Problem:
Score: 200 points

Problem Statement

You are an immigration officer in the Kingdom of AtCoder. The document carried by an immigrant has some number of integers written on it, and you need to check whether they meet certain criteria.

According to the regulation, the immigrant should be allowed entry to the kingdom if and only if the following condition is satisfied:

All even numbers written on the document are divisible by 3 or 5.

If the immigrant should be allowed entry according to the regulation, output APPROVED; otherwise, print DENIED.

Notes

The condition in the statement can be rephrased as "If x is an even number written on the document, x is divisible by 3 or 5".
Here "if" and "or" are logical terms.

Constraints

All values in input are integers.

1 \leq N \leq 100

1 \leq A_i \leq 1000

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 \dots A_N

Output

If the immigrant should be allowed entry according to the regulation, print APPROVED; otherwise, print DENIED.

Sample Input 1

5
6 7 9 10 31

Sample Output 1

APPROVED

The even numbers written on the document are 6 and 10.

All of them are divisible by 3 or 5, so the immigrant should be allowed entry.

Sample Input 2

3
28 27 24

Sample Output 2

DENIED

28 violates the condition, so the immigrant should not be allowed entry.

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include  <iostream>
#include  <stdio.h>
#include <algorithm>
#include <map>
#include <math.h>

using namespace std;
#include <vector>
#define rep(i,n) for (int i = 0; i < (n) ; i++)
#define INF 1e9
#define llINF 1e18
#define base10_4 10000      //1e4
#define base10_5 100000     //1e5
#define base10_6 1000000    //1e6
#define base10_7 10000000   //1e7
#define base10_8 100000000  //1e8
#define base10_9 1000000000 //1e9

#define MOD 1000000007
#define pb push_back
#define ll long long
#define ull unsigned long long
#define vint vector<int>
#define vll vector<ll>

//#include <stack>
//#include <queue>

string ans_Yes = "Yes"; 
string ans_No = "No"; 
string ans_yes = "yes"; 
string ans_no = "no"; 

vll A;
ll B;
ll C;
ll N;
ll M;
ll K;

ll ltmp;
string stmp;
double dtmp;

int main(){

    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);

    cin >> N;
    string ans = "APPROVED";

    rep(ni,N){
        cin >> ltmp;
        if(ltmp%2==0){
            if(ltmp%3>0 && ltmp%5>0){
                ans = "DENIED";
            }
        }

    }    
    cout << ans << endl;

}