CF755A.PolandBall and Hypothesis

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题目描述

PolandBall is a young, clever Ball. He is interested in prime numbers. He has stated a following hypothesis: "There exists such a positive integer nn that for each positive integer mm number nm+1n·m+1 is a prime number".

Unfortunately, PolandBall is not experienced yet and doesn't know that his hypothesis is incorrect. Could you prove it wrong? Write a program that finds a counterexample for any nn .

输入格式

The only number in the input is nn ( 1<=n<=10001<=n<=1000 ) — number from the PolandBall's hypothesis.

输出格式

Output such mm that nm+1n·m+1 is not a prime number. Your answer will be considered correct if you output any suitable mm such that 1<=m<=1031<=m<=10^{3} . It is guaranteed the the answer exists.

输入输出样例

  • 输入#1

    3
    

    输出#1

    1
  • 输入#2

    4
    

    输出#2

    2

说明/提示

A prime number (or a prime) is a natural number greater than 11 that has no positive divisors other than 11 and itself.

For the first sample testcase, 31+1=43·1+1=4 . We can output 11 .

In the second sample testcase, 41+1=54·1+1=5 . We cannot output 11 because 55 is prime. However, m=2m=2 is okay since 42+1=94·2+1=9 , which is not a prime number.

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