Ivan's classes at the university have just finished, and now he wants to go to the local CFK cafe and eat some fried chicken.

CFK sells chicken chunks in small and large portions. A small portion contains 3 chunks; a large one — 7 chunks. Ivan wants to eat exactly x chunks. Now he wonders whether he can buy exactly this amount of chicken.

Formally, Ivan wants to know if he can choose two non-negative integers a and b in such a way that a small portions and b large ones contain exactly x chunks.

Help Ivan to answer this question for several values of x!

Input

The first line contains one integer n (1 ≤ n ≤ 100) — the number of testcases.

The i-th of the following n lines contains one integer xi (1 ≤ xi ≤ 100) — the number of chicken chunks Ivan wants to eat.

Output

Print n lines, in i-th line output YES if Ivan can buy exactly xi chunks. Otherwise, print NO.

Example

Input

2
6
5


Output

YES
NO

Note

In the first example Ivan can buy two small portions.

In the second example Ivan cannot buy exactly 5 chunks, since one small portion is not enough, but two small portions or one large is too much.
import java.util.*;
import java.io.*;
import java.math.*;

public class a {


    public static void main(String[] args) throws IOException {
        FastScanner in = new FastScanner(System.in);
        PrintWriter out = new PrintWriter(System.out);
        
        
        
        int n = in.nextInt();
outer:
        for (int i = 0; i < n; i++) {
            int x = in.nextInt();
            for (int y = 0; y <= x; y++) {
                int xx = x - y * 3;
                if (xx < 0) continue;
                if (xx % 7 == 0) {
                out.println("YES");
                    continue outer;
                }
            }
            out.println("NO");
        }
        
        
        
        
        out.close();
    }


    static Random rand = new Random();
    static void sort(int[] a) {
        int n = a.length;
        for (int i = a.length - 1; i > 0; i--) {
            int j = rand.nextInt(i + 1);
            int tmp = a[i];
            a[i] = a[j];
            a[j] = tmp;
        }
        Arrays.sort(a);
    }
    static void sort(long[] a) {
        int n = a.length;
        for (int i = a.length - 1; i > 0; i--) {
            int j = rand.nextInt(i + 1);
            long tmp = a[i];
            a[i] = a[j];
            a[j] = tmp;
        }
        Arrays.sort(a);
    }
    static void sort(double[] a) {
        int n = a.length;
        for (int i = a.length - 1; i > 0; i--) {
            int j = rand.nextInt(i + 1);
            double tmp = a[i];
            a[i] = a[j];
            a[j] = tmp;
        }
        Arrays.sort(a);
    }
    static long gcd(long a, long b) { return b == 0 ? a : gcd(b, a % b); }
    static long lcm(long a, long b) { return a / gcd(a, b) * b; }
    static long[] eEuclid(long a, long b) {
        if (b == 0) return new long[] { a, 1, 0 };
        long[] ans = eEuclid(b, a % b);
        long temp = ans[1] - ans[2] * (a / b);
        ans[1] = ans[2];  ans[2] = temp;
        return ans;
    }
    static long modInverse(long a, long m) {
        return ((eEuclid(a, m)[1] % m) + m) % m;
    }
    static class IntList {
        static int[] EMPTY = {};
        int[] a = EMPTY;
        int n = 0;
        void add(int v) {
            if (n >= a.length)
                a = Arrays.copyOf(a, (n << 2) + 8);
            a[n++] = v;
        }
        int get(int idx) {
            return a[idx];
        }
        int size() {
            return n;
        }
    }
    static class DisjointSet {
        int[] s, r;	
   	public DisjointSet(int n) {
            s = new int[n]; r = new int[n];
            for (int i = 0; i < n; i++) s[i] = i;
        }	
        public int find(int i) { return s[i] == i ? i : (s[i] = find(s[i])); }
	public void union(int a, int b) {
            if(r[a = find(a)] == r[b = find(b)]) r[a]++;
            if(r[a] >= r[b]) s[b] = a; else s[a] = b;
        }
    }
    static class FastScanner {
        BufferedReader br;
        StringTokenizer st;
        public FastScanner(InputStream i) {
            br = new BufferedReader(new InputStreamReader(i));
            st = new StringTokenizer("");
        }
        public String next() throws IOException {
            if(st.hasMoreTokens())
                return st.nextToken();
            else
                st = new StringTokenizer(br.readLine());
            return next();
        }
        public int nextInt() throws IOException {
            return Integer.parseInt(next());
        }
        public long nextLong() throws IOException {
            return Long.parseLong(next());
        }
        public double nextDouble() throws IOException {
            return Double.parseDouble(next());
        }
        public int[] nextOffsetIntArray(int n) throws IOException {
            int[] arr = new int[n];
            for (int i = 0; i < n; i++)
                arr[i] = nextInt() - 1;
            return arr;
        }
        public int[] nextIntArray(int n) throws IOException {
            int[] arr = new int[n];
            for (int i = 0; i < n; i++)
                arr[i] = nextInt();
            return arr;
        }
        public int[][] nextIntArray(int n, int m) throws IOException {
            int[][] arr = new int[n][m];
            for (int i = 0; i < n; i++)
                for (int j = 0; j < m; j++)
                    arr[i][j] = nextInt();
            return arr;
        }
        public long[] nextLongArray(int n) throws IOException {
            long[] arr = new long[n];
            for (int i = 0; i < n; i++)
                arr[i] = nextLong();
            return arr;
        }
        public long[][] nextLongArray(int n, int m) throws IOException {
            long[][] arr = new long[n][m];
            for (int i = 0; i < n; i++)
                for (int j = 0; j < m; j++)
                    arr[i][j] = nextLong();
            return arr;
        }
        public double[] nextDoubleArray(int n) throws IOException {
            double[] arr = new double[n];
            for (int i = 0; i < n; i++)
                arr[i] = nextDouble();
            return arr;
        }
        public double[][] nextDoubleArray(int n, int m) throws IOException {
            double[][] arr = new double[n][m];
            for (int i = 0; i < n; i++)
                for (int j = 0; j < m; j++)
                    arr[i][j] = nextDouble();
            return arr;
        }
        public char[][] nextCharArray(int n, int m) throws IOException {
            char[][] arr = new char[n][];
            for (int i = 0; i < n; i++)
                arr[i] = next().toCharArray();
            return arr;
        }
    }
}
