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 <iostream>
#include <iomanip>
#include <string>
#include <vector>
#include <algorithm>
#include <numeric>
#include <utility>
#include <sys/time.h>
#include <cmath>
#include <tuple>
#include <queue>
#include <bitset>

using namespace std;

string s;
string ns;

void solve(string S, string T) {
    s = T;
    int ans = 0;
    while (s.size() <= S.size()) {
        bool flag = false;
        int i = 0;
        for (char c : S) {
            if (s[i] == c) {
                i++;
                if (i >= s.size()) {
                    flag = true;
                    break;
                }
            }
        }
        if (flag == false) {
            std::cout << ans << std::endl;
            return;
        }
        ans++;
        ns = "";
        if((T.size()+1)*s.size() + T.size() > S.size()){
            break;
        }
        for (int i = 0; i < T.size(); i++) {
            ns += s;
            ns.push_back(T[i]);
        }
        ns += s;
        s = ns;
    }
    std::cout << ans << std::endl;
    return;
}

int main() {

    string S, T;

    std::cin >> S >> T;
    solve(S, T);

    return 0;
}

