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Problem solution · C++

Count K-Subsequences of a String With Maximum Beauty Solved

Count K-Subsequences of a String With Maximum Beauty Solved: a C++ solution using sorting and greedy selection. Learn the idea, check the complexity, and read the full code, with credit to walkccc LeetCode Solutions.

Technique
Sorting and greedy selection
Source
walkccc LeetCode Solutions
Length
59 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

Sorting and greedy selection

For Count K-Subsequences of a String With Maximum Beauty Solved, the implementation first exposes a useful order, then scans that order while making locally justified choices.

  1. Choose the key that reveals the greedy or grouping structure.
  2. Sort the relevant records by that key.
  3. Scan in order, maintaining the invariant that makes each local choice safe.

Code notes

  • 59 lines of C++ from the credited upstream file 2842.cpp.
  • The implementation visibly relies on sequence storage, hash lookup.
  • 5 loop blocks detected.

Complexity

Sorting is typically the dominant term unless the subsequent scan uses a more expensive nested operation.

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

Source

Code and credit

This code comes from walkccc LeetCode Solutions by P.-Y. Chen (walkccc) and is used under the MIT licence.

Open problem ↗Original source ↗
Full codeCount K-Subsequences of a String With Maximum Beauty Solved · C++C++
Use this to learn the idea, then write your own version.
class Solution { public:  int countKSubsequencesWithMaxBeauty(string s, int k) {    unordered_map<char, int> count;    for (const char c : s)      ++count[c];    if (count.size() < k)      return 0;     long ans = 1;     for (const auto& [fc, numOfChars] : getFreqCountPairs(count)) {      if (numOfChars >= k) {        ans *= nCk(numOfChars, k);        ans %= kMod;        return ans * modPow(fc, k) % kMod;      }      ans *= modPow(fc, numOfChars);      ans %= kMod;      k -= numOfChars;    }     return ans;  }  private:  static constexpr int kMod = 1'000'000'007;   vector<pair<int, int>> getFreqCountPairs(      const unordered_map<char, int>& count) {    unordered_map<int, int> freqCount;    for (const auto& [_, value] : count)      ++freqCount[value];    vector<pair<int, int>> freqCountPairs;    for (const auto& [fc, numOfChars] : freqCount)      freqCountPairs.emplace_back(fc, numOfChars);    ranges::sort(freqCountPairs, ranges::greater{},                 [](const pair<int, int>& freqCountPair) {      return freqCountPair.first;    });    return freqCountPairs;  }   long nCk(int n, int k) {    long res = 1;    for (int i = 1; i <= k; ++i)      res = res * (n - i + 1) / i;    return res;  }   long modPow(long x, long n) {    if (n == 0)      return 1;    if (n % 2 == 1)      return x * modPow(x % kMod, (n - 1)) % kMod;    return modPow(x * x % kMod, (n / 2)) % kMod;  }};

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