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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soumavo769: 2017-01-14 05:56:00

can anyone provide any test case other than the ones given here which may be critical

simran07: 2017-01-11 20:10:02

solved from top down.. but getting tle or runtime error without map in bottom up?? why??

sandeep_4141: 2017-01-09 08:34:00

dont use array ! use map and simple dp!!!!

hamjosh1: 2016-12-25 19:13:37

using array -> runtime error
using map -> accepted
done with top down

surf_excel: 2016-12-19 10:50:51

check for input 0. Got into multiple NZEC because of that.

prajneya: 2016-12-10 16:55:58

Why do I get a Runtime Error always?

soodan: 2016-12-08 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: 2016-12-06 13:17:18

my first dp ...!!!!!!! for concept see this video

ashishsb95: 2016-12-01 17:30:45

Last edit: 2016-12-01 17:55:32
ashishsb95: 2016-12-01 17:25:48


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