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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"fmt"
	"io/ioutil"
	"os"
	"strings"
)

func main() {
	b, _ := ioutil.ReadAll(os.Stdin)
	d := strings.Split(string(b), "\n")
	s := d[0]
	t := d[1]
	sm := make(map[byte]int)
	tm := make(map[byte]int)
	for i := 0; i < len(s); i++ {
		if sm[s[i]] != tm[t[i]] {
			fmt.Println("No")
			return
		}
		sm[s[i]] = i + 1
		tm[t[i]] = i + 1
	}
	fmt.Println("Yes")
}