EGYPIZZA - Pizza

Abotrika is having a party because his team won the African cup so he is inviting his friends to eat some pizza. Unfortunately, his friends can't eat an entire pizza but all of them know exactly how much pizza they can eat and insist on getting the exact amount of pizza but Abotrika eats one complete pizza and all of them wants his amount of pizza in one slice. Their requests break down to three different pizza slices-either one quarter or a half or three quarters of pizza.

Write a program that will help Abotrika to find out what is the minimal number of pizzas he has to order so that everyone gets exact amount of pizza they want.

Input

First line contains an integer N, 0 ≤ N ≤ 10 000, the number of friends. In each of next N lines there is amount of pizza that each of Abotrika's friends wants to eat, that is the fraction 1/4, 1/2 or 3/4.

Output

In the first and only line you should write the minimal number of pizzas Abotrika has to order don't forget to order one complete pizza for Abotrika.

Example 1

Input:
3
1/2
3/4
3/4

Output:
4

Example 2

Input:
5
1/2
3/4
1/2
1/4
1/4 

Output:
4

Added by:Kawmia Institutes
Date:2010-08-18
Time limit:0.204s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64 BF LISP sbcl LISP clisp JS-RHINO LUA OBJC PHP VB.NET
Resource:Croatian Highschool Competitions in Informatics 2004

hide comments
2014-05-20 18:40:27 pvkcse
any tricky cases please...it's hard to pass 9...!!!
2014-05-19 18:50:56 Smriti Vashisth
is that \n after every line of input? and do I have to take into account, the format of the input numerator/denominator?
2014-05-13 00:40:40 Arjun Verma
weak cases ! test cases never apply for cases where no. of 1/4 is more than 2* no. of 1/2 .
for example ,

for this case -
9
3/4
1/2
1/4
1/4
1/4
1/4
1/4
1/4
1/4


output = 4 or 3
both are accepted , whereas the answer only to be accepted must be 4 .


Last edit: 2014-05-13 00:42:01
2014-03-21 16:35:48 ravichandra
i keep getting WA after running(9)...
can anyone help pls??
2014-02-22 06:01:23 Suraj Rajan
combine a 3/4 and a 1/4 instead of 4 1/4s
2014-02-03 14:42:00 Shadow_Walker
The key is to be patient n carefully consider all the possible cases ...confusing newline n Haste caused me 10 WA..phew!
2014-01-21 12:24:12 baraba
weak tests...
2014-01-06 20:59:07 New_Bullet
Seriously a very good problem! Enjoyed solving it :)@ROHIT KUMAR's comment was really useful & hence i repeat... "all of them wants his amount of pizza in one slice" ! That's the only catch in the problem!
2013-12-28 11:49:55 swagnik dutta
will abotrika prefer to eat one whole(uncut) pizza or she would prefer to eat pieces like(3/4 and 1/4),(1/2 and 1/2) etc?
2013-10-18 15:08:08 Martijn Muijsers
@Satyaki I had that too. Turned out I made a mistake first, but had to use the logic *Number of half pizzas % 2 = 1 => two less quarter pizzas to process later*
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