#include <cstdio>
#include <iostream>
#include <cstring>
#include <vector>
#include <cmath>
using namespace std;
#define PMAX 1000010
bool ver[PMAX];
vector<int> plist;
int sieve(int lim) {
int i, j, k;
plist.clear();
plist.push_back(2);
for (int i=3 ; i<=lim ; i+=2) {
if (ver[i]==false) {
plist.push_back(i);
for (int j=3 ; i*j<=lim ; j+=2) {
ver[i*j] = true;
}
}
}
}
int main() {
sieve(PMAX);
int n;
while (scanf("%d",&n)==1) {
if (n == 0) break; // Program terminated
int a=-1, b=-1;
bool found = false;
for (int i=0 ; i<plist.size() && plist[i]<=n ; i++) {
a = n-plist[i];
b = plist[i];
if (a>1 && b>1 && (a&1) && (b&1) && ver[a] == false && ver[b] == false) {
found = true;
break;
}
}
if (found == true) {
printf("%d = %d + %d\n",n,b,a);
} else {
printf("Goldbach's conjecture is wrong.\n");
}
}
return 0;
}
Wednesday, March 19, 2014
[UVa] 543 - Goldbache's Conjecture
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