MathDB
2021 Spring LMT Division B Problem 6

Source:

January 22, 2022
combinatorics

Problem Statement

Maisy is at the origin of the coordinate plane. On her first step, she moves 11 unit up. On her second step, she moves 1 1 unit to the right. On her third step, she moves 22 units up. On her fourth step, she moves 22 units to the right. She repeats this pattern with each odd-numbered step being 1 1 unit more than the previous step. Given that the point that Maisy lands on after her 2121st step can be written in the form (x,y)(x, y), find the value of x+yx + y.
Proposed by Audrey Chun