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//Jakub Staro� #include <iostream> #include <sstream> #include <string> #include <vector> #include <map> #include <set> #include <list> #include <deque> #include <queue> #include <stack> #include <algorithm> #include <cstdlib> #include <cmath> #include <ctime> #include <cstdio> #include <stdexcept> #ifdef COMPILING_HOME #define DEBUG_MODE #define HAVE_NEW_STANDARD #endif #ifdef HAVE_NEW_STANDARD #include <unordered_map> #include <unordered_set> #else #include <tr1/unordered_map> #include <tr1/unordered_set> using namespace std::tr1; #endif #define hash_map unordered_map #define hash_multimap unordered_multimap #define hash_set unordered_set #define hash_multiset unordered_multiset using namespace std; typedef char int8; typedef unsigned char uint8; typedef short int int16; typedef unsigned short int uint16; typedef int int32; typedef unsigned int uint32; typedef long long int64; typedef unsigned long long uint64; typedef std::pair<int32,int32> int32_pair; typedef std::pair<uint32, uint32> uint32_pair; typedef std::pair<int64,int64> int64_pair; typedef std::pair<uint64,uint64> uint64_pair; typedef std::vector<bool> bit_vector; #ifdef HAVE_NEW_STANDARD #define let(a,b) auto a = (b) #else #define let(a,b) __typeof (b) a = (b) #endif #ifdef DEBUG_MODE #define pause system("pause") #define clear_screen system("cls") #define print(x) cerr << #x << " = " << x << endl #define label_print(label, value) cerr << label << ' ' << value << endl #define debug(x) x #define line cerr << "Line " << __LINE__ << endl #include <cassert> #else #define pause #define clear_screen #define print(x) #define label_print(label, value) #define debug(x) #define assert(x) #define line #endif #define rep(i,x) for(uint32 i = 0 ; i < (x) ; i++) #define for_range(i,begin,end) for( let(i, (begin) ) ; i != (end) ; ++i ) #define foreach(i, c) for_range(i, c.begin(), c.end()) #define abs(a) ( (a) < 0 ? -(a) : (a) ) #define all(c) (c).begin(),(c).end() #define sort_all(x) sort( all(x) ) #define divide(a,b) ( ( (b)%(a) ) == 0 ) #define mp(x,y) make_pair(x,y) #define pb(x) push_back(x) #define min(a,b) ( (a) < (b)? (a) : (b) ) #define max(a,b) ( (a) > (b)? (a) : (b) ) #define min3(a,b,c) ( min((a), min((b),(c))) ) #define max3(a,b,c) ( max((a), max((b),(c))) ) #define sig(x) ( (x) == 0 ? 0 : ( (x) < 0 ? -1 : 1 ) ) const double epsilon = 1e-5; template<class T> void unique(std::vector<T>& v) { sort_all(v); v.resize( std::unique(all(v)) - v.begin() ); } ostream& newline(ostream& str) { str.put('\n'); return str; } template<typename T1, typename T2> istream& operator>>(istream& stream, std::pair<T1, T2>& pair) { stream >> pair.first >> pair.second; return stream; } template<typename T1, typename T2> ostream& operator<<(ostream& stream, const std::pair<T1, T2>& pair) { #ifdef DEBUG_MODE stream << "(" << pair.first << ", " << pair.second << ")"; #else stream << pair.first << ' ' << pair.second; #endif return stream; } template<class _T> class StaticBinaryTree { public: typedef _T node_type; typedef StaticBinaryTree<node_type> basic_type; typedef uint32 index_type; uint32 real_size() { return data_size*2; } uint32 size() { return data_size; } protected: StaticBinaryTree(uint32 n) { uint32 PowerOfTwo = 8; while( PowerOfTwo < n) PowerOfTwo <<= 1; data_size = PowerOfTwo; tree.resize(data_size * 2); } #ifdef USE_BIT_OPERATIONS bool is_left_son(index_type k) { return !(k & 1); } bool is_right_son(index_type k) { return (k & 1); } index_type left_sibling(index_type k) { return ( k & (~1) ); } index_type right_sibling(index_type k) { return (k | 1); } index_type parent(index_type i) { return i>>1; } index_type left_son(index_type i) { return i<<1; } index_type right_son(index_type i) { return ( (i<<1) | 1 ); } #else bool is_left_son(index_type k) { return (k % 2 == 0); } bool is_right_son(index_type k) { return (k % 2 == 1); } index_type left_sibling(index_type k) { return (k - k%2); } index_type right_sibling(index_type k) { return (k - k%2 + 1); } index_type parent(index_type i) { return i/2; } index_type left_son(index_type i) { return i*2; } index_type right_son(index_type i) { return i*2 + 1; } #endif index_type index_of_node(uint32 k) { return k + data_size; } index_type root() { return 1; } bool is_leaf(index_type n) { return ( n >= data_size && n < data_size*2 ); } void assert_range(uint32 first, uint32 last) { if(first > last) throw std::logic_error("StaticBinaryTree: first > last!"); else if(last >= size()) throw std::logic_error("StaticBinaryTree: last >= size()!"); } void assert_index(uint32 index) { if(index >= size()) throw std::logic_error("StaticBinaryTree: index >= size()"); } vector<node_type> tree; private: uint32 data_size; }; class PointIntervalTree: public StaticBinaryTree<int64> { public: typedef int64 integer_type; PointIntervalTree(uint32 n): basic_type(n) {} void set(uint32 index, integer_type value) { index = index_of_node(index); tree[index] = value; while(index != root()) { index = parent(index); tree[index] = max(tree[ left_son(index) ], tree[ right_son(index) ]); } } integer_type query(uint32 first, uint32 last) { first = index_of_node(first); last = index_of_node(last); integer_type result = tree[first]; if(first != last) result = max(result, tree[last]); while( parent(first) != parent(last) ) { if( is_left_son(first) ) { result = max(result, tree[ right_sibling(first) ]); } if( is_right_son(last) ) { result = max(result, tree[ left_sibling(last) ]); } first = parent(first); last = parent(last); } return result; } }; struct data_type { int64 szerokosc; int64 poczatek; uint32 numer; }; const int64 infinity = 1000000000000000000LL; class Application { public: Application() { } ~Application() { delete tree; } void Run() { WczytajDane(); Normalize(); vector<data_type> start_data, stop_data; rep(i, N) { auto& pair = start[i]; int64 szerokosc = pair.second.second - pair.first.second; start_data.pb( data_type({szerokosc, pair.first.first, i}) ); } rep(i, N) { auto& pair = stop[i]; int64 szerokosc = pair.second.second - pair.first.second; stop_data.pb( data_type({szerokosc, pair.first.first, i}) ); } sort( all(start_data), [](const data_type& a, const data_type& b)->bool { return a.poczatek < b.poczatek; } ); sort( all(stop_data), [](const data_type& a, const data_type& b)->bool { return a.poczatek < b.poczatek; } ); vector<uint32> pozycje_start(N); rep(i, N) pozycje_start[ start_data[i].numer ] = i; rep(i, N) { tree->set(i, start_data[i].szerokosc); //print(start_data[i].szerokosc); } rep(i, N) { uint32 index = pozycje_start[ stop_data[i].numer ]; //assert(start_data[index].szerokosc == stop_data[i].szerokosc); //assert(start_data[index].numer == stop_data[i].numer); int64 maximum; if(index > 0) maximum = tree->query(0, index - 1); else maximum = -infinity; //print(maximum); if(maximum + stop_data[i].szerokosc <= W) { tree->set(index, -infinity); } else { /*print(maximum); print(W); print(stop_data[i].szerokosc); print(index); print(i);*/ cout << "NIE" << newline; return; } } cout << "TAK" << newline; } void Normalize() { for(auto& pair : start) { std::pair<int64_pair, int64_pair> copy = pair; pair.first.first = min(copy.first.first, copy.second.first); pair.first.second = min(copy.first.second, copy.second.second); pair.second.first = max(copy.first.first, copy.second.first); pair.second.second = max(copy.first.second, copy.second.second); } for(auto& pair : stop) { std::pair<int64_pair, int64_pair> copy = pair; pair.first.first = min(copy.first.first, copy.second.first); pair.first.second = min(copy.first.second, copy.second.second); pair.second.first = max(copy.first.first, copy.second.first); pair.second.second = max(copy.first.second, copy.second.second); } } void WczytajDane() { cin >> N >> W; tree = new PointIntervalTree(N); start.resize(N); stop.resize(N); rep(i, N) cin >> start[i]; rep(i, N) cin >> stop[i]; } uint32 N; int64 W; PointIntervalTree* tree; vector<pair<int64_pair, int64_pair> > start, stop; }; int main() { ios::sync_with_stdio(0); uint32 T; cin >> T; rep(i, T) { Application application; application.Run(); } 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 | //Jakub Staro� #include <iostream> #include <sstream> #include <string> #include <vector> #include <map> #include <set> #include <list> #include <deque> #include <queue> #include <stack> #include <algorithm> #include <cstdlib> #include <cmath> #include <ctime> #include <cstdio> #include <stdexcept> #ifdef COMPILING_HOME #define DEBUG_MODE #define HAVE_NEW_STANDARD #endif #ifdef HAVE_NEW_STANDARD #include <unordered_map> #include <unordered_set> #else #include <tr1/unordered_map> #include <tr1/unordered_set> using namespace std::tr1; #endif #define hash_map unordered_map #define hash_multimap unordered_multimap #define hash_set unordered_set #define hash_multiset unordered_multiset using namespace std; typedef char int8; typedef unsigned char uint8; typedef short int int16; typedef unsigned short int uint16; typedef int int32; typedef unsigned int uint32; typedef long long int64; typedef unsigned long long uint64; typedef std::pair<int32,int32> int32_pair; typedef std::pair<uint32, uint32> uint32_pair; typedef std::pair<int64,int64> int64_pair; typedef std::pair<uint64,uint64> uint64_pair; typedef std::vector<bool> bit_vector; #ifdef HAVE_NEW_STANDARD #define let(a,b) auto a = (b) #else #define let(a,b) __typeof (b) a = (b) #endif #ifdef DEBUG_MODE #define pause system("pause") #define clear_screen system("cls") #define print(x) cerr << #x << " = " << x << endl #define label_print(label, value) cerr << label << ' ' << value << endl #define debug(x) x #define line cerr << "Line " << __LINE__ << endl #include <cassert> #else #define pause #define clear_screen #define print(x) #define label_print(label, value) #define debug(x) #define assert(x) #define line #endif #define rep(i,x) for(uint32 i = 0 ; i < (x) ; i++) #define for_range(i,begin,end) for( let(i, (begin) ) ; i != (end) ; ++i ) #define foreach(i, c) for_range(i, c.begin(), c.end()) #define abs(a) ( (a) < 0 ? -(a) : (a) ) #define all(c) (c).begin(),(c).end() #define sort_all(x) sort( all(x) ) #define divide(a,b) ( ( (b)%(a) ) == 0 ) #define mp(x,y) make_pair(x,y) #define pb(x) push_back(x) #define min(a,b) ( (a) < (b)? (a) : (b) ) #define max(a,b) ( (a) > (b)? (a) : (b) ) #define min3(a,b,c) ( min((a), min((b),(c))) ) #define max3(a,b,c) ( max((a), max((b),(c))) ) #define sig(x) ( (x) == 0 ? 0 : ( (x) < 0 ? -1 : 1 ) ) const double epsilon = 1e-5; template<class T> void unique(std::vector<T>& v) { sort_all(v); v.resize( std::unique(all(v)) - v.begin() ); } ostream& newline(ostream& str) { str.put('\n'); return str; } template<typename T1, typename T2> istream& operator>>(istream& stream, std::pair<T1, T2>& pair) { stream >> pair.first >> pair.second; return stream; } template<typename T1, typename T2> ostream& operator<<(ostream& stream, const std::pair<T1, T2>& pair) { #ifdef DEBUG_MODE stream << "(" << pair.first << ", " << pair.second << ")"; #else stream << pair.first << ' ' << pair.second; #endif return stream; } template<class _T> class StaticBinaryTree { public: typedef _T node_type; typedef StaticBinaryTree<node_type> basic_type; typedef uint32 index_type; uint32 real_size() { return data_size*2; } uint32 size() { return data_size; } protected: StaticBinaryTree(uint32 n) { uint32 PowerOfTwo = 8; while( PowerOfTwo < n) PowerOfTwo <<= 1; data_size = PowerOfTwo; tree.resize(data_size * 2); } #ifdef USE_BIT_OPERATIONS bool is_left_son(index_type k) { return !(k & 1); } bool is_right_son(index_type k) { return (k & 1); } index_type left_sibling(index_type k) { return ( k & (~1) ); } index_type right_sibling(index_type k) { return (k | 1); } index_type parent(index_type i) { return i>>1; } index_type left_son(index_type i) { return i<<1; } index_type right_son(index_type i) { return ( (i<<1) | 1 ); } #else bool is_left_son(index_type k) { return (k % 2 == 0); } bool is_right_son(index_type k) { return (k % 2 == 1); } index_type left_sibling(index_type k) { return (k - k%2); } index_type right_sibling(index_type k) { return (k - k%2 + 1); } index_type parent(index_type i) { return i/2; } index_type left_son(index_type i) { return i*2; } index_type right_son(index_type i) { return i*2 + 1; } #endif index_type index_of_node(uint32 k) { return k + data_size; } index_type root() { return 1; } bool is_leaf(index_type n) { return ( n >= data_size && n < data_size*2 ); } void assert_range(uint32 first, uint32 last) { if(first > last) throw std::logic_error("StaticBinaryTree: first > last!"); else if(last >= size()) throw std::logic_error("StaticBinaryTree: last >= size()!"); } void assert_index(uint32 index) { if(index >= size()) throw std::logic_error("StaticBinaryTree: index >= size()"); } vector<node_type> tree; private: uint32 data_size; }; class PointIntervalTree: public StaticBinaryTree<int64> { public: typedef int64 integer_type; PointIntervalTree(uint32 n): basic_type(n) {} void set(uint32 index, integer_type value) { index = index_of_node(index); tree[index] = value; while(index != root()) { index = parent(index); tree[index] = max(tree[ left_son(index) ], tree[ right_son(index) ]); } } integer_type query(uint32 first, uint32 last) { first = index_of_node(first); last = index_of_node(last); integer_type result = tree[first]; if(first != last) result = max(result, tree[last]); while( parent(first) != parent(last) ) { if( is_left_son(first) ) { result = max(result, tree[ right_sibling(first) ]); } if( is_right_son(last) ) { result = max(result, tree[ left_sibling(last) ]); } first = parent(first); last = parent(last); } return result; } }; struct data_type { int64 szerokosc; int64 poczatek; uint32 numer; }; const int64 infinity = 1000000000000000000LL; class Application { public: Application() { } ~Application() { delete tree; } void Run() { WczytajDane(); Normalize(); vector<data_type> start_data, stop_data; rep(i, N) { auto& pair = start[i]; int64 szerokosc = pair.second.second - pair.first.second; start_data.pb( data_type({szerokosc, pair.first.first, i}) ); } rep(i, N) { auto& pair = stop[i]; int64 szerokosc = pair.second.second - pair.first.second; stop_data.pb( data_type({szerokosc, pair.first.first, i}) ); } sort( all(start_data), [](const data_type& a, const data_type& b)->bool { return a.poczatek < b.poczatek; } ); sort( all(stop_data), [](const data_type& a, const data_type& b)->bool { return a.poczatek < b.poczatek; } ); vector<uint32> pozycje_start(N); rep(i, N) pozycje_start[ start_data[i].numer ] = i; rep(i, N) { tree->set(i, start_data[i].szerokosc); //print(start_data[i].szerokosc); } rep(i, N) { uint32 index = pozycje_start[ stop_data[i].numer ]; //assert(start_data[index].szerokosc == stop_data[i].szerokosc); //assert(start_data[index].numer == stop_data[i].numer); int64 maximum; if(index > 0) maximum = tree->query(0, index - 1); else maximum = -infinity; //print(maximum); if(maximum + stop_data[i].szerokosc <= W) { tree->set(index, -infinity); } else { /*print(maximum); print(W); print(stop_data[i].szerokosc); print(index); print(i);*/ cout << "NIE" << newline; return; } } cout << "TAK" << newline; } void Normalize() { for(auto& pair : start) { std::pair<int64_pair, int64_pair> copy = pair; pair.first.first = min(copy.first.first, copy.second.first); pair.first.second = min(copy.first.second, copy.second.second); pair.second.first = max(copy.first.first, copy.second.first); pair.second.second = max(copy.first.second, copy.second.second); } for(auto& pair : stop) { std::pair<int64_pair, int64_pair> copy = pair; pair.first.first = min(copy.first.first, copy.second.first); pair.first.second = min(copy.first.second, copy.second.second); pair.second.first = max(copy.first.first, copy.second.first); pair.second.second = max(copy.first.second, copy.second.second); } } void WczytajDane() { cin >> N >> W; tree = new PointIntervalTree(N); start.resize(N); stop.resize(N); rep(i, N) cin >> start[i]; rep(i, N) cin >> stop[i]; } uint32 N; int64 W; PointIntervalTree* tree; vector<pair<int64_pair, int64_pair> > start, stop; }; int main() { ios::sync_with_stdio(0); uint32 T; cin >> T; rep(i, T) { Application application; application.Run(); } return 0; } |