Given are two strings s and t consisting of lowercase English letters. Determine if there exists an integer i satisfying the following condition, and find the minimum such i if it exists.

* Let s' be the concatenation of 10^{100} copies of s. t is a subsequence of the string {s'}_1{s'}_2\ldots{s'}_i (the first i characters in s').

Constraints

* 1 \leq |s| \leq 10^5
* 1 \leq |t| \leq 10^5
* s and t consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:


s
t


Output

If there exists an integer i satisfying the following condition, print the minimum such i; otherwise, print `-1`.

Examples

Input

contest
son


Output

10


Input

contest
programming


Output

-1


Input

contest
sentence


Output

33
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<string>

using namespace std;

#define LL long long

string s,t;
LL pos,cnt;

int main() {
    cin>>s>>t;
    for(int i = 0 ; i < t.length() ; i++) {
        pos = s.find(t[i],pos);
        if(pos == -1) {
            pos = s.find(t[i],0);
            if(pos == -1) {
                puts("-1");
                return 0;
            }
            cnt++;
        }
        pos++;
    }
    LL ans = cnt * s.length() + pos;
    printf("%lld \n",ans);
    //system("pause");
    return 0;
}