Start by clarifying the problem and edge cases, then propose a greedy solution that tracks the farthest reachable index while scanning the array. Explain why the greedy approach is optimal and analyze its time and space complexity.
Pro tip: After presenting the greedy solution, mention that a dynamic programming approach exists but is less efficient, showing you understand trade-offs. Also, proactively discuss edge cases like empty arrays or single-element arrays to demonstrate thoroughness.
Restate the problem in your own words and ask clarifying questions about input constraints, edge cases, and expected output format.
Discuss possible strategies such as dynamic programming or greedy, and compare their time and space complexities to justify your choice.
Outline the greedy algorithm: iterate through the array, maintain the farthest reachable index, and update it based on the current index and jump length.
Trace the algorithm on a sample input to demonstrate correctness and help the interviewer follow your logic.
State the time and space complexity, and discuss how the algorithm handles edge cases like empty arrays, single element, or unreachable last index.
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