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/* *********************************************** Author :xianxingwuguan Created Time :2014/3/12 0:09:36 File Name :1.cpp ************************************************ */ #pragma comment(linker, "/STACK:102400000,102400000") #include <stdio.h> #include <iostream> #include <algorithm> #include <sstream> #include <stdlib.h> #include <string.h> #include <limits.h> #include <string> #include <time.h> #include <math.h> #include <queue> #include <stack> #include <set> #include <map> using namespace std; char s1[105],s2[105]; int dp[105][105];//dp[i][j]为i~j的刷法 int ans[105],i,j,k,len; int main() { while(~scanf("%s%s",s1,s2)){ len = strlen(s1); memset(dp,0,sizeof(dp)); for(j = 0; j<len; j++) for(i = j; i>=0; i--)//j为尾,i为头 { dp[i][j] = dp[i+1][j]+1;//先每个单独刷 for(k = i+1; k<=j; k++)//i到j中间所有的刷法 if(s2[i]==s2[k]) dp[i][j] = min(dp[i][j],(dp[i+1][k]+dp[k+1][j]));//i与k相同,寻找i刷到k的最优方案 } for(i = 0; i<len; i++)ans[i] = dp[0][i];//根据ans的定义先初始化 for(i = 0; i<len; i++){ if(s1[i] == s2[i])ans[i] = ans[i-1];//如果对应位置相等,这个位置可以不刷 else{ for(j = 0; j<i; j++)ans[i] = min(ans[i],ans[j]+dp[j+1][i]);//寻找j来分割区间得到最优解 } } printf("%d\n",ans[len-1]); } return 0; }
原文:http://blog.csdn.net/xianxingwuguan1/article/details/21055857