Problem 55235. Determine if x is a combination of m and n

Created by Renee Coetsee

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Given positive integers x, m, and n, determine if x can be written as x = am + bn for any (non-negative) integers a and b. Your function should return logical true or false.
For example
iscombo(17,3,5) should return true because 17 = 4*3 + 1*5
iscombo(18,3,5) should return true because 18 = 6*3 + 0*5
iscombo(7,3,5) should return false because 7 cannot be written as a combination of 3 & 5 (7 is not divisible by either 3 or 5 and 1*3 + 1*5 = 8)
Hint: You can start by calculating all possible values of combining m and n

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Last Solution submitted on Jan 31, 2026

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Tim on 3 Oct 2022

The iscombo function is missing from test 3, which makes you wonder if the assert function is really paying attention.

Dyuman Joshi on 3 Oct 2022

The test cases have been sorted out individually and the solutions have been rescored.

Tim on 3 Oct 2022

The last test case still has "assert(a*m+b*n,m,n)" instead of "assert(iscombo(a*m+b*n,m,n))". Also, I found it more convenient to have the first test cases all together, as they were originally, to copy them more easily.

Dyuman Joshi on 4 Oct 2022

I understand your point Tim, however, individual test cases will help people to find where their code is failing.
I have corrected the last test case and rescored the solutions.

Matt Tearle on 4 Oct 2022

Thanks for catching and fixing that - internet cookies all round!

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Problem 55235. Determine if x is a combination of m and n

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Problem 55235. Determine if x is a combination of m and n

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Last 200 Solutions

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