Already have an account? Log in here.
Computers are being used more and more to solve geometric problems, like modeling physical objects such as brains and bridges.
In the figure above the closest pair of points have been marked in red. Given a set of points shown below, let \(d\) be the distance between the closest pair of point. Then what is the value of \(\left\lfloor 100d \right\rfloor\)?
\[S=\{(4,0), (6,2), (9,4), (8,9), (1,2), (3,5), (3, 1)\}\]
Already have an account? Log in here.
Let the two closest points in the following set of coordinate points be \(P_1=(x_1,y_1)\) and \(P_2 = (x_2,y_2)\). What is the value of \(x_1+y_1+x_2+y_2\)?
Already have an account? Log in here.
Given a polygon \(P\) and a point \(p\) implement an algorithm to check whether the point lies inside the polygon or not.
The algorithm should output \(1\) if the point is inside the polygon, and \(0\) if it isn't. Consider the following pairs of polygon and point shown below, if \(l_{n}\) in the value output by the algorithm for the \(n\)th pair of polygon and point, what is the value of the string \([l_{1}l_{2}l_{3}l_{4}]\)?
\(P_1=[(2, 1), (1, 3), (3, 3)], \\ p_1=(1,1)\)
\(P_2=[(2, 4), (4, 2), (6, 8), (8,6)], \\ p_2=(3,3)\)
\(P_3=[(5,2), (8,2), (8,4), (5,4)], \\ p_3=(6,1)\)
\(P_4= [(2,2), (2,2), (6,0), (6,0)], \\ p_4=(3,1)\)
Details and assumptions
The points lying on the border of the polygon are considering to be inside the polygon
Already have an account? Log in here.
How many of the \(24\) triangles below enclose the origin within their perimeter?
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 

Already have an account? Log in here.
Problem Loading...
Note Loading...
Set Loading...