You have observations of n + m 6-sided dice rolls with each face numbered from 1 to 6. n of the observations went missing, and you only have the observations of m rolls. Fortunately, you have also calculated the average value of the n + m rolls.
You are given an integer array rolls of length m where rolls[i] is the value of the ith observation. You are also given the two integers mean and n.
Return an array of length n containing the missing observations such that the average value of the n + m rolls is exactly mean. If there are multiple valid answers, return any of them. If no such array exists, return an empty array.
The average value of a set of k numbers is the sum of the numbers divided by k.
Note that mean is an integer, so the sum of the n + m rolls should be divisible by n + m.
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Example 1:
\n\n\nInput: rolls = [3,2,4,3], mean = 4, n = 2\nOutput: [6,6]\nExplanation: The mean of all n + m rolls is (3 + 2 + 4 + 3 + 6 + 6) / 6 = 4.\n\n\n
Example 2:
\n\n\nInput: rolls = [1,5,6], mean = 3, n = 4\nOutput: [2,3,2,2]\nExplanation: The mean of all n + m rolls is (1 + 5 + 6 + 2 + 3 + 2 + 2) / 7 = 3.\n\n\n
Example 3:
\n\n\nInput: rolls = [1,2,3,4], mean = 6, n = 4\nOutput: []\nExplanation: It is impossible for the mean to be 6 no matter what the 4 missing rolls are.\n\n\n
\n
Constraints:
\n\nm == rolls.length1 <= n, m <= 1051 <= rolls[i], mean <= 6现有一份 n + m 次投掷单个 六面 骰子的观测数据，骰子的每个面从 1 到 6 编号。观测数据中缺失了 n 份，你手上只拿到剩余 m 次投掷的数据。幸好你有之前计算过的这 n + m 次投掷数据的 平均值 。
给你一个长度为 m 的整数数组 rolls ，其中 rolls[i] 是第 i 次观测的值。同时给你两个整数 mean 和 n 。
返回一个长度为 n 的数组，包含所有缺失的观测数据，且满足这 n + m 次投掷的 平均值 是 mean 。如果存在多组符合要求的答案，只需要返回其中任意一组即可。如果不存在答案，返回一个空数组。
k 个数字的 平均值 为这些数字求和后再除以 k 。
注意 mean 是一个整数，所以 n + m 次投掷的总和需要被 n + m 整除。
\n\n
示例 1：
\n\n\n输入：rolls = [3,2,4,3], mean = 4, n = 2\n输出：[6,6]\n解释：所有 n + m 次投掷的平均值是 (3 + 2 + 4 + 3 + 6 + 6) / 6 = 4 。\n\n\n
示例 2：
\n\n\n输入：rolls = [1,5,6], mean = 3, n = 4\n输出：[2,3,2,2]\n解释：所有 n + m 次投掷的平均值是 (1 + 5 + 6 + 2 + 3 + 2 + 2) / 7 = 3 。\n\n\n
示例 3：
\n\n\n输入：rolls = [1,2,3,4], mean = 6, n = 4\n输出：[]\n解释：无论丢失的 4 次数据是什么，平均值都不可能是 6 。\n\n\n
示例 4：
\n\n\n输入：rolls = [1], mean = 3, n = 1\n输出：[5]\n解释：所有 n + m 次投掷的平均值是 (1 + 5) / 2 = 3 。\n\n\n
\n\n
提示：
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