Submission #151084

#TimeUsernameProblemLanguageResultExecution timeMemory
151084aayush9갈라파고스 여행 (FXCUP4_island)C++17
31 / 100
5130 ms493188 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[603]; struct UnionFindFinches{ int n; vector<int> si,uf; vector<vector<pair<int,int>>> adj; UnionFindFinches(int n=0):n(n),si(n,1),uf(n),adj(n){ for(int i=0;i<n;++i) uf[i]=i; } int find(int x){ if(x==uf[x]) return x; return find(uf[x]); } void join(int x, int y, int time, int special){ if((x=find(x))==(y=find(y))) return; // if(x != special){ if(si[x]<si[y]) swap(x,y); si[x]+=si[y]; // } uf[y]=x; // function<void(int,int)> dfs = [&](int x, int y){ // for(auto i:who[y]) who[x].push_back({i.first, time}); // who[y].clear(); // uf[y] = x, si[y] = 0; // for(auto i:adj[y]) dfs(x, i); // adj[y].clear(); // }; adj[x].push_back({y,time}); adj[y].push_back({x,time}); // if(x == special) dfs(x, y); } }; 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); } for(int finch=0;finch<K;++finch) if(pos[finch].size() >= GAP){ UnionFindFinches dsu(N); for(auto i:pos[finch]) dsu.join(pos[finch][0], i, -1, pos[finch][0]); for(int i=0;i<M;++i){ int x, y; tie(x,y) = edges[i]; if(F[x] == finch && F[y] == finch) continue; if(F[y] == finch) swap(x,y); dsu.join(x,y,M - i,pos[finch][0]); } function<void(int,int,int)> dfs = [&](int y, int dad, int min_so_far){ memo[finch][F[y]] = max(memo[finch][F[y]], min_so_far); for(auto i:dsu.adj[y]) if(i.first != dad) dfs(i.first, y, min(min_so_far,i.second)); }; for(auto i:dsu.adj[pos[finch][0]]) dfs(i.first, -1, i.second); // for(auto i:dsu.who[pos[finch][0]]) // memo[finch][F[i.first]] = max(memo[finch][F[i.first]], i.second); } } 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; int lo = 0, hi = (M-1)/GAP; while(lo<hi){ int b = (lo + hi + 1)/2; for(auto i:pos[A]) UF[b].join(pos[A][0], i, 1); for(auto i:pos[B]) UF[b].join(pos[B][0], i, 1); if(UF[b].find(pos[A][0]) == UF[b].find(pos[B][0])){ hi = b - 1; } else{ lo = b; } UF[b].rollback(); } bucket = lo; 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); 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; } } UF[bucket].rollback(); return memo[A][B] = ans; }
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