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
abualy:
20180313 11:17:06
recursion, and memory array, solved with GO 

badasshackme:
20180310 19:26:23
@pavanjupalli precompute some cases, see https://blog.binaryspaceship.com/2018/spojcoinssolution/ 

pavanjupalli:
20180302 16:39:14
it shows time limit exceeded problem , can anyone here help me


shivam_mnnit:
20180301 20:50:49
No need to use map,using simple recursion would give TLE...so better pre compute the results upto 10^6 and then use recursion to compute further results. 

sanjitpd_777:
20180301 16:21:03
recursion and map ;


surajgoel1225:
20180226 06:49:29
ac in third go :) :) 

knodelmj:
20180218 16:08:41
nice problem!


rdrsadhu:
20180120 10:15:37
For Python use


hari_krishna_6:
20180111 12:39:42
no need of dp just use recursion . AC in one Go.!!


as3eem:
20180106 04:27:03
I wouldn't have commented this if I hadn't suffered. Seriously @viniet_sw .... +1 for your comment.

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 