Given three integers m, n and k that store the number of points on lines l1, l2 and l3 respectively that do not intersect. The task is to find the number of triangles that can possibly be formed from these set of points.
Input: m = 3, n = 4, k = 5 Output: 205 Input: m = 2, n = 2, k = 1 Output: 10
- The total number of points are (m + n + k) which must give number of triangles.
- But ‘m’ points on ‘l1’ gives combinations which cannot form a triangle.
- Similarly, and number of triangles can not be formed.
- Therefore, Required Number of Triangles =
Below is the implementation of the above approach:
- Number of Triangles that can be formed given a set of lines in Euclidean Plane
- Total number of triangles formed when there are H horizontal and V vertical lines
- Number of triangles that can be formed with given N points
- Number of triangles in a plane if no more than two points are collinear
- Number of lines from given N points not parallel to X or Y axis
- Number of pairs of lines having integer intersection points
- Number of triangles formed by joining vertices of n-sided polygon with one side common
- Forming triangles using points on a square
- Maximum points of intersection n lines
- Count of triangles with total n points with m collinear
- Find whether only two parallel lines contain all coordinates points or not
- Number of triangles formed by joining vertices of n-sided polygon with two common sides and no common sides
- Count of different straight lines with total n points with m collinear
- Prime points (Points that split a number into two primes)
- Number of Integral Points between Two Points
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