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 Python (3.4.3) (judge verdict: Runtime Error)

N,M=map(int,input().split())
if M%N==0:
  print(M//N)
else:
  s=M//N
  if s<100000:
    ans=1
    while s!=1:
      if M%s==0:
        ans=s
        break
      s-=1
    print(ans)
  else:
    rM=M**(1/2)
    s=N
    ans=1
    while s<=rM:
      if M%s==0:
        ans=M//s
        break
      s+=1
    else:
      nya-n
    print(ans)