You are given a circular array balance of length n, where balance[i] is the net balance of person i.
In one move, a person can transfer exactly 1 unit of balance to either their left or right neighbor.
\n\nReturn the minimum number of moves required so that every person has a non-negative balance. If it is impossible, return -1.
Note: You are guaranteed that at most 1 index has a negative balance initially.
\n\n\n
Example 1:
\n\nInput: balance = [5,1,-4]
\n\nOutput: 4
\n\nExplanation:
\n\nOne optimal sequence of moves is:
\n\ni = 1 to i = 2, resulting in balance = [5, 0, -3]i = 0 to i = 2, resulting in balance = [4, 0, -2]i = 0 to i = 2, resulting in balance = [3, 0, -1]i = 0 to i = 2, resulting in balance = [2, 0, 0]Thus, the minimum number of moves required is 4.
\nExample 2:
\n\nInput: balance = [1,2,-5,2]
\n\nOutput: 6
\n\nExplanation:
\n\nOne optimal sequence of moves is:
\n\ni = 1 to i = 2, resulting in balance = [1, 1, -4, 2]i = 1 to i = 2, resulting in balance = [1, 0, -3, 2]i = 3 to i = 2, resulting in balance = [1, 0, -2, 1]i = 3 to i = 2, resulting in balance = [1, 0, -1, 0]i = 0 to i = 1, resulting in balance = [0, 1, -1, 0]i = 1 to i = 2, resulting in balance = [0, 0, 0, 0]Thus, the minimum number of moves required is 6.
\nExample 3:
\n\nInput: balance = [-3,2]
\n\nOutput: -1
\n\nExplanation:
\n\nIt is impossible to make all balances non-negative for balance = [-3, 2], so the answer is -1.
\n
Constraints:
\n\n1 <= n == balance.length <= 105-109 <= balance[i] <= 109balance initially.给你一个长度为 n 的 环形 数组 balance，其中 balance[i] 是第 i 个人的净余额。
在一次移动中，一个人可以将 正好 1 个单位的余额转移给他的左邻居或右邻居。
\n\n返回使每个人都拥有 非负 余额所需的 最小 移动次数。如果无法实现，则返回 -1。
注意：输入保证初始时 至多 有一个下标具有 负 余额。
\n\n\n\n
示例 1：
\n\n输入：balance = [5,1,-4]
\n\n输出：4
\n\n解释：
\n\n一种最优的移动序列如下：
\n\ni = 1 移动 1 个单位到 i = 2，结果 balance = [5, 0, -3]i = 0 移动 1 个单位到 i = 2，结果 balance = [4, 0, -2]i = 0 移动 1 个单位到 i = 2，结果 balance = [3, 0, -1]i = 0 移动 1 个单位到 i = 2，结果 balance = [2, 0, 0]因此，所需的最小移动次数是 4。
\n示例 2：
\n\n输入：balance = [1,2,-5,2]
\n\n输出：6
\n\n解释：
\n\n一种最优的移动序列如下：
\n\ni = 1 移动 1 个单位到 i = 2，结果 balance = [1, 1, -4, 2]i = 1 移动 1 个单位到 i = 2，结果 balance = [1, 0, -3, 2]i = 3 移动 1 个单位到 i = 2，结果 balance = [1, 0, -2, 1]i = 3 移动 1 个单位到 i = 2，结果 balance = [1, 0, -1, 0]i = 0 移动 1 个单位到 i = 1，结果 balance = [0, 1, -1, 0]i = 1 移动 1 个单位到 i = 2，结果 balance = [0, 0, 0, 0]因此，所需的最小移动次数是 6。
\n示例 3：
\n\n输入：balance = [-3,2]
\n\n输出：-1
\n\n解释：
\n\n对于 balance = [-3, 2]，无法使所有余额都非负，所以答案是 -1。
\n\n
提示：
\n\n1 <= n == balance.length <= 105-109 <= balance[i] <= 109balance 中初始至多有一个负值。nums by their distance from the index with the negative value.",
"Greedily use as many values as needed from the sorted nums to offset the current negative value."
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