Thursday, November 2, 2017

17A. Noldbach problem

/***

            Bismillahir Rahmanir Rahim
            Read the name of Allah, who created you!!!
            Author : Shah Newaj Rabbi Shishir
            Department of CSE, City University, Bangladesh.

***/

#include <bits/stdc++.h>
using namespace std;

#define sf scanf
#define pf printf
#define ssf sscanf
#define spf sprintf
#define fsf fscanf
#define fpf fprintf
#define fast ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0)
#define scase sf ("%d",&tc)
#define sn sf ("%d",&n)
#define whilecase while (tc--)
#define eof while (cin >> n)
#define forloop for (pos=1; pos<=tc; pos++)
#define arrayloop (i=0; i<n; i++)
#define cinstr cin >> str
#define getstr getline (cin,str)
#define pcase pf ("Case %d: ",pos)
#define pii pair <int,int>
#define pb push_back
#define in insert
#define llu unsigned long long
#define lld long long
#define U unsigned int
#define endl "\n"

const int MOD = 1000000007;
const int MAX = 1005;
bool prime[MAX];
vector <int> v;

int main (void)
{
    /*
    freopen ("input.txt","r",stdin);
    freopen ("output.txt","w",stdout);
    */
    int i,j,n,k,c,val;

    prime[0] = prime[1] = 0;
    v.pb(2);

    for (i=4; i<MAX; i+=2)
        prime[i] = true;

    for (i=3; i*i<=MAX; i+=2)
        if (!prime[i])
            for (j=i*i; j<=MAX; j+=2*i)
                prime[j] = true;

    for (i=3; i<MAX; i+=2)
        if (!prime[i])
            v.pb(i);

    while (sf ("%d %d",&n,&k) != EOF)
    {
        c = 0;

        for (i=0; v[i]<=n; i++)
        {
            val = v[i]-1;

            for (j=0; v[j]<(val/2); j++)
            {
                if (v[j]+v[j+1] == val)
                {
                    ++c;
                    break;
                }
            }
        }

        if (c >= k)
            pf ("YES\n");
        else
            pf ("NO\n");
    }

    return 0;
}

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