169. Numbers

time limit per test: 0.25 sec / memory limit per test: 4096 KB

Let us call P(n) - the product of all digits of number n (in decimal notation). For example, P(1243)=1*2*4*3=24; P(198501243)=0. Let us call n to be a good number, if (p(n)<>0) and (n mod P(n)=0). Let us call n to be a perfect number, if both n and n+1 are good numbers.

You are to write a program, which, given the number K, counts all such numbers n that n is perfect and n contains exactly K digits in decimal notation.

Input

Only one number K (1<=K<=1000000) is written in input.

Output

Output the total number of perfect k-digit numbers.

Example(s)

Sample Input	Sample Output
1	8