A38896. 山谷给定一个字母矩阵，如果矩阵中的某个位置不在四条边上，而且该位置上的字母小于其上下左右四个位置的字母，则称为一个山谷。例如，对于如下矩阵DDDDD CADCE FFFFA共有两个山谷，位于第二行第二列和第四列。请注意第二行第三列和第三行第五列都不是山谷。对于如下30行60列的字母矩阵（请用等宽字体查看），请问有多少个山谷？PHQGHUMEAYLNLFDXFIRCVSCXGGBWKFNQDUXW…
填空题
困难
知识点
题目描述
山谷
给定一个字母矩阵，如果矩阵中的某个位置不在四条边上，而且该位置上的字母小于其上下左右四个位置的字母，则称为一个山谷。
例如，对于如下矩阵
DDDDD
CADCE
FFFFA共有两个山谷，位于第二行第二列和第四列。请注意第二行第三列和第三行第五列都不是山谷。
对于如下30行60列的字母矩阵（请用等宽字体查看），请问有多少个山谷？
PHQGHUMEAYLNLFDXFIRCVSCXGGBWKFNQDUXWFNFOZVSRTKJPREPGGXRPNRVY
STMWCYSYYCQPEVIKEFFMZNIMKKASVWSRENZKYCXFXTLSGYPSFADPOOEFXZBC
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XOTOGBGXPEYANFETCUKEPZSHKLJUGGGEKJDQZJENPEVQGXIEPJSRDZJAZUJL
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EEDDPSZRNAVYMMTATBDZQSOEMUVNPPPSUACBAZUXMHECTHLEGRPUNKDMBPPW
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ELSOTFLBGSFNPCUZSRUPCHYNVZHCPQUGRIWNIQXDFJPWPXFBLKPNPEELFJMT参考答案
s='''PHQGHUMEAYLNLFDXFIRCVSCXGGBWKFNQDUXWFNFOZVSRTKJPREPGGXRPNRVY
STMWCYSYYCQPEVIKEFFMZNIMKKASVWSRENZKYCXFXTLSGYPSFADPOOEFXZBC
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EEDDPSZRNAVYMMTATBDZQSOEMUVNPPPSUACBAZUXMHECTHLEGRPUNKDMBPPW
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MTPJHAEFQZAAULDRCHJCCDYRFVVRIVUYEEGFIVDRCYGURQDREDAKUBNFGUPR
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WRXBZMQRLXVOBTWHXGINFGFRCCLMZNMJUGWWBSQFCIHUBSJOLLMSQSGHMCPH
ELSOTFLBGSFNPCUZSRUPCHYNVZHCPQUGRIWNIQXDFJPWPXFBLKPNPEELFJMT'''
s=s.split('\n')
ans=0
for i in range(1,29):
for j in range(1,59):
if s[i][j]<s[i-1][j] and s[i][j]<s[i+1][j] and s[i][j]<s[i][j-1] and s[i][j]<s[i][j+1] :
ans+=1
print(ans)
#运行结果：276
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