Maximum Element-Sum of a Complete Subset of Indices — LeetCode 2862 Python Solution
HardArrayMathNumber Theory
- Problem
- #2862
- Pattern
- Math and Number Theory
- Reading time
- 2 min
- Source
- leetcode.com
The problem
You are given a 1-indexed array nums. Your task is to select a complete subset from nums where every pair of selected indices multiplied is a perfect square,.
Python solution
Python
class Solution:
def maximumSum(self, nums: List[int]) -> int:
n = len(nums)
ans = 0
for k in range(1, n + 1):
t = 0
j = 1
while k * j * j <= n:
t += nums[k * j * j - 1]
j += 1
ans = max(ans, t)
return ansComplexity
| Measure | Complexity |
|---|---|
| Time | O(n), where n is the length of the array |
| Space | O(1) auxiliary |
Pattern: Math and Number Theory
Find the closed form, the invariant, or the modular identity — and skip the loop entirely. LeetCode 2862. Maximum Element-Sum of a Complete Subset of Indices is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Math and Number Theory.
The math and number theory guide has the Python template for the pattern and the 485 LeetCode problems that use it.
Related problems
Frequently asked questions
- How hard is LeetCode 2862. Maximum Element-Sum of a Complete Subset of Indices?
- LeetCode 2862. Maximum Element-Sum of a Complete Subset of Indices is rated Hard on LeetCode.
- What is the time complexity of LeetCode 2862. Maximum Element-Sum of a Complete Subset of Indices?
- 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 2862. Maximum Element-Sum of a Complete Subset of Indices?
- The Python solution on this page uses O(1) auxiliary space.
- What topics does LeetCode 2862. Maximum Element-Sum of a Complete Subset of Indices cover?
- LeetCode 2862. Maximum Element-Sum of a Complete Subset of Indices is tagged Array, Math and Number Theory on LeetCode.