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#pragma GCC optimize("-Ofast","-funroll-all-loops","-ffast-math")
#include "squad.h"
#include <iostream>
#include <stdio.h>
#include <math.h>
#include <string.h>
#include <time.h>
#include <stdlib.h>
#include <string>
#include <bitset>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <algorithm>
#include <sstream>
#include <stack>
#include <iomanip>
#include <assert.h>
using namespace std;
#define pb push_back
#define mp make_pair
typedef pair<int,int> pii;
typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
#define fi first
#define se second
#define fe first
#define FO(x) {freopen(#x".in","r",stdin);freopen(#x".out","w",stdout);}
#define Edg int M=0,fst[SZ],vb[SZ],nxt[SZ];void ad_de(int a,int b){++M;nxt[M]=fst[a];fst[a]=M;vb[M]=b;}void adde(int a,int b){ad_de(a,b);ad_de(b,a);}
#define Edgc int M=0,fst[SZ],vb[SZ],nxt[SZ],vc[SZ];void ad_de(int a,int b,int c){++M;nxt[M]=fst[a];fst[a]=M;vb[M]=b;vc[M]=c;}void adde(int a,int b,int c){ad_de(a,b,c);ad_de(b,a,c);}
#define es(x,e) (int e=fst[x];e;e=nxt[e])
#define esb(x,e,b) (int e=fst[x],b=vb[e];e;e=nxt[e],b=vb[e])
#define SZ 1111111
typedef pair<int,int> pll;
ll operator * (pll a,pll b)
{
return a.fi*(ll)b.se-(ll)a.se*b.fi;
}
pll operator - (pll a,pll b)
{
return pll(a.fi-b.fi,a.se-b.se);
}
pll operator + (pll a,pll b)
{
return pll(a.fi+b.fi,a.se+b.se);
}
vector<pll> convex_hull(vector<pll> p)
{
stable_sort(p.begin(),p.end());
if(p.size()<=2) return p;
vector<pll> h;
for(int r=0;r<2;++r)
{
int l=h.size();
for(auto x:p)
{
while((int)h.size()>l+1&&
(h[h.size()-1]-h[h.size()-2])
*(x-h[h.size()-2])<=0) h.pop_back();
h.pb(x);
}
h.pop_back();
reverse(p.begin(),p.end());
}
return h;
}
vector<pll> convex_hull2(vector<pll> pp)
{
stable_sort(pp.begin(),pp.end());
vector<pll> p; int cm=-2e9;
for(int j=int(pp.size())-1;j>=0;--j)
{
if(pp[j].se<=cm) continue;
cm=max(cm,pp[j].se);
p.pb(pp[j]);
}
reverse(p.begin(),p.end());
if(p.size()<=2) return p;
vector<pll> h;
for(int r=0;r<2;++r)
{
int l=h.size();
for(auto x:p)
{
while((int)h.size()>l+1&&
(h[h.size()-1]-h[h.size()-2])
*(x-h[h.size()-2])<=0) h.pop_back();
h.pb(x);
}
h.pop_back();
reverse(p.begin(),p.end());
}
return h;
}
vector<pll> su(const vector<pll>& aa,const vector<pll>& bb)
{
// vector<pll> g;
// for(auto x:aa)
// for(auto y:bb) g.pb(y+x);
// g=convex_hull(g);
// return g;
static pll ans[SZ],a[SZ],b[SZ];
int top,top1=aa.size(),top2=bb.size();
for(int i=1;i<top1;++i) a[i]=aa[i]-aa[i-1];
for(int i=1;i<top2;++i) b[i]=bb[i]-bb[i-1];
a[top1]=aa[0]-aa[top1-1];
b[top2]=bb[0]-bb[top2-1];
//for(int i=1;i<=top1;i++)a[i]=stack1[i+1]-stack1[i];
//for(int i=1;i<=top2;i++)b[i]=stack2[i+1]-stack2[i];
ans[top=1]=aa[0]+bb[0];
int now1=1,now2=1;
while(now1<=top1&&now2<=top2)
top++,ans[top]=ans[top-1]+
((a[now1]*b[now2])>=0?a[now1++]:b[now2++]);
while(now1<=top1)top++,ans[top]=ans[top-1]+a[now1++];
while(now2<=top2)top++,ans[top]=ans[top-1]+b[now2++];
top--;
vector<pll> oo;
for(int i=1;i<=top;++i) oo.pb(ans[i]);
return oo;
}
int n,a[SZ],d[SZ],p[SZ];
vector<pll> op;
vector<pll> oa[SZ],ob[SZ];
void go(int l,int r,int i=1)
{
if(l>=r)
{
for(int t=l;t<=r;++t)
oa[i].pb(pll(a[t],p[t])),
ob[i].pb(pll(d[t],p[t]));
return;
}
int m=(l+r)>>1;
go(l,m,i*2); go(m+1,r,i*2+1);
vector<pll> &A=oa[i*2],&B=ob[i*2],&C=oa[i*2+1],&D=ob[i*2+1];
// vector<pll> A(m-l+1),B(m-l+1),C(r-m),D(r-m);
// for(int i=l;i<=m;++i)
// A[i-l]=(pll(a[i],p[i])),
// B[i-l]=(pll(d[i],p[i]));
// for(int i=m+1;i<=r;++i)
// C[i-m-1]=(pll(a[i],p[i])),
// D[i-m-1]=(pll(d[i],p[i]));
#define CH(w) w=convex_hull(w)
CH(A);CH(B);CH(C);CH(D);
// cout<<A.size()<<"w"<<B.size()<<"w"<<C.size()<<"w"<<D.size()<<"\n";
for(auto t:su(A,D)) op.pb(t);
for(auto t:su(B,C)) op.pb(t);
for(auto t:C) A.pb(t);
for(auto t:D) B.pb(t);
swap(A,oa[i]);
swap(B,ob[i]);
}
vector<pair<ld,pll>> sb;
void Init(std::vector<int> A, std::vector<int> D, std::vector<int> P){
n=A.size();
for(int i=0;i<n;++i) a[i]=A[i],d[i]=D[i],p[i]=P[i];
go(0,n-1);
// for(auto u:op) cout<<u.fi<<","<<u.se<<"!";
// cout<<"\n";
op=convex_hull2(op);
for(int j=0;j<op.size();++j)
{
pll P=op[j],Q=op[(j+1)%op.size()];
if(P==Q) sb.pb(mp((ld)0,P));
else sb.pb(mp((Q.se-P.se)/ld(Q.fi-P.fi),P));
}
sort(sb.begin(),sb.end());
}
long long BestSquad(int X, int Y){
auto w=lower_bound(sb.begin(),sb.end(),mp(-X/ld(Y),pll(0,0)));
for(int j=1;j<=8&&w!=sb.begin();++j)
--w;
ll mx=0;
for(int j=1;j<=16&&w!=sb.end();++j)
{
mx=max(mx,X*(ll)w->se.fi+Y*(ll)w->se.se);
++w;
}
return mx;
}
#ifdef LOCAL
#include "grader.cpp"
#endif
컴파일 시 표준 에러 (stderr) 메시지
squad.cpp: In function 'void Init(std::vector<int>, std::vector<int>, std::vector<int>)':
squad.cpp:164:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int j=0;j<op.size();++j)
~^~~~~~~~~~
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