Problem:
Score : 300 points

Problem Statement

You are given strings S and T consisting of lowercase English letters.

You can perform the following operation on S any number of times:

Operation: Choose two distinct lowercase English letters c_1 and c_2, then replace every occurrence of c_1 with c_2, and every occurrence of c_2 with c_1.

Determine if S and T can be made equal by performing the operation zero or more times.

Constraints

1 \leq |S| \leq 2 \times 10^5

|S| = |T|

S and T consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:

S
T

Output

If S and T can be made equal, print Yes; otherwise, print No.

Sample Input 1

azzel
apple

Sample Output 1

Yes

azzel can be changed to apple, as follows:

Choose e as c_1 and l as c_2. azzel becomes azzle.

Choose z as c_1 and p as c_2. azzle becomes apple.

Sample Input 2

chokudai
redcoder

Sample Output 2

No

No sequences of operation can change chokudai to redcoder.

Sample Input 3

abcdefghijklmnopqrstuvwxyz
ibyhqfrekavclxjstdwgpzmonu

Sample Output 3

Yes

Solution in JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

'use strict'

const count = arr => {
    let Obj = {}
    arr.forEach((v, i) => {
        if(Obj[v] === undefined){
            Obj[v] = []
        }
        Obj[v].push(i)
    })
    return Obj
}

const del = obj => {
    let arr = []
    for(let k in obj){
        if(obj[k].length === 1){
            delete obj[k]
        }else{
            arr.push(obj[k])
        }
    }
    return arr
}

const main = (input) => {
    const s = input.split('\n')[0].split('')
    const t = input.split('\n')[1].split('')

    const sObj = del(count(s))
    const tObj = del(count(t))

    if(sObj.length !== tObj.length){
        console.log('No')
        return
    }

    for(let i = 0; i < sObj.length; i++){
        for(let j = 0; j < sObj[i].length; j++){
            if(sObj[i][j] !== tObj[i][j]){
                console.log('No')
                break
            }
        }
    }
    console.log('Yes')

}

main(require('fs').readFileSync('/dev/stdin', 'utf-8'))