Problem 577. Repopulate the City

For any population p of positive integers between pmin and pmax, we can calculate histogram count n for a list of evenly dividing divisors d. Here's how it works.
Consider the population p = [10, 12, 15, 11, 20, 11]. For the list of divisors d = [2, 3, 5] we get a histogram count n of [3, 2, 3]. That is, three of the numbers in the population are evenly divisible by 2, two are evenly divisible by 3, and three are evenly divisible by 5.
You will face the inverse problem. Given a histogram count corresponding to a list of divisors, produce a population of positive integers that fits the distribution. Your answer will not be unique and can be provided in any order. It just has to match the distribution. The elements of p can be no less than pmin and no greater than pmax.
Example:
pmin = 5
pmax = 10
d = [1 2 3 4 5]
n = [8 3 4 2 2]
One answer (of many possible): p = [5 5 6 8 8 9 9 9]

Solution Stats

35.26% Correct | 64.74% Incorrect
Last Solution submitted on Feb 26, 2024

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers47

Suggested Problems

More from this Author50

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!