Problem 1634. Kurchan Square - Evaluation Function
Evaluate a Kurchan square. An NxN square with values 1:N^2.
Given a square matrix determine the products of each row, column, diagonal, and anti-diagonal.
The K-value is the Max minus the Minimum of the 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: Square Matrix
Output: Kurchan Score
Related Challenges:
1) Minimize Kurchan Squares (N=4:9)
2) Minimize Kurchan Squares (N=10:20) [Very large numbers]
3) Maximize Sum of Products (N=4:9) and a Large number Challenge
4) Minimize Sum of Products (N=4:9) and a Large number Challenge
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers30
Suggested Problems
-
288 Solvers
-
Back to basics 11 - Max Integer
773 Solvers
-
188 Solvers
-
Find a subset that divides the vector into equal halves
384 Solvers
-
Split a string into chunks of specified length
1554 Solvers
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!