examples/union_find_tree.yosupo.test.cpp

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Last update: 2023-12-09 20:36:27+09:00
Problem: https://judge.yosupo.jp/problem/unionfind

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Code

#define PROBLEM "https://judge.yosupo.jp/problem/unionfind"
#include <iostream>
#include "examples/union_find_tree.hpp"
#include "examples/macros.hpp"
using namespace std;

int main() {
    int n, q; cin >> n >> q;
    union_find_tree uft(n);
    REP (i, q) {
        int t, u, v; cin >> t >> u >> v;
        if (t == 0) {
            uft.unite_trees(u, v);
        } else if (t == 1) {
            cout << uft.is_same(u, v) << endl;
        }
    }
    return 0;
}

#line 1 "examples/union_find_tree.yosupo.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/unionfind"
#include <iostream>
#line 1 "examples/union_find_tree.hpp"


#include <algorithm>
#include <vector>

/**
 * @brief a Union-Find Tree
 * @note most operations in $O(\alpha(n))$ where $\alpha(n)$ is the inverse of Ackermann function
 * @note implemented with union-by-size + path-compression
 */
struct union_find_tree {
    std::vector<int> data;
    union_find_tree() = default;
    explicit union_find_tree(int n) : data(n, -1) {}
    bool is_root(int i) { return data[i] < 0; }
    int find_root(int i) { return is_root(i) ? i : (data[i] = find_root(data[i])); }
    int tree_size(int i) { return - data[find_root(i)]; }
    int unite_trees(int i, int j) {
        i = find_root(i); j = find_root(j);
        if (i != j) {
            if (tree_size(i) < tree_size(j)) std::swap(i, j);
            data[i] += data[j];
            data[j] = i;
        }
        return i;
    }
    bool is_same(int i, int j) { return find_root(i) == find_root(j); }
};


#line 2 "examples/macros.hpp"
#define REP(i, n) for (int i = 0; (i) < (int)(n); ++ (i))
#define REP3(i, m, n) for (int i = (m); (i) < (int)(n); ++ (i))
#define REP_R(i, n) for (int i = (int)(n) - 1; (i) >= 0; -- (i))
#define REP3R(i, m, n) for (int i = (int)(n) - 1; (i) >= (int)(m); -- (i))
#define ALL(x) begin(x), end(x)
#line 5 "examples/union_find_tree.yosupo.test.cpp"
using namespace std;

int main() {
    int n, q; cin >> n >> q;
    union_find_tree uft(n);
    REP (i, q) {
        int t, u, v; cin >> t >> u >> v;
        if (t == 0) {
            uft.unite_trees(u, v);
        } else if (t == 1) {
            cout << uft.is_same(u, v) << endl;
        }
    }
    return 0;
}