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"
	"math"
	"os"
	"strconv"
	"strings"
)

var in = newIo(bufio.NewScanner(os.Stdin))

func main() {
	in.setSplit(bufio.ScanLines)
	var s = in.next()
	var t = in.next()
	print(solve(s, t) && solve(t, s))
}

func print(result bool) {
	var r = "No"
	if result {
		r = "Yes"
	}
	fmt.Println(r)
}

func solve(s string, t string) bool {
	r := map[string]string{}
	for i, c := range s {
		v, ok := r[string(c)]
		if ok {
			if v != string(t[i]) {
				return false
			}
		} else {
			r[string(c)] = string(t[i])
		}
	}
	return true
}

type io struct {
	sc *bufio.Scanner
}

func newIo(sc *bufio.Scanner) *io {
	i := new(io)
	i.sc = sc
	i.sc.Buffer([]byte{}, math.MaxInt64)
	i.sc.Split(bufio.ScanWords)
	return i
}

func (i *io) setSplit(f bufio.SplitFunc) {
	i.sc.Split(f)
}

func (i *io) nextIntSlice(y int, delim string) [][]int {
	result := make([][]int, y)
	for j := 0; j < y; j++ {
		line := i.next()
		result[j] = perseIntSlice(strings.Split(line, delim))
	}
	return result
}

func (i *io) next() string {
	i.sc.Scan()
	return i.sc.Text()
}

func (i *io) nextInt() int {
	return perseInt(i.next())
}

func (i *io) nextLong() int64 {
	return perseLong(i.next())
}

func perseInt(s string) int {
	in, _ := strconv.Atoi(s)
	return in
}

func perseLong(s string) int64 {
	in, _ := strconv.ParseInt(s, 10, 64)
	return in
}

func perseIntSlice(s []string) []int {
	var r = make([]int, len(s))
	for i := 0; i < len(s); i++ {
		r[i] = perseInt(s[i])
	}
	return r
}