Backtracking algorithms are a type of exhaustive search technique used to solve problems. The core approach involves starting from an initial state and exploring all possible solutions by trying each choice once. Only correct solutions are recorded, and the search continues until a solution is found or all choices are tried. This method utilizes depth-first search to traverse the solution space.
The permutation problem involves finding all possible arrangements of elements from a given set using a backtracking algorithm. This problem can be approached considering either arrays without duplicate elements or arrays that include duplicates.
The Subset Sum Problem involves finding all possible combinations of elements in a given array such that their sum equals a specified target. This problem is a classic example of using backtracking for combinatorial exploration. It has variations based on whether duplicate elements are allowed in the input set and whether each element can be chosen more than once.