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Phase 6 - Category 3: Array Logic

Chapter 25 • Advanced

105 min

Phase 6 - Category 3: Array Logic

Introduction

This category focuses on complex array operations combining multiple concepts - searching, transformation, aggregation, and logical analysis.

Key Concepts

Advanced Array Operations

  • Sorting Validation: Check if array is sorted
  • Element Positioning: Place elements at specific indices
  • Range Operations: Operations on array ranges
  • Multi-pass Processing: Multiple iterations over array

Complex Transformations

  • Shift Zeros: Move zeros to end
  • Even at Even Index: Place even numbers at even indices
  • Rotate Operations: Rotate array by positions
  • Alternate Swapping: Swap elements at alternate positions

Array Analysis

  • Second Largest/Smallest: Find second extremes
  • Elements Above Average: Count and find
  • Sum Excluding Extremes: Sum without max and min
  • Frequency Analysis: Count occurrences

Problem-Solving Approach

  1. Understand Requirement: What transformation needed?
  2. Plan Steps: Single pass or multiple passes?
  3. Handle Edge Cases: Empty, single element, all same
  4. Optimize: Can we solve efficiently?

Common Patterns

Two-Pass Operations

  • First pass: Find max/min
  • Second pass: Perform operation

In-Place Transformation

  • Modify array while iterating
  • Use two pointers technique

Conditional Processing

  • Process elements based on conditions
  • Filter and transform simultaneously

Hands-on Examples

Shift Zeros to End

# Take array
n = int(input("Enter array size: "))
arr = []
for i in range(n):
    arr.append(int(input(f"Enter element {i+1}: ")))

# Shift zeros to end
non_zeros = []
zeros = []

for element in arr:
    if element == 0:
        zeros.append(0)
    else:
        non_zeros.append(element)

# Combine
result = non_zeros + zeros
print(f"Array with zeros at end: {result}")

Separate array into non-zero and zero elements. Combine non-zeros first, then zeros. This preserves order of non-zero elements.