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 Kotlin (1.0.0) (judge verdict: Time Limit Exceeded)

fun main(args : Array<String>) {
    val S = readLine()!!.toMutableList()
    val T = readLine()!!.toMutableList()
    val length = S.size
    val positionMap = mutableMapOf<Char, MutableList<Int>>()

    var c = 'a'
    while (c <= 'z') {
        positionMap.put(c, mutableListOf())
        c++
    }

    S.forEachIndexed{index, char ->
        positionMap.get(char)!!.add(index)
    }



    (0..(length-1)).forEach {index ->
        val s = S[index]
        val t = T[index]
        if (s != t) {
            val sIndexes = positionMap.get(s)!!
            sIndexes.forEach {
                S[it] = t
            }
            val tIndexes = positionMap.get(t)!!
            tIndexes.forEach {
                S[it] = s
            }

            positionMap.put(s, tIndexes)
            positionMap.put(t, sIndexes)
        }
    }

    if (S == T) {
        println("Yes")
    } else {
        println("No")
    }
}