Line Segment

Given a list of [x, y] coordinates in a Cartesian plane, return whether the coordinates form a straight line segment.

Constraints

• n ≤ 100,000 where n is the length of coordinates.

https://binarysearch.com/problems/Line-Segment

Examples

Example 1

Input

• coordinates =

[[1,1],
 [3,3],
 [7,7]]

Output

• answer = True

Explanation

This forms a line segment with a slope 1

Example 2

Input

• coordinates =

[[1,1],
 [3,3],
 [4,6]]

Output

• answer = False

Explanation

The 3 points don’t form a line segment, since the slope between [1, 1] and [3, 3] is 1 but the slope between [3, 3] and [4, 6] is 3.

Solution