backtracking

Backtracking underlies permutations, subsets, N-queens, and constraint problems. Interviewers look for the choose/explore/un-choose template plus pruning, and knowing exactly which knob distinguishes permutations from combinations.

Generating then filtering costs O(2^(2n)) and wastes effort. Backtracking with two counters builds only valid strings by applying the balance rule at every step. Here is the template and why the pruning conditions are exactly right.