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.
Return the sum of all odd-length subarrays of arr.
Example 1:
Input: arr = [1,4,2,5,3]
Output: 58
Explanation: The odd-length subarrays of arr and their sums are:
[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
If we add all these together we get 1 + 4 + 2 + 5 + 3 + 7 + 11 + 10 + 15 = 58
Example 2:
Input: arr = [1,2]
Output: 3
Explanation: There are only 2 subarrays of odd length, [1] and [2]. Their sum is 3.
Example 3:
Input: arr = [10,11,12]
Output: 66
Constraints:
- 1 <= arr.length <= 100
- 1 <= arr[i] <= 1000
Solution in python:
class Solution:
def sumOddLengthSubarrays(self, arr: List[int]) -> int:
total = 0
for j in range(1, len(arr)+1, 2):
for i in range(len(arr)):
if i+j <= len(arr):
temp = sum(arr[i:i+j])
# print(temp)
total += temp
return total
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