A point in two$-$dimensions can be represented by an x$-$ and y$-$coordinate. In this problem, you will write a Point class to store and work with such points.

The $\_\_$init$\_\_$ definition for the Point class is provided. Note that this accepts two arguments: the x$-$ and y$-$coordinates of the point.

Also included is the $\_\_$repr$\_\_$ method, which outputs a canonical string representation of the point. Do not change this method, as we use it for tests. Note that the output of $\_\_$repr$\_\_$ could be copied into the interpreter in order to create an identical point. This is a characteristic of good $\_\_$repr$\_\_$ methods.

Task

Write a methoddist$\_$to$\_$point$($self$,$ other: Point$)->$ float

that returns the Euclidean distance between the points self and other. You may use math.sqrt$.$

Write a method is$\_$near$($self$,$ other: Point$)->$ bool

that determines if two points are close. Two points are considered close if their Eucldiean distance is less than the global constant EPSILON.

Remember that you can use dist$\_$to$\_$point in this method by evoking self.dist$\_$to$\_$point.

Write a method add$\_$point$($self$,$ other: Point$)->$ None

that adds the x $($and y$)$ component of other to the x $($and y$)$ component of self. Note this method returns None and therefore the change only modifies the current instance of self.