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: Runtime Error)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
	"strings"
)

func main() {
	s := IOInitialize()
	S := String(s)
	T := String(s)
	sList := strings.Split(S, "")
	tList := strings.Split(T, "")
	mA := map[string]string{}
	mB := map[string]string{}
	for i, strA := range sList {
		strB := tList[i]
		if strA == strB {
			continue
		}
		if _, ok := mA[strA]; ok {
			if mA[strA] == strB {
				continue
			} else {
				fmt.Println("No")
				return
			}
		} else {
			if _, ok := mB[strB]; ok {
				fmt.Println("No")
				return
			} else {
				mA[strA] = strB
				mB[strB] = strA
				continue
			}
		}
	}
	fmt.Println("Yes")
}

func IOInitialize() *bufio.Scanner {
	s := bufio.NewScanner(os.Stdin)
	s.Split(bufio.ScanWords)
	return s
}

func Int(s *bufio.Scanner) int {
	if !s.Scan() {
		panic("scan error")
	}

	value, err := strconv.Atoi(s.Text())
	if err != nil {
		panic("text to int error")
	}
	return value
}

func String(s *bufio.Scanner) string {
	if !s.Scan() {
		panic("scan error")
	}

	return s.Text()
}

func scanNums(s *bufio.Scanner, len int) (nums []int) {
	for i := 0; i < len; i++ {
		num := Int(s)
		nums = append(nums, num)
	}
	return
}

func scanstrings(s *bufio.Scanner, len int) (strs []string) {
	for i := 0; i < len; i++ {
		str := String(s)
		strs = append(strs, str)
	}
	return
}