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 PYTHON3):

Solution:
import math
import bisect
import itertools
import sys
I=lambda : sys.stdin.readline()
mod=10**9 +7
'''fact=[1]*100001
ifact=[1]*100001
for i in range(1,100001):
    fact[i]=((fact[i-1])*i)%mod
    ifact[i]=((ifact[i-1])*pow(i,mod-2,mod))%mod
def ncr(n,r):
    return (((fact[n]*ifact[n-r])%mod)*ifact[r])%mod
def npr(n,r):
    return (((fact[n]*ifact[n-r])%mod))
    '''


def mindiff(a):
    b=a[:]
    b.sort()
    m=10000000000
    for i in range(len(b)-1):
        if b[i+1]-b[i]<m:
            m=b[i+1]-b[i]
    return m
    
def lcm(a,b):
    return a*b//math.gcd(a,b)

    
def merge(a,b):
    i=0;j=0
    c=0
    ans=[]
    while i<len(a) and j<len(b):
        if a[i]<b[j]:
            ans.append(a[i])
            i+=1
        else:
            ans.append(b[j])
            c+=len(a)-i
            j+=1
    ans+=a[i:]
    ans+=b[j:]
    return ans,c
def mergesort(a):
    if len(a)==1:
        return a,0
    mid=len(a)//2   
    left,left_inversion=mergesort(a[:mid])
    right,right_inversion=mergesort(a[mid:])
    m,c=merge(left,right)
    c+=(left_inversion+right_inversion)
    return m,c
    
def is_prime(num):
    if num == 1: return False
    if num == 2: return True
    if num == 3: return True
    if num%2 == 0: return False
    if num%3 == 0: return False
    t = 5
    a = 2
    while t <= int(math.sqrt(num)):
        if num%t == 0: return False
        t += a
        a = 6 - a
    return True
    
  
def ceil(a,b):
    if a%b==0:
        return a//b
    else:
        return (a//b + 1)

def binsearch(arr,b,low,high):
    if low==high:
        return low
    if arr[math.ceil((low+high)/2)]<b:
        return binsearch(arr,b,low,math.ceil((low+high)/2) -1 )
    else:
        return binsearch(arr,b,math.ceil((low+high)/2),high)
def ncr1(n,r):
    s=1
    for i in range(min(n-r,r)):
        s*=(n-i)
        s%=mod
        s*=pow(i+1,mod-2,mod)
        s%=mod
    return s
    
def calc(n,m,r):
    s=0
    for i in range(0,r+1,2):
        s+=ncr1(n,i)*ncr1(m,i)
        s%=mod
    return s    
        
        

#/////////////////////////////////////////////////////////////////////////////////////////////////

a=['a','e','o','i','u']
s=input()
t=input()
if len(s)!=len(t):
    print("No")
else:    
    for i in range(len(t)):
        if (s[i] in a and t[i] not in a) or (s[i] not in  a and t[i] in a):
            print("No")
            break
    else:
        print("Yes")