Problem:
Score : 400 points

Problem Statement

You are given integers N and M.

Consider a sequence a of length N consisting of positive integers such that a_1 + a_2 + ... + a_N = M. Find the maximum possible value of the greatest common divisor of a_1, a_2, ..., a_N.

Constraints

All values in input are integers.

1 \leq N \leq 10^5

N \leq M \leq 10^9

Input

Input is given from Standard Input in the following format:

N M

Output

Print the maximum possible value of the greatest common divisor of a sequence a_1, a_2, ..., a_N that satisfies the condition.

Sample Input 1

3 14

Sample Output 1

2

Consider the sequence (a_1, a_2, a_3) = (2, 4, 8). Their greatest common divisor is 2, and this is the maximum value.

Sample Input 2

10 123

Sample Output 2

3

Sample Input 3

100000 1000000000

Sample Output 3

10000

Solution in Pascal (FPC 2.6.2) (judge verdict: Accepted)

var
	n,m,ans,i,t:Longint;
begin
	read(n,m);
	i:=1;
	while i*i<=m do begin
		if m mod i=0 then begin
			t:=m div i;
			if(t>=n)and(ans<i)then ans:=i;
			if(i>=n)and(ans<t)then ans:=t;
		end;
		inc(i);
	end;
	writeln(ans);
end.