Jump Game

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Problem

Given an array nums where nums[i] is the maximum jump length from position i, starting at index 0, determine whether it is possible to reach the last index.

Examples

Example 1

Input:nums = [2,3,1,1,4]

Output:true

Example 2

Input:nums = [3,2,1,0,4]

Output:false

You always land on index 3, which has a jump length of 0.

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.

Read the full Greedy guide →

Video walkthroughs

Original problem on LeetCode ↗