Submission #125970

# Submission time Handle Problem Language Result Execution time Memory
125970 2019-07-06T15:30:12 Z faustaadp trapezoid (balkan11_trapezoid) C++17
45 / 100
500 ms 19440 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]!=-1)
	{
		if(aa<bb)
		{
			LZ[ee*2]=LZ[ee];
			LZ[ee*2+1]=LZ[ee];
		}
		ST2[ee]=0;
		ST[ee]=LZ[ee];
		LZ[ee]=-1;
	}
	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(LZ[ee]!=-1)
	{
		if(aa<bb)
		{
			LZ[ee*2]=LZ[ee];
			LZ[ee*2+1]=LZ[ee];
		}
		ST2[ee]=0;
		ST[ee]=LZ[ee];
		LZ[ee]=-1;
	}
	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]!=-1)
	{
		if(aa<bb)
		{
			LZ[ee*2]=LZ[ee];
			LZ[ee*2+1]=LZ[ee];
		}
		ST2[ee]=0;
		ST[ee]=LZ[ee];
		LZ[ee]=-1;
	}
	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,ll ff)
{
	if(LZ[ee]!=-1)
	{
		if(aa<bb)
		{
			LZ[ee*2]=LZ[ee];
			LZ[ee*2+1]=LZ[ee];
		}
		ST2[ee]=0;
		ST[ee]=LZ[ee];
		LZ[ee]=-1;
	}
	if(bb<cc||dd<aa)return ;
	else
	if(cc<=aa&&bb<=dd)
	//if(aa==bb)
	{
		ST2[ee]=0;
		ST[ee]=ff;
		if(aa<bb)
		{
			LZ[ee*2]=ff;
			LZ[ee*2+1]=ff;
		}
	}
	else
	{
		ll ce=(aa+bb)/2;
		kos(aa,ce,cc,dd,ee*2,ff);
		kos(ce+1,bb,cc,dd,ee*2+1,ff);
		ST2[ee]=(ST2[ee*2]+ST2[ee*2+1])%mo;
		ST[ee]=max(ST[ee*2],ST[ee*2+1]);
	}
}
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(1)
	{
		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;
		memset(LZ,-1,sizeof(LZ));
		for(i=n;i>=1;i--)
		{
			if(que(1,K,me[A[i].se.fi],K,1)<=d[i])
			{
				ll L=K+1,R=me[A[i].se.fi],C,H=-1;
				R=0;
				//L=1e18;
				//R=-1e18;
				// 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&&que(1,K,me[A[j].se.fi],me[A[j].se.fi],1)<d[i]&&(que2(1,K,me[A[j].se.fi],me[A[j].se.fi],1)>0))
					{
						L=min(L,(ll)me[A[j].se.fi]);
						//R=max(R,(ll)me[A[j].se.fi]);
				//		kos(1,K,me[A[j].se.fi],me[A[j].se.fi],1,d[i]);
					}
			//	cout<<L<<" "<<me[A[i].se.fi]<<"\n";
			//	return 0;
				for(j=L;j<=me[A[i].se.fi];j++)
				{
					//if(que(1,K,j,j,1)>d[i])while(1);
					kos(1,K,j,j,1,d[i]);
				//	upd(1,K,j,d[i],1,0);
				}
				//kos(1,K,L,R,1,d[i]);
				//if(H!=-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
	{
		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:159:11: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(i=0;i<z.size();i++)
          ~^~~~~~~~~
trapezoid.cpp:189:14: warning: variable 'R' set but not used [-Wunused-but-set-variable]
     ll L=K+1,R=me[A[i].se.fi],C,H=-1;
              ^
trapezoid.cpp:189:31: warning: unused variable 'C' [-Wunused-variable]
     ll L=K+1,R=me[A[i].se.fi],C,H=-1;
                               ^
trapezoid.cpp:189:33: warning: unused variable 'H' [-Wunused-variable]
     ll L=K+1,R=me[A[i].se.fi],C,H=-1;
                                 ^
trapezoid.cpp:225:13: 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 7 ms 5880 KB Output is correct
2 Correct 7 ms 5880 KB Output is correct
3 Correct 12 ms 6008 KB Output is correct
4 Correct 12 ms 6012 KB Output is correct
5 Correct 125 ms 6276 KB Output is correct
6 Correct 233 ms 6520 KB Output is correct
7 Correct 34 ms 6520 KB Output is correct
8 Correct 479 ms 6804 KB Output is correct
9 Execution timed out 1075 ms 7804 KB Time limit exceeded
10 Correct 251 ms 9720 KB Output is correct
11 Execution timed out 1087 ms 10244 KB Time limit exceeded
12 Execution timed out 1070 ms 13192 KB Time limit exceeded
13 Execution timed out 1080 ms 14876 KB Time limit exceeded
14 Execution timed out 1081 ms 16120 KB Time limit exceeded
15 Execution timed out 1089 ms 17644 KB Time limit exceeded
16 Execution timed out 1088 ms 17264 KB Time limit exceeded
17 Execution timed out 1082 ms 18284 KB Time limit exceeded
18 Execution timed out 1073 ms 19216 KB Time limit exceeded
19 Execution timed out 1083 ms 18668 KB Time limit exceeded
20 Execution timed out 1084 ms 19440 KB Time limit exceeded