#3712
Sum of Elements With Frequency Divisible by K
EasyArrayHash TableCountingHash MapArray
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(n) |
| Space | O(1) | O(n) |
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Intuition
Time O(n)Space O(n)
Use a hash map to count frequencies in one pass, then sum elements based on their frequencies in a second pass.
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Algorithm
3 steps- 1Step 1: Create a frequency map of elements in nums.
- 2Step 2: Iterate through the frequency map and check if each frequency is divisible by k.
- 3Step 3: If divisible, add the element multiplied by its frequency to the total sum.
solution.py4 lines
1def sumDivisibleByK(nums, k):
2 from collections import Counter
3 freq_map = Counter(nums)
4 return sum(num * freq for num, freq in freq_map.items() if freq % k == 0)ℹ
Complexity note: Counting frequencies in one pass and summing in another leads to O(n) time complexity.
- 1Using a hash map allows efficient frequency counting.
- 2Divisibility checks can be done in a single pass after counting.
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