CF755A.PolandBall and Hypothesis
入门
通过率:0%
时间限制:2.00s
内存限制:256MB
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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 n that for each positive integer m number n·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 n.
PolandBall 是一个年轻而聪明的小球,他对质数很感兴趣。他提出了如下假设:“存在某个正整数 n,使得对任意正整数 m,数 n⋅m+1 均为质数”。
不幸的是,PolandBall 的经验尚浅,尚未意识到该假设是错误的。你能证明它不成立吗?请编写一个程序,对任意给定的 n,找出一个反例。
输入格式
The only number in the input is n (1 ≤ n ≤ 1000) — number from the PolandBall's hypothesis.
输入中唯一的数字是 n(1 ≤ n ≤ 1000)——即 PolandBall 假设中的那个数。
输出格式
Output such m that n·m + 1 is not a prime number. Your answer will be considered correct if you output any suitable m such that 1 ≤ m ≤ 103. It is guaranteed the the answer exists.
输出一个满足 n⋅m+1 不是质数的 m。只要输出任意一个满足 1≤m≤103 的合适 m,你的答案即被视为正确。题目保证这样的 m 一定存在。
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 1 that has no positive divisors other than 1 and itself.
For the first sample testcase, 3·1 + 1 = 4. We can output 1.
In the second sample testcase, 4·1 + 1 = 5. We cannot output 1 because 5 is prime. However, m = 2 is okay since 4·2 + 1 = 9, which is not a prime number.
质数(或素数)是指大于 1 的自然数,且除了 1 和它本身之外没有其他正因数。
对于第一个样例测试用例,3⋅1+1=4,因此我们可以输出 1。
对于第二个样例测试用例,4⋅1+1=5。我们不能输出 1,因为 5 是质数。然而,m=2 是可行的,因为 4⋅2+1=9,而 9 不是质数。
输入解题思路,AI测评打分。不知道怎么写?