problem356

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356. Line Reflection (Medium)

Given n points on a 2D plane, find if there is such a line parallel to y-axis that reflect the given points.

Example 1:

Input: [[1,1],[-1,1]]
Output: true

Example 2:

Input: [[1,1],[-1,-1]]
Output: false

Related Topics

[Hash Table] [Math]

Similar Questions

1. Max Points on a Line (Hard)
2. Number of Boomerangs (Easy)

Hints

Hint 1

Find the smallest and largest x-value for all points.

Hint 2

If there is a line then it should be at y = (minX + maxX) / 2.

Hint 3

For each point, make sure that it has a reflected point in the opposite side.