Sorting

Insertion Sort

Build the sorted prefix one item at a time, shifting larger values right until the current key can be inserted.

Algorithm

The checked-in replay follows the same small input and final output across all 21 DSA books, so this Java DSA implementation can be compared directly with the other languages.

Basic Implementation

Basic.java 
class Basic {
	public static void main(String[] args) {
		int[] arr = new int[] { 5, 1, 4, 2, 8 };
		for (int i = 1; i < arr.length; i++) {
			int key = arr[i];
			int j = i - 1;
			while (j >= 0 && arr[j] > key) {
				arr[j + 1] = arr[j];
				j--;
			}
			arr[j + 1] = key;
		}
		printArray(arr);
	}

	static void printArray(int[] arr) {
		System.out.print("[");
		for (int i = 0; i < arr.length; i++) {
			if (i > 0) System.out.print(", ");
			System.out.print(arr[i]);
		}
		System.out.println("]");
	}
}

Complexity

  • Time: O(n^2) worst and average, O(n) best
  • Space: O(1)
  • Stable: yes

Implementation notes

  • Keep the explicit algorithmic steps instead of calling a standard-library sort. The replay is meant to expose comparisons, movement, and recursion.
  • The implementation is intentionally compact for learning and replay, not a production sorting utility.
sorted prefix Positions before the scan index are already sorted.
shifting Larger values move one slot right to make room for the key.