Problem

Given the strings $ s $, $ t $.
First, let the string set $ A = $ {$ s $}, $ B = \ phi $.
At this time, I want to perform the following operations as much as possible.

operation

step1

Perform the following processing for all $ u ∊ A $.

1. From all subsequences of $ u $ (not necessarily contiguous), choose any one that is equal to $ t $. Let the indexes corresponding to $ u $ of the selected subsequence be $ z_1 $, $ z_2 $,…, $ z_ {| t |} $ (however, 1 $ \ le $ $ z_1 $ $ \ lt $ $ z_2). $$ \ lt $… $ \ lt $ $ z_ {| t |} $ $ \ le $ $ | u | $). If there is no such subsequence, the operation ends.


2. Divide the original string with the selected substring characters $ u_ {z_1} $, $ u_ {z_2} $,…, $ u_ {z_ {| t |}} $ and convert them to $ B $ to add.

For example, in the case of $ u = $ "abcdcd" and $ t = $ "ac", the following two division methods can be considered.
If you choose the first and third characters of $ u $, it will be split into "", "b" and "dcd".
If you choose the first and fifth characters of $ u $, it will be split into "", "bcd" and "d".


step2

Replace $ A $ with $ B $ and empty $ B $.
Increase the number of operations by 1.

Subsequence example

The subsequences of "abac" are {"", "a", "b", "c", "aa", "ab", "ac", "ba", "bc", "aac", "aba" "," abc "," bac "," abac "}.
"a" is a subsequence created by extracting the first or third character of "abac".
"ac" is a subsequence created by extracting the 1st and 4th characters of "abac" or the 3rd and 4th characters.

Constraints

The input satisfies the following conditions.

* 1 $ \ le $ $ | t | $ $ \ le $ $ | s | $ $ \ le $ $ 10 ^ 5 $
* Characters contained in the strings $ s $ and $ t $ are uppercase or lowercase letters of the alphabet

Input

The input is given in the following format.


$ s $
$ t $


The string $ s $ is given on the first line, and the string $ t $ is given on the second line.

Output

Output the maximum number of operations.

Examples

Input

AABABCAC
A


Output

2


Input

abaabbabaabaabbabbabaabbab
ab


Output

3


Input

AbCdEfG
aBcDeFg


Output

0
#include <bits/stdc++.h>
using namespace std;

#define rep(i,n) for(int i=0;i<(int)(n);i++)
#define repe(i,n) rep(i,(n)+1)
#define per(i,n) for(int i=(int)(n)-1;i>=0;i--)
#define pere(i,n) rep(i,(n)+1)
#define all(x) (x).begin(),(x).end()
#define SP <<" "<<
#define MOD 1000000007
#define IINF 1000000000
#define LINF 1000000000000000000

typedef long long LL;
typedef long double LD;

bool ok(string &s, string &t){
  int now=0;
  for(int i=0;i<s.length();i++){
    if(s[i]==t[now]){
      now++;
      if(now==t.length()) return true;
    }
  }
  return false;
}

int main(){
  string s,t;
  cin >> s >> t;
  vector<string> tt(100,"");
  for(int i=1;i<100;i++){
    tt[i]=tt[i-1];
    for(int j=0;j<t.length();j++){
      tt[i]+=string(1,t[j]);
      tt[i]+=tt[i-1];
      if(tt[i].length()>s.length()){
        cout << i-1 << endl;
        return 0;
      }
    }
    // cout << tt[i] << endl;
    if(!ok(s,tt[i])){
      cout << i-1 << endl;
      return 0;
    }
  }
  return 0;
}
