Submission #125825

# Submission time Handle Problem Language Result Execution time Memory
125825 2019-07-06T12:11:42 Z faustaadp trapezoid (balkan11_trapezoid) C++17
70 / 100
455 ms 41276 KB
#include<bits/stdc++.h>
typedef long long ll;
#define pb push_back
#define mp make_pair
#define fi first
#define se second
using namespace std;
int n,i,ta,tb,tc,td,j,h1,h2,d[101010],d2[101010],mo=30013,K,ST[808080],ST2[808080],D[101010],LZ[808080];
vector<int> v[101010],z;
pair<pair<int,int>,pair<int,int> > A[101010];
map<int,int> me;
int depe(int aa)
{
	if(d[aa]==-1)
	{
		d[aa]=0;
		int ii;
		for(ii=0;ii<v[aa].size();ii++)
			d[aa]=max(d[aa],depe(v[aa][ii]));
		d[aa]++;
	}
	return d[aa];
}
int depe2(int aa)
{
	if(depe(aa)==1)return 1;
	if(d2[aa]==-1)
	{
		d2[aa]=0;
		int ii;
		for(ii=0;ii<v[aa].size();ii++)
			if(depe(aa)==depe(v[aa][ii])+1)
				d2[aa]=(d2[aa]+depe2(v[aa][ii]))%mo;
	}
	return d2[aa];
}
void upd(ll aa,ll bb,ll cc,ll dd,ll ee,ll ff)
{
	if(LZ[ee])
	{
		if(aa<bb)
		{
			LZ[ee*2]=1;
			LZ[ee*2+1]=1;
		}
		LZ[ee]=0;
		ST2[ee]=0;
	}
	if(aa==bb)
	{
		ST[ee]=dd;
		ST2[ee]+=ff;
		ST2[ee]%=mo;
	}
	else
	{
		ll ce=(aa+bb)/2;
		if(cc<=ce)
			upd(aa,ce,cc,dd,ee*2,ff);
		else
			upd(ce+1,bb,cc,dd,ee*2+1,ff);
		ST[ee]=max(ST[ee*2],ST[ee*2+1]);
		ST2[ee]=(ST2[ee*2]+ST2[ee*2+1])%mo;
	}
}
ll que(ll aa,ll bb,ll cc,ll dd,ll ee)
{
	if(bb<cc||dd<aa)return 0;
	else
	if(cc<=aa&&bb<=dd)return ST[ee];
	else
	{
		ll ce=(aa+bb)/2;
		return max(que(aa,ce,cc,dd,ee*2),que(ce+1,bb,cc,dd,ee*2+1));
	}
}
ll que2(ll aa,ll bb,ll cc,ll dd,ll ee)
{
	if(LZ[ee])
	{
		if(aa<bb)
		{
			LZ[ee*2]=1;
			LZ[ee*2+1]=1;
		}
		LZ[ee]=0;
		ST2[ee]=0;
	}
	if(bb<cc||dd<aa)return 0;
	else
	if(cc<=aa&&bb<=dd)return ST2[ee];
	else
	{
		ll ce=(aa+bb)/2;
		return ((que2(aa,ce,cc,dd,ee*2)+que2(ce+1,bb,cc,dd,ee*2+1))%mo);
	}
}
void kos(ll aa,ll bb,ll cc,ll dd,ll ee)
{
	if(LZ[ee])
	{
		if(aa<bb)
		{
			LZ[ee*2]=1;
			LZ[ee*2+1]=1;
		}
		LZ[ee]=0;
		ST2[ee]=0;
	}
	if(bb<cc||dd<aa)return ;
	else
	if(cc<=aa&&bb<=dd)
	{
		ST2[ee]=0;
		if(aa<bb)
		{
			LZ[ee*2]=0;
			LZ[ee*2+1]=0;
		}
	}
	else
	{
		ll ce=(aa+bb)/2;
		kos(aa,ce,cc,dd,ee*2);
		kos(ce+1,bb,cc,dd,ee*2+1);
		ST2[ee]=(ST2[ee*2]+ST2[ee*2+1])%mo;
	}
}
int main()
{
	ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	cin>>n;
	K=n*2;
	for(i=1;i<=n;i++)
	{
		cin>>ta>>tb>>tc>>td;
		A[i]=mp(mp(ta,tb),mp(tc,td));
		z.pb(tc);
		z.pb(td+1);
	}
	sort(z.begin(),z.end());
	for(i=0;i<z.size();i++)
		me[z[i]]=i+1;
	if(n<=20000&&n>5000)
	{
		sort(A+1,A+1+n);
		for(i=1;i<=n;i++)
		{
			int L=i+1,R=n,C,H=0;
			while(L<=R)
			{
				C=(L+R)/2;
				if(A[i].fi.se<A[C].fi.fi)
				{
					H=C;
					R=C-1;
				}
				else
					L=C+1;
			}
			if(H)
				v[H].pb(i);
		}
		//return 0;
		for(i=n;i>=1;i--)d[i]=1;
		for(i=n;i>=1;i--)d2[i]=1;
		for(i=n;i>=1;i--)
		{
			if(que(1,K,me[A[i].se.fi],K,1)<=d[i])
			{
				ll L=1,R=me[A[i].se.fi],C,H=-1;
				while(L<=R)
				{
					C=(L+R)/2;
					if(que(1,K,C,me[A[i].se.fi],1)<d[i])
					{
						H=C;
						R=C-1;
					}
					else
						L=C+1;
				}
				for(j=i;j<=n;j++)
					if(A[j].se.fi<A[i].se.fi&&d[j]<d[i])
						kos(1,K,me[A[j].se.fi],me[A[j].se.fi],1);
				//if(H!=-1)
				//	kos(1,K,H,me[A[i].se.fi],1);
				//cout<<i<<" "<<me[A[i].se.fi]<<" "<<H<<"_\n";
				//cout<<"upd "<<i<<" "<<me[A[i].se.fi]<<" "<<d[i]<<"___\n";
				upd(1,K,me[A[i].se.fi],d[i],1,d2[i]);
			}
			for(j=0;j<v[i].size();j++)
			{
				int now=v[i][j];
				d[now]=que(1,K,me[A[now].se.se+1],K,1)+1;
				ll L=me[A[now].se.se+1],R=K,C,H=0;
				while(L<=R)
				{
					C=(L+R)/2;
					if(que(1,K,me[A[now].se.se+1],C,1)+1==d[now])
					{
						H=C;
						R=C-1;
					}
					else
						L=C+1;
				}
				L=H,R=K;
				ll H2=K;
				while(L<=R)
				{
					C=(L+R)/2;
					if((que(1,K,C,K,1)+1)!=d[now])
					{
						H2=C-1;
						R=C-1;
					}
					else
						L=C+1;
				}
				if(d[now]==1)d2[now]=1;
				else
				{
			//		cout<<now<<"___ "<<H<<" "<<H2<<"@\n";
					d2[now]=que2(1,K,H,H2,1);
				}
			}
		//	cout<<i<<" "<<d[i]<<" "<<d2[i]<<"\n";
			h1=max(h1,d[i]);
		}
	//	cout<<"A";
		for(i=1;i<=n;i++)
			if(h1==d[i])
				h2=(h2+d2[i])%mo;
	}
	else
	if(n>5000)
	{
		sort(A+1,A+1+n);
		for(i=1;i<=n;i++)
		{
			int L=i+1,R=n,C,H=0;
			while(L<=R)
			{
				C=(L+R)/2;
				if(A[i].fi.se<A[C].fi.fi)
				{
					H=C;
					R=C-1;
				}
				else
					L=C+1;
			}
			if(H)
				v[H].pb(i);
		}
		//return 0;
		for(i=n;i>=1;i--)d[i]=1;
		for(i=n;i>=1;i--)d2[i]=1;
		for(i=n;i>=1;i--)
		{
			if(que(1,K,me[A[i].se.fi],K,1)<=d[i])
			{
				upd(1,K,me[A[i].se.fi],d[i],1,d2[i]);
			}
			for(j=0;j<v[i].size();j++)
			{
				int now=v[i][j];
				d[now]=que(1,K,me[A[now].se.se+1],K,1)+1;
			}
		//	cout<<i<<" "<<d[i]<<" "<<d2[i]<<"\n";
			h1=max(h1,d[i]);
		}
	//	cout<<"A";
		for(i=1;i<=n;i++)
			if(h1==d[i])
				h2=(h2+d2[i])%mo;
	}
	else
	{
		for(i=1;i<=n;i++)
			for(j=1;j<=n;j++)
				if(A[i].fi.se<A[j].fi.fi&&A[i].se.se<A[j].se.fi)
					v[i].pb(j);
		memset(d,-1,sizeof(d));
		memset(d2,-1,sizeof(d2));
		for(i=1;i<=n;i++)
			h1=max(h1,depe(i));
		for(i=1;i<=n;i++)
			if(depe(i)==h1)
				h2=(h2+depe2(i))%mo;
	}
	cout<<h1<<" "<<h2<<"\n";	
}

Compilation message

trapezoid.cpp: In function 'int depe(int)':
trapezoid.cpp:18:14: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(ii=0;ii<v[aa].size();ii++)
            ~~^~~~~~~~~~~~~
trapezoid.cpp: In function 'int depe2(int)':
trapezoid.cpp:31:14: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(ii=0;ii<v[aa].size();ii++)
            ~~^~~~~~~~~~~~~
trapezoid.cpp: In function 'int main()':
trapezoid.cpp:142:11: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(i=0;i<z.size();i++)
          ~^~~~~~~~~
trapezoid.cpp:171:31: warning: variable 'H' set but not used [-Wunused-but-set-variable]
     ll L=1,R=me[A[i].se.fi],C,H=-1;
                               ^
trapezoid.cpp:192:13: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(j=0;j<v[i].size();j++)
            ~^~~~~~~~~~~~
trapezoid.cpp:266:13: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(j=0;j<v[i].size();j++)
            ~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 3448 KB Output is correct
2 Correct 5 ms 3576 KB Output is correct
3 Correct 9 ms 4088 KB Output is correct
4 Correct 17 ms 6136 KB Output is correct
5 Correct 43 ms 12024 KB Output is correct
6 Correct 98 ms 23800 KB Output is correct
7 Correct 169 ms 41276 KB Output is correct
8 Correct 133 ms 15832 KB Output is correct
9 Correct 455 ms 4540 KB Output is correct
10 Correct 253 ms 6520 KB Output is correct
11 Partially correct 61 ms 7160 KB Partially correct
12 Partially correct 128 ms 11380 KB Partially correct
13 Partially correct 164 ms 12916 KB Partially correct
14 Partially correct 205 ms 16404 KB Partially correct
15 Partially correct 211 ms 16360 KB Partially correct
16 Partially correct 228 ms 17136 KB Partially correct
17 Partially correct 249 ms 18284 KB Partially correct
18 Partially correct 206 ms 18160 KB Partially correct
19 Partially correct 274 ms 19052 KB Partially correct
20 Partially correct 307 ms 19816 KB Partially correct