Question 126
Determine if there exists a connected figure $F$ that consists of $1\times 1$ squares and satisfies the following conditions:
* it consists of $s$ $1\times 1$ squares and is not a rectangle;
* any $k\times s$ rectangle, where $k \ge s$, can be split into figures that coincide with $F$.
A figure that consists of $1\times 1$ squares is called *connected* if one can get from any cell to any cell by moving to adjacent cells.
**Fig. 16**
**Fig. 17**
* it consists of $s$ $1\times 1$ squares and is not a rectangle;
* any $k\times s$ rectangle, where $k \ge s$, can be split into figures that coincide with $F$.
A figure that consists of $1\times 1$ squares is called *connected* if one can get from any cell to any cell by moving to adjacent cells.
**Fig. 16**
**Fig. 17**