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hdu 1513

2024-08-02 07:25:12   210人阅读

#include<iostream>#include<cstdio>#include<cstring>#include<cmath>#include<string>#include<algorithm>#include<cstdlib>#include<queue>#include<vector>#include<set>using namespace std;int n,dp[2][5010];char s1[5010],s2[5010];int main(){while(scanf("%d",&n)!=EOF){getchar(); scanf("%s",s1);for(int i=0;i<n;i++)s2[i]=s1[n-i-1];memset(dp,0,sizeof(dp));for(int i=1;i<=n;i++)for(int j=1;j<=n;j++){if(s1[i-1]==s2[j-1]){dp[i%2][j]=dp[(i-1)%2][j-1]+1;}elsedp[i%2][j]=max(dp[(i-1)%2][j],dp[i%2][j-1]);}printf("%d\n",n-dp[n%2][n]);}return 0;}

　　

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Palindrome

Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 3240    Accepted Submission(s): 1121


Problem Description
A palindrome is a symmetrical string, that is, a string read identically from left to right as well as from right to left. You are to write a program which, given a string, determines the minimal number of characters to be inserted into the string in order to obtain a palindrome. 

As an example, by inserting 2 characters, the string "Ab3bd" can be transformed into a palindrome ("dAb3bAd" or "Adb3bdA"). However, inserting fewer than 2 characters does not produce a palindrome.
 

Input
Your program is to read from standard input. The first line contains one integer: the length of the input string N, 3 <= N <= 5000. The second line contains one string with length N. The string is formed from uppercase letters from ‘A‘ to ‘Z‘, lowercase letters from ‘a‘ to ‘z‘ and digits from ‘0‘ to ‘9‘. Uppercase and lowercase letters are to be considered distinct.
 

Output
Your program is to write to standard output. The first line contains one integer, which is the desired minimal number.
 

Sample Input
5Ab3bd
 

Sample Output
2
 

Source
IOI 2000
 

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