MathDB
max no of 6 pieces crosses in a 6x11 sheet of paper

Source: Czech-Polish-Slovak Match Junior 2021, individual p3 CPSJ

September 12, 2021
combinatoricscombinatorial geometry

Problem Statement

A cross is the figure composed of 66 unit squares shown below (and any figure made of it by rotation). https://cdn.artofproblemsolving.com/attachments/6/0/6d4e0579d2e4c4fa67fd1219837576189ec9cb.png Find the greatest number of crosses that can be cut from a 6×116 \times 11 divided sheet of paper into unit squares (in such a way that each cross consists of six such squares).