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: Wrong Answer)

import java.util.AbstractMap;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.HashMap;
import java.util.List;
import java.util.Scanner;

class Main {

    static final int MOD = 1000000007;

    public static void main(String[] args) throws Exception{
        Scanner sc = new Scanner(System.in);
        String s = sc.nextLine();
        String t = sc.nextLine();
        long ans = -1;
        int[] salp = new int[27];
        int[] talp = new int[27];
        char[] sr = s.toCharArray();
        char[] tr = t.toCharArray();
        HashMap<Character, ArrayList<Integer>> map = new HashMap<Character, ArrayList<Integer>>();

        for (int i = 0; i < sr.length; i++) {
            salp[sr[i] - 'a']++;
        }
        for (int i = 0; i < tr.length; i++) {
            talp[tr[i] - 'a']++;
            if (salp[tr[i] - 'a'] == 0) {
                System.out.println(ans);
                return;
            }

        }

        for (int i = 0; i < 27; i++) {
            if (talp[i] > 0) {
                map.put((char) ('a' + i), new ArrayList<Integer>());
            }
        }

        int pos = 0;
        // char[] fr = new char[100001];
        // int[] frp = new int[100001];
        for (int i = 0; i < sr.length; i++) {
            if (talp[sr[i] - 'a'] > 0) {
                map.get(sr[i]).add(i);
            }
        }
        for (int i = 0; i < sr.length; i++) {
            if (talp[sr[i] - 'a'] > 0) {
                map.get(sr[i]).add(i + sr.length);
            }
        }
        pos = 0;
        long rep = 0;

        for (int i = 0; i < tr.length; i++) {
            ArrayList<Integer> list = map.get(tr[i]);
            // System.out.println(Arrays.toString(list.toArray()));
            int ret = binary_search(pos, list);
            if (ret == -1)
                throw new Exception("not found");
            int pps = list.get(ret);
            // System.out.println(pps);
            if (pps >= sr.length) {
                rep++;
                pps -= sr.length;
            }
            pos = pps;
        }
        System.out.println(rep * sr.length + pos + 1);
    }

    // index が条件を満たすかどうか
    static boolean isOK(int index, int key, ArrayList<Integer> list) {
        if (list.get(index) >= key)
            return true;
        else
            return false;
    }

    // 汎用的な二分探索のテンプレ
    static int binary_search(int key, ArrayList<Integer> list) {
        int left = -1; // 「index = 0」が条件を満たすこともあるので、初期値は -1
        int right = (int) list.size(); // 「index = a.size()-1」が条件を満たさないこともあるので、初期値は a.size()
        /* どんな二分探索でもここの書き方を変えずにできる！ */
        while (right - left > 1) {
            int mid = left + (right - left) / 2;
            if (isOK(mid, key, list))
                right = mid;
            else
                left = mid;
        }
        /* left は条件を満たさない最大の値、right は条件を満たす最小の値になっている */
        return right;
    }
}