Joao jumps 2^{k-1} meters at jump k
Source: Portugal OPM 1995 p1
May 18, 2024
number theory
Problem Statement
Joao Salta-Pocinhas jumps meter in the first jump, meters in the second, meters in the third, . . ., meters in jump number . Is there any possibility for Joao to choose the directions of his jumps in order to get back to the starting point?