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 Ruby (2.3.3) (judge verdict: Time Limit Exceeded)

def strings_of_impurity(s, t)
  s_char_pos = Hash.new { |h, k| h[k] = [] }
  s.each_char.with_index do |c, i|
    s_char_pos[c] << i
  end

  next_pos = ->(char, cur_pos) {
    return -1 unless s_char_pos.has_key?(char)
    times = cur_pos / s.size
    offset = cur_pos % s.size

    pos = times * s.size
    s_char_pos[char].each do |p|
      return pos + p if cur_pos < pos + p
    end

    pos = (times + 1) * s.size
    s_char_pos[char].each do |p|
      return pos + p if cur_pos < pos + p
    end
  }

  pos = -1
  t.each_char do |c|
    pos = next_pos.call(c, pos)
    return -1 if pos == -1
  end
  pos + 1
end

s = gets.chomp
t = gets.chomp
puts strings_of_impurity(s, t)