Problem link : UVa 543 - Goldbach's Conjecture
Solution :
#include<stdio.h>
#include<iostream>
#include<algorithm>
#include<math.h>
using namespace std;
bool Isp(int n)
{
int i,j;
if(n==1)
return 0;
if(n==2)
return 1;
if(n%2==0)
return 0;
int l=sqrt(n);
for(i=3;i<=l;i+=2)
{
if(n%i==0)
return 0;
}
return 1;
}
int main()
{
int a,b,i,m,n;
while(scanf("%d",&n)==1)
{
if(n==0)
break;
else if(n<6 && n>0)
{
printf("Goldbach's conjecture is wrong.\n");
continue;
}
a=0,b=0;
for(i=n-1;i>=n/2;i--)
{
if(Isp(i))
{
m=n-i;
if(Isp(m))
{
if(i%2==1 && m%2==1)
{
a=i;
b=m;
break;
}
}
}
}
if(a>0 && b>0 && a<=b)
printf("%d = %d + %d\n",n,a,b);
else if(a>0 && b>0 && b<a)
printf("%d = %d + %d\n",n,b,a);
else
printf("Goldbach's conjecture is wrong.\n");
}
return 0;
}
Solution :
#include<stdio.h>
#include<iostream>
#include<algorithm>
#include<math.h>
using namespace std;
bool Isp(int n)
{
int i,j;
if(n==1)
return 0;
if(n==2)
return 1;
if(n%2==0)
return 0;
int l=sqrt(n);
for(i=3;i<=l;i+=2)
{
if(n%i==0)
return 0;
}
return 1;
}
int main()
{
int a,b,i,m,n;
while(scanf("%d",&n)==1)
{
if(n==0)
break;
else if(n<6 && n>0)
{
printf("Goldbach's conjecture is wrong.\n");
continue;
}
a=0,b=0;
for(i=n-1;i>=n/2;i--)
{
if(Isp(i))
{
m=n-i;
if(Isp(m))
{
if(i%2==1 && m%2==1)
{
a=i;
b=m;
break;
}
}
}
}
if(a>0 && b>0 && a<=b)
printf("%d = %d + %d\n",n,a,b);
else if(a>0 && b>0 && b<a)
printf("%d = %d + %d\n",n,b,a);
else
printf("Goldbach's conjecture is wrong.\n");
}
return 0;
}
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