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
soumavo769:
20170114 05:56:00
can anyone provide any test case other than the ones given here which may be critical 

simran07:
20170111 20:10:02
solved from top down.. but getting tle or runtime error without map in bottom up?? why??


sandeep_4141:
20170109 08:34:00
dont use array ! use map and simple dp!!!! 

hamjosh1:
20161225 19:13:37
using array > runtime error


surf_excel:
20161219 10:50:51
check for input 0. Got into multiple NZEC because of that. 

prajneya:
20161210 16:55:58
Why do I get a Runtime Error always? 

soodan:
20161208 04:55:58
guys use while( scanf("%lld", &n) != EOF){} for this question as we are not given specific testcases got 5 TLE due to this dumb shit.. 

pramodc:
20161206 13:17:18
my first dp ...!!!!!!! for concept see this video https://www.youtube.com/watch?v=dZ0OS4YUs2A 

ashishsb95:
20161201 17:30:45


ashishsb95:
20161201 17:25:48
#15 
Added by:  Tomek Czajka 
Date:  20050503 
Time limit:  9s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS PERL 6 VB.net 
Resource:  Purdue Programming Contest Training 