For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique.

* insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation.
* find($x$): Report the number of $x$ in $S$ (0 or 1).

Constraints

* $1 \leq q \leq 200,000$
* $0 \leq x \leq 1,000,000,000$

Input

The input is given in the following format.


$q$
$query_1$
$query_2$
:
$query_q$


Each query $query_i$ is given by


0 $x$


or


1 $x$


where the first digits 0 and 1 represent insert and find operations respectively.

Output

For each insert operation, print the number of elements in $S$.
For each find operation, print the number of specified elements in $S$.

Example

Input

7
0 1
0 2
0 3
0 2
0 4
1 3
1 10


Output

1
2
3
3
4
1
0
#include <bits/stdc++.h>
using namespace std;
struct Fast { Fast() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20);} } fast;

long long mod = 1000000007;

long long div(long long a, long long b, long long c){
    return b / c - (a - 1) / c;
}

int main(){
    int n, t, x;
    cin >> n;
    set<int> as;
    for(int i = 0; i < n; i++){
        cin >> t >> x;
        if (t == 0){
            as.insert(x);
            cout << as.size() << endl;;
        }else if (as.find(x) != as.end()){
            cout << '1' << endl;
        }else{
            cout << '0' << endl;
        }
    }
}
