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Algorithms, Distributed System, Machine Learning

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Kinda similar with another palindrome DP from LeetCode. Feel it, it is a bottom-up DP - palindrome subsequence.

str = input()
slen = len(str)

dp = [[0 for x in range(slen)] for x in range(slen)] 

for clen in range(1, slen + 1):
    for i in range(0, slen - clen + 1):    
        if clen == 1:
            dp[i][i] = 1
        elif clen == 2:
            dp[i][i + 1] = 2 if str[i] == str[i+1] else 1
        else:
            if str[i] == str[i + clen - 1]:
                dp[i][i + clen - 1] = dp[i + 1][i + clen - 2] + 2
            else:
                dp[i][i + clen - 1] = max(dp[i + 1][i + clen - 2], dp[i + 1][i + clen - 1], dp[i][i + clen - 2])
        #print (str[i:i+clen], dp[i][i + clen - 1])

ret = 1
for i in range(0, slen - 1):    
    len1 = dp[0][i]    
    len2 = dp[i + 1][slen - 1]
    ret = max(ret, len1 * len2)
print (ret)
posted on 2015-03-20 01:15  Tonix  阅读(242)  评论(0编辑  收藏  举报