Mercurial > lbo > hg > ccplay
view dynprog.cc @ 5:a1ac40ee3a1e
Memoization for DP
author | Lewin Bormann <lbo@spheniscida.de> |
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date | Sun, 12 Mar 2023 16:11:39 +0100 |
parents | bb5c00d28022 |
children | 90bf264f80a5 |
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#include "lib/exec.h" #include <iostream> #include <functional> #include <ranges> #include <string> #include <sstream> #include <tuple> #include <unordered_map> #include <vector> #include <fmt/core.h> #include <fmt/ranges.h> using namespace std; using MemoKey = tuple<size_t, size_t, size_t>; class TupleHash : function<size_t(const MemoKey&)> { public: size_t operator()(const MemoKey& k) const { return get<0>(k) ^ get<1>(k) ^ get<2>(k); } }; template <typename T> size_t lcss_inner(const vector<T> &a, const vector<T> &b, size_t i, size_t j, size_t length, size_t &longest, vector<T> &longest_seq, unordered_map<tuple<size_t, size_t, size_t>, size_t, TupleHash> &cache) { if (i >= a.size() || j >= b.size()) { return length; } const auto key = make_tuple(i, j, length); if (cache.contains(key)) { return get<1>(*cache.find(key)); } if (a.at(i) == b.at(j)) { // Current (i, j) is member of a common subsequence. longest = max(longest, length + 1); size_t remaining_longest = lcss_inner(a, b, i + 1, j + 1, length + 1, longest, longest_seq, cache); if (remaining_longest == longest) { // This element is part of the longest common subsequence. longest_seq.at(length) = a.at(i); } cache.insert(make_pair(key, remaining_longest)); return remaining_longest; } else { // Skip element from a. size_t remaining_longest_skip_a = lcss_inner(a, b, i + 1, j, length, longest, longest_seq, cache); // Skip element from b. size_t remaining_longest_skip_b = lcss_inner(a, b, i, j + 1, length, longest, longest_seq, cache); size_t result = max(remaining_longest_skip_a, remaining_longest_skip_b); cache.insert(make_pair(key, result)); return result; } } template<typename T> vector<T> lcss(const vector<T>& a, const vector<T>& b) { size_t longest = 0; vector<T> longest_seq(min(a.size(), b.size())); unordered_map<tuple<size_t, size_t, size_t>, size_t, TupleHash> cache(100); size_t longest_r = lcss_inner(a, b, 0, 0, 0, longest, longest_seq, cache); fmt::print("Length: {} / {}\n", longest, longest_r); return longest_seq; } // g++ only template<typename T, template<typename> typename C> void evaluate_lcss(const C<T>& a, const C<T>& b) requires ranges::range<C<T>> { vector<T> va(a.begin(), a.end()); vector<T> vb(b.begin(), b.end()); auto result = timeit_f(function([&va, &vb]() { return lcss(va, vb); })); fmt::print("{}\n", va); fmt::print("{}\n", vb); fmt::print("{}\n", result); } int main(void) { vector<int> a{1,6,2,-1,3,55,2,4,23,5,6,7,8,9,10}; vector<int> b{-3, 1, 5, 7, 2, 4, -1, 3, 6, 7, 9, 11, 10}; evaluate_lcss(a, b); evaluate_lcss(views::single(11), views::single(11)); return 0; }