The three loss conditions threw me off at first.
Start by clarifying the problem constraints and defining the state space (position, velocity, coins). Then propose a dynamic programming or greedy strategy that balances coin collection with survival, and discuss trade-offs between optimality and computational complexity.
Pro tip: Emphasize safety: always ensure a safe landing spot before jumping, and consider worst-case scenarios. Also, mention that you would write unit tests for edge cases like no coins or narrow passages.
Ask questions to understand the map representation, character movement, jump mechanics, and win/lose conditions. Confirm whether the map is static or dynamic, and if there are obstacles besides boundaries.
Identify the state variables: character's position (x, y), velocity, remaining coins, and collected coins. Define possible actions: move left/right, jump (costs a coin), and do nothing.
Consider dynamic programming (e.g., DP over position and coins) or greedy with lookahead. Discuss trade-offs: DP guarantees optimality but may be computationally heavy; greedy is faster but may fail in complex maps.
Ensure the strategy avoids hitting boundaries and running out of coins. Plan for edge cases like no coins, unreachable coins, or forced jumps.
Evaluate time and space complexity of the chosen approach. Suggest optimizations like memoization or pruning to improve performance.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.