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)

s = gets.chomp
t = gets.chomp

table = Array.new(s.length){{}}
last = {}
last.default = 0
first = {}
size = s.size
ss = s + s
1.upto(ss.size).each do |i|
  last[ss[i]].upto([i-1, size-1].min).each do |j|
    table[j][ss[i]] ||= i - j
  end
  last[ss[i]] = i
end

size.times do |i|
  first[s[i]] ||= i
end

unless first.has_key? t[0]
  puts -1
  exit
end
ans = first[t[0]]
(t.size-1).times do |i|
  unless first.has_key? t[i+1]
    puts -1
    exit
  end
  ans += table[ans%size][t[i+1]]
end

puts ans + 1