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 $2.
hide comments
nk17kumar:
2016-04-22 01:53:29
Jst awesome. learnt top down and nice implementation of maps . Ac in 1st go :) |
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gkr007:
2016-04-19 23:03:59
Awesome DP for beginners!! was stuck with SIGXFSZ but solved it later on.. |
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surya2196:
2016-03-31 20:00:34
lolypop question |
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zyloc:
2016-03-26 22:11:09
Easy one ;) |
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Shubham Matta:
2016-03-07 13:11:42
Nice questions .... Learnt a lot about DP.. |
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$:
2016-03-04 16:59:16
Nice problem, My 50th
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darragh:
2016-02-23 22:54:49
Didn't get AC the first time because I was using a loop using !cin.eof() as the condition and I assume there is a space/newline at the end of the file.
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amit_s95:
2016-02-07 10:23:40
Nice question, compels you to learn something new
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abc_c:
2016-02-07 08:27:17
My 2nd DP :)
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Nguyễn Hoàng Nam:
2016-02-02 16:34:03
how to read input in java |
Added by: | Tomek Czajka |
Date: | 2005-05-03 |
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 |