PAT (Advanced Level) Practise 1015 Reversible Primes (20)
2017-07-20 11:37
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1015. Reversible Primes (20)
时间限制400 ms
内存限制
65536 kB
代码长度限制
16000 B
判题程序
Standard
作者
CHEN, Yue
A reversible prime in any number system is a prime whose "reverse" in that number system is also a prime. For example in the decimal system 73 is a reversible prime because its reverse 37 is also a prime.
Now given any two positive integers N (< 105) and D (1 < D <= 10), you are supposed to tell if N is a reversible prime with radix D.
Input Specification:
The input file consists of several test cases. Each case occupies a line which contains two integers N and D. The input is finished by a negative N.
Output Specification:
For each test case, print in one line "Yes" if N is a reversible prime with radix D, or "No" if not.
Sample Input:
73 10 23 2 23 10 -2
Sample Output:
Yes Yes No
题意:给你一个数,将它转化为d进制后进行反转,然后再求出这个数为多少,若这个数和原数都为质数则输出Yes
#include <iostream>
#include <cstdio>
#include <cmath>
#include <cstring>
#include <algorithm>
#include <stack>
#include <queue>
#include <vector>
#include <map>
using namespace std;
const int INF=0x3f3f3f3f;
int a[1009];
int check(int x)
{
for(int i=2;i*i<=x;i++)
if(x%i==0) return 0;
return 1;
}
int mypow(int x,int y)
{
int sum=1;
for(int i=1;i<=y;i++)
sum*=x;
return sum;
}
int main()
{
int n,d;
while(~scanf("%d",&n)&&n>=0)
{
scanf("%d",&d);
if(check(n)==0||n==1) {printf("No\n");continue;}
int sum=0;
while(n)
{
a[sum++]=n%d;
n/=d;
}
int ans=0;
for(int i=0;i<=sum-1;i++)
{
int xx=a[i]*mypow(d,sum-1-i);
ans=ans+xx;
}
if(check(ans)&&ans!=1) printf("Yes\n");
else printf("No\n");
}
return 0;
}
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