Maze:
I~~$
Result: Path found

Maze:
I O $
Result: No path

Maze:

O $
O ~
O ~
O ~
O ~~~~~~~~~I

Result: Path found

Maze:

OOOOOOOOOOO
O $~~~~~ O
OOOOOOO~OOO
O ~~~ O
OOOOO~OOOOO
O~~~~~ O
O~OOOOOOOOO
O~~~~~~ OO
OOOOOO~~~IO

Result: Path found

Maze:

OOOOOOOOOOOOOOOOO
O ~~~ O
O$~~O~ O
OOOOO~ O
O ~~~~ O
O ~OOOOOOOOOOOOOO
O ~ O I O
O ~~~~~~~~~~~~~ O
OOOOOOOOOOOOOOOOO

Result: Path found