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Problem solution · C++

Sum of Weighted Modes in Subarrays

Sum of Weighted Modes in Subarrays: a C++ solution using sliding window or two pointers. Learn the idea, check the complexity, and read the full code, with credit to Kamyu LeetCode Solutions.

Technique
Sliding window or two pointers
Source
Kamyu LeetCode Solutions
Length
57 lines
Start with the idea.

Try the problem first. If you get stuck, read the approach below, then write your own solution. The full code is at the bottom.

Approach

Sliding window or two pointers

For Sum of Weighted Modes in Subarrays, the implementation maintains a moving interval and updates only the information that enters or leaves the window.

  1. Choose the invariant that makes a window valid or useful.
  2. Advance the right boundary and add the new element.
  3. Move the left boundary only as needed while maintaining the invariant and updating the answer.

Code notes

  • 57 lines of C++ from the credited upstream file sum-of-weighted-modes-in-subarrays.cpp.
  • The implementation visibly relies on sequence storage, hash lookup, ordered lookup, work queue.
  • 3 loop blocks detected.

Complexity

Confirm that neither pointer moves backwards; if so, the scan is usually linear apart from the window’s data-structure operations.

Check the problem constraints before deciding whether this complexity will pass.

Source

Code and credit

This code comes from Kamyu LeetCode Solutions by kamyu104 and is used under the MIT licence.

Open problem ↗Original source ↗
Full codeSum of Weighted Modes in Subarrays · C++C++
Use this to learn the idea, then write your own version.
// Time:  O(nlogk)// Space: O(k) // bst, two pointers, sliding windowclass Solution {public:    long long modeWeight(vector<int>& nums, int k) {        unordered_map<int, int> cnt;        set<pair<int, int>> bst;        const auto& add = [&](int x, int diff) {            if (cnt[x]) {                bst.erase(pair(-cnt[x], x));            }            cnt[x] += diff;            if (cnt[x]) {                bst.emplace(-cnt[x], x);            } else {                cnt.erase(x);            }        };         int64_t result = 0;        for (int i = 0; i < size(nums); ++i) {            add(nums[i], +1);            if (i >= k - 1) {                result += static_cast<int64_t>(-cbegin(bst)->first) * cbegin(bst)->second;                add(nums[i - k + 1], -1);            }        }        return result;    }}; // Time:  O(nlogn)// Space: O(n)// bst, two pointers, sliding windowclass Solution2 {public:    long long modeWeight(vector<int>& nums, int k) {        unordered_map<int, int> cnt;        priority_queue<pair<int, int>> max_heap;        int64_t result = 0;        for (int i = 0; i < size(nums); ++i) {            ++cnt[nums[i]];            max_heap.emplace(cnt[nums[i]], -nums[i]);            if (i >= k - 1) {                while (max_heap.top().first != cnt[-max_heap.top().second]) {                    max_heap.pop();                }                result += static_cast<int64_t>(max_heap.top().first) * -max_heap.top().second;                --cnt[nums[i - k + 1]];            }        }        return result;    }};

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