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 PYTHON):

Solution:
limit = 10**5 + 7
out = [None]*limit
i = 0
n = 1
while i < limit:
	m = n
	while m%5 == 0:
		m /= 5
		out[i] = n
		i += 1
	n += 1
	while n%5 != 0:
		n += 1

n = int(raw_input())
print out[n] - out[n - 1]
for i in xrange(out[n - 1], out[n]):
	print i,