Akuya has finally obtained Shinki Hikari's iPhone. Now, he needs to crack the password to gather evidence!
Blindly attempting to crack the password won't work, so Akuya found a note inside Shinki Hikari's phone case. On it was a puzzle! He believes the solution to this puzzle is the phone's password. The puzzle is as follows:
Given a positive integer

, the double factorial of

is the product of all positive integers with the same odd/even parity as

and not exceeding

. It is denoted as

, for example,

.
Find the number of trailing zeros in the decimal representation of the product

.
Akuya is just one step away from achieving his revenge. Can you help him?