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.
\n\n\n
Example 1:
\n\nInput: nums = [1,3,1,5]
\n\nOutput: 7
\n\nExplanation:
\n\nFirst, jump to index 1 and then jump to the last index. The final score is 1 * 1 + 2 * 3 = 7.
Example 2:
\n\nInput: nums = [4,3,1,3,2]
\n\nOutput: 16
\n\nExplanation:
\n\nJump directly to the last index. The final score is 4 * 4 = 16.
\n
Constraints:
\n\n1 <= nums.length <= 1051 <= nums[i] <= 105i, the optimal solution is to jump to the nearest index j > i such that nums[j] > nums[i]."
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