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 C# (.NET Core 3.1.201) (judge verdict: Wrong Answer)

using System;
using System.Text;
using System.Collections.Generic;
using System.Collections;
using static System.Math;
using System.Linq;
using static System.Array;

namespace ConsoleApp2
{
    class Program
    {

        static void Main(string[] args)
        {
            //var N = long.Parse(Console.ReadLine());
            var NM = Console.ReadLine().Split(' ').Select(x => long.Parse(x)).ToArray();
            var N = NM[0];
            var M = NM[1];
            var ans = 1L;
            for (long i = 1; i <= (long)Sqrt(M); i++)
            {
                if(M%i == 0 && M/i >= N)
                {
                    ans = i;
                }
            }


            Console.WriteLine(ans);
            

            
            
        }


    }


}