Strings of Impurity

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

inputFormat

Input

Input is given from Standard Input in the following format:

s t

outputFormat

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

样例

contest
sentence

33