03 November 2017

UVA 10948 The primary problem

/***
Md. Nazmul Hasan
Shahjalal University of Science & Technology,Sylhet.
hasan08sust@gmail.com
***/
#include<iostream>
#include<cstdio>
#include<stack>
#include<queue>
#include<map>
#include<vector>
#include<algorithm>
#include<cstring>
#include<sstream>
#include<cmath>
#include <iomanip>
using namespace std ;
typedef long long ll ;
typedef int in ;
typedef unsigned long long ull ;
const double pi = 2*acos(0) ;
#define maxi 1000001
#define pf printf
#define sc scanf
#define pb push_back
#define MEM(x,y) (memset((x),(y),sizeof(x)))
#define MIN(x,y) ((x) < (y) ? (x) : (y))
#define MAX(x,y) ((x) > (y) ? (x) : (y))
#define load(array,size) for(int i=0 ; i<size ; i++) cin>>array[i] ;
#define new_line pf("\n")
#define clear_data(array) memset(array,0,sizeof(array))
#define highest_int 2147483647
bool isPrime[maxi];
vector<int> data;
int x,n;
void sieve(){
memset(isPrime,true , sizeof(isPrime));
isPrime[0] = isPrime[1] = false;
for(int i=4 ; i<=maxi ; i+=2){
isPrime[i] = false;
}
for(int i=3 ; i*i<maxi ; i+=2){
if(isPrime[i]){
for(int j=i*i ; j<maxi ; j+=i+i)
isPrime[j] = false;
}
}
data.pb(2);
for(int i=3 ; i<maxi ; i+=2)
if(isPrime[i])
data.pb(i);
}
bool check(){
if(n%2 || n==4){
x =2 ;
return isPrime[n-x];
}
for(int i=1 ; i<data.size() && data[i]<=n/2 ; i++){
if(isPrime[n-data[i]]){
x = data[i];
return true;
}
}
return false;
}
int main()
{
sieve();
while(sc("%d",&n) && n){
pf("%d:\n",n);
if(check()){
pf("%d+%d\n",x,n-x);
}else{
pf("NO WAY!\n");
}
}
return 0;
}

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