poj 2185

时间:2021-08-08 00:12:35

http://poj.org/problem?id=2185

题意:求最小的模式块,使其无限扩展后包含给你的矩阵块(看别人题解才懂的题意);

分析:假设存在一个模式块可以满足上述条件,那么必然存在一个起点在(0,0)的模式块满足上述条件;

  对于每一行,我们找出所有可以满足条件的前缀记录下长度,那么满足所有行的最短的长度就是该模式块的宽r;

  对于模式块的长,我们把宽r的字符串压缩看出一个字符,然后再进行KMP,找出该字符串的最小循环串,即长l;

答案就是r * l;

 #include<cstdio>
#include<cstring>
#include<iostream>
#include<vector>
#include<cmath>
#include<algorithm>
#include<cmath>
#include<cstdlib>
using namespace std;
const int N = +;
int f[N];
void getFail(char *s,int f[]) {
int m = strlen(s);
f[] = -;
for (int i = ; i < m; i++) {
int j = f[i-];
while (j != - && s[j+] != s[i]) j = f[j];
if (s[j+] == s[i]) j++;
f[i] = j;
}
// for (int i = 0; i < m; i++) cout<<f[i]<<" ";cout<<endl;
}
int n,m;
char mz[N][];
int cnt[N];
int check(char *s,int x) {
int j = ;
for (int i = ; i < m; i++) {
if (s[i] != s[j]) return ;
j++;
if (j > x) j = ;
}
return ;
}
void solve(int r){
f[] = -;
for (int i = ; i < n; i++) {
int j = f[i-];
while (j != - && strcmp(mz[j+],mz[i])) j = f[j];
if (strcmp(mz[j+],mz[i]) == ) j++;
f[i] = j;
}
// for (int i = 0; i < n; i++) cout<<f[i]<<" ";cout<<endl;
printf("%d\n",(n - - f[n-]) * (r));
}
int main(){
// getFail("ababab",f);
while (~scanf("%d%d",&n,&m)) {
memset(cnt,,sizeof(cnt)); for (int i = ; i < n; i++) {
scanf("%s",mz[i]);
getFail(mz[i],f);
int j = m-;
while (j != -) {
// cout<<m - 1 - f[j]<<endl;
cnt[m - - f[j]]++;
j = f[j];
}
}
int r = ;
for (int i = ; i <= m; i++) if (cnt[i] == n) {
r = i; break;
}
for (int i = ; i < n; i++) {
mz[i][r] = ;
} solve(r);
}
return ;
}