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TPC07 - Change |
How many ways are there to pay n cents? We assume that the payment must be made with pennies (1 cent), nickels (5 cents), dimes (10 cents), quarters (25 cents), and half-dollars (50 cents).
For example, there are four ways to pay 13 cents, namely (13 pennies), (2 nickels, 3 pennies), (1 nickel, 8 pennies), and (1 dime, 3 pennies).
Input
The input will contain multiple test cases. Each test case contains a single line with a single integer n (1 ≤ n ≤ 1000000000).
The input will be terminated by the end of file.
Output
For each input integer n, output how many ways are there to pay n cents in a single line.
Sample Input
13 100000000
Sample Output
4 66666793333412666685000001
Added by: | abdelkarim |
Date: | 2013-09-28 |
Time limit: | 2.929s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 |
Resource: | TJU Programming Contest 2007 |
hide comments
2019-05-17 09:33:00
Problem was ripped from "Concrete mathematics" ch.7. Bottom up dp or recurrence will end in TLE. Use formula instead. |
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2015-12-30 08:21:01 darryl
Learn something new today... |
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2014-05-19 19:13:22 [Lakshman]
AC!!!! Last edit: 2014-05-20 11:16:12 |
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2014-02-10 03:38:47 Apoorv Jindal
AWESOME problem! Last edit: 2013-12-24 08:29:31 |