PAT(甲级)2019年春季考试 7-1 Sexy Primes (20 分)

我会带着你远行 2023-02-20 15:57 98阅读 0赞

Sexy primes are pairs of primes of the form (p, p+6), so-named since “sex” is the Latin word for “six”. (Quoted from http://mathworld.wolfram.com/SexyPrimes.html)

Now given an integer, you are supposed to tell if it is a sexy prime.

Input Specification:
Each input file contains one test case. Each case gives a positive integer N (≤10^8).

Output Specification:
For each case, print in a line Yes if N is a sexy prime, then print in the next line the other sexy prime paired with N (if the answer is not unique, output the smaller number). Or if N is not a sexy prime, print No instead, then print in the next line the smallest sexy prime which is larger than N.

Sample Input 1:

  1. 47

Sample Output 1:

  1. Yes
  2. 41

Sample Input 2:

  1. 21

Sample Output 2:

  1. No
  2. 23

题意

一个数x是“sexy prime”指的是x是质数且x-6或x+6也是质数。
给出一个数,判断这个数是不是“sexy prime”,如果是的话输出与这个数配对的另一个“sexy prime”,如果有多个就输出小的那个(也就是x-6),如果不是就输出最小的比这个数大的“sexy prime”。
代码

标题

题目未开放,代码没有在官网测试。

  1. //if顺序 int范围 if()判断
  2. #include <bits/stdc++.h>
  3. using namespace std;
  4. bool isPrime(int n){
  5. if(n<=1)return false;
  6. int sqr= (int)sqrt(1.0 * n);
  7. for(int i=2;i<=sqr;i++){
  8. if( n % i == 0)return false;
  9. }
  10. return true;
  11. }
  12. int main(){
  13. int n;
  14. scanf("%d",&n);
  15. if(isPrime(n-6)){
  16. printf("Yes\n");
  17. printf("%d",n-6);
  18. }else if(isPrime(n+6)){
  19. printf("Yes\n");
  20. printf("%d",n+6);
  21. }else{
  22. for(int i=n+1;i<=100000000;i++){
  23. if(isPrime(i-6)+isPrime(i+6)){
  24. printf("No\n");
  25. printf("%d",i);
  26. break;
  27. }
  28. }
  29. }
  30. return 0;
  31. }

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