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:
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- Python - Find the maximum number of triangles with given points on three lines
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