MathDB

The figure obtained by removing one small unit square from the

2\times 2

grid table is called an

L

''shape". .Put

k

L-shapes in an

8\times 8

grid table. Each

L

-shape can be rotated, but each

L

shape is required to cover exactly three small unit squares in the grid table, and the common area covered by any two

L

shapes is

0

, and except for these

k

L

shapes, no other

L

shapes can be placed. Find the minimum value of

k

Problem Statement