Kruskal

#include <algorithm>
#include <array>
#include <iostream>
#include <vector>
//#include <boost/multiprecision/cpp_int.hpp>
// using namespace boost::multiprecision;
const int mx = 1e6 + 5;
using ll = int64_t;

std::array<ll, mx> parent;
ll node, edge;
std::vector<std::pair<ll, std::pair<ll, ll>>> edges;
void initial() {
    for (int i = 0; i < node + edge; ++i) {
        parent[i] = i;
    }
}

int root(int i) {
    while (parent[i] != i) {
        parent[i] = parent[parent[i]];
        i = parent[i];
    }
    return i;
}

void join(int x, int y) {
    int root_x = root(x);  // Disjoint set union by rank
    int root_y = root(y);
    parent[root_x] = root_y;
}

ll kruskal() {
    ll mincost = 0;
    for (int i = 0; i < edge; ++i) {
        ll x = edges[i].second.first;
        ll y = edges[i].second.second;
        if (root(x) != root(y)) {
            mincost += edges[i].first;
            join(x, y);
        }
    }
    return mincost;
}

int main() {
    while (true) {
        int from = 0, to = 0, cost = 0, totalcost = 0;
        std::cin >> node >> edge;  // Enter the nodes and edges
        if (node == 0 && edge == 0) {
            break;  // Enter 0 0 to break out
        }
        initial();  // Initialise the parent array
        for (int i = 0; i < edge; ++i) {
            std::cin >> from >> to >> cost;
            edges.emplace_back(make_pair(cost, std::make_pair(from, to)));
            totalcost += cost;
        }
        sort(edges.begin(), edges.end());
        std::cout << kruskal() << std::endl;
        edges.clear();
    }
    return 0;
}
Algerlogo

Β© Alger 2022

About us

We are a group of programmers helping each other build new things, whether it be writing complex encryption programs, or simple ciphers. Our goal is to work together to document and model beautiful, helpful and interesting algorithms using code. We are an open-source community - anyone can contribute. We check each other's work, communicate and collaborate to solve problems. We strive to be welcoming, respectful, yet make sure that our code follows the latest programming guidelines.