rbSparky / test

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test

A dummy repo to test workflows and other things as well

Test markdown

Union Find Disjoint Set

$$ logn = \begin{cases} 0 &\text{if } n <= 1 \ 1 + log(log(n)) &\text{if } n > 1 \end{cases} $$

O(log*n) is almost O(1) level ( not as fast as O(1) ), but much faster than O(log n).

struct UFDS {
	vector<int> f, siz;
	UFDS(int n) : f(n), siz(n, 1) { iota(f.begin(), f.end(), 0); }
	int leader(int x) {
		while(x != f[x]) x = f[x] = f[f[x]];
		return x;
	}
	bool same(int x, int y) { return leader(x) == leader(y); }
	bool merge(int x, int y) {
		x = leader(x);
		y = leader(y);
		if (x == y)
			return false;
		siz[x] += siz[y];
		f[y] = x;
		return true;
	}
	int size(int x) { return siz[leader(x)]; }
};

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