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
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