D

D - Mike and strings

Mike has n strings s₁, s₂, ..., s_n each consisting of lowercase English letters. In one move he can choose a string s_i, erase the first character and append it to the end of the string. For example, if he has the string "coolmike", in one move he can transform it into the string "oolmikec".

Now Mike asks himself: what is minimal number of moves that he needs to do in order to make all the strings equal?

Input

The first line contains integer n (1 ≤ n ≤ 50) — the number of strings.

This is followed by n lines which contain a string each. The i-th line corresponding to string s_i. Lengths of strings are equal. Lengths of each string is positive and don't exceed 50.

Output

Print the minimal number of moves Mike needs in order to make all the strings equal or print  - 1 if there is no solution.

Example

Input

4
xzzwo
zwoxz
zzwox
xzzwo

Output

5

Input

2
molzv
lzvmo

Output

2

Input

3
kc
kc
kc

Output

0

Input

3
aa
aa
ab

Output

-1
题意：输入一个整数n，然后输入n个长度相同的字符串，如果能通过循环位移使这n个字符串都相等，输出最小的操作次数，如果不能，输出-1；
题解：1.首先判断能不能通过循环位移使这n个字符串都相等
　　　　2.计算把第第1，2。。。n行字符串当模板使所有字符串都相等的操作次数
　　　　3.输出最小的值。
代码：

#include<iostream>
#include<string>
#include<algorithm>
#include<cstring>
#include<cstdlib>
using namespace std;
int main()
{
    string str[55];
    int i,j,n,ans[55],k,book=0;
    int x[55],b;
    cin>>n;string T,W;

    memset(x,0,sizeof(x));

    memset(ans,0,sizeof(ans));

    for(i=1;i<=n;i++)
    {
        cin>>str[i];
    }

    for(i=0;i<str[1].size();i++)
    {
        T="";
        for(j=i;j<str[1].size();j++)
            T+=str[1][j];
        for(j=0;j<i;j++)
            T+=str[1][j];
//判断是否可以通过转换换成相同的字符串
        for(j=2;j<=n;j++)
        {
            if(ans[j]==0)
            {
                if(T==str[j])
                {
                    ans[j]=1;
                }
            }
            else
                continue;
        }
    }

    for(i=2;i<=n;i++)
    {
        if(ans[i]==0)
        {
            book=1;
            break;
        }
    }

    int z;

    if(book==1)
        cout<<-1<<endl;

    else
        {
            for(i=1;i<=n;i++)
            {
                T=str[i];

                for(k=1;k<=n;k++)
                {
                    for(j=0;j<str[k].size();j++)
                    {
                        W="";
                    for(z=j;z<str[k].size();z++)
                        W+=str[k][z];
                    for(z=0;z<j;z++)
                        W+=str[k][z];
                    if(W==T)
                        {
                           b=j;
                           break;
                        }
                    }
                x[i]+=b;
                }
            }
            cout<<*min_element(x+1,x+1+n)<<endl;
        }
}