The imbalance number of a 0-indexed integer array arr of length n is defined as the number of indices in sarr = sorted(arr) such that:
0 <= i < n - 1, andsarr[i+1] - sarr[i] > 1Here, sorted(arr) is the function that returns the sorted version of arr.
Given a 0-indexed integer array nums, return the sum of imbalance numbers of all its subarrays.
A subarray is a contiguous non-empty sequence of elements within an array.
\n\n\n
Example 1:
\n\n\nInput: nums = [2,3,1,4]\nOutput: 3\nExplanation: There are 3 subarrays with non-zero imbalance numbers:\n- Subarray [3, 1] with an imbalance number of 1.\n- Subarray [3, 1, 4] with an imbalance number of 1.\n- Subarray [1, 4] with an imbalance number of 1.\nThe imbalance number of all other subarrays is 0. Hence, the sum of imbalance numbers of all the subarrays of nums is 3. \n\n\n
Example 2:
\n\n\nInput: nums = [1,3,3,3,5]\nOutput: 8\nExplanation: There are 7 subarrays with non-zero imbalance numbers:\n- Subarray [1, 3] with an imbalance number of 1.\n- Subarray [1, 3, 3] with an imbalance number of 1.\n- Subarray [1, 3, 3, 3] with an imbalance number of 1.\n- Subarray [1, 3, 3, 3, 5] with an imbalance number of 2. \n- Subarray [3, 3, 3, 5] with an imbalance number of 1. \n- Subarray [3, 3, 5] with an imbalance number of 1.\n- Subarray [3, 5] with an imbalance number of 1.\nThe imbalance number of all other subarrays is 0. Hence, the sum of imbalance numbers of all the subarrays of nums is 8.\n\n
\n
Constraints:
\n\n1 <= nums.length <= 10001 <= nums[i] <= nums.length一个长度为 n 下标从 0 开始的整数数组 arr 的 不平衡数字 定义为，在 sarr = sorted(arr) 数组中，满足以下条件的下标数目：
0 <= i < n - 1 ，和sarr[i+1] - sarr[i] > 1这里，sorted(arr) 表示将数组 arr 排序后得到的数组。
给你一个下标从 0 开始的整数数组 nums ，请你返回它所有 子数组 的 不平衡数字 之和。
子数组指的是一个数组中连续一段 非空 的元素序列。
\n\n\n\n
示例 1：
\n\n输入：nums = [2,3,1,4]\n输出：3\n解释：总共有 3 个子数组有非 0 不平衡数字：\n- 子数组 [3, 1] ，不平衡数字为 1 。\n- 子数组 [3, 1, 4] ，不平衡数字为 1 。\n- 子数组 [1, 4] ，不平衡数字为 1 。\n其他所有子数组的不平衡数字都是 0 ，所以所有子数组的不平衡数字之和为 3 。\n\n\n
示例 2：
\n\n输入：nums = [1,3,3,3,5]\n输出：8\n解释：总共有 7 个子数组有非 0 不平衡数字：\n- 子数组 [1, 3] ，不平衡数字为 1 。\n- 子数组 [1, 3, 3] ，不平衡数字为 1 。\n- 子数组 [1, 3, 3, 3] ，不平衡数字为 1 。\n- 子数组 [1, 3, 3, 3, 5] ，不平衡数字为 2 。\n- 子数组 [3, 3, 3, 5] ，不平衡数字为 1 。\n- 子数组 [3, 3, 5] ，不平衡数字为 1 。\n- 子数组 [3, 5] ，不平衡数字为 1 。\n其他所有子数组的不平衡数字都是 0 ，所以所有子数组的不平衡数字之和为 8 。\n\n
\n\n
提示：
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