/*
* Copyright (C) 2015 Paweł Widera
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details:
* http://www.gnu.org/licenses/gpl.html
*/
#include <iostream>
#include <vector>
#include <deque>
#include <unordered_set>
#include <algorithm>
using namespace std;
void remove_node(vector<unordered_set<int>>& graph, int node, unordered_set<int>& nodes) {
for (auto i : graph[node]) {
graph[i].erase(node);
}
graph[node].clear();
nodes.erase(node);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m, d;
cin >> n >> m >> d;
// read graph
int source, target;
vector<unordered_set<int>> graph(n);
for (int i = 0; i < m; ++i) {
cin >> source >> target;
graph[source - 1].insert(target - 1);
graph[target - 1].insert(source - 1);
}
// copy nodes (to track nodes left after removals)
unordered_set<int> nodes;
unordered_set<int> check;
for (int i = 0; i < n; ++i) {
nodes.insert(i);
check.insert(i);
}
// remove nodes with degree < d
while (!check.empty()) {
int node = *begin(check);
if ((int) graph[node].size() < d) {
// make sure all connected nodes are checked later
for (auto altered: graph[node]) {
check.insert(altered);
}
remove_node(graph, node, nodes);
}
check.erase(node);
}
// graph too small
if ((int) nodes.size() < d + 1) {
cout << "NIE" << endl;
return 0;
}
unordered_set<int> cities;
deque<int> queue;
vector<int> best;
while (nodes.size() > best.size()) {
// find a node with maximum degree
int max_degree = *begin(nodes);
for (auto node: nodes) {
if (graph[max_degree].size() < graph[node].size()) {
max_degree = node;
}
}
// breadth-first search
queue.push_back(max_degree);
cities.insert(max_degree);
while (!queue.empty()) {
int node = queue[0];
queue.pop_front();
for (auto connected : graph[node]) {
if (cities.count(connected) == 0) {
cities.insert(connected);
queue.push_back(connected);
}
}
}
// remove cities from the graph
for (auto node: cities) {
remove_node(graph, node, nodes);
}
// remember the largest set of cities
if (best.size() < cities.size()) {
best.clear();
best.reserve(cities.size());
for (auto node: cities) {
best.push_back(node);
}
}
cities.clear();
}
cout << best.size() << endl;
sort(begin(best), end(best));
for (auto i: best) {
cout << i + 1 << " ";
}
cout << endl;
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 | /* * Copyright (C) 2015 Paweł Widera * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 3 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details: * http://www.gnu.org/licenses/gpl.html */ #include <iostream> #include <vector> #include <deque> #include <unordered_set> #include <algorithm> using namespace std; void remove_node(vector<unordered_set<int>>& graph, int node, unordered_set<int>& nodes) { for (auto i : graph[node]) { graph[i].erase(node); } graph[node].clear(); nodes.erase(node); } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m, d; cin >> n >> m >> d; // read graph int source, target; vector<unordered_set<int>> graph(n); for (int i = 0; i < m; ++i) { cin >> source >> target; graph[source - 1].insert(target - 1); graph[target - 1].insert(source - 1); } // copy nodes (to track nodes left after removals) unordered_set<int> nodes; unordered_set<int> check; for (int i = 0; i < n; ++i) { nodes.insert(i); check.insert(i); } // remove nodes with degree < d while (!check.empty()) { int node = *begin(check); if ((int) graph[node].size() < d) { // make sure all connected nodes are checked later for (auto altered: graph[node]) { check.insert(altered); } remove_node(graph, node, nodes); } check.erase(node); } // graph too small if ((int) nodes.size() < d + 1) { cout << "NIE" << endl; return 0; } unordered_set<int> cities; deque<int> queue; vector<int> best; while (nodes.size() > best.size()) { // find a node with maximum degree int max_degree = *begin(nodes); for (auto node: nodes) { if (graph[max_degree].size() < graph[node].size()) { max_degree = node; } } // breadth-first search queue.push_back(max_degree); cities.insert(max_degree); while (!queue.empty()) { int node = queue[0]; queue.pop_front(); for (auto connected : graph[node]) { if (cities.count(connected) == 0) { cities.insert(connected); queue.push_back(connected); } } } // remove cities from the graph for (auto node: cities) { remove_node(graph, node, nodes); } // remember the largest set of cities if (best.size() < cities.size()) { best.clear(); best.reserve(cities.size()); for (auto node: cities) { best.push_back(node); } } cities.clear(); } cout << best.size() << endl; sort(begin(best), end(best)); for (auto i: best) { cout << i + 1 << " "; } cout << endl; return 0; } |
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