Problem:
Score : 400 points

Problem Statement

A positive integer X is said to be a lunlun number if and only if the following condition is satisfied:

In the base ten representation of X (without leading zeros), for every pair of two adjacent digits, the absolute difference of those digits is at most 1.

For example, 1234, 1, and 334 are lunlun numbers, while none of 31415, 119, or 13579 is.

You are given a positive integer K. Find the K-th smallest lunlun number.

Constraints

1 \leq K \leq 10^5

All values in input are integers.

Input

Input is given from Standard Input in the following format:

K

Output

Print the answer.

Sample Input 1

15

Sample Output 1

23

We will list the 15 smallest lunlun numbers in ascending order:

1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
21,
22,
23.

Thus, the answer is 23.

Sample Input 2

1

Sample Output 2

1

Sample Input 3

13

Sample Output 3

21

Sample Input 4

100000

Sample Output 4

3234566667

Note that the answer may not fit into the 32-bit signed integer type.

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

using System;
using System.Collections.Generic;
using System.Collections;
using System.Linq;

namespace Atcoder_0404
{
    class Program
    {
        static void Main(string[] args)
        {
            long _needCount = long.Parse(Console.ReadLine());
            List<int> _digits = new List<int>();
            _digits.Add(0);
            long _result =0;
            long nowRonCount=0;
            while (nowRonCount<_needCount)
            {
                var temp=SetNextRon(_digits);
                nowRonCount++;
            }
            _result = ReverseDigit(_digits);
            Console.WriteLine(_result);
        }
        static long ReverseDigit(List<int> data)
        {
            long result = 0;
            for (int i = 0; i<data.Count; i++)
            {
                result += data[i] * (long)Math.Pow(10, i);
            }
            return result;
        }

        static void AddDigit(List<int> data)
        {
            int targetDigit = 0;
            while (true)
            {
                if (targetDigit >= data.Count) data.Add(0);
                data[targetDigit]++;

                int d = data[targetDigit];
                if (d >= 10)
                {
                    data[targetDigit] = 0;
                    targetDigit++;
                }
                else
                {
                    break;
                }
            }
        }


        static List<int> SetNextRon(List<int> data)
        {
            AddDigit(data);
            List<int> result = new List<int>(data);
            int topIndex = data.Count - 1;
            while (!CheckRon(data))
            {
                int def = Math.Abs(data[topIndex] - data[topIndex - 1]);
                if (def >= 2)
                {
                    if (data[topIndex] < data[topIndex-1])
                    {
                        data[topIndex]++;
                        for(int i = 0; i < topIndex; i++)
                        {
                            data[i] = 0;
                        }
                    }
                    data[topIndex - 1] = data[topIndex] - 1;
                    topIndex = data.Count - 1;
                }
                else
                {
                    topIndex--;
                }
            }
            return result;
        }

        static bool CheckRon(List<int> data)
        {
            int targetDigit = 0;
            for (targetDigit = 0; targetDigit < data.Count-1; targetDigit++)
            {
                int difference=Math.Abs(data[targetDigit] - data[targetDigit + 1]);
                if (difference >= 2)
                {
                    return false;
                }
            }
            return true;
        }
        #region input
        

        static string[] GetInput_string()
        {
            var input = Console.ReadLine().Split(' ');
            return input;
        }

        static int[] GetInput_int()
        {
            var input = GetInput_string();
            var result = new int[input.Length];
            for (int i = 0; i < result.Length; i++)
            {
                result[i] = int.Parse(input[i]);
            }
            return result;
        }
        static long[] GetInput_long()
        {
            var input = GetInput_string();
            var result = new long[input.Length];
            for (int i = 0; i < result.Length; i++)
            {
                result[i] = long.Parse(input[i]);
            }
            return result;
        }
        #endregion
        #region sonota
        static void Swap_array<T>(T[] target, int a, int b)
        {
            T temp = target[a];
            target[a] = target[b];
            target[b] = temp;
        }
        static void Swap_list<T>(List<T> target, int a, int b)
        {
            T temp = target[a];
            target[a] = target[b];
            target[b] = temp;
        }
        #endregion
    }
}