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
sandhya:
2012-06-05 11:13:56
when does the input stop...? can anyone who has got AC pls help me...?? |
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akshay tankha:
2012-05-15 09:06:38
getting wrong answer plz mre test cases
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Ashish Raj:
2012-05-11 07:33:24
stopping condition in java ? |
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hell:
2012-04-21 14:25:25
what is the stopping condition in c
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Rocker3011:
2012-03-21 20:42:58
long long int doesn´t work, use unsigned long long
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Sachin Railhan:
2012-03-14 11:10:41
For C/C++ users:
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stranger:
2012-03-13 01:18:35
2 giorgi:
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guliashvili:
2012-02-12 09:29:19
is 10833333 right for 1000000000 ? just say yes or no.. |
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Pranjali Pratik:
2012-02-10 10:17:11
stopping condition of input?? |
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Smit Mehta:
2012-01-12 15:21:22
I am getting TLE for recursion!! Any better way?
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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 |