제출 #218655

#제출 시각아이디문제언어결과실행 시간메모리
218655MarcoMeijer자리 배치 (IOI18_seats)C++14
70 / 100
4086 ms189816 KiB
#include "seats.h" #include <bits/stdc++.h> using namespace std; //macros typedef long long ll; typedef pair<int, int> ii; typedef tuple<int, int, int> iii; typedef vector<int> vi; typedef vector<ii> vii; typedef vector<iii> viii; typedef vector<ll> vll; #define REP(a,b,c) for(int a=int(b); a<int(c); a++) #define RE(a,c) REP(a,0,c) #define RE1(a,c) REP(a,1,c+1) #define REI(a,b,c) REP(a,b,c+1) #define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--) #define INF 1e9 #define pb push_back #define fi first #define se second mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); template<class T, int DEF=0> class Seg { public: vi SEG; int sz; T t; void resize(int _sz) { sz = _sz; SEG.resize(sz*4); } void build(int p=0, int l=0, int r=-1) { if(r == -1) r = sz-1; if(l == r) { SEG[p] = 0; return; } int m=(l+r)/2; build(p*2+1,l,m); build(p*2+2,m+1,r); if(t(SEG[p*2+1], SEG[p*2+2])) SEG[p] = SEG[p*2+1]; else SEG[p] = SEG[p*2+2]; } int get(int i, int j, int p=0, int l=0, int r=-1) { if(r == -1) r = sz-1; if(j < l || i > r) return DEF; if(i <= l && j >= r) return SEG[p]; int m=(l+r)/2; int a=get(i,j,p*2+1,l,m); int b=get(i,j,p*2+2,m+1,r); if(t(a,b)) return a; else return b; } void set(int i, int x, int p=0, int l=0, int r=-1) { if(r == -1) r = sz-1; if(i < l || i > r) return; if(l == r) { SEG[p] = x; return; } int m=(l+r)/2; set(i,x,p*2+1,l,m); set(i,x,p*2+2,m+1,r); if(t(SEG[p*2+1], SEG[p*2+2])) SEG[p] = SEG[p*2+1]; else SEG[p] = SEG[p*2+2]; } }; int h, w, n; vi r, c; vector<Seg<greater<int>>> maxR; vector<Seg<greater<int>>> maxC; int tot=0; vi mnR, mxR, mnC, mxC; vi A; vi added; vi SEG, SEGMIN, SEGCNT; void updateNode(int p) { SEG[p] = 0; SEGMIN[p] = min(SEGMIN[p*2+1], SEGMIN[p*2+2]); SEGCNT[p] = 0; if(SEGMIN[p*2+1] == SEGMIN[p]) SEGCNT[p] += SEGCNT[p*2+1]; if(SEGMIN[p*2+2] == SEGMIN[p]) SEGCNT[p] += SEGCNT[p*2+2]; } void buildSeg(int p=0, int L=0, int R=n-1) { if(L == R) { SEG[p] = 0; SEGMIN[p] = 0; SEGCNT[p] = 1; return; } int m=(L+R)/2; buildSeg(p*2+1,L,m); buildSeg(p*2+2,m+1,R); updateNode(p); } void addSeg(int i, int j, int x, int lazy=0, int p=0, int L=0, int R=n-1) { SEG [p] += lazy; SEGMIN[p] += lazy; if(j < L || i > R) return; if(i <= L && j >= R) { SEG [p] += x; SEGMIN[p] += x; return; } int m=(L+R)/2; addSeg(i,j,x,SEG[p],p*2+1,L,m); addSeg(i,j,x,SEG[p],p*2+2,m+1,R); updateNode(p); } void updateNeigbours(int i, int j, int x=1) { if(i < 0 || i >= n) return; int bg = A[i], ed; if(j < 0 || j >= n) { ed = n-1;// always empty } else { ed = A[j]-1; } if(ed < bg) return; addSeg(bg, ed, x); } void updateRange(int L, int R) { REI(i,L,R) { if(added[i]) tot--; added[i] = 0; mnR[i] = r[i]; mxR[i] = r[i]; mnC[i] = c[i]; mxC[i] = c[i]; if(i != 0) { mnR[i] = min(mnR[i], mnR[i-1]); mxR[i] = max(mxR[i], mxR[i-1]); mnC[i] = min(mnC[i], mnC[i-1]); mxC[i] = max(mxC[i], mxC[i-1]); } if((mxR[i]-mnR[i]+1)*(mxC[i]-mnC[i]+1) == i+1) { tot++; added[i] = 1; } } } void give_initial_chart(int H, int W, vi R, vi C) { h=H, w=W, r=R, c=C; n = h*w; maxR.resize(h); maxC.resize(w); RE(i,h) maxR[i].resize(w); RE(i,w) maxC[i].resize(h); RE(i,n) maxR[r[i]].set(c[i],i); RE(i,n) maxC[c[i]].set(r[i],i); mnR .assign(n, INF); mxR .assign(n, -INF); mnC .assign(n, INF); mxC .assign(n, -INF); added.assign(n, 0); updateRange(0,n-1); if(h == 1) { SEG .resize(n*4); SEGMIN.resize(n*4); SEGCNT.resize(n*4); A.resize(n); RE(i,n) A[c[i]] = i; buildSeg(); RE(i,n) updateNeigbours(i,i+1), updateNeigbours(i,i-1); } } int swap_seats_1(int a, int b); int swap_seats(int a, int b) { if(h == 1) return swap_seats_1(a, b); if(b < a) swap(a,b); swap(r[a], r[b]); swap(c[a], c[b]); if(h > 1000 || w > 1000) { updateRange(a,b); return tot; } maxR[r[a]].set(c[a],a); maxR[r[b]].set(c[b],b); maxC[c[a]].set(r[a],a); maxC[c[b]].set(r[b],b); int cnt = 0; int cMinR = r[0]; int cMaxR = r[0]; int cMinC = c[0]; int cMaxC = c[0]; int i = 0; while(1) { if(i == (cMaxR-cMinR+1)*(cMaxC-cMinC+1)-1) cnt++; int val[4], res=0; val[0] = (cMinR == 0 ? INF : maxR[cMinR-1].get(cMinC, cMaxC)); val[1] = (cMinC == 0 ? INF : maxC[cMinC-1].get(cMinR, cMaxR)); val[2] = (cMaxR == h-1 ? INF : maxR[cMaxR+1].get(cMinC, cMaxC)); val[3] = (cMaxC == w-1 ? INF : maxC[cMaxC+1].get(cMinR, cMaxR)); RE(i,4) if(val[i] < val[res]) res = i; if(val[res] == INF) break; if(res == 0) cMinR--; if(res == 1) cMinC--; if(res == 2) cMaxR++; if(res == 3) cMaxC++; i = max(i, val[res]); } return cnt; } int swap_seats_1(int a, int b) { set<ii> updatedNeigbours; updatedNeigbours.insert({c[a] ,c[a]+1}); updatedNeigbours.insert({c[a] ,c[a]-1}); updatedNeigbours.insert({c[a]-1,c[a] }); updatedNeigbours.insert({c[a]+1,c[a] }); updatedNeigbours.insert({c[b] ,c[b]+1}); updatedNeigbours.insert({c[b] ,c[b]-1}); updatedNeigbours.insert({c[b]-1,c[b] }); updatedNeigbours.insert({c[b]+1,c[b] }); for(ii p : updatedNeigbours) updateNeigbours(p.fi, p.se, -1); swap(r[a], r[b]); swap(c[a], c[b]); A[c[a]] = a; A[c[b]] = b; for(ii p : updatedNeigbours) updateNeigbours(p.fi, p.se, 1); if(SEGMIN[0] != 2) return 0; else return SEGCNT[0]; }
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