MagicExchangeableWords

using System;
using System.Collections.Generic;
using System.Linq;
using System.Runtime.InteropServices;

class MagicExchangeableWords
{
    static void Main()
    {
        {
            string[] input = Console.ReadLine().Split(' ');
            string first = input[0];
            string second = input[1];

            Console.WriteLine(AreEqual(first, second) ? "true" : "false");
        }
    }


    private static bool AreEqual(string a, string b)
    {
        bool areEqual = true;
        var data = new Dictionary<char, char>();
        string aa = "";
        string bb = "";
        if (a.Length == b.Length)
        {
            for (int i = 0; i < a.Length; i++)
            {
                char firstChar = a[i];
                char secondChar = b[i];
                if (!data.ContainsKey(firstChar))
                {
                    data.Add(firstChar, secondChar);
                }
                else
                {
                    if (!data.ContainsValue(secondChar))
                    {
                        areEqual = false;
                    }
                }
            }
        }
        else if (a.Length != b.Length)
        {
            int minLength = Math.Min(a.Length, b.Length);
            int maxLength = Math.Max(a.Length, b.Length);
            if (minLength == a.Length)
            {
                char[] arrA = a.ToCharArray();
                char[] arrALong = new char[maxLength];
                for (int i = 0; i < maxLength; i++)
                {
                    arrALong[i] = arrA[i % minLength];
                }
                aa = new string(arrALong);
                bb = b;
            }
            else if (minLength == b.Length)
            {
                char[] arrB = b.ToCharArray();
                char[] arrBLong = new char[maxLength];
                for (int i = 0; i < maxLength; i++)
                {
                    arrBLong[i] = arrB[i % minLength];
                }
                bb = new string(arrBLong);
                aa = a;
            }
            for (int i = 0; i < aa.Length; i++)
            {
                char firstChar = aa[i];
                char secondChar = bb[i];
                if (!data.ContainsKey(firstChar))
                {
                    data.Add(firstChar, secondChar);
                }
                else
                {
                    if (!data.ContainsValue(secondChar))
                    {
                        areEqual = false;
                    }
                }
            }
        }
        else
        {
            areEqual = false;
        }

        return areEqual;
    }
}