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author | Daniil Cherednik <[email protected]> | 2023-08-25 09:14:00 +0000 |
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committer | Daniil Cherednik <[email protected]> | 2023-08-25 09:14:00 +0000 |
commit | 1aea989538126dcf9bb99aa87313ba942e679e7b (patch) | |
tree | 5f89fae597bbf8cfaf58c56fd2313d1896a956bb /library/cpp/disjoint_sets/disjoint_sets.h | |
parent | 41effae1b14cbd91927d4d7746c935f773ee87ef (diff) |
Create stable-23-3 branch
x-stable-origin-commit: 3224c68a1e19d5457dc64c1c4f3260f7cd718558
Diffstat (limited to 'library/cpp/disjoint_sets/disjoint_sets.h')
-rw-r--r-- | library/cpp/disjoint_sets/disjoint_sets.h | 81 |
1 files changed, 81 insertions, 0 deletions
diff --git a/library/cpp/disjoint_sets/disjoint_sets.h b/library/cpp/disjoint_sets/disjoint_sets.h new file mode 100644 index 00000000000..57688867046 --- /dev/null +++ b/library/cpp/disjoint_sets/disjoint_sets.h @@ -0,0 +1,81 @@ +#pragma once + +#include <util/system/yassert.h> +#include <util/generic/vector.h> + +// Implementation of disjoint-set data structure with union by rank and path compression. +// See http://en.wikipedia.org/wiki/Disjoint-set_data_structure +class TDisjointSets { +public: + using TElement = size_t; + +private: + mutable TVector<TElement> Parents; + TVector<size_t> Ranks; + TVector<size_t> Sizes; + size_t NumberOfSets; + +public: + TDisjointSets(size_t setCount) + : Parents(setCount) + , Ranks(setCount, 0) + , Sizes(setCount, 1) + , NumberOfSets(setCount) + { + for (size_t i = 0; i < setCount; ++i) + Parents[i] = i; + } + + TElement CanonicSetElement(TElement item) const { + if (Parents[item] != item) + Parents[item] = CanonicSetElement(Parents[item]); + return Parents[item]; + } + + size_t SizeOfSet(TElement item) const { + return Sizes[CanonicSetElement(item)]; + } + + size_t InitialSetCount() const { + return Parents.size(); + } + + size_t SetCount() const { + return NumberOfSets; + } + + void UnionSets(TElement item1, TElement item2) { + TElement canonic1 = CanonicSetElement(item1); + TElement canonic2 = CanonicSetElement(item2); + if (canonic1 == canonic2) + return; + + --NumberOfSets; + if (Ranks[canonic1] < Ranks[canonic2]) { + Parents[canonic1] = canonic2; + Sizes[canonic2] += Sizes[canonic1]; + } else { + Parents[canonic2] = canonic1; + Sizes[canonic1] += Sizes[canonic2]; + Ranks[canonic2] += Ranks[canonic1] == Ranks[canonic2] ? 1 : 0; + } + } + + void Expand(size_t setCount) { + if (setCount < Parents.size()) { + return; + } + + size_t prevSize = Parents.size(); + Parents.resize(setCount); + Ranks.resize(setCount); + Sizes.resize(setCount); + NumberOfSets += setCount - prevSize; + + for (size_t i = prevSize; i < setCount; ++i) { + Parents[i] = i; + Ranks[i] = 0; + Sizes[i] = 1; + } + } +}; |