Define the cost of a lattice point (i, j) to be i × j. A particle starts at (0, 0) and makes a series of 10 hops. Each hop increases the particle’s x-coordinate by 1 or y-coordinate by 1. Let the price of the particle’s path be the sum of the costs of the lattice points it meets, including (0, 0) and its final position. Find the maximum price of any path the particle can take.

Posted by Larry on 2025-04-26 09:09:40