Submission #237586

#TimeUsernameProblemLanguageResultExecution timeMemory
237586nicolaalexandraJousting tournament (IOI12_tournament)C++14
100 / 100
563 ms26596 KiB
#include <bits/stdc++.h> #define DIM 100010 #define INF 2000000000 using namespace std; int n,r,c,i,j; int aib[DIM*2],v[DIM],stramos[DIM*2][22],aint[DIM*4]; set <pair<int,int> > s; pair<int,int> intv[DIM*2]; void update_aib (int p, int val){ for (;p<=n;p+=(p&-p)) aib[p] += val; } int query (int p){ if (p <= 0) return 0; int sol = 0; for (;p;p-=(p&-p)) sol += aib[p]; return sol; } int find_kth (int k){ int st = 1, dr = n, sol = 0; while (st <= dr){ int mid = (st+dr)>>1; if (query(mid) >= k){ sol = mid; dr = mid-1; } else st = mid+1; } return sol; } void build (int nod, int st, int dr){ if (st == dr){ aint[nod] = v[st]; return; } int mid = (st+dr)>>1; build (nod<<1,st,mid); build ((nod<<1)|1,mid+1,dr); aint[nod] = max (aint[nod<<1],aint[(nod<<1)|1]); } void update (int nod, int st, int dr, int poz, int val){ if (st == dr){ aint[nod] = val; return; } int mid = (st+dr)>>1; if (poz <= mid) update (nod<<1,st,mid,poz,val); else update ((nod<<1)|1,mid+1,dr,poz,val); aint[nod] = max (aint[nod<<1],aint[(nod<<1)|1]); } int query (int nod, int st, int dr, int x, int y){ if (x <= st && dr <= y) return aint[nod]; int mid = (st+dr)>>1, sol_st = 0, sol_dr = 0; if (x <= mid) sol_st = query (nod<<1,st,mid,x,y); if (y > mid) sol_dr = query ((nod<<1)|1,mid+1,dr,x,y); return max (sol_st,sol_dr); } int GetBestPosition (int N, int C, int R, int *K, int *S, int *E) { n = N, r = R+1, c = C; for (i=1;i<=n;i++){ update_aib (i,1); s.insert(make_pair(i,i)); intv[i] = make_pair(i,i); } int idx = n; for (i=1;i<=c;i++){ idx++; int x = S[i-1] + 1, y = E[i-1] + 1; int poz = find_kth(x); set <pair<int,int> > :: iterator it = s.lower_bound(make_pair(poz,0)), it2; it2 = it; int maxi = 0, mini = INF; /// sterg tot intervalul care incepe la poz for (int pas=1;pas<=y-x+1;pas++){ mini = min (mini,intv[it2->second].first); maxi = max (maxi,intv[it2->second].second); stramos[it2->second][0] = idx; update_aib(it2->first,-1); it2++; } s.erase(it,it2); s.insert(make_pair(poz,idx)); update_aib(poz,1); intv[idx] = make_pair(mini,maxi); } for (j=1;j<=20;j++) for (i=1;i<=n+c;i++) stramos[i][j] = stramos[stramos[i][j-1]][j-1]; v[1] = 0; for (i=2;i<=n;i++){ if (K[i-2]+1 < r) v[i] = 0; else v[i] = 1; } build (1,1,n); int sol = 0, best_poz = 1; for (i=1;i<=n;i++){ /// vreau sa vad cat de mult ma pot duc in sus a.i. sa am numai 0 in subarbore int nod = i, nr = 0; for (j=20;j>=0;j--){ int nod_aux = stramos[nod][j]; if (!nod_aux) continue; int st = intv[nod_aux].first , dr = intv[nod_aux].second; int maxi = query (1,1,n,st,dr); if (!maxi){ /// e subarbore ok, deci pot sa urc nod = nod_aux; nr += (1<<j); } } if (nr > sol){ sol = nr; best_poz = i; } if (i == n) break; /// fac swap intre v[i] si v[i+1] int aux = v[i], aux2 = v[i+1]; update (1,1,n,i,aux2); update (1,1,n,i+1,aux); swap (v[i],v[i+1]); } return best_poz-1; }
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