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.InputStreamReader;
import java.io.BufferedReader;
import java.util.*;
import java.math.*;
import java.io.*;
import java.text.*;

public class hacker
{  

    
    public static boolean[] sieve(long n)
    {
        boolean[] prime = new boolean[(int)n+1];
        Arrays.fill(prime,true);
        prime[0] = false;
        prime[1] = false;
        long m = (long)Math.sqrt(n);
        for(int i=2;i<=m;i++)
        {
            if(prime[i])
            {
                for(int k=i*i;k<=n;k+=i)
                {
                    prime[k] = false;
                }
            }
        }
        return prime;
    } 

    
    static long GCD(long a,long b)
    {
        if(a==0 || b==0)
        {
            return 0;
        }
        if(a==b)
        {
            return a;
        }
        if(a>b)
        {
            return GCD(a-b,b);
        }
        return GCD(a,b-a);
    }

    static long CountCoPrimes(long n)
    {
        long res = n;
        for(int i=2;i*i<=n;i++)
        {
            if(n%i==0)
            {
                while(n%i==0)
                {
                    n/=i;
                }
                res-=res/i;
            }
        }
        if(n>1)
        {
            res-=res/n;
        }
        return res;
    }


    //fastest way to find x**n
    static long modularExponentiation(long x,long n,long m)
    {
        long res = 1;
        while(n>0)
        {
            if(n%2==1)
            {
                res = (res*x)%m;
            }
            x =(x*x)%m;
            n/=2;
        }
        return res;
    }

    static long lcm(long a,long b)
    {
        return (a*b)/GCD(a,b);
    }

   
    static long pow(long a,long b)
    {
        long res = 1;
        while(b>0)
        {
            if((b&1)==1)
            {
                res *= a;
            }

            b >>= 1;
            a *=a;
        }
        return res;
    }

   static long modInverse(long A,long M)
   {
    return modularExponentiation(A,M-2,M);
   }
 
   

    

    static boolean prime(int n)
    {
        for(int i=2;i*i<=n;i++)
        {
            if(i%2==0 ||i%3==0)
            {
                return false;
            }
        }
        return true;
    }




   
   
  
    public static void main(String[] args) throws IOException
    {
      // = new PrintWriter("explicit.out");
        new hacker().run();
       
    }


    static int rev(int n)
    {
        int x=0;
        int num = 0;
        while(n>0)
        {
            x = n%10;
            num = num*10+x;
            n/=10;

        }
        return num;
    }


    static Scanner in = new Scanner(System.in);
    static void run() throws IOException
    {
        char[] c = si().toCharArray();
        char[] d = si().toCharArray();
        if(c.length!=d.length)
        {
           System.out.println("NO");
        }
        else
        {
            
            for(int i=0;i<c.length;i++)
            {
                if((c[i]=='a'||c[i]=='e'||c[i]=='i'||c[i]=='o'||c[i]=='u')&&(d[i]=='a'||d[i]=='e'||d[i]=='i'||d[i]=='o'||d[i]=='u'))
                {
                    continue;
                }
                else if((c[i]!='a'&&c[i]!='e'&&c[i]!='i'&&c[i]!='o'&&c[i]!='u')&&(d[i]!='a'&&d[i]!='e'&&d[i]!='i'&&d[i]!='o'&&d[i]!='u'))
                {
                   
                    continue;
                }
                else
                {
                    System.out.println("NO");
                    return;
                }
            }

            System.out.println("YES");
        }
    }
    
   

   
    

    
       
    

    
   
  



   

    static void printL(long a)
    {
        System.out.println(a);
    }
    static void printS(String s)
    {
        System.out.println(s);
    }


  
   
   
    static void swap(char c,char p)
    {
        char t = c;
        c = p;
        p = t;
    }

    static long max(long n,long m)
    {
        return Math.max(n,m);
    }
    static long min(long n,long m)
    {
        return Math.min(n,m);
    }

    static double nd() throws IOException
    {
        return Double.parseDouble(in.next());
    }
    static int ni() throws IOException
    {
        return Integer.parseInt(in.next());
    }

    static long nl() throws IOException
    {
        return Long.parseLong(in.next());
    }

    static String si() throws IOException
    {
        return in.next();
    }


  
   
    static int abs(int n)
    {
        return Math.abs(n);
    }

    static class Scanner 
    {
        StringTokenizer st;
        BufferedReader br;

        public Scanner(InputStream s){  br = new BufferedReader(new InputStreamReader(s));}

        public String next() throws IOException 
        {
            while (st == null || !st.hasMoreTokens()) 
            {
                st = new StringTokenizer(br.readLine());
            }
            return st.nextToken();
        }

        public int nextInt() throws IOException {return Integer.parseInt(next());}
        
        public long nextLong() throws IOException {return Long.parseLong(next());}

        public String nextLine() throws IOException {return br.readLine();}

        public boolean ready() throws IOException {return br.ready();}


    }

    
}

class pair implements Comparable<pair>
{
    long value;
    int index;
    public pair(long v,int i)
    {
        value = v;
        index = i;
    }

   
    public int compareTo(pair a)
    {
        return this.value>a.value?1:this.value<a.value?1:0;
    }

}