1804.Fake NP

Time Limit: 1s Memory Limit: 256MB

Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.

You are given l and r. For all integers from l to r, inclusive, we wrote down all of their integer divisors except 1. Find the integer that we wrote down the maximum number of times.

Solve the problem to show that it's not a NP problem.

Input Format(From the terminal/stdin)

The first line contains two integers l and r (2 \le l \le r \le 109).

Output Format(To the terminal/stdout)

Print single integer, the integer that appears maximum number of times in the divisors.

If there are multiple answers, print any of them.

Sample Input 1

Copy
19 29
  ·  \n

Sample Output 1

Copy
2
 \n

Sample Input 2

Copy
3 6
 · \n

Sample Output 2

Copy
3
 \n

Hints

Definition of a divisor: https://www.mathsisfun.com/definitions/divisor-of-an-integer-.html

The first example: from 19 to 29 these numbers are divisible by 2: {20,22,24,26,28}.

The second example: from 3 to 6 these numbers are divisible by 3: {3,6}.

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