Build a mini spreadsheet: cells hold ints or formulas like =A1+B2, evaluate them and detect cycles
The practical build that's secretly a graph problem: formulas are a dependency DAG, evaluation is DFS with memoization, and the three-color cycle trick decides whether A1=B1, B1=A1 crashes you or earns the offer.
Updated Aug 2026 · Grounded in real Forward Deployed Engineer interview loops and written to a senior-engineer editorial bar.
The practical build that's secretly a graph problem: formulas are a dependency DAG, evaluation is DFS with memoization, and the three-color cycle trick decides whether A1=B1, B1=A1 crashes you or earns the offer.
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.
