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Suppose the Jump Game II problem changes: now you must find the minimum jumps to reach the last index, but each jump has a cost equal to the jump length. Which approach best adapts to this variant?

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Greedy Algorithms - Jump Game II (Minimum Jumps)
Suppose the Jump Game II problem changes: now you must find the minimum jumps to reach the last index, but each jump has a cost equal to the jump length. Which approach best adapts to this variant?
APure recursion without memoization
BBFS level order traversal with uniform jump cost
CGreedy approach tracking furthest reach and current end
DDijkstra's algorithm treating indices as graph nodes with weighted edges
Step-by-Step Solution
Solution:
  1. Step 1: Understand cost variant

    Jump cost depends on jump length, so uniform cost BFS or greedy won't work.
  2. Step 2: Identify suitable algorithm

    Dijkstra's algorithm handles weighted edges, modeling jumps as edges with costs.
  3. Final Answer:

    Option A -> Option A
  4. Quick Check:

    Weighted shortest path -> Dijkstra's algorithm [OK]
Quick Trick: Weighted jumps -> use Dijkstra's algorithm [OK]
Common Mistakes:
MISTAKES
  • Trying greedy on weighted jumps
  • Assuming BFS works with variable costs
Trap Explanation:
PITFALL
  • Candidates often try greedy or BFS ignoring variable jump costs.
Interviewer Note:
CONTEXT
  • Tests ability to adapt approach to weighted jump costs.
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