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Maximum Absolute Sum of Any Subarray

You are given an integer array nums.

You are given an integer array nums. The absolute sum of a subarray [numsl, numsl+1, ..., numsr-1, numsr] is abs(numsl + numsl+1 + ... + numsr-1 + numsr).

Return the maximum absolute sum of any (possibly empty) subarray of nums.

Note that abs(x) is defined as follows:

Maximum Absolute Sum of Any Subarray diagram

Example 1

Input: nums = [1,-3,2,3,-4]

Output: 5

Explanation: The subarray [2,3] has absolute sum = abs(2+3) = abs(5) = 5.

Example 2

Input: nums = [2,-5,1,-4,3,-2]

Output: 8

Explanation: The subarray [-5,1,-4] has absolute sum = abs(-5+1-4) = abs(-8) = 8.

Constraints

  • 1 <= nums.length <= 10^5
  • -10^4 <= nums[i] <= 10^4

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