Created
May 9, 2017 17:04
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Implementation of a disjoint_set data structure
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#include <algorithm> | |
#include <iterator> | |
#include <unordered_set> | |
#include <vector> | |
class disjoint_set { | |
struct ranked { int root, rank, size; }; | |
public: | |
explicit disjoint_set(int n): cc(n + 1) { | |
for (int i = 0; i <= n; ++i) { | |
cc[i].root = i; | |
cc[i].rank = 0; | |
cc[i].size = 1; | |
} | |
} | |
std::size_t size(int x) const { | |
return cc[x].size; | |
} | |
std::unordered_set<int> roots() { | |
std::unordered_set<int> lst; | |
std::transform(std::next(cc.begin()), cc.end(), std::inserter(lst, lst.begin()), | |
[&](const ranked& r) { | |
return find(r.root); | |
}); | |
return lst; | |
} | |
void join(int x, int y) { | |
ranked &xr = cc[find(x)]; | |
ranked &yr = cc[find(y)]; | |
if (xr.root == yr.root) { | |
return; | |
} | |
if (xr.rank < yr.rank) { | |
xr.root = yr.root; | |
yr.size += xr.size; | |
} else if (xr.rank > yr.rank) { | |
yr.root = xr.root; | |
xr.size += yr.size; | |
} else { | |
xr.root = yr.root; | |
yr.rank++; | |
yr.size += xr.size; | |
} | |
} | |
private: | |
std::vector<ranked> cc; | |
int find(int p) { | |
if (cc[p].root == p) { | |
return p; | |
} | |
cc[p].root = find(cc[p].root); | |
return cc[p].root; | |
} | |
}; |
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