// https://atcoder.jp/contests/abc110/tasks/abc110_c

package main

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

type UnionFind struct {
	// for children, the value is its parent index. for root, the value is -1 * the size of the group
	parents []int
}

func (uf *UnionFind) init(n int) {
	uf.parents = make([]int, n)

	for i := range uf.parents {
		uf.parents[i] = -1
	}
}

func (uf *UnionFind) root(x int) int {
	if uf.parents[x] < 0 {
		return x
	}

	r := uf.root(uf.parents[x])
	uf.parents[x] = r
	return r
}

func (uf *UnionFind) same(x, y int) bool {
	return uf.root(x) == uf.root(y)
}

func (uf *UnionFind) merge(x, y int) {
	xr := uf.root(x)
	yr := uf.root(y)

	if xr == yr {
		return
	}

	// make less index one as a root
	if xr > yr {
		xr, yr = yr, xr
	}

	uf.parents[xr] += uf.parents[yr]
	uf.parents[yr] = xr
}

func (uf *UnionFind) size(x int) int {
	return -uf.parents[uf.root(x)]
}

func (uf *UnionFind) groupCount() int {
	res := 0

	for _, parent := range uf.parents {
		if parent < 0 {
			res++
		}
	}

	return res
}

// d: debug IO. it can print debug in test.
func solve(io *Io, d *Io) {
	S := io.Next()
	T := io.Next()

	sChars := []rune(S)
	tChars := []rune(T)

	// 操作で UF の形は変わらない ⇔ UF が等しいことは必要条件
	// UF が等しければ、 1 swap 毎に異なる領域が一つずつ減らせるはずなので十分？

	sUf := &UnionFind{}
	sUf.init(len(S))
	sCharIndexMap := map[rune]int{} // 同一文字列で最初に現れる index

	for i, sc := range sChars {
		charI, included := sCharIndexMap[sc]

		if included {
			sUf.merge(i, charI)
		} else {
			sCharIndexMap[sc] = i
		}
	}

	tUf := &UnionFind{}
	tUf.init(len(T))
	tCharIndexMap := map[rune]int{}

	for i, tc := range tChars {
		charI, included := tCharIndexMap[tc]

		if included {
			tUf.merge(i, charI)
		} else {
			tCharIndexMap[tc] = i
		}
	}

	for i, sP := range sUf.parents {
		tP := tUf.parents[i]
		if sP != tP {
			io.Println("No")
			return
		}
	}

	io.Println("Yes")
}

// お互いへの変換 map を持てば十分
func solve2(io *Io, d *Io) {
	S := io.Next()
	T := io.Next()

	sChars := []rune(S)
	tChars := []rune(T)

	stMap := map[rune]rune{} // key: s の char, value: t の char
	tsMap := map[rune]rune{}

	for i, sc := range sChars {
		tc := tChars[i]

		if stm, included := stMap[sc]; included {
			if stm != tc {
				io.Println("No")
				return
			}
		} else {
			stMap[sc] = tc
		}

		if ttm, included := tsMap[tc]; included {
			if ttm != sc {
				io.Println("No")
				return
			}
		} else {
			tsMap[tc] = sc
		}
	}

	io.Println("Yes")
}

func main() {
	io := NewIo()
	defer io.Flush()
	solve2(io, nil)
}

/* IO Helpers */

// Io combines reader, writer, & tokens as the state when processing the input
type Io struct {
	reader    *bufio.Reader
	writer    *bufio.Writer
	tokens    []string
	nextToken int
}

// NewIo creates Io with Stdin & Stdout
func NewIo() *Io {
	return &Io{
		reader: bufio.NewReader(os.Stdin),
		writer: bufio.NewWriter(os.Stdout),
	}
}

// Flush calls the writer's Flush
func (io *Io) Flush() {
	io.writer.Flush()
}

// NextLine returns the string from reader.ReadLine()
func (io *Io) NextLine() string {
	if io.nextToken < len(io.tokens) {
		panic("io.nextToken < len(io.tokens)")
	}

	var buffer bytes.Buffer

	for {
		line, isPrefix, err := io.reader.ReadLine()
		if err != nil {
			panic(err)
		}
		buffer.Write(line)
		if !isPrefix {
			break
		}
	}

	return buffer.String()
}

// NextLines returns []string from next n lines
func (io *Io) NextLines(n int) []string {
	res := make([]string, n)
	for i := 0; i < n; i++ {
		res[i] = io.NextLine()
	}
	return res
}

// Next returns the string token (partial string of the line divided by spaces)
func (io *Io) Next() string {
	if io.nextToken >= len(io.tokens) {
		line := io.NextLine()
		io.tokens = strings.Fields(line)
		io.nextToken = 0
	}

	res := io.tokens[io.nextToken]
	io.nextToken++
	return res
}

// NextStrings returns the []string from the next n tokens
func (io *Io) NextStrings(n int) []string {
	res := make([]string, n)
	for i := 0; i < n; i++ {
		res[i] = io.Next()
	}
	return res
}

// NextInt returns the int from the next token
func (io *Io) NextInt() int {
	res, err := strconv.Atoi(io.Next())
	if err != nil {
		panic(err)
	}
	return res
}

// NextInts returns the []int from the next n tokens
func (io *Io) NextInts(n int) []int {
	res := make([]int, n)
	for i := 0; i < n; i++ {
		res[i] = io.NextInt()
	}
	return res
}

// NextFloat returns the float64 from the next token
func (io *Io) NextFloat() float64 {
	res, err := strconv.ParseFloat(io.Next(), 64)
	if err != nil {
		panic(err)
	}
	return res
}

// NextFloats returns the []float64 from the next n tokens
func (io *Io) NextFloats(n int) []float64 {
	res := make([]float64, n)
	for i := 0; i < n; i++ {
		res[i] = io.NextFloat()
	}
	return res
}

// Println prints the input to the writer in an easy-to-see form
func (io *Io) Println(a ...interface{}) {
	var values []string
	for i := 0; i < len(a); i++ {
		values = append(values, "%v")
	}
	io.Printfln(strings.Join(values, " "), a...)
}

// Print calls Fprint to the writer
func (io *Io) Print(a interface{}) {
	fmt.Fprint(io.writer, a)
}

// Printf calls Fprintf to the writer
func (io *Io) Printf(format string, a ...interface{}) {
	fmt.Fprintf(io.writer, format, a...)
}

// Printfln calls Fprint to the writer
func (io *Io) Printfln(format string, a ...interface{}) {
	fmt.Fprintf(io.writer, format+"\n", a...)
}

// PrintInts prints ints with space and new line at the end
func (io *Io) PrintInts(ints []int) {
	for i, e := range ints {
		io.Print(e)

		if i == len(ints)-1 {
			io.Println()
		} else {
			io.Print(" ")
		}
	}
}

// Debug calls Println and Flush immediately
func (io *Io) Debug(a ...interface{}) {
	if io == nil {
		return
	}

	io.Println(a...)
	io.Flush()
}

/* Math Helpers */

// MOD is 10^9 + 7
const MOD = 1000000007

// Max of the ints
func Max(numbers ...int) int {
	max := numbers[0]
	for i, number := range numbers {
		if i == 0 {
			continue
		}
		if number > max {
			max = number
		}
	}
	return max
}

// Min of the ints
func Min(numbers ...int) int {
	max := numbers[0]
	for i, number := range numbers {
		if i == 0 {
			continue
		}
		if max > number {
			max = number
		}
	}
	return max
}

// DigitSum returns sum of the int's digits
func DigitSum(n int) int {
	if n < 0 {
		return -1
	}

	res := 0

	for n > 0 {
		res += n % 10
		n /= 10
	}

	return res
}

// Sum of the ints
func Sum(numbers ...int) int {
	sum := 0

	for _, number := range numbers {
		sum += number
	}

	return sum
}

// Pow calculates the pow for int with O(log e)
func Pow(a, e int) int {
	if a < 0 || e < 0 {
		panic(fmt.Sprintf("Pow was called for a < 0 or e < 0, a: %d, e: %d", a, e))
	}

	if e == 0 {
		return 1
	}

	if e%2 == 0 {
		half := Pow(a, e/2)
		return half * half
	}

	return a * Pow(a, e-1)
}

// Abs returns the absolute value of the input
func Abs(a int) int {
	if a < 0 {
		return -a
	}

	return a
}

/* Structure Helpers */

// Set is orderless List
type Set map[interface{}]struct{}

// NewSet returns empty Set
func NewSet() *Set {
	return &Set{}
}

// Add the value to the set
func (set *Set) Add(value interface{}) {
	(*set)[value] = struct{}{}
}

// Includes check the set has the value
func (set *Set) Includes(value interface{}) bool {
	_, included := (*set)[value]
	return included
}

// Remove deletes the value from the set if exists
func (set *Set) Remove(value interface{}) {
	if !set.Includes(value) {
		return
	}

	delete(*set, value)
}

// ImmutableSort returns sorted slice without mutating original one
func ImmutableSort(slice []int) []int {
	res := make([]int, len(slice))
	copy(res, slice)
	sort.Ints(res)
	return res
}

/* Util helpers */

// Ternary is like `cond ? a : b`. should assert the returned value like `Ternary(cond, a, b).(int)`
func Ternary(cond bool, a, b interface{}) interface{} {
	if cond {
		return a
	}

	return b
}

// TernaryInt uses Ternary and assert the value as int
func TernaryInt(cond bool, a, b int) int {
	return Ternary(cond, a, b).(int)
}

// TernaryString uses Ternary and assert the value as string
func TernaryString(cond bool, a, b string) string {
	return Ternary(cond, a, b).(string)
}


Measured memory_bytes: 3584