Problem 1873. Break it up! Break it up!
You have N pennies. Write a Matlab script that will reveal how many different ways you can break up those pennies. For example, with 5 pennies, there are seven different ways you can divide them:
- (1,1,1,1,1)
- (2,1,1,1)
- (2,2,1)
- (3,2)
- (3,1,1)
- (4,1)
- (5)
The order of the coins does not matter, so (2,2,1) is considered the same combination as (2,1,2). You can assume that N will always be a positive integer.
Solution Stats
Problem Comments
-
4 Comments
Test case p(300)=9253082936723604 exceeds the maximum integer that can be represented exactly as a double precision number (namely, 2^53=9007199254740992); the fact that some solutions work for this case is just luck.
Changed to p(299), which is <2^53. Thanks for the heads up.
Interestingly, p(299) had some issues as well. Changed again to p(199), which seems to be working OK.
If I ever want to learn something, I dial up a problem from James.
Solution Comments
Show commentsProblem Recent Solvers52
Suggested Problems
-
Remove all the words that end with "ain"
2172 Solvers
-
Longest run of consecutive numbers
5143 Solvers
-
Sum of odd numbers in a matrix
550 Solvers
-
Max Change in Consecutive Elements
151 Solvers
-
Solve a System of Linear Equations
10879 Solvers
More from this Author80
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!