Week 12 of 43
Foundation
WEEK 12 LEARNING MODULE
Problem-Solving Consolidation: Python Data Structures & Math
A comprehensive consolidation session applying all Foundation phase concepts (lists, sets, maps, classes, Big-O, 7-steps) to diverse challenge problems.
3 Practice Problems3 Core ConceptsVerified Curriculum: high Confidence
What You'll Learn
- ✓Synthesize Python data structures to solve mixed algorithmic problems.
- ✓Apply mathematical digit simulation and digital root concepts ($O(1)$ math vs $O(\log n)$ loops).
- ✓Utilize character frequency counting and bitwise XOR for difference detection.
- ✓Consolidate foundation knowledge in preparation for Core DSA (Phase 1).
Core Concepts
Digital Root & Math Simulation
O(1) or O(log n)Iterative digit summing versus the O(1) mathematical formula: 1 + (num - 1) % 9.
Character Frequency Validation
O(n)Checking subset counts using collections.Counter or fixed-size 26-element arrays.
XOR Difference Detection
O(n) time, O(1) spaceFinding the single added character across two strings by XORing all character ordinals.
Algorithms Covered
Digital Root ComputationFrequency MappingBitwise Character Difference Search
Data Structures Applied
Hash MapsStringsIntegers
Lecture Materials
Hands-On Coding & Practice Session
No formal slide deck was attached for this review week. Focus on mastering the curated practice problems and core algorithmic paradigms above.
Curated Practice Problems (3)
LeetCode
W12