examples/cpp/union_find.aoj.test.cpp

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• Last update: 2022-12-11 03:12:41+09:00
• Problem: https://onlinejudge.u-aizu.ac.jp/courses/library/3/DSL/all/DSL_1_A

Depends on

• examples/cpp/macros.hpp
• a Union-Find (examples/cpp/union_find.hpp)

Code

#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/3/DSL/all/DSL_1_A"
#include <iostream>
#include "examples/cpp/union_find.hpp"
#include "examples/cpp/union_find.hpp"
#include "examples/cpp/union_find.hpp"
#include "examples/cpp/union_find.hpp"
#include "examples/cpp/union_find.hpp"
#include "examples/cpp/macros.hpp"
using namespace std;

int main() {
    int n, q; cin >> n >> q;
    union_find uf(n);
    REP (i, q) {
        int com, x, y; cin >> com >> x >> y;
        if (com == 0) {
            uf.unite_trees(x, y);
        } else if (com == 1) {
            cout << uf.is_same(x, y) << endl;
        }
    }
    return 0;
}

#line 1 "examples/cpp/union_find.aoj.test.cpp"
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/3/DSL/all/DSL_1_A"
#include <iostream>
#line 1 "examples/cpp/union_find.hpp"


#include <algorithm>
#include <vector>

/**
 * @brief a Union-Find
 * @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 {
    std::vector<int> data;
    union_find() = default;
    explicit union_find(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 1 "examples/cpp/macros.hpp"
// for 文用マクロ

#line 4 "examples/cpp/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 9 "examples/cpp/union_find.aoj.test.cpp"
using namespace std;

int main() {
    int n, q; cin >> n >> q;
    union_find uf(n);
    REP (i, q) {
        int com, x, y; cin >> com >> x >> y;
        if (com == 0) {
            uf.unite_trees(x, y);
        } else if (com == 1) {
            cout << uf.is_same(x, y) << endl;
        }
    }
    return 0;
}

Test cases

Env	Name	Status	Elapsed	Memory
g++	00_small_00	AC	2 ms	3 MB
g++	00_small_01	AC	2 ms	3 MB
g++	01_rand_00	AC	2 ms	3 MB
g++	01_rand_01	AC	2 ms	3 MB
g++	01_rand_02	AC	2 ms	3 MB
g++	01_rand_03	AC	2 ms	3 MB
g++	01_rand_04	AC	3 ms	3 MB
g++	01_rand_05	AC	3 ms	3 MB
g++	02_linear_00	AC	2 ms	3 MB
g++	02_linear_01	AC	6 ms	3 MB
g++	02_linear_02	AC	16 ms	3 MB
g++	02_linear_03	AC	44 ms	4 MB
g++	03_grid_00	AC	2 ms	3 MB
g++	03_grid_01	AC	2 ms	3 MB
g++	03_grid_02	AC	2 ms	3 MB
g++	03_grid_03	AC	2 ms	3 MB
g++	03_grid_04	AC	2 ms	3 MB
g++	03_grid_05	AC	2 ms	3 MB
g++	03_grid_06	AC	2 ms	3 MB
g++	03_grid_07	AC	3 ms	3 MB
g++	03_grid_08	AC	4 ms	3 MB
g++	04_critical_00	AC	33 ms	3 MB
g++	04_critical_01	AC	29 ms	3 MB
g++	05_groups_00	AC	42 ms	4 MB
g++	05_groups_01	AC	42 ms	3 MB
g++	05_groups_02	AC	42 ms	3 MB
g++	05_groups_03	AC	41 ms	3 MB
g++	05_groups_04	AC	41 ms	3 MB
g++	06_randmax_00	AC	6 ms	3 MB
g++	06_randmax_01	AC	96 ms	3 MB
g++	06_randmax_02	AC	126 ms	3 MB
g++	06_randmax_03	AC	166 ms	3 MB
clang++	00_small_00	AC	2 ms	3 MB
clang++	00_small_01	AC	2 ms	3 MB
clang++	01_rand_00	AC	2 ms	3 MB
clang++	01_rand_01	AC	2 ms	3 MB
clang++	01_rand_02	AC	2 ms	3 MB
clang++	01_rand_03	AC	2 ms	3 MB
clang++	01_rand_04	AC	4 ms	3 MB
clang++	01_rand_05	AC	3 ms	3 MB
clang++	02_linear_00	AC	2 ms	3 MB
clang++	02_linear_01	AC	4 ms	3 MB
clang++	02_linear_02	AC	13 ms	3 MB
clang++	02_linear_03	AC	24 ms	3 MB
clang++	03_grid_00	AC	2 ms	3 MB
clang++	03_grid_01	AC	2 ms	3 MB
clang++	03_grid_02	AC	2 ms	3 MB
clang++	03_grid_03	AC	2 ms	3 MB
clang++	03_grid_04	AC	2 ms	3 MB
clang++	03_grid_05	AC	2 ms	3 MB
clang++	03_grid_06	AC	2 ms	3 MB
clang++	03_grid_07	AC	2 ms	3 MB
clang++	03_grid_08	AC	3 ms	3 MB
clang++	04_critical_00	AC	21 ms	3 MB
clang++	04_critical_01	AC	21 ms	3 MB
clang++	05_groups_00	AC	35 ms	4 MB
clang++	05_groups_01	AC	35 ms	4 MB
clang++	05_groups_02	AC	35 ms	3 MB
clang++	05_groups_03	AC	35 ms	4 MB
clang++	05_groups_04	AC	35 ms	3 MB
clang++	06_randmax_00	AC	4 ms	3 MB
clang++	06_randmax_01	AC	53 ms	3 MB
clang++	06_randmax_02	AC	121 ms	3 MB
clang++	06_randmax_03	AC	95 ms	3 MB

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