CPKit
v1.6.1

Prefix Sum Matrix

AlgorithmsMedium

Precompute subgrid sums for O(1) range queries and visualize regions.

Alt+Shift+6

Configuration Panel

Subgrid Range Query Bounds (1-based index)

Complexity Indices

Time ComplexityO(R * C) build, O(1) query
Auxiliary SpaceO(R * C) prefix grid
Conceptual Overview

2D Prefix Sum precalculates region totals such that any subgrid sum query is evaluated in O(1) constant time, avoiding double loops.

Source: CP-Algorithms reference guide