Problem: Mr. Santa asks all the great programmers of the world to solve a trivial problem. He gives them an integer m and asks for the number of positive integers n, such that the factorial of n ends with exactly m zeroes. Are you among those great programmers who can solve this problem?

Input

The only line of input contains an integer m (1 ≤ m ≤ 100 000) — the required number of trailing zeroes in factorial.

Output

First print k — the number of values of n such that the factorial of n ends with m zeroes. Then print these k integers in increasing order.

Examples

Input

1


Output

5
5 6 7 8 9 

Input

5


Output

0

Note

The factorial of n is equal to the product of all integers from 1 to n inclusive, that is n! = 1·2·3·...·n.

In the first sample, 5! = 120, 6! = 720, 7! = 5040, 8! = 40320 and 9! = 362880.

Solution (in PYTHON3):

Solution:
m = int(input())
k = 0
num = 0
mem = 0
r = 0
while k < m + 1:
    num += 1
    n = num
    while n > 1 :
        if n % 5 == 0:
            r += 1
            n //= 5
        else:
            break
    mem = k
    k += r
    r = 0
if (mem - m != 0):
    print(0)
else:
    print(5)
    print(' '.join(map(str, range(num-5, num))))