Submission #388630

#TimeUsernameProblemLanguageResultExecution timeMemory
388630alishahali1382Roller Coaster Railroad (IOI16_railroad)C++14
100 / 100
279 ms24580 KiB
#include "railroad.h" #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<int, int> pii; typedef pair<ll, int> pli; #define debug(x) {cerr<<#x<<"="<<x<<"\n";} #define debug2(x, y) {cerr<<#x<<", "<<#y<<" = "<<x<<", "<<y<<"\n";} #define pb push_back #define all(x) x.begin(), x.end() const int inf=1000000010; const ll INF=10000001000000000ll; const int MAXN=400010; int n, m, k; int S[MAXN], T[MAXN], ps[MAXN]; int par[MAXN]; bool mark[MAXN]; // ll dp[1<<16][16]; vector<int> comp; ll ans; int getpar(int x){ return (par[x]==x?x:par[x]=getpar(par[x]));} ll plan_roller_coaster(vector<int> s, vector<int> t){ n=s.size();/* if (n<=16){ for (int mask=1; mask<(1<<n); mask++){ int v=__builtin_ctz(mask); if (mask==(1<<v)) dp[mask][v]=0; else{ for (int v=0; v<n; v++) if (mask&(1<<v)){ dp[mask][v]=INF; for (int u=0; u<n; u++) if (u!=v && mask&(1<<u)) dp[mask][v]=min(dp[mask][v], dp[mask^(1<<v)][u] + max(0, t[u]-s[v])); } } } ll ans=INF; for (int i=0; i<n; i++) ans=min(ans, dp[(1<<n)-1][i]); return ans; }*/ for (int i=1; i<=n; i++) S[i]=s[i-1], T[i]=t[i-1]; S[0]=inf; T[0]=1; for (int i=0; i<=n; i++){ comp.pb(T[i]); comp.pb(S[i]); } sort(all(comp)); comp.resize(unique(all(comp))-comp.begin()); m=comp.size(); iota(par, par+m, 0); for (int i=0; i<=n; i++){ S[i]=lower_bound(all(comp), S[i])-comp.begin(); T[i]=lower_bound(all(comp), T[i])-comp.begin(); par[getpar(S[i])]=getpar(T[i]); // debug2(S[i], T[i]) ps[S[i]]++; ps[T[i]]--; } for (int i=1; i<m; i++) ps[i]+=ps[i-1]; for (int i=0; i+1<m; i++) if (ps[i]){ // debug2(i, comp[i]) par[getpar(i)]=getpar(i+1); if (ps[i]>0) ans+=1ll*ps[i]*(comp[i+1]-comp[i]); } // debug(ans) vector<pair<ll, pii>> E; for (int i=0; i<=n; i++) mark[getpar(S[i])]=1; int last=-1; for (int i=0; i<m; i++) if (mark[getpar(i)]){ if (last!=-1) E.pb({comp[i]-comp[last], {i, last}}); last=i; } sort(all(E)); for (auto p:E){ int x=getpar(p.second.first), y=getpar(p.second.second); if (x!=y){ par[x]=y; ans+=p.first; } } return ans; }
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