{ "data": { "question": { "questionId": "1693", "questionFrontendId": "1588", "boundTopicId": null, "title": "Sum of All Odd Length Subarrays", "titleSlug": "sum-of-all-odd-length-subarrays", "content": "
Given an array of positive integers arr
, calculate the sum of all possible odd-length subarrays.
A subarray is a contiguous subsequence of the array.
\n\nReturn the sum of all odd-length subarrays of arr
.
\n
Example 1:
\n\n\nInput: arr = [1,4,2,5,3]\nOutput: 58\nExplanation: The odd-length subarrays of arr and their sums are:\n[1] = 1\n[4] = 4\n[2] = 2\n[5] = 5\n[3] = 3\n[1,4,2] = 7\n[4,2,5] = 11\n[2,5,3] = 10\n[1,4,2,5,3] = 15\nIf we add all these together we get 1 + 4 + 2 + 5 + 3 + 7 + 11 + 10 + 15 = 58\n\n
Example 2:
\n\n\nInput: arr = [1,2]\nOutput: 3\nExplanation: There are only 2 subarrays of odd length, [1] and [2]. Their sum is 3.\n\n
Example 3:
\n\n\nInput: arr = [10,11,12]\nOutput: 66\n\n\n
\n
Constraints:
\n\n1 <= arr.length <= 100
1 <= arr[i] <= 1000
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