Practice Count Number of Trapezoids I
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Count Number of Trapezoids I
You are given a 2D integer array points, where points[i] = [xi, yi] represents the coordinates of the ith point on the Cartesian plane. A horizontal trapezoid is a convex quadrilateral with at least one pair of horizontal sides (i.e. parallel to the x-axis). Two lines are parallel if and only if they have the same slope. Return the number of unique horizontal trapezoids that can be formed by choosing any four distinct points from points. Since the answer may be very large, return it modulo 10^9 + 7.
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Problem Statement
You are given a 2D integer array points, where points[i] = [xi, yi] represents the coordinates of the ith point on the Cartesian plane. A horizontal trapezoid is a convex quadrilateral with at least one pair of horizontal sides (i.e. parallel to the x-axis). Two lines are parallel if and only if they have the same slope. Return the number of unique horizontal trapezoids that can be formed by choosing any four distinct points from points. Since the answer may be very large, return it modulo 10^9 + 7.
Source: Count Number of Trapezoids I on LeetCode. Use the original task for its coding environment and submissions.
Count Number of Trapezoids I
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Examples
# Example 1
points = [[1,0],[2,0],[3,0],[2,2],[3,2]]
3
# Example 2
points = [[0,0],[1,0],[0,1],[2,1]]
1
Constraints
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