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
masterchef2209: 2018-08-10 13:16:26

finally solved this question, tricky one;
the thing to notice is that by 3/4 it means we need a 3/4th slice and 3 1/4th can't make a 3/4th, similarly we can't get 1/2 from two 1/4th.

joe85123: 2018-07-19 17:13:14

can someone please tell me what's going on in the 9th test case? I wrote in C and I already checked all the test cases here in comment and had no problem, but still getting WA. Then I asked someone for a sample code written in c++, the idea was pretty much the same and it got AC. Is it because of the language or can someone who got AC after struggling with the 9th judge share their experience?

bluishgreen: 2018-07-06 09:41:12

For the given sample test case: 3 3/4 3/4 1/2, isn't the answer 3? 2 pizzas can be split as 3/4 3/4 1/2 and the remaining 1 for the host. Am I missing out something here?

Last edit: 2018-07-06 09:44:31
manjeet_: 2018-06-14 19:39:39

simple ques using MAP

Last edit: 2018-06-14 19:40:04
kkislay20: 2018-06-13 20:18:46

For all those who are getting confused if these test cases are correct and then read my previous comment. That is what the actual scenario is!!

kkislay20: 2018-06-13 20:15:49





Thanks @ace_cocytus for your comment, your comment helped more than others
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

zephyr_96: 2018-03-20 21:09:34

Good question !!

sinersnvrsleep: 2018-02-11 07:34:07

spoj toolkit is giving wrong answers for 4 (1/4) case

deepak097: 2018-01-28 21:49:21

AC ! in 1 go

bani_raheja: 2017-12-28 22:37:30

instead of checking the test cases, just keep in mind that you should maintain pairing up of 1/4 and 3/4 as the highest priority and then proceed onto further cases. 3/4 and 1/2 cannot be paired.


Added by:Kawmia Institutes
Date:2010-08-18
Time limit:0.204s
Source limit:50000B
Memory limit:1536MB
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Resource:Croatian Highschool Competitions in Informatics 2004