Problem 56588. Exact Cover

  • Created by HH
An efficient solution to the exact cover problem can be useful in many situations. In this problem, you are welcome to use Knuth's Algorithm X (utilizing the Dancing Links technique), or any other solution.
The exact cover problem is specified here by a row vector, u, representing the universe, and a cell array, s, containing the sets (row vectors) with which to try to exactly cover the respective universe. Given u and s, return x, a cell array containing one or more sets from s that exactly cover u. If no solution exists, return an empty cell array.
For simplicity, you may assume that all universes consist of integers and that all sets in s are subsets of the respective universes. Solutions may not be unique.
Example:
u = 1:7;
s = {[1 4 7] [1 4] [4 5 7] [3 5 6] [2 3 6 7] [2 7]};
x = {[1 4] [3 5 6] [2 7]}
Solve

Solution Stats

64.29% Correct | 35.71% Incorrect
Last Solution submitted on Jul 05, 2023

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