Beside other services, ACM helps companies to clearly state their “corporate identity”, which includes company logo but also other signs, like trademarks. One of such companies is Internet Building Masters (IBM), which has recently asked ACM for a help with their new identity. IBM do not want to change their existing logos and trademarks completely, because their customers are used to the old ones. Therefore, ACM will only change existing trademarks instead of creating new ones. 

After several other proposals, it was decided to take all existing trademarks and find the longest common sequence of letters that is contained in all of them. This sequence will be graphically emphasized to form a new logo. Then, the old trademarks may still be used while showing the new identity. 

Your task is to find such a sequence.

3
aabbaabb
abbababb
bbbbbabb
2
xyz
abc
0

abb
IDENTITY LOST

#include<iostream>
#include<algorithm>
#include<cstdio>
#include<vector>
#include <sstream>
#include<string>
#include<cstring>
#include<list>
using namespace std;
#define MAXN 202
#define INF 0x3f3f3f3f
#define N 4002
typedef long long LL;
/*
枚举第一个串的所有子串 找到就停止
*/
char s[N][MAXN];
int Next[MAXN];
void kmp_pre(char t[])
{
    int m = strlen(t);
    int j,k;
    j = 0;k = Next[0] = -1;
    while(j<m)
    {
        if(k==-1||t[j]==t[k])
            Next[++j] = ++k;
        else
            k = Next[k];
    }
}
bool KMP(char t[],char s[])
{
    int n = strlen(s),m=strlen(t);
    int i,j;
    j = 0;
    for(i=0;i<n;i++)
    {
        while(j>0&&s[i]!=t[j])
            j = Next[j];
        if(s[i]==t[j])
            j++;
        if(j>=m)
            return true;
    }
    return false;
}
int main()
{
    int n;
    while(scanf("%d",&n),n)
    {
        int len = INF,k=-1;
        for(int i=0;i<n;i++)
        {
            scanf("%s",s[i]);
            if(len>strlen(s[i]))
            {
                len = strlen(s[i]);
                k = i;
            }
        }
        bool f = false;
        char ans[MAXN];
        for(int l=len;l>0;l--)
        {
            for(int i=0;i+l<=len;i++)
            {
                char t[MAXN] = {0};
                strncpy(t,s[k]+i,l);
                kmp_pre(t);
                int j;
                //cout<<t<<endl;
                for(j=0;j<n;j++)
                {
                    if(j==k) continue;
                    if(KMP(t,s[j]))
                        continue;
                    else
                        break;
                }
                if(j==n)
                {
                    if(!f)
                    {
                        strcpy(ans,t);
                        f = true;
                    }
                    else
                    {
                        if(strcmp(ans,t)>0)
                            strcpy(ans,t);
                    }
                }
                if(f&&(i+l==len))
                {
                    printf("%s\n",ans);
                    i = INF;
                    l = -1;
                    break;
                }
            }
        }
        if(!f)
            printf("IDENTITY LOST\n");
    }
}

#include <stdio.h>
#include <string.h>

const int MAX_N = 4001;
const int MAX_CHS = 201;
const int ARR_SIZE = 26;
int N;
char res[MAX_CHS], dict[MAX_N][MAX_CHS];
short next[MAX_CHS];

inline int min(int a, int b) { return a < b ? a : b; }
inline int max(int a, int b) { return a > b ? a : b; }

void getNext(char *chs, int len)
{
    memset(next, 0, sizeof(short)*len);
    for (int i = 1, j = 0; i < len; )
    {
        if (chs[i] == chs[j]) next[i++] = ++j;
        else if (j > 0) j = next[j-1];
        else i++;
    }
}

int getLogestPre(char *chs, int len)
{
    getNext(chs, len);
    for (int i = 1; i < N; i++)
    {
        char *p = dict[i];
        int j = 0, tmp = 0;
        for (; *p && j < len; )
        {
            if (*p == chs[j])
            {
                p++, j++;
                tmp = max(tmp, j);
            }
            else if (j > 0) j = next[j-1];
            else p++;
        }
        len = tmp;
    }
    return len;
}

int main()
{
    while (scanf("%d", &N) && N)
    {
        getchar();    // don‘t forget to get rid of ‘\‘
        for (int i = 0; i < N; i++)
        {
            gets(dict[i]);
        }
        int len = strlen(dict[0]), ans = 0, pos = 0;
        for (int i = 0; i < len; i++)
        {
            int tmp = getLogestPre(dict[0]+i, len-i);
            if (tmp >= ans)
            {
                if (tmp > ans)
                {
                    ans = tmp;
                    pos = i;
                }
                else
                {
                    bool smaller = true;
                    for (int t = 0; t < ans; t++)
                    {
                        if (dict[0][pos+t] > dict[0][i+t]) break;
                        else if (dict[0][pos+t] < dict[0][i+t])
                        {
                            smaller = false;
                            break;
                        }
                    }
                    if (smaller) pos = i;
                }
            }
        }
        if (ans)
        {
            for (int i = 0; i < ans; i++)
            {
                putchar(dict[0][pos+i]);
            }
            putchar(‘\n‘);
        }
        else puts("IDENTITY LOST");
    }
    return 0;
}