Given a 0-indexed integer array nums, find the leftmost middleIndex (i.e., the smallest amongst all the possible ones).
A middleIndex is an index where nums[0] + nums[1] + ... + nums[middleIndex-1] == nums[middleIndex+1] + nums[middleIndex+2]+ ... + nums[nums.length-1]
.
If middleIndex == 0
, the left side sum is considered to be 0. Similarly, if middleIndex == nums.length - 1
, the right
side sum is considered to be 0.
Return the leftmost middleIndex that satisfies the condition, or -1 if there is no such index.
Example 1:
Input: nums = [2,3,-1,8,4]
Output: 3
Explanation: The sum of the numbers before index 3 is: 2 + 3 + -1 = 4
The sum of the numbers after index 3 is: 4 = 4
Example 2:
Input: nums = [1,-1,4]
Output: 2
Explanation: The sum of the numbers before index 2 is: 1 + -1 = 0
The sum of the numbers after index 2 is: 0
Example 3:
Input: nums = [2,5]
Output: -1
Explanation: There is no valid middleIndex.
Solution
class Solution:
def findMiddleIndex(self, nums: List[int]) -> int:
sum_left = 0
sum_right = sum(nums)
for i, n in enumerate(nums):
sum_left += n
if sum_left == sum_right:
return i
sum_right -= n
return -1