hdu2859 最大对称矩阵
Problem Description
Today is army day, but the servicemen are busy with the phalanx for the celebration of the 60th anniversary of the PRC.
A phalanx is a matrix of size n*n, each element is a character (a~z or A~Z), standing for the military branch of the servicemen on that position.
For some special requirement it has to find out the size of the max symmetrical sub-array. And with no doubt, the Central Military Committee gave this task to ALPCs.
A symmetrical matrix is such a matrix that it is symmetrical by the “left-down to right-up” line. The element on the corresponding place should be the same. For example, here is a 3*3 symmetrical matrix:
cbx
cpb
zcc
Input
There are several test cases in the input file. Each case starts with an integer n (0< n< =1000), followed by n lines which has n character. There won’t be any blank spaces between characters or the end of line. The input file is ended with a 0.
Output
Each test case output one line, the size of the maximum symmetrical sub- matrix.
Sample Input
3
abx
cyb
zca
4
zaba
cbab
abbc
cacq
0
Sample Output
3
3
dp[i][j] 表示以 (i,j) 为起始坐标的时候的最大对称矩阵大小
那么每一次dp[i][j] 都可以由 dp[i-1][j+1] 推出 只要满足条件即可
注意特殊情况一个字母的时候 输出1
#include <bits/stdc++.h> using namespace std; const int maxn=1e3+5; int n; char ma[maxn][maxn]; int dp[maxn][maxn]; void init(){ memset(dp,0,sizeof(dp)); } int main(){ while(~scanf("%d",&n)&&n){ init(); for(int i=0;i<n;i++){ scanf("%s",ma[i]); } int ans=1; //起初一定要为1 记为一个字母时候! for(int i=0;i<n;i++){ for(int j=n-1;j>=0;j--){ dp[i][j] = 1; if(i==0 || j==n-1) continue; int k=dp[i-1][j+1]; for(int s=1;s<=k;s++){ if(ma[i-s][j] == ma[i][j+s]) dp[i][j]++; else break; } ans=max(ans,dp[i][j]); } } // for(int i=0;i<n;i++){ // for(int j=0;j<n;j++){ // printf("%c ",ma[i][j]); // } // puts(""); // } // // for(int i=0;i<n;i++){ // for(int j=0;j<n;j++){ // printf("(%d%d)%d ",i,j,dp[i][j]); // } // puts(""); // } printf("%d\n",ans); } return 0; }