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
Solution Comments
Show comments
Loading...
Problem Recent Solvers92
Suggested Problems
-
21438 Solvers
-
1746 Solvers
-
1496 Solvers
-
Calculate the Number of Sign Changes in a Row Vector (No Element Is Zero)
939 Solvers
-
Find out sum and carry of Binary adder
1768 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!
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.