9-7

#define _CRT_SECURE_NO_WARNINGS 

#include <cstdio>
#include <cstring>
#include <algorithm>
#include <numeric>

using namespace std;

int T;
char str[1005];
int len;
int s[1005][1005]; // s[i][j] == 1 --> str[i..j] is palindrome
int d[1005];

#define INF 10000

// 
void setPalindrome(int left, int right, int len)
{
    int l = left, r = right;
    while (l >= 0 && r < len && str[l] == str[r]){
        s[l][r] = 1;
        l--; r++;
    }
}

/*
这种做法会超时,类似矩形连乘,O(n*n*n)

void setPalindrome(int left, int right, int len)
{
    int l = left, r = right;
    while (l >= 0 && r < len && str[l] == str[r]){
        d[l][r] = 1;
        l--; r++;
    }
}

int dp(int i, int j)
{
    if (d[i][j] > 0)
        return d[i][j];

    d[i][j] = INF;
    for (int k = i; k < j; k++){
        d[i][j] = min(d[i][j], dp(i, k) + dp(k + 1, j));
    }

    return d[i][j];
}

int main()
{

    scanf("%d", &T);
    while (T--){
        scanf("%s", str);
        len = strlen(str);

        memset(d, 0, sizeof(s));

        for (int i = 0; i < len; i++){
            setPalindrome(i, i, len); // center is str[i]
            setPalindrome(i, i + 1, len); // center is between str[i] and str[i+1]
        }

        printf("%d\n", dp(0, len - 1));
    }

    return 0;
}
*/

int main()
{


    scanf("%d", &T);
    while (T--){
        scanf("%s", str);
        len = strlen(str);

        memset(s, 0, sizeof(s));

        for (int i = 0; i < len; i++){
            setPalindrome(i, i, len); // center is str[i]
            setPalindrome(i, i + 1, len); // center is between str[i] and str[i+1]
        }

        for (int j = 0; j < len; j++){
            d[j] = INF;
            for (int i = 0; i <= j; i++){
                if (s[i][j]){
                    if (i == 0){
                        d[j] = 1;
                        break;
                    }
                    else
                        d[j] = min(d[j], d[i - 1] + 1);
                }
            }
        }

        printf("%d\n", d[len - 1]);
    }

    return 0;
}

 

posted @ 2016-09-01 09:46  PatrickZhou  阅读(152)  评论(0编辑  收藏  举报