carloscn / carloscn/structstudy

leetcode1588:所有奇数长度子数组的和(sum-of-all-odd-length-subarrays)

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Lang-rust Level-middle 一般问题 数组 查找
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Description

### 问题描述

给你一个正整数数组 arr ,请你计算所有可能的奇数长度子数组的和。

子数组 定义为原数组中的一个连续子序列。

请你返回 arr 中 所有奇数长度子数组的和 。

 
示例 1:

输入:arr = [1,4,2,5,3]
输出:58
解释:所有奇数长度子数组和它们的和为:
[1] = 1
[4] = 4
[2] = 2
[5] = 5
[3] = 3
[1,4,2] = 7
[4,2,5] = 11
[2,5,3] = 10
[1,4,2,5,3] = 15
我们将所有值求和得到 1 + 4 + 2 + 5 + 3 + 7 + 11 + 10 + 15 = 58

示例 2:

输入:arr = [1,2]
输出:3
解释:总共只有 2 个长度为奇数的子数组,[1] 和 [2]。它们的和为 3 。

示例 3:

输入:arr = [10,11,12]
输出:66
 

提示:

1 <= arr.length <= 100
1 <= arr[i] <= 1000
 

进阶:

你可以设计一个 O(n) 时间复杂度的算法解决此问题吗?

来源:力扣(LeetCode)
链接:https://leetcode.cn/problems/sum-of-all-odd-length-subarrays

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