3282. Reach End of Array With Max Score
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You are given an integer array nums of length n.
Your goal is to start at index 0 and reach index n - 1. You can only jump to indices greater than your current index.
The score for a jump from index i to index j is calculated as (j - i) * nums[i].
Return the maximum possible total score by the time you reach the last index.
Example 1:
Input: nums = [1,3,1,5]
Output: 7
Explanation:
First, jump to index 1 and then jump to the last index. The final score is 1 * 1 + 2 * 3 = 7.
Example 2:
Input: nums = [4,3,1,3,2]
Output: 16
Explanation:
Jump directly to the last index. The final score is 4 * 4 = 16.
Constraints:
1 <= nums.length <= 1051 <= nums[i] <= 105
Hints
Hint 1
It can be proven that from each index
i, the optimal solution is to jump to the nearest index j > i such that nums[j] > nums[i].