EGYPIZZA - Pizza

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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

hide comments
steel_cage: 2016-10-02 21:09:47

can someone explain me the question

mat_79: 2016-09-13 13:21:41

@davidgalehouse True. It makes me nervous. Finally I did it!

Last edit: 2016-09-13 13:21:57
davidgalehouse: 2016-09-10 22:48:35

@mat_79 Those aren't the correct answers, both are 1 too high. To everyone else, the comments are full of red herrings. I suggest you solve before reading them, unless you get truly stuck.

mat_79: 2016-08-31 15:32:38

And why is it 3?!?
4
1/4
1/4
1/4
1/4

mat_79: 2016-08-31 14:57:26

Why, oh why it is 7 ?!?
12
3/4
3/4
3/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/2
1/2

ace_cocytus: 2016-08-22 04:12:33

1. Pizzas 3/4 always take full portion
2. Pizzas 1/2 take a full portion including leftover (ceiling)
3.a. Pizzas 1/4 can take all leftovers from 3/4
3.b. Pizzas 1/4 can take last leftovers from pizza 1/2 (up to 2 portion)
3.c. Pizzas 1/4 can take 4 portion full pizza

manish3749: 2016-08-16 19:36:39

try all the test cases given in comments... it will certainly help u

sharif ullah: 2016-08-13 13:01:13

Just think how we make 1 by using these fraction ........frequencies of fraction helps

vineetpratik: 2016-06-27 08:52:56

nice question AC in one go thanks to test cases in comments :)
use map or frequency array

adichd123: 2016-03-14 16:14:34

used frequency array.

Last edit: 2016-03-14 16:14:54

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