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] <= 109给你一个数组 maximumHeight ，其中 maximumHeight[i] 表示第 i 座塔可以达到的 最大 高度。
你的任务是给每一座塔分别设置一个高度，使得：
\n\ni 座塔的高度是一个正整数，且不超过 maximumHeight[i] 。请你返回设置完所有塔的高度后，可以达到的 最大 总高度。如果没有合法的设置，返回 -1 。
\n\n
示例 1：
\n\n输入：maximumHeight = [2,3,4,3]
\n\n输出：10
\n\n解释：
\n\n我们可以将塔的高度设置为：[1, 2, 4, 3] 。
示例 2：
\n\n输入：maximumHeight = [15,10]
\n\n输出：25
\n\n解释：
\n\n我们可以将塔的高度设置为：[15, 10] 。
示例 3：
\n\n输入：maximumHeight = [2,2,1]
\n\n输出：-1
\n\n解释：
\n\n无法设置塔的高度为正整数且高度互不相同。
\n\n\n
提示：
\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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