Submission #227167

#TimeUsernameProblemLanguageResultExecution timeMemory
227167abekerMatching (COCI20_matching)C++17
11 / 110
20 ms19968 KiB
#include <bits/stdc++.h> using namespace std; typedef pair <int, int> pii; const int MAXN = 1e5 + 5; const int offset = 1 << 17; const int MAXV = 2e7 + 5; struct Node { int val; Node* nxt; }; class Graph { Node* get_node(int dest, Node* head) { Node* newNode = new Node; newNode -> val = dest; newNode -> nxt = head; return newNode; } int N; public: Node **head; Graph(int N) { head = new Node*[N](); this -> N = N; for (int i = 0; i < N; i++) head[i] = nullptr; } Graph(){} void add(int src, int dest) { head[src] = get_node(dest, head[src]); } ~Graph() { for (int i = 0; i < N; i++) delete[] head[i]; delete[] head; } }; int n; stack <int> order; inline int add_variables(int vars) { n += vars; return n - vars; } void add_edge(int u, int v, vector <pii> &e) { e.push_back({u, v}); } void add_implication(int u1, int neg1, int u2, int neg2, vector <pii> &e) { if (u1 == -1 || u2 == -1) return; add_edge(2 * u1 + neg1, 2 * u2 + neg2, e); add_edge(2 * u2 + !neg2, 2 * u1 + !neg1, e); } void dfs_forward(int x, Graph &g, char *vis) { vis[x] = 1; for (Node* ptr = g.head[x]; ptr != nullptr; ptr = ptr -> nxt) if (!vis[ptr -> val]) dfs_forward(ptr -> val, g, vis); order.push(x); } void bye() { puts("NE"); exit(0); } void dfs_backward(int x, Graph &g, char *vis, bool *ans) { if (vis[x ^ 1] == -1) bye(); vis[x] = -1; ans[x] = vis[x ^ 1]; for (Node* ptr = g.head[x]; ptr != nullptr; ptr = ptr -> nxt) if (!vis[ptr -> val]) dfs_backward(ptr -> val, g, vis, ans); vis[x] = 1; } int N; int x[MAXN], y[MAXN]; int off[2 * offset]; vector <int> pos[2 * offset]; vector <pii> tour[2 * offset]; vector <int> hor[MAXN], ver[MAXN]; unordered_map <int, pii> segs; vector <int> graph[MAXN]; void load() { scanf("%d", &N); for (int i = 0; i < N; i++) { scanf("%d%d", x + i, y + i); hor[y[i]].push_back(i); ver[x[i]].push_back(i); } } void insert(int x, int lo, int hi, int from, int to, int var, int height) { if (lo >= to || hi <= from) return; if (lo >= from && hi <= to) { tour[x].push_back({height, var}); return; } int mid = (lo + hi) / 2; insert(2 * x, lo, mid, from, to, var, height); insert(2 * x + 1, mid, hi, from, to, var, height); } inline int get_id(int node, int x) { return x >= off[node] && x < off[node] + tour[node].size() ? tour[node][x - off[node]].second : pos[node][x]; } void add_clause(int x, int u, int v, vector <pii> &e) { add_implication(get_id(x, u), 0, get_id(x, v), 0, e); } bool dfs(int node, int x, vector <int> &v) { if (x >= off[node]) return x < off[node] + tour[node].size(); dfs(node, 2 * x, v); if (dfs(node, 2 * x + 1, v)) { v.push_back(x); return true; } return false; } void init(int x, vector <pii> &e) { if (tour[x].empty()) return; off[x] = 1; sort(tour[x].begin(), tour[x].end()); while (off[x] < tour[x].size()) off[x] *= 2; vector <int> toAdd; dfs(x, 1, toAdd); int sz = toAdd.size(); int st = add_variables(sz); pos[x].resize(2 * off[x], -1); for (int i = 0; i < sz; i++) pos[x][toAdd[i]] = st + i; for (auto it : toAdd) { add_clause(x, 2 * it, it, e); add_clause(x, 2 * it + 1, it, e); } } int get_bounds(int x, int val) { int lo = 0, hi = tour[x].size(); while (lo < hi) { int mid = (lo + hi) / 2; if (tour[x][mid].first >= val) hi = mid; else lo = mid + 1; } return lo; } void update(int node, int from, int to, int var, vector <pii> &e) { if (!off[node]) return; from += off[node]; to += off[node]; while (from < to) { if (from % 2) add_implication(get_id(node, from++), 0, var, 1, e); if (to % 2) add_implication(get_id(node, --to), 0, var, 1, e); from /= 2; to /= 2; } } void add_intersections(int x, int down, int up, int var, vector <pii> &e) { for (x += offset; x; x /= 2) update(x, get_bounds(x, down), get_bounds(x, up + 1), var, e); } void solve() { for (int i = 1; i < MAXN; i++) if (hor[i].size() == 2) { int tmp = add_variables(1); segs[tmp] = {hor[i][0], hor[i][1]}; int l = MAXN, r = 0; for (auto it : hor[i]) { graph[it].push_back(tmp); l = min(l, x[it]); r = max(r, x[it]); } insert(1, 0, offset, l, r + 1, tmp, i); } vector <pii> edges; for (int i = 0; i < 2 * offset; i++) init(i, edges); for (int i = 1; i < MAXN; i++) if (ver[i].size() == 2) { int tmp = add_variables(1); segs[tmp] = {ver[i][0], ver[i][1]}; int l = MAXN, r = 0; for (auto it : ver[i]) { graph[it].push_back(tmp); l = min(l, y[it]); r = max(r, y[it]); } add_intersections(i, l, r, tmp, edges); } for (int i = 0; i < N; i++) if (!graph[i].empty()) add_implication(graph[i][0], 1, graph[i][1 % graph[i].size()], 0, edges); else bye(); bool *sol = new bool[2 * n]; char *bio = new char[2 * n]; Graph adj(2 * n), rev(2 * n); for (auto it : edges) { adj.add(it.first, it.second); rev.add(it.second, it.first); } for (int i = 0; i < 2 * n; i++) if (!bio[i]) dfs_forward(i, adj, bio); for (int i = 0; i < 2 * n; i++) bio[i] = 0; for (; !order.empty(); order.pop()) if (!bio[order.top()]) dfs_backward(order.top(), rev, bio, sol); puts("DA"); for (auto it : segs) if (sol[2 * it.first]) printf("%d %d\n", it.second.first + 1, it.second.second + 1); delete[] sol; delete[] bio; } int main() { double timer = clock(); load(); solve(); fprintf(stderr, "%lf\n", (clock() - timer) / CLOCKS_PER_SEC); return 0; }

Compilation message (stderr)

matching.cpp: In function 'int get_id(int, int)':
matching.cpp:116:29: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  return x >= off[node] && x < off[node] + tour[node].size() ? tour[node][x - off[node]].second : pos[node][x]; 
                           ~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
matching.cpp: In function 'bool dfs(int, int, std::vector<int>&)':
matching.cpp:125:12: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   return x < off[node] + tour[node].size();
          ~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
matching.cpp: In function 'void init(int, std::vector<std::pair<int, int> >&)':
matching.cpp:139:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  while (off[x] < tour[x].size())
         ~~~~~~~^~~~~~~~~~~~~~~~
matching.cpp: In function 'void load()':
matching.cpp:95:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &N);
  ~~~~~^~~~~~~~~~
matching.cpp:97:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d%d", x + i, y + i);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~
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