ZEROS

Problem code: EMA01

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To find the zeroes in a factorial of a number. In this problem, we have to find the number of zeroes following a non negative number in a factorial of a number. Suppose the number entered is 6 and we know factorial of 6 is 720 thus there is only one zero after a non- negative number, so the output is 1.

Input

The first number N indicates the number of test cases to be followed.It stands for number of numbers to be followed. Then there are N lines each containing exactly one positive integer for which the solution to be found out.

Output

For every number, output a single line containing the single non negative integer.

Example

Input:Sample Input

6
3
60
100
1024
23456
8735373



Output:

0
14
24
253
5861
2183837

Author:	rajneeshrana
Date Added:	25-03-2010
Time Limit:	1 sec
Source Limit:	50000 Bytes
Languages:	ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TEXT, WSPC

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Comments

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wat is constraint on

muke @ 2 Apr 2010 12:07 AM

wat is constraint on input

wat it mean

"output a single line containing the single non negative integer."

is it no. zeros

@Admin: Can't submit the

SITZ @ 2 Apr 2010 12:17 AM

@Admin: Can't submit the solution.... :(

help

LOL .. cant submit solution

Manoharprabhu @ 2 Apr 2010 12:42 AM

LOL .. cant submit solution ... and the contest ends in 1 day

why is my solution giving TLE

cybersharp @ 2 Apr 2010 02:53 AM

why is my solution giving TLE when it has already been accepted on other judges??

@Suyash It is giving TLE as

mehrotra.akash @ 2 Apr 2010 07:33 PM

@Suyash

It is giving TLE as this judge does not have any test data and so keeps on waiting for the program to terminate while the program is waiting for input data

@Admin

Is any registration needed for this contest?

@admin I made a program in c

manohar_bhattarai @ 2 Apr 2010 08:03 PM

@admin

I made a program in c (using gcc in ubuntu linux)

Its workin fine till input value 13 due to variable data type unable to store such a long no.

i am using unsigned long.

i hav P4 2.40 GHz processor 32 bit PC...

please help me which data type should i use? or will it b fine with unsigned long on ur(judge's PC)

plz reply fast....

@Manohar : Datatype is not a

flying_ant @ 2 Apr 2010 08:19 PM

@Manohar : Datatype is not a concern here, 'int' should be fine too.. change your approach. Finding n! and counting zeroes in it, is not gonna work.

@Akash Mehrotra I don't think

cybersharp @ 2 Apr 2010 09:54 PM

@Akash Mehrotra

I don't think that there are no test cases becoz ultimately my real solution was accepted (I did not submit any empty function for this problem). I think there is some other error because of which the empty functions are always accepted and the original code gets accepted in several tries if you are lucky!!

There's something wrong with

codebugger @ 3 Apr 2010 04:06 AM

There's something wrong with the time limit.Even an empty function exceeds TLE.

Do not take any input and it

codebugger @ 3 Apr 2010 04:16 AM

Do not take any input and it gets AC.Its just ridiculous!

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