Problem: Tom loves vowels, and he likes long words with many vowels. His favorite words are vowelly words. We say a word of length k is vowelly if there are positive integers n and m such that n⋅ m = k and when the word is written by using n rows and m columns (the first row is filled first, then the second and so on, with each row filled from left to right), every vowel of the English alphabet appears at least once in every row and every column.

You are given an integer k and you must either print a vowelly word of length k or print -1 if no such word exists.

In this problem the vowels of the English alphabet are 'a', 'e', 'i', 'o' ,'u'.

Input

Input consists of a single line containing the integer k (1≤ k ≤ 10^4) — the required length.

Output

The output must consist of a single line, consisting of a vowelly word of length k consisting of lowercase English letters if it exists or -1 if it does not.

If there are multiple possible words, you may output any of them.

Examples

Input


7


Output


-1


Input


36


Output


agoeuioaeiruuimaeoieauoweouoiaouimae

Note

In the second example, the word "agoeuioaeiruuimaeoieauoweouoiaouimae" can be arranged into the following 6 × 6 grid:

<image>

It is easy to verify that every row and every column contain all the vowels.

Solution (in JAVA):

Solution:
//package codeforces;

import java.util.Scanner;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;
import java.util.HashMap;
import java.util.HashSet;
import java.util.Iterator;
import java.util.TreeMap;
import java.util.TreeSet;

import java.math.BigInteger;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;
import java.util.Stack;

public class q_1 {
	// Integer.bitCount(i); count no of 1 bit in a given number
	static Scanner scn = new Scanner(System.in);

	static class FastReader {
		BufferedReader br;
		StringTokenizer st;

		public FastReader() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}

		String next() {
			while (st == null || !st.hasMoreElements()) {
				try {
					st = new StringTokenizer(br.readLine());
				} catch (IOException e) {
					e.printStackTrace();
				}
			}
			return st.nextToken();
		}

		int nextInt() {
			return Integer.parseInt(next());
		}

		long nextLong() {
			return Long.parseLong(next());
		}

		double nextDouble() {
			return Double.parseDouble(next());
		}

		String nextLine() {
			String str = "";
			try {
				str = br.readLine();
			} catch (IOException e) {
				e.printStackTrace();
			}
			return str;
		}
	}

	static FastReader s = new FastReader();

	public static void main(String[] args) {
		/* TODO Auto-generated method stub */
		// System.out.format("%.10f", ans);char c = scn.next().charAt(0);

		int k = s.nextInt(), f1 = -1, f2 = -1;
		for (int i = 1; i <= Math.sqrt(k); i++) {
			if (k % i == 0) {
				if (i >= 5 && (k / i) >= 5) {
					f1 = i;
					f2 = k / i;
					break;
				}
			}
		}
		// System.out.println(f1+" "+f2);
		if (f1 == -1 || f2 == -1)
			System.out.println("-1");
		else {
			for (int n = 5; n <= k / n; n++) {
				if (k % n == 0) {
					int m = k / n;
					char[] s = new char[k];
					for (int i = 0; i < n; i++) {
						for (int j = 0; j < m; j++) {
							s[i * m + j] = "aeiou".charAt((i + j) % 5);
						}
					}
					System.out.println(s);
					return;
				}
			}
		}
	}
}

class pair {
	int x;
	int y;

	pair(int a, int b) {
		this.x = a;
		this.y = b;
		// this.z=c;

	}

	public int hashCode() {
		return x * 31 + y * 31;
	}

	public boolean equals(Object other) {
		if (this == other)
			return true;

		if (other instanceof pair) {
			pair pt = (pair) other;

			return pt.x == this.x && pt.y == this.y;
		} else
			return false;
	}
}

class sorting implements Comparator<pair> {
	@Override
	public int compare(pair o1, pair o2) {
		// TODO Auto-generated method stub
		int b = o1.y - o2.y;
		if (b == 0) {
			if (o1.x >= o2.x)
				return -1;
			else
				return 1;
		} else if (b > 0)
			return -1;
		else
			return 1;

	}

}