Question 156
For any two points $A(x_1, y_1)$ and $B(x_2, y_2)$ in the coordinate plane, define
$$
d(A, B) = |x_1 - x_2| + |y_1 - y_2|.
$$
Let $P_1, P_2, \dots, P_{2023}$ be 2023 pairwise different points in the coordinate plane. Denote
$$
\lambda = \frac{\max_{1 \le i \lt j \le 2023} d(P_i, P_j)}{\min_{1 \le i \lt j \le 2023} d(P_i, P_j)}.
$$
(1) Prove that $\lambda \ge 44$.
(2) Give an example of $P_1, P_2, \dots, P_{2023}$ such that $\lambda = 44$.
$$
d(A, B) = |x_1 - x_2| + |y_1 - y_2|.
$$
Let $P_1, P_2, \dots, P_{2023}$ be 2023 pairwise different points in the coordinate plane. Denote
$$
\lambda = \frac{\max_{1 \le i \lt j \le 2023} d(P_i, P_j)}{\min_{1 \le i \lt j \le 2023} d(P_i, P_j)}.
$$
(1) Prove that $\lambda \ge 44$.
(2) Give an example of $P_1, P_2, \dots, P_{2023}$ such that $\lambda = 44$.