Generate all valid combinations of n pairs of parentheses.
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.
Updated Sep 2026 · Grounded in real GenAI, LLM, and AI/ML engineering interview loops and written to a senior-engineer editorial bar.
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.
Lead with where the obvious approach breaks, because that is the judgment they are screening for — most candidates jump straight to the happy path and lose the room.
Then walk the failure back through the pipeline in order, naming the one metric the customer's exec sponsor actually cares about before you propose the fix.
