Hdu5510 Bazinga

Description

Ladies and gentlemen, please sit up straight.

Don't tilt your head. I'm serious.

For \(n\) given strings \(S_{1},S_{2},\cdots,S_{n}\), labelled from \(1\) to \(n\), you should find the largest \(i (1 \le i \le n)\) such that there exists an integer \(j (1 \le j < i)\) and \(S_{j}\) is not a substring of \(S_{i}\).

A substring of a string \(S_{i}\) is another string that occurs in \(S_{i}\). For example, "ruiz" is a substring of "ruizhang", and "rzhang" is not a substring of "ruizhang".

Input

The first line contains an integer \(t\) \((1 \le t \le 50)\) which is the number of test cases.

For each test case, the first line is the positive integer \(n\) \((1\le n \le 500)\) and in the following n lines list are the strings \(S_{1},S_{2},\cdots,S_{n}\).

All strings are given in lower-case letters and strings are no longer than \(2000\) letters.

Output

For each test case, output the largest label you get. If it does not exist, output \(−1\).

Sample Input

4

5

ab

abc

zabc

abcd

zabcd

4

you

lovinyou

aboutlovinyou

allaboutlovinyou

5

de

def

abcd

abcde

abcdef

3

a

ba

ccc

Sample Output

Case #1: 4

Case #2: -1

Case #3: 4

Case #4: 3

开始做的姿势不对，想的是裸暴力或者什么ac自动机啊。。。。(I 'm so puny!!!)

其实这题正解就是暴力的剪枝，想如果\(S_{j}\)是\(S_{i}\)的子串(\(i > j\))，那么对于\(k > i\)，若\(S_{i}\)是\(S_{k}\)的子串，那么\(S_{j}\)一定也是\(S_{k}\)的子串;如果不是\(k\)就可以更新答案，那么也就说明只需要匹配\(i\)而不要匹配\(j\)，由此可以打个\(vis\)标记剪枝了。

#include<cstring>
#include<algorithm>
#include<cstdio>
#include<cstdlib>
using namespace std;

typedef long long ll;
#define maxn (510)
#define maxl (2010)
#define rhl (5000011)
#define xi (127)
int T,N,len[maxn],mi[maxl],pre[maxn][maxl],ans;
char s[maxl]; bool exist[maxn];

inline bool find(int a,int b)
{
	for (int i = len[b];i <= len[a];++i)
	{
		int key = pre[a][i]-(ll)pre[a][i-len[b]]*(ll)mi[len[b]]%rhl;
		if (key < 0) key += rhl; if (key == pre[b][len[b]]) return true;
	}
	return false;
}

int main()
{
	freopen("5510.in","r",stdin);
	freopen("5510.out","w",stdout);
	scanf("%d",&T); mi[0] = 1;
	for (int i = 1;i <= 2000;++i) mi[i] = (mi[i-1]*xi)%rhl;
	for (int Cas = 1;Cas <= T;++Cas)
	{
		printf("Case #%d: ",Cas);
		memset(exist,false,sizeof(exist));
		scanf("%d",&N); ans = 0;
		for (int i = 1;i <= N;++i)
		{
			scanf("%s",s+1); len[i] = strlen(s+1);
			for (int j = 1;j <= len[i];++j) pre[i][j] = (pre[i][j-1]*xi+s[j]-'a'+1)%rhl;
			for (int j = i-1;j;--j)
			{
				if (exist[j]) continue;
				if (find(i,j)) exist[j] = true; else ans = i;
			}
		}
		if (ans) printf("%d\n",ans); else puts("-1");
	}
	fclose(stdin); fclose(stdout);
	return 0;
}