You are given a number of case-sensitive strings of alphabetic characters, find the largest string X, such that either X, or its inverse can be found as a substring of any of the given strings. 

InputThe first line of the input file contains a single integer t (1 <= t <= 10), the number of test cases, followed by the input data for each test case. The first line of each test case contains a single integer n (1 <= n <= 100), the number of given strings, followed by n lines, each representing one string of minimum length 1 and maximum length 100. There is no extra white space before and after a string. 
OutputThere should be one line per test case containing the length of the largest string found. 
Sample Input

2
3
ABCD
BCDFF
BRCD
2
rose
orchid

Sample Output

2
2
#include<iostream>
#include<algorithm>
#include<cstdio>
#include<vector>
#include <sstream>
#include<string>
#include<cstring>
#include<list>
using namespace std;
#define MAXN 102
#define INF 0x3f3f3f3f
#define M 10007
typedef long long LL;
/*
枚举第一个串的所有子串 找到就停止
*/
char s[MAXN][MAXN];
int Next[MAXN];
void kmp_pre(char t[])
{
int m = strlen(t);
int j,k;
j = ;k = Next[] = -;
while(j<m)
{
if(k==-||t[j]==t[k])
Next[++j] = ++k;
else
k = Next[k];
}
}
bool KMP(char t[],char s[])
{
kmp_pre(t);
int n = strlen(s),m=strlen(t);
int i,j;
j = ;
for(i=;i<n;i++)
{
while(j>&&s[i]!=t[j])
j = Next[j];
if(s[i]==t[j])
j++;
if(j>=m)
return true;
}
return false;
}
int main()
{
int T,n;
scanf("%d",&T);
while(T--)
{
scanf("%d",&n);
for(int i=;i<n;i++)
scanf("%s",s[i]);
int len = strlen(s[]);
bool f = false;
for(int l=len;l>;l--)
{
for(int i=;i+l<=len;i++)
{
char t1[MAXN] = {},t2[MAXN] = {};
strncpy(t1,s[]+i,l);
for(int j=;j<l;j++)
t2[j] = t1[l--j];
int j;
//cout<<t1<<endl<<t2<<endl;
for(j=;j<n;j++)
{
if(KMP(t1,s[j])
||KMP(t2,s[j]))
continue;
else
break;
}
if(j==n)
{
f = true;
printf("%d\n",l);
i = INF;
l = -;
}
}
}
if(!f)
printf("0\n");
}
}

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