Submission #756661

#TimeUsernameProblemLanguageResultExecution timeMemory
756661khoquennguoiminhthuongBridges (APIO19_bridges)C++17
100 / 100
2700 ms5560 KiB
#include <bits/stdc++.h> using namespace std; int n,m,q; struct canh { int u,v,w; } e[500005]; int dd[200005],ans[200005]; struct disjoint_set_union_rollback { vector <int> lab, sz; stack <int> save; int n; disjoint_set_union_rollback(int _n = 0) : n(_n) { lab.resize(n + 1, 0); sz.resize(n + 1, 1); iota(lab.begin(),lab.end(), 0); } void clear() { while((int) save.size()) save.pop(); fill(sz.begin(),sz.end(), 1); iota(lab.begin(),lab.end(), 0); } int find(int u) { assert(u <= n); // cout << u << '\n'; return lab[u] == u ? u : find(lab[u]); } bool merge(int u, int v) { u = find(u), v = find(v); if(u == v) return false; if(sz[u] < sz[v]) swap(u, v); sz[u] += sz[v]; lab[v] = u; save.push(v); return true; } void rollback(int ptr) { while((int) save.size() > ptr) { int v = save.top(); save.pop(); sz[lab[v]] -= sz[v]; lab[v] = v; } } }; bool cmp(int a,int b) { if(e[a].w!=e[b].w)return e[a].w>e[b].w; return a<b; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin>>n>>m; for(int i=1; i<=m; i++) { cin>>e[i].u>>e[i].v>>e[i].w; } cin>>q; for(int i=1; i<=q; i++) cin>>e[i+m].u>>e[i+m].v>>e[i+m].w; const int blsize=1000; disjoint_set_union_rollback dsu(n+5); for(int l=m+1; l<=q+m; l+=blsize) { int r=min(l+blsize-1,m+q); dsu.clear(); vector<int>change; vector<int>unchange; for(int i=l; i<=r; i++) { if(e[i].u==1) { change.push_back(i); dd[e[i].v]=1; } else unchange.push_back(i); } for(int i=1; i<=m; i++)if(dd[i]==0)unchange.push_back(i); else dd[i]=0; sort(unchange.begin(),unchange.end(),cmp); reverse(change.begin(),change.end()); for(auto v:unchange) { if(v<=m) { dsu.merge(e[v].u,e[v].v); } else { int now=(int)dsu.save.size(); for(auto vv:change) { if(vv<=v&&dd[e[vv].v]==0) { dd[e[vv].v]=1; int id=e[vv].v; if(e[vv].w>=e[v].w)dsu.merge(e[id].u,e[id].v); } } for(auto vv:change) { if(vv>v&&dd[e[vv].v]==0) { int id=e[vv].v; if(e[id].w>=e[v].w)dsu.merge(e[id].u,e[id].v); } } ans[v]=dsu.sz[dsu.find(e[v].v)]; dsu.rollback(now); for(auto vv:change)dd[e[vv].v]=0; } } for(int i=l;i<=r;i++)if(e[i].u==1){int id=e[i].v;e[id].w=e[i].w;} } for(int i=m+1; i<=m+q; i++)if(ans[i])cout<<ans[i]<<'\n'; return 0; }
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