Unusual movement on the lattice grid
Source: ICMC 7 Round 1 Problem 2
January 8, 2024
combinatoricslattice pointsICMC
Problem Statement
Fredy starts at the origin of the Euclidean plane. Each minute, Fredy may jump a positive integer distance to another lattice point, provided the jump is not parallel to either axis. Can Fredy reach any given lattice point in 2023 jumps or less?Proposed by Tony Wang