Problem Link

Description


You are given a 0-indexed integer array nums and an integer k.

You are initially standing at index 0. In one move, you can jump at most k steps forward without going outside the boundaries of the array. That is, you can jump from index i to any index in the range [i + 1, min(n - 1, i + k)] inclusive.

You want to reach the last index of the array (index n - 1). Your score is the sum of all nums[j] for each index j you visited in the array.

Return the maximum score you can get.

 

Example 1:

Input: nums = [1,-1,-2,4,-7,3], k = 2
Output: 7
Explanation: You can choose your jumps forming the subsequence [1,-1,4,3] (underlined above). The sum is 7.

Example 2:

Input: nums = [10,-5,-2,4,0,3], k = 3
Output: 17
Explanation: You can choose your jumps forming the subsequence [10,4,3] (underlined above). The sum is 17.

Example 3:

Input: nums = [1,-5,-20,4,-1,3,-6,-3], k = 2
Output: 0

 

Constraints:

  • 1 <= nums.length, k <= 105
  • -104 <= nums[i] <= 104

Solution


Python3

class Solution:
    def maxResult(self, nums: List[int], k: int) -> int:
        queue = collections.deque()
        
        for i in range(len(nums)):
            mmax = 0 if not queue else nums[queue[0]]
            nums[i] += mmax
            
            while queue and nums[i] > nums[queue[-1]]:
                queue.pop()
            
            queue.append(i)
            
            if i - queue[0] >= k:
                queue.popleft()
        
        return nums[-1]