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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include "bits/stdc++.h"
#include <chrono>

using namespace std;
using namespace std::chrono;

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;

#define gcd(ade,bde) __gcd(ade,bde)
#define vi vector<int>
#define vll vector<ll>
#define vs vector<string>
#define vc vector<char>
#define pb(ade) push_back(ade)
#define pp pop_back()
#define IOS ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define type(ade) typeid(ade).name();
#define starting() auto start = high_resolution_clock::now()
#define ending() auto stop = high_resolution_clock::now();\
auto duration = duration_cast<microseconds>(stop - start);\
cerr << "\n" << "\n" << "Execution Time : "<< duration.count()/1000 << " ms" << "\n"

template <typename T1>
void print(vector<T1> arr) {
	int l = (int)arr.size();
	cerr << "[" ;
	for(int i = 0; i < l; i++) {
		(i == l - 1) ? cerr << arr[i] : cerr << arr[i] << "," ;
	}
	cerr << "]" << "\n";
}

template <typename T1>
void printArr(int arr[], int l) {
	cerr << "[" ;
	for (int i = 0; i < (int)l; i++) {
		(i == l-1) ? cerr << arr[i] : cerr << arr[i] << "," ;
	}
	cerr << "]" << "\n";
}

template <typename T1>
void console(vector<vector<T1>> arr) {
	for (int i = 0; i < (int)arr.size(); ++i) {
		cerr << "\n" << " [" ;
	    for(int j = 0; j < (int)arr[i].size(); ++j) {
			(j == (int)arr[i].size() - 1) ? cerr << arr[i][j] : cerr << arr[i][j] << "," ;
		}
	    cerr << "]";
	}
	cerr << "\n";
}
template <typename T1,typename T2>
void mapped(map<T1,T2> m) {
	for(auto ite = m.begin(); ite != m.end(); ++ite){
		cerr << "'" << ite->first << "'"<< " : " << ite->second << "\n";
	}
}

template <typename T1 , typename T2>
void mappedArr(map<T1,vector<T2>> m) {
	for (auto ity = m.begin(); ity != m.end(); ++ity) {
		cerr << "'" << ity->first << "'" << " : " << "[";
        for (int i = 0; i < (int)ity->second.size(); ++i) {
			(i == (int)ity->second.size() - 1) ? cerr << ity->second[i] : cerr << ity->second[i] << ",";
		}
		cerr << "]"<< "\n";
	}
}

string int_to_string(int x) {
    stringstream ss;
	ss << x;
	string ni = ss.str();
	return ni;
}
int char_to_int(char c) {
	int n = (int)c - 48;
	return n;
}
int string_to_int(string x) {
	int n;
	stringstream s(x);
	s >> n;
	return n;
}

template <typename T1, typename T2>
void vectPair(vector<pair<T1,T2>> vp) {
	for (int arrp = 0; arrp< (int)vp.size(); ++arrp){
		cerr << "(" << vp[arrp].first << "," << vp[arrp].second << ")" << "\n" ;
	}
}

//unordered_map<int,int> um;
//unordered_set<int> us;
//set<int> s;
// v.front() gives the first element of vector
// v.back()  gives the last element of vector
// insert erase substr
//g++ -o Legendary-Grandmaster Legendary-Grandmaster.cpp&Legendary-Grandmaster.exe
//cd C:\Users\158si\Desktop\Algorithim\codeForces\elite
// for-bash cd C:/Users/158si/Desktop/Algorithim/codeForces/elite
//memset(arr,element,sizeofarray);//Converts the value ch to unsigned char and copies it
// into each of the first n characters of the object pointed to by str[].
//g++ -o impulse.exe impulse.cpp
//puts
typedef long long ll;
const int MOD = 1e9 + 7;
const ll INF = 1e18L + 5;

set<ll> s;
///vector<ll> v;
void value(ll a) {
	int n = (int)s.size();
	//cout << n << endl;
	if (a > 1e9) {
		return ;
	}
	if (n > 1e5 + 7) {
		return ;
	}
	if (s.find(a) != s.end()) {
		return ;
	}
	// 	for (auto it = s.begin(); it != s.end(); ++it) {
	// 	cout << *it << " ";
	// }
	// cout << endl;
	//ll x = a;
	//ll cnt = 0;
	//while (x > 0) {
		//x /= 10;
		//cnt++;
	//}	
	//v.push_back(a);
	s.insert(a);
	ll b = a % 10;
	if (a == 0) {
		for (int i = 1; i <= 9; ++i) {
			value(i);
		}
	}else {
		if (b == 9) {
			value((a*10) + 9);
			value((a*10) + 8);
		}else if (b == 0){
			value((a*10) + 1);
			value((a*10) + 0);
		}else {
			value((a * 10) + b);
			value((a * 10) + b + 1);
			value((a * 10) + b - 1);	
		}
	}
}



int main(){
	IOS;
	//#ifndef ONLINE_JUDGE
	//freopen("input.txt", "r", stdin);
	//freopen("ouput.txt", "w", stdout);
	//#endif
	ll n;
	cin >> n;
	value(0);
	//sort(v.begin(),v.end());
	//for (int i = 0; i < (int)v.size(); ++i) 
		//cout << v[i] << endl;
	//cout << v[n] << endl;
	auto it = s.begin();
    for (int i = 0 ; i < n; ++i) {
		//cout << *it << " ";
		++it;
	}
    cout << *it << endl;
    //for (int  i = 0; i < n; ++i) {
		//cout << *it << endl;
		//it++;
	//}
	//cout << *it << endl;
 
	return 0;
}