Question

Are all points within a rectangle

Write functionAllIn()in Python which returnsbooleanTrue only if all points in the list are in the rectangle.

For example,

• allIn((0,0), (5,5), [(1,1), (0,0), (5,5)])should returnTrue
• butallIn((5,5), (0,0), [(1,1), (0,0), (5,6)])should returnFalse
• empty list of pointsallIn((0,0), (5,5), [])should returnFalse

1.In this assignment, we assume that the edges of the rectangle are parallel to coordinate axes.

1. We also assume that the first parameter does not always represent the left corner of the rectangle and the second parameter is not always the right corner. The function should work correctly either way. Please note the second test condition above where the first parameter,(5,5), represents the top-right corner and the second parameter,(0,0), represents left-bottom corner.

Make sure that your function returnsFalsefor empty list of points (no values).

Test your function with at least 3 different sets of data points.