Problem:
Score : 200 points

Problem Statement

Takahashi's house has only one socket.

Takahashi wants to extend it with some number of power strips, each with A sockets, into B or more empty sockets.

One power strip with A sockets can extend one empty socket into A empty sockets.

Find the minimum number of power strips required.

Constraints

All values in input are integers.

2 \leq A \leq 20

1 \leq B \leq 20

Input

Input is given from Standard Input in the following format:

A B

Output

Print the minimum number of power strips required.

Sample Input 1

4 10

Sample Output 1

3

3 power strips, each with 4 sockets, extend the socket into 10 empty sockets.

Sample Input 2

8 9

Sample Output 2

2

2 power strips, each with 8 sockets, extend the socket into 15 empty sockets.

Sample Input 3

8 8

Sample Output 3

1

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<bits/stdc++.h>

#define hell                         1000000007
#define lcm(a,b)                     (a*b)/__gcd(a,b)
#define ll                           long long
#define vll                          vector<ll>
#define vi                           vector<int>
#define pll                          vector< pair<ll,ll> >
#define pb                           push_back
#define mp                           make_pair
#define all(v)                       v.begin(),v.end()
#define lbnd                         lower_bound
#define ubnd                         upper_bound
#define bs                           binary_search
#define F                            first
#define S                            second
#define rep(i,a,b)                   for(i=a;i<b;i++)
#define parr(a,n)                    for(ll it=0;it<n;it++) cout<<a[it]<<" ";cout<<endl;
#define pcont(a)                     for(auto it:a) cout<<it<<" ";cout<<endl;
#define ret(x)                       return cout<<x,0;
#define endl                           '\n'

/*constants*/
#define MAXN                         100005
#define PI                           3.14159265358979323846

/*debug*/
#define TRACE
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
    template <typename Arg1>void __f(const char* name, Arg1&& arg1){ std::cout << name << " : " << arg1 << '\n';}
    template <typename Arg1, typename... Args>void __f(const char* names, Arg1&& arg1, Args&&... args){const char* comma = strchr(names + 1, ','); std::cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);}
#else
#define trace(...)
#endif

using namespace std;


int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);cout.tie(NULL);
	
	ll i,j,n,m,k,cnt=0,ans=0,t=1;
	ll a,b;
	cin>>a>>b;
	if(b==1) ret(0)
	ans=a;
	cnt=1;
	if(ans>=b) ret(cnt);
	while(ans<b){
		ans=ans-1+a;
		cnt++;
	}
	// trace(ans,cnt);
	ret(cnt)
	
	return 0;
}