uva 10405 Longest Common Subsequence
Sequence 1:
Sequence 2:
Given two sequences of characters, print the length of the longest common subsequence of both sequences. For example, the longest common subsequence of the following two sequences:
abcdgh aedfhr
is adh of length 3.
Input consists of pairs of lines. The first line of a pair contains the first string and the second line contains the second string. Each string is on a separate line and consists of at most 1,000 characters
For each subsequent pair of input lines, output a line containing one integer number which satisfies the criteria stated above. Sample input
a1b2c3d4e zz1yy2xx3ww4vv abcdgh aedfhr abcdefghijklmnopqrstuvwxyz a0b0c0d0e0f0g0h0i0j0k0l0m0n0o0p0q0r0s0t0u0v0w0x0y0z0 abcdefghijklmnzyxwvutsrqpo opqrstuvwxyzabcdefghijklmn
Output for the sample input
4 3 26 14
题目大意:最长公共子序列。解题思路:递推。;char s1[N], s2[N];int dp[N][N];int main() {while (gets(s1)) {gets(s2);int l1 = strlen(s1), l2 = strlen(s2);memset(dp, 0, sizeof(dp));for (int i = 1; i <= l1; i++) {for (int j = 1; j <= l2; j++) {if (s1[i – 1] == s2[j – 1]) {dp[i][j] = dp[i – 1][j – 1] + 1;}else {dp[i][j] = max(dp[i – 1][j], dp[i][j – 1]);}}}printf(“%d\n”, dp[l1][l2]);}return 0;}
,不求与人相比,但求超越自己,要哭就哭出激动的泪水,要笑就笑出成长的性格。