最长公共子序列-滚动数组优化

朴素写法:

for (int i = 1; i <= len1; i++)
{
    for (int j = 1; j <= len2; j++)
    {
            if (str1[i-1] == str2[j-1]) dp[i][j] = dp[i-1][j-1] + 1else dp[i][j] = max(dp[i-1][j],dp[i][j-1]);
    }
}
printf("%d\n",dp[len1][len2]);

滚动数组优化:

int flag = 0;
for (int i = 1; i <= len1; i++)
{
    flag = 1-flag;//如此操作后,flag相当于i,1-flag相当于i-1
    for (int j = 1; j <= len2; j++)
    {
            if (str1[i-1] == str2[j-1]) dp[flag][j] = dp[1-flag][j-1] + 1else dp[i][j] = max(dp[1-flag][j],dp[flag][j-1]);
    }
}
printf("%d\n",dp[flag][len2]);//最后输出的是dp[flag][len2],因为flag表示的是最新的i,也就是dp[len1][len2]。
                              //而1-flag是倒数第二个i,也就是dp[len1-1][len2];

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转载自blog.csdn.net/bpdwn2017/article/details/79872792