Question 2
A garden is a $2024\times2024$ grid of unit squares. A gardener places flowerpots subject to all three conditions:
1. Every pot contains exactly one of three species: chrysanthemum, rose, or orchid.
2. Each $1\times1$ square contains at most one pot.
3. For every pot, the number of pots of a different species in its row plus the number of pots of a different species in its column is $3$.
What is the largest possible number of pots if all three species must be present?
1. Every pot contains exactly one of three species: chrysanthemum, rose, or orchid.
2. Each $1\times1$ square contains at most one pot.
3. For every pot, the number of pots of a different species in its row plus the number of pots of a different species in its column is $3$.
What is the largest possible number of pots if all three species must be present?