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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Text;

namespace AtTest.ABC_110
{
    class C
    {
        static void Main(string[] args)
        {
            Method(args);
            Console.ReadLine();
        }

        static void Method(string[] args)
        {
            string s = Console.ReadLine();
            string t = Console.ReadLine();
            var changeDict = new Dictionary<char, char>();
            for(int i = 0; i < s.Length; i++)
            {
                if (changeDict.ContainsKey(s[i]))
                {
                    if (changeDict[s[i]] != t[i])
                    {
                        Console.WriteLine("No");
                        return;
                    }
                    else
                    {
                        continue;
                    }
                }
                else
                {
                    changeDict.Add(s[i], t[i]);
                }
            }
            //keyの重複チェック
            var checkDict = new Dictionary<char, bool>();
            foreach (KeyValuePair<char, char> pair in changeDict)
            {
                if (checkDict.ContainsKey(pair.Value))
                {
                    Console.WriteLine("No");
                    return;
                }
                else
                {
                    checkDict.Add(pair.Value, true);
                }
            }

            /*for (int i = 0; i < s.Length; i++)
            {
                if (changeDict.ContainsKey(s[i]))
                {
                    if (changeDict[s[i]] == t[i])
                    {
                        continue;
                    }
                    else
                    {
                        Console.WriteLine("No");
                        ShowResult(s, changeDict);
                        return;
                    }
                }
                else
                {
                    if (s[i] == t[i])
                    {
                        continue;
                    }
                    else if (changeDict.ContainsKey(t[i]))//swap済み
                    {
                        Console.WriteLine("No");
                        ShowResult(s, changeDict);
                        return;
                    }
                    else
                    {
                        changeDict.Add(s[i], t[i]);
                        changeDict.Add(t[i], s[i]);
                    }
                }
            }*/

            Console.WriteLine("Yes");
        }

        static void ShowResult(string s,Dictionary<char,char> dict)
        {
            char[] result = s.ToCharArray();
            for(int i = 0; i < result.Length; i++)
            {
                if(dict.ContainsKey(result[i]))
                {
                    result[i] = dict[result[i]];
                }
            }
            Console.WriteLine(result);
        }

        private static string Read() { return Console.ReadLine(); }
        private static int ReadInt() { return int.Parse(Read()); }
        private static long ReadLong() { return long.Parse(Read()); }
        private static double ReadDouble() { return double.Parse(Read()); }
        private static int[] ReadInts() { return Array.ConvertAll(Read().Split(), int.Parse); }
        private static long[] ReadLongs() { return Array.ConvertAll(Read().Split(), long.Parse); }
        private static double[] ReadDoubles() { return Array.ConvertAll(Read().Split(), double.Parse); }
    }
}