The 20th Zhejiang Provincial Collegiate Programming Contest Sponsored by TuSimple
题解:
https://files.cnblogs.com/files/clrs97/2023_ZJCPC_Tutorial.pdf
Code:
A. Look and Say
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 | #include<bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio( false ); int n; cin>>n; string s; cin>>s; char pre= ' ' ; int cnt=0; for ( auto ch:s) { if (ch==pre)cnt++; else { if (cnt)cout<<cnt<<pre; pre=ch;cnt=1; } } cout<<cnt<<pre; return 0; } |
B. Master of Polygon
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 | #include<cstdio> #include<algorithm> using namespace std; typedef long long ll; const int N=200005,M=200005,K=17,inf=~0U>>1; int n,m,cq,i,xl,xr; bool ans[M]; int idseg[K][N],idque[K][M]; struct P{ int x,y; P(){} P( int _x, int _y){x=_x,y=_y;} P operator-( const P&b) const { return P(x-b.x,y-b.y);} P operator+( const P&b) const { return P(x+b.x,y+b.y);} ll operator*( const P&b) const { return 1LL*x*b.x+1LL*y*b.y;} bool operator==( const P&b) const { return x==b.x&&y==b.y;} void read(){ scanf ( "%d%d" ,&x,&y);} }a[N]; struct Line{ P a,b; int xl,xr; int sx,sy,dx,dy; ll base; void fix(){ if (a.x>b.x)swap(a,b); xl=a.x,xr=b.x; sx=a.x,sy=a.y,dx=b.x-a.x,dy=b.y-a.y; base=1LL*sy*dx-1LL*sx*dy; } }seg[N],que[M]; struct Frac{ ll u,d; Frac(){} Frac(ll _u,ll _d){ u=_u,d=_d; if (d<0)u*=-1,d*=-1; } bool operator<( const Frac&b) const { return u*b.d<b.u*d;} bool operator>( const Frac&b) const { return u*b.d>b.u*d;} bool operator<=( const Frac&b) const { return u*b.d<=b.u*d;} bool operator>=( const Frac&b) const { return u*b.d>=b.u*d;} }slo[M]; inline int sgn(ll x){ if (x>0) return 1; return x?-1:0; } inline ll cross( const P&a, const P&b){ return 1LL*a.x*b.y-1LL*a.y*b.x;} inline void umin( int &a, int b){a>b?(a=b):0;} inline void umax( int &a, int b){a<b?(a=b):0;} inline Frac gety( const Line&a, int x){ if (a.dx==0) return Frac(a.sy,1); return Frac(a.base+1LL*x*a.dy,a.dx); } inline bool point_on_segment( const P&p, const P&a, const P&b){ return cross(b-a,p-a)==0&&(p-a)*(p-b)<=0; } inline bool has_intersection( const Line&A, const Line&B){ if (!A.dx&&!A.dy) return point_on_segment(A.a,B.a,B.b); const P&a=A.a; const P&b=A.b; const P&p=B.a; const P&q=B.b; int d1=sgn(cross(b-a,p-a)),d2=sgn(cross(b-a,q-a)); int d3=sgn(cross(q-p,a-p)),d4=sgn(cross(q-p,b-p)); if (d1*d2<0&&d3*d4<0) return 1; if ((d1==0&&point_on_segment(p,a,b))|| (d2==0&&point_on_segment(q,a,b))|| (d3==0&&point_on_segment(a,p,q))|| (d4==0&&point_on_segment(b,p,q))) return 1; return 0; } namespace CaseWholeSeg{ int cnt,q[N]; inline void init(){cnt=0;} inline void add( int x){q[++cnt]=x;} inline bool cmpseg( int A, int B){ const Line&p=seg[A]; const Line&q=seg[B]; int x=p.a==q.a?min(p.xr,q.xr):max(p.xl,q.xl); return gety(p,x)<gety(q,x); } inline void work(){sort(q+1,q+cnt+1,cmpseg);} inline bool ask( const Line&p){ int l=1,r=cnt,mid; while (l<=r){ mid=(l+r)>>1; const Line&o=seg[q[mid]]; if (has_intersection(p,o)) return 1; int x=max(p.xl,o.xl); if (gety(p,x)<gety(o,x))r=mid-1; else l=mid+1; } return 0; } } namespace CaseWholeQue{ int xl,xr; int cs,idseg[N]; int cq,idque[M]; Frac yl[M],yr[M]; int cnt,cp,cl,cr,idl[N],idr[N]; P pool[N*2]; int ccur,chull; struct Component{ int st,en; bool isl,isr; Frac lmi,lma,rmi,rma; void upl( const Frac&b){ if (!isl){ isl=1; lmi=lma=b; return ; } if (lmi>b)lmi=b; if (lma<b)lma=b; } void upr( const Frac&b){ if (!isr){ isr=1; rmi=rma=b; return ; } if (rmi>b)rmi=b; if (rma<b)rma=b; } }com[N]; struct Point{ int x;Frac y; Point(){} Point( const P&b){x=b.x,y=Frac(b.y,1);} Point( int _x, const Frac&_y){x=_x,y=_y;} }cur[N*2],hull[N*2]; inline bool cmpx( const P&a, const P&b){ return a.x<b.x;} inline void init( int _xl, int _xr){xl=_xl,xr=_xr;cs=cq=0;} inline void addseg( int x){idseg[++cs]=x;} inline void addque( int x){ idque[++cq]=x; yl[x]=gety(que[x],xl); yr[x]=gety(que[x],xr); } inline Frac slope( const Point&a, const Point&b){ //a.x<b.x return Frac(b.y.u*a.y.d-a.y.u*b.y.d,(b.x-a.x)*a.y.d*b.y.d); } namespace CaseLeft{ inline bool cmpyl( int x, int y){ return yl[x]<yl[y];} inline bool cmplma( int x, int y){ return com[x].lma<com[y].lma;} inline bool cmplmi( int x, int y){ return com[x].lmi>com[y].lmi;} inline void ext_down( int &n,Point*q, const Point&p){ if (n&&q[n].x==p.x){ if (q[n].y>=p.y) return ; n--; } while (n>1&&slope(p,q[n])<=slope(q[n],q[n-1]))n--; q[++n]=p; } inline bool notin_down( const Point&p){ if (chull<=1) return 1; if (p.x>hull[1].x) return 1; int l=2,r=chull-1,t=1; while (l<=r){ int mid=(l+r)>>1; if (p.x==hull[mid].x) return p.y>=hull[mid].y; if (p.x>hull[mid].x)r=mid-1; else l=(t=mid)+1; } return slope(hull[t+1],p)>=slope(p,hull[t]); } inline void ext_up( int &n,Point*q, const Point&p){ if (n&&q[n].x==p.x){ if (q[n].y<=p.y) return ; n--; } while (n>1&&slope(p,q[n])>=slope(q[n],q[n-1]))n--; q[++n]=p; } inline bool notin_up( const Point&p){ if (chull<=1) return 1; if (p.x>hull[1].x) return 1; int l=2,r=chull-1,t=1; while (l<=r){ int mid=(l+r)>>1; if (p.x==hull[mid].x) return p.y<=hull[mid].y; if (p.x>hull[mid].x)r=mid-1; else l=(t=mid)+1; } return slope(hull[t+1],p)<=slope(p,hull[t]); } inline void solve(){ if (!cl) return ; int i,j,k,A,B; sort(idque+1,idque+cq+1,cmpyl); sort(idl+1,idl+cl+1,cmplma); //left Frac minl; for (i=cq,j=cl;i;i--){ A=idque[i]; if (ans[A]) continue ; while (j){ B=idl[j]; if (com[B].lma<yl[A]) break ; if (j==cl)minl=com[B].lmi; else if (minl>com[B].lmi)minl=com[B].lmi; j--; } if (j<cl&&minl<=yl[A])ans[A]=1; } //down chull=0; for (i=j=1;i<=cq;i++){ A=idque[i]; if (ans[A]) continue ; while (j<=cl){ B=idl[j]; if (com[B].lma>=yl[A]) break ; ccur=0; if (com[B].isr)ext_down(ccur,cur,Point(xr,com[B].rma)); for (k=com[B].en;k>=com[B].st;k--)ext_down(ccur,cur,pool[k]); ext_down(ccur,cur,Point(xl,com[B].lma)); if (com[B].isr){ chull=ccur; for (k=1;k<=ccur;k++)hull[k]=cur[k]; } else { k=ccur; while (k>1&¬in_down(cur[k-1]))k--; while (chull&&hull[chull].x<=cur[k].x)chull--; for (;k<=ccur;k++)ext_down(chull,hull,cur[k]); } j++; } if (chull<=1) continue ; int l=1,r=chull-1; if (hull[1].x==xr){ if (hull[1].y>=yr[A]){ ans[A]=1; continue ; } if (chull==2) continue ; l++; } int t=r--; const Frac&v=slo[A]; //min slope(hull[t+1],hull[t]) >= v while (l<=r){ int mid=(l+r)>>1; if (slope(hull[mid+1],hull[mid])>=v)r=(t=mid)-1; else l=mid+1; } if (slope(que[A].a,hull[t])>=slope(hull[t],que[A].b))ans[A]=1; } //up sort(idl+1,idl+cl+1,cmplmi); chull=0; for (i=cq,j=1;i;i--){ A=idque[i]; if (ans[A]) continue ; while (j<=cl){ B=idl[j]; if (com[B].lmi<=yl[A]) break ; ccur=0; if (com[B].isr)ext_up(ccur,cur,Point(xr,com[B].rmi)); for (k=com[B].en;k>=com[B].st;k--)ext_up(ccur,cur,pool[k]); ext_up(ccur,cur,Point(xl,com[B].lmi)); if (com[B].isr){ chull=ccur; for (k=1;k<=ccur;k++)hull[k]=cur[k]; } else { k=ccur; while (k>1&¬in_up(cur[k-1]))k--; while (chull&&hull[chull].x<=cur[k].x)chull--; for (;k<=ccur;k++)ext_up(chull,hull,cur[k]); } j++; } if (chull<=1) continue ; int l=1,r=chull-1; if (hull[1].x==xr){ if (hull[1].y<=yr[A]){ ans[A]=1; continue ; } if (chull==2) continue ; l++; } int t=r--; const Frac&v=slo[A]; while (l<=r){ int mid=(l+r)>>1; if (slope(hull[mid+1],hull[mid])<=v)r=(t=mid)-1; else l=mid+1; } if (slope(que[A].a,hull[t])<=slope(hull[t],que[A].b))ans[A]=1; } } } namespace CaseRight{ inline bool cmpyr( int x, int y){ return yr[x]<yr[y];} inline bool cmprma( int x, int y){ return com[x].rma<com[y].rma;} inline bool cmprmi( int x, int y){ return com[x].rmi>com[y].rmi;} inline void ext_down( int &n,Point*q, const Point&p){ if (n&&q[n].x==p.x){ if (q[n].y>=p.y) return ; n--; } while (n>1&&slope(q[n],p)>=slope(q[n-1],q[n]))n--; q[++n]=p; } inline bool notin_down( const Point&p){ if (chull<=1) return 1; if (p.x<hull[1].x) return 1; int l=2,r=chull-1,t=1; while (l<=r){ int mid=(l+r)>>1; if (p.x==hull[mid].x) return p.y>=hull[mid].y; if (p.x<hull[mid].x)r=mid-1; else l=(t=mid)+1; } return slope(hull[t],p)>=slope(p,hull[t+1]); } inline void ext_up( int &n,Point*q, const Point&p){ if (n&&q[n].x==p.x){ if (q[n].y<=p.y) return ; n--; } while (n>1&&slope(q[n],p)<=slope(q[n-1],q[n]))n--; q[++n]=p; } inline bool notin_up( const Point&p){ if (chull<=1) return 1; if (p.x<hull[1].x) return 1; int l=2,r=chull-1,t=1; while (l<=r){ int mid=(l+r)>>1; if (p.x==hull[mid].x) return p.y<=hull[mid].y; if (p.x<hull[mid].x)r=mid-1; else l=(t=mid)+1; } return slope(hull[t],p)<=slope(p,hull[t+1]); } inline void solve(){ if (!cr) return ; int i,j,k,A,B; sort(idque+1,idque+cq+1,cmpyr); sort(idr+1,idr+cr+1,cmprma); //right Frac minl; for (i=cq,j=cr;i;i--){ A=idque[i]; if (ans[A]) continue ; while (j){ B=idr[j]; if (com[B].rma<yr[A]) break ; if (j==cr)minl=com[B].rmi; else if (minl>com[B].rmi)minl=com[B].rmi; j--; } if (j<cr&&minl<=yr[A])ans[A]=1; } //down chull=0; for (i=j=1;i<=cq;i++){ A=idque[i]; if (ans[A]) continue ; while (j<=cr){ B=idr[j]; if (com[B].rma>=yr[A]) break ; ccur=0; if (com[B].isl)ext_down(ccur,cur,Point(xl,com[B].lma)); for (k=com[B].st;k<=com[B].en;k++)ext_down(ccur,cur,pool[k]); ext_down(ccur,cur,Point(xr,com[B].rma)); if (com[B].isl){ chull=ccur; for (k=1;k<=ccur;k++)hull[k]=cur[k]; } else { k=ccur; while (k>1&¬in_down(cur[k-1]))k--; while (chull&&hull[chull].x>=cur[k].x)chull--; for (;k<=ccur;k++)ext_down(chull,hull,cur[k]); } j++; } if (chull<=1) continue ; int l=1,r=chull-1; if (hull[1].x==xl){ if (hull[1].y>=yl[A]){ ans[A]=1; continue ; } if (chull==2) continue ; l++; } int t=r--; const Frac&v=slo[A]; //min slope(hull[t],hull[t+1]) <= v while (l<=r){ int mid=(l+r)>>1; if (slope(hull[mid],hull[mid+1])<=v)r=(t=mid)-1; else l=mid+1; } if (slope(que[A].a,hull[t])>=slope(hull[t],que[A].b))ans[A]=1; } //up sort(idr+1,idr+cr+1,cmprmi); chull=0; for (i=cq,j=1;i;i--){ A=idque[i]; if (ans[A]) continue ; while (j<=cr){ B=idr[j]; if (com[B].rmi<=yr[A]) break ; ccur=0; if (com[B].isl)ext_up(ccur,cur,Point(xl,com[B].lmi)); for (k=com[B].st;k<=com[B].en;k++)ext_up(ccur,cur,pool[k]); ext_up(ccur,cur,Point(xr,com[B].rmi)); if (com[B].isl){ chull=ccur; for (k=1;k<=ccur;k++)hull[k]=cur[k]; } else { k=ccur; while (k>1&¬in_up(cur[k-1]))k--; while (chull&&hull[chull].x>=cur[k].x)chull--; for (;k<=ccur;k++)ext_up(chull,hull,cur[k]); } j++; } if (chull<=1) continue ; int l=1,r=chull-1; if (hull[1].x==xl){ if (hull[1].y<=yl[A]){ ans[A]=1; continue ; } if (chull==2) continue ; l++; } int t=r--; const Frac&v=slo[A]; //min slope(hull[t],hull[t+1]) >= v while (l<=r){ int mid=(l+r)>>1; if (slope(hull[mid],hull[mid+1])>=v)r=(t=mid)-1; else l=mid+1; } if (slope(que[A].a,hull[t])<=slope(hull[t],que[A].b))ans[A]=1; } } } inline void work(){ if (!cs||!cq) return ; int i,j,k,x; static int q[N]; static bool vis[N],is[N]; for (i=1;i<=cs;i++){ x=idseg[i]; is[x]=1; vis[x]=0; } cnt=cp=cl=cr=0; for (i=1;i<=cs;i++){ x=idseg[i]; if (vis[x]) continue ; cnt++; com[cnt].st=cp+1; com[cnt].isl=com[cnt].isr=0; vis[x]=1; int head=1,tail=1; q[1]=x; while (head<=tail){ x=q[head++]; const Line&p=seg[x]; if (p.xl>xl&&p.xr<xr){ pool[++cp]=p.a; pool[++cp]=p.b; } else if (p.xr<xr){ if (p.xl==p.xr){ com[cnt].upl(Frac(p.a.y,1)); com[cnt].upl(Frac(p.b.y,1)); } else { pool[++cp]=p.b; com[cnt].upl(gety(p,xl)); } } else { if (p.xl==p.xr){ com[cnt].upr(Frac(p.a.y,1)); com[cnt].upr(Frac(p.b.y,1)); } else { pool[++cp]=p.a; com[cnt].upr(gety(p,xr)); } } for (j=x-1;j<=x+1;j+=2){ k=j; if (k<0)k+=n; if (k>=n)k-=n; if (!is[k]||vis[k]) continue ; const P&v=j<x?a[x]:a[x+1]; if (v.x<xl||v.x>xr) continue ; vis[k]=1; q[++tail]=k; } } com[cnt].en=cp; if (com[cnt].isl)idl[++cl]=cnt; if (com[cnt].isr)idr[++cr]=cnt; sort(pool+com[cnt].st,pool+cp+1,cmpx); } for (i=1;i<=cs;i++)is[idseg[i]]=0; CaseLeft::solve(); CaseRight::solve(); } } void solve( int o, int l, int r, int cs, int cq){ if (l>=r||!cs||!cq) return ; //Case 1: whole seg CaseWholeSeg::init(); CaseWholeQue::init(l,r); for ( int i=0;i<cs;i++){ int id=idseg[o][i]; int a=seg[id].xl,b=seg[id].xr; if (a<=l&&b>=r)CaseWholeSeg::add(id); else CaseWholeQue::addseg(id); } CaseWholeSeg::work(); for ( int i=0;i<cq;i++){ int id=idque[o][i]; int a=que[id].xl,b=que[id].xr; if (CaseWholeSeg::ask(que[id]))ans[id]=1; else if (a<=l&&b>=r)CaseWholeQue::addque(id); } //Case 2: whole query, partial seg CaseWholeQue::work(); if (l+1==r) return ; int mid=(l+r)>>1; for ( int _=0;_<2;_++){ int _l,_r,_cs=0,_cq=0; if (_==0)_l=l,_r=mid; else _l=mid,_r=r; for ( int i=0;i<cs;i++){ int id=idseg[o][i]; int a=seg[id].xl,b=seg[id].xr; if (a<=l&&b>=r) continue ; if (a>_r||b<_l) continue ; idseg[o+1][_cs++]=id; } for ( int i=0;i<cq;i++){ int id=idque[o][i]; if (ans[id]) continue ; int a=que[id].xl,b=que[id].xr; if (a<=l&&b>=r) continue ; if (a>_r||b<_l) continue ; idque[o+1][_cq++]=id; } solve(o+1,_l,_r,_cs,_cq); } } namespace CaseBothSameX{ int i,l,r,x,ce; struct E{ int x,y,v,p; E(){} E( int _x, int _y, int _v, int _p){x=_x,y=_y,v=_v,p=_p;} }e[N+M]; inline bool cmpe( const E&a, const E&b){ if (a.x!=b.x) return a.x<b.x; if (a.y!=b.y) return a.y<b.y; return a.p<b.p; } void solve(){ for (i=0;i<cq;i++){ x=idque[0][i]; if (ans[x]) continue ; if (que[x].xl!=que[x].xr) continue ; l=que[x].a.y,r=que[x].b.y; if (l>r)swap(l,r); e[ce++]=E(que[x].xl,r,l,x); } for (i=0;i<n;i++) if (a[i].x==a[i+1].x){ l=a[i].y,r=a[i+1].y; if (l>r)swap(l,r); e[ce++]=E(a[i].x,l,r,-1); } sort(e,e+ce,cmpe); for (i=0;i<ce;i++){ if (i==0||e[i].x!=e[i-1].x)r=-inf; if (e[i].p<0)umax(r,e[i].v); else if (r>=e[i].v)ans[e[i].p]=1; } } } int main(){ scanf ( "%d%d" ,&n,&m); xl=inf,xr=-inf; for (i=0;i<n;i++){ a[i].read(); umin(xl,a[i].x); umax(xr,a[i].x); } a[n]=a[0]; for (i=0;i<n;i++){ seg[i].a=a[i]; seg[i].b=a[i+1]; seg[i].fix(); idseg[0][i]=i; } for (i=0;i<m;i++){ que[i].a.read(); que[i].b.read(); que[i].fix(); umax(que[i].xl,xl); umin(que[i].xr,xr); if (que[i].xl>que[i].xr) continue ; if (que[i].xl==que[i].xr&&que[i].a.x!=que[i].b.x){ if (que[i].xl==xl)que[i].a=que[i].b; else que[i].b=que[i].a; que[i].fix(); } idque[0][cq++]=i; if (que[i].xl<que[i].xr)slo[i]=Frac(que[i].b.y-que[i].a.y,que[i].b.x-que[i].a.x); } solve(0,xl,xr,n,cq); CaseBothSameX::solve(); for (i=0;i<m;i++) puts (ans[i]? "YES" : "NO" ); } |
C. Shuttle Tour
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 | #include<cstdio> typedef long long ll; const int N=200005,K=55; char on[N]; int n,m,i,op,x,y,z,g[N],v[N<<1],w[N<<1],nxt[N<<1],ed,seg[N]; int at[N],pool[N],pos[N],cp; int cnt,pre[K],len[K],cross[K],start[K]; ll sum[N]; inline void umin( int &a, int b){a>b?(a=b):0;} inline void umax( int &a, int b){a<b?(a=b):0;} struct E{ int l[K],r[K]; bool have; void clr(){ for ( int i=1;i<=cnt;i++){ l[i]=N; r[i]=0; } have=0; } void init( int x, int o){ clr(); if (o){ l[at[x]]=r[at[x]]=pos[x]; have=1; } } void operator+=( const E&o){ for ( int i=1;i<=cnt;i++){ umin(l[i],o.l[i]); umax(r[i],o.r[i]); } have|=o.have; } ll cal(){ if (!have) return -1; static int sub[K]; int i,j,k; ll ret=0; for (i=1;i<=cnt;i++){ sub[i]=l[i]<=r[i]; } for (i=cnt;i;i--)sub[pre[i]]+=sub[i]; for (i=cnt;i;i--){ j=pre[i],k=cross[i]; if (sub[i]&&sub[i]<sub[1]){ umin(l[j],k); umax(r[j],k); ret+=len[i]; umin(l[i],start[i]); umax(r[i],start[i]); } if (l[i]<r[i])ret+=sum[pool[r[i]]]-sum[pool[l[i]]]; } return ret*2; } }val[524305],ans; inline void add( int x, int y, int z){v[++ed]=y;w[ed]=z;nxt[ed]=g[x];g[x]=ed;} void dfs( int x, int y, int z){ pool[++cp]=x; pos[x]=cp; at[x]=z; bool first=1; for ( int i=g[x];i;i=nxt[i]){ int u=v[i]; if (u==y) continue ; sum[u]=sum[x]+w[i]; if (first){ dfs(u,x,z); first=0; } else { cnt++; pre[cnt]=z; len[cnt]=w[i]; cross[cnt]=pos[x]; start[cnt]=cp+1; dfs(u,x,cnt); } } } inline void up( int x){ val[x]=val[x<<1]; val[x]+=val[x<<1|1]; } void build( int x, int a, int b){ if (a==b){ seg[a]=x; val[x].init(a,on[a]); return ; } int mid=(a+b)>>1; build(x<<1,a,mid); build(x<<1|1,mid+1,b); up(x); } inline void change( int x){ int y=seg[x]; val[y].init(x,on[x]); for (y>>=1;y;y>>=1)up(y); } void ask( int x, int a, int b, int c, int d){ if (c<=a&&b<=d){ ans+=val[x]; return ; } int mid=(a+b)>>1; if (c<=mid)ask(x<<1,a,mid,c,d); if (d>mid)ask(x<<1|1,mid+1,b,c,d); } int main(){ scanf ( "%d%d%s" ,&n,&m,on+1); for (i=1;i<=n;i++)on[i]-= '0' ; for (i=1;i<n;i++) scanf ( "%d%d%d" ,&x,&y,&z),add(x,y,z),add(y,x,z); cnt=1; dfs(1,0,1); build(1,1,n); while (m--){ scanf ( "%d%d" ,&op,&x); if (op==1){ on[x]^=1; change(x); } else { scanf ( "%d" ,&y); ans.clr(); ask(1,1,n,x,y); printf ( "%lld\n" ,ans.cal()); } } } |
D. Master of Both III
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 | #include<bits/stdc++.h> using namespace std; const int N=22,P=998244353; int n,w[N]; long long f[1<<N]; void cmin( long long &a, long long b) { a=a<b?a:b; } int main() { scanf ( "%d" ,&n); for ( int i=0;i<n;i++) scanf ( "%d" ,&w[i]); reverse(w+1,w+n); for ( int S=0;S<(1<<n);S++) f[S]=1e18; f[0]=f[1]=0; int A=(1<<n)-1; for ( long long S=1;S<(1<<n);S++) for ( int i=1;i<n;i++) cmin(f[S|((S<<i)&A)|((S<<i)>>n)],f[S]+w[i]); for ( int S=A;S>=0;S--) for ( int i=0;i<n;i++) if (!(S>>i&1)) cmin(f[S],f[S^(1<<i)]); long long ans=0; for ( int S=0;S<(1<<n);S++) { ans+=f[S]*S; ans%=P; } printf ( "%lld\n" ,ans); } |
E. Interval Sum
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 | #include<bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio( false ); int n; cin>>n; if (n%2==0) { cout<<n/2<< ' ' ; } cout<<n<< ' ' ; for ( int i=1;i<=(n-1)/2;i++) cout<<i<< ' ' <<n-i<< ' ' ; cout<<endl; return 0; } |
F. Turn on the Light
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 | #include<bits/stdc++.h> using namespace std; const int N=33; int n; void solve( int l, int r, int cl, int cr) { if (l==r) { printf ( "! %d\n" ,l); fflush (stdout); // exit(0); return ; } if (r==l+1) { printf ( "? %d\n" ,l); fflush (stdout); int x; scanf ( "%d" ,&x); if (x== abs (cl-cr)) solve(l,l,cl,cr); else solve(r,r,cl+1,cr); return ; } if (cl==cr) { printf ( "? %d\n" ,r); fflush (stdout); int x; scanf ( "%d" ,&x); if (x== abs (cl-cr)) solve(r,r,cl,cr); else solve(l,r-1,cl,cr+1); } else { int mid=(l+r)>>1; printf ( "? %d\n" ,mid); fflush (stdout); int x; scanf ( "%d" ,&x); if (x== abs (cl-cr)) solve(mid,mid,cl,cr); else if (x== abs (cl-(cr+1))) solve(l,mid-1,cl,cr+1); else solve(mid+1,r,cl+1,cr); } } int main() { scanf ( "%d" ,&n); solve(1,n,0,0 ); } |
G. Puzzle: Kusabi
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 | #include<bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio( false ); int n; cin>>n; vector< int > pa(n+5),dep(n+5); vector< int > ty(n+5); dep[1]=1; for ( int i=2;i<=n;i++) { int u,v; string s; cin>>u>>v>>s; if (s== "Chang" )ty[i]=3; else if (s== "Tong" )ty[i]=2; else if (s== "Duan" )ty[i]=1; pa[i]=v; dep[i]=dep[v]+1; } vector<pair< int , int >> ans; vector<vector<tuple< int , int , int >>> rem(n+5); for ( int u=n;u>=1;u--) { if (ty[u])rem[u].emplace_back(u,ty[u],dep[u]); vector<pair< int , int >> spl[5]; // cerr<<"merge "<<u<<endl; for ( auto [id,t,d]:rem[u]) { // cerr<<id<<' '<<t<<' '<<d<<endl; spl[t].emplace_back(d,id); } for ( int i=1;i<=3;i++)sort(spl[i].begin(),spl[i].end()); int fl=0; while (not spl[2].empty()) { auto [d1,x]=spl[2].back();spl[2].pop_back(); if (spl[2].empty()) { if (fl) return cout<< "NO" <<endl,0; rem[pa[u]].emplace_back(x,2,d1); fl=1; break ; } auto [d2,y]=spl[2].back();spl[2].pop_back(); if (d1!=d2) { if (fl or spl[2].empty()) return cout<< "NO" <<endl,0; rem[pa[u]].emplace_back(x,2,d1); fl=1; tie(d1,x)=spl[2].back();spl[2].pop_back(); } if (d1!=d2) return cout<< "NO" <<endl,0; ans.emplace_back(x,y); } if (spl[1].size()!=spl[3].size() and fl) return cout<< "NO" <<endl,0; if (spl[1].size()==spl[3].size()) { for ( int i=0;i<( int )spl[1].size();i++) { if (spl[1][i].first<spl[3][i].first)ans.emplace_back(spl[1][i].second,spl[3][i].second); else return cout<< "NO" <<endl,0; } } else if (spl[1].size()>spl[3].size()) //keep shortest in 1 { if (( int )spl[1].size()>( int )spl[3].size()+1) return cout<< "NO" <<endl,0; for ( int i=spl[3].size()-1,j=spl[1].size()-1;i>=0;i--,j--) { if (spl[1][j].first<spl[3][i].first)ans.emplace_back(spl[1][j].second,spl[3][i].second); else { if (fl) return cout<< "NO" <<endl,0; else rem[pa[u]].emplace_back(spl[1][j].second,1,spl[1][j].first),fl=1,i++; } } if (not fl)rem[pa[u]].emplace_back(spl[1][0].second,1,spl[1][0].first); } else //keep longest in 3 { if (( int )spl[3].size()>( int )spl[1].size()+1) return cout<< "NO" <<endl,0; for ( int i=0,j=0;i<( int )spl[1].size();i++,j++) { if (spl[1][i].first<spl[3][j].first)ans.emplace_back(spl[1][i].second,spl[3][j].second); else { if (fl) return cout<< "NO" <<endl,0; else rem[pa[u]].emplace_back(spl[3][j].second,3,spl[3][j].first),fl=1,i--; } } if (not fl)rem[pa[u]].emplace_back(spl[3][spl[3].size()-1].second,3,spl[3][spl[3].size()-1].first); } } if (not rem[0].empty()) return cout<< "NO" <<endl,0; cout<< "YES" <<endl; for ( auto [x,y]:ans)cout<<x<< ' ' <<y<<endl; return 0; } |
H. Puzzle: Tapa
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 | #include<bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio( false ); int n,m; cin>>n>>m; vector<string> S(2*n+5); for ( int i=1;i<=2*n-1;i++) { string s; cin>>s; S[i]= ' ' +s; for ( int j=1;j<=2*m-1;j++) if (S[i][j]== '.' ) S[i][j]= '#' ; } vector<vector< int >> G(n*m+5); auto getty=[&]( int x, int y){ return (x==1 or x==n) or (y==1 or y==m);}; auto geths=[&]( int x, int y){ return (x-1)*m+y;}; auto addedge=[&]( int u, int v){G[u].push_back(v);G[v].push_back(u);}; for ( int i=1;i<=n;i++) for ( int j=1;j<=m;j++) { if (S[2*i-1][2*j-1]== '2' or S[2*i-1][2*j-1]== '4' or S[2*i-1][2*j-1]== '7' ) { if (j<m) { if (m==2 and i!=1 and i!=n){} else if (S[2*i-1][2*j+1]== '2' or S[2*i-1][2*j+1]== '4' or S[2*i-1][2*j+1]== '7' ) if (getty(i,j)==getty(i,j+1)) addedge(geths(i,j),geths(i,j+1)); } if (i<n) { if (n==2 and j!=1 and j!=m){} else if (S[2*i+1][2*j-1]== '2' or S[2*i+1][2*j-1]== '4' or S[2*i+1][2*j-1]== '7' ) if (getty(i,j)==getty(i+1,j)) addedge(geths(i,j),geths(i+1,j)); } } } vector< int > ma(n*m+5); for ( int i=1;i<=n;i++) for ( int j=1;j<=m;j++) { if ((i+j)%2==0 and (S[2*i-1][2*j-1]== '2' or S[2*i-1][2*j-1]== '4' or S[2*i-1][2*j-1]== '7' )) { int u=geths(i,j); for ( auto v:G[u]) { if (!ma[v]) { // cerr<<"match "<<u<<' '<<v<<endl; ma[u]=v,ma[v]=u; break ; } } } } for ( int i=1;i<=n;i++) for ( int j=1;j<=m;j++) { if ((i+j)%2==0 and (S[2*i-1][2*j-1]== '2' or S[2*i-1][2*j-1]== '4' or S[2*i-1][2*j-1]== '7' )) { int u=geths(i,j); if (!ma[u]) { vector< int > vis(n*m+5); function< bool ( int )> dfs=[&]( int u) { // cerr<<"dfs "<<u<<endl; for ( auto v:G[u]) { if (not vis[v]) { vis[v]=1; if (!ma[v] or dfs(ma[v])) { // cerr<<"match "<<u<<' '<<v<<endl; ma[u]=v,ma[v]=u; return true ; } } } return false ; }; if (not dfs(u)) { cout<< "NO" <<endl; return 0; } } } } for ( int i=1;i<=n;i++) for ( int j=1;j<=m;j++) { if ((S[2*i-1][2*j-1]== '2' or S[2*i-1][2*j-1]== '4' or S[2*i-1][2*j-1]== '7' ) and not ma[geths(i,j)]) { cout<< "NO" <<endl; return 0; } if (ma[geths(i,j)]) { int v=ma[geths(i,j)]; int x=(v-1)/m+1,y=(v-1)%m+1; if (x>i)S[2*i-1+1][2*j-1]= '.' ; else if (y>j)S[2*i-1][2*j-1+1]= '.' ; } } cout<< "YES" <<endl; for ( int i=1;i<=2*n-1;i++) { for ( int j=1;j<=2*m-1;j++) cout<<S[i][j]; cout<<endl; } return 0; } |
I. Equation Discovering
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 | #include <bits/stdc++.h> using namespace std; inline void TestComplexity() { int n = 11; int unary = 2; int binary = 4; int ter = 1; int f[20][20]; memset (f, 0, sizeof f); f[0][0] = 1; for ( int i = 0; i < n; ++i) for ( int j = 0; j <= i; ++j) { f[i + 1][j + 1] += f[i][j] * ter; if (j >= 1) f[i + 1][j] += f[i][j] * unary; if (j >= 2) f[i + 1][j - 1] += f[i][j] * binary; } printf ( "%d\n" , f[n][1]); // 2240512 // time complexity = 2240512 * 20 = 4e7 } const int N = 20; int n; double dx[N], dy[N]; struct StackItem { int size; double a[N]; }; StackItem operator+( const StackItem &u, const StackItem &v) { StackItem ans; ans.size = u.size + v.size; for ( int i = 0; i < n; ++i) ans.a[i] = u.a[i] + v.a[i]; return ans; } StackItem operator-( const StackItem &u, const StackItem &v) { StackItem ans; ans.size = u.size + v.size; for ( int i = 0; i < n; ++i) ans.a[i] = u.a[i] - v.a[i]; return ans; } StackItem operator*( const StackItem &u, const StackItem &v) { StackItem ans; ans.size = u.size + v.size; for ( int i = 0; i < n; ++i) ans.a[i] = u.a[i] * v.a[i]; return ans; } StackItem operator/( const StackItem &u, const StackItem &v) { StackItem ans; ans.size = u.size + v.size; for ( int i = 0; i < n; ++i) ans.a[i] = u.a[i] / v.a[i]; return ans; } StackItem Sin(StackItem u) { for ( int i = 0; i < n; ++i) u.a[i] = sin (u.a[i]); return u; } StackItem Cos(StackItem u) { for ( int i = 0; i < n; ++i) u.a[i] = cos (u.a[i]); return u; } StackItem MakeX() { StackItem ans; ans.size = 1; for ( int i = 0; i < n; ++i) ans.a[i] = dx[i]; return ans; } bool Test( const StackItem &u) { for ( int i = 0; i < n; ++i) if ( abs (u.a[i] - dy[i]) / max(1.0, abs (dy[i])) > 1e-3) return 0; return 1; } bool TestDiv( const StackItem &u) { for ( int i = 0; i < n; ++i) if ( abs (u.a[i]) < 0.02) return 0; return 1; } StackItem sta[N], backup[N][2]; char sol[N]; namespace PrintOut { int c[N][2], sta[N]; void Print( char *sol, int x) { if (sol[x] == 'x' ) { printf ( "x" ); } else if (sol[x] == 'c' ) { printf ( "cos(" ); Print(sol, c[x][0]); printf ( ")" ); } else if (sol[x] == 's' ) { printf ( "sin(" ); Print(sol, c[x][0]); printf ( ")" ); } else if (sol[x] == '+' || sol[x] == '-' || sol[x] == '*' || sol[x] == '/' ) { printf ( "(" ); Print(sol, c[x][0]); printf ( "%c" , sol[x]); Print(sol, c[x][1]); printf ( ")" ); } } void Solve( char *sol) { int top = 0; for ( int i = 0; sol[i]; ++i) { if (sol[i] == '+' || sol[i] == '-' || sol[i] == '*' || sol[i] == '/' ) { c[i][0] = sta[top - 2]; c[i][1] = sta[top - 1]; top -= 2; } else if (sol[i] == 'c' || sol[i] == 's' ) { c[i][0] = sta[top - 1]; top -= 1; } sta[top++] = i; } Print(sol, sta[top - 1]); puts ( "" ); } } inline void Dfs( int ps, int top) { if (top == 1 && Test(sta[top - 1])) { sol[ps] = 0; PrintOut::Solve(sol); exit (0); } if (ps == 10) return ; if (top + 1 - (10 - ps - 1) <= 1) { sol[ps] = 'x' ; sta[top] = MakeX(); Dfs(ps + 1, top + 1); } if (top - (10 - ps - 1) <= 1 && top) { backup[ps][0] = sta[top - 1]; sol[ps] = 'c' ; sta[top - 1] = Cos(backup[ps][0]); Dfs(ps + 1, top); sol[ps] = 's' ; sta[top - 1] = Sin(backup[ps][0]); Dfs(ps + 1, top); sta[top - 1] = backup[ps][0]; } if (top >= 2) { backup[ps][0] = sta[top - 2]; backup[ps][1] = sta[top - 1]; if (backup[ps][0].size <= backup[ps][1].size) { sol[ps] = '+' ; sta[top - 2] = backup[ps][0] + backup[ps][1]; Dfs(ps + 1, top - 1); sol[ps] = '*' ; sta[top - 2] = backup[ps][0] * backup[ps][1]; Dfs(ps + 1, top - 1); } sol[ps] = '-' ; sta[top - 2] = backup[ps][0] - backup[ps][1]; Dfs(ps + 1, top - 1); if (TestDiv(backup[ps][1])) { sol[ps] = '/' ; sta[top - 2] = backup[ps][0] / backup[ps][1]; Dfs(ps + 1, top - 1); } sta[top - 2] = backup[ps][0]; sta[top - 1] = backup[ps][1]; } } int main() { scanf ( "%d" , &n); for ( int i = 0; i < n; ++i) { scanf ( "%lf%lf" , dx + i, dy + i); } Dfs(0, 0); return 0; } |
J. Stage Clear
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 | #include<cstdio> #include<algorithm> #include<queue> using namespace std; typedef long long ll; const int N=47,LIM=26; const ll inf=1LL<<60; int n,m,i,x,y,deg[N],pre[N][N];ll ans=inf; struct P{ ll a,b; P(){} P(ll _a,ll _b){a=_a,b=_b;} bool operator<( const P&o) const { int sgn1=a<b,sgn2=o.a<o.b; if (sgn1!=sgn2) return sgn1<sgn2; if (a<b) return a>o.a; return b<o.b; } void operator+=( const P&o){ ll na=max(a,a-b+o.a),nb=b+o.b-a-o.a+na; a=na,b=nb; } }a[N],init[N]; inline void up(ll&a,ll b){a>b?(a=b):0;} namespace SMALL{ int m,S,i,j,k,mask[N];ll va[N],vb[N],f[(1<<(LIM-1))+1]; void solve(){ for (i=2;i<=n;i++){ S=0; for (j=0;j<deg[i];j++){ k=pre[i][j]; if (k>1)S|=1<<(k-2); else S|=1<<n; } mask[i-2]=S; va[i-2]=a[i].a; vb[i-2]=a[i].b; } n--; m=1<<n; for (S=1;S<m;S++)f[S]=inf; for (S=0;S<m;S++){ ll tmp=f[S]; if (tmp>=inf) continue ; for (i=0;i<n;i++) if (!(S>>i&1)){ if ((mask[i]&S)==mask[i]) continue ; ll now=tmp; now-=vb[i]; if (now<0)now=0; now+=va[i]; up(f[S^(1<<i)],now); } } ans=f[m-1]; } } namespace BIG{ int fa[N],f[N],vis[N],del[N],pos; typedef pair< int , int >PI; typedef pair<P,PI>PII; priority_queue<PII>q; int F( int x){ return del[f[x]]?f[x]=F(f[x]):f[x];} inline void solve_tree(){ int i,x,y; for (pos=i=0;i<=n;i++)vis[i]=del[i]=0; a[1]=P(0,0); for (i=2;i<=n;i++)a[i]=init[i],f[i]=fa[i]; for (i=2;i<=n;i++)q.push(PII(a[i],PI(0,i))); while (!q.empty()){ PII t=q.top(); q.pop(); x=t.second.second; if (del[x]) continue ; if (t.second.first!=vis[x]) continue ; del[x]=1; y=F(x); a[y]+=a[x]; if (y>1)q.push(PII(a[y],PI(vis[y]=++pos,y))); } up(ans,a[1].a); } void dfs( int x){ if (x>n){ solve_tree(); return ; } for ( int i=0;i<deg[x];i++){ fa[x]=pre[x][i]; dfs(x+1); } } void solve(){ for (i=1;i<=n;i++)init[i]=a[i]; dfs(2); } } int main(){ scanf ( "%d%d" ,&n,&m); for (i=2;i<=n;i++) scanf ( "%lld%lld" ,&a[i].a,&a[i].b); while (m--){ scanf ( "%d%d" ,&x,&y); pre[y][deg[y]++]=x; } if (n<=LIM)SMALL::solve(); else BIG::solve(); printf ( "%lld" ,ans); } |
K. Lazy but Diligent
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 | #include<bits/stdc++.h> using namespace std; #define N 420 struct course{ int s,t,p; bool operator < ( const course &c) const { return s<c.s; } }a[N]; int n,m,q,s,t,f[N][N],dp[N][N]; void cmin( int &x, int y){x=min(x,y);} void cmax( int &x, int y){x=max(x,y);} int main(){ ios::sync_with_stdio(0); cin.tie(0); cin>>n>>m>>q>>t>>s; memset (f,0x3f, sizeof f); for ( int i=1;i<=n;++i) f[i][i]=0; for ( int i=1;i<=m;++i){ int x,y,z; cin>>x>>y>>z; cmin(f[x][y],z); cmin(f[y][x],z); } for ( int k=1;k<=n;++k){ for ( int i=1;i<=n;++i){ for ( int j=1;j<=n;++j){ cmin(f[i][j],f[i][k]+f[k][j]); } } } for ( int i=1;i<=q;++i){ cin>>a[i].s>>a[i].t>>a[i].p; } a[0].s=a[0].t=0; a[0].p=1; ++q; a[q].s=a[q].t=t; a[q].p=1; sort(a,a+q+1); memset (dp,0xcf, sizeof dp); dp[0][0]=0; for ( int i=1;i<=q;++i){ for ( int j=1;j<=i;++j){ for ( int k=0;k<i;++k){ int ti=a[i].s-a[k].t; int x=a[i].p,y=a[k].p; if (f[x][y]<=ti) cmax(dp[i][j],dp[k][j-1]); if ( int dlt=ti-f[1][x]-f[1][y];dlt>=0) cmax(dp[i][j],dp[k][j-1]+dlt); } } } int ans=0; for ( int i=1;i<=q;++i) if (dp[q][i]>=s) ans=i; cout<<ans-1<< '\n' ; } |
L. Barkley
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 | #include<bits/stdc++.h> using namespace std; using ll= long long ; using pii=pair<ll, int >; #define fs first #define sd second #define mp make_pair const int N=1e5+1e3+7; int n,q; ll a[N]; vector<pii>g[N]; ll ans; void dfs( int x,ll G, int t, int k) { if (x<t) { ans=max(ans,G); return ; } if (!k) { for ( auto [w,p]:g[x]) if (p<=t) { ans=max(ans,__gcd(G,w)); break ; } return ; } dfs(x-1,G,t,k-1); for ( auto [w,p]:g[x]) dfs(p-2,__gcd(G,w),t,k-1); } int main() { scanf ( "%d%d" ,&n,&q); for ( int i=1;i<=n;i++) scanf ( "%lld" ,&a[i]); for ( int i=1;i<=n;i++) { vector<pii>ng=g[i-1]; for ( auto &[x,y]:ng) x=__gcd(x,a[i]); ng.push_back({a[i],i}); for ( auto [x,y]:ng) if (!g[i].size()||x!=g[i].back().fs) g[i].push_back({x,y}); } for ( int i=1;i<=n;i++) reverse(g[i].begin(),g[i].end()); while (q--) { int l,r,k; scanf ( "%d%d%d" ,&l,&r,&k); ans=0; dfs(r,0,l,k); printf ( "%lld\n" ,ans); } } |
M. A Wine and Four Dishes
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 | #include<bits/stdc++.h> using namespace std; const int N=33; int n,x,y; int a[N],b[N]; int main() { scanf ( "%d%d%d" ,&n,&x,&y); for ( int i=1;i<=n;i++) scanf ( "%d%d" ,&a[i],&b[i]); if (!x&&!y) { puts ( "0" ); return 0; } int ans=0; if (x) { int mx=-1; for ( int i=1;i<=n;i++) if (a[i]==1) mx=max(mx,b[i]); if (mx==-1) { puts ( "IMPOSSIBLE" ); return 0; } for ( int i=1;i<=n;i++) if (a[i]==1&&b[i]==mx) { y-=b[i]; b[i]=0; break ; } ans++; } sort(b+1,b+n+1); for ( int i=n;i>=1;i--) { if (y<=0) break ; ans++; y-=b[i]; } if (y>0) puts ( "IMPOSSIBLE" ); else printf ( "%d\n" ,ans); } |
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