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 (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

var sc = bufio.NewScanner(os.Stdin)

func init() {
	sc.Split(bufio.ScanWords)
}

func nextInt() int {
	sc.Scan()
	i, e := strconv.ParseInt(sc.Text(), 10, 64)
	if e != nil {
		panic(e)
	}
	return int(i)
}

func nextLine() string {
	sc.Scan()
	return sc.Text()
}

func main() {
	var (
		s string
		t string
	)
	fmt.Scan(&s, &t)

	n := len(s)

	start := make([]int, 0, 26)
	goal := make([]int, 0, 26)
	for i := 0; i < 26; i++ {
		start = append(start, -1)
		goal = append(goal, -1)
	}

	for i := 0; i < n; i++ {
		a := int(s[i] - 'a')
		b := int(t[i] - 'a')

		// 何かしら変換が行われている]
		if start[a] != -1 {
			if start[a] != b {
				fmt.Println("No")
				return
			}
		} else {
			start[a] = b
		}

		if goal[b] != -1 {
			if goal[b] != a {
				fmt.Println("No")
				return
			}
		} else {
			goal[b] = a
		}
	}

	fmt.Println("Yes")
}