Fading Coder

Given $n$ points $(x_i, y_i)$ and $m$ rectangles, determine the number of points inside each rectangle. Solution Approach The problem requires counting points satisfying $l_j \le x_i \le r_j$ and $d_j \le y_i \le u_j$. By applying inclusion-exclusion, the count for a rectangle can be expressed as: $...

Sparse Table (ST) is a data structure for answering range queries on static arrays. It differs from standard dynamic programming approaches by storing information only for intervals with lengths that are powers of two. Standard interval DP might define a state dp[l][r] representing data for the inte...