UVA - 11584 Partitioning by Palindromes

题意:输入一个有小写字母组成的字符串,你的任务是将它划分成尽量少的回文串

思路:dp[i]代表到第i位的最小值,枚举它的前几位求出最小值,为了方便枚举整个长度我们 从str[1]开始输入

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int MAXN = 2000;

char str[MAXN];
int dp[MAXN];

int check(int l,int r){
    int flag = 1;
    for (int i = 0; i < (r-l)/2+1; i++)
        if (str[l+i] != str[r-i]){
            flag = 0;
            break;
        }
    return flag;
}

int main(){
    int t;
    scanf("%d",&t);
    while (t--){
        str[0] = '0';
        scanf("%s",str+1);
        dp[0] = 0;
        int len = strlen(str) - 1;
        for (int i = 1; i <= len; i++){
            int Min = 0x3f3f3f3f,temp;
            for (int j = 0; j < i; j++){
                if (check(j+1,i))
                    temp = dp[j] + 1;
                else temp = dp[j] + i - j;
                Min = min(Min,temp);
            }
            dp[i] = Min;
        }
        printf("%d\n",dp[len]);
    }
    return 0;
}


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