Primes Problem
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1978 Accepted Submission(s): 911
Problem Description
Given a number n, please count how many tuple(p1, p2, p3) satisfied that p1<=p2<=p3, p1,p2,p3 are primes and p1 + p2 + p3 = n.
Input
n(n≤10000).
Output
For each test case, print the number of ways.
Sample Input
3 9
Sample Output
0 2
#include<stdio.h>
#include<string.h>
#include<math.h>
#define N 10010
int p[N];
bool pp[N];
int pnum;
int getp()
{
int i,j;
memset(pp,false,sizeof(pp));
for(i=2;i<N;i++)
{
if(!pp[i])
p[pnum++]=i;
for(j=0;j<pnum&&p[j]*i<N;j++)
{
pp[p[j]*i]=true;
if(i%p[j]==0)
break;
}
}
pp[0]=pp[1]=true;
}
int main()
{
int n,m,i,j,k;
getp();
while(scanf("%d",&n)!=EOF)
{
int cnt=0;
for(i=0;p[i]<n;i++)
{
for(j=i;p[j]<n;j++)
{
if(!pp[n-p[i]-p[j]]&&(n-p[i]-p[j])>=p[j])
cnt++;
}
}
printf("%d\n",cnt);
}
return 0;
}