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 (GCC 5.4.1) (judge verdict: Time Limit Exceeded)

#include <stdio.h>
#include<math.h>
 
int Hantei(unsigned long long int i)
{
    int number[10] = {0};
    int count = 0;
    while (i > 0)
    {
        number[count] = i%10;
        count++;
        i = i/10;
    }
    
    for (int j = 0; j < count-1; j++)
    {
        if (number[j]-number[j+1] > 1 || number[j]-number[j+1] < -1)
        {
            return 0;
        }
        
    }

    return 1;
}

int Han(unsigned long long int i)
{
    int number[10] = {0};
    int count = 0;
    while (i > 0)
    {
        number[count] = i%10;
        count++;
        i = i/10;
    }

    if (number[count-1]-number[count-2] == -2)
    {
        return 1;
    }

    return 0;
    
}

int HHan(unsigned long long int i)
{
    int number[10] = {0};
    int count = 0;
    while (i > 0)
    {
        number[count] = i%10;
        count++;
        i = i/10;
    }

    if (number[count-2]-number[count-3] == -2)
    {
        return 1;
    }

    return 0;
    
}

int HHHan(unsigned long long int i)
{
    int number[10] = {0};
    int count = 0;
    while (i > 0)
    {
        number[count] = i%10;
        count++;
        i = i/10;
    }

    if (number[count-3]-number[count-4] == -2)
    {
        return 1;
    }

    return 0;
    
}

int HHHHan(unsigned long long int i)
{
    int number[10] = {0};
    int count = 0;
    while (i > 0)
    {
        number[count] = i%10;
        count++;
        i = i/10;
    }

    if (number[count-4]-number[count-5] == -2)
    {
        return 1;
    }

    return 0;
    
}

int HHHHHan(unsigned long long int i)
{
    int number[10] = {0};
    int count = 0;
    while (i > 0)
    {
        number[count] = i%10;
        count++;
        i = i/10;
    }

    if (number[count-5]-number[count-6] == -2)
    {
        return 1;
    }

    return 0;
    
}

int HHHHHHan(unsigned long long int i)
{
    int number[10] = {0};
    int count = 0;
    while (i > 0)
    {
        number[count] = i%10;
        count++;
        i = i/10;
    }

    if (number[count-6]-number[count-7] == -2)
    {
        return 1;
    }

    return 0;
    
}

int HHHHHHHan(unsigned long long int i)
{
    int number[10] = {0};
    int count = 0;
    while (i > 0)
    {
        number[count] = i%10;
        count++;
        i = i/10;
    }

    if (number[count-7]-number[count-8] == -2)
    {
        return 1;
    }

    return 0;
    
}

int HHHHHHHHan(unsigned long long int i)
{
    int number[10] = {0};
    int count = 0;
    while (i > 0)
    {
        number[count] = i%10;
        count++;
        i = i/10;
    }

    if (number[count-8]-number[count-9] == -2)
    {
        return 1;
    }

    return 0;
    
}

int HHHHHHHHHan(unsigned long long int i)
{
    int number[10] = {0};
    int count = 0;
    while (i > 0)
    {
        number[count] = i%10;
        count++;
        i = i/10;
    }

    if (number[count-9]-number[count-10] == -2)
    {
        return 1;
    }

    return 0;
    
}




int Keta(unsigned long long int i)
{
    int keta = 0;
    while (i>0)
    {
        i = i/10;
        keta ++;
    }
    return keta - 1;
}


int main(void)
{
    unsigned long long int X[100000] = {0};
    unsigned long long int K, count = 0;
    scanf("%llu", &K);

    for (unsigned long long int i = 1; i <= 3234566667; i++)
    {
        if (HHHHHHHHHan(i))
        {
            i+=8*pow(10,Keta(i)-10);
        }
        
        else if (HHHHHHHHan(i))
        {
            i+=8*pow(10,Keta(i)-9);
        }
        
        else if (HHHHHHHan(i))
        {
            i+=8*pow(10,Keta(i)-8);
        }
        
        else if (HHHHHHan(i))
        {
            i+=8*pow(10,Keta(i)-7);
        }
        
        else if (HHHHHan(i))
        {
            i+=8*pow(10,Keta(i)-6);
        }
        
        else if (HHHHan(i))
        {
            i+=8*pow(10,Keta(i)-5);
        }
        
        else if (HHHan(i))
        {
            i+=8*pow(10,Keta(i)-4);
        }
        
        else if (HHan(i))
        {
            i+=8*pow(10,Keta(i)-3);
        }
        
        else if (Han(i))
        {
            i += 8*pow(10,Keta(i)-2);
        }
        
        if (Hantei(i))
        {
            X[count] = i;
            count++;
        }

        if (count == K)
        {
            break;
        }
        
        
    }

    printf("%llu", X[K-1]);
    

    return 0;
}