#3092

Most Frequent IDs

Medium
ArrayHash TableHeap (Priority Queue)Ordered SetHash MapArray
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Approaches

Brute ForceOptimal
Complexity Comparison
Brute ForceOptimal Solution
Time
O(n²)
O(n log n)
Space
O(n)
O(n)
💡

Intuition

Time O(n log n)Space O(n)

This approach uses a hash map to efficiently track the frequencies of IDs and a max-heap to quickly retrieve the most frequent ID. This reduces the need to repeatedly scan the entire collection.

⚙️

Algorithm

5 steps
  1. 1Step 1: Initialize a frequency map to track occurrences of each ID.
  2. 2Step 2: Use a max-heap to keep track of the most frequent IDs.
  3. 3Step 3: For each step i, update the frequency map based on freq[i].
  4. 4Step 4: Update the max-heap and retrieve the maximum frequency efficiently.
  5. 5Step 5: Append the maximum frequency to ans.
solution.py15 lines
1import heapq
2from collections import defaultdict
3
4def most_frequent_ids(nums, freq):
5    ans = []
6    collection = defaultdict(int)
7    max_heap = []
8    for i in range(len(nums)):
9        collection[nums[i]] += freq[i]
10        if freq[i] > 0:
11            heapq.heappush(max_heap, (-collection[nums[i]], nums[i]))
12        while max_heap and -max_heap[0][0] != collection[max_heap[0][1]]:
13            heapq.heappop(max_heap)
14        ans.append(-max_heap[0][0] if max_heap else 0)
15    return ans

Complexity note: The time complexity is O(n log n) due to the use of a max-heap to maintain the most frequent IDs, where n is the number of steps. Each insertion and removal operation in the heap takes log n time.

  • 1Using a hash map allows for efficient frequency counting.
  • 2A max-heap helps in quickly retrieving the most frequent ID.

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