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
from collections import defaultdict
from bisect import bisect_left


def main():
	s = input()
	n = len(s)
	s = s + s
	t = input()
	if set(t) - set(s):
		print(-1)
		exit()
	d = defaultdict(list)
	for i in range(2 * n):
		d[s[i]] += [i]
	cur = ncnt = 0

	for c in t:
		x = d[c][bisect_left(d[c], cur)]
		if x < n:
			cur = x + 1
		else:
			cur = x - n + 1
			ncnt += 1
	print(ncnt*n + cur)


if __name__ == "__main__":
	main()
