MediumNo. 1131
Maximum of Absolute Value Expression — LeetCode 1131 Python Solution
- Pattern
- Math and Number Theory
- Topics
- Array, Math
- Reading time
- 2 min
- Source
- leetcode.com
The problem
Given two arrays of integers with equal lengths, return the maximum value of: |arr1[i] - arr1[j]| + |arr2[i] - arr2[j]| + |i - j| where the maximum is taken over all 0 <= i, j < arr1.length.
Example
- Input
- arr1 = [1,2,3,4], arr2 = [-1,4,5,6]
- Output
- 13
Python solution
class Solution:
def maxAbsValExpr(self, arr1: List[int], arr2: List[int]) -> int:
dirs = (1, -1, -1, 1, 1)
ans = -inf
for a, b in pairwise(dirs):
mx, mi = -inf, inf
for i, (x, y) in enumerate(zip(arr1, arr2)):
mx = max(mx, a * x + b * y + i)
mi = min(mi, a * x + b * y + i)
ans = max(ans, mx - mi)
return ansComplexity
- Time
- O(n)where n is the length of the array
- Space · auxiliary
- O(1)
Pattern: Math and Number Theory
Find the closed form, the invariant, or the modular identity — and skip the loop entirely. LeetCode 1131. Maximum of Absolute Value Expression is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Math.
The math and number theory guide has the Python template for the pattern and the 485 LeetCode problems that use it.
Related problems
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|---|---|---|
| 0048 | Rotate Image | Medium |
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| 0335 | Self Crossing | Hard |
| 0384 | Shuffle an Array | Medium |
Frequently asked questions
- How hard is LeetCode 1131. Maximum of Absolute Value Expression?
LeetCode 1131. Maximum of Absolute Value Expression is rated Medium on LeetCode.
- What is the time complexity of LeetCode 1131. Maximum of Absolute Value Expression?
The Python solution on this page runs in O(n), where n is the length of the array.
- What is the space complexity of LeetCode 1131. Maximum of Absolute Value Expression?
The Python solution on this page uses O(1) auxiliary space.
- What topics does LeetCode 1131. Maximum of Absolute Value Expression cover?
LeetCode 1131. Maximum of Absolute Value Expression is tagged Array and Math on LeetCode.