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.
hide comments
Prashant Gupta:
20110616 08:07:58
Getting NZEC again and again help please ! 

sandeep aggrawal:
20110615 13:55:33
Is unsigned long long int is sufficient for the answer??


Santiago Palacio:
20110503 06:28:37
Can i use while(!EOF) in c++? and, does every answer fit in an unsigned long long int?


albertg:
20110429 07:23:27
For 3 output is 3. 

Rocker3011:
20110423 02:13:51
hey i don´t get it, this doesn´t have any stopping input condition? 

Termvader:
20110403 03:22:47
I am getting the same answer (4243218150) for 1000000000 but still the solution checker tells me wrong answer


mostafa alaa mohammed:
20110205 23:05:39
can any one tell me if input is 3 what is the output


:D:
20090923 10:56:15
The imput terminates on EOF. 0 is a valid test case and 10 is a maximum number of test cases not the exact number. 

Team101:
20090325 01:32:48
Input:

Added by:  Tomek Czajka 
Date:  20050503 
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 