Draw a Maze and use the A* algorithm to navigate through the maze from an arbitrary starting position.
Added by Angela N.
Step 1
First, we need to draw a maze. We can use a grid system to create the maze, where each cell represents a square in the maze. We can use a symbol to represent the walls of the maze, and leave some cells open to represent the paths. Show more…
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A rat trapped in a maze. Initially it has to choose one of two directions. If it goes to the right, then it will wander around in the maze for 3 minutes and will return to its initial position. If it goes to left, then with probability 1/3 it will depart the maze after 2 minutes of traveling, and with probability 2/3 it will return to its initial position after 5 minutes of traveling. Assuming that the rat is at all times equally likely to go to the left or the right, what is expected number of minutes that it will be trapped in the maze?
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A rat is trapped in a maze. Initially it has to choose one of two directions. If it goes to the right, then it will wander around in the maze for three minutes and will then return to its initial position. If it goes to the left, then with probability $\frac{1}{3}$ it will depart the maze after two minutes of traveling, and with probability $\frac{2}{3}$ it will return to its initial position after five minutes of traveling. Assuming that the rat is at all times equally likely to go to the left or the right, what is the expected number of minutes that it will be trapped in the maze?
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