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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.List;
import java.util.StringTokenizer;

public class CodeForces {
    class FastScanner {
        StringTokenizer tok = new StringTokenizer("");
        BufferedReader in;

        FastScanner() {
            in = new BufferedReader(new InputStreamReader(System.in));
        }

        String next() throws IOException {
            while (!tok.hasMoreElements())
                tok = new StringTokenizer(in.readLine());
            return tok.nextToken();
        }
        int nextInt() throws IOException {
            return Integer.parseInt(next());
        }
    }

    public class FirstTask {
        List<String> sequences = new ArrayList<>();
        public void read() throws IOException {
            FastScanner fastScanner = new FastScanner();
            int q = fastScanner.nextInt();
            for (int i=0; i<q; i++) {
                fastScanner.nextInt();
                sequences.add(fastScanner.next());
            }
        }

        public List<String> solve(String s) {
            List<String> resultArray = new ArrayList<>();
            String num = Character.toString(s.charAt(0));
            int length = s.toCharArray().length;
            int i = 1;
            int j = 2;
            int difference;
            if (length == 2) {
                if (s.charAt(0) < s.charAt(1)) {
                    resultArray.add(num);
                    num = Character.toString(s.charAt(1));
                }
            } else {
                while (i < length) {
                    if (j >= length) {
                        num = num.concat(s.substring(i, length));
                        break;
                    }
                    while (isFirstNumberStringGreaterOrEqual(num, s.substring(i, j))) {
                        j++;
                    }
                    resultArray.add(num);
                    num = s.substring(i, j);

                    difference = j - i;
                    i = j;
                    j += difference;
                }
            }
            resultArray.add(num);
            return resultArray;
        }

        private boolean isFirstNumberStringGreaterOrEqual(String a, String b) {
            int lengthA = a.length();
            int lengthB = b.length();
            if (lengthA > lengthB) {
                return true;
            } else if (lengthA < lengthB) {
                return false;
            } else {
                for (int i = 0; i < lengthA; i++) {
                    if (a.charAt(i) > b.charAt(i)) {
                        return true;
                    } else if (a.charAt(i) < b.charAt(i)) {
                        return false;
                    }
                }
            }
            return true;
        }

        public List<String> newSolve(String s) {
            List<String> resultArray = new ArrayList<>();
            int length = s.toCharArray().length;
            if (!(length == 2 && (Integer.parseInt(s.substring(0,1)) >=  Integer.parseInt(s.substring(1,2))))) {
                resultArray.add(s.substring(0,1));
                resultArray.add(s.substring(1,length));
            }
            return resultArray;
        }

        public void print(List<String> resultArray) {
            if (resultArray.size() == 1) {
                System.out.println("NO");
            } else {
                System.out.println("YES");
                System.out.println(resultArray.size());
                for (int i=0; i< resultArray.size(); i++) {
                    System.out.print(resultArray.get(i));
                    if (i != resultArray.size()-1) {
                        System.out.print(" ");
                    }
                }
                System.out.println();
            }
        }
    }

    public class SecondTask {
        public List<Long> solve() throws IOException {
            FastScanner fastScanner = new FastScanner();
            List<Long> resultList = new ArrayList<>();
            int n = fastScanner.nextInt();
            for (int i=0; i<n; i++) {
                long times = Long.parseLong(fastScanner.next());
                long sum = Long.parseLong(fastScanner.next());
                long result = sum + 9*(times-1);
                resultList.add(result);
            }
            return resultList;
        }
    }

    public class NewFirstTask {
        String s;
        String t;

        List<Character> vowels = new ArrayList<>();

        public void read() throws IOException {
            vowels.add('a');
            vowels.add('e');
            vowels.add('i');
            vowels.add('o');
            vowels.add('u');

            FastScanner fastScanner = new FastScanner();
            s = fastScanner.next();
            t = fastScanner.next();
        }

        public void solve() {
            if (s.length() != t.length()) {
                System.out.println("NO");
                return;
            }
            else {
                for (int i=0; i<s.length(); i++) {
                    if ((vowels.contains(s.charAt(i)) && !vowels.contains(t.charAt(i))) ||
                            (!vowels.contains(s.charAt(i)) && vowels.contains(t.charAt(i)))) {
                        System.out.println("NO");
                        return;
                    }
                }
            }
            System.out.println("YES");
        }

    }

    public void run() throws IOException {
        NewFirstTask newFirstTask = new NewFirstTask();
        newFirstTask.read();
        newFirstTask.solve();
    }

    static public void main(String[] args) throws IOException {
        new CodeForces().run();
    }
}