Submission #125974

# Submission time Handle Problem Language Result Execution time Memory
125974 2019-07-06T15:35:09 Z faustaadp trapezoid (balkan11_trapezoid) C++17
45 / 100
500 ms 19308 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;
				kos(1,K,L,me[A[i].se.fi],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:219:13: 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 5980 KB Output is correct
4 Correct 12 ms 6184 KB Output is correct
5 Correct 131 ms 6264 KB Output is correct
6 Correct 238 ms 6520 KB Output is correct
7 Correct 35 ms 6520 KB Output is correct
8 Correct 487 ms 6904 KB Output is correct
9 Execution timed out 1077 ms 7844 KB Time limit exceeded
10 Correct 257 ms 9676 KB Output is correct
11 Execution timed out 1066 ms 10256 KB Time limit exceeded
12 Execution timed out 1084 ms 13144 KB Time limit exceeded
13 Execution timed out 1069 ms 14964 KB Time limit exceeded
14 Execution timed out 1084 ms 16108 KB Time limit exceeded
15 Execution timed out 1069 ms 17720 KB Time limit exceeded
16 Execution timed out 1084 ms 17236 KB Time limit exceeded
17 Execution timed out 1076 ms 18160 KB Time limit exceeded
18 Execution timed out 1068 ms 19212 KB Time limit exceeded
19 Execution timed out 1081 ms 18544 KB Time limit exceeded
20 Execution timed out 1086 ms 19308 KB Time limit exceeded