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 PyPy3 (2.4.0) (judge verdict: Runtime Error)

import string
s = input()
t = input()
l = []
alp = string.ascii_lowercase
G = dict([(alp[i],-1) for i in range(len(alp))])
for i in range(len(s)-1,-1,-1):
  l = [G.copy()] + l
  G[s[i]] = i
stG = G.copy()

cnt = 0
ind = 0
while ind < len(t): 
  if stG[t[ind]] == -1:
    cnt = -1
    break
  else:
    lind = stG[t[ind]]
    ind += 1
    while l[lind][t[ind]] != -1:   
      lind = l[lind][t[ind]]
      ind += 1
      if ind == len(t):
        break   
    if ind == len(t):
      break        
    cnt += 1

###    
if cnt != -1:      
  print(cnt*len(s)+stG[t[-1]]+1)
else:
  print(cnt)