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LeetCode 1749, Medium. Topics: Array, Dynamic Programming. View on LeetCode. Generate this problem as a practice environment: tested reference solution, 23 parametrized pytest cases, and a playground notebook:

Problem

You are given an integer array nums. The absolute sum of a subarray [nums_l, nums_l+1, ..., nums_r-1, nums_r] is abs(nums_l + nums_l+1 + ... + nums_r-1 + nums_r). Return the maximum absolute sum of any (possibly empty) subarray of nums. Note that abs(x) is defined as follows:
  • If x is a negative integer, then abs(x) = -x.
  • If x is a non-negative integer, then abs(x) = x.

Examples

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

Solution

Reference implementation from solution.py on GitHub, full suite in test_solution.py:

Complexity

Tags

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Last modified on September 7, 2026