Create a path for a mouse to travel in a maze. Use a 2 dimensional array and start the mouse in location array [0][0]. The mouse must find its way to the opposite corner. Repeatedly get a random number representing one of 8 possible moves. A legal move is one that moves forward, and does not run into the edge of the maze and does not land on a previous move. If the move is illegal the poor mouse must start over with location [0][0]. Going forward is defined as the sum of the array indexes either increasing or staying the same. With each safe mouse move introduce a cat that may eat the mouse. The cat is a block of 4 maze location forming a square. With each safe move made by the create a cat. The random number generator generates a location that serves as the upper left corner location of the cat. The random number id dependent on the size and shape of the maze when the maze is first created. If the cat catches the mouse the mouse must begin again. Make those operations methods that can be called in order to accomplish the cat aspect of the problem (make the cat as number -1 then turn -1 into letter C). Use four or more methods to implement the cat part of the project. Allow the mouse to repeatedly run the maze and choose the size of the two dimensional maze. The output consist of three numbers. First number is the number of times the mouse must start over before he finds a path from beginning to the end, the second is the number of times he falls off the maze and the third is the number of times the cat catches the mouse. Then print the array to the screen showing the path that was successful.

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this how output should look like:

this program finds a path for a mouse from one corner to another

in a two dimensional maze.

Please enter the size of the maze.

How many rows would you like?

10

How many columns would you like?

12

It took 1,483,505 attempts to find a path.

The cat got the mouse 41,672 times.

The mouse fell off the maze 437,806 times.

1 0 0 0 0 0 0 0 0 0 0 0

0 2 3 0 0 0 0 0 0 0 0 0

0 0 0 4 5 0 0 0 0 0 0 0

0 0 0 0 0 6 0 0 0 0 0 0

0 0 0 0 0 7 0 0 0 0 0 0

0 0 0 0 0 8 0 0 0 0 0 0

0 0 C C 0 0 9 0 0 0 0 0

0 0 C C 0 0 0 10 12 13 14 0

0 0 0 0 0 0 0 11 0 0 15 0

0 0 0 0 0 0 0 0 0 0 0 16