Problem: We all know that a superhero can transform to certain other superheroes. But not all Superheroes can transform to any other superhero. A superhero with name s can transform to another superhero with name t if s can be made equal to t by changing any vowel in s to any other vowel and any consonant in s to any other consonant. Multiple changes can be made.

In this problem, we consider the letters 'a', 'e', 'i', 'o' and 'u' to be vowels and all the other letters to be consonants.

Given the names of two superheroes, determine if the superhero with name s can be transformed to the Superhero with name t.

Input

The first line contains the string s having length between 1 and 1000, inclusive.

The second line contains the string t having length between 1 and 1000, inclusive.

Both strings s and t are guaranteed to be different and consist of lowercase English letters only.

Output

Output "Yes" (without quotes) if the superhero with name s can be transformed to the superhero with name t and "No" (without quotes) otherwise.

You can print each letter in any case (upper or lower).

Examples

Input


a
u


Output


Yes


Input


abc
ukm


Output


Yes


Input


akm
ua


Output


No

Note

In the first sample, since both 'a' and 'u' are vowels, it is possible to convert string s to t.

In the third sample, 'k' is a consonant, whereas 'a' is a vowel, so it is not possible to convert string s to t.

Solution (in JAVA):

Solution:
import java.io.IOException;
import java.io.InputStream;
import java.math.BigInteger;
import java.util.InputMismatchException;

public class Main {

	public static void main(String[] args) {
		FastReader in = new FastReader(System.in);

		String s = in.nextString();
		String t = in.nextString();

		if (s.length() != t.length()) {
			System.out.println("No");
			return;
		}

		int n = s.length();

		for (int i = 0; i < n; i++) {
			boolean a = isVowel(s.charAt(i));
			boolean b = isVowel(t.charAt(i));

			if (a ^ b) {
				System.out.println("No");
				return;
			}
		}
		System.out.println("Yes");
	}

	private static boolean isVowel(char a) {
		return (a == 'a' || a == 'e' || a == 'i' || a == 'o' || a == 'u');
	}
}


class FastReader{
	private boolean finished = false;
 
	private InputStream stream;

	private byte[] buf = new byte[1024];
	private int curChar;
	private int numChars;
	private SpaceCharFilter filter;
 
	public FastReader(InputStream stream){
		this.stream = stream;
	}
 
	public int read(){
		if (numChars == -1){
			throw new InputMismatchException();
		}
		if (curChar >= numChars){
			curChar = 0;
			try{
				numChars = stream.read (buf);
			} catch (IOException e){
				throw new InputMismatchException ();
			}
			if (numChars <= 0){
				return -1;
			}
		}
		return buf[curChar++];
	}
 
	public int peek(){
		if (numChars == -1){
			return -1;
		}
		if (curChar >= numChars){
			curChar = 0;
			try{
				numChars = stream.read (buf);
			} catch (IOException e){
				return -1;
			}
			if (numChars <= 0){
				return -1;
			}
		}
		return buf[curChar];
	}
 
	public int nextInt(){
		int c = read ();
		while (isSpaceChar (c))
			c = read ();
		int sgn = 1;
		if (c == '-'){
			sgn = -1;
			c = read ();
		}
		int res = 0;
		do{
			if(c==','){
				c = read();
			}
			if (c < '0' || c > '9'){
				throw new InputMismatchException ();
			}
			res *= 10;
			res += c - '0';
			c = read ();
		} while (!isSpaceChar (c));
		return res * sgn;
	}
 
	public long nextLong(){
		int c = read ();
		while (isSpaceChar (c))
			c = read ();
		int sgn = 1;
		if (c == '-'){
			sgn = -1;
			c = read ();
		}
		long res = 0;
		do{
			if (c < '0' || c > '9'){
				throw new InputMismatchException ();
			}
			res *= 10;
			res += c - '0';
			c = read ();
		} while (!isSpaceChar (c));
		return res * sgn;
	}
 
	public String nextString(){
		int c = read ();
		while (isSpaceChar (c))
			c = read ();
		StringBuilder res = new StringBuilder ();
		do{
			res.appendCodePoint (c);
			c = read ();
		} while (!isSpaceChar (c));
		return res.toString ();
	}
 
	public boolean isSpaceChar(int c){
		if (filter != null){
			return filter.isSpaceChar (c);
		}
		return isWhitespace (c);
	}
 
	public static boolean isWhitespace(int c){
		return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
	}
 
	private String readLine0(){
		StringBuilder buf = new StringBuilder ();
		int c = read ();
		while (c != '\n' && c != -1){
			if (c != '\r'){
				buf.appendCodePoint (c);
			}
			c = read ();
		}
		return buf.toString ();
	}
 
	public String nextLine(){
		String s = readLine0 ();
		while (s.trim ().length () == 0)
			s = readLine0 ();
		return s;
	}
 
	public String nextLine(boolean ignoreEmptyLines){
		if (ignoreEmptyLines){
			return nextLine ();
		}else{
			return readLine0 ();
		}
	}
 
	public BigInteger nextBigInteger(){
		try{
			return new BigInteger (nextString ());
		} catch (NumberFormatException e){
			throw new InputMismatchException ();
		}
	}
 
	public char nextCharacter(){
		int c = read ();
		while (isSpaceChar (c))
			c = read ();
		return (char) c;
	}
 
	public double nextDouble(){
		int c = read ();
		while (isSpaceChar (c))
			c = read ();
		int sgn = 1;
		if (c == '-'){
			sgn = -1;
			c = read ();
		}
		double res = 0;
		while (!isSpaceChar (c) && c != '.'){
			if (c == 'e' || c == 'E'){
				return res * Math.pow (10, nextInt ());
			}
			if (c < '0' || c > '9'){
				throw new InputMismatchException ();
			}
			res *= 10;
			res += c - '0';
			c = read ();
		}
		if (c == '.'){
			c = read ();
			double m = 1;
			while (!isSpaceChar (c)){
				if (c == 'e' || c == 'E'){
					return res * Math.pow (10, nextInt ());
				}
				if (c < '0' || c > '9'){
					throw new InputMismatchException ();
				}
				m /= 10;
				res += (c - '0') * m;
				c = read ();
			}
		}
		return res * sgn;
	}
 
	public boolean isExhausted(){
		int value;
		while (isSpaceChar (value = peek ()) && value != -1)
			read ();
		return value == -1;
	}
 
	public String next(){
		return nextString ();
	}
 
	public SpaceCharFilter getFilter(){
		return filter;
	}
 
	public void setFilter(SpaceCharFilter filter){
		this.filter = filter;
	}
 
	public interface SpaceCharFilter{
		public boolean isSpaceChar(int ch);
	}
}