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I stared at this for a second because it felt more like a logic puzzle than a software question.
Treat the problem as a constraint satisfaction problem: define variables for each candidate's day, translate each constraint into a logical relation, then systematically eliminate possibilities. Use a small example or truth table to verify your deductions, and clearly explain each step of your reasoning.
Pro tip: Before diving into constraints, restate the problem in your own words and confirm your understanding with the interviewer—this avoids solving the wrong problem and shows structured thinking.
Restate the problem, confirm the number of candidates and days, and list all constraints explicitly. Define variables (e.g., C1, C2, C3 for candidates; D1, D2, D3 for days).
Convert each ordering or exclusion constraint into a formal logical statement (e.g., 'A before B' means day(A) < day(B); 'C not on day 2' means day(C) ≠ 2).
Start with the most restrictive constraint and branch out. Use a table or grid to track possible assignments, eliminating options that violate any constraint.
Check that the final assignment satisfies all constraints. Walk through your reasoning step-by-step, highlighting key deductions and why alternatives were ruled out.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.