美文网首页
CodeForces 755A

CodeForces 755A

作者: 与卿__歌 | 来源:发表于2017-01-19 18:00 被阅读0次

    A - PolandBall and Hypothesis
    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.

    Input
    The only number in the input is n (1 ≤ n ≤ 1000) — number from the PolandBall's hypothesis.

    Output
    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.

    Example
    Input
    3
    Output
    1
    Input
    4
    Output
    2
    Note
    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 numbe
    题意找一个数和已知数相乘然后+1为非质数。
    思考:可以打表然后找;
    还可以用奇数乘一加1肯定为非质数。偶数乘自身减2然后+1得到(n-1)*(n-1)=非质数
    代码:

    #include<stdio.h>
    int main()
    {
        int n;
        while(scanf("%d",&n)!=EOF)
        {
        if(n==1)
        {
        printf("3\n");
        continue;
        }
        if(n==2)
        {
        printf("4\n");
            continue;}
        if(n%2==1)
        {
            printf("1\n");
        }
        else
        printf("%d\n",n-2);
    }
    } 
    

    相关文章

      网友评论

          本文标题:CodeForces 755A

          本文链接:https://www.haomeiwen.com/subject/ksjibttx.html