Problem:
Score : 500 points

Problem Statement

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').

Notes

A subsequence of a string a is a string obtained by deleting zero or more characters from a and concatenating the remaining characters without changing the relative order. For example, the subsequences of contest include net, c, and contest.

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.

Sample Input 1

contest
son

Sample Output 1

10

t = son is a subsequence of the string contestcon (the first 10 characters in s' = contestcontestcontest...), so i = 10 satisfies the condition.

On the other hand, t is not a subsequence of the string contestco (the first 9 characters in s'), so i = 9 does not satisfy the condition.

Similarly, any integer less than 9 does not satisfy the condition, either. Thus, the minimum integer i satisfying the condition is 10.

Sample Input 2

contest
programming

Sample Output 2

-1

t = programming is not a substring of s' = contestcontestcontest.... Thus, there is no integer i satisfying the condition.

Sample Input 3

contest
sentence

Sample Output 3

33

Note that the answer may not fit into a 32-bit integer type, though we cannot put such a case here.

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Time Limit Exceeded)

import java.util.ArrayList;
import java.util.List;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		String s_str = sc.nextLine();
		char[] s = s_str.toCharArray();
		char[] t = sc.nextLine().toCharArray();

		List<List<Integer>> t_idx_list = new ArrayList<>();
		for (int i = 0; i < t.length; i++) {
			t_idx_list.add(new ArrayList<>());
			for (int j = 0; j < s.length; j++) {
				if (t[i] == s[j]) {
					t_idx_list.get(i).add(j);
				}
			}
		}
		for (List<Integer> t_idx : t_idx_list) {
			if (t_idx.isEmpty()) {
				System.out.println(-1);
				return;
			}
		}

		int s_idx = 0, t_idx = 0;
		long ans = 0;
		while (true) {
			if (s[s_idx] == t[t_idx]) {
				t_idx++;
			}
			if (t_idx == t.length) {
				break;
			}

			int next = s.length;
			for (int idx : t_idx_list.get(t_idx)) {
				if (idx > s_idx) {
					next = Math.min(next, idx);
				}
				else {
					next = idx;
				}
			}

			if (next > s_idx) {
				ans += next - s_idx;
			}
			else {
				ans += s.length - s_idx + next;
			}
			s_idx = next;
		}

		System.out.println(ans + 1);
	}
}