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)

function main(arg) {
	arg  = arg.split("\n")
	var s = arg[0]
	var t = arg[1]

	for (var i  = 0; i < t.length; i++) {
		var si = s[i].slice()
		var ti = t[i].slice()
	
		if (si === ti) {
			continue
		}

		if (s.toLowerCase() === t) {
			break
		}

		s = s.replace(si, '1')
		s = s.replace(ti, '2')
		s = s.replace('1', ti)
		s = s.replace('2', si)
	}

	
	if (s.toLowerCase() === t) {
		console.log('Yes')
	} else {
		console.log('No')
	}
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));