Write a program that takes as input two opposite corners of a rectangle: the lower left-hand...

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Write a program that takes as input two opposite corners of a rectangle: the lower left-hand corner (x1, y1) and the upper right-hand corner (x2, y2). Finally, the user is prompted for the coordinates of a third point (x, y). The program should print Boolean value True or False based on whether the point (x, y) lies within the rectangle. Take input exactly as shown below or you will lose points. 8 y 7 6 5 4 3 A B 2 1 -8 -7 6 5 4 3 2 10 1 2 3 4 5 6 7 8 -1 2 D C E- 4 -5 -6 7 -8 Write a program that takes as input two opposite corners of a rectangle: the lower left-hand corner (x1, y1) and the upper right-hand corner (x2, y2). Finally, the user is prompted for the coordinates of a third point (x, y). The program should print Boolean value True or False based on whether the point (x, y) lies within the rectangle. Take input exactly as shown below or you will lose points. 8 y 7 6 5 4 3 A B 2 1 -8 -7 6 5 4 3 2 10 1 2 3 4 5 6 7 8 -1 2 D C E- 4 -5 -6 7 -8