The set-partition problem takes as input a set S of numbers. Th... | Filo

SOLVED: 10. Consider the following optimization version of the PARTITION problem. Given a set X of positive integers, our task is to partition X into disjoint subsets A and B such that max{∑ A, ∑ B} is as small as possible. Solving this problem exactly is clearly NP-hard.(a) Prove that the following algorithm yields a (3/2)-approximation.GREEDYPARTITION (X[1 … n]): a ← 0 b ← 0 for i ← 1 to n if a<b a ← a X[i] else b ← b X[i] return max{a, b}(b) Prove that the approximation ratio 3 / 2 cannot be

18K views · 505 reactions | Level Streaming and Spatial Partitioning!   #rgbguy #gamedev #algorithms | RGBguy | Facebook

Unconventional K-D Tree Partitioning Algorithm | SideFX

Database Partitioning Techniques