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.

hide comments
selectaman: 2020-12-01 09:21:17

When to stop taking test cases? Here number of test cases is not taken as input.

scrapperdb: 2020-11-20 17:39:57

To take input using python:
Take a counter for while loop, set it to 11 first, decrement it until > 0.
If the input has less than 10 testcases, EOFError occurs, handle that exception using try and except blocks.

tomatoispotato: 2020-10-30 13:59:24

Hint: Recursion + dictionary

stevebobs: 2020-10-21 00:04:12

-got AC from 2nd attempt. Use long instead of int for end result. Cheers!

Last edit: 2020-10-21 00:10:13
coder582: 2020-10-06 07:40:00

n is BIG

wille_25: 2020-10-01 21:40:30

finally got AC in 3 attempt, recursive + dp that's it careful while taking input cost me WA cpp take i/p like this
int n ; while(cin>>n){ code.......} !

abhishen99: 2020-09-21 18:24:36

dont getting problem - see this -''can be exchanged '', and you will get the choices to choose from.

ashish_sinha5: 2020-09-13 21:02:27

How to take input for python

lakshya1st: 2020-09-01 18:53:49

AC in one go!!

aditigedam: 2020-08-27 12:45:12

don't forget that n is very very big.

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