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- #include <vector>
- #include <algorithm>
- #include <iostream>
- #include <utility>
- #include <queue>
- std::vector<std::vector<int>> Transpose(int nodes, const std::vector<std::vector<int>>& edges) {
- std::vector<std::vector<int>> new_edges(nodes);
- for (int node = 0; node < nodes; ++node) {
- for (auto end : edges[node]) {
- new_edges[end].push_back(node);
- }
- }
- return new_edges;
- }
- int Condense(const std::vector<std::vector<int>>& edges,
- const std::vector<int>& colors, int nodes_number) {
- std::vector<int> components(nodes_number);
- std::vector<int> com_edges(nodes_number);
- size_t sz = edges.size();
- for (size_t node = 0; node < sz; ++node) {
- int new_node = colors[node] - 1;
- components[new_node] += 1;
- for (auto elem : edges[node]) {
- if (colors[node] != colors[elem]) {
- com_edges[colors[elem] - 1] = 1;
- }
- }
- }
- int min = sz;
- for (int i = 0; i < nodes_number; ++i) {
- if (com_edges[i] == 0) {
- min = std::min(min, components[i]);
- }
- }
- return min;
- }
- void dfs_f(const std::vector<std::vector<int>>& edges, std::vector<int>& visited,
- std::vector<int>& order, int node) {
- visited[node] = 1;
- for (auto elem : edges[node]) {
- if (visited[elem] == 0) {
- dfs_f(edges, visited, order, elem);
- }
- }
- order.push_back(node);
- }
- void dfs_s(const std::vector<std::vector<int>>& edges, std::vector<int>& visited,
- int node, int color) {
- visited[node] = color;
- for (auto elem : edges[node]) {
- if (visited[elem] == 0) {
- dfs_s(edges, visited, elem, color);
- }
- }
- }
- int FindStronglyConnectedComponents(int nodes, const std::vector<std::vector<int>>& edges) {
- std::vector<int> visited(nodes, 0);
- std::vector<int> order;
- for (int i = 0; i < nodes; ++i) {
- if (visited[i] == 0) {
- dfs_f(edges, visited, order, i);
- }
- }
- std::reverse(order.begin(), order.end());
- std::vector<std::vector<int>> tr_graph = Transpose(nodes, edges);
- std::vector<int> colors(nodes, 0);
- int color = 1;
- for (auto node : order) {
- if (colors[node] == 0) {
- dfs_s(tr_graph, colors, node, color);
- color++;
- }
- }
- return Condense(edges, colors, color - 1);
- }
- int main() {
- std::ios_base::sync_with_stdio(false);
- std::cin.tie(nullptr);
- Graph graph = Read_graph();
- int nn, mm, fn, sn, res;
- std::cin >> nn >> mm;
- std::vector<std::vector<int>> edges(nn);
- for (int i = 0; i < mm; ++i) {
- std::cin >> fn >> sn >> res;
- if (res == 1) {
- edges[fn - 1].push_back(sn - 1);
- }
- if (res == 2) {
- edges[sn - 1].push_back(fn - 1);
- }
- }
- std::cout << nn + 1 - FindStronglyConnectedComponents(nn, edges) << std::endl;
- return 0;
- }
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