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2358 Number Of Ways To Split Array

2358 Number Of Ways To Split Array

Number of Ways to Split Array image

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:

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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:

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**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:

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**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:

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2 <= nums.length <= 105
-105 <= nums[i] <= 105
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class Solution:
    def waysToSplitArray(self, nums: List[int]) -> int:
        s = sum(nums)
        res = 0
        temp = 0
        for k in nums[:-1]:
            temp += k
            if temp >= (s - temp):
                res += 1
        return res
        



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