Computational Math

Common problems:

• geometry formulas
• interval overlap
• prefix sums / area decomposition
• sweep line
• segment tree / union intervals
• rectangle counting

Easy (Foundational Geometry / Math)

• Rectangle Overlap - Check if rectangles intersect, bounding box logic, axis-aligned intersection
• Largest Triangle Area - shoelace
• Projection Area of 3D Shapes - grid geometry
• Count Lattice Points Inside a Circle area decomposition, distance formula

Medium (Important Interview Patterns)

• Rectangle Area - area decomposition, intersection math, area(A) + area(B) − overlap
• Minimum Area Rectangle - hashing + geometry, rectangle detection
• Minimum Area Rectangle II - vector geometry, dot products, rotated rectangles
• Random Point in Non-overlapping Rectangles - prefix sums, weighted random, geometry
• Max Sum of Rectangle No Larger Than K - 2D prefix sums, ordered set

Hard (Advanced Geometry / Sweep Line)

• Perfect Rectangle - corner counting, area verification, hash set
• Rectangle Area II - line sweep, segment tree, union of intervals
• The Skyline Problem - line sweep, heap, events
• Amount of New Area Painted Each Day - interval union, segment tree, sweep line
• Falling Squares - segment tree, coordinate compression, range max
• Maximum White Tiles Covered by a Carpet - interval sweep, two pointers