#include <iomanip> #include <iostream> #include <queue> #include <utility> #include <algorithm> #include <cassert> #include <string> #include <vector> #include <set> #include <map> #include <cstdlib> #include <unordered_map> using namespace std; #define ALL(x) x.begin(), x.end() #define VAR(a,b) __typeof (b) a = b #define REP(i,n) for (int _n=(n), i=0; i<_n; ++i) #define FOR(i,a,b) for (int _b=(b), i=(a); i<=_b; ++i) #define FORD(i,a,b) for (int _b=(b), i=(a); i>=_b; --i) #define FORE(i,a) for (VAR(i,a.begin ()); i!=a.end (); ++i) #define IN(x) int x; cin >> x #define PB push_back #define MP make_pair #define ST first #define ND second typedef vector<int> VI; typedef long long LL; typedef pair<int,int> PII; typedef double LD; int n; struct request { int a, b; int id; int deadline; request(int a, int b, int id) : a(a), b(b), id(id) {} }; ostream& operator<<(ostream& o, const request& r) { return o << "(" << r.a << ", " << r.b << ", " << r.id << ")"; } struct compare_by_neg_end { bool operator()(const request& r1, const request& r2) const { return -r1.b < -r2.b; } }; struct compare_by_beg { bool operator()(const request& r1, const request& r2) const { return r1.a < r2.a; } }; struct compare_by_neg_beg { bool operator()(const request& r1, const request& r2) const { return -r1.a < -r2.a; } }; struct compare_by_end { bool operator()(const request& r1, const request& r2) const { return r1.b < r2.b; } }; struct per_machine { vector<request> requests; priority_queue<int, vector<int>, greater<int>> deadlines; priority_queue<request, vector<request>, compare_by_neg_end> active; int num; void dump() const { //cout << "requests: \n"; //FORE(it, requests) cout << *it << endl; //cout << "end of requests" << endl; //FORE(it, deadlines) cout << *it << endl; //cout << "end of deadlines\n"; //FORE(it, active) // cout << *it << endl; //cout << "end of active" << endl; cout << "end of dump of " << num << endl << endl << endl; } int next_event() const { int val = int(1e9) + 1; if (!deadlines.empty()) val = min(val, deadlines.top()); if (!requests.empty()) val = min(val, requests.back().a); return val; } bool can_move() const { if (requests.empty()) return false; if (deadlines.empty()) return true; return requests.back().a <= deadlines.top(); } int move_until_now(int now) { int cnt = 0; while (!requests.empty() && requests.back().a == now) { auto request = requests.back(); requests.pop_back(); deadlines.push(request.deadline); active.push(request); assert(deadlines.size() == active.size()); ++cnt; } int new_now = next_event(); assert(new_now >= now); return cnt; } }; void process(int p, per_machine& mach) { sort(ALL(mach.requests), compare_by_neg_end()); reverse(ALL(mach.requests)); vector<request> sorted; priority_queue<request, vector<request>, compare_by_beg> pq; int next_to_alloc = int(1e9); do { while (!mach.requests.empty() && mach.requests.back().b == next_to_alloc) { auto request = mach.requests.back(); mach.requests.pop_back(); pq.push(request); } if (pq.empty()) { if (mach.requests.empty()) break; assert(mach.requests.back().b < next_to_alloc); next_to_alloc = mach.requests.back().b; continue; } auto nxt = pq.top(); pq.pop(); if (nxt.a > next_to_alloc) { cout << "NIE" << endl; exit(0); } nxt.deadline = next_to_alloc; sorted.PB(nxt); --next_to_alloc; } while (true); sort(ALL(sorted), compare_by_neg_beg()); swap(sorted, mach.requests); mach.num = p; //cout << "######" << endl; //cout << p << endl; //FORE(it, mach.requests) cout << "(" << it->a << ", " << it->b << ") "; //cout << endl; //cout << "######" << endl << endl; } int res = 0; const int MAXN = int(1e6); int alloted[MAXN]; unordered_map<int, per_machine> per_mach; struct compare_machine { bool operator()(const per_machine* mach1, const per_machine* mach2) const { int event1 = mach1->next_event(), event2 = mach2->next_event(); if (event1 != event2) return -event1 < -event2; if (mach2->can_move() && !mach1->can_move()) return true; return false; } }; int cnt = 0; void run2() { vector<per_machine*> creator, active_vec; creator.reserve(per_mach.size()); for (auto& it : per_mach) creator.PB(&it.second); priority_queue<per_machine*, vector<per_machine*>, compare_machine> inactive(creator.begin(), creator.end()), active; creator.clear(); int prev_now = -1; while (!inactive.empty() || !active.empty()) { int next_inactive = int(1e9) + 1, next_active = int(1e9) + 1; if (!inactive.empty()) { per_machine* nxt = inactive.top(); next_inactive = nxt->next_event(); } if (!active.empty()) { per_machine* nxt = active.top(); next_active = nxt->next_event(); } if (next_inactive <= next_active) { per_machine* nxt = inactive.top(); inactive.pop(); int now = nxt->next_event(); assert(now >= prev_now); prev_now = now; assert(!nxt->requests.empty()); int moved = nxt->move_until_now(now); assert(moved > 0); active.push(nxt); active_vec.PB(nxt); } else { assert(!active.empty()); per_machine* nxt = active.top(); active.pop(); int now = nxt->next_event(); assert(now >= prev_now); prev_now = now; assert(now <= int(1e9)); int moved = nxt->move_until_now(now); active.push(nxt); if (moved > 0) continue; ++res; FORE(it, active_vec) { per_machine* nxt = *it; auto request = nxt->active.top(); int this_now = nxt->next_event(); nxt->active.pop(); assert(request.a <= now); assert(now <= request.b); alloted[request.id] = now; ++cnt; nxt->deadlines.pop(); if (nxt->active.empty()) { if (nxt->requests.empty()) continue; assert(this_now <= nxt->next_event()); inactive.push(nxt); } else { assert(this_now <= nxt->next_event()); creator.PB(nxt); } } active_vec = creator; active = priority_queue<per_machine*, vector<per_machine*>, compare_machine>(creator.begin(), creator.end()); creator.clear(); } } assert(cnt == n); } //struct compare_inactive { // bool operator()(const per_machine* mach1, const per_machine* mach2) const { // assert(mach1->next_pos < mach1->requests.size()); // assert(mach2->next_pos < mach2->requests.size()); // return mach1->requests[mach1->next_pos].a < mach2->requests[mach2->next_pos].a; // } //}; // //struct compare_active { // bool operator()(const per_machine* mach1, const per_machine* mach2) const { // assert(mach1->next_pos < mach1->deadline.size()); // assert(mach2->next_pos < mach2->deadline.size()); // return mach1->deadline[mach1->next_pos] < mach2->deadline[mach2->next_pos]; // } //}; //void run() { // multiset<per_machine*, compare_inactive> inactive; // for (auto& it : per_mach) // inactive.insert(&it.second); // multiset<per_machine*, compare_active> active; // while (!inactive.empty() || !active.empty()) { // int next_inactive = int(1e9) + 1, next_active = int(1e9) + 1; // if (!inactive.empty()) { // per_machine* nxt = *inactive.begin(); // next_inactive = nxt->requests[nxt->next_pos].a; // } // if (!active.empty()) { // per_machine* nxt = *active.begin(); // next_active = nxt->deadline[nxt->next_pos]; // } // //cout << "inactive = " << next_inactive << ", active = " << next_active << endl; // if (next_inactive <= next_active) { // per_machine* nxt = *inactive.begin(); // inactive.erase(inactive.begin()); // active.insert(nxt); // } // else { // per_machine* nxt = *active.begin(); // int deadline = nxt->deadline[nxt->next_pos]; // ++res; // multiset<per_machine*, compare_active> new_active; // FORE(it, active) { // per_machine* nxt = *it; // //cout << nxt->requests[nxt->next_pos] << " " << deadline << endl; // //cout << nxt->next_pos << " " << nxt->requests.size() << endl; // alloted[nxt->requests[nxt->next_pos].id] = deadline; // if (++nxt->next_pos == nxt->requests.size()) continue; // //cout << "hey" << endl; // if (nxt->requests[nxt->next_pos].a <= deadline) // new_active.insert(nxt); // else // inactive.insert(nxt); // } // swap(active, new_active); // } // } //} void read_input() { cin >> n; { int k; cin >> k; /* ignore k */ } REP(i, n) { IN(a); IN(b); IN(p); if (!per_mach.count(p)) per_mach[p] = per_machine(); per_mach[p].requests.PB(request(a, b, i)); } } int main() { ios_base::sync_with_stdio(0); cout.setf(ios::fixed); read_input(); for (auto& it: per_mach) process(it.first, it.second); run2(); cout << res << endl; REP(i, n) cout << alloted[i] << 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 | #include <iomanip> #include <iostream> #include <queue> #include <utility> #include <algorithm> #include <cassert> #include <string> #include <vector> #include <set> #include <map> #include <cstdlib> #include <unordered_map> using namespace std; #define ALL(x) x.begin(), x.end() #define VAR(a,b) __typeof (b) a = b #define REP(i,n) for (int _n=(n), i=0; i<_n; ++i) #define FOR(i,a,b) for (int _b=(b), i=(a); i<=_b; ++i) #define FORD(i,a,b) for (int _b=(b), i=(a); i>=_b; --i) #define FORE(i,a) for (VAR(i,a.begin ()); i!=a.end (); ++i) #define IN(x) int x; cin >> x #define PB push_back #define MP make_pair #define ST first #define ND second typedef vector<int> VI; typedef long long LL; typedef pair<int,int> PII; typedef double LD; int n; struct request { int a, b; int id; int deadline; request(int a, int b, int id) : a(a), b(b), id(id) {} }; ostream& operator<<(ostream& o, const request& r) { return o << "(" << r.a << ", " << r.b << ", " << r.id << ")"; } struct compare_by_neg_end { bool operator()(const request& r1, const request& r2) const { return -r1.b < -r2.b; } }; struct compare_by_beg { bool operator()(const request& r1, const request& r2) const { return r1.a < r2.a; } }; struct compare_by_neg_beg { bool operator()(const request& r1, const request& r2) const { return -r1.a < -r2.a; } }; struct compare_by_end { bool operator()(const request& r1, const request& r2) const { return r1.b < r2.b; } }; struct per_machine { vector<request> requests; priority_queue<int, vector<int>, greater<int>> deadlines; priority_queue<request, vector<request>, compare_by_neg_end> active; int num; void dump() const { //cout << "requests: \n"; //FORE(it, requests) cout << *it << endl; //cout << "end of requests" << endl; //FORE(it, deadlines) cout << *it << endl; //cout << "end of deadlines\n"; //FORE(it, active) // cout << *it << endl; //cout << "end of active" << endl; cout << "end of dump of " << num << endl << endl << endl; } int next_event() const { int val = int(1e9) + 1; if (!deadlines.empty()) val = min(val, deadlines.top()); if (!requests.empty()) val = min(val, requests.back().a); return val; } bool can_move() const { if (requests.empty()) return false; if (deadlines.empty()) return true; return requests.back().a <= deadlines.top(); } int move_until_now(int now) { int cnt = 0; while (!requests.empty() && requests.back().a == now) { auto request = requests.back(); requests.pop_back(); deadlines.push(request.deadline); active.push(request); assert(deadlines.size() == active.size()); ++cnt; } int new_now = next_event(); assert(new_now >= now); return cnt; } }; void process(int p, per_machine& mach) { sort(ALL(mach.requests), compare_by_neg_end()); reverse(ALL(mach.requests)); vector<request> sorted; priority_queue<request, vector<request>, compare_by_beg> pq; int next_to_alloc = int(1e9); do { while (!mach.requests.empty() && mach.requests.back().b == next_to_alloc) { auto request = mach.requests.back(); mach.requests.pop_back(); pq.push(request); } if (pq.empty()) { if (mach.requests.empty()) break; assert(mach.requests.back().b < next_to_alloc); next_to_alloc = mach.requests.back().b; continue; } auto nxt = pq.top(); pq.pop(); if (nxt.a > next_to_alloc) { cout << "NIE" << endl; exit(0); } nxt.deadline = next_to_alloc; sorted.PB(nxt); --next_to_alloc; } while (true); sort(ALL(sorted), compare_by_neg_beg()); swap(sorted, mach.requests); mach.num = p; //cout << "######" << endl; //cout << p << endl; //FORE(it, mach.requests) cout << "(" << it->a << ", " << it->b << ") "; //cout << endl; //cout << "######" << endl << endl; } int res = 0; const int MAXN = int(1e6); int alloted[MAXN]; unordered_map<int, per_machine> per_mach; struct compare_machine { bool operator()(const per_machine* mach1, const per_machine* mach2) const { int event1 = mach1->next_event(), event2 = mach2->next_event(); if (event1 != event2) return -event1 < -event2; if (mach2->can_move() && !mach1->can_move()) return true; return false; } }; int cnt = 0; void run2() { vector<per_machine*> creator, active_vec; creator.reserve(per_mach.size()); for (auto& it : per_mach) creator.PB(&it.second); priority_queue<per_machine*, vector<per_machine*>, compare_machine> inactive(creator.begin(), creator.end()), active; creator.clear(); int prev_now = -1; while (!inactive.empty() || !active.empty()) { int next_inactive = int(1e9) + 1, next_active = int(1e9) + 1; if (!inactive.empty()) { per_machine* nxt = inactive.top(); next_inactive = nxt->next_event(); } if (!active.empty()) { per_machine* nxt = active.top(); next_active = nxt->next_event(); } if (next_inactive <= next_active) { per_machine* nxt = inactive.top(); inactive.pop(); int now = nxt->next_event(); assert(now >= prev_now); prev_now = now; assert(!nxt->requests.empty()); int moved = nxt->move_until_now(now); assert(moved > 0); active.push(nxt); active_vec.PB(nxt); } else { assert(!active.empty()); per_machine* nxt = active.top(); active.pop(); int now = nxt->next_event(); assert(now >= prev_now); prev_now = now; assert(now <= int(1e9)); int moved = nxt->move_until_now(now); active.push(nxt); if (moved > 0) continue; ++res; FORE(it, active_vec) { per_machine* nxt = *it; auto request = nxt->active.top(); int this_now = nxt->next_event(); nxt->active.pop(); assert(request.a <= now); assert(now <= request.b); alloted[request.id] = now; ++cnt; nxt->deadlines.pop(); if (nxt->active.empty()) { if (nxt->requests.empty()) continue; assert(this_now <= nxt->next_event()); inactive.push(nxt); } else { assert(this_now <= nxt->next_event()); creator.PB(nxt); } } active_vec = creator; active = priority_queue<per_machine*, vector<per_machine*>, compare_machine>(creator.begin(), creator.end()); creator.clear(); } } assert(cnt == n); } //struct compare_inactive { // bool operator()(const per_machine* mach1, const per_machine* mach2) const { // assert(mach1->next_pos < mach1->requests.size()); // assert(mach2->next_pos < mach2->requests.size()); // return mach1->requests[mach1->next_pos].a < mach2->requests[mach2->next_pos].a; // } //}; // //struct compare_active { // bool operator()(const per_machine* mach1, const per_machine* mach2) const { // assert(mach1->next_pos < mach1->deadline.size()); // assert(mach2->next_pos < mach2->deadline.size()); // return mach1->deadline[mach1->next_pos] < mach2->deadline[mach2->next_pos]; // } //}; //void run() { // multiset<per_machine*, compare_inactive> inactive; // for (auto& it : per_mach) // inactive.insert(&it.second); // multiset<per_machine*, compare_active> active; // while (!inactive.empty() || !active.empty()) { // int next_inactive = int(1e9) + 1, next_active = int(1e9) + 1; // if (!inactive.empty()) { // per_machine* nxt = *inactive.begin(); // next_inactive = nxt->requests[nxt->next_pos].a; // } // if (!active.empty()) { // per_machine* nxt = *active.begin(); // next_active = nxt->deadline[nxt->next_pos]; // } // //cout << "inactive = " << next_inactive << ", active = " << next_active << endl; // if (next_inactive <= next_active) { // per_machine* nxt = *inactive.begin(); // inactive.erase(inactive.begin()); // active.insert(nxt); // } // else { // per_machine* nxt = *active.begin(); // int deadline = nxt->deadline[nxt->next_pos]; // ++res; // multiset<per_machine*, compare_active> new_active; // FORE(it, active) { // per_machine* nxt = *it; // //cout << nxt->requests[nxt->next_pos] << " " << deadline << endl; // //cout << nxt->next_pos << " " << nxt->requests.size() << endl; // alloted[nxt->requests[nxt->next_pos].id] = deadline; // if (++nxt->next_pos == nxt->requests.size()) continue; // //cout << "hey" << endl; // if (nxt->requests[nxt->next_pos].a <= deadline) // new_active.insert(nxt); // else // inactive.insert(nxt); // } // swap(active, new_active); // } // } //} void read_input() { cin >> n; { int k; cin >> k; /* ignore k */ } REP(i, n) { IN(a); IN(b); IN(p); if (!per_mach.count(p)) per_mach[p] = per_machine(); per_mach[p].requests.PB(request(a, b, i)); } } int main() { ios_base::sync_with_stdio(0); cout.setf(ios::fixed); read_input(); for (auto& it: per_mach) process(it.first, it.second); run2(); cout << res << endl; REP(i, n) cout << alloted[i] << endl; return 0; } |