#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

struct Data{
	vector<vector<int>> v;
	Data(){
		v.resize(2,vector<int>(2,-Inf));
	}
};

Data op(Data a,Data b){
	Data ret;
	rep(i,2){
		rep(j,2){
			ret.v[i][j] = max(ret.v[i][j],a.v[i][j]);
			ret.v[i][j] = max(ret.v[i][j],b.v[i][j]);
			rep(k,2){
				rep(l,2){
					if(j==k)continue;
					ret.v[i][l] = max(ret.v[i][l], a.v[i][j] + b.v[k][l]);
				}
			}
		}
	}
	return ret;
}

Data e(){
	return Data();
}

int main(){
	
	int _t;
	cin>>_t;
	
	rep(_,_t){
		int n;
		cin>>n;
		vector<int> pos(n);
		rep(i,n){
			int p;
			cin>>p;
			p--;
			pos[p] = i;
		}
		segtree<Data,op,e> seg(n);
		rep(i,n){
			Data t;
			t.v[0][0] = 1;
			seg.set(i,t);
		}
		int ans = 0;
		rep(i,n){
			Data t;
			t.v[1][1] = 1;
			auto x = seg.prod(0,pos[i]);
			auto y = seg.prod(pos[i]+1,n);
			int z = 1;
			z += max({0,x.v[0][0] , x.v[1][0]});
			z += max({0,y.v[0][0] , y.v[0][1]});
		//	cout<<z<<endl;
			ans = max(ans,z);
			seg.set(pos[i],t);
		}
		
		cout<<ans<<endl;
	}
	
	return 0;
}