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: Wrong Answer)

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

public class MainClass
{
	public const long Giri = 1000000007;
	public const long DpInf = 99999999999999;

	public static void Main(string[] args)
	{
		var k = Console.ReadLine().ToInt();
		long j = 0;

long[] ary = new long[]{777656545, 777656554, 777656555, 777656556, 777656565, 777656566, 777656567, 777656654, 777656655, 777656656, 777656665, 777656666, 777656667, 777656676, 777656677, 777656678, 777656765, 777656766, 777656767, 777656776, 777656777, 777656778, 777656787, 777656788, 777656789, 777665432, 777665433, 777665434, 777665443, 777665444, 777665445, 777665454, 777665455, 777665456, 777665543, 777665544, 777665545, 777665554, 777665555, 777665556, 777665565, 777665566, 777665567, 777665654, 777665655, 777665656, 777665665, 777665666, 777665667, 777665676, 777665677, 777665678, 777666543, 777666544, 777666545, 777666554, 777666555, 777666556, 777666565, 777666566, 777666567, 777666654, 777666655, 777666656, 777666665, 777666666, 777666667, 777666676, 777666677, 777666678, 777666765, 777666766, 777666767, 777666776, 777666777, 777666778, 777666787, 777666788, 777666789, 777667654, 777667655, 777667656, 777667665, 777667666, 777667667, 777667676, 777667677, 777667678, 777667765, 777667766, 777667767, 777667776, 777667777, 777667778, 777667787, 777667788, 777667789, 777667876, 777667877, 777667878, 777667887, 777667888, 777667889, 777667898, 777667899, 777676543, 777676544, 777676545, 777676554, 777676555, 777676556, 777676565, 777676566, 777676567, 777676654, 777676655, 777676656, 777676665, 777676666, 777676667, 777676676, 777676677, 777676678, 777676765, 777676766, 777676767, 777676776, 777676777, 777676778, 777676787, 777676788, 777676789, 777677654, 777677655, 777677656, 777677665, 777677666, 777677667, 777677676, 777677677, 777677678, 777677765, 777677766, 777677767, 777677776, 777677777, 777677778, 777677787, 777677788, 777677789, 777677876, 777677877, 777677878, 777677887, 777677888, 777677889, 777677898, 777677899, 777678765, 777678766, 777678767, 777678776, 777678777, 777678778, 777678787, 777678788, 777678789, 777678876, 777678877, 777678878, 777678887, 777678888, 777678889, 777678898, 777678899, 777678987, 777678988, 777678989, 777678998, 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3233234566, 3233234567, 3233321000, 3233321001, 3233321010, 3233321011, 3233321012, 3233321100, 3233321101, 3233321110, 3233321111, 3233321112, 3233321121, 3233321122, 3233321123, 3233321210, 3233321211, 3233321212, 3233321221, 3233321222, 3233321223, 3233321232, 3233321233, 3233321234, 3233322100, 3233322101, 3233322110, 3233322111, 3233322112, 3233322121, 3233322122, 3233322123, 3233322210, 3233322211, 3233322212, 3233322221, 3233322222, 3233322223, 3233322232, 3233322233, 3233322234, 3233322321, 3233322322, 3233322323, 3233322332, 3233322333, 3233322334, 3233322343, 3233322344, 3233322345, 3233323210, 3233323211, 3233323212, 3233323221, 3233323222, 3233323223, 3233323232, 3233323233, 3233323234, 3233323321, 3233323322, 3233323323, 3233323332, 3233323333, 3233323334, 3233323343, 3233323344, 3233323345, 3233323432, 3233323433, 3233323434, 3233323443, 3233323444, 3233323445, 3233323454, 3233323455, 3233323456, 3233332100, 3233332101, 3233332110, 3233332111, 3233332112, 3233332121, 3233332122, 3233332123, 3233332210, 3233332211, 3233332212, 3233332221, 3233332222, 3233332223, 3233332232, 3233332233, 3233332234, 3233332321, 3233332322, 3233332323, 3233332332, 3233332333, 3233332334, 3233332343, 3233332344, 3233332345, 3233333210, 3233333211, 3233333212, 3233333221, 3233333222, 3233333223, 3233333232, 3233333233, 3233333234, 3233333321, 3233333322, 3233333323, 3233333332, 3233333333, 3233333334, 3233333343, 3233333344, 3233333345, 3233333432, 3233333433, 3233333434, 3233333443, 3233333444, 3233333445, 3233333454, 3233333455, 3233333456, 3233334321, 3233334322, 3233334323, 3233334332, 3233334333, 3233334334, 3233334343, 3233334344, 3233334345, 3233334432, 3233334433, 3233334434, 3233334443, 3233334444, 3233334445, 3233334454, 3233334455, 3233334456, 3233334543, 3233334544, 3233334545, 3233334554, 3233334555, 3233334556, 3233334565, 3233334566, 3233334567, 3233343210, 3233343211, 3233343212, 3233343221, 3233343222, 3233343223, 3233343232, 3233343233, 3233343234, 3233343321, 3233343322, 3233343323, 3233343332, 3233343333, 3233343334, 3233343343, 3233343344, 3233343345, 3233343432, 3233343433, 3233343434, 3233343443, 3233343444, 3233343445, 3233343454, 3233343455, 3233343456, 3233344321, 3233344322, 3233344323, 3233344332, 3233344333, 3233344334, 3233344343, 3233344344, 3233344345, 3233344432, 3233344433, 3233344434, 3233344443, 3233344444, 3233344445, 3233344454, 3233344455, 3233344456, 3233344543, 3233344544, 3233344545, 3233344554, 3233344555, 3233344556, 3233344565, 3233344566, 3233344567, 3233345432, 3233345433, 3233345434, 3233345443, 3233345444, 3233345445, 3233345454, 3233345455, 3233345456, 3233345543, 3233345544, 3233345545, 3233345554, 3233345555, 3233345556, 3233345565, 3233345566, 3233345567, 3233345654, 3233345655, 3233345656, 3233345665, 3233345666, 3233345667, 3233345676, 3233345677, 3233345678, 3233432100, 3233432101, 3233432110, 3233432111, 3233432112, 3233432121, 3233432122, 3233432123, 3233432210, 3233432211, 3233432212, 3233432221, 3233432222, 3233432223, 3233432232, 3233432233, 3233432234, 3233432321, 3233432322, 3233432323, 3233432332, 3233432333, 3233432334, 3233432343, 3233432344, 3233432345, 3233433210, 3233433211, 3233433212, 3233433221, 3233433222, 3233433223, 3233433232, 3233433233, 3233433234, 3233433321, 3233433322, 3233433323, 3233433332, 3233433333, 3233433334, 3233433343, 3233433344, 3233433345, 3233433432, 3233433433, 3233433434, 3233433443, 3233433444, 3233433445, 3233433454, 3233433455, 3233433456, 3233434321, 3233434322, 3233434323, 3233434332, 3233434333, 3233434334, 3233434343, 3233434344, 3233434345, 3233434432, 3233434433, 3233434434, 3233434443, 3233434444, 3233434445, 3233434454, 3233434455, 3233434456, 3233434543, 3233434544, 3233434545, 3233434554, 3233434555, 3233434556, 3233434565, 3233434566, 3233434567, 3233443210, 3233443211, 3233443212, 3233443221, 3233443222, 3233443223, 3233443232, 3233443233, 3233443234, 3233443321, 3233443322, 3233443323, 3233443332, 3233443333, 3233443334, 3233443343, 3233443344, 3233443345, 3233443432, 3233443433, 3233443434, 3233443443, 3233443444, 3233443445, 3233443454, 3233443455, 3233443456, 3233444321, 3233444322, 3233444323, 3233444332, 3233444333, 3233444334, 3233444343, 3233444344, 3233444345, 3233444432, 3233444433, 3233444434, 3233444443, 3233444444, 3233444445, 3233444454, 3233444455, 3233444456, 3233444543, 3233444544, 3233444545, 3233444554, 3233444555, 3233444556, 3233444565, 3233444566, 3233444567, 3233445432, 3233445433, 3233445434, 3233445443, 3233445444, 3233445445, 3233445454, 3233445455, 3233445456, 3233445543, 3233445544, 3233445545, 3233445554, 3233445555, 3233445556, 3233445565, 3233445566, 3233445567, 3233445654, 3233445655, 3233445656, 3233445665, 3233445666, 3233445667, 3233445676, 3233445677, 3233445678, 3233454321, 3233454322, 3233454323, 3233454332, 3233454333, 3233454334, 3233454343, 3233454344, 3233454345, 3233454432, 3233454433, 3233454434, 3233454443, 3233454444, 3233454445, 3233454454, 3233454455, 3233454456, 3233454543, 3233454544, 3233454545, 3233454554, 3233454555, 3233454556, 3233454565, 3233454566, 3233454567, 3233455432, 3233455433, 3233455434, 3233455443, 3233455444, 3233455445, 3233455454, 3233455455, 3233455456, 3233455543, 3233455544, 3233455545, 3233455554, 3233455555, 3233455556, 3233455565, 3233455566, 3233455567, 3233455654, 3233455655, 3233455656, 3233455665, 3233455666, 3233455667, 3233455676, 3233455677, 3233455678, 3233456543, 3233456544, 3233456545, 3233456554, 3233456555, 3233456556, 3233456565, 3233456566, 3233456567, 3233456654, 3233456655, 3233456656, 3233456665, 3233456666, 3233456667, 3233456676, 3233456677, 3233456678, 3233456765, 3233456766, 3233456767, 3233456776, 3233456777, 3233456778, 3233456787, 3233456788, 3233456789, 3234321000, 3234321001, 3234321010, 3234321011, 3234321012, 3234321100, 3234321101, 3234321110, 3234321111, 3234321112, 3234321121, 3234321122, 3234321123, 3234321210, 3234321211, 3234321212, 3234321221, 3234321222, 3234321223, 3234321232, 3234321233, 3234321234, 3234322100, 3234322101, 3234322110, 3234322111, 3234322112, 3234322121, 3234322122, 3234322123, 3234322210, 3234322211, 3234322212, 3234322221, 3234322222, 3234322223, 3234322232, 3234322233, 3234322234, 3234322321, 3234322322, 3234322323, 3234322332, 3234322333, 3234322334, 3234322343, 3234322344, 3234322345, 3234323210, 3234323211, 3234323212, 3234323221, 3234323222, 3234323223, 3234323232, 3234323233, 3234323234, 3234323321, 3234323322, 3234323323, 3234323332, 3234323333, 3234323334, 3234323343, 3234323344, 3234323345, 3234323432, 3234323433, 3234323434, 3234323443, 3234323444, 3234323445, 3234323454, 3234323455, 3234323456, 3234332100, 3234332101, 3234332110, 3234332111, 3234332112, 3234332121, 3234332122, 3234332123, 3234332210, 3234332211, 3234332212, 3234332221, 3234332222, 3234332223, 3234332232, 3234332233, 3234332234, 3234332321, 3234332322, 3234332323, 3234332332, 3234332333, 3234332334, 3234332343, 3234332344, 3234332345, 3234333210, 3234333211, 3234333212, 3234333221, 3234333222, 3234333223, 3234333232, 3234333233, 3234333234, 3234333321, 3234333322, 3234333323, 3234333332, 3234333333, 3234333334, 3234333343, 3234333344, 3234333345, 3234333432, 3234333433, 3234333434, 3234333443, 3234333444, 3234333445, 3234333454, 3234333455, 3234333456, 3234334321, 3234334322, 3234334323, 3234334332, 3234334333, 3234334334, 3234334343, 3234334344, 3234334345, 3234334432, 3234334433, 3234334434, 3234334443, 3234334444, 3234334445, 3234334454, 3234334455, 3234334456, 3234334543, 3234334544, 3234334545, 3234334554, 3234334555, 3234334556, 3234334565, 3234334566, 3234334567, 3234343210, 3234343211, 3234343212, 3234343221, 3234343222, 3234343223, 3234343232, 3234343233, 3234343234, 3234343321, 3234343322, 3234343323, 3234343332, 3234343333, 3234343334, 3234343343, 3234343344, 3234343345, 3234343432, 3234343433, 3234343434, 3234343443, 3234343444, 3234343445, 3234343454, 3234343455, 3234343456, 3234344321, 3234344322, 3234344323, 3234344332, 3234344333, 3234344334, 3234344343, 3234344344, 3234344345, 3234344432, 3234344433, 3234344434, 3234344443, 3234344444, 3234344445, 3234344454, 3234344455, 3234344456, 3234344543, 3234344544, 3234344545, 3234344554, 3234344555, 3234344556, 3234344565, 3234344566, 3234344567, 3234345432, 3234345433, 3234345434, 3234345443, 3234345444, 3234345445, 3234345454, 3234345455, 3234345456, 3234345543, 3234345544, 3234345545, 3234345554, 3234345555, 3234345556, 3234345565, 3234345566, 3234345567, 3234345654, 3234345655, 3234345656, 3234345665, 3234345666, 3234345667, 3234345676, 3234345677, 3234345678, 3234432100, 3234432101, 3234432110, 3234432111, 3234432112, 3234432121, 3234432122, 3234432123, 3234432210, 3234432211, 3234432212, 3234432221, 3234432222, 3234432223, 3234432232, 3234432233, 3234432234, 3234432321, 3234432322, 3234432323, 3234432332, 3234432333, 3234432334, 3234432343, 3234432344, 3234432345, 3234433210, 3234433211, 3234433212, 3234433221, 3234433222, 3234433223, 3234433232, 3234433233, 3234433234, 3234433321, 3234433322, 3234433323, 3234433332, 3234433333, 3234433334, 3234433343, 3234433344, 3234433345, 3234433432, 3234433433, 3234433434, 3234433443, 3234433444, 3234433445, 3234433454, 3234433455, 3234433456, 3234434321, 3234434322, 3234434323, 3234434332, 3234434333, 3234434334, 3234434343, 3234434344, 3234434345, 3234434432, 3234434433, 3234434434, 3234434443, 3234434444, 3234434445, 3234434454, 3234434455, 3234434456, 3234434543, 3234434544, 3234434545, 3234434554, 3234434555, 3234434556, 3234434565, 3234434566, 3234434567, 3234443210, 3234443211, 3234443212, 3234443221, 3234443222, 3234443223, 3234443232, 3234443233, 3234443234, 3234443321, 3234443322, 3234443323, 3234443332, 3234443333, 3234443334, 3234443343, 3234443344, 3234443345, 3234443432, 3234443433, 3234443434, 3234443443, 3234443444, 3234443445, 3234443454, 3234443455, 3234443456, 3234444321, 3234444322, 3234444323, 3234444332, 3234444333, 3234444334, 3234444343, 3234444344, 3234444345, 3234444432, 3234444433, 3234444434, 3234444443, 3234444444, 3234444445, 3234444454, 3234444455, 3234444456, 3234444543, 3234444544, 3234444545, 3234444554, 3234444555, 3234444556, 3234444565, 3234444566, 3234444567, 3234445432, 3234445433, 3234445434, 3234445443, 3234445444, 3234445445, 3234445454, 3234445455, 3234445456, 3234445543, 3234445544, 3234445545, 3234445554, 3234445555, 3234445556, 3234445565, 3234445566, 3234445567, 3234445654, 3234445655, 3234445656, 3234445665, 3234445666, 3234445667, 3234445676, 3234445677, 3234445678, 3234454321, 3234454322, 3234454323, 3234454332, 3234454333, 3234454334, 3234454343, 3234454344, 3234454345, 3234454432, 3234454433, 3234454434, 3234454443, 3234454444, 3234454445, 3234454454, 3234454455, 3234454456, 3234454543, 3234454544, 3234454545, 3234454554, 3234454555, 3234454556, 3234454565, 3234454566, 3234454567, 3234455432, 3234455433, 3234455434, 3234455443, 3234455444, 3234455445, 3234455454, 3234455455, 3234455456, 3234455543, 3234455544, 3234455545, 3234455554, 3234455555, 3234455556, 3234455565, 3234455566, 3234455567, 3234455654, 3234455655, 3234455656, 3234455665, 3234455666, 3234455667, 3234455676, 3234455677, 3234455678, 3234456543, 3234456544, 3234456545, 3234456554, 3234456555, 3234456556, 3234456565, 3234456566, 3234456567, 3234456654, 3234456655, 3234456656, 3234456665, 3234456666, 3234456667, 3234456676, 3234456677, 3234456678, 3234456765, 3234456766, 3234456767, 3234456776, 3234456777, 3234456778, 3234456787, 3234456788, 3234456789, 3234543210, 3234543211, 3234543212, 3234543221, 3234543222, 3234543223, 3234543232, 3234543233, 3234543234, 3234543321, 3234543322, 3234543323, 3234543332, 3234543333, 3234543334, 3234543343, 3234543344, 3234543345, 3234543432, 3234543433, 3234543434, 3234543443, 3234543444, 3234543445, 3234543454, 3234543455, 3234543456, 3234544321, 3234544322, 3234544323, 3234544332, 3234544333, 3234544334, 3234544343, 3234544344, 3234544345, 3234544432, 3234544433, 3234544434, 3234544443, 3234544444, 3234544445, 3234544454, 3234544455, 3234544456, 3234544543, 3234544544, 3234544545, 3234544554, 3234544555, 3234544556, 3234544565, 3234544566, 3234544567, 3234545432, 3234545433, 3234545434, 3234545443, 3234545444, 3234545445, 3234545454, 3234545455, 3234545456, 3234545543, 3234545544, 3234545545, 3234545554, 3234545555, 3234545556, 3234545565, 3234545566, 3234545567, 3234545654, 3234545655, 3234545656, 3234545665, 3234545666, 3234545667, 3234545676, 3234545677, 3234545678, 3234554321, 3234554322, 3234554323, 3234554332, 3234554333, 3234554334, 3234554343, 3234554344, 3234554345, 3234554432, 3234554433, 3234554434, 3234554443, 3234554444, 3234554445, 3234554454, 3234554455, 3234554456, 3234554543, 3234554544, 3234554545, 3234554554, 3234554555, 3234554556, 3234554565, 3234554566, 3234554567, 3234555432, 3234555433, 3234555434, 3234555443, 3234555444, 3234555445, 3234555454, 3234555455, 3234555456, 3234555543, 3234555544, 3234555545, 3234555554, 3234555555, 3234555556, 3234555565, 3234555566, 3234555567, 3234555654, 3234555655, 3234555656, 3234555665, 3234555666, 3234555667, 3234555676, 3234555677, 3234555678, 3234556543, 3234556544, 3234556545, 3234556554, 3234556555, 3234556556, 3234556565, 3234556566, 3234556567, 3234556654, 3234556655, 3234556656, 3234556665, 3234556666, 3234556667, 3234556676, 3234556677, 3234556678, 3234556765, 3234556766, 3234556767, 3234556776, 3234556777, 3234556778, 3234556787, 3234556788, 3234556789, 3234565432, 3234565433, 3234565434, 3234565443, 3234565444, 3234565445, 3234565454, 3234565455, 3234565456, 3234565543, 3234565544, 3234565545, 3234565554, 3234565555, 3234565556, 3234565565, 3234565566, 3234565567, 3234565654, 3234565655, 3234565656, 3234565665, 3234565666, 3234565667, 3234565676, 3234565677, 3234565678, 3234566543, 3234566544, 3234566545, 3234566554, 3234566555, 3234566556, 3234566565, 3234566566, 3234566567, 3234566654, 3234566655, 3234566656, 3234566665, 3234566666, 3234566667};

		if(k <= 60000)
		{
		for(long i = 1; i < 3234566667; i++)
		{
			if(IsRunRun(i))
			{
				j++;
			}
			
			if(j == k)
			{
				Console.WriteLine(i);
				return;
			}
		}
		}
		Console.WriteLine(ary[k-60000-1]);
		
	}
	
	static bool IsRunRun(long k)
	{
		if(k<10)
			return true;
			
		var p = k.ToString();
		for(int i = 1; i < p.Length; i++)
		{
			if(Math.Abs(p[i-1] - p[i])>1)
				return false;
		}
		return true;
	}
	

	
	static long GCD(long a, long b)
	{
		var v = new[] { a, b };
		while (v[1] != 0) { v = new[] { v[1], v[0] % v[1] }; }
		return v[0];
	}
	public static string[] Input() { return Console.ReadLine().Split(); }
}

public static class Smarter
{
	public static int ToInt(this string str) { return int.Parse(str); }
	public static long ToLong(this string str) { return long.Parse(str); }
	public static int[] ToInt(this string[] str, int offset = 0)
	{
		var r = new int[str.Length];
		for(int i = 0; i < str.Length; i++) r[i] = str[i].ToInt() + offset;
		return r;
	}
}