Well, the idea of O(logN) derives from the ray algorithm. You need to consider that if you launch a ray algorithm, you will get at most 2 crossings ( polygon is convex). So if you get the leftmost and the rightmost points and divide the polygon in 2 parts — an upper part and a...
the point lies inside the polygon. One way to compute the winding number is to sum up the angles subtended by each side of the polygon." So if the angle is exactly zero, than the point is outside.
Input The first line of the input file contains an integerT(1≤T≤10), which indicates the number of test cases. For each test case, there are one lines,includes a integerN(2≤N≤10^5),indicating the number of dots of the polygon. Output For each test case, there are one lines,in...
Input The first line of the input file contains an integerT(1≤T≤10), which indicates the number of test cases. For each test case, there are one lines,includes a integerN(2≤N≤10^5),indicating the number of dots of the polygon. Output For each test case, there are one lines,in...
What is the best approach finding the shortest distance between a point and a polygon or a route (route = first and last point are not connected)? I think that the brute force here is take the shortest distance between this point and all the segments and It takes O(n) time where n ...