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.
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amar_shukla1:
20200508 11:29:56
For continuous inputs in c++ try


skullbreaker:
20200504 10:06:04
I got no error while testing it in my ide. I got correct value for 1000000000. But i am getting wrong answer while submitting. I even used dp.Somebody please help me. 

elie_e:
20200427 14:18:47
@alche_mist02 u can look up for std:: iota 

plak4:
20200417 14:07:08
use long long int 

mahesh_1997:
20200411 17:05:08
@am_venkat_2000 Thank you very much 

mahesh_1997:
20200411 15:38:54
@sameer_19 why should we do that way? for any kind of input can't we apply memoization using map 

sudo_s:
20200401 13:22:19
@aryan_0406 I'm getting 4243218150 for n=1000000000


an09mous:
20200304 19:48:22
Recursion with memoization using a map instead of array. 

agkash01:
20200128 17:15:16
while(cin>>n) @sachsri 

sachsri:
20200125 18:40:58
How do we know about the end of the 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 