P4170 [CQOI2007]涂色

#include<bits/stdc++.h>
using namespace std;
#define N 111
int f[N][N],n;
char ch[N];
signed main()
{
	memset(f,0x3f3f3f3f,sizeof(f));
	scanf("%s",ch+1);
	n=strlen(ch+1);
	for(int i=1; i<=n; i++)f[i][i]=1;
	for(int len=2; len<=n; len++)
	{
		for(int i=1; i+len-1<=n; i++)
		{
			int j=i+len-1;
			if(ch[i]==ch[j])
				f[i][j]=min(f[i-1][j],f[i][j-1]);
			else
			{
				for(int k=i; k<j; k++)
				{
					f[i][j]=min(f[i][j],f[i][k]+f[k+1][j]);
				}
			}
		}
	}
	cout<<f[1][n]<<endl;
	return 0;
}