区间DP UVA 10739 String to Palindrome

时间:2023-03-09 03:04:13
区间DP UVA 10739 String to Palindrome

题目传送门

 /*
题意:三种操作,插入,删除,替换,问最少操作数使得字符串变成回文串
区间DP:有一道类似的题,有点不同的是可以替换,那么两端点不同的时候可以替换掉一个后成回文,
即dp[j+1][k-1] + 1,还有这道题没有要求打印
*/
/************************************************
* Author :Running_Time
* Created Time :2015-8-17 15:45:22
* File Name :UVA_10739.cpp
************************************************/ #include <cstdio>
#include <algorithm>
#include <iostream>
#include <sstream>
#include <cstring>
#include <cmath>
#include <string>
#include <vector>
#include <queue>
#include <deque>
#include <stack>
#include <list>
#include <map>
#include <set>
#include <bitset>
#include <cstdlib>
#include <ctime>
using namespace std; #define lson l, mid, rt << 1
#define rson mid + 1, r, rt << 1 | 1
typedef long long ll;
const int MAXN = 1e3 + ;
const int INF = 0x3f3f3f3f;
const int MOD = 1e9 + ;
int dp[MAXN][MAXN];
char str[MAXN]; int work(void) {
memset (dp, , sizeof (dp));
int len = strlen (str);
for (int i=; i<=len; ++i) {
for (int j=; j+i-<len; ++j) {
int k = j + i - ;
int &res = dp[j][k] = INF;
if (str[j] == str[k]) res = dp[j+][k-];
res = min (res, min (dp[j+][k], min (dp[j][k-], dp[j+][k-])) + );
}
}
return dp[][len-];
} int main(void) { //UVA 10739 String to Palindrome
int T, cas = ; scanf ("%d", &T);
while (T--) {
scanf ("%s", str);
printf ("Case %d: %d\n", ++cas, work ());
} return ;
}