Image of median geometry11/8/2023 ![]() ![]() Geometric median using an iterative procedure in which each step However, it is straightforward to calculate an approximation to the This algorithm takes advantage of what this wikipedia paragraph on the geometric median says: Then I think It's correct to pick the one from your list that is closest to the (x, y) returned by this algorithm. ![]() print the answer with 4 decimal points jumped too much, and now we need to head back some. half the step size, because no update has been made, so we might have don't half step in the next iteration, because we might need if a neighbor offers a better sum of distances find the sum of distances to each neighbor check the neighbors in all 4 directions. finds the sum of (euclidean) distances from each input point to (x, y) controls the precision - this should give you an answer accurate to 3 decimalsįILE *in = fopen("adapost2.in","r"), *out = fopen("adapost2.out","w") by using these constants: (x + dx, y + dy) = upper neighbor etc. given a point (x, y) on a grid, we can find its left/right/up/down neighbors header files for IO functions and math The program executes in 0.1s on a 2ghz pentium 4. This was my C++ code, and N could be as large as 50000. The only difference was that the point I had to find did not have to be part of the N given points. That was the official solution as well and the program got AC. I solved something similar for a local online judge once using simulated annealing. ![]()
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