You are given an array maximumHeight, where maximumHeight[i] denotes the maximum height the ith tower can be assigned.
Your task is to assign a height to each tower so that:
\n\nith tower is a positive integer and does not exceed maximumHeight[i].Return the maximum possible total sum of the tower heights. If it's not possible to assign heights, return -1.
\n
Example 1:
\n\nInput: maximumHeight = [2,3,4,3]
\n\nOutput: 10
\n\nExplanation:
\n\nWe can assign heights in the following way: [1, 2, 4, 3].
Example 2:
\n\nInput: maximumHeight = [15,10]
\n\nOutput: 25
\n\nExplanation:
\n\nWe can assign heights in the following way: [15, 10].
Example 3:
\n\nInput: maximumHeight = [2,2,1]
\n\nOutput: -1
\n\nExplanation:
\n\nIt's impossible to assign positive heights to each index so that no two towers have the same height.
\n\n
Constraints:
\n\n1 <= maximumHeight.length <= 1051 <= maximumHeight[i] <= 109maximumHeight in descending order.",
"After sorting, it can be seen that the maximum height that we can assign to the ith element is min(maximumHeight[i], maximumHeight[i - 1] - 1)."
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