#include <stdio.h>
#include <bits/stdc++.h>
#include <atcoder/all>
using namespace atcoder;
using mint = modint998244353;
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf 1000000001

int main(){
	
	int N;
	cin>>N;
	
	vector<int> a(N),b(N),z(N);
	vector<int> posa(N),posb(N);
	rep(i,N){
		cin>>a[i];
		a[i]--;
		posa[a[i]] = i;
	}
	rep(i,N){
		cin>>b[i];
		b[i]--;
		posb[b[i]] = i;
	}
	vector<int> rz(N);
	rep(i,N){
		cin>>z[i];
		z[i]--;
		rz[z[i]] = i;
	}
	
	vector<int> ok(N,N),ng(N,-1);
	vector<vector<int>> qs(N);
	
	vector<vector<int>> Add(N),Del(N);
	vector<pair<int,int>> Ps;
	{
		vector<int> pa(N),pb(N);
		rep(i,N){
			pa[i] = i;
			pb[i] = i;
		}
		vector<vector<int>> inda(N),indb(N);
		rep(i,N){
			inda[i].push_back(i);
			indb[i].push_back(i);
		}
		rep(i,N){
			Ps.emplace_back(posa[i],posb[z[i]]);
		}
		vector<vector<pair<int,int>>> AP(N),DP(N);
		
		rep(i,N){
			
			int A = posa[i];
			if(A!=0 && a[A]>a[A-1]){
				int x = pa[A],y = pa[A-1];
				if(inda[x].size()>inda[y].size())swap(x,y);
				while(inda[x].size()>0){
					int ba = inda[x].back();
					inda[x].pop_back();
					int v = a[ba];
					DP[i].emplace_back(pa[posa[v]],pb[posb[z[v]]]);
					Ps.emplace_back(pa[posa[v]],pb[posb[z[v]]]);
					pa[ba] = y;
					inda[y].push_back(ba);
					AP[i].emplace_back(pa[posa[v]],pb[posb[z[v]]]);
					Ps.emplace_back(pa[posa[v]],pb[posb[z[v]]]);
				}
			}
			if(A!=N-1 && a[A]>a[A+1]){
				int x = pa[A],y = pa[A+1];
				if(inda[x].size()>inda[y].size())swap(x,y);
				while(inda[x].size()>0){
					int ba = inda[x].back();
					inda[x].pop_back();
					int v = a[ba];
					DP[i].emplace_back(pa[posa[v]],pb[posb[z[v]]]);
					Ps.emplace_back(pa[posa[v]],pb[posb[z[v]]]);
					pa[ba] = y;
					inda[y].push_back(ba);
					AP[i].emplace_back(pa[posa[v]],pb[posb[z[v]]]);
					Ps.emplace_back(pa[posa[v]],pb[posb[z[v]]]);
				}
			}
			
			A = posb[i];
			if(A!=0 && b[A]>b[A-1]){
				int x = pb[A],y = pb[A-1];
				if(indb[x].size()>indb[y].size())swap(x,y);
				while(indb[x].size()>0){
					int ba = indb[x].back();
					indb[x].pop_back();
					int v = b[ba];
					DP[i].emplace_back(pa[posa[rz[v]]],pb[posb[v]]);
					Ps.emplace_back(pa[posa[rz[v]]],pb[posb[v]]);
					pb[ba] = y;
					indb[y].push_back(ba);
					AP[i].emplace_back(pa[posa[rz[v]]],pb[posb[v]]);
					Ps.emplace_back(pa[posa[rz[v]]],pb[posb[v]]);
				}
			}
			if(A!=N-1 && b[A]>b[A+1]){
				int x = pb[A],y = pb[A+1];
				if(indb[x].size()>indb[y].size())swap(x,y);
				while(indb[x].size()>0){
					int ba = indb[x].back();
					indb[x].pop_back();
					int v = b[ba];
					DP[i].emplace_back(pa[posa[rz[v]]],pb[posb[v]]);
					Ps.emplace_back(pa[posa[rz[v]]],pb[posb[v]]);
					pb[ba] = y;
					indb[y].push_back(ba);
					AP[i].emplace_back(pa[posa[rz[v]]],pb[posb[v]]);
					Ps.emplace_back(pa[posa[rz[v]]],pb[posb[v]]);
				}
			}
			
			
			
		}
		
		sort(Ps.begin(),Ps.end());
		Ps.erase(unique(Ps.begin(),Ps.end()),Ps.end());
		
		rep(i,N){
			rep(j,AP[i].size()){
				Add[i].push_back(distance(Ps.begin(),lower_bound(Ps.begin(),Ps.end(),AP[i][j])));
			}
			rep(j,DP[i].size()){
				Del[i].push_back(distance(Ps.begin(),lower_bound(Ps.begin(),Ps.end(),DP[i][j])));
			}
		}
	}
	
	rep(_,18){

		qs.assign(N,vector<int>());
		rep(i,N){
			if(ok[i]-ng[i]==1)continue;
			qs[(ok[i]+ng[i])/2].push_back(i);
		}
		
		vector<int> pa(N),pb(N);
		rep(i,N){
			pa[i] = i;
			pb[i] = i;
		}
		vector<vector<int>> inda(N),indb(N);
		rep(i,N){
			inda[i].push_back(i);
			indb[i].push_back(i);
		}
		vector<int> cnt(Ps.size(),0);
		rep(i,N){
			cnt[distance(Ps.begin(),lower_bound(Ps.begin(),Ps.end(),make_pair(posa[i],posb[z[i]])))]++;
		}
		rep(i,N){
			rep(j,qs[i].size()){
				int q = qs[i][j];
				int X = pa[q],Y = pb[q];
				int d = distance(Ps.begin(),lower_bound(Ps.begin(),Ps.end(),make_pair(X,Y)));
				if(d==Ps.size()||Ps[d]!=make_pair(X,Y)||cnt[d]==0){
					ng[q] = i;
				}
				else{
					ok[q] = i;
				}
			}
			
			int A = posa[i];
			if(A!=0 && a[A]>a[A-1]){
				int x = pa[A],y = pa[A-1];
				if(inda[x].size()>inda[y].size())swap(x,y);
				while(inda[x].size()>0){
					int ba = inda[x].back();
					inda[x].pop_back();
					pa[ba] = y;
					inda[y].push_back(ba);
				}
			}
			if(A!=N-1 && a[A]>a[A+1]){
				int x = pa[A],y = pa[A+1];
				if(inda[x].size()>inda[y].size())swap(x,y);
				while(inda[x].size()>0){
					int ba = inda[x].back();
					inda[x].pop_back();
					pa[ba] = y;
					inda[y].push_back(ba);
				}
			}
			
			A = posb[i];
			if(A!=0 && b[A]>b[A-1]){
				int x = pb[A],y = pb[A-1];
				if(indb[x].size()>indb[y].size())swap(x,y);
				while(indb[x].size()>0){
					int ba = indb[x].back();
					indb[x].pop_back();
					pb[ba] = y;
					indb[y].push_back(ba);
				}
			}
			if(A!=N-1 && b[A]>b[A+1]){
				int x = pb[A],y = pb[A+1];
				if(indb[x].size()>indb[y].size())swap(x,y);
				while(indb[x].size()>0){
					int ba = indb[x].back();
					indb[x].pop_back();
					pb[ba] = y;
					indb[y].push_back(ba);
				}
			}
			
			rep(j,Add[i].size())cnt[Add[i][j]]++;
			rep(j,Del[i].size())cnt[Del[i][j]]--;
			
		}
		
	}
	
	vector<int> ans(N+1,0);
	rep(i,N){
		//cout<<ok[i]<<endl;
		ans[ok[i]]++;
	}
	
	rep(i,N){
		ans[i+1] += ans[i];
	}
	
	for(int i=1;i<=N;i++){
		printf("%d\n",ans[i]);
	}
	
	return 0;
}