oj.uz

Submission #421144

# Submission time Handle Problem Language Result Execution time Memory
421144 2021-06-08T19:04:08 Z Pyqe Izvanzemaljci (COI21_izvanzemaljci) C++14
56 / 100
 3000 ms 25472 KB 
#include <bits/stdc++.h>

using namespace std;

#define mp make_pair
#define fr first
#define sc second

const long long ma=1e9,inf=1e18;
long long n,d,nn,nm[2],sk[2][100069];
pair<long long,long long> a[4][100069],as[4][100069],a2[100069];
pair<long long,array<long long,2>> rg[100069];
pair<pair<long long,long long>,long long> ca[3],sq[3];
bitset<100069> vtd;
array<long long,2> a0={-inf,-inf};

struct segtree
{
	long long l,r,lz;
	pair<long long,long long> mxe;
	segtree *p[2];
	
	void bd(long long lh,long long rh)
	{
		l=lh;
		r=rh;
		if(l<r)
		{
			long long ii,md=(l+r)/2;
			
			for(ii=0;ii<2;ii++)
			{
				p[ii]=new segtree;
				p[ii]->bd(!ii?l:md+1,!ii?md:r);
			}
		}
	}
	void rst()
	{
		lz=0;
		if(l==r)
		{
			mxe={-rg[l-1].fr-1,l};
		}
		else
		{
			long long ii;
			
			for(ii=0;ii<2;ii++)
			{
				p[ii]->rst();
			}
			mxe=max(p[0]->mxe,p[1]->mxe);
		}
	}
	void blc()
	{
		long long ii;
		
		for(ii=0;ii<2;ii++)
		{
			p[ii]->mxe.fr+=lz;
			p[ii]->lz+=lz;
		}
		lz=0;
	}
	void ud(long long lh,long long rh,long long w)
	{
		if(l>rh||r<lh);
		else if(l>=lh&&r<=rh)
		{
			mxe.fr+=w;
			lz+=w;
		}
		else
		{
			long long ii;
			
			blc();
			for(ii=0;ii<2;ii++)
			{
				p[ii]->ud(lh,rh,w);
			}
			mxe=max(p[0]->mxe,p[1]->mxe);
		}
	}
	pair<long long,long long> qr(long long lh,long long rh)
	{
		if(l>rh||r<lh)
		{
			return {-inf,-1};
		}
		else if(l>=lh&&r<=rh)
		{
			return mxe;
		}
		else
		{
			blc();
			return max(p[0]->qr(lh,rh),p[1]->qr(lh,rh));
		}
	}
}
sg;

int main()
{
	long long i,j,ii,im,u,x,y,x2,y2,k,l,w,p,mn,mx,mn2,lb,rb,lh,rh,md,c=0;
	pair<long long,long long> tmp;
	bool bad;
	
	scanf("%lld%lld",&n,&d);
	for(i=1;i<=n;i++)
	{
		scanf("%lld%lld",&x,&y);
		a[0][i]={x,y};
	}
	for(im=0;im<4;im++)
	{
		sort(a[im]+1,a[im]+n+1);
		for(i=1;i<=n;i++)
		{
			as[im][i]={a[im][i].sc,i};
		}
		sort(as[im]+1,as[im]+n+1);
		if(im<3)
		{
			for(i=1;i<=n;i++)
			{
				x=a[im][i].fr;
				y=a[im][i].sc;
				a[im+1][i]={y,-x};
			}
		}
	}
	sg.bd(1,n);
	for(lh=1,rh=ma*2;lh<=rh;)
	{
		md=(lh+rh)/2;
		bad=0;
		for(im=0;im<4;im++)
		{
			if(d==1)
			{
				if(!im)
				{
					mn=inf;
					mx=-inf;
					mn2=inf;
					for(i=1;i<=n;i++)
					{
						x=a[im][i].fr;
						y=a[im][i].sc;
						mn=min(mn,y);
						mx=max(mx,y);
						if(mx-mn>md||x-a[im][1].fr>md)
						{
							break;
						}
						mn2=mn;
					}
					if(i>n)
					{
						bad=1;
						sq[0]={{a[im][1].fr,mn2},md};
					}
				}
			}
			else if(d==2)
			{
				if(im<2)
				{
					l=0;
					for(ii=0;ii<2;ii++)
					{
						mn=inf;
						mx=-inf;
						k=l;
						mn2=inf;
						for(i=l+1;i<=n;i++)
						{
							x=a[im][i].fr;
							y=a[im][i].sc;
							mn=min(mn,y);
							mx=max(mx,y);
							if(mx-mn>md||x-a[im][l+1].fr>md)
							{
								break;
							}
							if(i==n||x!=a[im][i+1].fr)
							{
								k=i;
								mn2=mn;
							}
						}
						if(!ii)
						{
							ca[ii]={{a[im][k].fr-md,mn2},md};
						}
						else
						{
							ca[ii]={{a[im][l+1].fr,mn2},md};
						}
						l=k;
					}
					if(i>n)
					{
						bad=1;
						for(j=0;j<d;j++)
						{
							sq[j]=ca[j];
						}
					}
				}
			}
			else
			{
				mn=inf;
				mx=-inf;
				k=0;
				mn2=inf;
				vtd.reset();
				for(i=1;i<=n;i++)
				{
					p=as[im][i].sc;
					x=a[im][p].fr;
					y=a[im][p].sc;
					mn=min(mn,x);
					mx=max(mx,x);
					if(mx-mn>md||y-as[im][1].fr>md)
					{
						break;
					}
					if(i==n||y!=as[im][i+1].fr)
					{
						mn2=mn;
						for(;k<i;)
						{
							k++;
							vtd[as[im][k].sc]=1;
						}
					}
				}
				ca[0]={{mn2,as[im][k].fr-md},md};
				nn=0;
				for(i=1;i<=n;i++)
				{
					if(!vtd[i])
					{
						nn++;
						a2[nn]=a[im][i];
					}
				}
				l=0;
				for(ii=0;ii<2;ii++)
				{
					mn=inf;
					mx=-inf;
					k=l;
					mn2=inf;
					for(i=l+1;i<=nn;i++)
					{
						x=a2[i].fr;
						y=a2[i].sc;
						mn=min(mn,y);
						mx=max(mx,y);
						if(mx-mn>md||x-a2[l+1].fr>md)
						{
							break;
						}
						if(i==nn||x!=a2[i+1].fr)
						{
							k=i;
							mn2=mn;
						}
					}
					if(!ii)
					{
						ca[ii+1]={{a2[k].fr-md,mn2},md};
					}
					else
					{
						ca[ii+1]={{a2[l+1].fr,mn2},md};
					}
					l=k;
				}
				if(i>nn)
				{
					bad=1;
					for(j=0;j<d;j++)
					{
						sq[j]=ca[j];
					}
				}
				if(im<2)
				{
					nn=0;
					rg[0].fr=-ma*4;
					for(i=1;i<=n;i++)
					{
						x=a[im][i].fr;
						y=a[im][i].sc;
						if(!nn||x!=rg[nn].fr)
						{
							nn++;
							rg[nn]={x,{y,y}};
						}
						else
						{
							rg[nn].sc[0]=min(rg[nn].sc[0],y);
							rg[nn].sc[1]=max(rg[nn].sc[1],y);
						}
					}
					rg[nn+1].fr=ma*4;
					mn=inf;
					mx=-inf;
					for(i=1;i<=nn;i++)
					{
						x=rg[i].fr;
						y=rg[i].sc[0];
						y2=rg[i].sc[1];
						mn=min(mn,y);
						mx=max(mx,y2);
						if(mx-mn>md||x-rg[1].fr>md)
						{
							break;
						}
					}
					lb=i-1;
					mn=inf;
					mx=-inf;
					for(i=nn;i;i--)
					{
						x=rg[i].fr;
						y=rg[i].sc[0];
						y2=rg[i].sc[1];
						mn=min(mn,y);
						mx=max(mx,y2);
						if(mx-mn>md||rg[nn].fr-x>md)
						{
							break;
						}
					}
					rb=i+1;
					sg.rst();
					for(ii=0;ii<2;ii++)
					{
						nm[ii]=0;
					}
					for(i=1;i<=nn;i++)
					{
						x=rg[i].fr;
						y=rg[i].sc[0];
						y2=rg[i].sc[1];
						for(ii=0;ii<2;ii++)
						{
							u=!ii*2-1;
							for(;nm[ii]&&rg[sk[ii][nm[ii]]].sc[ii]*u>=y*u;nm[ii]--)
							{
								sg.ud(sk[ii][nm[ii]-1]+1,sk[ii][nm[ii]],-abs(y-rg[sk[ii][nm[ii]]].sc[ii]));
							}
							nm[ii]++;
							sk[ii][nm[ii]]=i;
							swap(y,y2);
						}
						sg.ud(i,i,y-y2);
						if(i+1>=rb)
						{
							x2=min(rg[i+1].fr-1,x+md);
							k=lower_bound(rg+1,rg+nn+1,mp(x2-md,a0))-rg;
							l=upper_bound(rg+1,rg+nn+1,mp(x2-1,a0))-rg-1;
							tmp=sg.qr(k+1,min(l,lb+1));
							if(x2+tmp.fr>=0)
							{
								lb=tmp.sc-1;
								rb=i+1;
								break;
							}
							tmp=sg.qr(k,min(k,lb+1));
							if(md+tmp.fr+rg[k-1].fr+1>=0)
							{
								lb=k-1;
								rb=i+1;
								break;
							}
						}
					}
					if(i<=nn)
					{
						bad=1;
						mn=inf;
						for(i=1;i<=lb;i++)
						{
							x=rg[i].fr;
							y=rg[i].sc[0];
							mn=min(mn,y);
						}
						sq[0]={{x-md,mn},md};
						mn=inf;
						for(i=nn;i>=rb;i--)
						{
							x=rg[i].fr;
							y=rg[i].sc[0];
							mn=min(mn,y);
						}
						sq[1]={{x,mn},md};
						mn=inf;
						for(i=lb+1;i<rb;i++)
						{
							y=rg[i].sc[0];
							mn=min(mn,y);
						}
						x=min(rg[rb].fr-1,rg[rb-1].fr+md);
						x2=max(rg[lb].fr+1,x-md);
						sq[2]={{x2,mn},x-x2};
					}
				}
			}
			for(i=0;i<d;i++)
			{
				x=sq[i].fr.fr;
				y=sq[i].fr.sc;
				w=sq[i].sc;
				sq[i].fr={y,-x-w};
			}
		}
		if(bad)
		{
			rh=md-1;
		}
		else
		{
			lh=md+1;
		}
	}
	for(i=0;i<d;i++)
	{
		x=sq[i].fr.fr;
		y=sq[i].fr.sc;
		w=sq[i].sc;
		if(x<-ma*3||y<-ma*3||x>ma*3||y>ma*3)
		{
			x=ma*3;
			y=ma*3-c*2;
			w=1;
			c++;
		}
		printf("%lld %lld %lld\n",x,y,w);
	}
}

Compilation message

izvanzemaljci.cpp: In function 'int main()':
izvanzemaljci.cpp:112:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  112 |  scanf("%lld%lld",&n,&d);
      |  ~~~~~^~~~~~~~~~~~~~~~~~
izvanzemaljci.cpp:115:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  115 |   scanf("%lld%lld",&x,&y);
      |   ~~~~~^~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 116 ms 25284 KB Output is correct
8 Correct 115 ms 25280 KB Output is correct
9 Correct 115 ms 25312 KB Output is correct
10 Correct 115 ms 25260 KB Output is correct
11 Correct 117 ms 25308 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 121 ms 25288 KB Output is correct
11 Correct 119 ms 25284 KB Output is correct
12 Correct 122 ms 25472 KB Output is correct
13 Correct 126 ms 25248 KB Output is correct
14 Correct 119 ms 25304 KB Output is correct
15 Correct 132 ms 25320 KB Output is correct
16 Correct 138 ms 25288 KB Output is correct
17 Correct 104 ms 23108 KB Output is correct
18 Correct 100 ms 22356 KB Output is correct
19 Correct 114 ms 20408 KB Output is correct
20 Correct 99 ms 21828 KB Output is correct
21 Correct 117 ms 25312 KB Output is correct
22 Correct 116 ms 25284 KB Output is correct
23 Correct 122 ms 25416 KB Output is correct

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Incorrect 1 ms 332 KB Output isn't correct
10 Halted 0 ms 0 KB -

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 588 KB Output is correct
2 Correct 37 ms 652 KB Output is correct
3 Correct 37 ms 588 KB Output is correct
4 Correct 41 ms 588 KB Output is correct
5 Correct 35 ms 676 KB Output is correct
6 Correct 35 ms 652 KB Output is correct
7 Correct 42 ms 648 KB Output is correct
8 Correct 35 ms 588 KB Output is correct
9 Correct 36 ms 588 KB Output is correct
10 Correct 35 ms 588 KB Output is correct
11 Correct 35 ms 588 KB Output is correct
12 Correct 37 ms 652 KB Output is correct
13 Correct 34 ms 588 KB Output is correct
14 Correct 32 ms 632 KB Output is correct
15 Correct 33 ms 588 KB Output is correct
16 Correct 34 ms 628 KB Output is correct
17 Correct 30 ms 588 KB Output is correct
18 Correct 29 ms 620 KB Output is correct
19 Correct 31 ms 588 KB Output is correct
20 Correct 29 ms 588 KB Output is correct
21 Correct 33 ms 588 KB Output is correct
22 Correct 28 ms 640 KB Output is correct
23 Correct 27 ms 624 KB Output is correct
24 Correct 28 ms 588 KB Output is correct

Subtask #5
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 588 KB Output is correct
2 Correct 35 ms 588 KB Output is correct
3 Correct 37 ms 588 KB Output is correct
4 Correct 35 ms 588 KB Output is correct
5 Correct 35 ms 588 KB Output is correct
6 Correct 36 ms 588 KB Output is correct
7 Correct 37 ms 588 KB Output is correct
8 Correct 35 ms 588 KB Output is correct
9 Correct 34 ms 652 KB Output is correct
10 Correct 43 ms 588 KB Output is correct
11 Correct 38 ms 652 KB Output is correct
12 Correct 34 ms 672 KB Output is correct
13 Correct 35 ms 672 KB Output is correct
14 Execution timed out 3063 ms 22724 KB Time limit exceeded
15 Halted 0 ms 0 KB -