← Bytedance Interview Insights
My first instinct was dynamic programming because of the 'minimum steps' framing and the jump constraint, which felt like a classic staircase problem.
Model the problem as a shortest path on a directed graph where each index is a node and edges go from i to i+1 through i+10. Use BFS to find the minimum number of jumps to any index with value T, since all edges have unit weight. If no such index is reachable, return -1.
Pro tip: Clarify with the interviewer whether the cost of an index affects the jump count or is just a value to match; the problem statement says 'cost equal to its value' but asks for minimum jumps, so the cost is likely irrelevant except for matching T. Also, mention that BFS is optimal here because each jump counts as one step, and early termination when T is found ensures efficiency.
Confirm that you start at index 0, can jump 1 to 10 positions forward, and need the minimum number of jumps to land on an index with value T. Ask about edge cases like T at index 0, array length, and negative values.
Recognize this as a shortest path problem on an unweighted graph, so BFS is ideal. Alternatively, dynamic programming can be used, but BFS naturally finds the minimum jumps.
Initialize a queue with index 0 and a jumps count of 0. For each index, check if its value equals T; if so, return jumps. Otherwise, enqueue all reachable indices (i+1 to i+10) that are within bounds and not visited.
If the queue empties without finding T, return -1. Also handle cases where T is at index 0 (return 0 jumps) and ensure you don't revisit indices to avoid cycles.
Time complexity is O(N * 10) = O(N) since each index is enqueued at most once and we check up to 10 neighbors. Space complexity is O(N) for the queue and visited set. Mention that early termination can improve average performance.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.