Problem 1646. Kurchan 3x3 - Optimal Score

Find an optimal 3x3 Kurchan square, score of 198.

A 3x3 Kurchan square has values 1:9.The products of each row, column, diagonal, and anti-diagonal are used

The Kurchan-value is the Max minus the Minimum of these products.

Example: m=[5 1 8;3 9 4;7 2 6]

Row Products: 40,108, and 84. Column products 105, 18, and 192.

Diagonal Products: 270, 1*4*7=28, and 8*3*2=48.

Anti-Diagonal Products: 8*9*7=504, 1*3*6=18, and 5*4*2=40.

K is thus 504-18 = 486. [ Max of all products - Min of all products ]

Input: None

Output: Kurchan Square [3x3] that scores 198

I expect someone to give a min size hardcoded solution at some point.

Related Challenges:

1) Kurchan Square Evaluation

2) Minimize Kurchan Squares (N=4:9)

3) Minimize Kurchan Squares (N=10:20) [Very large numbers]

4) Maximize Sum of Products (N=4:9) and a Large number Challenge

5) Minimize Sum of Products (N=4:9) and a Large number Challenge

Solution Stats

55.32% Correct | 44.68% Incorrect
Last Solution submitted on Oct 19, 2023

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers25

Suggested Problems

More from this Author294

Problem Tags

Community Treasure Hunt

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

Start Hunting!