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
karthik_spoj1:
20210126 13:28:44
be careful while taking inputs


aashish0909:
20210121 14:13:38
@deep_97


deep_97:
20210119 18:09:31
Why is map working to store the data and not arrays? When I am using arrays to store the data, it is giving SIGKILL but for map it's running smoothly? 

princemishra:
20210109 14:29:13
just use recursion + map in cpp


dhruv_sh:
20210107 07:03:11
AC on the second attempt.


saikumarpatel:
20210105 11:47:44
<snip>


tejasreddyk:
20210105 11:46:51
It was little confusing 1 gold coin = 1 $, I considered any gold coin to be worth 1$.... apparently it was a 2$ if it was labeled 2 on it


nitish_verma26:
20201211 17:56:02
Use long long.


monkeyboy9996:
20201207 18:22:20
Can be done via recursion too!!! 

selectaman:
20201201 09:21:17
When to stop taking test cases? Here number of test cases is not taken as 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 