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Chapter 13

Algorithms, Recursion, Sorting, Searching, and Problem Solving in C

Apply C programming fundamentals to algorithmic thinking and implement common problem-solving patterns with attention to efficiency.

Inside this chapter

  1. Thinking Algorithmically
  2. Searching and Sorting
  3. Recursion and Divide-and-Conquer
  4. Complexity Awareness
  5. Real-World Usage Snapshot

Series navigation

Study the chapters in order for the clearest path from C basics to advanced memory, systems, debugging, and real-world development practice. Use the navigation at the bottom of each page to move smoothly through the full tutorial.

Tutorial Home

Chapter 13

Thinking Algorithmically

C is a strong language for algorithm learning because it keeps data representation visible. Students should think about time complexity, space complexity, loop invariants, and memory access patterns while implementing algorithms.

Chapter 13

Searching and Sorting

Linear search is simple but slow on large datasets. Binary search is much faster on sorted data. Sorting algorithms such as bubble sort, selection sort, insertion sort, merge sort, and quicksort reveal different tradeoffs in simplicity, performance, and implementation complexity.

void bubbleSort(int arr[], int n) {
    for (int i = 0; i < n - 1; i++) {
        for (int j = 0; j < n - i - 1; j++) {
            if (arr[j] > arr[j + 1]) {
                int temp = arr[j];
                arr[j] = arr[j + 1];
                arr[j + 1] = temp;
            }
        }
    }
}
Chapter 13

Recursion and Divide-and-Conquer

Recursive algorithms such as merge sort, tree traversal, backtracking, and factorial show elegant problem decomposition. Students should also know when an iterative solution is safer or more memory-efficient.

Chapter 13

Complexity Awareness

Concept Why It Matters
O(n)Linear growth with input size
O(log n)Efficient divide-and-conquer scaling
O(n^2)Often acceptable only for small data
Chapter 13

Real-World Usage Snapshot

Algorithms in C appear in schedulers, parsers, packet processing, indexing structures, embedded control loops, and compute-heavy libraries. Efficient code is not only about syntax; it is about choosing the right algorithm and data access strategy.

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