CF 106102C - Magic

Rating: -
Tags: -
Solve time: 42s
Verified: no

Solution

I can't write a correct editorial for this problem because the actual statement is missing.

For Codeforces Gym problem 106102C, the page currently exposes only the sample

Input
3

Output
0 15 5
7 1 12
13 4 3

while the problem description itself is hidden behind an image in the available source, so the task definition, constraints, and required properties of the output matrix are not visible.

A solution editorial depends completely on the missing details:

What does the input integer 3 represent?
What property makes the shown matrix "magic"?
Are rows supposed to have equal sums, equal XORs, equal mex values, or something else?
What are the constraints on n?
Are multiple valid outputs allowed?

If you provide the full text of the statement, or even a screenshot of the image containing the statement, I can write the complete editorial in the exact format you requested, including:

Problem Understanding
Approaches
Algorithm Walkthrough
Proof of correctness
Full Python solution
Worked examples
Complexity analysis
Assert-based test cases
Edge-case discussion

Without the actual statement, any editorial would be speculation and could easily describe the wrong problem.