Question

Can you fill a table of size `5xx5` with

a. Integers,

b. Real numbers,

 such that the sum of each row is even, and the sum of each column is odd?

Difficulty level (1 very easy - 10 very hard): 3

Topics:
Combinatorics -> Pigeonhole Principle Combinatorics -> Double Counting Logic -> Reasoning / Logic Number Theory -> Division -> Parity (Even/Odd) Proof and Example -> Proof by Contradiction
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