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2270. Number of Ways to Split Array

You are given a 0-indexed integer array nums of length n.

nums contains a valid split at index i if the following are true:

  • The sum of the first i + 1 elements is greater than or equal to the sum of the last n - i - 1 elements.
  • There is at least one element to the right of i. That is, 0 <= i < n - 1.

Return the number of valid splits in nums.

Example 1:

Input: nums = [10,4,-8,7]
Output: 2
Explanation: There are three ways of splitting nums into two non-empty parts:
- Split nums at index 0. Then, the first part is [10], and its sum is 10. The second part is [4,-8,7], and its sum is 3. Since 10 >= 3, i = 0 is a valid split.
- Split nums at index 1. Then, the first part is [10,4], and its sum is 14. The second part is [-8,7], and its sum is -1. Since 14 >= -1, i = 1 is a valid split.
- Split nums at index 2. Then, the first part is [10,4,-8], and its sum is 6. The second part is [7], and its sum is 7. Since 6 < 7, i = 2 is not a valid split.
Thus, the number of valid splits in nums is 2.

Example 2:

Input: nums = [2,3,1,0]
Output: 2
Explanation: There are two valid splits in nums:
- Split nums at index 1. Then, the first part is [2,3], and its sum is 5. The second part is [1,0], and its sum is 1. Since 5 >= 1, i = 1 is a valid split.
- Split nums at index 2. Then, the first part is [2,3,1], and its sum is 6. The second part is [0], and its sum is 0. Since 6 >= 0, i = 2 is a valid split.

Constraints:

  • 2 <= nums.length <= 105
  • -105 <= nums[i] <= 105

Solutions (Rust)

1. Solution

impl Solution {
    pub fn ways_to_split_array(nums: Vec<i32>) -> i32 {
        let mut sum_l = 0;
        let mut sum_r = nums.iter().map(|&x| x as i64).sum();
        let mut ret = 0;

        for i in 0..nums.len() - 1 {
            sum_l += nums[i] as i64;
            sum_r -= nums[i] as i64;

            if sum_l >= sum_r {
                ret += 1;
            }
        }

        ret
    }
}