#include<bits/stdc++.h>
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
using namespace std;
int a[200005];
int b[200005];
vector<int>id[200005];
vector<int>v;
vector<pair<int,int>>op;
int n;
struct fenwick{
int info[100005];
void upd(int id,int val){
for(int i=id;i<=n;i+=i&-i)info[i]=max(info[i],val);
}
int fans(int id){
int ans=0;
for(int i=id;i>0;i-=i&-i)ans=max(ans,info[i]);
return ans;
}
}fw;
int qr[5005][5005];
int dp[5005];
int mx[20][100005];
int lg[100005];
int fmx(int l,int r){
int x=lg[r-l+1];
//cerr<<"qr:"<<l<<' '<<r<<" "<<max(mx[x][l],mx[x][r-(1<<x)])<<"\n";
return max(mx[x][l],mx[x][r-(1<<x)]);
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
cin>>n;
for(int i=1;i<=n;i++)cin>>a[i],v.push_back(a[i]);
for(int i=1;i<=n;i++)cin>>b[i],v.push_back(b[i]);
sort(v.begin(),v.end());
v.erase(unique(v.begin(),v.end()),v.end());
for(int i=1;i<=n;i++){
int x=lower_bound(v.begin(),v.end(),a[i])-v.begin()+1;
a[i]=x;
x=lower_bound(v.begin(),v.end(),b[i])-v.begin()+1;
b[i]=x;
}
for(int i=1;i<=n;i++){
id[a[i]].push_back(i);
}
for(int i=1;i<=n;i++)mx[0][i]=a[i];
for(int i=1;i<20;i++)for(int j=1;j<=n;j++){
mx[i][j]=max(mx[i-1][j],mx[i-1][min(n,j+(1<<(i-1)))]);
}
lg[1]=0;
for(int i=2;i<=n;i++)lg[i]=lg[i/2]+1;
for(int i=1;i<=n;i++){
vector<pair<int,int>>top;
for(auto x:id[b[i]]){
int mx=fmx(min(i,x),max(i,x));
if(mx>b[i])continue;
if(n<=5000){
qr[i][x]=1;
}
top.push_back({i,x});
}
for(auto x:top)op.push_back(x);
}
//sort(op.begin(),op.end());
if(n<=5000){
for(int i=1;i<=n;i++){
int mx=0;
for(int j=1;j<=n;j++){
mx=max(mx,dp[j]);
if(qr[i][j]==1){
dp[j]=mx+1;
}
}
}
int ans=0;
for(int i=1;i<=n;i++)ans=max(ans,dp[i]);
cout<<ans;
return 0;
}
int ans=0;
for(auto [x,y]:op){
//cerr<<x<<" "<<-y<<"\n";
int val=fw.fans(y)+1;
ans=max(ans,val);
//cerr<<val<<"\n";
fw.upd(y,val);
}
cout<<ans;
}
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