Crossing distribution of circuit wires between two regions using indexed binary search tree

In the problem of crossing distribution of circuit wires between two regions, the current algorithms of using either linear list or dynamic programming have the complexity of O(n
²
). In order to reduce the complexity of the existing algorithms, a more efficient algorithm of using indexed binary search tree is introduced in this paper. The effectiveness of the algorithm with a time consuming complexity of O(nlogn) is illustrated through the theoretical analysis and by demonstrating the experiment results of corresponding C++ program.