Introduction to Backtracking
In algorithm design, brute force or exhaustive search should not be used unless absolutely necessary[cite the Magic Square[cite 11]. The objective is to arrange the numbers such that the sum of each individual row, column, and corner-to-corner diagonal matches exactly[cite: 12].
Branch and Bound
When solving hard combinatorial problems, Backtracking provides an exact solution by executing a systematic Depth-First Search (DFS). However, it does so blindly, relying entirely on hitting an unfeasible boundary before turning around.