Jump Game II

MediumGreedy
Asked byAmazonAppleBloombergGoogleDoorDashtiktok

Problem

Given an array where nums[i] is the maximum jump length from position i, return the minimum number of jumps needed to reach the last index (it's guaranteed to be reachable).

Examples

Example 1
Input:nums = [2,3,1,1,4]
Output:2
Jump from index 0 to 1, then to 4.

Constraints

  • 1 <= nums.length <= 10^4

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How to approach it: the Greedy pattern

Make the choice that looks best right now, without reconsidering it later, and trust that a sequence of locally optimal choices adds up to a globally optimal answer. It only works when the problem actually has that property.

Look for this pattern when

  • Sorting the input by some key, then making one pass with simple local decisions, intuitively seems to produce the best answer.
  • The problem involves intervals, scheduling, or resource allocation where "always take the best available option" tends to work.

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Original problem on LeetCode ↗

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