What is the minimum number of squares to be drawn on a paper in order to obtain an $8\times8$ table divided into $64$ unit squares.
Notes:
-The squares to be drawn can be of any size.
-There will be no drawings outside the table.
2026-04-23 02:40:56.1776912056
What is the minimum number of squares to be drawn on a paper in order to obtain an 8x8 table divided into 64 unit squares?
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Puzzleup answer is $14$.
But solution for $15$ is:
Start out with a blank $8*8$ square ($1$ square) that can house $64$ small squares. Starting in the top-left corner, draw a $1*1$ square. Then, draw a $2*2$ in that same corner overlapping the first. Repeat this until you have the $7*7$ square.
Then, start at the bottom right with the same process. Draw a $1*1$, a $2*2$, etc. You only have to draw $7$ this time again. Now you've got a $64$ square unit grid made of exactly $15$ squares $(1+7+7)$.
An accompanying visual: