Putnam 2021 problem A1

Описание к видео Putnam 2021 problem A1

Explaining the strategy and solving the grasshopper problem from the William Lowell Putnam Math Competition 2021, problem A1.

A grasshopper starts at the origin in the coordinate plane and makes a sequence of hops. Each hop has length 5, and after each hop the grasshopper is at a point whose coordinates are both integers; thus, there are 12 possible locations for the grasshopper after the first hop. What is the smallest number of hops needed for the grasshopper to reach the point (2021, 2021)?

0:00 Intro
1:09 Problem
1:39 Strategize
9:15 Solution

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