# 1991. Find the Middle Index in Array

## Description

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.


Constraints:

• 1 <= nums.length <= 100
• -1000 <= nums[i] <= 1000

Note: This question is the same as 724: https://leetcode.com/problems/find-pivot-index/

## Solutions

• class Solution {
public int findMiddleIndex(int[] nums) {
int left = 0, right = Arrays.stream(nums).sum();
for (int i = 0; i < nums.length; ++i) {
right -= nums[i];
if (left == right) {
return i;
}
left += nums[i];
}
return -1;
}
}

• class Solution {
public:
int findMiddleIndex(vector<int>& nums) {
int left = 0, right = accumulate(nums.begin(), nums.end(), 0);
for (int i = 0; i < nums.size(); ++i) {
right -= nums[i];
if (left == right) {
return i;
}
left += nums[i];
}
return -1;
}
};

• class Solution:
def findMiddleIndex(self, nums: List[int]) -> int:
left, right = 0, sum(nums)
for i, x in enumerate(nums):
right -= x
if left == right:
return i
left += x
return -1


• func findMiddleIndex(nums []int) int {
s := 0
for _, num := range nums {
s += num
}
total := 0
for i, num := range nums {
total += num
if total-num == s-total {
return i
}
}
return -1
}

• function findMiddleIndex(nums: number[]): number {
let left = 0,
right = nums.reduce((a, b) => a + b);
for (let i = 0; i < nums.length; ++i) {
right -= nums[i];
if (left == right) {
return i;
}
left += nums[i];
}
return -1;
}


• /**
* @param {number[]} nums
* @return {number}
*/
var findMiddleIndex = function (nums) {
let left = 0,
right = nums.reduce((a, b) => a + b);
for (let i = 0; i < nums.length; ++i) {
right -= nums[i];
if (left == right) {
return i;
}
left += nums[i];
}
return -1;
};