggefeegggeffdgggegggbggffefffgffffgdgffgggbgfgbggfggefgfdggfdefgggfdfgeggggddfggggebgaaacgcaaadedaaadgbaaafafaaafebaaagaeaabagdaabbgcaabdagaabdbfaabeebaabgadaabgbcaaccbfaaccgaaacdebaacdfaaacgcaaadacfaadccdaaddeaaadfacaaebafaaebcdaaecbdaaecdbaaedadaaeeacaafaafaafaebaafcadaafcbcabadceabadddabadgaabbbdeabbdebabbeaeabbebdabccafabccbeabccdcabccebabcfacabdabfabdbafabdbfaabdcaeabeebaabefaaabfdabacabcfacabdeacacddacadcdacagacacbagbacbbgaacbcdcacbcebacbcfaacbdeaacbfacacbgabaccaecacccccaccdbcacdadcacdcadacdccbacddbbaceaaeaceaccacebcbaceeaaacfadaacfcabacgacaadaccdadacfaadaddbadaebcadafcaadbabfadbaddadbaecadbbcdadbbdcadbceaadcadcadcaebadcafaadccbcadcdcaadcebaaddbadaddbbcaddcacaddeaaadeabcadebcaadedaaaeaaddaeaafbaebbccaebccbaebdcaaebfaaaedadaaedbbbaefaabaegaaaafadbbafbccaafbdbaafbeaaafcadaafdaacafdbbaaffaaaagdaabageaaabaabdfbaacfcbaafeababacgbabcddbabcfbbabfcbbacabgbacacfbacbbfbacbcebacebcbacedabaddcbbadfabbadfbabaebaebaecdabafdbabagaadbagcabbbacddbbadcdbbaedbbbafcbbbagcabbbagbbbbccdbbbcdcbbbgabbbccdbbbcddabbdaafbbdcbcbbdcdabbdebabbebcbbbfbbbbbgbbabcacbebcaedabcagbabcbaddbcbbcdbcbbfabcbdbcbcbdcbbcccdabccdcabcceabbcdbbcbcdbcbbceaadbcebacbcebbbbcebcabdacaebdafabbdbaafbdbafabdbcadbdbdcabdcaaebdcdbabdceaabdeabbbdeacabeaacdbeaafabeafaabebaaebebabdbebcbbbecadabedacabedbabbfaccabfaeaabfcabbbgacabbgbabbbgbacacaabedcaaceccaadafcaadcdcabacfcabbeccabcafcabcdccabdcccabedacacbafcadadccadaebcadcadcaebdacafcabcbaafccbacdccbaedacbbabfcbbdadcbcaebcbcbbdcbcbdbcbcbeacbdaeacbfbbacbfcaaccaagaccacdbccbaebcccbcbccdaadccdcabccdcbaccfabacdaaafcdabcccdbaeacdbccacdcacbcdcdaacddaaccddbbaceabcbceacacceadabcebacbcfbaaccfbabbcfbcaacgbbaadaabbfdaabdddaacebdaacfadabbebdabbfadabcbddabdaddacbeadaccbcdacdbbdadeaadaebbbdaebcadaecbadafabbdbaacedbabdcdbbccbdbcbaddbcbcbdbceaadbebbadcaadcdcaaebdcbbbcdcbccadcdabbdceaabdceabaddadbaddcabbddccaadddaabdddbaaddeaaadeabbbdecbaadedaaadfabbaeaaabfeaaaddeaaaeceaaagaeaabafeaacaeeaaccceaadbceaaddaeaaebbeaagaaeababeeabafaeabbcceabcbceadcbaebbadbebbaeaebbbadebcbcaebdbbaecaacceccacaecdbaaedabbbedabcaedbacaeeababeeabbaegegfgfeggeggeegggfeffaaaaffaacadfaadacfabccafabeaafacadafadabbfadbabfadcaafbabcbfbacacfbadabfbbbcafbbcbafcaaadfcacbafcbbabfcbbbafccaabffdfgggfffdgggfgggffdgaaaaegaabadgaabbcgabbbbgaeaaagbaaadgbaabcgbabcagbadaagbcabagbcbaagbgfggggdggfeggedgggfgeegfgfgefeggfgefgfffgegggdfgfgfgcgggfffdgaaacefaaaedeaaaegbaaaffbaabaffaabcdfaabdfcaabdgbaabegaaacadgaacbcgaacbeeaacbgcaaccdeaacebeaacfbdaacgbcaadcagaadebdaadgbbaaeafcaaeccdaaecebaaeddbaaefcaabaaffabadcfabaegaabafdcabbafeabbccfabbecdabcadfabcdafabcdebabcfadabdacfabdadeabdbddabecbdabfeababgabdabgadbabgbbcabgdabacaaefacacbgacadagacadgaacafbdacagdaacbafdacbcagacbfcbacbgacaccadeacccafacccebaccdbdaccdccacceadaccfacacebeaaceccbacedcaacfaaeacgadaadabbgadabdeadacceadacfbadadbeadadebadaedbadaeeaadbbecadbccdadbcfaadccaeadccdbadcdbcadcddaadebcbadfadaadfbacadgaacaeaabgaeabfbaeadccaeafacaeagabaebaceaecbaeaecdcaaedadbaeeaadaefabbaegbaaafbaafafbabeafbaebafbcadafbcbcafcbcbafcbdaafccacafceaaafdaadafdbcaafeaacafeacaagaadcagaccbagaebaagbcbbagccbaageababaafdcbaafebbabbfdbabdddbabeebbabefababfdbbabgcbbacagcbacbedbaccgabacdbebaceaebacedbbacgacbacgbbbadddbbadeadbadgbabaeafbbaebbebaecccbaecdbbaedcbbaeddabafbbdbaffaabagdabbageaabbabfdbbacgbbbadagbbadbfbbadddbbafbdbbbafdbbbcddbbbdbebbbgcabbcbfbbbcedabbdagabbdbbebbdcbdbbeccbbbecdabbedcabbgbcabcaagcbcaccebcacddbcagacbcbdeabcccdbbcdbdbbcebbcbceeaabcgbabbdabagbdabddbdabfbbdadbdbdaddbbdaedabdbbfabdbfabbdbfbabdbgaabdcacdbdcafabdcbbdbdcbdbbdccbcbdcdcabddabdbdedaabdfcaabdgababeaaagbeabcdbeabebbeabfabeaddabebccbbebfaabecadbbedadabedbacbeeaacbeebabbfacbcbfadcabfbbbcbfccabbfdaacbgacacbgadbabgbcbabgcacabgcbbacaaagdcaabfdcaadeccaaedccabafdcabcddcacbfbcacdaecacdeacacgabcadbbecadcdbcadebbcaeaafcaeadccaecadcaeccbcaedcacafabdcagacbcagbcacbaadfcbaafdcbaeeacbbdeacbbecbcbbfbbcbcddacbceaccbdebacbebcbcbecbbcbeeaacbfaadccaabgccaacfccaccdccaeadccaedaccbabfccbbafccbceacccafacccbaeccdaaeccdbadccdeaaccfcaacdaacecdabebcdacbdcdadcbcdafabcdbaafcdbacdcdbccbcdccaccddabccdebabcdfabaceaacdceabeaceacbcceadcaceaebacebacccebdbacecaadcedabbcedbabcedcaaceeaabcfacbbcfadabcfcabbcfeaaacgaacbcgbaaccgbbbadaaadfdaaaeedaaagcdaabbgdaabcfdaacecdaacgadaaddcdaaeeadaafcbdaagbbdabbbfdabddbdabedadabfacdacdaddacebbdacfabdadbdbdadccbdadcdadaeadbdaebaddafaaddafabcdbabecdbacebdbadeadbagabdbbadddbbbdcdbbbebdbbfabdbcccbdbcfaadbdabddbdaccdbdbaddbdbbcdbdbdadbeaaddbeabcdbfabbdbfcaadcaabfdcacbddcbbeadccaeadcdbbbdcdcbadceaacdcecaaddaaafddaaebddabdbddadacddbbdaddbdabddbeaaddcacbddcdaadddacaddeabaddfaaadeaadbdeabcbdeabdadeaeaadebadadecabbdecbabdecbbadfaacbdfabacdfcabadgaabbeaaafceaaedaeabaeceabcdbeabgaaeacabeeadacceadbadeadcbbeadccaeaeadaeaebcaeaecabeaecbaeafbabebaaddebbaafebbebaebccacebcdabebdabcebdacbebdbacebdbbbebddaaebebbaebecaaebfbaaecaaafecaafaecadacecbaaeecbadbecbcacecbccaecccabecdbabecebaaedabadedacacedadbaedaeaaedbdaaedccaaeeabcaeecaabefaabbefbbaaegbaaaegggdggfaaacefaabaffaadbcfaaeacfababefabafafabbdbfabbeafabdcafacaeafacbadfacbdafaccbbfaceaafbabaefbacbcfbbaeafbbcacfbcbbbfbccbafbdbbafcaaccfcbbacfcccaafceaaafdacbafdbbabfdfggggfeabbafeggfgfffabaaffegggffffgeggffggggdgaaaebgaacadgaaebagabaeagabcacgadcaagaebaagbabcbgbbabcgbbbcagcabacgcabcagcbaacgcbbabgcbbbagefeggggefgggegegdggggfgcgggggegggdgggeefgaaabgfaaadgdaaaecgaaaeeeaaafcfaaafdeaaaggaaabbegaabbffaabdcgaabebgaabfceaabfddaacageaacbefaacddeaaceecaacffaaacgaeaadbcgaadbfdaadbgcaadcedaadedcaadgadaaecfbaaeeaeaaeeeaaafbecaafcebaafdeaaafebcaagbcdaagcbdaagfbaaaggaaabaafgabadcgabadeeabaebgabaefcabafagabagebabagfaabbaegabbaffabbeceabbfbeabbgeaabcaefabcagdabcbfdabccedabcecdabdbfcabdeaeabdeeaabdfbcabdgacabdgcaabefacabegababfbbeabffababgacdabgcbcacaaffacabfeacabgdacadedacaebfacaefbacaegaacbaefacbbeeacbccfacbfeaaccadfaccbedaccbfcacccddaccdcdaccgacacdacfacdbddacdbecacddaeacdeadacdfacacdfcaacebcdacebfaacecaeacfadcacfcbcacfdbbacgaccacgccaadaafeadabdfadacfcadbebdadcabgadcagbadcgabadcgbaaddaagaddaddaddaecaddagaaddebbaddecaadeafaadebccadeccbadfabdadfbbcadfeaaadgaadadgabcadgbbbadgbcaaeaagcaeabbgaeacceaeafbcaeafdaaeagcaaebabgaebafcaebbecaebcfaaecagaaecdcbaecfabaedbaeaedbbdaeeaccaeebbcaeebdaaeedbaaefadaaefbacaegaacaegacaafabceafagabafbaddafbeacafbfabafbgaaafcaebafcbaeafcbeaafcccbafdaaeafdaccafdbadafdccaafeabcaffaacagabdcagabebagacbdagadcbagaeacagbaebagbafaagbdbbagcabdagdacbagdbbbagdcbabaadfdbaaffbbabbfebabcdfbabfcdbacadgbacebebacecdbacfaebacfbdbadbbgbaddafbaddebbadeeabaeadebaebbfbaefacbaefcabafafbbafbcdbagafabagbbdbagbccbbaaegbbadfcbbaeecbbaegabbbbfdbbbcedbbbgbcbbccgabbcdcdbbcdfabbceeabbcfbcbbdbbfbbdbddbbdbfbbbeabfbbeafbbbebebbbeceabbegaabbfbdbbbfcadbbfebabcaaefbcbeaebcbebdbcbeeabcbfcbbcbfdabcbgbbbccagbbccbecbcdbfabcdddabcdfbabcebdbbcecadbcedcabcefaabcfcacbcfeaabdacbfbdacfbbdadafbdadcdbdbbddbdbcafbdbdaebdbecbbdbfbbbdcecabddacdbddadcbddbaebddbbdbdeadbbdfaadbdfcabbdgbabbeaabgbeaacfbeaaedbeabddbeabecbeaedabeafbbbeafcabeagbabebaecbebbfabebddabebebbbebecabebfbabecadcbecaebbecbdbbeccadbeccbcbecccbbeccdabeceabbedbcbbedbdabeddbabeeaadbeeadabfaeacbfbaafbfbafabfbbaebfbdcabfcabdbfcdabbfdabcbfdcabbfddaabgabdbbgabeabgaccbbgbaeabgbdbabgcacbbgcbcabgeababgfaaacaaagecaadfccaafbecabcbgcabccfcabdeccabdfbcaccddcaccfbcaccgacadafccadagbcadbagcadbcecadgbacaeaagcaedadcaeddacaeebbcaefbacafaafcafcbccafcdacafdaccagcbbcageaacbaadgcbaaefcbacgbcbafdbcbagadcbbacgcbbbdecbbcagcbbccecbbdbecbbfadcbbfbccbcadecbcbbfcbcbfbcbcdbdcbcddbcbcecbcbdagacbddadcbdecacbdfabcbeaafcbeaebcbebbdcbebcccbeeabcbgabccbgbcaccaaeeccacagccafadccbbagccbcbeccbddbccbebcccbfaccccbafcccfbacceaaeccecbbcceeaaccfbaccdaaedcdbbafcdbbbecdbbcdcdbcaecdbccccdbebbcddbadcddcaccdecbaceaagaceabafceabcdceabfaceadcbceaeacceaecacecaaecfabbdcfabeacfacadcfadbbcfbccacfbeaacfccbacfdacacfdbbacgaabdcgaadbcgabdacgaeaacgbbaccgdabadaaadgdaaceddaacfcdaadfbdaagaddabaeedabafddabbeddabbgbdabccedabdbedabdfadabedbdabgbbdacagbdacbcedacccddacecbdadagadaddcbdadfbadaeaafdaecbcdaefaadafaccdagabcdagbbbdagcabdbaccedbadbedbadcddbaedbdbbdccdbcfabdbdaafdbddbbdbddcadbebaddbfcabdbfdaadcaaeddcabcedcacbedcaebcdcaedadcbbebdcbcaedcbeacdccbccdcdaeadcecbadcfaacdcfabbddabbeddacaeddacdbddaceaddbdbbddcabdddcaccddcbdaddcdabddceaadddacbddeabbddebbadeabbddeadacdeadbbdebaeadebbcbdebbdadebccadecadadecbacdfabaddfcbabdfcbbadgaadadgadaadgcaabeaaaeeeaaebdeabbbfeabbddeabbgaeabdaeeabebceabfbbeaccaeeadcadeadcbceadebaeadfaaeaebdaeaeccaeafacbeafbacebaacfebaafcebabagebaccdebacebebaebcebbaagebbabfebbafbebbbcdebbcaeebbddaebcadcebcbbdebcbccebccdaebcdbbebdaaeebdabdebddbaebdeaaebfaacecabafecabdcecafabecbafaecbbdbecbcdaeccabdeccadbeccbbceccbcbeccccaecdbcaecfaabecgaaaedaabeedabeaedbbadeeabbceebbcaefaabcefbbabefdaaaegacaaegbabafaaabgfaaacffaaaedfaabbffaacdcfabaecfabceafacaaffacafafacbaefacfaafadbcbfadbdafadcbbfadeaafafbbafagaabfagbaafbabebfbacccfbaddafbagaafbbbccfbbcdafbbeabfbcaaefbcbcbfbdadafcaccbfcafaafcbaccfcbdbafcdabbfdbcbafddabafdgggggfeaaadfeacabfecabaffababgaaacegaaaddgaaddagabacdgabccbgabeabgaceaagadbcagadcbagaeabbgaecaagagaaagbabccgbacdagbadbbgbbbdagbcbacgbccbagbeaabgbeabagbfaaagcadabgcbabcgcbcbagcccaagdacabgdcbaagdggfgggeabbagebabagfabaagggcgggggggffeaaadffaaaedgaaafcgaaaffdaaafgcaaagedaabbfgaabefdaabgecaacagfaacbffaacddfaacfddaacgbeaadaffaadageaaddcfaaddfcaadgbdaadgdbaaecgbaaedagaaedecaaegbcaaegdaaafcceaafebdaaffcbaagagbaagcafabadgdabaedfabaefdabagfbabaggaabbafgabbdcgabbdgcabbgbeabcbefabcdbgabcddeabceddabcfbeabcgdbabdadgabdagdabdbeeabdcgbabddecabdecdabdfbdabecagabeebdabegcaabfbceabfbgaabfcbeabfcdcabfcebabfdccabfedaabfgbaabgbfaabgecaabggaaacadeeacbccgacbdedacbdfcacbegaacbfafacbfbeacbfebacbffaaccbdfaccedcaccfccacdacgacdcbfacdedbacdgacaceagbaceecbaceedaacefcaacfabfacfaceacfaddacfbafacfbbeacfebbacfecaacffbaacgaafacgdcaadabdgadacfdadbagdadbcdeadbcgbadbdecadbecdadbgadadbgdaadcbbgadcbdeadcbedadcddcadcfcbaddafcaddbbfaddbgaaddcafaddfacadeaecadebafadebfaadecccadeceaadeecaadegaaadfadcadfbaeadfbccadgadbadgaeaadgcbbaeaafeaeaagdaeabfdaeacgbaeadagaeadecaeaedcaeaeebaeafaeaeagbcaeagdaaebaeeaebbfcaebfbcaebfcbaebgacaebgbbaeccdcaecdaeaecdccaecgbaaedaddaedafbaedbcdaedbebaedbfaaedcccaedeacaeeaebaeecadaeecbcaefbbcaefdabafaaeeafacddafafadafbbddafbdbdafcaddafcbafafcbcdafdaafafdadcafdbaeafddacafddbbafebcbafecacafeccaaffacbagaabgagabagagabecagacdcagacebagaebcagbabfagbaddagbaecagbbafagbfabagbfbaagddabageaadagebacagebbbagebcaagfbbabaacgebaafgbbaagecbabbffbabegbbabffbbabgdcbabgfabacbfebacccgbacceebaccgcbacdcfbacdedbacfafbacfbebacgbdbacgeabadadgbadbgcbadcbgbadfbdbadgadbaeafdbaeagcbaebfcbaececbaecgabaedcdbaeedbbafabgbafagbbafdaebagaecbagcdbbagddabagebbbbadcgbbaddfbbafagbbagafbbbagebbbbefbbbefbbbbfdcbbbgdbbbcbgcbbccbgbbcdcebbcdfbbbcgcbbbcgdabbdbedbbdbfcbbdccebbdcecbbddafbbeagbbbecafbbedaebbeebcbbegbabbfagabbfbafbbfbcdbbfbdcbbfbebbbfcccbbfddabbfeacbbffbabbgaafbbgbeabbgcbcbcaddebcaebfbcagaebcagccbcbcedbcbdcebcbdecbcbdgabcbfaebcbgadbcbgcbbccadfbccafdbccbbgbcccagbcccbfbcccddbccdafbccebdbcdadebcdcafbcebfabcfaafbcfbaebcfbccbcfcbcbcgadbbcgcacbcgcbbbdabdfbdabeebdabfdbdacgbbdadcebdadddbdadgabdafbdbdbadfbdbbfcbdbeaebdcacfbdcbcebdccebbdccfabdcdccbdcebcbddaddbddebbbddfbabdebdbbdefaabdgadabeabbgbeabgbbeacecbeadfabeaebdbeaedbbebacfbebadebebafcbebagbbebbbfbebdeabebfbbbebgabbecbbebecbebbeccbdbedaafbeeabdbeeaeabeebcbbeeeaabefbcabegaacbfaabgbfabecbfcafabfdabdbfdeaabgaacebgaaecbgadcbbgaebbbgagaabgbaafbgbabebgbafabgbbdbbgbcadbgbcbcbgbdacbgbeabbgcadbbgcccabgceaabgdacbbgeabbbgfbaacaadfdcaaefccaagdccabbgdcabebfcabeeccabefbcabgcccabgeacacgadcadafdcadagccadbdecadcbfcaddfacadfbccaecafcaecbecaecdccaecfacafabfcafacecafaddcafcbdcagacdcagcbccagcdacbabgdcbadcfcbadfccbafebcbbafecbbcbgcbbgdacbcbdecbcbgbcbccgacbcdafcbcddccbcgbbcbdbcecbeaagcbeafbcbeagacbecbdcbeceacbfaafcbfafacbfbdbcbfcadcbgaeacbgdabccafccccagdaccbacgccbaeeccbbcfccbcecccbcfbccbddcccbdebccbeccccbedbcccbcecccddbccdaagccdbdcccddcbcceabeccebaeccebeaccedbbccfbbcccfeaaccgacbccgbacccgcabcdaaeecdacagcdacbfcdadfacdaecccdagcacdbacfcdbbagcdbbcecdbgabcdcabfcdcagacdcbbecdccbdcdceaccddaafcddfaacdeabdcdebcbcdedabceaadeceabbfceabddceabecceacafceaccdceadeaceaeadceafaccebagacebbbecebcaecebccccebdbccebeaccebfabcecebacedaaeceedaacefabbcegaabcfbbdbcfbbeacfbcdacfcbcbcfdbbbcfdcabcgaadccgaccbcgaeabcgbbadcgbbcbcgcbcacgccbacgdaaccgdbabdaaeagdaaefbdabcfcdabdcedabdecdabecddabfbddabfccdabgaddacadfdacaeedacbbgdacdebdaceccdacfcbdadbfbdadcdcdadfacdaeacedaeagadafaebdagaeadbacfcdbaecddbaedcdbafaedbbbcfdbbcbfdbbdafdbbebddbcagbdbcbecdbccbedbcdeadbcfacdbcgbadbdaagdbdacedbeacddbebaedbecaddbeebadbefaadbfbbcdbgaaddbgabcdbgdaadcaacgdcaaeedcaccedcaddcdcadebdcaeeadcafcbdcbadedcbafcdccadddccbfadcccccdccebbdccfabdccgaadceaaedceaccdcedbadcfcabdcgaacdcgbbadcgcaaddaafcddabbfddabddddaeadddbceaddbgaaddccaddddaaedddaccddeaadddecbaddfcaadeacccdeafbadebbbddebebadebfaadecaeadedcabdeeabbdeebbadefaabdfaaafdfaadcdfabccdfbabddfbccadfcaaddgaaccdgaadbdgaccadgaeaadgbbaceaabgceaacedeaacgbeaadddeaadfbeaafeaeabadfeabbcfeabdafeabgbbeacadeeacccdeacdaeeacdeaeacfcaeadcdbeaebdbeaeebaeafabdeafaeaeafbcbeafcbbeagbaceagcbaeagdaaebacbfebadbeebaddcebafbcebbbagebbcbeebcabfebcdadebcddaebcebbebcecaebdadcebdbaeebdbbdebeeaaebfbbbebfbcaebfcbaecaadeecaagbecabbfecacfaecadaeecaedaecafbbecbafbecbbcdecbgaaeccaebeccbbdeccdaceccfaaecdeaaeceadaecfbbaecgabaedaaddedacccedadcbedaebbedbbbdedbdacedcaeaedccbbeeaadceeacdaeeadbbeebaeaeebbbceecbaceeccabeefaaaefabcbefbacbegaacbegacabegbcaaegggggffaaccefaacfbfaacgafaaeaefaaeccfaafcbfabafcfabbecfabcaffabcebfabddbfabeadfabgbafacaagfacacefacaecfacagafaccccfadabefadacdfadcbcfaddcafaeaaefaedabfafabcfafcabfbaadefbabbffbabfbfbadaefbagbafbbbbefbbbfafbbfbafbbgaafbcadcfbcbeafbceabfbcebafbdbbcfbdbdafbeaadfbeadafbebacfcaaddfcafbafcbaaffcbabefcbdbbfcdcbafceacafcebbafdadcafdbadbfdbaeafdbbbcfdbdbafdcbbbfdccabfddbbafddcaafdeabafdebaafeaabdfeaeaafebaadfebabcfebacbfebbcafedaabfedabaffabacffadaaffbaacffcabaffdaaafgggggegaaabggaaacfgaabbfgaabecgaacdcgaadaegaaebcgabaaggabbbegabbdcgabddagabeacgacbeagacdbbgaceabgadaccgadbadgaddabgaebcagaecabgbaaaggbaacegbaaecgbabafgbabdcgbacbdgbaebbgbbbdbgbbcadgbcabdgbcbcbgbdadagbddaagbeacagcabaegcbcacgcdbabgdaaccgdaaeagdaccagdadbagdaeaagdcbabgeaabcgeaadageacbagebbbagebcaagecbaagfaaacgggggefaabfcgaabgbgaacaggaaccffaacfcfaacfgbaacgddaadbgeaadcfeaadcgdaaddfdaadegbaadgafaadgdcaaeaegaaedbgaaeebfaaegaeaafcfcaafdceaafedcaaffdbaagagcaagdbeaagfadaagfcbabafgcabagcfabagfcabbecgabbeeeabbfbgabbgbfabccdgabccfeabcddfabcfddabcgdcabdebfabdfebabdgaeabdgccabeagdabebgcabecgbabfaeeabfagcabgbddabgbgaabgddbabgdeaabgedaacacegacagddacbafgacbbgeacbcdgacbcgdaccbdgaccbgdacccgcaccddeaccegaaccfafacdafeacdcfcacdcgbacddceacddgaacdfbdacdgdaacebedacecagacecddaceddcacedebaceebdacfcafacfcbeacfdccacfeadacfebcacffbbacfgabacfgbaacgaddacgafbacgagaacgbcdacgeacacgfbaadabgeadadeeadafddadafgaadagbeadagcdadbbfeadbddeadbfcdadcaefadcbdfadcbeeadccgbadcdddadcdecadcgadaddacgaddadfaddcceaddfcbaddgbbaddgcaadeacfadeafcadebceadebecadeecbadfagaadfbdcadfbfaadfcaeadfeacadffbaadgaebadgbaeadgcbcadgdacadgebaaeabefaeadfcaeafbeaeagccaebcdeaebfbdaebgadaecagcaeccecaeccgaaecdcdaecddcaececcaecfbcaedabgaedaedaedccdaeeabfaeeaecaeeeacaeeecaaefaafaefbdbaefbeaaefcdaaefdacaefdcaaegbbcaegbcbafabdfafacfcafadagafadgaafafccafafdbafagbcafbadfafbbedafbcfbafbfbcafbfdaafcaedafcbecafccbeafcdccafcdeaafcfbbafdaecafdfbaafeaafafedacaffabdaffbcbafgadaafgbcaafgcabafgdaaagbbagagcbebagccdbagcddaagcfbaagcgaaagdabeagdbbdageaeaagebcbagfaadagfbacbaaefebaaegdbaafeebaagfcbabgagbabgddbaccgdbacdcgbaddbgbadfafbadffabaeeafbafbedbafddcbafedbbaffadbafgacbafgcabagacfbagaedbagcfabagfacbbaddgbbaefdbbafedbbagddbbbdfdbbbebgbbbeedbbbegbbbbgdcbbcbfebbcdfcbbcfcdbbdadgbbdagdbbdbfdbbdbgcbbddgabbeafdbbeagcbbebfcbbecgabbedafbbeeaebbeedbbbefadbbfafcbbfdaebbfdeabbfeadbbgagabbgbdcbbgdbcbbgeacbcacdgbcadfdbcagebbcbceebcbdgbbcbecebcbfafbcbfcdbcbfebbccbfdbccbgcbccccfbcccdebcccgbbcceebbccfaebccgcbbcdbbgbcdcecbcdddcbcdfcbbcdgcabcebgabcecebbcedccbceddbbcefacbcefcabcfaagbcfcaebcfcdbbcfgaabcgadcbcgbeabcgcadbcgeabbdaaegbdabdgbdadcfbdafafbdagaebdagbdbdbbcgbdbbeebdbcbgbdbcdebdbdecbdcacgbdcgacbdcgcabddcdcbdeaagbdeafbbdeagabdecccbdecdbbdeebbbdefabbdfbaebdfcadbdgbdabdgcbbbdgdabbdgeaabeacedbeaebebeagcbbebafdbebbgbbebcddbebdebbebeccbebfbcbecbcebecbfbbecdbdbeceadbecfbbbecfcabedabfbedafbbedbafbedbbebedbebbeeacdbegdaabfabcfbfadafbfadbebfadcdbfafbcbfafdabfbadebfbcdcbfbdccbfbfcabfbgbabfcbafbfccaebfcdbcbfcdcbbfcecabfdabebfdcdabffacbbffbacbffbbbbgaacfbgadccbgaddbbgbbfabgbeacbgbebbbgbfabbgbgaabgcafabgcdcabgcfaabgdbadbgdbcbbgebbbbgfabbcaadfecaadgdcaaefdcaafbgcaafedcaageccabagfcabcdgcabcgdcabdfdcabeedcabgbecacbdgcacbefcacceecaccfdcacebfcacegacacfcdcaddddcadecdcaebdecaebgbcaecbfcaeddccaeedbcaegcacafbddcafbeccafcbecafcebcafedacagaddcagagacagbfacagcdbcbabgecbaddfcbaeedcbagbecbbaffcbbcgccbbdfccbbfebcbcbeecbccbgcbccfccbcefacbcgadcbcgdacbdbedcbdbfccbdddccbdeaecbdeeacbebbfcbebddcbecafcbefbbcbfabfcbfacecbfbafcbfbcdcbfbfacbfcaecbgaebcbgafacbgdbbcbgebaccabdgccagbdccbbeeccbcdeccbdbfccbeafcccbedccccbfcccedbccdacfccdbddccdcafccdcdcccdcfaccdgabcceaagccebebccedbccceddaccefabccegaaccgadbccgdabcdacdecdacedcdacgbcdadcecdadgacdaeafcdaebecdafeacdbafdcdbbcfcdbebdcdbfdacdbgaccdcaedcdcafccdcagbcdccbecdcgbacddcaecddcdbcddceacddfabcdeacdcdeafacdebaecdeccbcdeebacdfaaecdfccaceadafceafcbcebagbcebbbfcebeadcecbcdcecbfacecdcbceecbbcefcabcefcbacfacebcfacfacfadbdcfadeacfafcacfbacecfbagacfbbafcfbbcdcfbccccfcabecfcaebcfcbeacfcdaccfdabdcfebcacgaagacgabebcgafabcgafbacgbaebcgbbbdcgbbeacgbcbccgbfaacgcabdcgcbadcgcbbccgdbaccgddaacgfabadaadeedaaebgdaaeeddaaffbdabagedabbfedabccgdabcdfdabcfddabcgcdabddedabegadabfafdabgaedabgccdacadgdaccbgdaccfcdacdagdacdcedacdgadacebedacgaddadaeedadbcfdadbdedadcgadaddcddaddfadaecfadaedbddaeedadaefacdaegbadafbcddagbaedagcbcdagccbdagdacdagebadbacdfdbacgcdbaeagdbaeecdbaefbdbafebdbcbcfdbccgadbceeadbdaeddbebcddbecaedbfcbcdbfcdadbgaeadbgcbbdcaafedcacdedcacfcdcadcedcaecddcafbddcbadfdcbbgbdcbcfbdcbdbedcbfaddcbfcbdcbgacdccbagdcccdcdccdaedcceaddccfacdcdcbddcdebbdcebbddceccbdcedcadceebadcfcacdcgacbddabcfddafdaddbccdddbebcddbedaddbfbbddbfcaddcbbeddcbfaddcdcbddcddaddcfabdddadcdddbaeddeaaeddeaccddebadddebcbddecacddedbaddfcabddfcbaddgaacdeabcedeabdddeaeaddeagabdeagbadebaecdebbbedebbfadebcaedebcbddebfbadecdbbdecebadedcbbdeddabdefbabdegaabdegabadfaabfdfaadddfaagadfabcddfacdbdfaddadfaebbdfaecadfbbeadfbdbbdfcbdadfdbacdgaabedgabbddgabeadgaccbdgaeabdgbdbadgcaaddgeaabeaadfceaaeeceaagcceabaefeabagdeabbcgeabcdeeabdceeacdafeacdcdeacdfaeadabgeadbeceaddeaeadecbeaeafbeaebcdeaeddaeafdcaeagcbbeagccaeagdbaebaadgebaaefebaebeebaeebebafdbebafeaebbfadebcagbebcbceebcdccebdaddebdagaebddcbebdecaebeaafebeacdebedbbebedcaebfdbaebfeaaebgabcebgacbecabbgecabdeecaedbecagbbecbadeecbdccecbeadecbfbbecbgbaecccbdeccfabecdaafecdcadeceadbeceeaaecfacbecfbbbecfdaaedaafcedabbfedadccedaedaedafacedagabedbcbdedbdadedbgaaedcbaeeddeaaedecbaedfabbeeaabfeeabebeeaddaeebbcceecdabeeceaaeeeaaceeecaaeefabaeegaaaefaaafefaadcefaccbefbcacefbdabefcdaaefdbabefeaabegbadaegbdaafaaafefaabeefaagadfaagbcfaagdafabcgafabfbcfacaedfacbecfadbbefadbebfadeacfaeacdfafaccfagdaafbaagcfbabbgfbabcffbacagfbacecfbadfafbaeeafbagcafbbafcfbbdbdfbcbdcfbcdbcfbcecafbcfbafbdaebfbdfaafbeadbfbebdafbfbcafcaabgfcaddbfcagbafcbaagfcbaddfcbaecfcbcaefcbcdbfcbdadfcbebbfcbfbafcdaccfcdbbcfcdcacfcebbbfdabaffdacaefdaeacfdbbdbfdbcdafdcaeafdcccafdceaafddacbfdeacafdfaabfeabaefeaccbfeacdafeadacfebabdfebbcbfecacbfeccabfecdaaffbacbffcbabffeaaafgadaafgbbabgaaaeegaabbggaaccegaacgagabbecgabbgagabfcagacacegaccbdgacfbagadaafgaecbbgafadagbaacfgbabaggbafacgbagabgbbcdbgbbeacgbbgaagbcaafgbcafagbcbdbgbccdagbcdacgbdabdgbdaeagbdcbbgbddabgbeadagbfbbagcabbegcacaegcaceagcaecagcafabgcbbdbgcbdbbgcbdcagcccbbgcdabcgcdcabgcddaagceacagdaadcgdacadgdaccbgdbaccgdbbcbgdcbbbgeadbagebaadgebbcagebdaagecacagfaadagfbbbaggbaabaabegeaaccfgaacdgeaacegdaacgcfaadffcaadfgbaadgceaaedfdaaefagaaefbfaafcdfaafddeaafeagaafeecaaffdcaafgccaagaefaagbdfaagcgbaagdddaagefaabacggabaeffabaffeabbdffabbgfcabcddgabcfedabcffcabcgagabcgceabdagfabdefcabeeagabfcfcabfdgaabfedcabffbdabgaeeabgbcfabgbfcabgfadacafeeacbecgacbfcfacbffcacbgceacccfeaccebgaccfbfaccgfaacdcfdacddcfacdffaacdgbdacebcgacebdfacebfdacecedacedceacedecacedfbaceebeaceecdacegadacfadfacfaeeacfagcacfcddacfcfbacfeccacfedbacgagbacgbceacgbddacgbecacgdeaacgfacadacgeadaeeeadaefdadafgbadagceadbbffadbegbadbgafadbgdcadcageaddadgaddbeeaddbfdaddcfcaddecdaddedcadeacgadebfcadebgbadecbfadeedbadfaedadfcebadfeadadfecbadgabfadgafbadgceaaeacefaeacgdaeadfdaeaebgaeagebaebbfeaebccgaebcgcaebdbgaebgeaaecadgaecbdfaecbgcaeccgbaecdgaaececdaecfccaecgadaedacgaedbedaedcagaedddcaedeaeaedfbcaedgbbaedgcaaeeabgaeecbeaeecebaeecfaaeeeadaeeebcaeeedaaefabfaefddaaeffbaaefgaaaegaebaegbaeaegcadaegccbafaaegafabdgafacgcafaddeafaffaafageaafbbeeafbdagafcafdafcbfcafcddcafcfdaafcgcaafdacfafdaedafdagbafdcafafdcbeafdgbaafeddaafeeacafefabaffbdbaffcadafgcacagaaefagaafeagabeeagadbfagbbfcagbddcagbeccagbeeaagbfbcagbgacagcabgagcbddagccafagcccdagccfaagcdbdagceadagcecbagcgabagddcbagebeaagecbcagfaccagfbadaggbbbaggbcabaadfgbaaggcbabdegbabefebabegdbabfeebabgcfbacffcbacfgbbacgbfbadbegbadcefbadcgdbadddfbadedebaededbaeebfbaeefbbafbfdbafbgcbafdgabafebebafgadbafgbcbafgcbbagacgbagcddbagdbebagedbbbacfgbbacgfbbafdfbbafeebbagbgbbbbfgbbbbgfbbbddgbbbecgbbbedfbbbefdbbbfedbbbgfbbbcbgebbcdcgbbcecfbbcfbfbbcgbebbdaffbbdbefbbdccgbbdceebbdcgcbbddcfbbddedbbdgdbbbeaefbbebfdbbebgcbbecgbbbefaebbefccbbfbfcbbfcagbbfcddbbfedbbbfgbbbbgabgbbgbecbbgcafbbgccdbbgddbbbgebcbbgedabbgfcabcacgebcaffcbcafgbbcagagbcagddbcbcefbcbgbebccaegbccagebccecebcdaefbcdagdbcdbfdbcddcebcddfbbcdeafbcdeebbcdfccbcdfeabcdgcbbcebgbbcecddbcececbcedafbceeccbcefdabcegacbcfabgbcfagbbcfccdbcfcfabcfecbbcffacbcgcaebdabegbdaecfbdaedebdaefcbdafagbdafgabdbaffbdbccgbdbdedbdbfdcbdbgccbdcaefbdcbcgbdccgbbdcebebdcecdbdceebbdcfbdbdcfeabdcgbcbddafdbddcbfbddcfbbddfadbddgbbbdeacfbdeaedbdeeadbdeecbbdefcabdfabfbdfafbbdfbbebdfbebbdfcaebdfebbbdgabebdgccbbdgdcabdgebabeaaegbeabdgbeacgcbeafbebeagbdbebagdbebcgbbebdgabebfaebebgdabecddcbeceeabecfbcbedbecbedebcbeeacebeebafbefabebefaebbefbbdbefccbbegaeabegdbabegeaabfaadgbfaafebfabcgbfacedbfacfcbfadecbfaefabfbacgbfbagcbfbdafbfcacfbfcbgabfccfabfcdbdbfcdccbfcecbbfcedabfcfcabfdbdcbfeaebbfebaebfebdbbffeaabfgabcbgacbfbgacfbbgaeaebgafbcbgbabgbgbbagbgbbddbgbcebbgbdaebgbddbbgcaecbgcafbbgccbdbgcceabgcgaabgdaafbgdbeabgddbbbgdebabgeaccbgeaeabgfcabcaacfgcaadegcaaedgcaafeecaagedcabaggcabdfecabfcfcabgbfcabgfbcacdeecacfcecacffbcacgcdcadaegcadbgdcadcgccadefbcadfafcaeafecaebgccaeeafcaeebecaefeacagccdcagebccbaddgcbaefdcbbbegcbbcdgcbbecfcbcaegcbcaffcbccfdcbceddcbdbdfcbdbeecbdbgccbdccfcbdcdecbddddcbdfbdcbdfcccbeacgcbeadfcbebcfcbecfbcbedbecbedebcbeebdcbeeeacbfabgcbfcbecbfdbdcbfdeacbfebccbfedacbfgbacbgdcbcbgfabccacefccaebgccaegbccafecccaffbccbaegccbbefccbbfeccbccgccbcfdccbdgbccbeddccbfdccccafecccbgccccebecccecdcccfbdcccfdbcccgbcccdcceccdcecccdcgaccdfadccdfcbccdgcacceaedccebbfcceedaccfcccccfebbccgcbccdaaegcdacfdcdadbgcdaddecdaeagcdaececdaeddcdaeeccdaegacdafcdcdagaecdagbdcdbdagcdbedccdbgadcdcbbgcdcecccdcfadcddadecdddaecdddcccdecaecdedbccdeeaccdefbacdegaacdfafacdfbcccdfbdbcdfeabcdgcaccdgdbaceabeeceacgbceadagceadfbceaefaceafdbceafeaceagdacebagccebccecebfadcebfbccecbagcecbddceccfacecdeacecedacedbafceeabeceeacdcefabdcefacccefbcbcefdabcefeaacegaadcegbbbcegcabcfaaeecfaafdcfaagccfabdecfacgacfaeaecfafdacfbacfcfbbcecfbcfacfbeadcfbgbacfccbdcfcebbcfdaafcfeabdcffbcacgaagbcgacbecgacdccgafbbcgbbbecgbcbdcgcbaecgdadbcgdbcbcgdbdacgdcbbcgeaadcgecabcgfcaadaacegdaaedfdaaeeedaaegcdabafgdabegbdabfagdacbdgdacbefdacceedacdgbdacfbedacffadacgccdadafedadcdedadcfcdadcgbdadeebdadfeadaeagcdaebbgdaebgbdaececdaedfadafbagdafbbfdafbdddafbfbdafdaedafeaddagabfdagadddagaecdagceadagfbadbaafgdbaecfdbafecdbafgadbagbedbagdcdbagfadbbdeddbbecedbbedddbbfafdbbgccdbcbdfdbccbgdbcdecdbcfbddbcfccdbcfdbdbcgbcdbdcfbdbddbedbdddcdbdedbdbdfaddbdfbcdbebdddbebecdbeddbdbfaagdbfbbedbfbebdbfcaedbfceadbfdcbdbgbaedbgcaddcabdgdcaccgdcacdfdcaceedcacgcdcadbgdcadeddcadfcdcadgbdcagbddcagccdcageadcbadgdcbdfbdcbfdbdcbgaddccbcfdccddcdcceaedccedbdccfdadcdbbfdcdccddcdedadcdfcadceafbdcebafdcebdcdcecccdcedbcdceebbdceecadcfabedcfacddcfadcdcfbeadcfcbcdcgaeadcgdabddacbgddaccfddadddddbbcfddbbfcddbcddddbdafddbdfaddbeaeddbedbddccbedddabfddddcbdddeacdddfabddebaeddebeaddecadddecdaddfabdddfadbddfcacddfccadeaaeedeacagdeacgadebcafdebcbedebfcadecabfdecacedecafbdecagadecbafdecbbedeccbddecdcbdedaafdedafadedbbddedbeadedeabdedebadeeaccdefabcdefbacdefdaadfaabgdfaacfdfaadedfabcedfabecdfadaedfbafbdfbagadfbbdcdfbcaedfbdcbdfbeacdfbfabdfcbdbdfcbeadfcccbdfcdbbdfcebadfdaccdfddabdfeadadgabdcdgacccdgadaddgadbcdgafbadgbaafdgbafadgbcaddgbccbdgbdcadgbeabdgcbcbeaabgeeaacefeaadgceaagfaeabageeabcfdeabdbgeabefbeabfafeabfebeaceebeacefaeadacgeadaeeeadbbgeadbedeadcbfeadecceadfadeadgaceaebddeaecafeaeedaeaefbbeafafbeafdadeagafaeagdbbeagebaebacgcebafebebbbfdebbcbgebbcdeebbdecebbgadebcagcebccceebceaeebceccebcfbcebcgacebcgbbebdacfebdafcebdbagebdbddebddaeebdebcebdfcaebeaecebecaeebecccebfbccebfccbebfdcaebgbdaebgeaaecaebeecaecdecaeebecafbdecagcbecbbcfecbedbecbfadeccbceecdagaecdbbeecdbcdecddbcecdfabeceaafecebdbeceebaecfbcbecfbdaecfcbbecfdbaecgcbaedaaeeedabededabfcedacbfedacceedacgaedaeccedafcbedafdaedbbfbedbbgaedbddbedbedaedbfacedbgabedcfabeddbbdeddbcceddcadedecacededbaedfcabedgabbeeabageeabceeeacafeeacebeeadcceeaddbeeaebceebaceeebaeceebbafeebbdceebeaceecdbbeedabdeedbdaeeeaadeefaacefaaagefaceaefadadefadbcefaddaefaecaefagaaefbbaeefcabdefccacegaabeegacdaegadacegadbbegbbdaegbcacegbccaegbdabegbdbaegcacbegdaacfaacdffaadbgfaaefbfaafcdfabadgfabfaefabgadfabgbcfacbdefaccgafacddcfacebdfacfadfadabgfadacffadbbffadcdcfadcebfaddbdfaddccfadfcafadgabfaeafbfaecdbfaeecafaefbafagaccfagaeafbabcgfbabeefbadagfbafeafbbcagfbbdbefbbeccfbcacffbcbddfbccfafbcdbdfbcddbfbcgabfbdceafbdddafbdgaafbebeafbecadfbeccbfbeeabfbfaccfbgcbafcacddfcacecfcadbefcafdafcagacfcbacffcbadefcbbfbfcbcaffcbedafccbfafcccaefcccbdfcceacfcdaaffcdacdfcdbbdfcebadfceccafcfbacfdaagbfdabcefdadeafdafbbfdbabffdbacefdbbcdfdbbebfdbfabfdcccbfddadbfddbcbfdeacbfdecbafdgaabfeaaagfeaafbfeaagafeabcdfeabfafeacaefeaeacfeafabfebbeafebcbcfecbdafeeacafeecaafefaabfegaaaffaacdffabaeffacadffacdaffbaaeffbcacffcbbbffcbcafgabbcfgabdafgacbbfgbdaagaaadggaaagdgaacfcgaafbdgaafdbgaagcbgabddcgaccafgacecbgaddadgaddbcgadddagadgaagaeaafgaeafagaecadgaedbbgafaeagafeaagagadagagcbagbabbggbabcfgbabdegbadcdgbbafcgbbagbgbbecbgbbfacgbcaddgbcbcdgbcbdcgbcdbcgbcfabgbdacdgbdafagbdbccgbgabbgbgcaagcaabggcacebgcadbdgcaeadgcbbbegcbfbagccdacgccdcagccebagcdadbgceabcgcecabgcfacagcgaabgcgbaagdaaecgdacdbgdafabgdbadcgdbbccgdbdcagdbebagdcaeagdcbcbgdcbdagddadagddbcagdeaacgdgaaageaebagebaaegebaeagebbadgebccagecaadgecbcagedbbagfaaeagfacacgfaccaggabacggabcaggbbabgggggfgaaagegaabgdgaabgefaacegeaadbggaaddgeaadedgaadeefaadffdaadgedaaebfgaaeeeeaaegceaafbgeaafcfeaafdcgaagcfdaaggbdabafgeabaggdabbfdgabbgeeabccgfabcdffabceefabebffabecgdabeeedabeegbabfccgabfeceabgbdfabgdfbabgeafabgecdacacggacageeacbbggacbcfgacbcgfacbdgeacbfgcacbgfcacbggbaccbfgacccffaccedfaccgbfaccgceaccgfbacdagfacdecfacdeedacdfceacdgcdacdgdcaceageacebefacedbgacefbeacefdcacfafeacfbgcacfebeacfefaacgbbgacgbgbacgcgaacgfadadaeefadafgcadbbfgadbcffadbddgadbecgadbfcfadbgecadcbffadcbgeadccefadccgdadcfddadcffbadcgafaddbdgaddeagaddfbeaddfcdaddgccaddgeaadecedadedfbadeecdadfagcadfcbfadfcecadfcfbadfdbeadfdcdadgbagadgdbdadgddbaeaaggaeaegcaeafedaebbegaebcfeaebddfaebfceaebgdcaecdgbaeceecaedcbgaeddbfaedefaaeeafdaeebedaeebfcaeecbfaeecfbaeedfaaeeeeaaeegacaefadeaefbceaefcebaefdccaefeadaefedaaefgbaaegfbaafaagfafaddfafadfdafaebgafagebafbageafbbfeafcafeafcbcgafcbdfafcbeeafcgadafcgdaafdagcafdbbgafdcceafdcfbafdeccafedbdafegbaaffbebafffabafgbbdafgbdbafgcbcafgdcaafgeabagabdgagabfeagaceeagaddeagafcdagcacgagcbdeagccddagccecagceeaagdacfagdbagagdbceagdeadagdebcageaecagebafagecccageceaageeacageecaaggaccaggbdabaaegfbaafffbabfdgbacfdfbadddgbaddgdbadgecbaebffbaecdgbaeddfbaefagbaegcdbafbfebafecebaffcdbagagdbagcdebagcgbbagfeabbagdfbbagfdbbbegdbbbfcgbbbfeebbbfgcbbbgfcbbcfbgbbcfedbbdddfbbdecfbbdfecbbeagebbebdgbbecfdbbedbgbbfaefbbfccfbbfdagbbfgadbbgadfbbgcbfbbgeccbbgeeabcaegdbcagcfbcbaggbcbcgebcbddgbcbdfebcbefdbcbfgbbcbgbfbccecfbcdbefbcdcfdbcdeagbcdeecbcdegabcdfebbceadgbcecdebcefaebcefbdbcefdbbcfaeebcfagcbcfbedbcffadbcfgacbcgcebbdacffbdafbgbdafedbdagcebdbcefbdbdgcbdbegbbdbgdcbdcaegbdcgaebddbcgbddbgcbddcfcbdddddbdddgabddfdbbddfeabdebfcbdecagbdececbdecfbbdefcbbdfadebdfbcebdfcafbdfcdcbdfecbbdffacbdgacebdgbbebdgbebbdgbfabdgcbdbdgebbbeaafgbeaagfbeacdgbeaecfbebcgcbebdedbebegabebfbebebgbdbebgdbbebgeabecagdbecbcgbecbgcbeccgbbecdagbecdddbececdbecgbcbedagcbedbcfbedcddbeddcdbeebbfbeebecbefbbebegacdbegbaebegbccbegeabbfadbgbfaefbbfaffabfagaebfagbdbfbcgbbfbdcebfbdecbfbfaebfbgdabfccddbfcdafbfdafcbfdbcebfdbecbfeabfbfedcbbfeebbbffaafbffbccbffdcabffeabbgabcgbgabeebgabgcbgacbgbgaebebgafeabgbbbgbgbcagbgcaedbgcfacbgdagabgdcaebgdebbbgdecabgebeabgfaccbgfaeabgfcbbbgfccabgfeaabggabccaacggcaafgdcabfcgcabfgccabgbgcacbfgcacdgdcacedfcacfbgcacffccacgagcacggacadbgecadfeccadgdccaeaegcaebfecaebgdcaeceecaeeddcaegdbcaegeacafcbgcafdagcafdbfcafdddcafeafcagbbgcagcfbcagdcdcagddccageeacaggaccbbbfgcbbdefcbbedfcbbfgbcbbgagcbbgeccbcbegcbcdgccbcfagcbdbfecbdcdfcbdebfcbdefbcbeadgcbebcgcbecedcbedddcbeeafcbeebecbefdbcbefeacbfacgcbfbgbcbgafccbgagbcbgbbfcbgbeccbgbgacbgcafcbgcbecbgcebcbgdcccbgedacbgfaccbgfbbcbgfcaccacegccadefccafgbccbbegccbeedcccaegcccagecccececccefbcccffacccgdbccdafeccdbeeccdcgbccdedcccebdeccecddccececccfabgccfacfccfadeccfdbdccfdeaccfeadccgbcdccgbdcccgbebccgbfaccgeacccggaacdadfdcdaffbcdbbfecdbbgdcdbeddcdbfdccdbfebcdbgbdcdbgcccdcaefcdcagdcdcbfdcdcdfbcddaeecddceccddcgacddfbccddfdacdedcccdfccccdfcdbcdfdadcdfdbccdgcadcdgebaceadcfceaddecebbdfcebcgbcebdeccebgdacecccececdafcecdcdcecfadcecfcbcecgcacedadecedbfbcedcdcceddbdceddccceddeacedeadceebfaceeecacefafacefbaecefbdbcefcbccegbcbcegcbbcegeaacfabdfcfacedcfadagcfaedccfaeebcfaefacfagcbcfbacgcfbbfccfbbgbcfbcbfcfbceccfbfadcfbfbccfbgcacfccafcfccebcfccfacfcecbcfcfbbcfdccccfdeaccfdebbcfeabecfeaebcfedcacffadbcffeaacfgabccgaadfcgaceccgadafcgadcdcgaeeacgafadcgafdacgbafccgbbddcgbcdccgbdeacgbedacgcdcbcgcddacgdbcccgdcadcgdccbcgdfaacgeabdcgeaeacgedabcgfaadcggacadaaegddaageddabcffdabfcfdacededacfecdacgcddadbdgdaddbgdadgeadaebcgdaebdfdaebgcdaeedcdaeefadaefbddafcdddafddcdafeeadagabgdagbecdagbfbdagcbedaggbadbaffcdbbcefdbbdeedbbffbdbcbefdbccfddbcdcfdbcdeddbcdfcdbcfbedbcgaedbcgeadbddcedbdddddbddfbdbeddcdbedfadbeeccdbefbcdbegacdbfbagdbfeaddbfedadbgaagdbgcbddbgcdbdbgdbcdcaagfdcabffdcaededcagdcdcbdcfdcbdeddcbebfdcbegadcbfcddcbffadcbgbddcbgccdccccfdccdagdccdecdccdfbdccdgadccfbddcdagcdcdbbgdcdbfcdcdccedcdeaedcdeccdcdfdadcdgcadceagbdceeaddcfbcddcfcbddcgaebdcgdbbddaeceddaefbddageaddbbfdddbcbgddbdbfddbdceddbdddddbefaddbfaeddcafdddcbdeddcbfcddcgcadddabgdddcbedddcdcdddfacddeaagddeaddddebafddecccddeddaddeeacddegaaddfbaeddfbccddfbdbddfccbddgabddeafaedeagcbdebacgdebbbgdebcagdebdafdebgcadecbecdedadddedebbdeeaebdeebaedeedcadefaeadegacbdfaafddfabcfdfacdddfaeeadfagacdfbbagdfbbfbdfbedadfcaecdfcagadfccbddfdcaddfdeabdfgaacdgaaeddgabcedgaccddgaeaddgaecbdgaedadgagbadgbaecdgbbdcdgbbebdgbcdbdgbfabdgbfbadgcbdbdgdadbdgdbdadgeaaddgeacbdgebcadgfacaeaabgfeaaedfeaafgbeabbffeabecfeabfceeabfddeabgbeeabgebeabgfaeaccdfeacdfceacffaeacgaeeacgcceadagdeadbgceaddceeadecdeadfaeeadfdbeadgcbeaeafdeaecceeaecddeaeddceaedfaeaefcbeaegbbeafbageafdbdeagbbeeagddaeagecaebaagfebaeedebaegbebbdbgebbeagebbfcdebbfdcebbgccebbgeaebceafebcfccebcgadebdafdebdddcebdeccebeadeebebagebebgaebecafebecfaebeddbebedeaebfaagebgbbdebgcadebgcbcebgebaecaaffecaeceecagccecagdbecbcbgecbdceecbdddecbfeaecbgadeccbdeeccbedeccgcaecdbagecdcbeecdcfaecdddbecdeadecdedaeceabfeceaddeceaececeafbecebbeecebcdececeaecedadeceeacecegaaecfaebecfcadecfdcaecgaccecgdabecgdbaedaccfedacededbbdeedbbgbedbcecedbcgaedbdafedbddcedbdfaedbeaeedbedbedcadeedcccdedcdeaedceadedcebceddaageddaeceddbafeddbdceddccceddceaeddfabedeadcedebdbedfaaeedfcbbedgbcaedgcabeeacageeacddeeafadeebacfeebccdeebedaeecabfeecbafeecbdceecdcbeecfbaeedbaeeeddcaeedeabeeecaceeecbbeefacbeefadaeefbbbeefbcaeefdaaeegabbefabagefafacefafcaefbagaefbbcdefbbfaefbfabefcdcaefdaccefdadbefdcacefeadaefecabegacccegadadegadbcegbadcegbbaeegbcbcegbdbbegbfaaegcaaeegcdbaegceaaegdadaegdbcaegeaacegebbaegecaafaabfffaacdgfaaefcfaafddfaafecfaaffbfaagcdfaagdcfabaegfabcdffabcgcfabdcffabfebfabgdbfaccdefacdfbfacfeafacgadfadaeefadafdfadcecfadcgafaddfafadgacfaeagbfaebecfafaddfafaecfafcaefafdbcfafdcbfagbaefagdacfbabfefbaebffbaegafbaffafbbadgfbbbdffbbdfbfbbebefbbfeafbcbcffbcbedfbcccefbcfbcfbcgbbfbdcaffbdcbefbddaefbddbdfbdecbfbdfacfbdfcafbeabffbeacefbecccfbfadcfbfdbbfbfdcafbgbbcfbgbdafcabeefcacdefcadbffcafeafcbbdefcbcbffcbdebfcbfcbfcbgbbfcbgcafccfbbfcdabffcdbbefcdebbfcdfabfcdgaafcecdafcedbbfcfaaefcgaadfcgcbafdaaeefdabcffdabdefdacecfdafdafdagcafdbbcefdbcfafdbdeafdbeadfdcbebfdcecafddabefddbaefdddcafddfaafdebcbfdgbbafeaacffeaaedfeabcefebbcdfebeacfebecafecbdbfedbbcfeddabfedeaafeeaadfeebbbfeebcaffacaeffagaaffbadcffbcdaffcbadffdabcffdadaffeaacfgabdbfgadacfgbbcbfgbcacfgbcbbfgbeaafgcacbfgdaacfgdabbgaabdggaaddegaaeaggaaeecgaafebgaagccgabaefgabbeegabbfdgabbgcgabcbggabcdegabdcegabfaegabfdbgabfeagacafdgaccbfgacccegaccddgacdcdgadadegadaedgadagbgadbecgadcafgadcebgaddaegadeadgadgabgaeafbgaebbegaecaegaedadgaeeacgafeabgagaaegagabdgagaccgbaaefgbaagdgbabeegbafaegbafdbgbagbcgbbadfgbbbbggbbbgbgbbcaggbbfbcgbcafcgbcbddgbcccdgbcdbdgbcdeagbdbbegbddbcgbebaegbebccgbecdagbfcbbgbgadagbgbacgcaadfgcaaeegcabcfgcacecgcadafgcaedbgcafadgcafbcgcagbbgcbbbfgcbdbdgcbgbagcdbbdgceabdgceadbgcebcbgcedbagcgaacgcgabbgcgbabgdabaggdabddgdabgagdacebgdbabfgdbafbgdbfbagdcafagdcbeagdcebagddaccgddcbbgddccagdebcagdfacageabafgeabdcgeadbcgebaafgebaebgebcadgebeabgebfaagecbadgecdbagedadageeacagfaabegfacbcgfaeabgfaebagfbaeagfbdabgfcaadgfcadagfdaacgfeabaggacacggbacbggcacaggdbaaaabfgfaacegfaadeegaadfdgaaeeefaaeefeaaefeeaaegdeaafddgaafdefaaffbgaaffedaafgbfaafgfbaagdeeaagefcaaggcdabafgfabbdggabbgfeabbggdabdgedabedfeabffagabffecabfgbeabgaffabgbdgabgbefabgbfeabgdgbabgeagabggdbacadggacagefacagfeacaggdacbeegacbeffacbfdgaccffdaccgbgaccgcfacdbfgacddgdacecgdacedcgacefagacefbfacefecacfcdfacfcfdacfegaacffcdacffdcacgagdacgccfacgdbfacgdgaadaegeadaffeadcdfeadcegcadcgecadcgfbaddfbfaddfddaddfgaadeaegadeaffadeddeadeegaadfafeadfccfadfdfbadfdgaadfebeadffdbadgbdeadgbedadgdafadgfbcadgfcbadgfdaaeaeefaeagcfaebdefaebdfeaebffcaebfgbaecbffaeccefaecfbfaecgfaaeddedaedeecaeeaefaeeccfaeedceaeedddaeeeafaeefdbaefbedaefcgaaeffbcaegadeaegddbaegebcaeggbaafadfeafaegcafafgbafagddafbbffafbdfdafbecfafbfgaafbgafafbgdcafccdfafceagafceddafdaefafdcbgafddddafdeafafdgbcafdgcbafeadfafeedbafeeeaafefadaffafcaffbbfaffcebaffdeaafgaagafgbbeafgcdbafgfabagacgdagagdcagbaffagbcdfagbdbgagbegaagbgdbagccfcagdafdagdagcagdcbfagdcecagddafagddbeagdfadagdfcbagdgcaageabgageafcageagbagebddagebfbagecafageccdagecdcagfafbagfbbeagfcaeagfeacaggbaeaggbdbaggfaababefgbacgdfbaddffbaddgebadegdbadgcfbadggbbaefbgbaefcfbaegagbaegcebaegfbbafafgbafcfebafeedbafefcbaffecbafffbbagaffbagbefbagccgbagdbgbagfebbaggccbaggeabbafffbbbeegbbbffebbbgeebbbgfdbbcggbbbdecgbbdffcbbdgbfbbdgcebbeecfbbegafbbegcdbbfagebbfcgcbbfdbgbbfdcfbbfdedbbfdfcbbffcdbbfgdbbbgafebbgbdfbbgbfdbbgccfbbgcgbbbgdagbbgdecbbgecdbbgfccbbggbcbbggcbbbggdabcafgdbcagdfbcaggcbcbeefbcbefebcbfcgbcbffdbcbfgcbccgddbcdbegbcdbffbcdbgebcdecfbcdfagbcdfgabcdgafbcebefbcededbcegaebcfbfdbcfcdebcfcgbbcffbdbcgddcbcgdfabdacgfbdaeefbdaefebdaegdbdafeebdbegcbdbfcfbdbgddbdcafgbdcbffbdccefbdcddfbdcecfbdcefcbdcffbbddaffbddcdfbddcgcbddefbbdebeebdebgcbdecbgbdedecbdeeafbdeefabdfbfcbdfcgabdfdcdbdgacfbdgdbdbdggabbeacffbeadgdbeaeeebeafbgbeafcfbeaggabebafgbebcefbebecfbebfddbecbgdbecfafbecffabedadgbedagdbedbdfbedcfcbedfaebedfeabeecfbbeeddcbeedfabeeeaebefadebefaedbefbecbefcfabefdaebefdeabefecbbeffcabegabfbegdbcbegddabegecabfabgebfacgdbfadgcbfafbfbfafddbfbbdgbfbbefbfbceebfbcgcbfbecebfbgccbfbgdbbfcdcebfcebebfceebbfcefabfcgadbfdaeebfdbgbbfecbebfeccdbfedbdbfefcabfegabbffebbbfgbaebfgebabgaeddbgaefbbgbbeebgbcbgbgbdagbgbdddbgbdecbgbebebgbfeabgcagcbgcbcfbgcdebbgcdfabgcfbcbgcgbbbgcgcabgdaedbgdafcbgdbfbbgdbgabgdfacbgedcbbgfeabbggaaebggcaccaaegfcaagdgcabfefcabgfdcacgedcadfcfcadfgbcadgagcadggacaeafgcaebgecaeddfcaeeedcaegcdcafagecafbefcafbfecafdcfcafddecafebfcafegacaffcdcafgcccagafecagbfdcagcdecagdeccbafdgcbbdgecbbfgccbbgedcbcfedcbcgbfcbdddfcbdffbcbebgdcbeececbeeddcbeeeccbegaecbegbdcbegdbcbfbcgcbfcbgcbffbdcbgagccbgbgbcbgcbfcbgcddcbgcgacbgdfacbgeccccacfgccaegdccagdeccbdgdccbecgccbeeeccbffcccbgecccbgfbcccagfcccfcecccfddccdaegccdcdfccdcfdccdfebcceadgcceaefcceccfccecedccecfcccedecccfbdeccfbfcccfcddccfdebccfebdccfeeaccffbcccgbagccgbbfccgcbeccgdeaccgfbbccgfcacdacffcdadfecdafbgcdagagcdagddcdbddfcdbeedcdbfagcdcaegcdcbefcdccfdcdccgccdcfafcdcgaecddbgccdddeccddefacdeacgcdeaeecdeafdcdecfbcdedbecdeeaecdefadcdefbccdfacfcdfbcecdfbgacdfdaecdfdeaceaagfceagbeceagfacebagecebcfdcebeddcebeeccebgcccebgdbcecbcgcecbeececcdececgbccedacgcedbdecedceccedcfbcedeaecedebdcededbceeafcceeagbceebfbceebgaceedccceeeadceeedaceefcacefagacefbdccefdbccefecacegadccfabgdcfacdfcfadedcfaeagcfaeeccfafbecfafdccfafebcfagbdcfbbgccfbcedcfbecdcfbfeacfccddcfceeacfcfdacfcgaccfdagbcfdbbfcfdbddcfdbeccfdbgacfdccdcfdcfacfddaecfdddbcfdebccfeceacfedbccfedcbcfeddacfegaacffbaecffbcccffbdbcffcdacffebacfgacccfgadbcfgbadcfgcaccgabeecgabgccgaeafcgaebecgagbccgbbdecgbcagcgbceccgbcfbcgccafcgccebcgcfaccgdaagcgdccccgdddacgdebbcgdecacgdgaacgeaafcgecadcgfabdcgfbbccgfdabcggcabdaafdgdabbggdabgcfdabgdedacbgfdacecgdacfdedacgagdacgdddaddgcdadededaecdfdaefcddafbeedafbfddafceddafeebdafgbcdafgcbdagbbgdagbgbdagcgadagddcdageccdageeadagfcbdbbbfgdbbcegdbbdfedbbedfdbbgfbdbbggadbcbgedbcededbceeddbcgdcdbdagedbdcdfdbdecedbdfdcdbdgeadbebcgdbebgcdbeddddbedecdbeeafdbeefadbefbddbefccdbegbcdbfcbfdbfeccdbfeeadbffaddbfgacdbgbdddbgfbbdcaddgdcadefdcaefddcbcgddcbdeedcbfagdccaegdccbfedcccdfdccdfcdccefbdcdbcgdcdbgcdcdcfcdceacgdcebfcdcecagdcedafdcedcddcedebdcfbbfdcfbcedcfbfbdcfcebdcfcfadcfebcdcgabfdcgfabddacfeddagafddbeceddbegaddbfafddbfbeddbgccddcbfdddccedddceafddcgdadddafddddbgbddddafdddgacddeagbddedbdddeebcddfabfddfaddddfcccddfdcbddgaafddgbaeddgfaadeacfddeadbgdeaeagdeafcddeagbddebbfddebdagdecccedecddcdeceaedecebddececcdedabgdedfacdedfbbdedfcadedgabdedgbadeeceadefafadefbaedefcaddefdacdefebadegbcbdfaafedfabfddfabgcdfadecdfaeafdfaefadfbafddfbbcfdfbdcddfbddcdfbebddfccfadfcdaedfcdccdfceaddfcebcdfdacedfdddadfdfbadfeaafdfeacddfeaebdfeafadffaeadffbcbdffdbadfgadadfgbacdfgcbadgabfcdgacgadgaebddgafdadgbbagdgbdbddgbfcadgcaagdgcbdcdgcbfadgccdbdgcdcbdgcecadgdafadgdccbdgdeabdgfadadggbbaeaadegeaadffeaadgeeaaegdeaafcgeaagedeaaggbeabaggeabcffeabcgeeabdgdeabedfeabffceabgageabgfbeacedeeacefceacegbeacfbfeacffbeacgcdeacgfaeadceeeaddfceaddgbeadeceeadegaeadfafeadgcceaecdeeaecfceaeeebeaegadeafagceafcceeafebdeaffdaeagabgeagbddeagfcaebacegebaedfebaeeeebafcfebafdeebbbffebbfagebbfbfebbffbebbfgaebcaegebcageebcbefebcdbgebcdfcebcfafebdcbgebdcedebdcfcebddbfebddceebdeebebebedebecagebecbfebecceebefadebfaedebfagbebfgbaebgaceebgddaebgecaebggaaecadcgecaebgecaeedecafceecbaegecbbefecbeagecbeddecbfafecbgeaeccagdeccbcgecceebeccfbdeccfdbecdbbgecdbgbecdcbfecddbeecdeaeecdedbecdfdaecdgcaecebbfececafeceddbeceedaecefcaecfbafecfbbeecfbdcecfbebecfbfaecfcccecfebbecffabecgbaeecgcbcecgccbedadgbedaeagedaeceedafbeedbbeeedbccfedbdceedbgdaedcagcedccceedccecedccfbedccgaedcddcedcdfaedcfadedcfcbedcfdaeddafceddbbfeddbddeddcafeddccdeddcebedeaagedebdcedebebededcbedeebbedefabedfccbedffaaedgcaceeaaefeeadddeeaeafeebafdeebdbeeebedbeebgbbeecbceeeccebeeccfaeedgaaeeeaebeeedcaeefdbaeegbaceegdaaefacbfefacgaefadafefadbeefadcdefadfaefaeccefbadeefbaedefbafcefbcbeefbgabefcbcdefcceaefcecaefcfabefcgaaefdaebefdbdbefedabeffaadeffcbaeffdaaegaaedegaebcegbabfegbbcdegbbdcegbbebegbdbcegcbbdegcfaaegebacfaacfffaagcefaaggafabedefabffbfabgbefacaegfacdbgfacdedfacfbefacfdcfadafefadagdfadcgbfaddbffaddddfaddecfadeaffadfccfadfdbfaeadffaeagcfaebgbfaecagfaecbffaedaffafdeafafgbafagabffagcaefagcbdfagdadfagdbcfbadfdfbafbffbbdcffbbdedfbcbfdfbcccffbceebfbdaeefbdbdefbdcgafbdddcfbdfcbfbeaedfbebagfbebecfbegbafbfbdcfbfbebfbfcccfbfdcbfbgacdfbgbbdfbgdcafbgebafcaceefcafcdfcagdbfcbbcgfcbbeefcbbgcfcbdecfcbecdfcbfdbfcbfeafccbgbfcccbffcccecfcceeafccgacfcdbecfcdcdcfcdcfafcdgbafceaddfcebebfcedadfcedcbfceddafcfbccfcfbdbfcfcadfcgaeafcgeaafdaadgfdadecfdbcagfdbcbffdbcddfdbddcfdbeccfdcabgfdcacffdcbddfdcbfbfdcecbfddceafdddbcfddgaafdeaaffdfaccfdfbcbfdfdbafdfeaafdgabcfdgacbfdgbbbfeabdefeabgbfeacagfeadfafeaeccfebabgfebafcfebbbffebbfbfebcdcfebebcfebedafeccdbfececafecfabfedabefedadcfedafafedccbfedebafeedbafefcabffaabgffabbfffacebffafcaffbaddffbbfaffbceaffbfabffbfbaffcabeffdadbffdbdaffedaafffbbafgaaagfgacaefgaecafgbaaffgbcadfgbccbfgcbadfgdabcfgdbbbfgddaafgfabafgfbaagaaafggaacgdgaadgcgaaedegabaffgabbefgabdedgabecegabgdbgacbgcgaccfcgacdaggacefagadacggadadfgadbdegadccegadcecgaddcdgadfcbgadgcagaeacfgaebecgaecbegaedaegafaecgafcdbgafdadgafeacgagadcgagafagbaaeggbacdfgbaebfgbafebgbagdbgbageagbbadggbbafegbbcgbgbbdbfgbbfaegbccgagbcdbegbdcdcgbdebcgbdgabgbebafgbebbegbebdcgbecbdgbeceagbedbcgbeebbgbefbagbfaafgbfdcagbgaaegcacbggcacgbgcadecgcaeafgcaedcgcbagcgcbcaggcbcecgcbeaegcbfadgccabggccaedgccccdgccebcgcdcbdgcdcccgcddcbgcdfabgcdfbagcdgaagceafagcebbdgcebdbgcfbadgcfccagcgadagcgcabgcgdaagdabdegdaeaegdafdagdagcagdbbecgdbdeagdcabfgdcaecgdcbafgdcceagdceacgdcgaagddacdgddaebgdfacbgdgcaageabcegeadccgebeacgebecagebfbagebgaagecaafgecabegedabdgedeaageebbbgefacagfaabfgfacaegfaceagfafbagfbabegfbbdbgfbfaagfcaccgfcadbgfdaadgfdbacgfdbcagfebabgffbaaggaaebggabdbggacadggbcacggccabaaddggaadgfeaaecggaaeffeaafcfgaafefeaafgdeaafggbaagcegaagefdaagfbgaagfedaagffcabbggeabcfgeabcgefabddgfabegbgabfedfabffedabfffcabfgagabfgecabgagfabgcdgabgcfeabggcdaccdfgacceegaccgeeacdedgacdefeacdfdfacdgfcaceeeeacefdeaceffcacegagacegfbacfafgacfcefacfcfeacfefcacffagacgcgcacgfdcacggdbadbeffadbffeadbfgdadccfgadcdegadcdffadcdgeadceefadcefeadcfdfadcfeeadcffdaddbfgaddcffaddeeeaddefdaddfcfadebffadeeedadeffbadfcdfadfdedadfdgbadffafadfgccadgcdeadgdagadgdgaadgefaaeagdfaebeefaebegdaebggbaecaggaecbfgaecfbgaecfcfaecgagaecgceaedbegaeddfdaedgdcaeeaegaeebdgaeebfeaeebgdaeeccgaeeceeaeecfdaeeddeaeeegaaefaefaefafeaefcbgaefcgbaefdceaefdecaefebeaeffbdaefgadaegadfaegagcaegbedaegbfcaegcceaegdbeaegdebaegfbcaeggcaafadgeafaefeafagdeafagedafbcgeafbegcafbgddafbgecafcagfafcbgeafcfecafcgdcafdaegafddcfafdgbdafebeeafebgcafeebeafefccafefdbafefeaafegbcaffgcaafgagbafgbecafgcebafgdbdafgdccafgdeaagaedfagafdeagafgbagagagagbafgagbdgcagbecfagbfceagbgcdagcageagceddagcegaagcffaagdcfcagdebeagecfbagecgaageeccagegacagfcebagffacaggabfaggafbaggagaaggdbcaggddabacegfbadfgdbaeffdbafegcbafgagbafgcebagcefbagcfebagcgdbageedbagfbfbagfcebagffbbbagegbbagffbbccggbbcgcgbbdcfgbbdcgfbbddegbbdeefbbdffdbbdgdebbdgedbbdggbbbegfbbbfcfebbfdcgbbfdfdbbfebgbbfedebbgaegbbgbdgbbgbefbbgcfdbbgfbebbgfebbbggdbbcaefgbcafgebcbfdgbcbfefbccdffbccedgbccfcgbccgcfbcdbfgbcdcegbcddfebcdecgbcdeeebcdgagbceafgbcecdgbcedfdbcefddbcefgabcfcfdbcfcgcbcfdcfbcfdgbbcfffabcfgdbbcgaefbcgcdebcgcfcbdaeegbdafgdbdagcgbdagdfbdageebdagfdbdaggcbdbbggbdbdgebdbeefbdbgedbdcbfgbdcdefbdcedfbdcfcfbdcgbfbdcgddbddbegbddcefbddcfebdddcgbddedebddfgabdebfebdeceebdedcfbdeeecbdeegabdegeabdfafebdfbdfbdfeafbdfeebbdffeabdgdbebdgdfabeaedgbeagfcbebddgbebdefbebfbgbebfgbbebgecbebgfbbecbegbecdfdbecfagbecfecbedaegbedagebedbfebedcgcbedddebedeagbedebfbedgaebeeadgbeeafebeecdebeecfcbeedecbeedfbbeedgabeeecdbeefccbefbdebefbgbbefdcdbefgcabegaedbegcebbegdaebegecbbegfbbbfaecgbfaeeebfafbgbfafedbfagbfbfbbffbfbegbbfbfgabfbgcdbfcbfebfcbgdbfcddebfcdfcbfcegabfcfbebfcfcdbfdbeebfdcdebfddddbfddecbfebedbfebfcbfedbebfeeccbfefbcbffagbbffbddbffbecbffcdcbffeadbfffcabfgcaebfgcbdbfggaabgabegbgacefbgacfebgaeedbgbceebgbcfdbgbcgcbgbdedbgbeagbgbeddbgbfafbgbfdcbgccbgbgcdagbgcedcbgcgbcbgdacgbgdbdebgdcfbbgddcdbgdddcbgdebdbgebagbgebddbgebecbgebfbbgedeabgefbbbgfbcdbgfbdcbgfecabggaafbggacdbggbaecaafgfcaagegcabfegcacgcgcaddgecadgbgcadggbcaeaggcaecgecaedfecaedgdcaeeeecaeggacafcdgcafdeecafebgcafefccafgafcafgbecagagecagcgccagfdccaggdbcbaegfcbbcggcbbeegcbbfefcbbffecbccgfcbcggbcbdbgfcbdddgcbdegccbdfcfcbedeecbedfdcbfaegcbfbgdcbfeagcbffcdcbfgcccbgaefcbgbfdcbgedcccafefccaffeccbffdcccfgbcccgfbccddgcccdedeccdeedccebgdcceceeccefcdccfccfccfcedccfcfcccfdagccfdceccffaeccffbdccgbbgccgdafcdabggcdacfgcdafdfcdafeecdbcegcdbdefcdcfbfcdcfeccdcgebcddaffcddgbdcddgeacdeaefcdeafecdebdfcdecdecdecedcdeecdcdefcccdefdbcdfagccdfbedcdfeaecdfeeacdgacfcdgadecdgbagcdgbeccdgcbecdgeadcdgfbbceacegceadgdceafbgceafcfceafedcebedecebfbfcecaffceccgccecdedcecdfccecegacecfcdcecfebcecgaececgdbcedfeaceeaeeceebedceecgacefabgcefadecefbcecefbgacefccdcefdaeceffaccefgbacegagacegbbecegbcdcegdcbcegddacfaafgcfaddfcfadeecfadfdcfadgccfaeedcfaefccfaegbcfagebcfbceecfcbfdcfcdcecfcedccfcfdbcfcgdacfdbdecfdcddcfdcgacfddafcfddbecfddcdcfdeaecfdfdacfeabgcfebagcfebbfcfebcecfebddcfebgacfecebcfedbdcfegbacffaeccffbdccffccccffgaacfgaebcfgcbccfgccbcgadbgcgadgbcgaeagcgaegacgafdccgaffacgageacgbaefcgbcgbcgbdagcgbefacgbgadcgcagccgcbbgcgcddccgcedbcgdabgcgdagbcgdbcecgdcfacgddcccgdfaccgebbecgecbdcgeebbcgfabecgfbdbcgfcadcggaaedaagdgdabcggdabdfgdabfdgdabfefdacfeedacgbgdadbfgdaddfedadedfdadffcdadfgbdaecefdaecfedaecgddaefbfdaegebdafcdfdafceedafdcfdafdgbdafeecdafegadaffafdafgeadagadgdagbeedagceddagcfcdagdbfdagdecdbacggdbafefdbaggcdbbdffdbbeefdbbfcgdbbfgcdbccffdbcdfedbcedfdbdcgddbddgcdbeddedbeegadbeffadbegccdbfafedbfbdfdbfbfddbfcbgdbfdecdbffbddbffccdbfgcbdbgbgbdbgccedbgdcddbgfdadbggacdcabggdcafcgdcbbgfdcbcegdcbcgedcbdfedcbfbgdccddfdccegbdccgafdcdbdgdcdbefdcddbgdcddeddcdfbedcdgdbdcebeedceebedcefeadcfdcddcgbbfdcgbcedcgbfbdcgcdcdcgcfadcgdaedcgdccdcgfacddabgfddafcfddagceddbcdgddbcefddbdeeddbefcddbgafddcageddcfdcddcgeadddbcgdddbfddddcbgdddcdeddddcedddeafdddgcbddeacgddeafdddebdeddedbeddeddcddedebddefbcddefcbddfbgaddfdaeddffbbddffcaddfgbaddgaceddgafbddgagaddgbdcddgcbdddgddadeabegdeabgedeacdgdeaeeddeaegbdeagafdebcdfdebddedebecedebfdcdebffadebgdbdecbdfdecccfdecdcedecgbcdecgdadedbeddedcagdedeaededeccdedeeadeebecdeecdcdeedccdefabfdefaecdefebbdeffabdegebadfacgcdfaddedfadfcdfaffadfagbddfbbcgdfbdagdfbgcbdfcafddfcbfcdfccdddfcfdadfdacfdfdcbedfdcdcdfddccdfeacedfeaecdfebdcdfedcbdfeddadfeeacdfeebbdfeecadfegaadgadbfdgafbddgafdbdgagaddgbbgbdgbeccdgcadedgcaeddgcbbfdgcbfbdgdabfdgdfabdgdgaadggaaddggbaceabcgfeabedgeacdgdeacfdeeacfedeacffceacgddeadfddeadffbeadgfaeaefafeaegdbeafcedeafdceeafeafeaffcceagadfeagafdeagcageagcddeagdafeagddceageeaeagfadeaggacebacgfebbbgfebbddgebbedfebbegcebbggaebcafgebcdgcebceedebcgbeebdaegebdbfeebdbgdebddgbebdeagebdfebebdgaeebedfbebfadfebfaeeebfafdebfbcfebfbdeebfdfaebfebdebgeadebgebcecacegecaecgecaefdecafdeecafedecagfbecbafgecbdcgecbdeeecbebgecbffbecbgafecbgfaecccdfeccceeecccfdeccfbeeccgaeecdccfecddfbecdeebecdfaeecebgbececageceedbecefadecfbagecfbececfbfbecfccdecfcdcecfdaeecfedaecgaddecggaaedaafgedacgdedadfdedaefcedafddedaffbedagbeedbbfeedbddeedbdededbdgbedbeagedbeceedbffaedcagdedccdeedccededcdagedcdbfedcdgaedcecdeddaeeeddbdeeddbededdbgbeddcbfedddcdeddfadeddgbbedeabgedeacfedebagedefcaedfaagedfaceedfafbedfbbeedfcccedfebbedgaafedgbbdedgbdbedgbeaeeaaffeeabefeeacdfeeadcfeeaddeeeadfceeadgbeeaeageeaeddeebbeeeecadfeecbcfeeccfbeecdbeeececceedaedeedcafeedecbeedfbbeeeafbeeebebeeeddaeeeebbeefaafeefaebeefcadeefdaceefeabeegbbcefacfcefadceefadecefafbdefbbfcefbcddefbcecefbdafefbdfaefbgcaefcafcefcccdefcdbdefcebcefcecbefcgbaefdaagefdbafefdbdcefddcbefdecaefeacdefecadeffeaaefgcbaegaacgegaafdegabcfegabedegacgaegaddcegagbbegbabgegbaedegbbfbegbccdegbecbegbgabegcaecegcbcdegcbebegccdbegdaafegdbeaegeaccegeaeaegedbaegfacbfaafdffabcfffabegcfabgfbfaccdgfacceffacddffacfddfacgbefadafffadbdgfadbfefadbgdfadfbefadfdcfadgdbfaeadgfaeafefaecfcfaedddfaeeaffaeebefaeeebfaefbdfafadffafcddfafebdfagabgfagagbfagebcfagfacfaggabfbaeeefbafdefbaffcfbbebgfbbefcfbbfecfbcaegfbcceefbceagfbceddfbcfebfbdfccfbecgafbeeaefbefadfbefbcfbfafcfbfbagfbfcaffbfecbfbfgbafbgabffbgeacfcabfffcaebgfcaefcfcaffbfcafgafcagdcfcbbfefcbcgcfcbdbgfcbdcffcbeagfcbeddfcbeecfcbegafcbffafcbgbdfcbgeafccbcgfccccffcccfcfcceebfccefafcdbdefcdcfbfcddfafcdfadfceabgfcegabfcfacefcfaecfcfafbfcfagafcfbdcfcfbfafcfcaefcfcdbfcfddafcgfaafdabdgfdabfefdaceefdaeecfdaefbfdagccfdagdbfdbbcgfdbcbgfdbdecfdcbdefdcbedfdcbgbfdccbffdcfcbfdcgbbfddbagfddcfafdeagafdeecafdegaafdfccbfdfcdafdgbbcfdgbcbfdgbdafeacfcfeadcefeafbdfeafccfeagbcfebbcffebcbffebfadfebfbcfecabgfecafcfecagbfecbddfeccebfedabffedbdcfeddbcfeeaaffeeacdfeeafafeebccfeebdbfeebeafeeeabfeefaafefabdfefadbfefbdafegadafegbacfegbcafegcbaffaaeeffaafdffaagcffadafffafcbffbbagffbbfbffbebcffbedaffbfacffbgbaffcbfaffcceaffcdadffdaebffddbbffdebaffdfaaffeaccffeadbffebcbfffabcffgbabfgabbffgacfafgbbbefgbcccfgbecafgbfabfgbgaafgcbccfgcbdbfgccdafgcdbbfgdaaefgdadbfgdbcbfgdbdafgfabbfgfbabgaadgdgaafbggabbffgabcdggabcgdgabddfgabeedgabfaggacccggacddegacfbegacfcdgacgeagadbdfgadcgbgaddgagadedcgaeacggaeadfgaebbggaecaggaeedbgaefadgafagbgafbfbgafbgagafcdcgafedagafgabgagbcdgagbdcgagcaegagcbdgagdcbgagfbagbadfdgbadgcgbaecfgbaeedgbafaggbafbfgbaffbgbbdfcgbbebfgbbeecgbbfcdgbcafegbcagdgbcbeegbdbbggbdbfcgbdccegbdddcgbddfagbebaggbebcegbebecgbecdcgbeebcgbeecbgbefbbgbfaddgbfagagbfbafgbfbebgbfdadgbfdcbgbfecagbffabgbgbdbgcaaffgcabdggcaccggcacfdgcacgcgcadbggcaefbgcafdcgcbbcggcbdddgcbecdgcbfbdgccacggccbedgccbfcgccbgbgcccfbgcccgagcddaegcdedagcecaegceddagceeacgcfaebgcfafagcfeabgcgcbbgdabcggdabdfgdacgbgdadcegdadecgdafccgdafdbgdbbedgdcbaggdccafgdccebgdcddbgdcebcgdcfbbgdcfcagddabfgddbebgddbfagdddcbgdebdbgdebeagdecadgdeeabgdfbdagdfccagdfdbagdgadagdgbacgeacbfgeadafgeadcdgeaeccgeaeeageafbcgebagbgebbaggebbddgebbfbgebccdgebfcagecbdcgecceagecdadgedbbdgedccbgeeccagefaadgefadagefcabgfaccdgfadccgfaebcgfaecbgfbaaggfbfbagfcacdgfcaebgfcccbgfddbagffbbagffcaagfgaabggacaeggacccggafbaggbacdggbbbdggbcadggbdcaggdcbaggebabggfabaaadeggaafeegaaffdgaagbggaagcgfaagdffabbfggabbggfabcfgfabeeffabefdgabegcgabfdgeabffcgabfgcfabgbfgabgfdeabgffcabgfgbabgggaacbffgacbgffacbggeaccgdgaccgefacdfefacdffeacdfgdacefgcacegdeacegfcacffdeacfffcacfgbfacfgddacgbegacgdfdacgedeacgefcacggbeadaggeadbefgadcfdgadcfgdadddegadddffaddegdadeddgadeeeeadegbfadfdeeadffagadfgafadfgdcadfgfaadgbdgadgebfadgeddadgfebaebfdgaebgcgaedaggaedeeeaedfedaedgagaeebgeaeecefaeecgdaeeegbaeeffbaefageaefbgdaefccgaefcgcaefdcfaefefbaeffafaeffbeaefgaeaefgccaefgeaaegadgaegbdfaegcdeaegedcaegfeaafaeegafagfdafbfeeafbffdafbggbafcaggafccgeafdafgafddfdafdebgafdegbafdfagafdgebafebefafeceeafecgcafedbgafededafedfcafeeagafefcdafegeaaffadgaffagdaffecdaffeebafffbdafgbcfafgbgbafgcagafgcddafgdafafgfcbagaeefagafeeagbcffagbdgdagbefdagcbgeagccgdagcfgaagcgcdagdbdgagdbfeagdcdfagdcgcagdegaagdfdcagdgeaagecbgagecdeagedgaagegcbagfbfcagfcgaagfebdagfgbbaggacfaggaedaggafcaggagbaggebcaggedababggfbaceggbaeffebaefgdbafedgbaffeebafgdebafgfcbafggbbagcffbagcgebagfdebagggabbdegebbdfdgbbdgcgbbdgdfbbdgfdbbedffbbeegdbbeggbbbfecgbbfegcbbfgbfbbfggabbgddfbbgebgbbgfbfbbggbebcaeggbcbgdgbccfgdbccgeebcdeefbcdefebcdegdbcdfcgbcdfdfbcecegbcegbfbcegcebcfbffbcfdfdbcfebgbcffagbcffbfbcffcebcffddbcgcfdbcgcgcbdcfgcbdcgedbdcggbbddcgebdddgdbddeeebddgecbdebegbdeddfbdeebgbdeeedbdeegbbdfcfdbdfdgbbdfecebdfeddbdffcdbdffdcbdfgccbdfgdbbdgadgbdgagdbdgefabdgfaebdgfccbecbgfbeccffbecgcebedagfbedbgebedebgbedeedbeecgcbeeeagbeeecebeegaebefdagbefdfbbefdgabegcgabegdfabegeaebegeccbegfdabfadffbfaefebfafcgbfafeebfagcfbfbecgbfbedfbfbeeebfbffcbfbgddbfcdeebfcdfdbfcefcbfcffbbfcgafbfdefbbfdgbdbfdgeabfebgcbfedgabfeeebbfefaebffcbfbffdfabffgbbbfgaedbfgcbebfgebcbfgfcabgabfgbgaedfbgagcebgbfagbgbfddbgcbfebgcdbgbgcfafbgdbgcbgddbfbgdeebbgdfeabgebbgbgebdebgebfcbgebgbbgecbfbgeeccbgeeeabgefadbgfacfbgfbgabgfdccbgfecbbggaddbggcaebggceabggdadcabgegcabgffcacfgecacgdgcacggdcaddfgcaddgfcadfefcaedffcaefcgcaegcfcafdefcafgbfcagafgcagfddcaggebcbbdggcbccggcbceffcbcfefcbcffecbcgeecbdegdcbdfcgcbeddgcbedefcbeecgcbefcfcbfddfcbfdfdcbfedecbffagcbfffbcbffgacbgccgcbgeagcbgegacbggccccdefdccdfcfccdffcccdggaccecdgcceefcccegbeccegcdccfbdgccfbfeccffdcccgaefccgbgcccgcdeccgdagccgeebcdbegdcdbfdfcdbffdcdccgecdcefdcdcgfbcdcggacdddfdcddedecddgafcddgbecddgfacdeagecdebgdcdeceecdefbecdegbdcdfbcgcdfbfdcdfbgccdfcfccdfgbccdgacgcdgaeecdgafdcdgcbfcdgccecdgceccdgdfacdgfcbceadffceadgeceaeefceaffdceagbgcebcffcebgddcebgeccebggaceccfececcgdcecdgcceceedcecfcececgcdcecgfacedceeceddfcceebdfceeccfceedagceedceceedgaceeefaceefbdceefeaceegbccefacgcefcddcefddccefdfacefecccegacfcegcafcegcdccegcfacegebccegedacfabfgcfadefcfafedcfagbfcfbagfcfbbgecfbcefcfbcfecfbdfdcfbfeccfccgccfcdcfcfcdedcfcebfcfcefbcfcegacfcfbecfcfcdcfdbfdcfdcgbcfddcecfdecdcfdfdbcfeccecfecgacfedcdcfeeaecfeebdcfeedbcfefdacffabgcffaedcffbcecffbeccffbfbcffcfacffdcccfgabfcfgagacfgdadcfgfabcfgfbacgacefcgaddfcgadeecgaebgcgaecfcgafbfcgbdfccgbeagcgbebfcgbefbcgbgcccgccbgcgcdagcgdaeecgdagccgdbbgcgdbfccgdcagcgdcbfcgdcgacgebfbcgeccdcgecebcgedaecgedbdcgedcccgeeadcgegabcgfaagcgfbebcgfbfacgfceacgfebbcgfgaacggacdcggbcccggcdadabfgedaceegdacgcgdacgdfdadfdfdadgbgdaebgfdaecffdaecgedaeeeedaeefddaegecdafdeedaffdddagcgcdagdgbdageecdbadggdbbdfgdbbfefdbbgcgdbbgfddbcfcgdbcfeedbcgbgdbcgcfdbcgdedbddfedbdegcdbdffcdbdgagdbdgcedbdgdddbdggadbecefdbegcddbfbgddbfeecdbfegadbgagddbgbgcdbgdgadbgebedbgecddbgfccdbgfeadbggcbdcacggdcaeegdcafefdcbbggdcbfdfdcbggbdcceeedccgbfdccgfbdcdddfdcddfddcdefcdcdffbdceefbdcegeadcfceddcgbcfdcgccedcgcecdcgcfbdcgdebdcgdfadcgeaedcgfbcddaefeddbdgdddbfbgddcbgeddcgebddcgfaddddcfddddgbdddegadddffadddgbdddebfdddecdeddecfcddedgaddeedcddfafdddfgbbddgbceddgbddddgcafddgddbddgebcdeaaggdeadefdeafcfdeafgbdeagdddebbegdebcefdebddfdebdfddebeeddebgebdeccdfdeccgcdecddedeceecdecefbdecegadecgaedecgeadedafededddddedebededecddedeebdedfeadeeacgdeeagcdeebgbdeececdeecgadeedafdeedfadeefbcdefafcdefcbedefdccdefddbdefecbdeffbbdeffcadefgbadegagadegbafdegbcddfacgddfaffbdfagafdfagdcdfbbgddfbcfddfbdeddfbfdcdfbffadfcaefdfcafedfcagddfcfccdfcfdbdfcfeadfcgbcdfdbcfdfdddcdfddebdfdeccdfdeeadfebdddfebfbdfecbedfecdcdfedbddfegbadffcbddgaccgdgacfddgagaedgagdbdgbadgdgbcbgdgbcdedgbceddgbcfcdgbfdbdgcaeedgcagcdgceccdgdbbfdgddeadgdeaddgeagadgfabedgfafadgfcbcdgfebadggaaedggdbaeaafgeeabfefeabffeeabgdfeaccfgeadddgeaddfeeadedfeadefdeadgfbeadggaeaecdgeaefeceafcdfeafcfdeafdedeafebfeafeceeafgeaeagadgeagccfeagdddeagdgaeagebeeagecdebafgdebbedgebbeefebbfeeebcdfeebcedfebcgceebdafgebddfdebdfgaebdgcdebeeecebeegaebeffaebegbdebfcbgebfcdeebfebeebfefaebffccebfgbcebgacgebgbdeebgcgaebgeaeebgedbebgfadebggcaecaegdecafeeecbaggecbdfeecbfcfecbgddeccbffecccfeeccdcgeccdgceccedeecdaffecdbfeecddbgecdegaecebgcecedgaeceecdecefeaecfcbfecfcfbecfdafecfdcdecfebdecfeeaecgbceecgeadecgfacedacgeedagagedbcefedbcfeedbecfedbedeedbeededcbdgedccdfedccfdedcdgbedcgaeedcgdbeddadgeddbcgedddceeddefaeddgadedeaeeedebcfedecddededebedeebdedfacfedfbceedfecbedgafbedgbafedgcccedgecaeeaafgeeadeeeeaefceeafceeeaffbeeafgaeebaegeebceeeebdcfeebfafeebffaeebgdbeebgeaeecfcceecgadeedaeeeedcageeddebeedfcbeeeaedeeecafeeecebeeecfaeeefaceefabfeefaceeefbebeefcdbeefeaceeffabeefgaaeegadceegccbefabefefadcfefaeddefagbdefbaefefbafeefbcdeefbdceefbeafefbfaeefbfeaefbgadefcbbgefcbcfefcdcdefcfcbefcfdaefcgacefdabgefdbecefdcafefdebcefeagaefecaeefeddaeffbeaeffcbceffdaceffebaefgbdaefgcbbefgdbaegadecegaefaegbbgbegbddcegbfadegbfdaegbgcaegcacfegcaedegcbfbegccdcegccebegcfacegdagaegdbbeegdcdbegdddaegecdaegfaaeegfaeaegfbbceggaadeggacbeggbbbfaafdgfaaggcfabdegfabdgefabfeefabgedfabggbfacddgfacgbffacgcefadebgfadedefadeedfadfagfaeddefaededfaeeagfaefaffafaeffafcbgfafeaffaffccfafgcbfagacgfagbbgfagbcffagcecfagddcfageaefagfdafbaedgfbaeeffbafdffbafeefbbdeffbbedffbbfdefbbgbffbcagffbcbegfbcgcdfbcgfafbdagefbdcfdfbdcgcfbddcffbdebffbdefbfbdfcdfbdfdcfbeaeffbebdffbefaefbegdafbfacgfbfaeefbfbdefbfbgbfbfcecfbfdaffbfeccfbffcbfbgacffbgaedfbgbbffbgbddfbggbafcadeffcaecgfcafbgfcbcgdfcbefcfccbdgfccfbefccgaefccgbdfcdaeffcdbcgfcdcedfcdfbdfcebedfcebfcfcedcdfcedfafceeaefceeeafcefdafcfabgfcfagbfcgbebfcgcbdfcgdbcfcgdcbfdacfefdadcgfdaegbfdafbffdagaffdagbefdbefbfdbgaefdbgdbfdcbfdfdcdbffdcdecfdcdfbfdceaffdcfaefdcfeafddafdfddbfcfddcbffdddcdfddedbfddfbcfddfdafddgbbfddgcafdeabgfdeafcfdeagbfdebgafdedeafdefacfdfabffdfbdcfdfbebfdfcbdfdfebbfdfecafdgabefdgadcfdgbdbfdgcdafeadgbfeagdbfebaeffebcdefebfdbfebfeafebgcbfecdbefecdfafedafcfedbagfedcdcfeddbdfedebcfedgbafeeaagfeeacefeeafbfeeecafefaaffefacdfefafafefbeafefcadfefccbfefdcafefebafeffaaffabcgffabdfffadceffaeafffbafdffbbbgffbbedffbbgbffbdbeffbgbbffcadeffcdbdffcfacffddadffeafaffebeaffeebafffbdafffcacfffccafffdabffgbbbffgbcaffgcbafgabbgfgabcffgadbefgbaedfgbagbfgbbddfgbdeafgbebcfgbecbfgbfcafgcbcdfgcbdcfgcebbfgdacdfgdbeafgdcadfgdcbcfgddbbfgeadbfgecacfgedabgaaegdgaagbggabceggabfdegabgbfgabgecgaccdggacdcggacfcegacffbgadebfgaebcggaebeegaedcegaeecdgafbdegafcaggafcddgafcgagafddcgafgacgagacfgagbfbgagccdgagdaegbaceggbaddggbaeeegbbafggbbdcggbbdgcgbbgfagbcefbgbcgccgbdfaegbdfdbgbdgdagbeebdgbfafcgbfagbgbfbcegbfbddgbfbecgbfbfbgbfbgagbfccdgbfcdcgbfeadgbffcagbgaecgbgcccgcaeedgcaegbgcagbegcagcdgcbaffgcbbgdgcbdfcgcbefbgcbgbdgcbgdbgccadggccbgcgcccbggcccdegccgcbgcdcaggcddebgcdedbgceabggcebddgcebfbgcebgagcecdcgcedeagcfebbgcffbagcgbdbgcgbeagdaegagdagbdgdbafegdbcgbgdbedcgdbeebgdbfaegdcbfcgdcdbegdcdebgdceccgddafcgddagbgddcafgddcbegddecbgddfacgdebafgdebcdgdecaegdeeacgdfaebgdfbeagdgabdgdgbcbgeaaefgeabfdgeadaggeadecgebbdegebcaggebccegebddcgebdebgebedbgebfcbgebfdagebgcagecbaggeccafgecddbgecfcagedabfgedaddgedcccgedcdbgeddcbgeecdagefadbgefaeagefbbcgfaafdgfabdegfacaggfadbegfaeaegfafdagfagacgfbadegfbcafgfbdbdgfbddbgfbdeagfbebcgfcceagfdcdagfdeabgfebdagfgbbaggaafcggaagbggacfaggadbdggadccggadeaggbcdbggbeacggbebbggbfabggcbeaggdaccggdbbcggdcbbggdccaggddbaggdeaaggebcaggecbagggbaaaafefgaafgfeaageegaagfefaaggfdabbgggabcgfgabdgegabedggabeegfabegefabfcggabfeffabffgdacdefgacdfegacdgefacedgfacegcgacfdegacfdffacfegdacgefdacggbfacggceacggfbadbffgadbgegadbggeadecgfadeffdadfdgdadfgceadgbffadgddfadgdgcadggcdaebdggaebfgeaecffeaecgcgaeddgeaededgaedffdaedgbgaedgdeaedggbaeeecgaeefedaeegagaeeggaaefafgaefebgaegbfeaegcgcaegdedaegdfcaegeecaegfafaegfbeaegfcdaegfebafafffafbdfgafcefeafcegdafdaggafdbfgafdcffafdddgafdfbgafdffcafecdgafecefafegebaffaegaffageaffccgaffcdfaffdbgaffeagafffafaffgbdafgecdagbcgfagbdegagbedgagbeefagbgcfagbgedagccffagcfbgagcgecagdbffagdcefagddeeagdefcagdfbfagededageegaagfagdagfbdfagfbeeagfcdeagfdagagfdbfagfdceagfdfbagfefaaggacgaggdafaggdcdaggdfaaggebdagggbbbadfgfbaefffbaffdgbafffebafgeebagffdbagfgcbagggbbbagggbbdefgbbefdgbbefgdbbfcgfbbfedgbbgbfgbbgbgfbbggcebbggfbbcafggbcaggfbcbeggbcdfdgbcefcgbcefdfbcegbgbcfedfbcffbgbcgbegbcgcdgbcgdcgbcgedebcgegbbdaggebdbgfebdcfgdbdcgdfbdcgfdbddegdbddgbgbdecgebdefcfbdegddbdfcdgbdfecfbdffddbdfgcdbdgagebdgdfcbdgdgbbdgecebdgegabeafgebebcggbebeffbecbggbecefebecfcgbecfeebedbfgbedbgfbedcegbedddgbeddgdbedeeebeeebgbeefbfbeeffbbefceebefecebefeecbeffbebegafebegbdfbegcedbegcfcbegdcebegeafbegebebegfdbbegfeabeggadbeggcbbfaeegbfbdffbfcggabfdagfbfdbgebfdcdgbfdcfebfddcgbfdebgbfebdgbfeebfbffbcgbffdcebffdfbbffebebffefabffgbcbffgdabfgdcdbfgdfabfgeccbfgfdabgacfgbgadffbgaeefbgaefebgafdfbgagcfbgbbgfbgbcegbgbfdebgcbegbgcbffbgccgdbgdaffbgdccgbgdcgcbgdddebgddgbbgdgaebgebdfbgecdebgedbfbgedgabgfagcbgfbfcbgfccebgfeaebgfebdbgfeccbggaedbggbfbbggbgabggcafbggcebcabgfgcaceggcaddggcadgdgcaecggcaedgfcaeeegcaeffecaegcgcafdffcafgfccagbgfcagcffcagefdcagfcfcaggagcaggbfcaggfbcbaggfcbcdggcbcegfcbcgfecbdcggcbdfdgcbdfgdcbdgfdcbedffcbeeefcbefgccbegbgcbeggbcbfbfgcbfgeccbgcgdcbgdcgcbgdgccbgfddcbgffbccaeggccaggeccbfegccbggdcccdfgcccdgfccdbggccdeefccdfdfccebfgcceegcccfbgeccfdcgccfdfdccfgafccgbdgccgbgdccgcfdccgcgcccgdfccdbcggcdbggccdcbggcdcffdcddaggcddfcfcddfdecddffccddfgbcdebegcdedgccdefgacdegbecdegcdcdegdccdfcdfcdfcgccdfdedcdfgbdcdgcbgcdgcedcdgcfccdgeafcdgfaeceafefceagdfceageeceagfdcebffdcecdfececefdcecfcfcededecedefccedfddcedgbecedgcdcedgfaceeageceedfcceedgbcefbeecefcbgcefccfcefcgbcefdeccefebecefecdcefgbccegcfbcegdbecegdcdcegdebcegeeacegfbccfadegcfadgecfagcfcfbcgecfbdefcfbdfecfbegccfbffccfbggacfcfbfcfcgebcfcgfacfdaegcfdbdgcfdbefcfdgcccfdgdbcfebeecfecedcfeeafcfeecdcfefeacffbgbcfffbccffgcacfgadecfgaedcfgbcecfgcafcgacffcgaddgcgaffccgagddcgbagfcgbfbfcgbgbecgbgfacgcaffcgcbgdcgcdgbcgcececgcegacgdadgcgdbgccgdcdecgddcecgeacgcgebdecgecfbcgedcdcgefdacgegbbcgfaedcgfebccgffbbcggabfcggaeccggbbecggeacdaafggdaagfgdaaggfdabggedacegfdacfgedadeegdadegedadgdfdaegdedafefddaggbedaggdcdbbfegdbcgfddbddffdbdedgdbdfcgdbdggbdbeegcdbefbgdbfcgddbfebgdbffagdbgbfedbgcdfdbgeagdbgebfdbgfafdbggaedcafffdcagfedcbggcdccbggdccfdfdccffddccfgcdccgdedcdfgbdcdgagdcdgfbdcebegdcecfedcecgddceeeddcefecdcegbedcfbdgdcfeagdcfgccdcfgeadcgadgdcgagddcgbeedcgceddcgddddcgebedcgfaedcgfccddaegeddcegcddcffcddcfgbddddcgdddegbdddfgadddgcdddecdfddecfdddedgbddeeceddeeddddeefbddefbeddefebddfafeddfdagddgcgaddgdcdddggcadeadegdeafgcdebeeedebfcfdebgbfdebgdddebgecdecbffdecdgcdecffbdedaegdedccgdeddbgdedeecdedfdcdeecgbdeedbfdeedcedeefeadeegdadefbgbdefdbedefeaedeffbcdegaeddegbcedegcdcdegcfadegdaedegdbddegfbbdfaaggdfacgedfafbgdfagdddfbdeedfbdfddfbgafdfcaegdfcagedfcddedfcfdcdfcgaedfdaefdfdbgcdfdcfcdfdddddfdeafdfdeebdfdgaddfeadfdfeafddfedafdfeeeadfefbcdffafcdffcbedfgacedfgbbedfgcdbdfgebbdgaafgdgabffdgabgedgaddfdgadfddgaebgdgagbedgagcddgbccgdgbdbgdgbebfdgbfbedgbfebdgceebdgcgaddgdcfbdgdddcdgdfaddgdfcbdgdfdadgeaeddgeagbdgeccddgeedadgfaecdgfcccdgfebbdggafadggdcaeaaffgeaagffeacdfgeaceegeaddffeadfgceaecegeaeedfeaegbfeaegddeaegeceafafgeafdcgeafddfeafdeeeafecfeafgfaeagceeeagdbgeageageageddebaegfebagfeebaggdebbdgfebcdegebdaggebdecgebdgagebdgecebebffebebgeebecefebefbfebfaffebfbefebfdedebfefbebffafebgagdebgccfebgcgbebgdgaebgebeebgecdebggcbecbdgeecbgcfeccbfgeccdgdecdbegecdcgdecdddfecdegbecdgbeecebgdeceeceecefbeecegbdecfdgaecgagcedafdfedbcegedbcgeedbdfeedbgbfedbgecedcbegedcegbedcfddedcgebeddbefeddceeeddcfdedddcfeddddeeddebfeddeceeddfafeddfcdeddgbdeddgeaedebdfededagedeebeedeefaedefccedegdaedfacgedfbbgedfbgbedfdebedfeeaedffdaedfgacedfgbbedgacfedgadeedgaededgagbedgbbfedgbddedgcfaedgdcceeaegceeagddeebcfeeebdcgeebddfeebegbeebfageebfceeebfeceebgbeeecaegeecdgbeedagdeedbeeeedbfdeeddceeedfaeeeececeeedbeeeedebeeeeaeeeefcbeefadeeefeadeeffaceegcaeeegdcbeegebbefacdgefadeeefadgcefbaffefbccgefbceeefbdfcefbdgbefbebfefbeddefbegaefbfbeefccbgefcefaefcgcbefdadfefdaeeefdagcefdbdeefdcagefddafefdeaeefdedbefdfdaefeafcefebceefebecefecdcefecebefedeaefefbbefegbaeffaceeffagaeffccceffcdbefgdcaefgeabegaccgegacfdegadcfegadedegadfcegbcedegbdecegcbcfegccbfegccfbegcdafegcdbeegceccegcfadegdbbfegdcfaegdecbegeagaegedbcegeecaegfdacegfebafaaefgfabcggfabffefacfcgfadcegfadeeefaecgdfaedcgfaedfdfafbfefafdcffafdedfafecefagagdfagcdefagcgbfagdddfageaffagebefagecdfagfbdfbaeegfbaefffbagfdfbaggcfbbgcffbceeefbcefdfbcgagfbcgcefbcgddfbcgecfbdagffbdebgfbdefcfbedfcfbefbefbegdbfbfcbgfbffbdfbgcagfbgdcdfbgdebfbgfbcfcadegfcadfffcadgefcagcffcagdefcbcfffcbefdfcbfedfccagffcdafffcdbeffcdcfdfcdcgcfcddedfcddgbfcdfdcfcdgbdfcecbgfcefbdfcfbcffcfccefcgacffcgccdfcgebcfdaffcfdbbfffdbedefdbgbefdcdbgfdcebffddecdfddfaefddgbcfddgdafdebcffdebgbfdecbffdecgafdeebdfdeeccfdfacffdfcfafdfdbdfdfddbfdfdeafdffacfdgaagfdgabffdgecafeaagffeaebgfeafbffeafcefebaegfebdgbfebefbfebfcdfebgaefecagdfecbeefeccgbfecdbffecfaefedafdfeddfafededbfedfcbfeecebfeedbdfeeecbfefafbfefdcbfefgaafegaebfegbccfegcadfegdacfegdbbffaeagffafbeffafdcffbbdfffbcedffbcfcffbgbcffcacgffcbbgffccecffcfdaffdbceffdcafffdcebffddbdffddccffdfcaffdgabffdgbaffebdcffedadffefbafffacdfffafafffdcafffeabffgccafgaaeffgaagdfgabeefgacbgfgadfbfgbacgfgbbcffgbcagfgbcbffgbcecfgbebdfgbeccfgbeeafgcagbfgcbbffgdacefgdagafgdcdbfgdeacfgdgaafgeaaffgecadfgedbbfgfaaefgfccafggacbfggbcagaagdfgaaggcgabcfggabcgfgabfgcgabggbgacdfegacedfgacfcfgacfdegacgaggacgbfgacgcegadbeggaddfdgadfaggadgbegaeeddgaegccgafaefgafbeegafedcgafefagagdcdgbaefegbafeegbbefdgbbgfbgbcbgegbccfegbcdcggbcebggbcedegbcgdcgbcgfagbdaeggbddgbgbdgccgbeaefgbebcggbebeegbedecgbfacggbfbbggbfcaggbffadgbgccdgbgfbbgcadefgcadgdgcaefdgcafbggcafdegcagcegcbcfegcccfdgccddegcceecgccffagccgaegccgbdgccgeagcdeafgcdecdgcdfccgcdgadgceaeegcedebgcefbcgcfafcgcfbgagcgddagcgecagdabffgdaddfgdagcdgdagebgdbbdggdbbefgdbccggdbcgcgdbdcfgdbdedgdbeecgdbfcdgdbgbdgdbgccgdcafegdcbgcgdcfaegdcgcbgddcbfgddcddgddcecgdddafgddfbcgdeabggdeafcgdebbfgdfbdcgdfebbgdffabgdgdbbgdgfaageaaeggeabdggeacdfgeaefbgebcbggebcdegebcgbgebeebgecaeegecafdgecbedgecdcdgecddcgeceaegeceeagedcbegedcdcgedcfageeaecgeecccgeeceageeddageegaagefabegegbcbgegcbbgfabeegfadcegfadecgfaecdgfaedcgfbedbgfbfbcgfbfcbgfccafgfcccdgfcdccgfcfbbgfcgbagfdaddgfdbfagfdcdbgfddadgfddcbgfebbdgffabdgffaccgffbbcggacfbggadcdggaeccggagacggagbbggbabgggbbddggbdaeggbdeaggbecbggbgbaggdcadggecacggecbbggeeaaggfbacgggcaaaadgggaafeggaafgegaagfegabeggeabfefgabfgfeabgcggabgdfgabgeffabggfdacdeggacdgegacfcggacffefacfffeacgffdadcfgfadcggeaddgfeadfdgeadgbgfadggbfadggecaeaggfaecdggaedcggaeddfgaeecfgaeeegdaeegfcaeeggbaefbgfaefedfaefgecaegbffaegefcaegfceaegfgaaeggbeaeggebafaeggafafgfafbgefafcegeafcfdgafcgdfafcgeeafcggcafdbggafddegafdgfcafeaggafegceafeggaaffagfaffcdgafgaffafgbefafgcfdafgdfcafgdgbafgfafagaefgagaggdagbffeagbfgdagcgbgagcggbagdedfagdeeeageafgageefcageegbagefddagefecagegdcagfaffagfbdgagfeagagffdcagfgccaggebeaggeebbadggfbafegfbaffgebafggdbagdgfbageffbbfeegbbfeffbbgbggbbgefebbggbgbbggcfbcbggfbccfgfbcecggbcedfgbceegebcefgdbcegeebcegfdbcfegdbcffgcbcfgedbcgaggbcgcegbcgddgbcgdefbcgfdebdaggfbddeegbddegebdegedbdegfcbdfbgfbdfggabdgafgbdgecfbdgfcebdggcdbeafgfbebegfbebfegbebfffbeccggbeceegbedbggbedffdbedgedbeebgfbeedgdbeefedbeegagbeeggabefagfbefcdgbefcfebefdeebefebgbeffcebeffddbefgcdbegaffbegbdgbegcfdbegeddbegeecbegegabegfdcbeggaebeggccbfagdgbfbfgdbfcfdfbfcgfcbfddgdbfdgddbfecfebfeecfbffbgdbffceebffdgbbffeddbfffafbfffdcbfgefabgaeegbgagcgbgageebgagfdbgbbggbgbcfgbgbfdfbgbfeebgbffdbgcedfbgcgddbgdafgbgdcdgbgdddfbgddfdbgdfagbgdfddbgdfgabgeccgbgededbgefafbgfbcgbgfbeebgfccfbgfdfbbgfeebbggbdebggbgbbggddccadeggcaeggdcafffecaggbgcaggdecbdfffcbdgfecbedfgcbefgdcbegdfcbffcgcbfgcfccaggfccdfdgccdgfdcceedgccefgcccfcegccfddgccfdefccfeeeccfegcccffgbccfgbfccgbegccgbgeccgcfeccgcgdccgfeccdbgefcdcegecddbggcddcgfcddgdecdeaggcdebgfcdeddgcdeedfcdegbfcdeggacdfdeecdfefccdffagcdffddcdgdgbcdgebfcdgececdgegacdgfebcdggccceagfecebgeecebggccecefececffdcedaggceddgdcedeeecedfdecedgcecedgddceebffceebgeceedcgceedgcceefceceefgacefcdfcefceecefgcccefgeacegadgcegagdcegdbfcegdecceggbcceggcbcfadfgcfaegecfbefecfbgbgcfbgdecfcbfgcfcdfecfcfcfcfcgagcfddcgcfddeecfdfcecfdgbecfeagecfedbgcfeddecfedgbcfeeagcfeeddcfefebcfegdbcffagdcffbcgcffbdfcffcbgcffeebcfffaecfffcccfgbedcfgbfccfgccecfgdbecfgdebcfgedbcgagbgcgagcfcgagfccgbaggcgbcffcgbgbfcgccgdcgcebgcgcfddcgcgafcgdbefcgdceecgdcgccgddedcgdeddcgdgbdcgeagdcgeccfcgedfbcgeeafcgefcccgefeacgegcbcgfaeecgfcagcgfcfbcgfdbecgfdcdcggaedcggbcecggbfbdabgfgdacgegdacggedadefgdadfffdaefefdafcgfdaffgcdagefddaggagdaggbfdbagfgdbbggedbcdggdbcfgedbcgefdbdeffdbedgedbeggbdbfddgdbfdefdbgecfdbgegbdbgfagdbggcddcbdggdcbfgedcceffdcdffddcdgbgdcefcfdcefdedcefgbdcfdeedcfdfddcfeeddcfegbdcffcedcfgcddcgceedcgdfcdcgdgbdcgfcddcggccdcggeaddafgeddbeffddbgcgddbgeeddcbggddcdffddcdgeddcedgddcegdddcggbdddddgddddfedddgagdddgcedddgddddedeeddfaegddfcfdddffebddfffaddgagdddgcgbdeagfddebeefdebgbgdeccegdececgdecgcededbgededcgddedgbededgcddeebfedeeccgdeedcfdeeecedeefebdeegbddefagddefbcgdefbdfdefbfddefccfdeffbddefgaddegcgadegdebdegedbdegeeadeggcadfacfgdfaedgdfafgcdfbbgfdfbcffdfbffcdfbgbfdfbgcedfcafgdfccefdfccfedfcdcgdfcddfdfcdeedfcededfcfgadfcgafdfcgbedfcgdcdfdaegdfdcdfdfdecedfdegadfdfafdfeadgdfedagdfeefadfefbddfegdadffafddffddcdffeccdfffdadffgcadfgaeddfgbagdfgedadgaefddgafgbdgbagfdgbbgedgbdeedgbefcdgbgbedgbgcddgcaffdgcbdgdgcbefdgcebfdgcgdbdgcgeadgdaefdgdbeedgdcdedgddbfdgdecddgeacgdgedafdgedbedgeebddgfadedgfbagdgfcafdgfcdcdggbcddggbfadggdadeaaggfeabggeeacfegeaegedeaegfceafddgeafdefeafdfeeafdgdeafeeeeafgageagafgeagdeeeageedeagfddeagfgaebbefgebcdfgebcfdgebcgcgebcgdfebcgfdebdbggebddegebddgeebdfeeebdffdebdgdeebebfgebeeeeebegceebfcefebfecfebffceebfgfaebgageebgbefebgcfdebgeddebgegaebggaeebggbdecagefecbgfdeccbggeccedgeccggbecddgdecdegcecdgbfecdggaececgdecegbeecfegaecffafecffcdecgcbgecgccfecgcgbecgdceecgfaeecggcbedaeegedaegeedaffeedaggcedbcfgedbegdedbfcgedbgcfedccffedcddgedcegcedcfcfedcfededcfgbeddcgdeddefceddgcdeddgdcedeaegedeaffedefcdedfdgaedffaeedfgcbedgbdeedgcfbedgdafedgfadedggcaeeacgfeeaegdeeafcgeeafdfeebeeeeebgageebgddeecagfeecbgeeecdcgeecdgceecedeeecfageecfbfeecfddeedaffeedageeedccgeedcfdeedgdbeeeedceeefbdeefbfceefcageefcgaeefdbeeefddceeffadeegaedeegbgaeegcbeeegccdeegfcaefaaggefafgbefagfbefbcdgefbcfeefbecfefbfddefbgfaefcceeefcefbefcfbeefcgbdefcgdbefcgeaefdbeeefdbgcefdccfefdcdeefddddefdeebefdfbdefdgdaefeagcefebedefedcdeffaedeffagbeffbageffbceeffcdcefffbbefgbfaefgecaefggaaegacdgegadfdegafagegbbfeegbbgdegbeecegbfafegcaefegcbgcegcccfegccfcegcebeegcfeaegdaeeegdbbgegdcbfegdcddegdedbegdeeaegdfbcegdgbbegebagegefcaegfabfegfbdcegfcaeegfdcbeggafaeggcadfabdggfabgdgfaceegfacegefacfeffacgdffadffdfadgbgfaeaggfaefedfaegbffaegecfafafgfafagffafbegfafcfefafcgdfafdgcfafecffafgbefagccgfagdedfagefbfagfebfbbeegfbbgcgfbcegdfbcfcgfbdfgbfbebfffbeceffbeebgfbeeedfbefagfbefcefbegfafbfafffbfdcffbfdedfbfefbfbffbefbgadgfbgbdffbgcedfbgcgbfbgdecfbgfdbfcaeegfcafgdfcaggcfcbefefcbegdfcbffdfcbgcffcbgfcfcccgefccddgfccecgfccfedfcdfecfcdgaffcedbgfcedcffceeddfceefbfcegbdfcfadgfcfafefcfbeefcfccffcfdagfcfdcefcffccfcfgadfcfgcbfcfgdafcgdfafcgeccfcgedbfcgeeafcgfadfdadgefdafgcfdagcffdagdefdbcegfdbcfffdbfedfdbgbffdcagffdcbfffdccdgfdceedfdcegbfdcfbffddafffddbfefddbgdfddcfdfddcgcfddddefddefbfddfebfdebcgfdecbgfdedagfdeebefdfagcfdfcddfdffcbfdfgbbfdgafcfdgbagfdgcbefdgdbdfdgebcfdgedafdgfacfdgfcafeacegfeadgdfeaecgfeaeeefeaegcfeafedfebebgfebedefebefcfebfagfebffbfebfgafebgcdfebgfafecdcffecdfcfeceddfedcedfeddagfeedaffeeebdfeegcafefaedfefbfbfefcbefefgabfegbfafegcaefeggaaffacfeffadfdffbbfeffbeagffbefbffcbcgffcbeeffccgbffcdgaffceafffdafdffdcfbffddbeffdeaeffeadeffeagbffebecffebgaffecfaffedbdffeedafffacefffbaffffcbdffffbaffgbccffgccbffgdacffgdbbffgebafgaccgfgaceefgaebffgaecefgaefbfgafcdfgaffafgagaefgagbdfgbadgfgbbfdfgbccffgbcdefgbecdfgbeebfgbefafgbfccfgcacgfgcaeefgcagcfgccagfgccgafgcdbefgcddcfgcebdfgceccfgcgacfgdacffgdbfbfgdcebfgddbdfgdgabfgeabffgebaffgebcdfgebebfgfacdfggcacfggccagaadgggaafgegabdgfgabgcggaccgfgacdeggadgbfgadgddgaebffgaecfegaeegbgafbefgafdfcgafecegafefbgafgaegafgccgageafgbaeeggbafdggbafefgbaffegbafgdgbbbgggbbdffgbbedggbbgcfgbbgedgbcecggbcfgbgbcgbfgbcgecgbdagfgbdcdggbdcfegbdfddgbeaffgbebefgbebgdgbfbdfgbfcdegbfgdagbgbcfgbgcbfgbgddcgbgeaegbgfbcgbgfcbgcadffgcaegdgcagbggcbbfggcbcffgcbddggccdeegccfddgccgcdgcdaeggcdagegcdbdggcdddegcdegagcdgdbgceafegcecbggcedddgcedecgceecdgcfdebgcfebdgcgadegcgcfagdabgfgdaceggdaedfgdaffcgdagbfgdagfbgdbfecgdbgdcgdbgebgdcaffgdcbdggdcdfcgdcdgbgdcfafgdcfdcgdcgccgddagdgddbcggddcfcgdddecgddedcgdeadfgdeaeegdeafdgdeagcgdebdegdecbfgdeccegdececgdeedbgdeeeagdfbddgdfcafgdfcdcgdfddbgdfebcgdfgabgdgbfagdgceagdgdbcgeabgegeafcegeaffbgeagafgeagbegeagdcgebaffgebdcfgebddegebeecgebfdcgebfebgebffagebgbdgecbcggecbeegeccedgeccgbgeceafgecebegedcaggedccegedcecgedcgagedgacgeebbfgeebcegeebddgeeeadgefbdcgefcccgefdcbgegdcagfaagegfbagdgfbbgcgfbgbcgfcacggfcadfgfcaeegfcagcgfcbbggfccaggfcccegfcdfagfcfbcgfdacfgfddeagfdfcagfeabfgfebafgfefbagffdbbgfgadbgfgbbcgfgeaaggaaefggabeeggacbgggacdeggacgbggadgaggafaeggafbdggafccggbafdggbagcggbbgbggbcagggbcfbggbeaeggbeccggbedbggcadeggcbbfggcbddggccebggcdaeggcdeaggdaddggdbcdggdeacggeacdggecadggeccbggecdaggedcaggfbdaggfcacaaegggaaggegabfgegacdfggacfgefacgdfgacgffeadefegadfffeadgdffadgfdfadgfgcaebfggaeceggaedfegaedggdaefcfgaefgbgaegbfgaegcegaegdfeaegfbgaegfcfaegfdeaegfedaegffcaeggbfaeggceafcfgeafdcggafdfdgafedffafegfcaffefdafffcfafffdeafgcdgafgcfeafgcgdafgdfdafgfddagafgfagcegeagcggcagdefeagdfcgagdfgcagdggbagecffageeeeagefdeagefedagegfbagfdcgagfecfagffagagfgfaaggbfeaggcfdaggdbgaggeddaggeecbbcgggbbeggebbfefgbbfggdbbgcggbbgdfgbbggeebbgggcbcdgffbceegfbcegfebcfdgfbcfeegbcfeffbcgcfgbcgdegbcgdgebcggcfbdbfggbdddggbddgdgbddgefbddggdbdefdgbdfedgbdfegdbdffdfbdfgedbdfggbbdgbfgbdgdfebdgfcfbeaggfbecgefbeeegdbeefdfbefddgbefecgbefeeebefegcbeffdebefgddbegbffbegcgdbegdfdbegecfbegfddbegfecbeggcdbfbfgebfcdgfbfdcgfbfdeefbfdffdbfdgbgbfdgdebfdgedbfecgebfefbgbfefcfbffbegbffdcgbffddfbffedebffeedbffegbbfffagbfgagebfgbdgbfgeecbfgfbebfgfcdbfgfdcbgafgebgaggdbgbcggbgbeffbgbegebgbfdgbgbfefbgcdgebgceefbgcgbgbgdbgfbgefagbgegdcbgegfabgfaegbgfddebgfecebgfefbbgffcdbgfgccbggdfbbggfaebggfccbgggbccaeeggcafdggcafegfcaggdfcbcggfcbdggecbeefgcbeegfcbegdgcbfgfdcbfggccbgdegcbgdgeccdefgccdfffccedfgcceeffccegeeccffeeccfgbgccfggbccgegcccgggacdbgegcdcfffcddeegcddfdgcddffecddfgdcdedffcdedgecdefcgcdefdfcdeggbcdfcegcdfcgecdffcfcdffedcdffgbcdfgagcdgcefcdgdfdcdgedecdgfbfceaeggcecfefcedcgfceddffcedefecedfcgcedgfcceeddgceefbgceegcecefedecegagecegdedcfadggcfbegecfbgeecfcegdcfcgbgcfcgdecfdcegcfdedfcfdegccfdfgbcfdgagcfdgcecfecgdcfedfdcfeebgcfefgacffdbgcffdgbcffgaecfgdgacfgebecfgecdcfgefacfgfdbcfggbccgaeffcgafdgcgbefecgbffdcgcaggcgcbgfcgdddfcgddgccgdecfcgdedecgdfcecgeagecgeceecgeddecgedgbcgfafecgfcbgcgffbdcgfgdacggadfcggagccggbdecggdbecggddccggeaecggfbcdacgfgdaffefdafgdfdagefedagfgcdbagggdbbgfgdbcgegdbdgfedbefdgdbfcfgdbfcgfdbfeefdbgdefdbgefddbgfbgdcafggdcaggfdcbeggdcbffgdcbfgfdccefgdccegfdccgefdccggddcddfgdcdfefdceeefdcegdedcfegcdcffdedcfgdddcfgfbdcgdfddcgededcggbedcggfaddbfffddceegddcgeeddcgfddddbggdddeefdddgdeddebfgddedfeddegagddegecddfbffddfdeeddfecfddfegbddffagddffecddfgcdddfgfaddgbdgddgbgdddgcfdddgdcfddggbddecfdfdecfgcdeddfededefddedfcfdedgfbdeeefcdeegafdeegbedefceedefcfddefcgcdefeecdeffbedefffadegfeadfbdgedfbedgdfbggbdfcbgfdfccegdfccffdfdbegdfdbgedfddgcdfdebgdfdecfdfdfgadfebgddfeceedfeddedfeefbdfefdcdfefebdffafedffdcedffdfbdffeafdgadegdgaeefdgaegddgafdfdgagbgdgageddgbaggdgbfcfdgbgbfdgbgdddgccefdgccgddgcegbdgcfgadgcgcddgcgebdgdbfedgdbgddgddbgdgdddedgddeddgdefbdgdgccdgecgbdgedfbdgeeafdgefdbdgfcecdgfcgadgfdebdgffbcdgfgcadggcafdggcbedggdaedggecbeadfffeadgdgeadgfeeadggdeaegfdeafdegeagcegeagefdebagfgebbgegebcfgeebdeffebdfdgebdffeebedffebedgeebegcfebfcffebgcgdebgddfecagffecbegfecbfffecbgdgeccdgfeccfdgeccfgdecddegeceedfecegceecfcefecfcfeecfebgecfegbecffbfecffceecffgaecfgbeecfgdcecgfebedagdgedbeegedbeffedbfefedccgfedcdffedcdgeedcefeedcfdfeddcegedeagfedefagedeffbedegafedfcgcedfdcfedfdededfefbedfgdbedgagdedgbdfedgcededgcgbedgfdbeeacggeebfeeeebffdeebgedeebgfceebggbeecaggeecfbgeecfgbeedagfeedcdgeedcgdeedeedeeebgdeeecfdeeedbgeeefafeefbcgeefbdfeefbgceefcbgeefdbfeefdfbeefdgaeeffeaeefgdaeegbbgeegbcfeegcceeegceceegdbeeegebdeegeeaeeggcaefabggefacfgefadegefaedgefaefeefagcfefagdeefagfcefbbfgefbdfeefcafgefcagfefcbffefcdfdefcfddefcgdcefdaffefdbdgefdbefefdcgcefddcfefdeagefdegaefdfbeefdgbdefeadgefeaefefeagdefebcgefebeeefedgaeffcageffcddeffgacefgdaeefgdeaegaaggegacffegaedfegbdgcegbebgegbecfegbegbegcaffegceagegceddegcgdbegdbfdegdbgcegdccfegddbfegdeebegdfaeegeddcegeeccegegacegfbddegfeadegfebcegfecbeggafbeggagaeggbafeggddaegggaafabffgfacffffacgfefaddgffaecgffaedegfaeeeffaeegdfaefeefafdfefaffbgfafgagfafgbffafgddfagbfffagcfefagdfdfagebgfaggebfbbggdfbceegfbcgdffbddfffbeaggfbecegfbecgefbeeeefbeegcfbfafgfbfbfffbfcfefbfcgdfbfeedfbfegbfbgafffbgceefbgcgcfbgdfcfbgfaffbgffafbggeafcaefgfcbdfgfcbdgffcbfgdfcbgdffcbggcfcccgffccgbgfccggbfcdaggfcdcegfcdddgfcddeffcdefdfcdegcfcdgddfcdgecfceafgfcedcgfceedefcfbfefcfcfdfcfdcffcffbefcfgdbfcgadgfcgdddfcgdecfcgebefcggadfdbdfffdbedgfdbfcgfdcdgdfdcfbgfdcgagfdcggafddcdgfddceffdddgcfddedefddgbefddgebfdebgdfdecgcfdefcdfdegccfdegdbfdfadgfdfccffdfcedfdfcfcfdffeafdgafdfdgbbgfdgbfcfdgcddfdggacfeadegfebcegfecceffecddffecffbfedbfefedcdffedfdcfeebfdfeedddfeeecdfeefdbfeegcbfefaeefefafdfefcgafefeaefefedbfeffbcfegdbdfegddbfegfacffaaggffadgdffaedfffagagffagceffbffbffbgafffcbdgffccdfffcceeffceddffcfafffdbeeffdcfcffddagffddecffdfaeffdgbcffdgdaffececffeddcffedebfffcbefffcebfffddbfffdeafffecbfffedaffffbbffgagaffgdadffgebbffgfbafgadcgfgafbffgagdcfgbagefgbdbgfgbefbfgbffafgbgaefgbgdbfgcaeffgcbdffgcbeefgcbfdfgcbgcfgcfbdfgcgadfgdbbgfgdgbbfgebbffgebddfgebgafgecdcfgedaefgedbdfgefbbfgfbbefgfbcdfgfbebfgfddafgfecafggadcfggafafggbaefggbdbfggdcafggeabgaagffgabfeggacgeegadfdfgaeagggaebgfgaeceggaecffgaeddggaefbggaegbfgafafggafcdggafcefgafgdcgafgebgagbefgagccggageddgagfbegaggbdgbbeeggbbfgdgbbgcggbbgdfgbbgeegbccgfgbceefgbcgdegbdbfggbdcgegbdegcgbdfedgbdggagbedfdgbeeedgbefecgbfagegbfdcfgbfdedgbfecegbffebgbfgccgbgbfdgbgcgbgbgdddgbgfeagcaffegcafgdgcbfeegcbggbgccbgfgcdafggcdbeggcdbgegcdcefgcdebggcdfbfgcdfcegcdgebgceaeggcebefgcecdfgcedcfgceddegcefafgcefbegcffbdgcffeagcgccegcgdcdgcgddcgcgeaegcgeccgcggbbgdafgcgdagdegdbgaggdbgecgdbggagdcecfgdceedgdcfaggdcffbgdcgafgdcgbegddccggddeaggddecegddefbgdeaefgdebdfgdeccfgdecgbgdedddgdedfbgdedgagdeedcgdfbcfgdfbdegdfcecgdfdfagdgadegdgfcageabgfgeaddggeaeeegeafbggeafgbgeagaggebbgegebgfageccgcgedagdgedbcggedebegedfbdgedfdbgeebcfgeebedgeebgbgeeccegeedafgeefdagefadegefbaggefbfbgefcafgefdbdgegbbegegbfagegcccgegdadgegfbagfacefgfadgcgfafbfgfafddgfbaffgfbdedgfcafegfcbdfgfcbgcgfccbggfccfcgfceafgfcfdbgfdbfcgfdcaggfdcddgfdcgagfdddcgfdfbcgfdfdagfeaedgfebgagfeccdgfeecbgfegabgffagagffbfagfgafagfgbaegfgbbdgfgcbcgfgdacggabefggabgdggaccgggadbgggadedggaefbggbafeggbagdggbbeeggbcbgggbdddggbfbdggbgbcggcafdggcagcggcbfcggcbgbggcddcggcfdaggdbceggdbecggdcebggddaeggddbdggdddbggdeadggdebcggdfcaggdgabggeaddggebafggeceaggegaaggfcbcgggaaegggaccabffggabgggeacfggeacgegfacgfegacgfgeaddgfgadfgfeadgegeaeefgeaeegefaefdfgaefgfdaefggcaegcgfaegdgeaegfdfaeggcfafdefgafedgfafefefafegeeaffgcfafgefdafgfcfafgggaagaggfagbgffagcefgagcfffagddfgagdeffagdegeagedffagfecgaggcefaggcfeaggcgdbaegggbageggbagffgbaggffbagggebbefggbbeggfbbfeggbbfggebbgdggbbggfebcegffbcfdggbcfefgbcfgfebcgegebcgffebdegfebdfegebdfgfdbdgbggbdgcgfbdgdegbdggcfbebfggbebgfgbedgefbedggdbeeeffbefggbbegaggbeggagbeggbfbeggcebeggecbfaggfbfbeggbfbffgbfcfgebfddgfbfdegebfecgfbffaggbffecgbffffcbfffgbbffgfbbffggabfgcefbfgddfbfgfagbfggbebfggebbgagffbgbdggbgbfffbgbgdgbgccggbgcfgdbgdgbgbgebfgbgeefdbgfbegbgfcfebgfebgbgfegbbggbefbggbfebggdbgbggdgbbggecebggeecbgggaecaegfgcaeggfcafggecagfgecaggfecbgcggcbgdfgcccggfcceggdccffefccfffeccffgdccfgcgccgdffccgfdfccggcfcdagggcdbggfcdcffgcdcgegcdcggecddfffcdegcgcdfcfgcdfcgfcdfdegcdfdgecdffdfcdfffdcdfgdecdgeeecdgfbgcdgffcceagfgcecegfceddgfcedfdgcedffecedgfdcefbgfcegbffcegcgdcegddfcegecfcegeedcegfgaceggbeceggcdcfaeggcfaggecfbfgecfbgefcfcegecfcgeecfdbggcfddegcfdfcgcfecegcfeegccfefgbcfeggacffcdgcffcefcffddfcffdeecffegbcfffcecfffddcfffgacfgdgbcfggaecfggbdcgbfdgcgbgdfcgccgfcgcedgcgcfdfcgcfeecgdddgcgdecgcgdfcfcgdgeccgedfdcgfbfecgfdbgcgfebfcgfeddcgfegacgffcdcgffebcggccfcggdfbdadfggdafgfedaggfddbbgggdbcggfdbdgffdbeggddbfcggdbffefdbfgeedbgdgedbgedgdbggdedcdefgdcdgdgdcdgefdcdggddceffedcefgddcgfgbdcggddddcgefddddgfdddegedddfefdddffedddgdfddfedfddgbffddgbgeddgededeagegdededgdedfcgdedfeededggbdeecffdeedfedeefbgdefdcgdefeeddefegbdeffdddeffecdefffbdefgafdefgbedegbgddegdfcdegeagdegedddegfbedeggdbdfaegfdfagdgdfcedgdfcfeedfcfgcdfdcegdfdddgdfddfedfdgfbdfebegdfedfddfeffbdffagedffbfedffcdfdffcfddffdfcdfffdcdfgfbddfggdadgadgfdgaeegdgagcgdgageedgbdegdgbggbdgcbfgdgcdgddgdbegdgdcdgdgdfecdgdgebdgebdgdgecdfdgedcfdgedfcdgeeecdgeefbdgefafdgeffadgegccdgegdbdgegeadgfaefdgfbcgdgfbfddgfccfdgfdcedggbbgdggccedgggaceabgggeadeggeadfgfeaefffeaegefeaegfeeafdfgeafdgfeafeffeafegeeafffeeagbggeagdegeagefeeagfgcebbfggebceggebcggeebddggebdegfebfggbebgcegebgffcecbggeecddgfecdggcecegdeecfecgecffdeecfgddecfgfbecgbffecgbgeecgcfeecgefcecggcdedafgfedcdfgedcffeedcfgdeddcfgedddgeeddeefedebgfedecffedeefdedfddfedfdeeedfebgedfedeedfefcedffecedfgafedgageedgbgdedgdcfedgdfcedgdgbedgegaedgfcdedgfebedggeaeeaefgeeaegfeeagfeeebdgfeebfgdeecgdeeedaggeedfgbeedgceeedgeceeeagfeeecefeeeefceeefeceefbgdeefefbeefegaeefgdbeegadgeegbfdeegefaeegfeaeeggcbefadfgefaegeefaffeefagfdefcdfeefcdgdefceeeefdagfefdddfefdebgefeceeefeeagefeebfefefebefeffaefegbdeffbcgeffdageffdfbeffeafefffbdefffeaeffgbceffgdaefgbgbefgdbeefgddcefggacegafeeegbfedegbfgbegbgagegbgecegccefegcdgcegcebgegcgcdegcgfaegdbgdegdceeegdcfdegddedegdeceegdfbeegdfdcegebcgegebfdegeefaegefaeegefeaegfadfegfcgaegfdafegfdcdeggbbfeggcafeggeadeggedaegggbafaceggfadgeffaedfgfaeefffaefdgfafgcffagddgfbafggfbbeggfbeeeffbefdffbefeefbegfcfbfddgfbfecgfbfedffbffdefbfffcfbffgbfbgdcgfbgdfdfbgeedfbgfecfbggcdfbggebfcaffgfcafgffcaggefcbfgefccdgffcddfffcddgefcdgedfcebfgfcecgefcedeffcedgdfcefdefcefgbfcegbffcegecfcfedefcgaegfcgafffcgceefcgcgcfcgdfcfcgefbfcggbdfdadggfdbgeefdcbggfdcdegfdcgdefddefdfddgfbfdeagffdeceffdecfefdefddfdfafffdfebffdffaffdffcdfdffebfdgcbgfdgebefdgfccfdgfeafdggcbfeafdgfebdgefebfcgfeccgefecefdfecfbgfecfgbfecgddfecgfbfedcgdfedfddfedgebfeeagefeededfeedgbfeeeddfeefcdfefcbgfefcfcfefdecfeffdbfegacgfegbedfegcfbfegdebfegeccfegedbffadgeffaffdffaggbffbcgeffbdfeffbfcfffcagfffcbgeffcdcgffcecfffcfecffcgafffcgcdffdccgffddedffdeceffdeddffdfebffebgcffecedffegcbfffbbgfffddcfffedbfffgacffgafcffgbbfffgcebffgdeaffgedafgacegfgacgefgafdefgagagfgbafgfgbagffgbbfffgbceffgbebgfgbegbfgbgfafgcbeffgceddfgcgbdfgcgdbfgdadgfgdagdfgdbfdfgdcfcfgddagfgddfbfgdeaffgdedcfgdfccfgebbgfgedbefgefadfgefbcfgegacfgfcebfgfdaefgfdbdfgfeadfggagafggbdcfggcbdfggeacgabfgfgabggegadcgggaddgfgadfgdgaeggbgafcgegafefdgaffgbgafgfbgagfaggagfbfgagffbgbaegggbaffggbageggbbdgggbbgdggbceeggbcfdggbddeggbdgcfgbeddggbeeeegbeefdgbefcfgbfgafgbgdcfgbgdfcgbgegagbgfcdgbggdbgcbfefgcbfgdgcbgdfgcbggcgccedggcdddggcdfbggcdfedgcebeggceddfgcedeegceebggcefgagcegdcgcfddegcfdgbgcfeaggcffafgcfgaegcgbcggcgbdfgcgccfgcgefagcggbcgdadgfgdageegdbcfggdbegdgdbfdfgdbffdgdbgcfgdcdgdgdcedfgdcgecgdcggagddafggddcgdgdddcggddffbgdecgcgdeecegdeeddgdegaegdfbeegdffaegdgbgbgdgcaggdgcfbgdgdafgdgdfagebfbggecbffgeccfegececfgeceedgecfcegecfddgecffbgecgcdgecgfagedaeggeddcfgeddfcgedeecgedgaegedgdbgeeaefgeedaggeedcegeedgageeeafgeefaegeefbdgeegcbgefbcfgefbgbgegabggegbbfgegbcegegeadgfaeeegfagfbgfbcgdgfcddegfcdfcgfceaggfcefbgfcegagfcfebgfcffagfcgaegfcgbdgfcgccgfdcedgfddddgfdeebgfdgcbgfeacggfebbggfebdegfebedgfecaggfecbfgfecddgfedafgfedbegfedcdgfefadgfegacgffafcgffagbgffbaggffeadgffebcgfgaaggfgaecgfgagagfgbebgfgdcbgfgddaggabgeggacgdggadfdggadgcggagebggbcfdggbebfggbefbggbgaeggbgbdggcafeggcagdggceafggcecdggcedcggdagcggdddcggddfaggdfbcggeacfggebgaggecdcggegabggfaceggfbdcggfddaggfeacgggcbcgggcdagggdcaadefggadfffgaeefgfaeffgeaeggfdafeegfafefffafegdgafffgdaffgeeafgdffafgegdafggdeafgggbagcgegagdegfagdgfeagegcgagegdfagegeeagfdgeagfefeaggdefaggefdaggfedbagfggbaggfgbdefgfbdfdggbdgdgfbdgfdgbdgfgdbecggfbedgegbefdfgbefdgfbegedgbfcfgfbfdfegbfdgfebfecggbfeegebffbggbffdffbffgfcbffggbbfgfcfbgagfgbgaggfbgbffgbgcdggbgcfgebgdcggbgdeegbgdegebgebggbgeeefbgefgcbgffgbbgfgagbgfgddbggbegbggcgdbggegbbggfcebgggfacageggcbefggccdfggcceeggccffegccfgdgccfgefccgggccdcggfcdefegcdefgecdegefcdfdgfcdfgcgcdgffdcdggdecebggfcecgegcedgdgcedgfeceeeffceegcgceegeecefbggcefefecegbgfcegedfcegfedceggceceggeccfafggcfagfgcfcegfcfecfgcffddgcffgagcfgbegcfgeedcfggafcfggfacgeddgcgedefcgedfecgeedfcgeeeecgeefdcgfbffcgfddfcgfedecgfeedcgffbfcggcdfdafggedagfffdagfgedbefgfdbeggedbfegfdbgggcdcefegdcefgedcfcggdcfgfddcgfcgdcggcfddagggddbfggddddggdddgefddegcgddfcfgddfegdddfffdddffgcddfgdeddgcgeddgedfddgffcddggagddggfbdebffgdedffededggcdeeedgdeeffddeegcfdeeggbdefaggdeffdedeffeddefgbfdefgecdegcfedegdfddeggbedfbggddfcdgfdfcfgddfcgcgdfcgeedfddgedfdfgcdfdgcfdfeefddffecfdffefcdffgcddffgfadfgcdfdfgdbgdfgdcfdfgeecdfgfdcdfggbddgbdgfdgbeegdgbffedgdgagdgecefdgeegbdgefagdgegfadgfagedgfcdfdgfceedgfdcfdgfegadgfffadgfgbddggadgdggedcdggfcceafefgeaffgeeagfefeaggfdebdgegebedggebegefebfgdfebfgeeebfggcecddggecdgefececggecegdfeceggcecfeefecgdefecgeeeecgefdecgffcedbffgedbgegedcegfedddgfeddfdgeddgeeededgeedfcegedfcffedfddgedfeeeedffdeedffededgddfedgfagedgfbfedggcdedggdcedggebeebfegeecegeeecgeeeedcfgeeddffeedefeeedegdeedffdeeeaggeeecegeeecffeeeffceefagfeeffbfeefffbeegaffeegageeegcdfeegdbgeegdfceegeceefaefgefbegeefbffeefbgcgefbgeeefccgfefcdegefcfeeefcgedefdddgefdedfefdfdeefdgddefecgdefefgaeffbdgeffccgeffceeeffcfdeffdfcefffafefffdceffgccefgcgbefgdddefgdfbefgfdbegadfgegaeegegaffeegageeegbedgegbeefegbggbegcaggegcbfgegccegegcecgegcfdeegcffcegcgecegdafgegdbffegdebgegdedeegdefcegdfagegdfbfegdfceegdffbegdgbeegdgcdegeaffegeccgegedbgegeefbegefcdegefebegegaeegfafeegfecdegfgdaeggcfbeggdbeeggdebeggdfaeggfadegggcafadggefaeefgfagbggfagcgffbbgfgfbbggffbddggfbefeffbegeefbfgfcfbgbfgfbgegcfbgggafcbggefcdegefcdfeffcefcgfcefeefcegbgfcegfcfcfefdfcfgcefcgbfffcgbgefcgcdgfcgcfefcgddffcgdfdfcgebgfcgfagfcgffbfcggaffcggfafdaeggfdaggefdbgeffdcgfdfddfcgfddgedfddggbfdefbgfdegbffdfafgfdfddffdffecfdfgbefdfgcdfdgcgcfdgeecfdgefbfdgfebfdggdbfeaegffebdgffebfdgfecdegfeceeffecefefecfcgfedcegfedecgfededffedfbgfedgecfeeddffeeecffeeefcfefagefefbeffefdbgfefddefefdedfefebffefffafefgdbfegadgfegdfbfegebefegedcffaegeffafefffbbggffbeefffbfeeffbfgcffcfbgffcfcfffcfgbffcgceffdafgffddcgffddfdffdfgaffdgbeffdgcdffdgdcffeageffebdgffebefffedcfffedfcffefbefffcgbfffdagfffdecfffefaffffaeffgbgbffgcceffgdafffgeccffggcafgabggfgaedgfgaegdfgbdgdfgbecgfgbfdefgbgcefgcecffgceedfgcfddfgcfecfgcffbfgcgbefgcgebfgdbeffgdcdffgddfcfgdebffgdfebfgeaeffgebgcfgecdefgedbffgedgafgegbcfgegdafgfbedfgfbgbfgfcddfgfcfbfgfebdfgfgacfggagbfggbcefggcdcfggcebfggfbbfgggbagabgfggadgfegaecgggaefefgaegdfgafcfggafdffgafdgegagefdgaggaggbbggegbecfggbfbgfgbffedgbfgddgbgcfegbgdfdgbgefcgbgfaggcbfffgcbggdgccgcggcdcfggcdcgfgcddeggcdgdegcebgfgcfcefgcfddfgcfdeegcfdfdgcfefcgcffecgcgfafgdagdggdbcgggdbgdfgdbgfdgdcfgcgdcgbggddffcgddgbfgddgecgddgfbgdedeegdfbdggdfcfdgdfdedgdfdgbgdfeaggdfefbgdfgaegdfgdbgdgadggdgbcggdgcbggdgdgageaggcgebdgegebfcggecbgfgecgaggedbeggedbgegededegedfbfgedgebgedgfageebefgeeeecgefbeegegafdgegccegegeeageggacgfadeggfbceggfbfbggfbfcfgfbgddgfcagfgfcfecgfcgafgfdagegfdcfdgfddbggfddcfgfdeaggfdeecgfdgdbgfeccfgfedbfgfedcegfedddgfeebegfefbdgffacggffbcfgffbfcgffcddgffdebgffeccgffedbgfgabggfgdeagfgebcgfgfcaggaddgggaedfggagfbggbdeeggbdfdggbdgcggbecfggbgebggcebfggceceggcefbggdaefggddfbggdeafggdfeaggebdeggebfcggedafggegcaggfacfggfagbggfcafggfccdggfedaggffbbgggbdcgggbebacgfggadgggeaefffgaefggeaegegfaeggdgafdfggafeeggaffegfaffgefagdgffagedggagffgdaggdgeaggffdbbggfgbcggffbdeggfbdfggebdgfegbedggfbefgefbegdfgbegfgdbfdeggbfefffbfffefbffgeebffggcbfgdgebfgeefbfgffdbfggedbgdgefbgeggcbgfdegbgffcgbgfffdbgfggbbggbfgbggegcbggffcbgggfbcagfggccegfgccgfegcdgdfgcdgeegcdgegecedggeceeefgceefffceegdgceegefcefdfgceffdgceffefcegbggcegedgceggbgcegggbcfcgegcfcgffcfcggecfdggdcfefefcffbggcffeefcffefecfffgccfgcffcfgdefcfgdfecfgdgdcfgfgbcfggeccgbeggcgcggdcgdfdgcgecgfcgedegcgfcegcgfdfecgffedcgfffccgfgbfcggddfcggecfcggedecggfdddceffgdcffgedcfggdddbgggdddffgdddgffddfdfgddffefddffgdddfgfdddgefedebgfgdedggddeeeegdeefdgdeffcgdeffgcdegaggdegcffdegecgdegfcfdeggagdeggecdfafggdfbgegdfcgfedfdeegdfdffedfdgeedfecfgdfedegdfefdfdffdefdffegcdffgecdfgddfdfgdfddfgegbdfgffbdgbfgedgceffdgcgcgdgcgfddgdedgdgdfgcdgeaggdgecgedgedefdgefgbdgegagdgegdddgfafgdgfbgedgfcdgdgfddfdgfdfddgfecfdgfegbdgfffbdggaegdggagedggbgddgggaeebeffgebffegecefgeecfdfgecfeffecffgdecgcgfecgffdedagggedceggeddfegedefgdedfdffedfeefedffgcedgaggedgdfeedgegcedgfbgeebgffeecdggeedegeeeeegdeeeffdeeegdeeefeeeeegbegeegbgeeegcgdeegedeeegfbfeegfceefbefgefceegefcfdgefdcgfefddffefdeefefeaggefefedefeggaeffafgeffcdgeffedeefffeceffgebefgageefgbgdefgddeefgdedefgeecefgfbeefggaeegafegegbcggegbfefegbfgdegcdegegcfcgegcgbgegcggbegddefegdgddegdggaegebgeegedeeegeebgegeecfegegbeegfbgdegfcfdegfddeegfdgbegfebfegfeecegfefbegfegaegffafegfffaeggdgaeggfeaegggdafaeeggfafdggfafefgfagfeffbdggefbefegfbfffefbfgdffbfggcfbggedfccfgffcdgdgfcefgdfcfdfffcgdeffcgedffcgegcfcgfbgfcgfedfcgffcfcgfgbfdbeggfdbffgfdcegffdcgdgfdcgeffddcggfddfdgfddfeffddgeefdefcgfdfgbffdfgddfdgceffdgdcgfdgfddfdgffbfdggdcfdggfafeaffgfeagfffebdggfecdgffecfgdfecgeefecgfdfedcgffededgfedfcgfedfdffeecegfeecfffeefdefeegcefeegecfeegfbfefcfefefdeefeffcefefgbefegdbgfegeagfeggaeffadggffcbggffcdegffceefffcefeffcgcfffcgdeffcggbffdbgfffddefffddfeffdfbgffdfdeffdffcffdgddffeecfffefbffffdedffffebffgadgffgbdfffgdfbffgdgaffgfaeffgfccffgfeaffggdafgacggfgadgffgafeffgaffefgbefefgbfcgfgbfgcfgbgbgfgbgedfgccegfgcfbgfgcfcffgddcgfgddeefgdeedfgdefcfgdfagfgeaegfgebgdfgecgcfgeeagfgegbdfgfbeefgfbfdfgfccffgfcedfgffccfgfgcbfggadffggbbgfggbdefggbfcfggebdfggedbfggeeagadfgfgaefffgafdgfgafegegagdffgageefgaggedgbbgfggbcfgfgbcgeggbddgggbdfgegbdgdggbdgefgbecgggbedfggbeegegbefefgbegdfgbfbgggbfdgegbffdfgbfgcfgbgbfggbgceggbgecggbgfdegbgffcgbggcegccfffgcdfgdgcdgcggcdgeegcdgfdgceefegcegbggceggbgcffbggcfffcgcgdeegcgeedgcgefcgcggfagdbfeggdbfgegddfdfgdeagggdeegcgdfagfgdfeedgdfgebgdgaeggdggdbgeagfegebfgdgebgfdgedbfggedddggeddfegeddgdgededfgedeeegedfcfgedfgbgeeafggeeagfgeebeggeecdggeedeegeedgcgeeegbgeefecgeegcdgefbgdgefceegefcfdgefdbggefdgbgefeaggeffafgefgaegefgccgegadggegcedgegcgbgegdgagegeafgegecdgegfaegegfbdgeggbcgfacgggfbedggfccgegfcfbggfcffcgfcgddgfcggagfdcdggfdecfgfdfgagfeecegfefdcgffdddgfffbdgfffccgfgbgbgfgdebgfgfadggaggbggbcffggbddgggbfdeggbfedggbgecggbgfbggcafgggccgdggcfagggdcfdggddbgggddgbggdeddggeafeggecfcggeecdggegdaggfbdeggfbgbggfcfbggfdafggffcbggffdagggbagggggbaaaaaaaegggeafefggafgfffafggefageeggagefgfagfgdgaggfefagggeebdgggebeegfgbefgegbegfgebfegffbfgeffbfgfdgbgdggebgeefgbgefegbgffdgbgffefbgggdebgggfccbgggfcedggfceefgfcefegfceffffcefgdgcefgefcegeegceggeeceggfdcfcgfgcfdggecfedggcfeegfcfefegcfefffcffcggcfgbggcfgdffcfgedgcgdfffcgdgfecgeegecgeffecgegfdcgfbggcgfcfgcgffdfcggbfgcggbgfcggcegcggcgecggedfcggeeecggfcfcggfgbcgggcedafgggdbffggdbgfgfdcgggdddegegddgcggddgfgdddggcgddggfddeeegfdeefegdeegfedeeggddegcgfdegeefdeggcfdegggbdfcgegdfcgffdfdfffdfdgdgdfecggdfeggcdffbggdffdgedffefedffffddffgdedfgcffdfgdefdfggagdfggecdgagfgdgbgegdgbggedgcefgdgcfffdgeegddgefcgdgfddgdgfdgddgfefddgfgdddgfggadggbgedggcdgdggfgadgggbedgggebebfffgebgegfecefgfeceggeecgeegecgegeecggeeedeefgedfdgfedfgcgedfgeeedfgfdedgeefedgfcgedgfeeedggbgeebgfgeebggfeecgegeecggeeedfgeeedgfeeeegeeeeffgceegcegeegedfeegefdeegfgbeeggceefcefgefcfgeefcggdefdegeefdgcgefdggcefedgeefeedgefegcfefegedefeggbeffddgefffdeefffgbefgedeefgeedefgegbefggfaegafgfegbfegegbfffegbggdegcfgdegcgeeegdgdeegecegegecgeegegagegegecegfafgegfdgcegfebgegfgcdeggdbgeggfcdegggccegggeafaggdgfagggdfbdfggfbfffffbgegefcdgegfceefgfcfefffcfegefcfgfdfcgbggfcgcgffcgdgefcgefefcgegdfdagggfdbgfgfddegffddfegfdeegefdefgdfdegcgfdegdffdfdegfdfedgfdffgcfdfgbgfdfgcffdfgedfdfgfcfdgcfffdgeeefdgegcfeafggfeaggffecefgfeddfgfeedgefeefgcfeeggbfefbfgfefbgffefdgdfefegcfeffedfegbfffegcdgfegebgfegffbfegfgafeggbefeggfaffbefgffbggdffcfdgffcgeeffddegffddffffdggbffeaggffedefffedgdffeedfffefbgffefgbffegbffffagffffcfefffeedfffefcffffgafffgfaffgageffgcdfffgddefgagfefgbdfgfgbgdffgbggcfgddeffgdefdfgdfdefgdgcefgdgfbfgedcgfgeedefgefagfgegebfgegfafgfbdgfgfbfefgfdedfgffbefgfgdbfggcfcfggcgbgadggfgaffeggageffgaggfdgbdegggbeegfgbffefgbfgeegbgdeggbgegdgcaggggcbgfggccgeggccgffgcefdggcefgdgcfgedgcgagggcgcffgcgdgdgcgfcfgcgfedgcggaggdafgggdbggegdcefggdcgfegddgdfgdefcggdfbgfgdffbggdffdegdgdfdgdgebggdgeedgdgfbfgdgfcegeafgfgeagffgeccgggecdgfgecffegedffdgedfgcgedgdegeedgdgeeecggeeefdgeeffcgeegcegefbffgefbgegefcdggeffaggeffcegefffbgefgbegefgcdgefgdcgegaffgegbfegegcgcgegdbggegdedgegeddgegefbgfaegfgfbdfggfbeffgfbgeegfcefegfcegdgfcfeegfebgegfecfegfefbfgfefgagffceegfggdaggaffeggagfdggbfdfggbgdeggcfbgggdcdgggdcfeggdeedggdfgaggeaffggeebfggeeceggefdcggegdbggfcdeggfedcggffaeggfgadgggacggggdbegggddcggggacggggbbaaaabaabaaafgeggagdgggagegfgagfeggagfgffbdfgggbegggebgffgebggdfgbggeegbggfgdbgggcgbggggccdggffcefeggcefggeceggfecfeffgcfegegcfffffcfffgecffgdgcffgfecfggdfcgdfgfcgefegcgeggdcgfdgfcgfeegcgffefcgfgdfcggegdcggfdfcgggdedbggfgddffgfddgfffddggefdedfggdegffedegfgddeggcgdeggeedfbgggdfcggfdfdfgfdfefffdffeegdffgcgdfgdffdfgfdfdfggfcdfgggbdgcggedgdegfdgdfegdgdgfedgeffedgfegddggbfgdggdefdgggbfdggggaeafgggebfgfgecgfffeddggfedeggeedfefgedfgefedfggdedgeffeebgggeedeggeedgffeeegdgeeeggdeefcggeegeefeegffdeeggdeeeggfcefcgffefdegfefecggefefdgefgaggefgecgefgefdefgfedefggddegcggdegedgeegeeefegfbgfegfdfeegfgeceggcfeeggfbffbeggffcdgfgfcdggffcffgefcgfeffddffgfddggefdfdfgfdfefffdfegefdgcfgfdgefefdgegdfdgggbfeeefffefcgffefefefeffeefefgcffegcegfegfbgfegfdefegfgbfeggfbffcggdffdeegffdfefffdffeffdgeeffegfcfffcgeffffcffffffcffgbgeffgegbffgffbfgagegfgcefffgcfdgfgcggcfgdbggfgdedgfgdegdfgdfgcfgdgfcfgeddgfgedgdfgeegcfgegfbfgfdeefgfebgfgffbffgfgcdfgfgebfggbdgfggcfdfggddefggdfcfggdgbfggecefgggbdgaefgggaegfggafgffgagefggbffffgbffgegbfgefgbgeeggceefggcefgegcegfegcfdgfgcfgfdgcgdeggcgdffgcggcfgdbfgggdbgfggdcegggddfgegdefdggdegdfgdegfdgdfbgggdfcgfgdgcffgdgdefgdgegcgdgfbggdgfdegdggddgebgffgecegfgecfgegedeeggedffegeefgcgeegbggefgfbgegdfdgegdgcgegeedgeggcdgfaffggfageggfbgefgfbgfegfbggdgfcfdggfcfgdgfdcgfgfdfcggfdfgcgfdgbggfebfggfecgegfefcfgfegbfgfegddgffbeggffebggffeedgfffgagffgbegffgdcgffgfagfgaffgfgbfegfgdcfgfgfcdgfgfdcgfgffagfggbdggafgeggbeffggbggcggcedgggcgcfggdaggggdcffggdeeeggdefdggdfedggdgbfggdgecggebgeggeebgggfceeggfddeggfdedggfdgbggffcdggffebgggcdegggdcegggeebgggfbdgggfdbaaaacaaabbaababaabbaababaacaaabaabababaabgefggbggfffbgggfecegffgcfeggfcffgegcgefgfcgegegcgffffcgfgefdbggggdcfgggddfggfddgffgdeffgfdeggefdfcgggdfffffdfgeegdfgffedgbgggdgdgffdgfggcdggegddggfeedgggbgdgggfceaggggecfggfecggegeddgggedfeggedgefgedgfegeeegegeefefgeefegfeeffegeeggcgeeggdfeeggeeefedggefefgeefegefeffeegeffegeeffffeeffggcefgdffefgfcgefggbgefggdeegcgffegddggegdfgeegegcgegfbggegfffdegfgdeegfggbeggaggeggcegeggcgeeggdefeggedfegggbfegggcefcdgggfceggffcfggefcgefgfddfggfdfefgfdfggdfdgeegfdggcgfeefgefefcggfefgdffefgeefegedgffdgdgffdggdffeegeffefefffefgdffegdffffefefffgfcfffggbffgedfffgefdffggddfgbgfffgdcggfgdeegfgdgdffgefdffgfaggfgfegcfgfgecfggfgafgggebgagegggbfggegbgdgggbgegfgbgfeggccggggceggegcfdgggcffeggcffffgcgdfggdegefgdegfegdfeeggdfgeegdgcgfgdgeefgdggcfgecgeggedfeggedfffgedfgegeeeeggefdeggefefegefgdegegedfgegeeegegfbggegfdegegfgbgfbgeggfdfdggfdgfdgfedffgfefcggfegbggffagggffgaggfgcefgfgecfgfgfbfggaeggggafgfggagffggdefeggdgdeggefcfggegecggeggaggfddfggfedeggfeedggffgaggfgebgggfdcgggfebaaabcaabbbaabcaaacbaaadaaababbabacaabbababbbaadaaaafggggagfgggaggggfbaaacbaacabababbabbabbaabbbababcaaabffgggcaaabcaabacbaaacdggggcgdgggcggdggdaaaaddgfggdfefggdfgdggdgfggddggffeecfgggedgeggeeffgfeefgegeegfffeffegfeffgdgeffgefefgfdgefgffeefggcgegdfgfegegefegfeegegfegeegffefegffgdegfgfdegfggcfcggfffdfggefdggdgfeeeggfefegffegffeffcfggffefegffeggdfffcggffffdgfffgcgfffggcffgfcgffgfdffgagggfgdfgefgdgfefgefeffgeffefgefgdfgegdffgfcfgfgfdegfggcfffgggbffgggecgafggggbffgggbfggfgcggfegddgfggdfgefgdgeeggdggeegecggfgeefeggeegdggeegefgefdfggefgcggefgfdgegdffgfbgfggfdefggfdegfgfdfeggfeegegffbgggffcgfgffdeggffdgegffedggfffdfgfgbgfgfgcffgfgdgdgfgecggfgedfgfgfbggfgfdegfgfgbggbgegggbggeggcefgggcegfggcgdgggdgdfggdggcggeffdggfcegggfedfggfgcegggbffgggbgegggcfegggdeegggdgcgggfddaaaaeaaabdaaaccaaadbaabadaabbcaabcbaabdaaacacaaccaaaeaaabaadababcabadaabbacabbbbabbcaabcababdaaacabbacacaaccaaadaabadbaabaaadbaabcbaacbbaadababacbabbbbacbabbaacbbabbbbacabbbabbbcaabcaabbcababcbaabdaaabgggfgcaaaccaacacacaacbabaccaaacfgggfcggeggcgggegdaaabdaabadabaadbaaadfffggdffgfgdffggfdfgfgfdgefggeaaaaeegfgfeffggeefgefgegffffeggfefegggfdfdfggffedgggffdfggffeffgffefgffffdggffgdfgfgeffffgefgefgffdgfggffdgbggfggbgggfgcgffggdefgggefgfegegeffgegegegegffegegggcgfbggggfdgeggfdggegffcgggfffgdgffgeegfgfeegfggdeggdefgggecggggedgfggeeegggeeffggeggcggfeefgggbfggggceggggefdgggfedaaabeaaacdaaaebaaafaaabaeaabbdaacadaacdaaadacaadbbaadcaaaeabaaebaaafaaababdabaccabadbabbadabcbbabdababdbaabeaaacaadacacbacadaacbcaaccabaccbaacdaaadaacadabbadbabadbbaaeabaafaaabaaaebaabdbaaccbaadbbabadbabbcbabcbbabdabadabbaeaabbaadbbacbbbadabbbacbbbbbbbcabbbcbabcbabbcbbabccaabdaabbdbaacaabccabaccabbbcabcacacabcacbacbaaccbabbcbacacbcaaccaabccabaccbaacgfgggcggggfdaaacdaabbdaacadacaadbaabdbbaadeggggdgfggfdgggegdggggeeaaabeffgfgeffggfefgffgefggegefgggeegffgfeggdggfegfgfffegfgffgfgeffggfeffgggdfgeffgfgegegfgfdggfgfgdgfggcggfggdgffggfefgcgfgggcggfggeggdggegggdgfeffggfegeggffgefgfggcgggdeggggdggeggffdgggfgcggggcgfgggfeegggffdgggfgcggggbgaaaagaaaceaaagaaabbeaabcdaabdcaabfaaacbdaacccaacdbaaceaaadadaadbcaaddaaaeacaafabaafbaaagaaabaafabacdabadcabaebabafaabbaeabbccabbdbabcadabcbcabccbabdacabebaabfaaacaaeacaeaacbadacbbcacbcbaccacaccbbacdabaceaaadacbadadaadbacadbbbadbcaadcabadcbaaeaacaeabbaeacaaebabaebbaaecaaafabaafbaabaaafbaacdbaadcbaaebbaafababbdbabdbbacadbaccbbacdabadacbadbbbaeabbaebabafaabbaccbbbcbbbccabbdbabbeaabcaadbcabcbcbbbbccbabdacabdbabbeaabbeabacaaaecaacccaadbcabbccabdacacbbcaeaacbadacbbbbcbbcacbcabcbcbaccaacccacaccbbacdaabcdabacdbaadaaaddaabcdaacbdaadadabacdabcadacabdadaadbaacdbabbdbacaddaaaeaacaeababeacaaebaabebabaebbaaecaaaeffgggegffggeggffgfaaabfbaaafefgggffgfgffgfffgfgfgfffggfeggeffgggegffggeggffgegggegffffggfffgfgffggegfgfeggfggefggegegggffgeggfgdgggfgefgggcggaaadeaaafcaabagaabceaabddaabecaabfbaacafaacbeaacebaacfaaadaeaadbdaadccaaddbaadeaaaeadaaecbaaedaaafbbaafcaababfabaceabaddabaecabafbabagaabbafabbcdabbdcabbebabcbdabcccabcdbabceaabdadabdbcabddaabeacabebbabfbaacaafacacdacadcacaebacafaacbccacbdbacbeaaccbcacccbacdacacdbbaceabacebaadaaeadaccadadbadaeaadbadadcacadccaaeaadaeacbaeadaaebacaebbbaebcaafacaafbabafcaaagaabbaaagbaacebaaecbaafbbaagababcdbabdcbabebbabfabacaebacbdbacccbacdbbaceabadadbadbcbadcbbaddabaeacbaebbbaecabafabbafbabagaabbaafbbacdbbadcbbaebbbafabbbaebbbccbbbdbbbbeabbcadbbcbcbbcdabbdacbbdbbbbdcabbeabbbebabbfaabcaaebcabdbcaccbcaeabcbadbcbbcbcbcbbceaabdaadbdacbbdadabdbbbbdbcabdcbabeaacbeabbbebabbecaabfaabbfababfbaabgaaacaaafcaabecaacdcaadccaafacabaecabbdcabeacacadcacbccaccbcacdacadaccadbbcadcacaebacbaaecbabdcbacccbadbcbaeacbbadcbbcbcbbdacbccacbdabccaadccabcccacbccbacccbbbccbcacccabcccbaccdaacdabbcdbbacdcaaceaabceabacebaacfaaadaaccdaadbdaaeadabaddabbcdabcbdabdadacacdadabdaeaadbaaddbacbdbcabdcabbdcbabddaabddabaddbaadeaaadgggggeaabceaacbeaadaeabaceacabeacbaeadaaebaacebbabebbbaecbaaegfgggeggggffbaabfcaaafeggggffgfggffggfgfgegggfgggffgaabagabaagbaaagegfgggeggfggegggfggfgffaaacgaaadfaaaeeaaafdaabbgaabcfaabdeaabedaabgbaacbfaacddaaddcaafbcaagbbaagcaababgabadeabbbfabbceabbddabcbeabccdabcdcabdaeabdeaabeadabebcabecbabfacabfcaabgabacaagacabfacaddacaecacafbacagaacbafacbbeacbcdacbfaaccaeaccbdaccccacdcbaceacacebbacecaacgaaadaafadabeadaebadbaeadbbdadbccadbdbadbeaadcbcaddbbaddcaadeabadfaaaeaaeaeaccaeaeaaebbcaebcbaebdaaecacaecbbaedabaeeaaafaadafadaafbbbafdaaagaacagacaagbabagcaabaabgbaadebaafcbabagbabcebabddbabgabacdcbacebbacfabadaebadbdbadccbaddbbaeadbaecbbafcabagabbbaagbbabfbbacebbaddbbaecbbafbbbagabbbafbbcaebbcbdbbcdbbbceabbdcbbbddabbecabbfabbbfbabbgaabcaafbcabebcacdbcadcbcaebbcbaebcbbdbcbccbccadbccbcbcccbbcdacbcdbbbcdcabceabbcebabcfaabdaaebdabdbdaccbdaeabdbadbdbbcbdbcbbdbdabdccabddabbddbabdeaabeaadbeabcbeacbbeadabebacbebbbbecbabedaabfaacbfabbbfacabfbbabgaabcaabfcaaddcaafbcaagacabafcabbecabfacacaecacbdcaccccaceacadadcadcbcaebbcaecacagaacbaafcbabecbacdcbadccbaebcbafacbbaecbbbdcbbcccbbdbcbcadcbdaccbeabcbfaaccabdccaccccadbccbbcccbcbccbdacccbbccdabccdbacceaacdabccdacbcdbaccdbbbcdbcacddaaceabbceacacebabcfaabcgaaadaaafdaabedaacddaaebdaafadabaedabdbdabeadacaddacdadadcadaeabdbaaedbabddbaccdbadbdbbaddbbbcdbbcbdbcbbdbccadbeaadcaaddcabcdcacbdcadadcbacdcbcadccabdccbadcdaaddaacddabbddacaddbbadfaaaeaabdeabbceabcbeabdaeacbbeaeaaebaadebacbebadaebbcaebcbaebdaaecabbecacaecbabecbbaeccaaedabaedbaaeeaaafaaadfaacbfabacfadaafbbbafcaabfcabafcbaafdaaafggfgggaaacgaabbgaacagababgabbagacaagbaabgcaaagfgggfggffgggggffggggfgfaaadgaabcgaabdfaabfdaabgcaaccfaacdeaadagaadbfaadddaadecaadfbaadgaaaeafaaebeaaecdaaedcaaeebaafbdaafccaafdbaafeaaagadaagbcaagdaabacgabafdabbbgabbfcabcagabcbfabcceabcecabcgaabdbeabdebabebdabfadabfcbabfdaabgacacabgacadeacaedacafcacagbacbagacbbfacbceacbfbaccbeacccdaccdcaccebaccfaacdbdacdccacddbacebcacecbacedaacfacacfcaadaagadaceadaecadafbadagaadbbeadbcdadbfaadcaeadcccadcdbaddadaddbcaddcbadeacadebbadecaadfabadgaaaeabeaeacdaeadcaeafaaebaeaebbdaebccaebdbaebeaaecadaecbcaeccbaedacaeeabaeebaaefaaafabdafaccafaeaafbadafbdaafcbbafccaafdabafeaaagaadagabcagacbagadaagbacagbbbagcabagdaabaacgbaadfbaaeebaafdbaagcbabbgbabcfbabdebabedbabfcbabgbbacagbaccebacecbacfbbadafbadbebadcdbaddcbadebbadfabaeaebaebdbaedbbaeeabafbcbafcbbagacbagbbbagcabbabgbbadebbbagbbbfbbbbgabbcafbbcbebbccdbbcdcbbcfabbdaebbdbdbbdccbbecbbbfbbbbfcabbgbabcaagbcaecbcbafbcbcdbcbdcbccccbccdbbcdcbbcddabceacbcebbbcgaabdaafbdabebdadcbdaebbdafabdbaebdbbdbdbccbdbdbbdbeabdcadbdcbcbdccbbdcdabddacbddbbbdeabbdebabdfaabeaaebeaccbeadbbeaeabebdabecacbecbbbeccabedabbeeaabfabcbfbacbfbbbbfbcabfcabbfdaabgaacbgacabgbabcaadecaafccaagbcabagcabcecabddcabfbcabgacacafcacbecacdccacebcacfacadcccaddbcadeacaeadcaecbcaedacagabcagbacbaagcbabfcbacecbaddcbaeccbafbcbagacbbafcbbbecbbdccbbebcbbfacbccccbcdbcbceacbdbccbddacbeaccbebbcbfabcbfbacbgaaccaafccabeccacdccadcccaebccafaccbaeccbccccbdbccbeacccbcccdcacceabcdabdcdacccdadbcdaeacdbcbcdbdacdcbbcdccacddabceaadceabcceacbceadacebaccecabcfabbcfacacfbabcfbbacgbaadaaagdaabfdaacedaadddaaecdaafbdaagadabcddabdcdabebdabfadacccdacdbdaceadadbcdadcbdaecadafabdafbadagaadbaafdbabedbafadbbaedbbbddbbdbdbbeadbcaddbdcadbeabdcaaedcabddcaeadcbaddcbcbdccacdcccadcdabdcdbaddaadddabcddadaddbbbddbcadddaadeabbdeacadebbadecaadfaabdfabadfbaadgaaaeaaafeaabeeaadceaafaeabbdeabcceabeaeaccbeacdaeadbbeadcaeaeabeafaaebaaeebabdebaccebadbebaeaebbadebbdaebcacebccaebdabebdbaecaadecabcecacbecadaecbacecbbbeccabecdaaedabbedacaedbbaedcaaefaaafaaeafabcbfabdafacacfadabfaeaafbaadfbacbfbadafbbbbfbcabfbcbafbdaafcaacfcabbfcbabfcbbafccaafdbaafeaaagaaadgaabcgaadagacabgbaacgbabbgbacagbcaagcaabgcbaagdaaaaaaegaabdgaabefaabfeaaccgaacdfaaceeaacfdaadcfaaddeaadedaadfcaaebfaaeceaaeddaaefbaaegaaafbeaafebaaffaaagaeaagccaagdbaageaabadgabaefabafeabbdfabbfdabbgcabccfabcdeabcedabcfcabcgbabdbfabdceabdecabdgaabeafabebeabecdabedcabfaeabfbdabfccabfdbabfeaabgbcacafdacagcacbbgacbcfacbdeacbedacbfcacbgbaccbfaccceaccfbacdafacdbeacdebacdfaaceaeacebdaceccacedbaceeaacfadacfbcacfdaacgbbadabgadacfadadeadafcadagbadbagadbbfadbceadbddadbecadbgaadcafadccdadcdcadcfaaddccadddbaddeaadeadadebcadfacadgabaeaagaeaceaeaddaeaecaeafbaeagaaebafaebbeaebcdaebdcaebebaebfaaecaeaecbdaecccaeceaaedbcaedcbaeddaaeeacaeebbaeecaaefbaaegaaafabeafacdafadcafaebafafaafbaeafbbdafbdbafbeaafcbcafccbafcdaafdacafdbbafdcaafeabafebaagaccagbcbagbdaagcacagccaagdabageaabaadgbaaefbaagdbabcgbabdfbabeebabgcbaccfbacedbacfcbadagbadbfbadcebadddbadecbaeafbaecdbaedcbafaebafbdbafccbafdbbafeabagadbagbcbagcbbagdabbacgbbaeebbafdbbbbgbbbdebbbedbbbfcbbcagbbcbfbbccebbcecbbcfbbbcgabbdbebbdcdbbdfabbedbbbeeabbfadbbfdabbgacbbgbbbbgcabcabgbcaedbcagbbcbagbcbbfbcbcebcbecbcbfbbccafbccbebcccdbccdcbccebbccfabcdaebcdeabcebcbcedabcfacbcfbbbcgbabdaagbdacebdaddbdaecbdagabdbbebdbcdbdcdbbdceabddadbddbcbdddabdeacbdecabdfbabdgaabeaafbeabebeacdbeaebbeafabebaebebbdbebccbebdbbeccbbecdabedacbedbbbeeabbefaabfaeabfbadbfbbcbfbdabfcacbfccabfdabbfeaabgaadbgacbbgbbbbgdaacaafdcaagccabcfcabdecabedcabfccacbfcaccecacddcaceccadafcadbecadcdcaddccadfacaebdcaedbcafadcafbccafdacagbbcbaedcbafccbbagcbbbfcbbcecbbddcbbfbcbbgacbcafcbcbecbccdcbcdccbcebcbcfacbdcccbdeacbecbcbedacbfaccbfbbcbgabccaagccbafccbfacccaecccccccceaccdadccddacceacccfabccfbaccgaacdaafcdacdcdadccdaebcdafacdbcccdcbccdccbcdcdacddaccddbbcdeabcdebacdfaaceaaeceaccceadbceaeacebadcebbccebdacecaccecbbcedabceeaacfaadcfacbcfadacfbaccfbbbcfbcacfcabcfcbacfdaacgabbcgacacgbabcgbbacgcaadaacfdaaeddabagdabbfdabcedabdddabecdabgadacafdacbedacdcdacebdadbddadccdadeadaeaddaebcdaedadafacdafbbdagabdbacedbadddbaecdbafbdbagadbbdcdbbfadbcaedbcbddbcdbdbceadbdaddbdbcdbeacdbecadbfabdbfbadcaafdcabedcacddcadcdcafadcbaedcbccdcbeadccaddcccbdccdadcdbbdcfaaddabdddadbddaeaddbadddbcbddbdaddcacddccadddabdeaaddeacbdebcadecbadedaadfaacdfabbdfacadfbabdfcaadgabadgbaaeaaageaaceeaaddeaafbeaagaeabbeeabcdeacaeeaceaeadcbeaddaeaeaceaebbeafabeagaaebabeebaebebafaebbeaebcadebcbcebccbebcdaebdacebdcaebeabebebaebfaaecaaeecaccecadbecaeaecbadecbbcecbdaeccbbecccaecdabecdbaeceaaedabcedacbedbacedbbbedbcaedcabedcbaeddaaeeabbeebabeecaaefabaefbaaegaaafaacdfaadcfaafafabaefabccfabeafacbcfacdafadacfadbbfadcafaeabfafaafbaaefbaccfbadbfbaeafbbdafbcbbfbccafbeaafcaadfcabcfcacbfccabfccbafcdaafdacafdbbafdcaafeaabfeabafebaagaaaegaabdgaadbgaaeagabadgabbcgabcbgabdagacacgaccagadbagbaadgbabcgbacbgbadagbbacgbbbbgbcabgbcbagbdaagcaacgcabbgcacagcbabgcbbagccaagdaabgdabageaaaaaafgaaagfaabegaabgeaacefaaddfaadgcaaecfaaegbaafbfaafecaaffbaafgaaagafaagbeaagdcaagebaagfaabaffabageabbgdabccgabcdfabceeabcfdabcgcabdcfabddeabeagabebfabeceabeddabefbabegaabfafabfcdabfebabffaabgaeabgbdabgccacadgacaefacafeacagdacbcgacbdfacbeeacbgcaccbgacccfaccedaccfcacdagacdbfacdddacdecacdgaaceafacebeacedcaceebacefaacfaeacfbdacfccacfeaacgadacgbcacgcbadacgadadfadaeeadafdadbcfadbfcadbgbadcceadcddadcecadcfbaddcdadddcaddfaadeaeadebdadeccadfadadfbcadfcbadgacadgbbadgcaaeabgaeadeaeaedaeagbaebagaebddaebecaebfbaecafaeccdaecdcaedaeaedbdaedccaedeaaeeadaeebcaeecbaefcaaegabaegbaafabfafaddafagaafbafafbbeafbcdafbdcafbebafbfaafcbdafcdbafceaafdbcafdcbafeacafebbafecaaffbaafgaaagaafagabeagadcagaebagafaagbaeagbbdagbccagbeaagcbcagccbagcdaagdacagdbbagebabaaegbaaffbabefbabfebaccgbacdfbaceebacgcbadbgbadcfbadedbadfcbadgbbaeagbaebfbaecebaeddbaeecbaefbbafafbafbebafdcbafebbagaebagbdbagdbbbadgbbaefbbagdbbbeebbbgcbbcbgbbccfbbcdebbcedbbcgbbbdagbbdddbbdecbbeafbbecdbbeebbbefabbfbdbbfccbbfeabbgadbbgbcbbgcbbbgdabcacgbcadfbcagcbcbbgbcbcfbcbdebcbedbcbfcbcbgbbccagbccbfbccddbccfbbccgabcdbebcddcbcdebbcdfabceaebcebdbceeabcfadbcfbcbcfcbbcfdabcgbbbdabgbdadebdafcbdagbbdbcebdbddbdbecbdbgabdcbebdccdbdcdcbdcebbdcfabddbdbddccbdddbbddeabdedabdfacbdfbbbdgabbdgbabeaagbeaddbeaecbeafbbebbebebcdbebdcbebebbebfabecaebecbdbecccbecdbbedadbedbcbedcbbeddabeebbbefabbefbabegaabfabebfadcbfafabfbaebfbbdbfbdbbfcbcbfccbbfdacbfdcabfeabbfebabgaaebgadbbgaeabgbadbgbbcbgbcbbgbdabgccabgeaacaaefcaafecabcgcabdfcabeecabfdcacbgcaccfcacdecacedcacfccacgbcadagcadcecadddcadeccadfbcaeafcaedccaeebcaefacafcccafdbcafeacagadcagbccbacgcbaeecbafdcbbbgcbbcfcbbedcbbgbcbcbfcbccecbcddcbcgacbdcdcbdebcbdfacbebdcbecccbedbcbfadcbfbccbfcbcbfdacbgbbccabgccacfccadeccagbccbagccbceccbfbccbgacccafccccdcccdccccebcccfaccdbdccdccccddbccdeacceadccebcccecbccedaccfcaccgabccgbacdaagcdabfcdacecdaddcdaeccdagacdbafcdbbecdbcdcdbdccdccccddbccddcbcdebbcdecacdfabcdfbaceacdceaebcebbdcebcccebeacecadcecbcceccbcedbbceebacefaacfaaecfabdcfaeacfbbccfbdacfccacfeaacgabccgadacgbaccgbbbcgbcacgcabcgcbadaacgdaadfdaaeedaafddaagcdabbgdabeddabgbdacbfdaccedacdddacfbdacgadadbedaddcdadebdaebddaeccdaedbdafbcdafcbdagbbdbabgdbadedbaeddbafcdbagbdbbagdbbbfdbcafdbccddbcdcdbcfadbdaedbdbddbdccdbddbdbeaddbebcdbecbdbedadbfacdbfbbdbgbadcaagdcabfdcacedcaecdcafbdcagadcbafdcbbedcbdcdcbebdcdaddcdbcdcddadcecadcfbadcgaaddaafddabeddacdddadcddaebddbaeddbbdddbdbddcadddcbcdddacdddbbddeabddebaddfaadeaaedeabddeadbdebaddebbcdecacdecbbdedbadeeaadfaaddfacbdfbbbdfbcadfcabdfcbadfdaadgabbdgacadgbabdgcaaeaabgeaacfeaadeeaaedeaafceaagbeabageabbfeabddeabeceabfbeabgaeacbeeaccdeacebeacfaeadaeeadbdeadcceaddbeadeaeaedaeafbbeagabebabfebaceebafbebagaebbebebbfaebcaeebcbdebcccebcdbebceaebdadebdcbebddaebebbebfabebgaaecaebecafaecbaeecbbdecbdbeccadecccbecdacecdbbecdcaeceabecebaecfaaedaaeedabdedaccedaeaedbcbedbdaedcacedcbbedccaeddabeddbaedeaaeeaadeeabceeacbeebaceebbbeebcaeedaaefaacefacaefbbafaaddfaaecfaafbfabaffabcdfabdcfabfafacaefacbdfacdbfadadfadcbfagaafbabefbacdfbaebfbafafbbbdfbbdbfbbeafbcbcfbccbfbcdafbdbbfbdcafbeabfcabdfcaccfcadbfcaeafcbadfcbbcfcbdafccacfccbbfcccafcdabfcdbafdabcfdadafdbacfdbbbfdcbafeaacfeabbfeacafebbafecaaffaabfgaaagaaafgaacdgaadcgaaebgaafagabaegabccgabdbgabeagacadgacbcgaccbgacdagadcagaebagbaaegbabdgbaccgbaeagbbadgbbcbgbbdagbccagbdabgbdbagbeaagcaadgcabcgcbacgcbbbgcbcagccabgccbagcdaagdbabgdcaagfaaaaaaggaabgfaacegaacffaacgeaadefaadgdaaecgaaeeeaaegcaafdeaafedaaffcaagbfaagddaagecaagfbaaggaabagfabbffabbgeabcdgabdcgabdgcabebgabecfabedeabegbabfceabffbabfgaabgafabgbeabgcdabgdcabgfaacaegacaffacbefacbfeacbgdacccgaccgcacdcfacddeacdedacdfcacdgbaceagacebfacefbacegaacfafacfbeacfdcacfebacffaacgaeacgbdacgdbadadgadafeadbdfadbeeadbgcadcbgadccfadcedadcfcadcgbaddbfaddceaddecaddfbaddgaadeafadedcadefaadfbdadfccadgadadgdaaeacgaeadfaeafdaebbgaebcfaebedaebgbaecagaecbfaecceaecddaececaecfbaecgaaedafaedbeaeddcaedebaedfaaeeaeaeeeaaefadaefbcaefdaaegacaegcaafadeafaedafafcafagbafbagafbbfafbceafbddafbfbafbgaafcafafccdafcdcafcebafcfaafdaeafdbdafddbafdeaafeadafebcafedaaffacaffbbafgbaagaagagabfagaceagaddagaecagbafagbbeagbcdagcbdagcccagcdbagceaagdadagdbcagddaageacagfabagfbabacgdbadcgbadfdbadgcbaecfbaedebaeedbaefcbaegbbafbfbafecbafgabagafbagbebagcdbagdcbagebbbaegbbaffbbagebbbfebbccgbbcdfbbceebbcfdbbdbgbbdcfbbddebbdedbbdfcbbdgbbbeagbbecebbeddbbeecbbfbebbfebbbffabbgaebbgbdbcaefbcafebcagdbcbdfbcbeebccbgbcccfbccedbccgbbcdagbcdbfbcdcebcdddbcdecbcdfbbceafbcecdbcedcbceebbcefabcfaebcfbdbcfccbcfdbbcfeabcgcbbdacgbdadfbdafdbdagcbdbcfbdbedbdbgbbdcbfbdcecbddafbddcdbdddcbddebbddfabdeccbdeeabdfbcbdgacbdgbbbdgcabeabgbeacfbeadebeaedbeagbbebagbebddbebfbbebgabecbebeccdbecdcbecebbecfabedaebedbdbedccbeddbbedeabeebcbeedabefacbefcabegabbegbabfaagbfacebfaecbfafbbfagabfbafbfbbebfbcdbfbdcbfbebbfbfabfcaebfcbdbfcdbbfceabfdadbfddabfebbbffabbfgaabgaafbgabebgadcbgaebbgafabgbaebgbbdbgbdbbgcadbgcbcbgccbbgcdabgeabbgebacaaegcaaffcabefcabgdcaccgcacdfcaceecacfdcacgccadbgcadcfcaddecadedcadfccadgbcaeagcaebfcaececaeeccaegacafbecafcdcafdccagaecagbdcbadgcbafecbagdcbbcgcbbeecbbfdcbbgccbcbgcbccfcbcdecbcedcbcgbcbdagcbdbfcbdcecbdeccbdfbcbdgacbeafcbebecbedccbeebcbefacbfbdcbfdbcbgbccbgcbcbgdaccaeeccafdccbbgccbcfccbfccccagcccbfcccceccceccccfbcccgaccdafccdbeccdcdccdebccdfacceccccedbcceeaccfbcccfcbccfdaccgbbcdacfcdaedcdafccdagbcdbagcdbbfcdbcecdbddcdbeccdbfbcdbgacdcafcdcbecdccdcdcdccdcebcddaecddbdcddcccddeacdebccdedacdfaccdfbbcdgabcdgbaceabfceaceceaddceafbcebafcebbecebcdcebebcebfacecaececbdceccccecdbceceacedadcedbccedcbceddaceeacceebbcefabcefbacfabecfacdcfadccfbbdcfbeacfcdacfdbbcfdcacfeabcfebacffaacgaaecgbadcgbbccgbdacgccacgdabcgdbacgeaadaadgdaafedaagddabdfdabeedabfddabgcdacbgdaceddacgbdadagdadbfdadcedadecdadfbdadgadaeafdaebedaecddaedcdaeebdafbddafccdafdbdafeadagbcdbadfdbaeedbafddbbbgdbbcfdbbdedbbeddbbfcdbbgbdbcbfdbcecdbcfbdbcgadbdafdbdbedbddcdbdebdbeccdbfcbdbfdadcabgdcadedcafcdcagbdcbagdcbcedcbdddcbecdcbfbdcbgadccafdcccddccebdccfadcdaedcdbddcdccdcddbdcdeadceaddcecbdcedadcfbbdcfcaddaagddabfddaceddafbddagaddbbeddbdcddbebddcbdddcccddcdbddceaddddaddeacddebbddecadeabedeadcdeafadebaedebbddebccdebdbdebeadecaddecbcdeccbdecdadedbbdedcadeeabdfaeadfbaddfbdadfcacdfcbbdfccadgaaddgacbdgcabdgcbadgdaaeaacgeaadfeaaeeeaafdeaagceabdeeabfceacageacceeacfbeadafeadbeeadcdeadebeadfaeaeaeeaebdeaecceafadeafbceafcbeafdaeagacebabgebaedebafcebagbebbbfebbceebbddebbecebbfbebcbeebccdebcdcebcebebcfaebdaeebdbdebdccebdeaebebcebecbebfacebfbbebfcaebgabebgbaecaagecabfecaddecaececafbecagaecbafecbbeecbfaeccaeeccbdeccccecdadecdbcecdcbecddaeceacecebbececaecfabecfbaecgaaedaafedabeedacdedadcedaebedbaeedbbdedbccedcbcedccbedcdaeddaceddbbedeabedfaaeeabdeebadeebbceecaceecbbeeccaeedabeedbaefaadefacbefbacefcabefcbaefdaaegaacegabbegacaegcaafaabgfaacffaadefaaedfaafcfaagbfabbffabddfabecfabgafacaffacbefacfafadaefadbdfadccfaddbfaebcfaecbfafacfafcafagabfagbafbabffbacefbagafbbaffbbcdfbbdcfbbfafbcaefbcbdfbcccfbceafbdadfbdbcfbddafbeacfbecafbfbafcaaffcabefcacdfcadcfcaebfcbaefcbdbfccadfccbcfccdafcebafcfaafdaaefdadbfdaeafdbadfdbcbfdbdafdcbbfddbafdeaafeaadfeadafebacfebbbfecabfecbaffaacffabbffbabffbbaffcaafgabagaabfgaacegaaddgaaecgaagagabbegabdcgabebgacbdgacdbgaceagadadgadcbgaecagafabgafbagbaafgbabegbacdgbadcgbaebgbbaegbbdbgbcadgbcbcgbcdagbdbbgbdcagbeabgcabdgcadbgcbadgccbbgcdabgdabcgdacbgdadagdbacgdbbbgdbcagdcabgddaageabbgeacagebbagfaabggaaaaabggaacgfaadffaadgeaafdfaafeeaafgcaagcfaagedabaggabbfgabcffabddgabdfeabdgdabecgabedfabfcfabffcabfgbabgceabgfbabggaacafgacagfacbegacbffaccdgaccefacdcgacddfacdfdacdgcacebgacecfacefcacegbacfbfacfddacffbacfgaacgafacgdcacgebadaegadaffadageadbdgadbefadbfeadbgdadccgadcdfadddeaddedaddfcadeagadebfadeceadeddadeecadefbadegaadfafadfbeadfcdadfebadffaadgaeadgbdadgeaaeadgaeagdaebdfaebfdaebgcaecbgaeccfaecdeaecfcaecgbaedbfaedceaedecaedgaaeebeaeecdaeedcaeeebaeefaaefaeaefbdaefdbaefeaaegadaegbcaegdaafacgafaeeafafdafagcafbbgafbcfafbedafbgbafcagafcbfafcceafcddafcfbafcgaafdafafdbeafdebafeaeafebdafeccafeeaaffadaffbcaffcbaffdaafgacafgbbafgcaagabgagaedagagbagbagagbceagbecagbfbagbgaagcafagcbeagccdagcdcagcfaagdaeagdccagddbagdeaageadagebcagecbagfacbaaggbabfgbabgfbacegbacffbaecgbaeeebaefdbaegcbafbgbafcfbafgbbagagbagbfbagcebagddbagecbagfbbbagfbbcdgbbcefbbcfebbdcgbbddfbbdeebbdfdbbebgbbecfbbedebbeedbbegbbbfagbbfbfbbfcebbfddbbfecbbfgabbgafbbgbebbgcdbbgdcbcaegbcaffbcagebcbdgbcbefbcbfebcbgdbcccgbcceebccfdbccgcbcdbgbcdcfbcddebcdfcbcebfbcecebceecbcefbbcegabcfdcbcfebbcgaebcgbdbcgccbcgdbbdadgbdaefbdafebdagdbdbcgbdbeebdcbgbdccfbdcedbdcgbbddagbddcebddddbddfbbdecdbdeebbdefabdfaebdfbdbdfccbdfeabdgcbbdgdabeacgbeagcbebcfbecagbecbfbecddbececbecfbbedbebedcdbedebbeeaebeebdbeeccbeedbbefadbefcbbegacbegbbbegcabfacfbfadebfaedbfafcbfagbbfbagbfbbfbfbcebfbddbfbecbfbgabfcafbfcdcbfcebbfcfabfddbbfdeabfebcbffacbfgabbgabfbgacebgaddbgaecbgafbbgagabgbbebgbdcbgbebbgcbdbgcccbgcdbbgceabgdadbgdbcbgdcbbgeacbgebbbgecabgfabcaafgcaagfcabegcabffcabgecacdgcacefcadcgcadeecaedecaeedcaegbcafagcafbfcafddcafeccaffbcafgacagbecagebcagfacbaffcbagecbbdgcbbgdcbcdfcbceecbcfdcbcgccbdbgcbdcfcbdgbcbeagcbebfcbececbeddcbeeccbefbcbfafcbfbecbfcdcbfdccbfebcbffacbgaecbgcccbgdbcbgeaccadgccaefccafeccbdfccbgccccbgccccfcccdecccedcccfccccgbccdagccdecccdfbccdgaccecdccedccceebccfaeccfccccfeaccgadccgbcccgcbccgdacdacgcdafdcdagccdbdecdbedcdbgbcdcagcdcddcdceccdcfbcddafcdddccddfacdeaecdecccdfbccdfcbcdgaccdgbbceabgceacfceadeceagbcebagcebbfcebcecebddcebeccebfbcecbececcdcecdccecebcedaecedbdcedccceddbceeadceecbcefbbcefcacegabcegbacfaagcfabfcfacecfagacfbafcfbebcfbfacfcbdcfcdbcfceacfdadcfdcbcfeaccfecacffabcffbacfgaacgaafcgacdcgadccgaebcgafacgbaecgbcccgbdbcgbeacgcbccgccbcgcdacgdaccgdcacgeabcgebadaaegdaagedabdgdacdfdaceedadbgdadcfdadeddadfcdadgbdaeagdaedddaefbdaegadafbedafcddafdcdafebdaffadagaedagbddagccdageadbadgdbafedbagddbbdfdbbfddbbgcdbcbgdbccfdbcdedbcfcdbdbfdbdcedbdfbdbeafdbebedbedcdbeebdbefadbfccdbfdbdbgaddbgcbdbgdadcacgdcadfdcbbgdcbcfdcbdedccagdccbfdcccedccdddccecdccgadcdafdcdbedcdcddcddcdcdebdceccdcedbdcfaddcfbcdcfcbdcfdadcgacdcgbbdcgcaddacfddadeddaedddafcddagbddbagddbbfddbceddbfbddcafddcbeddccdddcebdddccddddbddebcddecbddedaddfacddfcaddgbadeaagdeacedeadddeaecdeafbdeagadebbedebdcdebfadecaedecccdeceadedbcdeddadeeacdefabdfacddfafadfbbddfbccdfbdbdfbeadfcdadfeabdfebadgaaedgabddgaccdgadbdgaeadgbaddgbbcdgbdadgcacdgcbbdgdabdgdbaeaadgeaaefeaafeeabeeeabfdeabgceaccfeacedeacgbeadageadbfeadceeadeceadfbeadgaeaeafeaebeeaedceaeebeafaeeafdbeagadeagbceagcbeagdaebacgebaeeebafdebagcebbcfebbdeebbedebbfcebcagebcddebcecebcfbebcgaebdafebdbeebdcdebdebebdfaebebdebeeaebfadebfdaebgbbebgcaecabgecacfecadeecafcecbagecbddecbececbfbecbgaeccafeccbeecccdeccdcecdaeecdbdecddbecedaecfacecfbbecfcaecgabecgbaedaagedabfedaddedaecedagaedbafedbbeedbdcedbebedcaeeddadeddbceddcbedeacedecaedfbaedgaaeeabeeeadceeaebeeafaeebaeeebbdeebeaeecadeeccbeecdaeedaceedbbeedcaeeeabeeebaeefaaefaaeefaccefbadefbcbefbdaefdabefdbaefeaaegaadegabcegacbegbbbegbcaegcbaegdaafaacgfaadffaaeefaafdfaagcfabbgfabdefabedfabfcfabgbfaccefacddfacecfadbefaddcfadfafaeaefaebdfaeccfafadfafbcfafdafagacfagcafbabgfbadefbbagfbbbffbbcefbbecfbbgafbcaffbcbefbccdfbcdcfbcebfbcfafbdaefbdeafbeadfbebcfbecbfbedafbgabfbgbafcabffcacefcafbfcbaffcbcdfcbdcfcbfafccaefccbdfccccfcdadfcdbcfcdcbfcddafcfabfcfbafcgaafdabefdafafdbaefdbccfdbdbfdbeafdccbfdcdafddcafdeabfdebafdfaafeabdfeadbfeaeafebbcfebdafecacfeccafedabfedbafeeaaffaadffabcffacbffadaffbacffbbbffbcaffcabffcbafgacafgbabfgbbagaacfgaaedgaafcgaagbgabbfgabddgabfbgacafgacbegaccdgacdcgadaegadccgaddbgadeagaeadgaebcgaedagafcagagabgbaaggbacegbaecgbagagbbafgbbcdgbbdcgbbebgbcaegbcccgbdadgbdbcgbdcbgbddagbeacgbebbgbfabgbfbagbgaagcabegcacdgcadcgcaebgcafagcbaegcbdbgccadgcdacgcdbbgcdcagcebagcfaagdaaegdaccgdaeagdbadgdbbcgdbcbgdbdagdcbbgdccagddabgddbagdeaagebbbgebcagecabgecbagedaagfaacgfabbgfbabgfbbagfcaaaacggaaeegaaeffaaegeaafefaaffeaagdfaaggcabcfgabcgfabdegabdffabdgeabedgabeefabefeabfeeabgbgabgdeabgedabggbacbfgaccegaccffacdfeacdgdacecgacedfacfbgacfdeacfedacffcacfgbacgagacgbfacgceacgddacgecacgfbacggaadagfadbegadbffadbgeadcdgadcefaddcgaddeeaddfdaddgcadebgadecfadeedadefcadfagadfddadfecadgbeadgcdadgdcadgebaeageaebdgaebefaebfeaebgdaecdfaeceeaecgcaededaedgbaeeagaeebfaeeddaeeecaeefbaeegaaefbeaefcdaefdcaefebaeffaaegaeaegbdaegccaegdbafaefafagdafbcgafbeeafbfdafbgcafcbgafccfafcedafcfcafcgbafdddafdecafdfbafdgaafebeafeebafefaaffaeaffccaffdbaffeaafgadafgcbafgdaagacgagadfagaeeagafdagagcagbbgagbcfagbedagcagagcddagcecagcgaagdcdagdebagebdageccagedbageeaagfadagfbcagfcbaggbbaggcabacfgbacgfbadffbadgebaedgbaeefbaegdbafgcbagbgbagcfbagdebagfcbbaggbbbfgbbbgfbbcegbbcffbbddgbbdfebbecgbbedfbbegcbbfbgbbfcfbbfdebbfedbbgagbbgcebbgddbbgecbbgfbbccdgbccefbccfebccgdbcdeebcdfdbcdgcbcedebceedbcefcbcegbbcfagbcfbfbcfcebcfddbcffbbcfgabcgcdbcgdcbcgebbcgfabdaegbdagebdbdgbdbefbdcdfbdceebdcgcbddbgbddcfbddedbddgbbdebfbdecebdeddbdfafbdfbebdfdcbdfebbdgaebdgbdbdgdbbdgeabeadgbeaefbeafebebcgbebdfbebfdbebgcbecbgbeccfbecdebecedbedagbedecbeebebeecdbeedcbeeebbeefabefaebefbdbefccbefdbbefeabegadbegbcbegcbbegdabfacgbfadfbfafdbfagcbfbbgbfbdebfbedbfbfcbfbgbbfcbfbfcfbbfcgabfdafbfdbebfdcdbfddcbfdfabfeaebfebdbfeccbfeeabffadbffcbbfgbbbfgcabgabgbgacfbgaedbgagbbgbagbgbbfbgbcebgbddbgbecbgbfbbgbgabgcafbgcbebgccdbgcebbgdaebgdbdbgdccbgddbbgdeabgebcbgecbbgedabgfacbgfbbcabfgcacffcacgecaecgcaeeecaefdcafcfcafdecafedcaffccafgbcagagcagddcageccagfbcaggacbbegcbbgecbcefcbcfecbcgdcbdcgcbddfcbdfdcbdgccbecfcbeedcbegbcbfagcbfbfcbfddcbfeccbffbcbgafcbgbecbgdccbgfaccaegccaffccageccbdgccbefccbgdccccgccceecccfdcccgcccdbgccddeccdedccdfcccececceddcceecccegaccfafccfbeccfcdccfdcccfebccffaccgaeccgdbccgeacdadgcdafecdbgccdcbgcdccfcdcdecdcedcdcfccddagcddbfcddcecddddcddeccddfbcddgacdeafcdebecdecdcdeebcdefacdfaecdfcccdfdbcdfeacdgbccdgdaceacgceadfceafdceagccebbgcebcfcebdecebedcebfccebgbcecbfcecddcececcecfbcecgaceddccedebceeaeceecccefbccefcbcefdacegaccegbbcegcacfabgcfadecfagbcfbagcfbcecfbddcfbeccfbfbcfcafcfcbecfccdcfcebcfcfacfdaecfdcccfddbcfdeacfebccfecbcfedacffaccffbbcffcacfgabcfgbacgaagcgabfcgaeccgafbcgagacgbafcgbcdcgbdccgbebcgbfacgcaecgcbdcgccccgcdbcgceacgdcbcgeaccgfabcgfbadaafgdaagfdabegdacfedacgddadcgdaddfdadfddadgcdaecfdaededaeeddaefcdaegbdafagdaffbdafgadagafdagbedagdcdagebdagfadbaegdbaffdbagedbbdgdbbfedbbgddbcdfdbcfddbcgcdbddedbdeddbdfcdbeagdbecedbedddbegadbfbedbfdcdbffadbgaedbgccdbgdbdcaefdcafedcbcgdcbeedcbfddcbgcdcccfdccfcdccgbdcdagdcdbfdcdcedcddddcdecdcdfbdcdgadcecddcedcdceebdcefadcfaedcfbddcfeadcgaddcgbcdcgcbdcgdaddacgddadfddafdddagcddbbgddbcfddbdeddbedddcbfddcceddcddddcecddcfbdddbeddddcdddebdddfaddeaeddebdddeccddeeaddfcbddgacddgbbddgcadeabgdeadedeaeddeafcdebagdebcedebdddebfbdebgadecafdeccddecdcdecebdecfadedaededccdedeadeeaddeebcdeedadefacdefbbdefcadegabdegbadfaagdfabfdfadddfbafdfbbedfbcddfbfadfcaedfcbddfcccdfceadfdaddfdbcdfdcbdfddadfeacdfebbdfecadffabdfgaadgabedgacddgadcdgaebdgbbddgbeadgcaddgcbcdgccbdgdacdgdcadgeabdgebadgfaaeaaffeaageeabdgeabfeeabgdeaccgeacdfeaceeeacfdeacgceadbgeadcfeaddeeadedeadgbeaeceeaeddeaeeceaefbeaegaeafafeafbeeafcdeafdceaffaeagaeeagbdeagcceagdbebaefebbfdebcbgebcedebcfcebcgbebdagebdbfebdceebdddebdfbebeafebebeebefaebfbdebfccebfdbebfeaebgadebgbcebgcbecacgecadfecaeeecbcfecbdeecbedecbfcecbgbeccageccbfeccddeccececcfbeccgaecdbeecdcdecdebecdfaeceaeecedbecfbcecgbbecgcaedabgedacfedadeedaededafcedagbedbceedbddedbgaedcafedcfaeddbdeddcceddeaedeadedebcedecbedfbbedfcaedgbaeeaageeabfeeaceeeaeceeafbeeagaeebafeebbeeebcdeebdceebebeecaeeecbdeeccceecdbeeceaeedadeedbceedcbeeddaeeeaceeebbeefabeefbaeegaaefaafefabeefadcefafaefbbdefbccefbdbefbeaefcadefcbcefcdaefebaegaaeegabdegadbegbbcegbdaegcacegcbbegccaegdabegdbaegeaafaadgfaaeffaagdfabcgfabdffabeefabfdfaccffacdefacedfacgbfadagfadbffadcefadddfadfbfadgafaecdfaeebfafaefafbdfafccfafeafagadfagbcfagcbfagdafbafdfbbcffbbdefbbedfbbfcfbcagfbccefbcddfbcecfbcgafbdbefbdcdfbddcfbdebfbdfafbeccfbedbfbeeafbfcbfbfdafbgbbfbgcafcabgfcadefcagbfcbcefcbfbfccaffccbefccdcfccebfcdbdfcddbfceadfcebcfcfacfcfbbfcfcafcgbafdaagfdabffdacefdaddfdafbfdagafdbbefdbdcfdbebfdbfafdcaefdcdbfddadfddcbfdeacfdfbafdgaafeabefeacdfeadcfebaefebdbfebeafecadfecbcfeccbfecdafedacfedbbfedcafeeabfeebaffaaeffaccffadbffaeaffbadffbbcffcacffcbbffccaffdabffdbaffeaafgabcfgacbfgadafgbacfgbcafgcabgaacggaadfgaaeegaafdgaagcgabbggabcfgabgbgacaggaccegacecgadafgadbegadcdgaddcgadfagaebdgaeccgaedbgaeeagafadgafcbgafdagagacgagbbgbabggbacfgbaedgbafcgbbddgbbecgbbfbgbbgagbcafgbccdgbcfagbdaegbdbdgbddbgbdeagbebcgbecbgbedagbgabgbgbagcaaggcabfgcacegcaddgcaecgcagagcbafgcbcdgcbdcgcbfagccaegccccgcceagcdadgcdbcgcdcbgcddagceacgcebbgcfabgcfbagcgaagdabegdacdgdadcgdaebgdafagdbaegdbbdgdbdbgdbeagdcadgdcbcgdcdagdeabgdebagdfaageaaegeabdgeaccgeadbgeaeagebcbgecacgecbbgeccagedabgeeaagfabcgfadagfbbbgfcbagfdaaggaacggabbggacaggbabggcaaaaefgaagdgaagefabcggabdfgabeegabegeabfdgabfefabfgdabgdfabgeeabgfdabggcacbggaccgfacdegacdffacdgeacedgacegdacfcgacfeeacgbgacgedacgfcacggbadbfgadbgfadcegadcgeadddgadecgadedfadeeeadefdadegcadfcfadfdeadfedadffcadfgbadgbfadgddadgecadgfbaeafgaeagfaebegaecdgaecefaecgdaedcgaeddfaedgcaeebgaefagaefceaefddaefecaeffbaefgaaegbeaegcdaegdcaegebaegfaafaegafaffafageafbfeafccgafcdfafceeafcfdafdbgafdcfafddeafdedafdfcafdgbafebfafeddafegaaffbeaffcdafgccafgeaagadgagaefagafeagbcgagbeeagbfdagbgcagcbgagccfagcdeagcfcagdceagdddagdecagdfbageafagebeagecdagedcagefaagfaeagfbdagfccagfdbagfeaaggadaggcbaggdabacggbaeegbafdgbaffebagdfbageebagfdbaggcbbbggbbcfgbbcgfbbdgebbedgbbefebbfdfbbfeebbgcfbbgedbbggbbcbfgbccegbccffbcdefbcdfebceeebcefdbcfbgbcfcfbcfedbcfgbbcgddbcgfbbdbegbdbffbdbgebdcefbdcfebdddfbddeebddgcbdecfbdedebdefcbdegbbdfagbdfbfbdfcebdfddbdfecbdffbbdgbebdgdcbdgebbdgfabeaegbeaffbeagebebfebebgdbeccgbeceebecfdbecgcbedbgbedcfbedgbbeeagbeebfbeecebeeddbeefbbeegabefbebefdcbefebbeffabegaebegbdbegccbegdbbegeabfagdbfbcgbfbeebfbfdbfcbgbfcdebfcgbbfdagbfdbfbfdcebfdecbfdfbbfeafbfebebfecdbfedcbfeebbfefabffdbbfgadbfgdabgacgbgadfbgaeebgagcbgbbgbgbdebgbedbgbgbbgcbfbgccebgcddbgcecbgcfbbgcgabgdafbgdbebgdebbgdfabgeaebgeeabggacbggbbbggcacabggcacfgcacgfcadegcadffcaedgcaeefcaegdcafdfcaffdcafgccagbgcagcfcagdecagedcagfccaggbcbaggcbbfgcbbgfcbcffcbcgecbddgcbdefcbecgcbedfcbeeecbegccbfedcbffccbfgbcbgagcbgddcbgeccbgfbccafgccbegcccdgcccefccddfccdeeccdgcccebgccecfccedeccegbccfagccfbfccfceccfddccgafccgcdcdaegcdaffcdagecdbdgcdbefcdbfecdccgcdcdfcdceecdcgccddcfcdddecddedcddgbcdebfcdececdeddcdeeccdefbcdfbecdfcdcdfdccdgaecdgcccdgdbceadgceaefceagdcebeecebgccecbgceccfcecedcecgbcedagcedcecedddcedecceeafceecdceedcceefacefbdcefcccefdbcegadcegcbcegdacfadfcfaeecfagccfbbgcfbcfcfbfccfbgbcfcbfcfccecfcddcfceccfdafcfdbecfdcdcfddccfdebcfebdcfecccfeeacffadcffbccffcbcffdacfgaccfgcacgacfcgaedcgafccgagbcgbcecgbddcgbfbcgccdcgcdccgcebcgcfacgdaecgdbdcgdcccgddbcgdeacgeadcgebccgecbcgedacgfbbcgfcacggabcggbadabfgdabgfdacegdacffdaddgdaeeedaegcdafbgdafeddaffcdafgbdagagdagbfdagecdaggadbagfdbbegdbbffdbbgedbcdgdbcefdbcfedbcgddbdcgdbddfdbdeedbdfddbdgcdbebgdbededbeeddbegbdbfagdbfbfdbfdddbfecdbfgadbgafdbgcddbgdcdbgebdbgfadcaegdcagedcccgdccdfdcceedccfddcdcfdcddedcdeddcdfcdcdgbdcebfdcecedcefbdcfafdcfbedcfdcdcfebdcffadcgaedcgbddcgeaddaefddafeddagdddbdfddbeeddbfdddcbgddccfddcdeddceddddagddddddddecdddfbdddgaddecdddedcddeebddefaddfaeddfbdddfdbddfeaddgcbddgdadeacgdeadfdeafddebbgdebcfdebdedebeddebfcdebgbdecbfdeccedececdecfbdecgadedafdedbededcddedebdeeaedeeccdeedbdeeeadefaddefbcdefcbdefdadegacdegbbdegcadfabgdfadedfaeddfafcdfagbdfbagdfbdddfbecdfbfbdfcafdfcbedfccddfcdcdfcebdfdbddfdccdfddbdfeaddfebcdfecbdfedadffacdffbbdffcadgabfdgaecdgafbdgagadgbafdgbbedgbcddgbebdgbfadgcaedgcbddgcdbdgceadgdaddgdbcdgdcbdgddadgeacdgecadgfbadggaaeabgeeacdgeacefeacfeeacgdeadfdeadgceaebgeaecfeaedeeaeedeaefceafageafddeafeceaffbeafgaeagafeagbeeagcdeagdceagebeagfaebbdgebbfeebbgdebccgebceeebcfdebcgcebdcfebddeebdfcebdgbebeagebeceebeddebeecebefbebegaebfcdebfebebgaeebgbdebgccebgdbecadgecaefecafeecagdecbcgecbdfecbeeecbfdecbgceccbgecccfeccdeeccedecdbfecdceecdececdfbeceafecebeececdeceebecfaeecfccecfeaecgadecgcbecgdaedacgedagcedbbgedbcfedbdeedbfcedbgbedcbfedcceedcddedcecedcfbeddbeedddcedeaeedeccededbedeeaedfadedfbceeabgeeacfeeadeeeafceeagbeebageebbfeebddeebeceebfbeebgaeecbeeeccdeecdceecebeecfaeedbdeeddbeeeadeeebceeecbeeedaeefaceefbbeefcaeegabefabfefaddefaecefbbeefbcdefbdcefbfaefcaeefcbdefcccefcdbefdadefdbcefdcbefeacefebbeffabefgaaegaafegadcegbaeegbccegbeaegcadegccbegdbbegdcaegeabegebaegfaafabdgfabeffabfefaccgfacdffaceefacgcfadbgfadcffadedfadfcfadgbfaebffaeddfaeecfaefbfafaffafcdfafdcfafebfagaefagbdfagdbfbadgfbaeffbagdfbbgcfbcbgfbccffbcdefbcedfbcfcfbdagfbdbffbdddfbdecfbdgafbecdfbeebfbefafbfaefbfccfbfdbfbgadfbgbcfbgcbfcacgfcadffcaeefcafdfcbbgfcbcffcbdefcbgbfccbffcccefccddfccecfccfbfcdaffcdbefcdcdfcddcfceaefcebdfceccfcedbfceeafcfadfcfdafcgacfcgcafdadefdafcfdagbfdbbffdbecfdbfbfdcaffdccdfdcfafddaefddbdfdddbfdebcfdecbfdedafdfacfdfbbfdfcafdgabfdgbafeaagfeabffeacefeaddfeaecfeagafebaffebcdfebdcfebebfecaefecccfecdbfeceafedadfedbcfeddafeebbfeecaffaafffabeffaebffafaffbaeffbbdffbccffbeaffcadffccbffcdaffdacffdbbffeabffebafffaafgaaefgadbfgbadfgbbcfgbcbfgbdafgcacfgcbbfgccafgeaagaadggaafegabdfgabeegabfdgaccfgacedgacfcgadaggadcegadddgadecgadfbgadgagaebegaecdgaedcgaefagafccgafdbgafeagagbcgagcbgagdagbacggbadfgbaeegbagcgbbcfgbbdegbbedgbbfcgbbgbgbcaggbcbfgbccegbcddgbcecgbcfbgbcgagbdafgbdcdgbddcgbdebgbdfagbebdgbedbgbeeagbfadgbfcbgbgacgbgbbgbgcagcabggcacfgcadegcafcgcbaggcbcegcbddgcbecgcbfbgccafgccebgcdaegcdbdgcdccgcddbgceadgcebcgcedagcfcagcgbagdabfgdacegdaddgdaecgdagagdbafgdbcdgdbdcgdbebgdbfagdcccgdceagddadgddcbgdddagdebbgdfabgdfbagdgaageaafgeabegeacdgeadcgebaegebccgebeagecadgecbcgeccbgecdagedacgedbbgfaaegfabdgfadbgfbadgfbbcgfbdagfcacgfcbbgfccagfdabgfeaaggaadggadaggbacggbbbggcabggcbaaaeggaaffgaafgfaagegaagffaaggeabdggabegfabfffabfgeabgfeabggdaccggacdfgacdgfaceffacfdgacfgdacgdfacgfdacggcadbggaddegaddffadeefadefeadegdadfeeadffdadgcfadgdeadgedaeaggaebgfaecegaecffaedfeaedgdaeecgaeefdaeegcaefbgaefdeaefedaeffcaegbfaegecaegfbafagfafbffafbgeafcefafcfeafdcgafddfafdgcafebgafecfafeedafegbaffagaffbfaffceaffddaffgaafgafafgdcagaffagageagbdgagbefagbfeagccgagcdfagceeagcgcagdbgagddeagdedagdgbageagagebfageddageecagfcdagfebagffaaggaeaggbdaggccbaegfbafegbafffbagdgbagefbaggdbbcggbbdfgbbdgfbbeffbbegebbfdgbbgcgbbgeebcbggbccgfbcdegbcdffbcdgebcedgbceefbcefebcfeebcgdebcgfcbdaggbdbfgbdbgfbdcegbdcffbdcgebdddgbddefbdecgbdedfbdefdbdegcbdfbgbdfcfbdfdebdfedbdgbfbdgcebdgddbdgecbdgfbbdggabeagfbebegbebffbebgebecdgbecefbecfebecgdbeddfbeebgbeecfbeedebeeedbeefcbeegbbefbfbefcebefddbefecbegafbegbebegebbfagebfbdgbfbfebfccgbfcdfbfdbgbfdcfbfddebfdfcbfdgbbfeagbfebfbfecebfegabfffabfgdbbfgeabgadgbgagdbgbcgbgbeebgbgcbgcbgbgccfbgcdebgcedbgcfcbgcgbbgdbfbgdddbgdfbbgebebgecdbgedcbgefabgfbdbgfccbgfdbbggadbggcbcacggcaeegcaeffcafdgcafefcaffecagcgcageecagfdcbcgfcbdgecbedgcbegdcbfcgcbgcfcbgedcbgfcccaggccbfgcccgeccddgccdgdccedfcceeeccefdccegcccfedccffcccfgbccgagccgceccgddccgfbccggacdafgcdagfcdbegcdbgecdcdgcdcfecdcgdcddcgcdddfcddfdcddgccdedecdeedcdfagcdfbfcdfddcdfgacdgbecdgcdcdgebcdgfaceaegcebdgcebefcebgdceccgcecdfceceecedbgcedgbceeagceebfceececeeddceefbceegacefafcefcdcegbdcfaefcfagdcfbcgcfbdfcfbeecfbgccfcbgcfccfcfcfccfcgbcfdagcfdbfcfdcecfdeccfdfbcfdgacfeafcfebecfecdcfedccfeebcfefacffaecffbdcffdbcffeacfgadcfgbccfgcbcfgdacgacgcgadfcgafdcgagccgbbgcgbcfcgbdecgbgbcgcagcgccecgcddcgdafcgdbecgdebcgdfacgeaecgebdcgecccgedbcgfadcgfbccgfcbcgfdacggbbcggcadabggdacfgdacgfdadegdadffdaedgdaeefdaefedafcgdafdfdafgcdagbgdagcfdagdedagfcdaggbdbbfgdbbgfdbcffdbcgedbddgdbdefdbdfedbdgddbefddbfbgdbfcfdbfdedbfeddbffcdbfgbdbgbfdbgcedbgdddbgecdbgfbdcagfdcbegdcbffdcbgedccefdccgddcdcgdcddfdcdfddcdgcdcebgdceeddcefcdcegbdcfagdcfbfdcfcedcffbdcfgadcgafdcgcddcgebddaffddbdgddbefddbfeddbgdddccgddcdfddcfdddcgcdddcfddddedddgbddeagddeceddeddddefbddegaddfafddfbeddfcdddfdcddfebddffaddgaeddgccddgdbddgeadeadgdeaefdeafedebcgdebgcdeccfdedbfdedcededdddedecdedfbdedgadeeafdeecddeeebdeefadefccdefdbdegaddegbcdfacgdfadfdfaeedfafddfbbgdfbcfdfbdedfbfcdfbgbdfcagdfcbfdfcdddfcecdfcfbdfcgadfdafdfdbedfdcddfddcdfdfadfeeadffaddffbcdfgacdfgbbdfgcadgacfdgadedgafcdgbbfdgbcedgbecdgbfbdgbgadgcafdgcbedgccddgcdcdgdaedgdbddgdccdgddbdgdeadgeaddgebcdgecbdgedadgfacdgfcaeabgfeacegeacffeacgeeadfeeadgdeaecgeaeeeeaefdeaegceafbgeafcfeafdeeafedeaffceafgbeagceeagfbebafgebbegebbgeebcdgebcfeebcgdebddfebdeeebdfdebdgcebebgebecfebedeebeedebegbebfagebfbfebfceebfddebfecebfgaebgafebgcdebgdcebgebecaegecaffecageecbdgecbefecbfeecbgdecccgecceeeccfdeccgcecdbgecddeecdfceceagecebfecegaecfafecfbeecfcdecfebecffaecgaeecgbdecgccedadgedaefedafeedagdedbcgedbdfedbfdedbgcedcgbeddageddceedeebedefaedfaeedfbdedfccedfdbedgadedgbcedgcbedgdaeeacgeeadfeebdeeebgbeecceeececeecgaeedafeedbeeedcdeeddceedebeedfaeeeaeeeecceeedbeeeeaeefbceefdaeegbbefacfefaedefafcefagbefbbfefbceefbecefbfbefbgaefcafefcbeefccdefcfaefdbdefddbeffbbegabfegaceegaddegaecegbbeegbdcegbebegbfaegcaeegcbdegcccegddaegeacegebbegfbaeggaafaafgfaagffabegfabfffabgefacfefacgdfadcgfaddffadeefadfdfaebgfaecffaedefaeedfaefcfaegbfafagfafbffafcefafddfafgafagaffagbefagcdfagdcfagebfagfafbaegfbagefbbdgfbbeffbbfefbbgdfbcdffbceefbcgcfbdbgfbdcffbddefbdedfbdgbfbeagfbebffbecefbeddfbeecfbefbfbegafbfaffbfcdfbfdcfbfebfbffafbgaefbgccfcadgfcaeffcbcgfcbdffcbeefcbfdfcbgcfcccffccedfccfcfcdbffcdecfcdgafcebefcecdfcedcfcefafcfbdfcfdbfcfeafcgbcfcgcbfcgdafdadffdafdfdagcfdbbgfdbcffdbdefdbedfdbfcfdbgbfdcagfdcddfdcecfdcfbfdcgafddaffddbefdddcfddebfdebdfdeccfdedbfdfbcfdfcbfdgacfdgbbfdgcafeabgfeacffeaedfeafcfeagbfebagfebbffebcefebfbfecbefecdcfecfafedaefedbdfedccfeddbfedeafeeadfeebcfeecbfefcafegabfegbaffabfffafbffbafffbbeffbcdffbdcffbebffcaeffcccffcdbffceaffdadffdbcffdcbffecafffabfffbaffgaafgaaffgabefgadcfgaebfgbaefgbccfgbeafgcadfgcdafgdacfgdbbfgeabfgfaagaaffgaagegabdggabefgabfegabgdgadcfgaddegadedgadfcgaeaggaebfgaecegaeddgaefbgafafgafbegafebgaffagagbdgagdbgageagbafegbagdgbbdfgbbfdgbbgcgbcbggbcdegbcedgbcfcgbcgbgbdaggbdbfgbdcegbdddgbdfbgbdgagbebegbecdgbefagbfaegbfbdgbfdbgbgadgbgdagcacggcadfgcaeegcafdgcagcgcbcfgcbedgcbfcgcbgbgccbfgccddgccecgccgagcdafgcdbegcdcdgcddcgcdebgcdfagceaegcebdgceccgcedbgcfadgcfcbgcfdagcgacgcgbbgdabggdacfgdadegdafcgdagbgdbaggdbddgdbecgdbgagdcafgdcbegdccdgdcdcgddaegddccgdddbgddeagdecbgdedagdfacgdfcagdgabgdgbageacegeaddgeafbgeagagebcdgebdcgecbdgecccgecdbgedadgedbcgedcbgeddageeacgeebbgeecagefbagegaagfaafgfabegfacdgfaebgfbaegfbbdgfbdbgfbeagfcadgfdacgfdbbgfdcagfeabgfebagffaaggaaeggaccggaeaggbbcggbcbggcbbggccaggdabggdbaaafggaagfgabeggabfgfacdggacegfacfegacfffacfgeacgefacggdadcggaddfgaddgfadeegadegeadffeadfgdadgcgaebggaecfgaedegaedffaeedgaefcgaefdfaefeeaeffdaegbgaegcfaeggbafaggafbfgafbgfafcegafcffafddgafdfeafecgafeeeafefdafegcaffbgaffcfaffdeaffedafffcafgagafgbfafgceafgecafgfbafggaagafgagagfagbffagbgeagcdgagcefagcfeagcgdagdcgagdfdagebgagedeageedagegbagfagagfbfagfddagfecagffbagfgaaggafaggbeaggcdaggebaggfabaeggbaffgbagffbaggebbefgbbegfbbfegbbfffbbgdgbbgefbbggdbcdgfbceegbceffbcfdgbcffebcfgdbcgdfbcgeebcgfdbcggcbdcfgbdcgfbddgebdefebdfcgbdfdfbdfeebdffdbdfgcbdgbgbdgcfbdgdebdgedbdgfcbdggbbeaggbebfgbecegbecffbecgebeddgbedefbedgdbeecgbeedfbeeeebeegcbefbgbefcfbefdebeffcbegagbegcebfagfbfbegbfbffbfbgebfcdgbfcefbfcfebfddfbfdeebfdfdbfecfbfedebfefcbffbfbffcebfffbbffgabfgafbfgbebfgcdbfgdcbfgebbgaegbgaffbgagebgbdgbgbefbgbgdbgccgbgcdfbgcgcbgddebgdfcbgdgbbgebfbgeecbgefbbgegabgfafbgfdcbgfebbgffabggaebggbdbggccbggdbcaefgcaegfcafegcafffcafgecagefcagfecaggdcbdgfcbeffcbfefcbffecbfgdcbgcgcbgdfcbgeecbggcccbggcccfgcccgfccdegccdffccdgeccedgcceefccegdccffdccgbgccgdeccgfcccggbcdbfgcdbgfcdcffcdcgecddefcddfecddgdcdefdcdegccdfbgcdfcfcdfdecdfedcdgagcdgbfcdgcecdgddcdgeccdgfbceagfcebegcebffcecdgcecefcecfececgdceddfcedeecedgcceebgceedeceeedceefcceegbcefagcefbfcefddceffbcegafcegcdcegdccegfacfaegcfaffcfagecfbdgcfbefcfbfecfbgdcfccgcfcgccfdcfcfdedcfdfccfdgbcfeagcfeddcfeeccfefbcffafcffbecffcdcffdccffebcfgaecfgcccgadgcgafecgagdcgbcgcgbdfcgbeecgbgccgccfcgcedcgcfccgdcecgdddcgdeccgdgacgeafcgebecgecdcgedccgeebcgefacgfbdcgfcccggbccggcbdadfgdaeegdaeffdafdgdafefdaffedafgddagdfdageedagfddaggcdbbggdbcfgdbdffdbedgdbeefdbfcgdbfdfdbffddbfgcdbgbgdbgdedbgeddbgfcdbggbdcaggdcbfgdccegdccffdccgedcdfedcdgddcecgdcedfdcfbgdcfdedcfeddcffcdcgagdcgcedcgfbdcggaddagfddbegddbgeddcefddcfedddcgdddeeddededdefcddfceddfddddffbddfgaddgafddgbeddgcdddgdcddgebddgfadeaffdeagedebdgdebefdebfedebgddeceedecfddecgcdedbgdedcfdeddededgbdeeecdeefbdeegadefafdefcddefebdeffadegccdegdbdegeadfadgdfaefdfafedfbcgdfbfddfcbgdfccfdfcfcdfcgbdfdagdfdbfdfddddfdfbdfdgadfeafdfebedfecddfedcdfeebdfefadffccdffdbdffeadfgaddfgcbdfgdadgacgdgadfdgaeedgafddgagcdgbdedgbeddgbgbdgcagdgccedgcdddgcfbdgdafdgdbedgddcdgdebdgdfadgeaedgebddgeccdgeeadgfaddgfbcdggacdggbbeabggeacgfeadegeadgeeaedgeaeefeaefeeafcgeafdfeafeeeafgceagbgeagcfebaggebbgfebcegebcffebcgeebddgebdefebdfeebdgdebecgebedfebfcfebfedebffcebgceebgddebggaecbffeccfeeccgdecdcgecddfecdeeecdgcecebgececfeceedecfagecfbfecfddecffbecgafecgdcecgebecgfaedaegedaffedageedbefedbfeedbgdedccgedcdfedceeedcfdeddbgedddeeddededdfceddgbedebfedeceededdedeecedefbedegaedfafedfbeedfcdedfdcedfebedffaedgaeedgbdedgccedgdbeeadgeeaefeeafeeeagdeebcgeebfdeebgceeccfeecfceecgbeedageedbfeedceeedddeedgaeeebeeeecdeeedceeeebeefaeeefbdeefcceefdbeegadeegbceegdaefacgefbdeefbedefbfcefbgbefcagefcbfefcceefcddefcecefcfbefdafefdbeefdcdefdfaefeaeefebdefeccefedbefeeaeffbceffcbegacfegafcegbagegbbfegbceegbfbegbgaegcafegccdegcdcegcebegcfaegdaeegddbegeadegebcegecbegfacegfbbfabfgfabgffacfffacgefadeffadgdfaecgfaedffaeeefaefdfaegcfafbgfafcffafdefafedfaffcfafgbfagagfagbffagcefagddfagfbfaggafbafgfbagffbbfffbcdgfbceffbcgdfbddffbdeefbdfdfbecffbedefbegbfbfagfbfcefbfddfbfecfbffbfbfgafbgaffbgdcfbgebfbgfafcaegfcafffcagefcbeffcbfefcbgdfcccgfccdffcceefccfdfccgcfcdbgfcddefcdedfcdfcfcdgbfceagfcecefceecfcefbfcegafcfaffcfcdfcfebfcffafcgaefcgccfcgdbfcgeafdadgfdafefdagdfdbcgfdbgcfdcbgfdccffdcedfdcgbfddagfddbffddcefddddfddfbfdebefdecdfdfaefdfbdfdfccfdgadfdgbcfeacgfeadffeaeefeafdfeagcfebbgfebedfebfcfecagfecbffececfecgafedaffedbefedcdfeddcfedebfefbcfefdafegacfegbbfegcaffacfffadeffaedffafcffagbffbceffbddffbfbffcafffcbeffcebffdaeffdbdffdccffddbfffacfffbbfffcaffgbafgaagfgacefgaddfgaecfgagafgbaffgbbefgbcdfgbdcfgcbdfgcdbfgceafgdadfgdbcfgdcbfgeacfgecafgfabgaagfgabffgacdggacefgacfegacgdgadcggaddfgadeegaebggaedegafbfgafcegafddgaffbgagbegagcdgagebgbaffgbbfegbbgdgbccggbcdfgbcfdgbdcfgbdedgbdgbgbeaggbebfgbeddgbeecgbefbgbfafgbfbegbfcdgbfdcgbgbdgbgccgbgdbgcadggcaefgcafegcagdgcbcggcbeegcbfdgcbgcgccbggcccfgccdegccgbgcdcegcdfbgcdgagceafgcebegcecdgcedcgcefagcfbdgcfccgcgadgcgbcgcgcbgdacggdadfgdaeegdagcgdbbggdbdegdbedgdbfcgdcaggdcbfgdccegdcddgdcfbgdcgagddcdgddebgddfagdeaegdedbgdeeagdfdagdgacgdgbbgdgcageabggeacfgeadegeafcgeagbgebbfgebcegebddgebecgebfbgebgagecbegeccdgecebgedbdgedccgeeadgeebcgeedagefacgefbbgefcagegabgfaaggfabfgfacegfaddgfagagfbbegfbcdgfcbdgfceagfdadgfdbcgfeacgffabgffbagfgaaggaafggacdggafaggbaeggbbdggbdbggbeaggcadggcbcggccbggcdaggdacggdbbggdcaggebaggfaaabfggabgfgabggfaceggacffgacggeaddggadefgadegfadfegadfgeadgdgadgefadgfeadggdaecggaedfgaedgfaefdgaefefaeffeaegdfaegeeaegfdaeggcafcgfafdegafdffafdgeafefeafegdaffdfaffeeafffdafgbgafgedafgfcagaggagbfgagbgfagcegagcffagddgagdefagdgdagecgagedfagegcagfbgagfcfagfedagffcagfgbaggbfaggceaggfbagggabafggbaggfbbeggbbffgbbfgfbbgegbcefgbcfegbcfffbcfgebcgdgbcgefbcgfebdcggbddfgbddgfbdeegbdeffbdegebdfdgbdffebdfgdbdgcgbdgdfbdgeebdgfdbdggcbebggbedgebeedgbeeefbeefebeegdbefcgbefdfbeffdbegcfbegfcbeggbbfaggbfbfgbfbgfbfcegbfcffbfdefbfdfebfdgdbfecgbfedfbfeeebfefdbfegcbffbgbffdebffgbbfgagbfgbfbfgcebfgddbfgecbfggabgafgbgbegbgbffbgbgebgcefbgcfebgddfbgdeebgebgbgecfbgedebgeedbgefcbgfagbgfbfbgfcebgfddbgfecbggafbggbebggcdbggdcbggebbggfacaeggcafgfcagegcaggecbdggcbegfcbfegcbfgecbgdgcbgefcbgfecccggccdfgcceffccfdgccfefccffeccfgdccgcgccgdfccgeeccgfdccggccdbggcdcfgcdcgfcddegcddgecdeefcdefecdfcgcdfdfcdfeecdffdcdgcfcdgdecdgedcdggbceaggcebfgcebgfcecgecedgdceecgceedfceeeeceefdcefcfcefdecefedcefgbcegagcegbfcegddcegeccfagfcfbegcfcfecfcgdcfdcgcfdeecfdfdcfebgcfecfcfedecfeedcfefccfegbcffagcffbfcffddcffeccfffbcffgacfgcdcfgebcgaegcgaffcgagecgbfecgbgdcgccgcgcdfcgcfdcgdbgcgdcfcgddecgdedcgdfccgebfcgececgeeccgfafcgfbecgfcdcgfdccgfebcgffacggaecggcccggdbcggeadaegfdafegdafgedagdgdagfedbdfgdbdgfdbeegdbeffdbegedbfgddbgcgdbgeedccfgdcdegdcdgedcedgdceefdcefedcfcgdcfgcdcgbgdcgcfddaggddcegddcffddcgedddfeddedfddfbgddfcfddfdeddfedddgagddgbfddgddddgfbddggadebegdebffdecdgdecefdeddfdedeededfddeecfdeededeeeddeefcdefbfdefcedefdddefgadegbedegdcdegebdegfadfaegdfaffdfbdgdfbfedfbgddfccgdfcdfdfceedfcfddfdcfdfddedfdfcdfdgbdfeagdfebfdfecedffafdffcddffdcdffebdfffadfgaedfgbddfgccdfgdbdfgeadgaefdgafedgagddgbcgdgbdfdgbfddgbgcdgcbgdgccfdgceddgcfcdgcgbdgdecdgdfbdgdgadgebedgecddgedcdgeebdgefadgfaedgfccdgfdbdggaddggbcdggcbdggdaeacggeadfgeadgfeaeegeaeffeaegeeaffeeafgdeagcgeagdfebbggebcgfebdegebdgeebedgebeefebefeebegdebfcgebfdfebffdebgdeebgedebgfcecaggecbfgecbgfeccffecddgecdefecdgdececgecegcecfbgecfcfecfdeecfedecfgbecgagecgbfecgddedafgedbegedbffedbgeedcdgedcefedcfeeddcgeddeeeddfdeddgcedecfedeededefcedegbedfbfedfceedfddedffbedfgaedgafedgbeedgcdedgdcedgebedgfaeeaffeebefeebfeeebgdeeccgeecdfeeceeeedbgeedcfeededeedfceeeageeeceeeeddeeefbeeegaeefbeeefcdeefdceefebeeffaeegaeeegcceegdbeegeaefaefefafeefbeeefbfdefccfefcdeefcedefcgbefdagefdbfefdceefdddefdfbefdgaefebeefedcefeebefefaeffaeeffcceffeaefgadefgbcegadfegaeeegafdegbbgegbcfegbedegbfcegcagegcceegcddegcecegcfbegdafegdebegebdegeccegedbegeeaegfadegfbceggaceggcafacfgfadegfaeeffafdffaffdfagbgfagcffagdefagedfagfcfbbfgfbcfffbddgfbdeffbdfefbdgdfbedffbeeefbefdfbfdefbffcfbfgbfbgagfbgcefbgfbfcafgfcbegfcceffccfefcdeefcecffcedefcefcfcfagfcfcefcgbefcgcdfcgdcfcgebfdagefdbdgfdbeffdbgdfdcdffdceefddbgfddcffddfcfddgbfdeagfdebffdecefdeecfdefbfdfaffdfcdfdffafdgaefdgbdfdgccfdgdbfeadgfeaeffeafefeagdfebdffebeefebfdfebgcfecbgfeccffecdefecedfecgbfedagfedbffedcefedddfedecfedfbfeeaffeebefeecdfeedcfeeebfefaefefbdfefccfefdbfefeafegcbfegdaffbbgffbcfffbedffcbfffcddffcecffcfbffdafffdcdffddcffdebffdfaffeaeffeccffedbffeeafffadfffcbfffdaffgcafgabgfgadefgaedfgafcfgagbfgbfbfgbgafgcaffgcdcfgcebfgcfafgdaefgdccfgdeafgebcfgedafgfacfgfcafggabgaagggabfggacffgacgegaddggadefgadgdgaecggaeeegaefdgaegcgafbggafcfgafedgafgbgagaggagbfgagcegagddgagfbgaggagbbffgbbgegbcefgbcfegbddfgbdfdgbebggbeedgbefcgbegbgbfaggbfbfgbfcegbfecgbfgagbgcdgbgfagcaeggcagegcbfegcccggcceegccfdgccgcgcdbggcdcfgcdfcgcdgbgcecegceddgceecgcegagcfbegcfebgcgbdgcgccgcgdbgdadggdaefgdafegdbcggdbfdgdccfgdcedgdcfcgddcegddddgddecgddfbgddgagdeafgdebegdecdgdedcgdeebgdefagdfaegdfccgdfdbgdgadgeacggeadfgeaeegeagcgebbggebcfgebedgebfcgebgbgecbfgeccegececgecgageddcgedebgedfageebdgeeccgeedbgefbcgefcbgegbbgegcagfacfgfadegfaedgfagbgfbbfgfbcegfbecgfbfbgfbgagfcafgfcbegfccdgfdaegfdbdgfddbgfdeagfeadgfebcgffbbgffcagfgabgfgbaggaddggagaggbafggbbeggbebggbfaggcaeggcbdggcccggcdbggdadggdbcggddaggeacggebbggecaggfabggfbagggaaabgggacfggacggfadeggadffgadgegadgffaeegfaefegaefgeaegefaegfeaeggdafdfgafegeaffefafffeafgcgafgdfafgfdafggcagbggagcfgagcgfagdegagdgeagedgageefagfcgagfdfagfeeaggbgaggcfaggdeaggfcagggbbagggbbfggbbgfgbbggfbceggbcfgfbcgegbcgffbcggebddggbdefgbdfegbdfffbdfgebdgdgbdgfebecggbedfgbeeffbefdgbefefbeffebefgdbegcgbegfdbfbggbfdegbfdffbfdgebfedgbfegdbffdfbffeebffgcbfgbgbfgcfbfgedbfgfcbgbfgbgcegbgcgebgddgbgdfebgdgdbgecgbgedfbgeeebgefdbgegcbgfbgbgfdebgfedbgffcbggagbggbfbggcebggddbggecbggfbbgggacafggcagfgcaggfcbeggcbffgcbfgfcbgffcbggeccdggccefgccfegccfgeccgdgccgefccggdcdcggcddfgcddgfcdeffcdfdgcdffecdgcgcdgdfcdgeecdgfdcdggccebggcecfgcedegcedffceedgceeefceefecefcgcefeeceffdcefgccegbgcegcfcegedcegfcceggbcfbfgcfbgfcfcgecfedfcfegccffbgcffcfcffedcfffccffgbcfgagcfgbfcfgcecfgeccfgfbcfggacgafgcgagfcgbgecgcdgcgcfecgcgdcgddfcgdeecgdfdcgdgccgebgcgedecgefccgegbcgfbfcgfcecgfeccgffbcgfgacggfadaeggdaffgdafgfdagffdaggedbdggdbefgdbfegdbfffdbgdgdbgefdbgfedbggddcdgfdceegdceffdcegedcfdgdcfefdcgcgdcgdfdcgfddcggcddcfgddcgfdddegdddgeddedgddeefddfcgddfdfddfgcddgcfddgdeddgfcddggbdeaggdebgfdecegdecgededefdedfededgddeecgdeedfdeeeedeefddefbgdefeddeffcdegagdegcedegdddfbegdfbffdfbgedfcfedfdeedfdgcdfecfdfefcdfegbdffagdffbfdffcedffdddffecdffgadfgafdfgfadgaegdgaffdgagedgccgdgcdfdgceedgcfddgcgcdgdcfdgddedgdfcdgdgbdgebfdgeecdgegadgfafdgfbedgfcddgfdcdgfebdgffadggbddggdbdggeaeadggeafegeagdgeagefeaggdebcggebdfgebeegebffeebgdfebgeeebgfdebggceccfgeccgfecdegecdffecdgeecedgeceefecefeecegdecfcgecfdfecfgcecgbgecgcfecgdeecgedecgfcecggbedbgfedcegedcgeedddgedeeeedefdedegcedfcfedfededfgbedgagedgbfedgceedgddedggaeeafgeeagfeebegeebffeecdgeecefeecfeeeddfeedeeeedfdeedgceeeedeeefceeegbeefageefbfeefceeefddeefeceeffbeefgaeegafeegbeeegcdeegebeegfaefaffefbdgefbfeefbgdefccgefcdfefceeefcgcefdbgefdcfefddeefdfcefdgbefeagefebfefeceefeecefefbeffafeffbeeffcdeffdceffebefffaefgaeefgbdefgccefgeaegaefegagdegbcgegbeeegbfdegbgcegccfegcgbegdddegdecegdfbegdgaegedcegefaegfaeegfbdegfdbegfeaeggcbeggdafacggfadfgfadgffaeegfaefffaegefafdgfafeffaffefafgdfagcgfagdffageefagfdfaggcfbbggfbcfgfbdegfbdfffbdgefbedgfbefefbegdfbfeefbffdfbfgcfbgbgfbgcffbgdefbgedfbgfcfbggbfcaggfcbfgfcbgffccegfccfffccgefcddgfcdeffcdfefcdgdfcecgfcedffcfbgfcfcffcfgbfcgagfcgbffcgcefcgecfcgfbfcggafdafgfdbegfdbfffdbgefdceffdcfefdcgdfddcgfdddffddeefddfdfddgcfdefcfdfcefdfddfdfgafdgaffdgcdfdgdcfdgebfeaegfeafffebdgfebfefecgcfedfcfedgbfeeagfeecefeeddfeefbfefaffefbefefdcfefebfeffafegaefegbdfegdbffadgffaefffafeffagdffbcgffbeeffbfdffbgcffcbgffccfffcdeffcedffcgbffdagffdddffdecffdfbffdgaffeafffefafffbdfffdbffgadffgbcffgcbfgacgfgagcfgbbgfgbcffgbdefgbedfgbfcfgbgbfgcagfgccefgcddfgdaffgddcfgdfafgeaefgeeafgfdafggbbfggcagabgggacfggacgfgadeggaeefgaegdgafcggafdfgaffdgafgcgagcfgbbfggbbgfgbceggbcffgbdgdgbedfgbeeegbefdgbegcgbfcfgbfedgbffcgbfgbgbgbfgbgddgbgecgbgfbgcbgegccefgcdcggcdeegcdgcgcebggcecfgceedgcegbgcfaggcfbfgcfecgcfgagcgafgcgcdgcgfagdaffgdccggdcdfgdceegdcfdgdcgcgdddegddedgddfcgddgbgdeaggdecegdeecgdefbgdegagdfafgdfbegdfdcgdgbdgeadggeaefgeagdgebdfgebeegebfdgebgcgecbggeccfgecdegecfcgedcegedddgedecgedfbgedgageeafgeebegeeebgeefagefccgefdbgefeagegadgegdagfacggfadfgfaeegfafdgfagcgfbcfgfbedgfbfcgfcaggfcbfgfccegfcddgfcfbgfcgagfdbegfdcdgfddcgfdfagfeaegfebdgfedbgfeeagffadgffcbgffdagfgbbgfgcaggabgggacfggadeggaedggafcggbbfggbddggbecggbfbggbgaggcafggcbeggccdggcdcggcebggcfaggdeaggeadggecbggedaggfacggfbbggfcagggabacgggadfggadgfgaeeggaeffgaefgfaegffafdggafegfaffffafgefafggdagdfgageffagfdgagfefagffeaggcgaggdfaggeeaggfdbcfggbcggfbdeggbdfgfbdgegbdgffbdggebedggbeefgbefffbefgebfdfgbfdgfbfeegbfeffbfegebffgdbfgcgbfgdfbfgeebfgfdbfggcbgcgfbgdegbgdffbgdgebgedgbgeefbgefebgegdbgfcgbgffdbgfgcbggcfbgggbcbfggcbgfgcbggfcceggccffgccfgfccggecddggcdefgcdfffcdfgecdgdgcdgefcdgfecdggdcecggcedfgceeegceeffceegecefdgcefefceffecegcgcegeecegfdcfcfgcfcgfcfdegcfdffcfdgecfedgcfefecffcgcffeecfffdcffgccfgcfcfgdecfgedcfgfccfggbcgaggcgbfgcgbgfcgcegcgcffcgcgecgdgdcgefdcgegccgfcfcgfedcgfgbcggagcggbfcggcecggddcggeccgggadagfgdaggfdbeggdbffgdbfgfdbgegdbgffdcefgdcegfdcfegdcfffdcgdgdcgefdcgfeddcggdddfgddfdgddfefddfgdddgcgddgdfddgeeddgfdddggcdecgfdedegdeedgdeeefdeegddefcgdefdfdefeedefgcdegbgdegcfdegeddegfcdeggbdfaggdfcegdfcffdfcgedfdfedfdgddfecgdfegcdffbgdffcfdffgbdfgagdfgcedfgdddfgecdfggadgafgdgagfdgbegdgbffdgbgedgcfedgcgddgdcgdgddfdgdeedgdfddgdgcdgebgdgecfdgededgeeddgfcedggafdggbedggcddggdcdggebdggfaeaeggeaffgeafgfebegfebfffebfgeebggdeccggecdgfeceegecegeecfdgecffeecgfdecggcedbggedcfgedcgfeddgeededgedeefedefeedfdfedfeeedffdedfgcedgcfedgdeedgededgfcedggbeeaggeebgfeecegeecffeecgeeeddgeedefeedfeeedgdeeecgeeedfeeefdeeegceefbgeefcfeefedeefgbeegceeegddeegfbeeggaefafgefagfefbffefbgeefcefefcgdefdeeefdfdefdgcefebgefecfefedeefefcefegbeffageffbfeffceeffddeffecefgafefgcdefgdcegaegegaffegageegbdgegbefegbfeegcdfegceeegcfdegcgcegdbgegdcfegdedegebfegeecegfafegfcdegfdcegffaeggbdeggdbfadggfaefgfafegfafgefageffagfefaggdfbdfgfbdgffbeegfbegefbffefbfgdfbgcgfbgdffbgeefbgfdfccgffcdegfcdfffcdgefcedgfcefefcegdfcfcgfcfdffcfeefcffdfcgbgfcgcffcgedfcggbfdbgffdcegfdcgefddeffddfefdecgfdefdfdfbgfdfcffdffcfdgagfdgbffdgcefdgecfdggafeafgfeagffebfffeceffecfefecgdfedcgfedfdfedgcfeebgfeecffeedefeeedfeefcfefagfefbffefcefefddfefecfefgafegaffegcdfegdcfegebffaffffageffbdgffbefffbfeffbgdffccgffcdfffceeffcfdffcgcffdcfffddeffdedffdfcffeagffeddffeecffefbffegafffaffffbefffebffgaeffgbdffgccffgdbffgeafgadgfgaeffgafefgagdfgbcgfgbdffgbeefgbgcfgcdefgcedfgcfcfgcgbfgdagfgdbffgdgafgeaffgebefgecdfgedcfgeebfgfaefgfbdfgfccfgfdbfgfeafggadfggbcfggcbfggdagacgggadfggadgfgaeeggafefgaffegafgdgageegagfdgaggcgbcfggbcgfgbdeggbdffgbdgegbedggbeefgbegdgbfeegbffdgbfgcgbgdegbgfcgcagggcbfggcbgfgcceggccgegcddggcdefgcdfegcdgdgcedfgceeegcfdegcfedgcfgbgcgaggcgcegcgecgcgfbgcggagdbeggdbffgdcfegdcgdgddcggddeegddfdgdecfgdeedgdfaggdfbfgdfddgdgafgdgbegdgcdgdgdcgdgebgeaffgebdggebefgebfegebgdgeccggecfdgecgcgedbggedgbgeeaggeebfgeecegeefbgeegagefafgefbegefdcgefebgegbdgegccgegdbgegeagfaefgfafegfbcggfbgcgfcbggfcedgfcgbgfdbfgfdcegfdecgfdfbgfebegfecdgfeebgfefagffbdgffdbgffeagfgbcgfgdaggacgggadfggafdggbbgggbcfggbdeggbedggbgbggcagggcbfggcecggcfbggdafggdcdggddcggdfaggeaeggebdggedbggfbcggfcbgggacgggcaadgggaefggaegfgaeggfafffgafgegafggeagdggagefgagfegagfffagfgeaggdgaggefagggdbdfggbdgfgbeeggbeffgbefgfbegegbegffbeggebfdggbfefgbfegfbffffbfgdgbfgefbgcggbgdgfbgeegbgeffbgegebgfefbgfgdbggcgbggfdbgggccbgggccfggccgfgccggfcdeggcdffgcdgegcdgffcdggeceefgcefegcefffcefgecegefcegfeceggdcfdgfcfeegcffefcfffecfgcgcfgdfcfgfdcgbggcgcgfcgdegcgdffcgdgecgegdcgfcgcgfeecgffdcggcfcggdecggedcggfccgggbdceggdcffgdcgegdddggddfegddfffddfgededfgdedgfdeeegdeeffdeegedefefdeffedefgddeggcdfcfgdfcgfdfdegdfdffdfdgedfedgdfefedfegddffcgdffdfdfffddffgcdfgbgdfgcfdfgdedfgeddfggbdgbfgdgbgfdgcegdgcffdgcgedgdefdgdfedgdgddgecgdgeeedgefddgegcdgfeddgffcdgfgbdggbfdggcedggdddggecdggfbeafggebeggebfgfebgffebggeecegfecfgeecgefedcggeddgfedeffedfdgedffeedfgdedgdfedgfdedggceebggeecfgeedgeeeedgeefcgeefdfeefeeeeffdeegbgefaggefbfgefbgfefcffefddgefdfeefedfefeeeefefdefegceffcfeffdeeffedefffcefgagefgceefgddefgecefggaegagfegbegegbgeegcdgegcefegddfegdeeegdfdegebgegedeegefcegegbegfagegfbfegfceegffbeggafeggbeeggcdeggdcfafgffagegfagfffbegffbfegfbfgefbgeffbgfefcdfgfcdgffceegfcefffcegefcffefcfgdfcgeefcgfdfdcfgfdcgffddegfddfffdedgfdgcffdgdefdgedfdgfcfeaggfebfgfebgffecfffedeffedfefeedffeegcfefcffefedfeffcfegagfegbffegcefegddfegecfegfbfeggaffagfffbegffbffffbgeffcdgffcfeffddfffdeeffdfdffdgcffebgffecfffefcfffagfffbffffceffgbeffgcdffgdcffgfafgaegfgafffgbdgfgbeffgbfefgccgfgcdffgceefgcgcfgdcffgdedfgdfcfgecefgeddfgeecfgegafgfaffgfbefgfdcfgffafggbdfggccfggdbfggeagadgggaefggafffgafgegagdggaggdgbdgfgbfdggbfgdgbgfdgcbgggccfggcdeggcdffgcdgegcedggcefegcegdgcfcggcfeegcffdgcfgcgcgbggcgcfgcgdegcgedgcggbgdagggdbgfgdceggddefgddfegdecggdedfgdeeegdegcgdfdegdfedgdffcgdfgbgdgaggdgbfgdgcegdgddgdgecgdggageafggeagfgebeggecdggecefgecgdgeddfgedfdgedgcgeecfgeedegeegbgefcegefddgefecgefgagegafgegbegegcdgegebgegfagfaeggfaffgfagegfbdggfbefgfbfegfccggfcdfgfcgcgfdcfgfdedgfdfcgfdgbgfebfgfeddgfegagffbegffcdgffdcgffebgfgbdgfgccgfgdbggadgggaefggbcgggccfggcdeggcfcggdagggdceggdddggdfbggdgaggecdggedcggeebggefaggfdbgggadgggcbgggdaaegggafgfgafggfageggagfgfaggegaggffagggebdgggbefggbegfgbeggfbfeggbfffgbffgfbfgegbfgffbfggebggdgbggefbgggdccgggcdgfgceeggcefgfcegegcegffcfdggcfefgcfegfcffegcffgecfgdgcgcggcgdfgcgdgfcgeffcgfefcgffecgfgdcggfdcgggcdcggfddeggddffgddgegddgffdedggdefffdefgedeggddfcggdfdgfdfeegdfeffdfegedffdgdffgddfggcdgbggdgcfgdgcgfdgdegdgedgdgefedgegddgfcgdgfdfdgfeedggcfdggeddggfcdgggbeagggebfggeceggecffgecfgfecgffecggeedfegedfffedgdgedgfeeecggeedgfeeeegeefdgeefgdeegcgeegdfeegeeeegfdefcfgefdegefdffefdgeefedgeffeeefffdeffgcefgbgefgcfefgedefgfcegaggegbfgegbgfegcffegcgeegddgegdefegefdegegcegfdeegfedegffcegfgbeggageggceeggddeggeceggfbfafggfagfgfaggffbeggfbffgfbfgffbgegfbgfffbggefcefgfcegffcfegfcffffcfgefcgdgfcgeffcgfefcggdfdcggfddfgfddgffdeegfdefffdegefdffefdfgdfdgeefdgfdfdggcfecfgfedfffeedgfeeeffeefefefdffefgcfegcffegdefegfcffaggffbfgffbgfffcegffcgeffddgffecgffedfffeeefffcffffdefffedffffcffgagfgafgfgagffgbegfgbfffgcdgfgceffgcfefgcgdfgddffgdeefgdfdfgdgcfgedefgefcfgegbfgfagfgfbffgfddfgfgafggbefggdcfggebfggfagaegggaffggagffgbefggbegfgbfeggbfffgbfgegbgdggbgefgbgfegccgggcdgfgcfdggcfgdgcgcggcgdfgcgfdgdbgggdcfggddffgddgegdedggdeefgdefegdfcggdfdfgdfeegdfgcgdgdegdgedgebgfgeceggecffgeddggedefgedfegedgdgeefdgefbggefcfgeffcgegbfgegcegegddgegecgegfbgfbeggfbffgfbgegfcfegfcgdgfdcggfdeegfdfdgfdgcgfebggfecfgfeedgfefcgffaggffecgfffbgfgafgfgdcggageggbdgggbfeggbgdggccgggceeggcfdggdbgggdcfggddeggdedggdfcggebfggeddggeecggefbggegaggfcdggfdcggfebgggaegggbdgggccgggdbafgggagfggaggfgagggfbegggbffggbfgfgbfggfbgeggbgffgbggffbgggecefggceggfcffgfcfggecgdggcgefgcgfegcgfgecggefcggfecgggddcgggddfggddgfgddggfdegegdfdggdffegdffffdffgedfgefdfgfedfggddgdfgdgeegdgeffdgegedgfefdgffedgfgddggcgdggdfdggfdebgggecfggecggfedeggedffgedfgfedgegedgffedggeeedggeeefgeeegfeefegeefffeefgeeegdgeegefefcggefdfgefdgfefeegefegeeffdgeffgdefgcgefgdfefgeeefgfdegcfgegdegegedgegegdegffdegfgceggbgeggedegggbfagggfbfggfbggffcffgfcgegfcgfffcggefddggfdefgfdegffdfegfdffffdfgefdgdgfdggdfedfgfedgffeeegfeegefefdgfefeffeffefegcgfegdffegeefegfdfeggcffbggffcfgffcgfffdegffdffffdgeffedgffeefffefeffegdfffcgfffdfffffdfffgcffgbgffgedffgfcffggbfgaggfgbfgfgbgffgdeffgdfefgdgdfgecgfgedffgefdfgegcfgfcffgfdefgffcfgfgbfggagfggbffggcefggfbgagfggbegggbffggbfgfgbgeggbgffgbggegcdgggcefggcfeggcfffgcfgegcgfegcggdgdcgggddgfgdeffgdegegdfefgdffegdfgdgdgcggdgdfgdgeegdgfdgdggcgebgggecfggecgfgedeggeedggeefegefcggefdfgeffdgefgcgegbggegcfgegdegegedgegfcgeggbgfbfggfbgfgfcgegfdfegfdgdgfedfgffdegfffcgffgbgfgaggfgcegfgddgfgfbgfggaggafgggbffggcdgggcefggcfeggdcgggdfdggebgggedeggeedggefcggfagggfbfggfceggfddggfecggfgagggbegggdcgggebaggggbfgggbgfggbggfgbgggfcegggcffggcfgfgcfggfcgeggcgffgcgfgfcggegcgggeddgggdegfgdeggfdfgegdfgffdfggedgefgdgfegdgfgedggefdggfedgggdedfggedggfeeeggeefgfeegegeeggeefdggeffegeffffeffgeefgdgefgefefggdegdfgegdgfegeegegeffegfefegfgdeggcgeggeeeggfdegggcfbgggfcggffdeggfdffgfdfgffdgfffdggefeefgfeegffefegfeffffefgefegeffeggdffcggffdfgffeegffegefffeffffgdffgdfffgfdffggcfgcfgfgcgffgdegfgdfffgeeffgffdfgfgcfggbgfggcffggdefggedfggfcfgggbgaggggbfgggbgfggbggfgcegggcfgfgcgeggddgggdegfgdfffgdfgegdgdggdgefgdgfegdggdgedfggedgfgeeeggeeffgeegegefefgeffegefgdgegcggegdfgegfdgfbgggfcfggfcgfgfdeggfdffgfdgegfeefgfefegfegdgffeegfgbggfgcfgfgdegfgfcgfggbggbfgggbgfggdfeggdgdggecgggedfggefdggegcggfdeggfedgggaggggcegggddgggecbggggcfgggcgfggcggfgdegggdffggdgeggdgffgdggffdgggeedgggeegfgeeggfefeggefgegefgffegefgegegfegfegegfffegfgeeggdgeggefeggfefdfggfeffgfefgffegegfegfffeggeffdggffegffffegffffffffgeffgefffgfeffggdfgcggfgeegfgefffgfeffgfgdfggcgfggdffggeefggfdfgggcgbggggcgfggdegggdffggdgeggdgffgdggegedgggeefggeegfgefffgegdggegefgegfegeggdgfdfggfdgfgfeeggfeffgfegegfffegfgcggfgdfgfgeegfggcggcfgggcgfggdgeggedgggeefggegdggfcgggfdfggfeeggffdgggbggggcfgggdegggfcaaaacggggdfgggdggfgdgggfeegggeffggegeggegffgegfgfeggfffdgggfegfgfeggffffgffgdggfgegffgfegfgffffgfgefggdgfggfefgggdgcggggdgfggdggfgeegggefgfgegffgeggegfdgggfefggffffgfgdggfgfegfggdggcggggdgfggeffggfdgggffegggcggggdfgggeeggggcaaabaabaabaabaaadggggegfggegggffegggffgfgffggffgffgfgfgffggeggdggggefgggfegggfffggfggeggefgggfegggfgegggefaaacaabbaacaabababbaacaabaabbababbaacaaaeggggffgggfgfggfggfgfgggfgeggggffgggfgfgggeggggffggggegggggeaaadaabcaacbaadaabacabbbabcaacabacbaadaabaacbabbbacabbabbbbabcaacaabcabacbaadaaafggggggfgggggfgaaaeaabdaaccaadbaaeaabadabbcabcbabdaacacacbbaccaadabadbaaeaabaadbabcbacbbadabbacbbbbbbcabcabbcbabdaacaaccabbcacacbabcbbaccaadaabdabadbaaeaaagggggaaafaabeaacdaadcaaebaafaabaeabbdabccabdbabeaacadacbcaccbacdaadacadbbadcaaeabaebaafaabaaebabdbaccbadbbaeabbadbbbcbbcbbbdabcacbcbbbccabdabbdbabeaacaadcabccacbcadacbaccbbbcbcaccabccbacdaadaacdabbdacadbabdbbadcaaeaabeabaebaafaaaaaagaabfaaceaaddaaecaafbaagaabafabbeabcdabdcabebabfaacaeacbdacccacdbaceaadadadbcadcbaddaaeacaebbaecaafabafbaagaabaafbabebacdbadcbaebbafabbaebbbdbbccbbdbbbeabcadbcbcbccbbcdabdacbdbbbdcabeabbebabfaacaaecabdcacccadbcaeacbadcbbccbcbcbdaccacccbbcccacdabcdbaceaadaaddabcdacbdadadbacdbbbdbcadcabdcbaddaaeaaceabbeacaebabebbaecaafaabfabafbaagaaaaabgaacfaadeaaedaafcaagbabagabbfabceabddabecabfbabgaacafacbeaccdacdcacebacfaadaeadbdadccaddbadeaaeadaebcaecbaedaafacafbbafcaagabagbabaagbabfbacebaddbaecbafbbagabbafbbbebbcdbbdcbbebbbfabcaebcbdbcccbcdbbceabdadbdbcbdcbbddabeacbebbbecabfabbfbabgaacaafcabecacdcadccaebcafacbaecbbdcbcccbdbcbeaccadccbccccbccdacdaccdbbcdcaceabcebacfaadaaedabddaccdadbdaeadbaddbbcdbcbdbdadcacdcbbdccaddabddbadeaaeaadeabceacbeadaebacebbbebcaecabecbaedaafaacfabbfacafbabfbbafcaagaabgabagbaaaacgaadfaaeeaafdaagcabbgabcfabdeabedabfcabgbacagacbfacceacddacecacfbacgaadafadbeadcdaddcadebadfaaeaeaebdaeccaedbaeeaafadafbcafcbafdaagacagbbagcababgbacfbadebaedbafcbagbbbagbbbfbbcebbddbbecbbfbbbgabcafbcbebccdbcdcbcebbcfabdaebdbdbdccbddbbdeabeadbebcbecbbedabfacbfbbbfcabgabbgbacaagcabfcacecaddcaeccafbcagacbafcbbecbcdcbdccbebcbfaccaeccbdccccccdbcceacdadcdbccdcbcddaceaccebbcecacfabcfbacgaadaafdabedacddadcdaebdafadbaedbbddbccdbdbdbeadcaddcbcdccbdcdaddacddbbddcadeabdebadfaaeaaeeabdeacceadbebadebbcebcbebdaecacecbbeccaedabedbaeeaafaadfabcfacbfadafbacfbbbfbcafcabfcbafdaagaacgabbgacagbabgbbagcaaaadgaaefaafeaagdabcgabdfabeeabfdabgcacbgaccfacdeacedacfcacgbadagadbfadceadddadecadfbadgaaeafaebeaecdaedcaeebaefaafaeafbdafccafdbafeaagadagbcagcbagdabacgbadfbaeebafdbagcbbbgbbcfbbdebbedbbfcbbgbbcagbcbfbccebcddbcecbcfbbcgabdafbdbebdcdbddcbdebbdfabeaebebdbeccbedbbeeabfadbfbcbfcbbfdabgacbgbbbgcacabgcacfcadecaedcafccagbcbagcbbfcbcecbddcbeccbfbcbgaccafccbecccdccdcccebccfacdaecdbdcdcccddbcdeaceadcebccecbcedacfaccfbbcfcacgabcgbadaagdabfdacedadddaecdafbdagadbafdbbedbcddbdcdbebdbfadcaedcbddcccdcdbdceaddadddbcddcbdddadeacdebbdecadfabdfbadgaaeaafeabeeacdeaebeafaebaeebbdebccebdbebeaecadecbceccbecdaedacedbbedcaeeabeebaefaafaaefabdfaccfadbfaeafbadfbbcfbcbfbdafcacfcbbfccafdabfdbafeaagaadgabcgacbgadagbacgbbbgbcagcabgcbagdaaaaegaaffaageabdgabefabfeabgdaccgacdfaceeacfdacgcadbgadcfaddeadedadfcadgbaeagaebfaeceaeddaeecaefbaegaafafafbeafcdafdcafebaffaagaeagbdagccagdbageabadgbaefbafebagdbbcgbbdfbbeebbfdbbgcbcbgbccfbcdebcedbcfcbcgbbdagbdbfbdcebdddbdecbdfbbdgabeafbebebecdbedcbeebbefabfaebfbdbfccbfdbbfeabgadbgbcbgcbbgdacacgcadfcaeecafdcagccbbgcbcfcbdecbedcbfccbgbccagccbfccceccddccecccfbccgacdafcdbecdcdcddccdebcdfaceaecebdcecccedbceeacfadcfbccfcbcfdacgaccgbbcgcadabgdacfdadedaeddafcdagbdbagdbbfdbcedbdddbecdbfbdbgadcafdcbedccddcdcdcebdcfaddaeddbdddccdddbddeadeaddebcdecbdedadfacdfbbdfcadgabdgbaeaageabfeaceeaddeaeceafbeagaebafebbeebcdebdcebebebfaecaeecbdecccecdbeceaedadedbcedcbeddaeeaceebbeecaefabefbaegaafaaffabefacdfadcfaebfafafbaefbbdfbccfbdbfbeafcadfcbcfccbfcdafdacfdbbfdcafeabfebaffaagaaegabdgaccgadbgaeagbadgbbcgbcbgbdagcacgcbbgccagdabgdbageaaaafgaagfabegabffabgeacdgacefacfeacgdadcgaddfadeeadfdadgcaebgaecfaedeaeedaefcaegbafagafbfafceafddafecaffbafgaagafagbeagcdagdcagebagfabaegbaffbagebbdgbbefbbfebbgdbccgbcdfbceebcfdbcgcbdbgbdcfbddebdedbdfcbdgbbeagbebfbecebeddbeecbefbbegabfafbfbebfcdbfdcbfebbffabgaebgbdbgccbgdbbgeacadgcaefcafecagdcbcgcbdfcbeecbfdcbgcccbgcccfccdeccedccfcccgbcdagcdbfcdcecdddcdeccdfbcdgaceafcebececdcedcceebcefacfaecfbdcfcccfdbcfeacgadcgbccgcbcgdadacgdadfdaeedafddagcdbbgdbcfdbdedbeddbfcdbgbdcagdcbfdccedcdddcecdcfbdcgaddafddbeddcddddcddebddfadeaedebddeccdedbdeeadfaddfbcdfcbdfdadgacdgbbdgcaeabgeacfeadeeaedeafceagbebagebbfebceebddebecebfbebgaecafecbeeccdecdcecebecfaedaeedbdedcceddbedeaeeadeebceecbeedaefacefbbefcaegabegbafaagfabffacefaddfaecfafbfagafbaffbbefbcdfbdcfbebfbfafcaefcbdfcccfcdbfceafdadfdbcfdcbfddafeacfebbfecaffabffbafgaagaafgabegacdgadcgaebgafagbaegbbdgbccgbdbgbeagcadgcbcgccbgcdagdacgdbbgdcageabgebagfaaaaggabfgabgfacegacffacgeaddgadefadfeadgdaecgaedfaeeeaefdaegcafbgafcfafdeafedaffcafgbagagagbfagceagddagecagfbaggabafgbagfbbegbbffbbgebcdgbcefbcfebcgdbdcgbddfbdeebdfdbdgcbebgbecfbedebeedbefcbegbbfagbfbfbfcebfddbfecbffbbfgabgafbgbebgcdbgdcbgebbgfacaegcaffcagecbdgcbefcbfecbgdcccgccdfcceeccfdccgccdbgcdcfcddecdedcdfccdgbceagcebfcececeddceeccefbcegacfafcfbecfcdcfdccfebcffacgaecgbdcgcccgdbcgeadadgdaefdafedagddbcgdbdfdbeedbfddbgcdcbgdccfdcdedceddcfcdcgbddagddbfddceddddddecddfbddgadeafdebedecddedcdeebdefadfaedfbddfccdfdbdfeadgaddgbcdgcbdgdaeacgeadfeaeeeafdeagcebbgebcfebdeebedebfcebgbecagecbfecceecddecececfbecgaedafedbeedcdeddcedebedfaeeaeeebdeecceedbeeeaefadefbcefcbefdaegacegbbegcafabgfacffadefaedfafcfagbfbagfbbffbcefbddfbecfbfbfbgafcaffcbefccdfcdcfcebfcfafdaefdbdfdccfddbfdeafeadfebcfecbfedaffacffbbffcafgabfgbagaaggabfgacegaddgaecgafbgagagbafgbbegbcdgbdcgbebgbfagcaegcbdgcccgcdbgceagdadgdbcgdcbgddageacgebbgecagfabgfbaggaaabggacfgacgfadegadffadgeaedgaeefaefeaegdafcgafdfafeeaffdafgcagbgagcfagdeagedagfcaggbbaggbbfgbbgfbcegbcffbcgebddgbdefbdfebdgdbecgbedfbeeebefdbegcbfbgbfcfbfdebfedbffcbfgbbgagbgbfbgcebgddbgecbgfbbggacafgcagfcbegcbffcbgeccdgccefccfeccgdcdcgcddfcdeecdfdcdgccebgcecfcedeceedcefccegbcfagcfbfcfcecfddcfeccffbcfgacgafcgbecgcdcgdccgebcgfadaegdaffdagedbdgdbefdbfedbgddccgdcdfdceedcfddcgcddbgddcfdddeddedddfcddgbdeagdebfdecededddeecdefbdegadfafdfbedfcddfdcdfebdffadgaedgbddgccdgdbdgeaeadgeaefeafeeagdebcgebdfebeeebfdebgcecbgeccfecdeecedecfcecgbedagedbfedceedddedecedfbedgaeeafeebeeecdeedceeebeefaefaeefbdefccefdbefeaegadegbcegcbegdafacgfadffaeefafdfagcfbbgfbcffbdefbedfbfcfbgbfcagfcbffccefcddfcecfcfbfcgafdaffdbefdcdfddcfdebfdfafeaefebdfeccfedbfeeaffadffbcffcbffdafgacfgbbfgcagabggacfgadegaedgafcgagbgbaggbbfgbcegbddgbecgbfbgbgagcafgcbegccdgcdcgcebgcfagdaegdbdgdccgddbgdeageadgebcgecbgedagfacgfbbgfcaggabggbaacggadfgadgfaeegaeffaegeafdgafefaffeafgdagcgagdfageeagfdaggcbbggbcfgbcgfbdegbdffbdgebedgbeefbefebegdbfcgbfdfbfeebffdbfgcbgbgbgcfbgdebgedbgfcbggbcaggcbfgcbgfccegccffccgecddgcdefcdfecdgdcecgcedfceeecefdcegccfbgcfcfcfdecfedcffccfgbcgagcgbfcgcecgddcgeccgfbcggadafgdagfdbegdbffdbgedcdgdcefdcfedcgdddcgdddfddeeddfdddgcdebgdecfdededeeddefcdegbdfagdfbfdfcedfdddfecdffbdfgadgafdgbedgcddgdcdgebdgfaeaegeaffeageebdgebefebfeebgdeccgecdfeceeecfdecgcedbgedcfeddeedededfcedgbeeageebfeeceeeddeeeceefbeegaefafefbeefcdefdcefebeffaegaeegbdegccegdbegeafadgfaeffafefagdfbcgfbdffbeefbfdfbgcfcbgfccffcdefcedfcfcfcgbfdagfdbffdcefdddfdecfdfbfdgafeaffebefecdfedcfeebfefaffaeffbdffccffdbffeafgadfgbcfgcbfgdagacggadfgaeegafdgagcgbbggbcfgbdegbedgbfcgbgbgcaggcbfgccegcddgcecgcfbgcgagdafgdbegdcdgddcgdebgdfageaegebdgeccgedbgeeagfadgfbcgfcbgfdaggacggbbggcaadggaefgaegfafegafffafgeagdgagefagfeaggdbcggbdfgbdgfbeegbeffbegebfdgbfefbffebfgdbgcgbgdfbgeebgfdbggccbggccfgccgfcdegcdffcdgecedgceefcefecegdcfcgcfdfcfeecffdcfgccgbgcgcfcgdecgedcgfccggbdaggdbfgdbgfdcegdcffdcgedddgddefddfeddgddecgdedfdeeedefddegcdfbgdfcfdfdedfeddffcdfgbdgagdgbfdgcedgdddgecdgfbdggaeafgeagfebegebffebgeecdgecefecfeecgdedcgeddfedeeedfdedgceebgeecfeedeeeedeefceegbefagefbfefceefddefeceffbefgaegafegbeegcdegdcegebegfafaegfafffagefbdgfbeffbfefbgdfccgfcdffceefcfdfcgcfdbgfdcffddefdedfdfcfdgbfeagfebffecefeddfeecfefbfegaffafffbeffcdffdcffebfffafgaefgbdfgccfgdbfgeagadggaefgafegagdgbcggbdfgbeegbfdgbgcgcbggccfgcdegcedgcfcgcgbgdaggdbfgdcegdddgdecgdfbgdgageafgebegecdgedcgeebgefagfaegfbdgfccgfdbgfeaggadggbcggcbggdaaeggaffgafgfagegagffaggebdggbefgbegfbfegbfffbfgebgdgbgefbgfebggdccggcdfgcdgfceegceffcegecfdgcfefcffecfgdcgcgcgdfcgeecgfdcggcdbggdcfgdcgfddegddffddgededgdeefdefedegddfcgdfdfdfeedffddfgcdgbgdgcfdgdedgeddgfcdggbeaggebfgebgfecegecffecgeeddgedefedfeedgdeecgeedfeeeeeefdeegcefbgefcfefdeefedeffcefgbegagegbfegceegddegecegfbeggafafgfagffbegfbfffbgefcdgfceffcfefcgdfdcgfddffdeefdfdfdgcfebgfecffedefeedfefcfegbffagffbfffceffddffecfffbffgafgaffgbefgcdfgdcfgebfgfagaeggaffgagegbdggbefgbfegbgdgccggcdfgceegcfdgcgcgdbggdcfgddegdedgdfcgdgbgeaggebfgecegeddgeecgefbgegagfafgfbegfcdgfdcgfebgffaggaeggbdggccggdbggeaafggagfgaggfbeggbffgbfgfbgegbgffbggecdggcefgcegfcfegcfffcfgecgdgcgefcgfecggddcggddfgddgfdeegdeffdegedfdgdfefdffedfgddgcgdgdfdgeedgfddggcebggecfgecgfedegedffedgeeedgeeefeefeeegdefcgefdfefeeeffdefgcegbgegcfegdeegedegfceggbfaggfbfgfbgffcegfcfffcgefddgfdeffdfefdgdfecgfedffeeefefdfegcffbgffcfffdeffedfffcffgbfgagfgbffgcefgddfgecfgfbfggagafggagfgbeggbffgbgegcdggcefgcfegcgdgdcggddfgdeegdfdgdgcgebggecfgedegeedgefcgegbgfaggfbfgfcegfddgfecgffbgfgaggafggbeggcdggdcggebggfaagggbfggbgfgbggfceggcffgcfgfcgegcgffcggeddggdefgdegfdfegdfffdfgedgdgdgefdgfedggdecggedfgedgfeeegeeffeegeefdgefefeffeefgdegcgegdfegeeegfdeggcfbggfcfgfcgffdegfdfffdgefedgfeeffefefegdffcgffdfffeefffdffgcfgbgfgcffgdefgedfgfcfggbgagggbfggbgfgceggcffgcgegddggdefgdfegdgdgecggedfgeeegefdgegcgfbggfcfgfdegfedgffcgfgbggagggbfggceggddggecggfbgggabgggcfggcgfgcggfdeggdffgdfgfdgegdgffdggeedggeefgeegfefegefffefgeegdgegefegfeeggdfcggfdfgfdgffeegfefffegeffdgffeffffeffgdfgcgfgdffgeefgfdfggcgbgggcfggcgfgdeggdffgdgegedggeefgefegegdgfcggfdfgfeegffdgfgcggbgggcfggdeggedggfcgggbcgggdfggdgfgdggfeeggeffgefgfegegegffeggefdggfefgfegfffegffffffgefgdgfgeffgfefggdgcgggdfggdgfgeeggeffgegegfdggfefgffegfgdggcgggdfggeeggfdgggcdgggefggegfgeggffeggfffgffgffgegfgfffggegdgggefggegfgfeggfffgfgeggdgggefggfegggdegggffggfgfgfggfgegggffggfgfggegggffgggefggggfggggfggggfggggaaaaabababaaaacabbacababbbacaaaadabcacbadabacbbbbcacabcbadaaaaeabdaccadbaeabadbbcbcbbdacaccbbccadabdbaeaaaafabeacdadcaebafabaebbdbccbdbbeacadcbcccbcdadacdbbdcaeabebafaaaagabfaceaddaecafbagabafbbebcdbdcbebbfacaecbdccccdbceadaddbcdcbddaeacebbecafabfbagaaabgacfadeaedafcagbbagbbfbcebddbecbfbbgacafcbeccdcdccebcfadaedbddccddbdeaeadebcecbedafacfbbfcagabgbaacgadfaeeafdagcbbgbcfbdebedbfcbgbcagcbfccecddceccfbcgadafdbedcdddcdebdfaeaeebdeccedbeeafadfbcfcbfdagacgbbgcaadgaefafeagdbcgbdfbeebfdbgccbgccfcdecedcfccgbdagdbfdceddddecdfbdgaeafebeecdedceebefafaefbdfccfdbfeagadgbcgcbgdaaegaffagebdgbefbfebgdccgcdfceecfdcgcdbgdcfddededdfcdgbeagebfeceeddeecefbegafaffbefcdfdcfebffagaegbdgccgdbgeaafgagfbegbffbgecdgcefcfecgddcgddfdeedfddgcebgecfedeeedefcegbfagfbffcefddfecffbfgagafgbegcdgdcgebgfaaggbfgbgfcegcffcgeddgdefdfedgdecgedfeeeefdegcfbgfcffdefedffcfgbgaggbfgcegddgecgfbggabggcfgcgfdegdffdgeedgeefefeegdfcgfdffeeffdfgcgbggcfgdegedgfcggbcggdfgdgfeegeffegefdgfefffefgdgcggdfgeegfdggcdggefgegffegffffgegdggefgfeggdeggffgfgfgeggffggefgggfgggfgggaaabbaacbbcaadbccbdaaebdccdbeaafbecddcebfaagbfceddecfbgabgcfdeedfcgbcgdfeefdgcdgeffegdegffgefggfggabcdefg