제출 #374630

#제출 시각아이디문제언어결과실행 시간메모리
374630JasiekstrzShortcut (IOI16_shortcut)C++17
23 / 100
2074 ms492 KiB
#include<bits/stdc++.h> #include "shortcut.h" #define fi first #define se second using namespace std; const int N=1e6; const long long INF=1e15; int w[N+10]; int dd[N+10]; long long pref[N+10]; long long suf[N+10]; long long mx[N+10]; long long tab[N+10][2]; inline bool check(int n,int c,long long x,int a,int b) { for(int i=1;i<=n;i++) { for(int j=i+1;j<=n;j++) { if(w[i]+w[j]+min({pref[j]-pref[i],abs(pref[j]-pref[a])+abs(pref[i]-pref[b])+c, abs(pref[i]-pref[a])+abs(pref[j]-pref[b])+c}) > x) return false; } } return true; } bool ok(int n,int c,long long x) { for(int i=1;i<=n;i++) { for(int j=i;j<=n;j++) { if(check(n,c,x,i,j)) return true; } } return false; } bool okk(int n,int c,long long x) { int i,j; long long mx1,mx2; for(i=1;i<=n;i++) { tab[i][0]=0; tab[i][1]=0; } mx1=mx2=-INF; for(i=1;i<=n;i++) mx[i]=max(mx[i-1],w[i]-pref[i]); for(i=n;i>=1;i--) { if(mx2-pref[i]+w[i]>x) { mx1=max(mx1,mx2+w[i]+pref[i]); tab[i][0]=max({tab[i][0],mx1-pref[i]+c-x,mx2+mx[i]+pref[i]+c-x}); } mx2=max(mx2,w[i]+pref[i]); } mx1=mx2=-INF; for(i=n;i>=1;i--) mx[i]=max(mx[i+1],w[i]-suf[i]); for(i=1;i<=n;i++) { if(mx2-suf[i]+w[i]>x) { mx1=max(mx1,mx2+w[i]+suf[i]); tab[i][1]=max({tab[i][1],mx1-suf[i]+c-x,mx2+mx[i]+suf[i]+c-x}); } mx2=max(mx2,w[i]+suf[i]); } vector<pair<long long,int>> tmp; for(i=1;i<=n;i++) tmp.push_back({tab[i][0],i}); sort(tmp.begin(),tmp.end()); j=1; for(auto v:tmp) { while(j<n && pref[j]<v.fi) j++; //cerr<<"l: "<<v.se<<" "<<j<<" ("<<v.fi<<")\n"; if(check(n,c,x,v.se,j)) return true; } tmp.clear(); for(i=1;i<=n;i++) tmp.push_back({tab[i][1],i}); sort(tmp.begin(),tmp.end()); j=n; for(auto v:tmp) { while(j>1 && suf[j]<v.fi) j--; //cerr<<"r: "<<v.se<<" "<<j<<" ("<<v.fi<<")\n"; if(check(n,c,x,v.se,j)) return true; } return false; } long long find_shortcut(int n,vector<int> l,vector<int> d,int c) { for(int i=0;i<n;i++) w[i+1]=d[i]; for(int i=0;i<n-1;i++) dd[i+2]=l[i]; for(int i=1;i<=n;i++) pref[i]=pref[i-1]+dd[i]; for(int i=n;i>=1;i--) suf[i]=suf[i+1]+dd[i+1]; long long bg,en,mid; bg=0; en=1e16; while(bg<en) { mid=(bg+en)/2; if(ok(n,c,mid)) en=mid; else bg=mid+1; } return bg; }
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