Question: Let P be a convex polygon whose vertices are stored in an array in counter-clockwise order. Provide an O(log n) time algorithm for computing the

Let P be a convex polygon whose vertices are stored in an array in counter-clockwise order.

Provide an O(log n) time algorithm for computing the distance from P to a query point q that lies outside of P.

Let P be a convex polygon whose vertices are stored in an

Please give the pseudo code and the steps about how to solve the two problems in the above picture. Thank you!

input: list of vertices of the convex polygon, such as {p3, p4, p2, p1} shown in the figure question 1

output: the distance from P to q

1 P. 2. 4

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