yizhihenpidehou
296 lines
11 KiB
C++
296 lines
11 KiB
C++
#include "path.h"
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#include "../../classes/graph.h"
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#include "../../common/utils.h"
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#include "../../classes/linkgraph.h"
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#include "../../classes/segment_tree.cpp"
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std::vector<float> _dijkstra(Graph_L &G_l, int source, std::string weight, int target) {
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const int dis_inf = 0x3f3f3f3f;
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int N = G_l.n;
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std::vector<float> dis(N+1,INFINITY);
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Segment_tree_zkw segment_tree_zkw(N);
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segment_tree_zkw.init(N);
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segment_tree_zkw.change(source, 0);
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dis[source] = 0;
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std::vector<LinkEdge>& E = G_l.edges;
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std::vector<int>& head = G_l.head;
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while(segment_tree_zkw.t[1] != dis_inf) {
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int u = segment_tree_zkw.num[1];
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if(u == 0) break;
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segment_tree_zkw.change(u, dis_inf);
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if(u == target){
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break;
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}
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for(register int p = head[u]; p != -1; p = E[p].next) {
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int v = E[p].to;
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if (dis[v] > dis[u] + E[p].w) {
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dis[v] = dis[u] + E[p].w;
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segment_tree_zkw.change(v, dis[v]);
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}
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}
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}
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return dis;
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}
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py::object _dijkstra_multisource(py::object G,py::object sources, py::object weight, py::object target) {
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py::list res_lst = py::list();
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bool is_directed = G.attr("is_directed")().cast<bool>();
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Graph& G_ = G.cast<Graph&>();
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node_t target_id = G_.node_to_id.attr("get")(target, -1).cast<node_t>();
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std::string weight_key = weight_to_string(weight);
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Graph_L G_l;
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if(G_.linkgraph_dirty){
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G_l = graph_to_linkgraph(G_, is_directed, weight_key, true, false);
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G_.linkgraph_structure=G_l;
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G_.linkgraph_dirty = false;
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}
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else{
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G_l = G_.linkgraph_structure;
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}
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int N = G_l.n;
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py::list sources_list = py::list(sources);
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int sources_list_len = py::len(sources_list);
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for(register int i = 0; i < sources_list_len; i++){
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if(G_.node_to_id.attr("get")(sources_list[i],py::none()) == py::none()){
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printf("The node should exist in the graph!");
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return py::none();
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}
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node_t source_id = G_.node_to_id.attr("get")(sources_list[i]).cast<node_t>();
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const std::vector<float>& dis = _dijkstra(G_l,source_id,weight_key,target_id);
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py::list pydist = py::list();
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for(int i = 1;i<=N;i++){
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pydist.append(dis[i]);
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}
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res_lst.append(pydist);
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}
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return res_lst;
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}
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py::object _spfa(py::object G, py::object source, py::object weight) {
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Graph& G_ = G.cast<Graph&>();
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bool is_directed = G.attr("is_directed")().cast<bool>();
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std::string weight_key = weight_to_string(weight);
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Graph_L G_l = graph_to_linkgraph(G_, is_directed,weight_key, false);
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int N = G_.node.size();
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std::vector<int> Q(N+10,0);
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std::vector<double> dis(N+1,INFINITY);
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std::vector<bool> vis(N+1,false);
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int l = 0, r = 1;
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node_t S = G_.node_to_id[source].cast<node_t>();
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Q[0] = S; vis[S] = true; dis[S] = 0;
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std::vector<LinkEdge>& E = G_l.edges;
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std::vector<int>& head = G_l.head;
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while (l != r) {
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if (r != 0 && dis[Q[l]] >= dis[Q[r - 1]])
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std::swap(Q[l], Q[r - 1]);
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int u = Q[l++];
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if (l >= N) l -= N;
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vis[u] = true;
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for(register int p = head[u]; p != -1; p = E[p].next) {
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int v=E[p].to;
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if (dis[v]>dis[u]+E[p].w) {
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dis[v]=dis[u]+E[p].w;
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if (!vis[v]) {
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vis[v]=true;
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if (l == 0 || dis[v] >= dis[Q[l]])
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Q[r++]=v;
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else
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Q[--l]=v;
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if (r >= N) r -= N;
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}
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}
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}
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}
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py::list pydist = py::list();
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for(int i = 1; i <= N; i++){
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pydist.append(py::cast(dis[i]));
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}
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return pydist;
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}
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py::object Prim(py::object G, py::object weight) {
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std::unordered_map<node_t, std::unordered_map<node_t, weight_t>> res_dict;
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py::dict result_dict = py::dict();
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Graph& G_ = G.cast<Graph&>();
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adj_dict_factory adj = G_.adj;
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std::vector<node_t> selected;
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std::vector<node_t> candidate;
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node_dict_factory& node_list = G_.node;
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std::string weight_key = weight_to_string(weight);
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for (node_dict_factory::iterator i = node_list.begin(); i != node_list.end(); i++) {
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node_t node_id = i->first;
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result_dict[G_.id_to_node[py::cast(node_id)]] = py::dict();
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if (selected.size() == 0) {
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selected.emplace_back(node_id);
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} else {
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candidate.emplace_back(node_id);
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}
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}
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while (candidate.size() > 0) {
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node_t start_id = -1;
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node_t end_id = -1;
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weight_t min_weight = INFINITY;
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int selected_len = selected.size();
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int candidate_len = candidate.size();
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for (int i = 0; i < selected_len; i++) {
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for (int j = 0; j < candidate_len; j++) {
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adj_attr_dict_factory node_adj = G_.adj[selected[i]];
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edge_attr_dict_factory edge_attr;
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weight_t edge_weight = INFINITY;
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bool j_exist = false;
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if (node_adj.find(candidate[j]) != node_adj.end()) {
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edge_attr = node_adj[candidate[j]];
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edge_weight = edge_attr.find(weight_key) != edge_attr.end() ? edge_attr[weight_key] : 1;
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j_exist = true;
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}
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if ((node_list.find(selected[i]) != node_list.end()) &&
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j_exist &&
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(edge_weight < min_weight)) {
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start_id = selected[i];
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end_id = candidate[j];
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min_weight = edge_weight;
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}
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}
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}
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if (start_id != -1 && end_id != -1) {
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res_dict[start_id][end_id] = min_weight;
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selected.emplace_back(end_id);
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std::vector<node_t>::iterator temp_iter;
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temp_iter = std::find(candidate.begin(), candidate.end(), end_id);
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candidate.erase(temp_iter);
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} else {
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break;
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}
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}
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for (std::unordered_map<node_t, std::unordered_map<node_t, weight_t>>::iterator k = res_dict.begin();
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k != res_dict.end(); k++) {
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py::object res_node = G_.id_to_node[py::cast(k->first)];
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for (std::unordered_map<node_t, weight_t>::iterator z = k->second.begin(); z != k->second.end(); z++) {
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py::object res_adj_node = G_.id_to_node[py::cast(z->first)];
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result_dict[res_node][res_adj_node] = z->second;
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}
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}
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return result_dict;
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}
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bool comp(const std::pair<std::pair<node_t, node_t>, weight_t>& a, const std::pair<std::pair<node_t, node_t>, weight_t>& b) {
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return a.second < b.second;
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}
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py::object Kruskal(py::object G, py::object weight) {
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std::unordered_map<node_t, std::unordered_map<node_t, weight_t>> res_dict;
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py::dict result_dict = py::dict();
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std::vector<std::vector<node_t>> group;
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Graph& G_ = G.cast<Graph&>();
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adj_dict_factory& adj = G_.adj;
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node_dict_factory& node_list = G_.node;
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std::vector<std::pair<std::pair<node_t, node_t>, weight_t>> edge_list;
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std::string weight_key = weight_to_string(weight);
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for (node_dict_factory::iterator i = node_list.begin(); i != node_list.end(); i++) {
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node_t i_id = i->first;
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result_dict[G_.id_to_node[py::cast(i_id)]] = py::dict();
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std::vector<node_t> temp_vector;
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temp_vector.emplace_back(i_id);
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group.emplace_back(temp_vector);
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adj_attr_dict_factory i_adj = adj[i_id];
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for (adj_attr_dict_factory::iterator j = i_adj.begin(); j != i_adj.end(); j++) {
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node_t j_id = j->first;
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weight_t edge_weight = adj[i_id][j_id].find(weight_key) != adj[i_id][j_id].end() ? adj[i_id][j_id][weight_key] : 1;
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edge_list.emplace_back(std::make_pair(std::make_pair(i_id, j_id), edge_weight));
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}
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}
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std::sort(edge_list.begin(), edge_list.end(), comp);
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node_t m, n;
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int group_size = group.size();
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for (auto edge : edge_list) {
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for (int i = 0; i < group_size; i++) {
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int group_i_size = group[i].size();
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for (int j = 0; j < group_i_size; j++) {
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if (group[i][j] == edge.first.first) {
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m = i;
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break;
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}
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}
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for (int j = 0; j < group_i_size; j++) {
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if (group[i][j] == edge.first.second) {
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n = i;
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break;
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}
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}
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}
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if (m != n) {
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res_dict[edge.first.first][edge.first.second] = edge.second;
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std::vector<node_t> temp_vector;
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group[m].insert(group[m].end(), group[n].begin(), group[n].end());
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group[n].clear();
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}
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}
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for (std::unordered_map<node_t, std::unordered_map<node_t, weight_t>>::iterator k = res_dict.begin();
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k != res_dict.end(); k++) {
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py::object res_node = G_.id_to_node[py::cast(k->first)];
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for (std::unordered_map<node_t, weight_t>::iterator z = k->second.begin(); z != k->second.end(); z++) {
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py::object res_adj_node = G_.id_to_node[py::cast(z->first)];
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result_dict[res_node][res_adj_node] = z->second;
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}
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}
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return result_dict;
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}
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py::object Floyd(py::object G, py::object weight) {
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std::unordered_map<node_t, std::unordered_map<node_t, weight_t>> res_dict;
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Graph& G_ = G.cast<Graph&>();
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adj_dict_factory& adj = G_.adj;
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py::dict result_dict = py::dict();
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node_dict_factory& node_list = G_.node;
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std::string weight_key = weight_to_string(weight);
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for (node_dict_factory::iterator i = node_list.begin(); i != node_list.end(); i++) {
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result_dict[G_.id_to_node[py::cast(i->first)]] = py::dict();
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adj_attr_dict_factory temp_key = adj[i->first];
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for (node_dict_factory::iterator j = node_list.begin(); j != node_list.end(); j++) {
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if (temp_key.find(j->first) != temp_key.end()) {
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if (adj[i->first][j->first].count(weight_key) == 0) {
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adj[i->first][j->first][weight_key] = 1;
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}
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res_dict[i->first][j->first] = adj[i->first][j->first][weight_key];
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} else {
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res_dict[i->first][j->first] = INFINITY;
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}
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if (i->first == j->first) {
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res_dict[i->first][i->first] = 0;
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}
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}
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}
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for (node_dict_factory::iterator k = node_list.begin(); k != node_list.end(); k++) {
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for (node_dict_factory::iterator i = node_list.begin(); i != node_list.end(); i++) {
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for (node_dict_factory::iterator j = node_list.begin(); j != node_list.end(); j++) {
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weight_t temp = res_dict[i->first][k->first] + res_dict[k->first][j->first];
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weight_t i_j_weight = res_dict[i->first][j->first];
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if (i_j_weight > temp) {
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res_dict[i->first][j->first] = temp;
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}
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}
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}
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}
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for (std::unordered_map<node_t, std::unordered_map<node_t, weight_t>>::iterator k = res_dict.begin();
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k != res_dict.end(); k++) {
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py::object res_node = G_.id_to_node[py::cast(k->first)];
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for (std::unordered_map<node_t, weight_t>::iterator z = k->second.begin(); z != k->second.end(); z++) {
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py::object res_adj_node = G_.id_to_node[py::cast(z->first)];
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result_dict[res_node][res_adj_node] = z->second;
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}
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}
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return result_dict;
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}
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