Submission #149475

#	Time	Username	Problem	Language	Result	Execution time	Memory
149475		还没编好 (#200)	Organizing the Best Squad (FXCUP4_squad)	C++17	28 / 100	3109 ms	524288 KiB

squad

#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<ll,ll> 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());
	p.erase(unique(p.begin(),p.end()),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]);
}
struct fs
{
ll a,b;
fs() {}
fs(ll p,ll q)
{
	if(q==0) a=-2.01e9,b=1;
	else
	{
		if(q<0) q=-q,p=-p;
		a=p,b=q;
	}
}
};
bool operator < (fs a,fs b)
{
	return a.a*b.b<b.a*a.b;
}
vector<pair<fs,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_hull(op);
//	for(auto w:op)
//		cout<<w.fi<<","<<w.se<<" ";
//	cout<<"\n";
	for(int j=0;j<op.size();++j)
	{
		pll P=op[j],Q=op[(j+1)%op.size()];
		pll t=P;
		if(t.fi<=Q.fi&&t.se<=Q.se) t=Q;
		sb.pb(mp(fs(Q.se-P.se,Q.fi-P.fi),t));
	}
	sort(sb.begin(),sb.end());
}

long long BestSquad(int X, int Y){
	auto w=lower_bound(sb.begin(),sb.end(),mp(fs(-X,Y),pll(0,0)));
	for(int j=1;j<=8&&w!=sb.begin();++j)
		--w;
	ll mx=0;
	for(int j=0;j<6&&j<sb.size();++j)
		mx=max(mx,sb[j].se.fi*(ll)X+sb[j].se.se*(ll)Y);
//	for(int w=0,j=sb.size()-1;w<5&&w<sb.size();++w,--j)
//		mx=max(mx,sb[j].se.fi*(ll)X+sb[j].se.se*(ll)Y);
	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

Compilation message (stderr)

squad.cpp: In function 'void Init(std::vector<int>, std::vector<int>, std::vector<int>)':
squad.cpp:158:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int j=0;j<op.size();++j)
              ~^~~~~~~~~~
squad.cpp: In function 'long long int BestSquad(int, int)':
squad.cpp:173:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int j=0;j<6&&j<sb.size();++j)
                   ~^~~~~~~~~~

• Subtask 1: 0 / 19
• Subtask 2: 28 / 28
• Subtask 3: 0 / 53