Submission #426936

#TimeUsernameProblemLanguageResultExecution timeMemory
426936nots0fastSwapping Cities (APIO20_swap)C++17
100 / 100
512 ms46996 KiB
#include <bits/stdc++.h> #include "swap.h" using namespace std; #define mp(a,b) make_pair(a,b) #define ff first #define setp(a) setprecision(a)<<fixed #define ss second #define fori(v) for(ll i=0; i<v; i++) #define forj(v) for(ll j=0; j<v; j++) #define fork(v) for(ll k=0; k<v; k++) #define forl(v) for(ll l=0; l<v; l++) #define fort(v) for(ll t=0; t<v; t++) #define forz(v) for(ll z=0; z<v; z++) #define forx(v) for(ll x=0; x<v; x++) #define fory(v) for(ll y=0; y<v; y++) #define ll long long #define ld long double #define pb(a) push_back(a) const ll INF = 0x3f3f3f3f; const ll inf = 1*pow(10,9) + 100; ll modulo = pow(10,9) + 7; #define MAX (int)(pow(10,5) + 10) namespace dsu{ int aid[MAX]; vector<int> dsu[MAX]; vector<pair<int,int> > nodeBelongs[MAX]; // nodes history of components int when[MAX]; // when did a component become 2 tracable int deg[MAX]; // degree of nodes void init(int n){ fori(n){ aid[i] = i, dsu[i].clear(), dsu[i].push_back(i), when[i] = inf, deg[i] = 0, nodeBelongs[i].pb(mp(i, 0)); } } bool join(int a,int b, int w){ // 1 - if joined, 0 - if they were already joined deg[a]++; deg[b]++; int aid1 = aid[a], aid2 = aid[b]; if(deg[a] > 2 || deg[b] > 2){ when[aid1] = min(when[aid1], w); when[aid2] = min(when[aid2], w); } if(dsu[aid2].size() > dsu[aid1].size()) swap(aid1,aid2); if(aid1==aid2){ when[aid1] = min(when[aid1], w); return 0; } if(when[aid2]!=inf && when[aid1] == inf){ when[aid1] = w; } for(auto hd : dsu[aid2]){ aid[hd] = aid1; dsu[aid1].push_back(hd); nodeBelongs[hd].pb(mp(aid1, w)); } dsu[aid2].clear(); return 1; } }; bool srt(vector<ll>& a, vector<ll>& b){ return a[2] < b[2]; } void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) { ll n = N, m = M; vector<vector<ll> > edges; fori(m){ ll a = U[i], b = V[i], w = W[i]; if(a > b){ swap(a, b); } edges.pb(vector<ll>({a,b,w})); } sort(edges.begin(), edges.end(), srt); set<pair<ll,ll> > seen; dsu::init(n); for(auto& el : edges){ dsu::join(el[0], el[1], el[2]); } } int getMinimumFuelCapacity(int X, int Y) { ll x = X, y = Y; if(dsu::when[dsu::aid[x]] == inf ){ return -1; } ll cmp1 = x, cmp2 = y; ll pt1 = 0, pt2 = 0; int ans = 0; while( (cmp1 != cmp2) || (dsu::when[cmp1] == inf) ){ if(pt1 == (ll)dsu::nodeBelongs[x].size() ){ cmp2 = dsu::nodeBelongs[y][pt2].ff; ans = max(ans, dsu::nodeBelongs[y][pt2].ss); ++pt2; } else if(pt2 == (ll)dsu::nodeBelongs[y].size()){ cmp1 = dsu::nodeBelongs[x][pt1].ff; ans = max(ans, dsu::nodeBelongs[x][pt1].ss); ++pt1; } else if(dsu::nodeBelongs[x][pt1].ss <= dsu::nodeBelongs[y][pt2].ss){ cmp1 = dsu::nodeBelongs[x][pt1].ff; ans = max(ans, dsu::nodeBelongs[x][pt1].ss); ++pt1; } else{ cmp2 = dsu::nodeBelongs[y][pt2].ff; ans = max(ans, dsu::nodeBelongs[y][pt2].ss); ++pt2; } } ans = max(ans, dsu::when[cmp1]); return ans; } /* void deal(){ int n, m; cin>>n>>m; vector<int> u(m), v(m), w(m); fori(m){ cin>>u[i]; } fori(m){ cin>>v[i]; } fori(m){ cin>>w[i]; } init(n, m, u, v, w); ll q; cin>>q; forl(q){ ll ui, vi; cin>>ui>>vi; cout<<getMinimumFuelCapacity(ui, vi)<<'\n'; } } int main(){ cin.tie(0); ios_base::sync_with_stdio(0); deal(); } */
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