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Phase 6 - Category 4: Nested Logic & Patterns

Chapter 26 • Advanced

120 min

Phase 6 - Category 4: Nested Logic & Patterns

Introduction

This category focuses on nested loops, complex patterns, and multi-dimensional thinking. You'll create advanced patterns and solve problems requiring nested logic.

Key Concepts

Nested Loop Patterns

  • Multiplication Table: Grid of products
  • Pascal Triangle: Triangular number pattern
  • Spiral Patterns: Spiral arrangements
  • Number Grids: Multi-dimensional patterns

Complex Patterns

  • Pyramid Patterns: Multi-level structures
  • Diamond Patterns: Symmetric shapes
  • Number Sequences: Complex sequences
  • Character Patterns: Advanced character arrangements

Nested Logic

  • Nested Conditions: Multiple if statements
  • Loop within Loop: Nested iterations
  • Conditional Loops: Loops with complex conditions
  • Pattern Recognition: Identify pattern rules

Problem-Solving Approach

  1. Analyze Pattern: Understand structure
  2. Determine Rows/Columns: How many levels?
  3. Find Relationship: Formula for each position
  4. Implement Nested Loops: Outer for rows, inner for columns
  5. Handle Spacing: Add spaces for alignment

Common Patterns

Multiplication Table

python.js
for i in range(1, n+1):
    for j in range(1, n+1):
        print(i*j, end="\t")
    print()

Pascal Triangle Concept

  • Each number is sum of two above
  • First and last of each row are 1
  • Symmetric pattern

Tips

  • Start with simple patterns
  • Understand row-column relationship
  • Use helper functions for complex patterns
  • Test with small values first

Hands-on Examples

Multiplication Table Grid

# Take n as input
n = int(input("Enter number: "))

# Print multiplication table
print(f"Multiplication table for {n}:")
for i in range(1, n + 1):
    for j in range(1, n + 1):
        product = i * j
        print(f"{product:4}", end="")  # Format with width 4
    print()  # New line after each row

Use nested loops: outer loop for rows (i), inner loop for columns (j). Print product i*j. Format output for alignment.

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Phase 6 - Category 3: Array Logic
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Phase 6 - Category 5: Applied Problems

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