Submission #150996

#TimeUsernameProblemLanguageResultExecution timeMemory
150996aayush9Trip to the Galapagos Islands (FXCUP4_island)C++17
31 / 100
5077 ms524288 KiB
#include "island.h" #include <bits/stdc++.h> using namespace std; const int MAX_M = 300000; const int GAP = 500; struct UnionFind { int n; vector<int> uf,si,c; UnionFind(int n=0):n(n),uf(n),si(n,1){ for(int i=0;i<n;++i) uf[i]=i; } int find(int x){return x==uf[x]?x:find(uf[x]);} bool join(int x, int y, bool keep_track = 1){ if((x=find(x))==(y=find(y))) return false; if(si[x]<si[y]) swap(x,y); si[x]+=si[y];uf[y]=x; if(keep_track) c.push_back(y); return true; } void rollback(){ while(c.size()){ int x=c.back(); c.pop_back(); si[uf[x]]-=si[x];uf[x]=x;; } } } UF[MAX_M/GAP+2]; vector<pair<int,int>> edges; vector<int> pos[100005]; int M, N; map<int,int> memo[100005]; void Init(int K, vector<int> F, vector<int> S, vector<int> E){ N = F.size(); M = S.size(); edges.resize(M); for(int i=0;i<N;++i) memo[i].clear(); for(int i=0;i<K;++i) pos[i].clear(); for(int i=0;i<M;++i) edges[M-i-1] = {S[i], E[i]}; for(int i=0;i<(int)F.size();++i) pos[F[i]].push_back(i); UnionFind cur(N); for(int i=0;i<M;++i){ if(i%GAP==0) UF[i/GAP] = cur; cur.join(edges[i].first, edges[i].second, 0); } } int Separate(int A, int B){ if(A>B) swap(A,B); if(memo[A].count(B)) return memo[A][B]; int bucket = 0, ans = -1; for(int i=0;i<M;i+=GAP){ if(UF[i/GAP].find(pos[A][0]) == UF[i/GAP].find(pos[B][0])) break; bucket = i/GAP; } while(1){ for(auto i:pos[A]) UF[bucket].join(pos[A][0], i, 1); for(auto i:pos[B]) UF[bucket].join(pos[B][0], i, 1); if(UF[bucket].find(pos[A][0]) == UF[bucket].find(pos[B][0])){ UF[bucket--].rollback(); } else{ break; } } int start = bucket * GAP; for(int i=start;i<=start+GAP && i<M; ++i){ UF[bucket].join(edges[i].first, edges[i].second, 1); if(UF[bucket].find(pos[A][0]) == UF[bucket].find(pos[B][0])){ ans = M - i; break; } } assert(ans != -1); UF[bucket].rollback(); return memo[A][B] = ans; }
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