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:
def num5(n):
    r = 0
    while n:
        n //= 5
        r += n
    return r

m = int(input())
lo = 0
hi = int(1e20)

while lo < hi:
    mi = (lo + hi) // 2
    if num5(mi) < m:
        lo = mi + 1
    else:
        hi = mi

r = []
while num5(lo) == m:
    r.append(lo)
    lo += 1
print(len(r))
if r:
    print(" ".join(map(str, r)))