MathDB
10000 trees in a park, arranged in a 100x100 square grid

Source: 1997 German Federal - Bundeswettbewerb Mathematik - BWM - Round 1 p4

January 27, 2020
gridcombinatorics

Problem Statement

There are 1000010000 trees in a park, arranged in a square grid with 100100 rows and 100100 columns. Find the largest number of trees that can be cut down, so that sitting on any of the tree stumps one cannot see any other tree stump.