Problem 1873. Break it up! Break it up!

Created by James

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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.

Solve

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Last solution submitted on Oct 08, 2019

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3 Comments

3 Comments

Tim on 17 Sep 2013

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.

James on 18 Sep 2013

Changed to p(299), which is <2^53. Thanks for the heads up.

James on 18 Sep 2013

Interestingly, p(299) had some issues as well. Changed again to p(199), which seems to be working OK.

Solution Comments

Solution 938319

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1 Comment

Peng Liu on 18 Aug 2016

Test 2: function y = partitions(x) works!

Solution 938316

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7 Comments

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Peng Liu on 18 Aug 2016

Test 1: function y = partitions(n) fails

Aditya Jain on 18 Aug 2016

isn't it suppose to be partitions(x)?

Peng Liu on 18 Aug 2016

But this is just function definition.

Peng Liu on 18 Aug 2016

Either partitions(x) or partitions(n) should not matter in the function definition.

James on 19 Aug 2016

Strange. The problem you were having had something to do with the error checking suite that was above the solutions. Your solution passed the error checks, but failed to actually work. Now that I have removed the error checks, your solution with partitions(n) passes. I may have to muck around with this a bit later on.

James on 19 Aug 2016

The problem was with the following line in the error checking:

st = sprintf('function y = partitions(x)\n%%%s', st);

This automatically changed the first line of your script to use partitions(x) instead of partitions(n). That was done to prevent folks from using the "function ans=blahblahblah(x)" technique when that still worked, That was just a holdover that happened to trip you up. Now that that line (and the rest of the suite0 has been removed, partitions(n) should work just fine.

Peng Liu on 19 Aug 2016

@James oops! I was so careless that I didn't notice that single-line error checking (I thought your check was intended to forbid the usage of functions such as eval, str2num, etc, and thus I completely ignored that when I was solving the problem). Now I realized this is not a strange behavior or bug of Cody. Thanks for your clarification.

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Problem 1873. Break it up! Break it up!

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Problem 1873. Break it up! Break it up!

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