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?


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.


For each test case output a single line, containing the maximum amount of American dollars you can make.




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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dracaris123: 2019-04-07 05:21:57

Use a map to memoize

albie_morkel_: 2019-04-05 14:09:14

How is the input provided? Getting "NZEC" error,

jareehd: 2019-03-29 19:18:27

my first dp problem

chaubey99: 2019-03-23 22:37:54

for test cases-->while(cin >> n)
do memo till 10^6 and then follow recursion.

rahulrawat09: 2019-03-20 16:30:22

just run for 10 test cases, it's working... don't use string and all to find no. of testcases....

cipher135: 2019-03-18 19:50:47

How to take input? I don't understand how to consider test cases. can somebody help me? Thanks!

letuantam96: 2019-03-18 09:28:54

I just use simple recursion, no array, no map. Got AC. And i have no idea why i dont get Stackoverflow.

hkyiitd: 2019-03-06 11:40:56

You can use getline function and then convert the string into interger.

darshan_d: 2019-02-28 14:07:33

getting runtime error in Python3 but runs well in my ide

Last edit: 2019-03-01 07:20:06
run4glory: 2019-01-17 21:10:05

I dont get it, how can I know how many test cases there are and when my loop has to stop? I'm solving my first problem here

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