Problem 520. Choose the best fitting dominoes

Created by Doug Hull

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You will be given a cell array of nx2 matrices. Choose one row from each matrix. These are the ordered pairs that will be placed in a line like this.
{[1 2  [4 5 [0 4
  3 5   2 4  3 2
  1 5]  5 1] 5 3]}
Choices might be: [1 2 3]
yields: [1 2][2 4][5 3]
    or: abs(2-2) + abs(4-5)
    or:        0 + 1
    or: 1
You are trying to minimize the score, the absolute difference of the sum of the difference at the intersections.

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Last Solution submitted on Dec 16, 2025

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@bmtran (Bryant Tran) on 4 Apr 2012

this isn't a big deal, but you have inconsistent inputs for your test cases. cases 1 & 3 are 'row vector' cell arrays whereas case 2 is a 'column vector' cell array.

David Verrelli on 9 Jun 2018

It would be good to amend the Test Suite in the following regards: (1) Add "%%" to the beginning of the first test case, so that Cody interprets it as intended. (2) Include more test cases: currently the twelve smallest 'correct' submissions are all hard-coded cheats. (3) Include test cases in which the minimum score is not zero. (4) Include test cases in which the number of dominoes to be placed "in a line" is not three. —DIV

David Verrelli on 9 Jun 2018

And (5) Include test cases in which for a particular position there are more than 9 candidate dominoes available.

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Problem 520. Choose the best fitting dominoes

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Problem 520. Choose the best fitting dominoes

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