COINS - Bytelandian gold coins

In Byteland they have a very strange monetary system.

Each Bytelandian gold coin has an integer number written on it. A coin n can be exchanged in a bank into three coins: n/2, n/3 and n/4. But these numbers are all rounded down (the banks have to make a profit).

You can also sell Bytelandian coins for American dollars. The exchange rate is 1:1. But you can not buy Bytelandian coins.

You have one gold coin. What is the maximum amount of American dollars you can get for it?

Input

The input will contain several test cases (not more than 10). Each testcase is a single line with a number n, 0 <= n <= 1 000 000 000. It is the number written on your coin.

Output

For each test case output a single line, containing the maximum amount of American dollars you can make.

Example

Input:
12
2

Output:
13
2

You can change 12 into 6, 4 and 3, and then change these into $6+$4+$3 = $13. If you try changing the coin 2 into 3 smaller coins, you will get 1, 0 and 0, and later you can get no more than $1 out of them. It is better just to change the 2 coin directly into $2.


Added by:Tomek Czajka
Date:2005-05-03
Time limit:9s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6 VB.NET
Resource:Purdue Programming Contest Training

hide comments
2011-06-16 11:23:31 impulse
geez, i got tle 3 times and now AC just because while (scanf()!=EOF)..., thank for @Santiago Palacio comment..
2011-06-16 08:07:58 Prashant Gupta
Getting NZEC again and again help please !
2011-06-15 13:55:33 sandeep aggrawal
Is unsigned long long int is sufficient for the answer??
if not what should i take??
2011-05-03 06:28:37 Santiago Palacio
Can i use while(!EOF) in c++? and, does every answer fit in an unsigned long long int?

edit: no, while(scanf(..)!=EOF) is the key.

Last edit: 2011-05-29 04:25:07
2011-04-29 07:23:27 albertg
For 3 output is 3.
2011-04-23 02:13:51 Rocker3011
hey i don´t get it, this doesn´t have any stopping input condition?
2011-04-03 03:22:47 Termvader
I am getting the same answer (4243218150) for 1000000000 but still the solution checker tells me wrong answer
(For end of file I have taken the input no. to be -1)
Can somebody please help me.
2011-02-05 23:05:39 mostafa alaa mohammed
can any one tell me if input is 3 what is the output
and what is mean
"changing the coin 2 into 3 smaller coins, you will get 1, 0 and 0, and later you can get no more than $1 out of them. It is better just to change the 2 coin directly into $2."
2009-09-23 10:56:15 :D
The imput terminates on EOF. 0 is a valid test case and 10 is a maximum number of test cases not the exact number.
2009-03-25 01:32:48 Team101
Input:
1000000000

Output:
4243218150

Last edit: 2009-03-25 01:32:48
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