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 Scala (2.11.7) (judge verdict: Wrong Answer)

object Main extends App {
	var s = scala.io.StdIn.readLine.toList
	var t = scala.io.StdIn.readLine.toList
	var map = Map[Char, Char]()

	val size = s.size
	var flag = true

	for(i<-0 until size){
		val a = s.head
		val b = t.head
		s = s.tail
		t = t.tail

		map.get(b) match {
			case None => map = map + (b->a)
			case Some(z) => if(z != a) flag = false
		}
	}

	if(flag) println("Yes")
	else println("No")

}