MathDB
7x7 being colored

Source: mayo 2015

May 4, 2021
combinatoricsboard

Problem Statement

We have a 7x7 board. We want to color some 1x1 squares such that any 3x3 sub-board have more painted 1x1 than no painted 1x1. What is the smallest number of 1x1 that we need to color?