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<bits/stdc++.h>
#define fastio ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define lli long long int
#define ulli unsigned long long int
#define ff first
#define ss second
#define mp make_pair
#define pb push_back
#define pf push_front
#define lb lower_bound
#define ub upper_bound
#define bs binary_search
#define loopl(i,a,b) for(lli i=a;i<b;i++) 
#define loop(i,a,b) for(int i=a;i<b;i++)
#define all(v) v.begin(), v.end()
#define mod 1000000007
#define mod2 1000000006
#define inf 1000000000000000000
#define lld long double
#define pll pair<long long int,long long int>
#define pii pair<int,int>
#define vll vector<lli>
#define vii vector<int>
#define is indexed_set
#define eps 0.000001
#define endl '\n'
#define mo 998244353
#define pi 3.141592653589793
 
using namespace std ;

const lli dx4[] = {-1, 0, 1, 0};
const lli dy4[] = {0, 1, 0, -1};
const lli dx8[] = {-1, 0, 1, 0, -1, -1, 1, 1};
const lli dy8[] = {0, 1, 0, -1, -1, 1, -1, 1};
 
typedef tree<pair<pll,lli>,null_type,less<pair<pll,lli>>,rb_tree_tag,
tree_order_statistics_node_update> indexed_set;
 
#define N 1000005

int main()
{
/////////////////////////////////////
    
    fastio;
 
/////////////////////////////////////  

    lli n;
    cin>>n;

    lli a[n];
    loopl(i,0,n) cin>>a[i];

    loopl(i,0,n)
    {
    	if(a[i]%2 == 0)
    	{
    		if(a[i]%3 !=0 && a[i]%5!=0)
    		{
    			cout<<"DENIED";
    			return 0;
    		}
    	}
    }

    cout<<"APPROVED";
}