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:
def exponent(n, p):
	ret, n = 0, n / p
	while n : ret, n = ret + n, n / p
	return ret
def n0(n) : return exponent(n, 5)	
m, ans, s = input(), 0, ""
for i in range(1, 1000000):
	r =  n0(i)
	if r > m: break
	if r == m: ans, s = ans + 1, s + str(i) + " "
print ans	
if ans: print s