# HDU Palindrome subsequence（区间DP）

Palindrome subsequence

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/65535 K (Java/Others) Total Submission(s): 2836 Accepted Submission(s): 1160

Problem Description In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence

```//
//  main.cpp
//  区间dp 1001
//
//  Created by 陈永康 on 16/2/28.
//
#include <iostream>
#include <string.h>
#include <stdlib.h>
#include <math.h>
#include <algorithm>

using namespace std;
char a[1005];
int dp[1005][1005];
int main()
{
int t;
scanf("%d",&t);
int cas=0;
while(t--)
{
scanf("%s",a+1);
int len=strlen(a+1);
memset(dp,0,sizeof(dp));
for(int i=1;i<=len;i++)
dp[i][i]=1;
for(int l=1;l<len;l++)
{
for(int i=1;i+l<=len;i++)
{
int j=i+l;

dp[i][j]=(dp[i+1][j]+dp[i][j-1]-dp[i+1][j-1]+10007)%10007;
if(a[i]==a[j])
dp[i][j]=(dp[i][j]+dp[i+1][j-1]+1+10007)%10007;
//dp[i][j]%=10007;
}
}
printf("Case %d: %d\n",++cas,dp[1][len]);
}
return 0;
}```

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