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Basics of DSA in dsa

Context & Logic

DSA basics involve understanding time and space complexity, recursion, and dry run techniques. These fundamentals help in analyzing and optimizing algorithms.

Example

O(1) < O(log n) < O(n) < O(n log n) < O(n²) < O(2ⁿ)

Step-by-Step Logic

1

Simplify the algorithm to its core operations.

2

Identify the dominant term (highest power of n).

3

Consider the worst-case scenario (Big-O).

4

For recursion, define a base case to prevent stack overflow.

5

Iterative approach: Use loops; Recursive approach: Use self-calls with smaller inputs.

Complexity Metrics

Time Efficiency

Varies per algorithm

Memory Footprint

O(1) for iterative, O(n) for recursive stack