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Problem solution · C++

Longest Duplicate Substring

Longest Duplicate Substring: a C++ solution using hash-based lookup. Learn the idea, check the complexity, and read the full code, with credit to walkccc LeetCode Solutions.

Technique
Hash-based lookup
Source
walkccc LeetCode Solutions
Length
68 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

Hash-based lookup

For Longest Duplicate Substring, the implementation stores previously seen values or frequencies in a hash table for direct membership and lookup operations.

  1. Decide the key that represents the information needed later.
  2. Update its count or stored state while scanning the input.
  3. Use constant-time expected lookups to detect matches or assemble the result.

Code notes

  • 68 lines of C++ from the credited upstream file 1044.cpp.
  • The implementation visibly relies on sequence storage, hash lookup.
  • 5 loop blocks detected.

Complexity

Expected hash operations are constant time, but the surrounding scan and the number of stored keys determine total work and memory.

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 codeLongest Duplicate Substring · C++C++
Use this to learn the idea, then write your own version.
class Solution { public:  string longestDupSubstring(string s) {    const int n = s.length();    vector<int> pows(n, 1);    int bestStart = -1;    int l = 1;    int r = n;     for (int i = 1; i < n; ++i)      pows[i] = pows[i - 1] * kBase % kHash;     while (l < r) {      const int m = (l + r) / 2;      const int start = getStart(s, m, pows);      if (start == -1) {        r = m;      } else {        bestStart = start;        l = m + 1;      }    }     if (bestStart == -1)      return "";    if (getStart(s, l, pows) == -1)      return s.substr(bestStart, l - 1);    return s.substr(bestStart, l);  }  private:  static constexpr long kBase = 26;  static constexpr int kHash = 1'000'000'007;   static constexpr int val(char c) {    return c - 'a';  }   // k := the length of the substring to be hashed  int getStart(const string& s, int k, const vector<int>& pows) {    unordered_map<int, vector<int>> hashToStarts;    long h = 0;     // Compute the hash value of s[:k].    for (int i = 0; i < k; ++i)      h = (h * kBase % kHash + val(s[i])) % kHash;    hashToStarts[h].push_back(0);     // Compute the rolling hash by Rabin Karp.    for (int i = k; i < s.length(); ++i) {      const int startIndex = i - k + 1;      h = ((h - static_cast<long>(pows[k - 1]) * val(s[i - k])) % kHash +           kHash) %          kHash;      h = (h * kBase + val(s[i])) % kHash;      if (const auto it = hashToStarts.find(h); it != hashToStarts.cend()) {        const string currSub = s.substr(startIndex, k);        for (const int start : it->second)          if (s.substr(start, k) == currSub)            return startIndex;      }      hashToStarts[h].push_back(startIndex);    }     return -1;  }};

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