Posts published in “Geometry”

Problem:

Given n points on a 2D plane, find the maximum number of points that lie on the same straight line.

Idea:

count by slope

Time complexity: O(n^2)

Space complexity: O(n)

Solution:

C++ / long

Problem:

Given a set of non-overlapping intervals, insert a new interval into the intervals (merge if necessary).

You may assume that the intervals were initially sorted according to their start times.

Example 1:
Given intervals [1,3],[6,9], insert and merge [2,5] in as [1,5],[6,9].

Example 2:
Given [1,2],[3,5],[6,7],[8,10],[12,16], insert and merge [4,9] in as [1,2],[3,10],[12,16].

This is because the new interval [4,9] overlaps with [3,5],[6,7],[8,10].

Idea:

Find the position of the new interval, insert it into the list and call MergeIntervals in LeetCode 56

Solution:

C++

Python

Solution 2:

C++

Python

Related problems:

Problem:

Given a collection of intervals, merge all overlapping intervals.

For example,
Given [1,3],[2,6],[8,10],[15,18],
return [1,6],[8,10],[15,18].

Idea:

Sweep line

Solution:

C++

Python

Related Problems: