Submission #125953

# Submission time Handle Problem Language Result Execution time Memory
125953 2019-07-06T15:12:38 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;
				// 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])
					{
						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]);
					}
				//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:189:31: 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:215:13: 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 6008 KB Output is correct
3 Correct 12 ms 6008 KB Output is correct
4 Correct 12 ms 6008 KB Output is correct
5 Correct 110 ms 6264 KB Output is correct
6 Correct 219 ms 6520 KB Output is correct
7 Correct 35 ms 6520 KB Output is correct
8 Correct 454 ms 6820 KB Output is correct
9 Execution timed out 1073 ms 7872 KB Time limit exceeded
10 Correct 258 ms 9720 KB Output is correct
11 Execution timed out 1086 ms 9848 KB Time limit exceeded
12 Execution timed out 1064 ms 13068 KB Time limit exceeded
13 Execution timed out 1082 ms 14960 KB Time limit exceeded
14 Execution timed out 1084 ms 16244 KB Time limit exceeded
15 Execution timed out 1080 ms 17660 KB Time limit exceeded
16 Execution timed out 1079 ms 17260 KB Time limit exceeded
17 Execution timed out 1088 ms 18672 KB Time limit exceeded
18 Execution timed out 1081 ms 19152 KB Time limit exceeded
19 Execution timed out 1081 ms 18540 KB Time limit exceeded
20 Execution timed out 1082 ms 19440 KB Time limit exceeded