EGYPIZZA - Pizza

no tags 

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
shriram_pareek: 2020-06-25 04:48:22

what is the meaning of "all of them wants his amount of pizza in one slice."??

kumar_anubhav: 2020-06-23 17:04:19

AC in one go!! :)

roshansalian: 2020-04-19 18:39:46

If someone wants 3/4 you can only take 1/4 out and give him 3/4. He won't accept 3*(1/4) or 1/4+1/2 because 1/4 has been cut and merged.
3/4 mangta matlab akka 3/4 mangta hai.

manish_thakur: 2020-02-20 05:18:49

refer to kkislay20 's comment if stuck!

robosapien: 2020-01-28 20:27:00

Last edit: 2020-07-24 18:23:34
tarun_28: 2019-12-16 08:33:19

Hint: 2*(1/4)!=(1/2) ;)

jprm2: 2019-09-01 13:37:54

APPLY GREEDY APPP\ROACH FOR FULL AC SOLUTION
AC IN2nd go

gaurav1614: 2019-07-07 12:25:18

easy AC!! similar to this from cf - https://codeforces.com/problemset/problem/158/B

maratha: 2019-03-26 21:06:48

AC in one go !

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.


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