Description

Given an array of non-negative integers, you are initially positioned at the first index of the array.

Each element in the array represents your maximum jump length at that position.

Determine if you are able to reach the last index.

Example 1:

Input: [2,3,1,1,4]
Output: true
Explanation: Jump 1 step from index 0 to 1, then 3 steps to the last index.

Example 2:

Input: [3,2,1,0,4]
Output: false
Explanation: You will always arrive at index 3 no matter what. Its maximum
             jump length is 0, which makes it impossible to reach the last index.

Solutions

1. Greedy

# Time: O(n)
# Space: O(1)
class Solution:
    def canJump(self, nums: List[int]) -> bool:
        max_i = 0
        for i, num in enumerate(nums):
            if max_i < i:
                return False
            max_i = max(max_i, i + num)
        return True

# 75/75 cases passed (84 ms)
# Your runtime beats 93.56 % of python3 submissions
# Your memory usage beats 7.14 % of python3 submissions (14.8 MB)

References

  1. 55. Jump Game