In this problem at each moment you have a set of intervals. You can move from interval (a, b) from our set to interval (c, d) from our set if and only if c < a < d or c < b < d. Also there is a path from interval I1 from our set to interval I2 from our set if there is a sequence of successive moves starting from I1 so that we can reach I2.

Your program should handle the queries of the following two types:

  1. "1 x y" (x < y) — add the new interval (x, y) to the set of intervals. The length of the new interval is guaranteed to be strictly greater than all the previous intervals.
  2. "2 a b" (a ≠ b) — answer the question: is there a path from a-th (one-based) added interval to b-th (one-based) added interval? 



Answer all the queries. Note, that initially you have an empty set of intervals.

Input

The first line of the input contains integer n denoting the number of queries, (1 ≤ n ≤ 100). Each of the following lines contains a query as described above. All numbers in the input are integers and don't exceed 109 by their absolute value.

It's guaranteed that all queries are correct.

Output

For each query of the second type print "YES" or "NO" on a separate line depending on the answer.

Examples

Input

5
1 1 5
1 5 11
2 1 2
1 2 9
2 1 2


Output

NO
YES
import javax.print.DocFlavor;
import javax.swing.plaf.basic.BasicInternalFrameTitlePane;
import java.io.*;
import java.math.BigInteger;
import java.nio.Buffer;
import java.sql.BatchUpdateException;
import java.util.*;
import java.util.stream.Stream;
import java.util.Vector;
import java.io.IOException;
import java.nio.file.Files;
import java.nio.file.Paths;
import static java.lang.Math.*;
import java.util.*;
import java.nio.file.StandardOpenOption;
public class icpc
{
    public static void main(String[] args)throws IOException
    {
        Reader in = new Reader();

        int n = in.nextInt();
        ArrayList<Integer>[] adj = (ArrayList<Integer>[])new ArrayList[n];
        for(int i=0;i<n;i++)
            adj[i] = new ArrayList<>();

        ArrayList<Play> A = new ArrayList<>();
        int c = 0;
        for(int i=0;i<n;i++)
        {
            int t = in.nextInt();
            int l = in.nextInt()-1;
            int r = in.nextInt()-1;
            if(t == 1)
            {
                A.add(new Play(l,r));
                for(int j=0;j<c;j++)
                {
                    int ldash = A.get(j).x;
                    int rdash = A.get(j).y;
                    if((ldash > l && ldash < r) || (rdash > l && rdash < r))
                    {
                        adj[j].add(c);
                    }
                    if((l > ldash && l < rdash) || (r > ldash && r < rdash))
                    {
                        adj[c].add(j);
                    }
                }
                c++;
            }
            else
            {
                boolean[] visited = new boolean[A.size()];
                boolean flag = DFS(adj,l,r,visited);
                if(flag)
                    System.out.println("YES");
                else
                    System.out.println("NO");
            }
        }
    }
    public static boolean DFS(ArrayList<Integer>[] adj,int u,int v,boolean[] visited)
    {
        explore(adj,u,visited);
        if(visited[v])
            return true;
        return false;
    }
    public static void explore(ArrayList<Integer>[] adj,int v,boolean[] visited)
    {
        visited[v] = true;
        for(int i=0;i<adj[v].size();i++)
        {
            if(!visited[adj[v].get(i)])
                explore(adj,adj[v].get(i),visited);
        }
    }
}
class Solver
{
    public void solve(long[] A,Game[] B)
    {
    }
}
class Point implements Comparable<Point>
{
    int x;
    int y;
    Point(int a ,int b)
    {
        this.x = a;
        this.y = b;
    }
    public int compareTo(Point ob)
    {
        if(ob.x < this.x)
            return 1;
        else if(ob.x > this.x)
            return -1;
        else
            return 0;
    }
}
class MergeSort
{
    // Merges two subarrays of arr[].
    // First subarray is arr[l..m]
    // Second subarray is arr[m+1..r]
    void merge(int arr[], int l, int m, int r)
    {
        // Find sizes of two subarrays to be merged
        int n1 = m - l + 1;
        int n2 = r - m;

        /* Create temp arrays */
        int L[] = new int [n1];
        int R[] = new int [n2];

        /*Copy data to temp arrays*/
        for (int i=0; i<n1; ++i)
            L[i] = arr[l + i];
        for (int j=0; j<n2; ++j)
            R[j] = arr[m + 1+ j];


        /* Merge the temp arrays */

        // Initial indexes of first and second subarrays
        int i = 0, j = 0;

        // Initial index of merged subarry array
        int k = l;
        while (i < n1 && j < n2)
        {
            if (L[i] <= R[j])
            {
                arr[k] = L[i];
                i++;
            }
            else
            {
                arr[k] = R[j];
                j++;
            }
            k++;
        }

        /* Copy remaining elements of L[] if any */
        while (i < n1)
        {
            arr[k] = L[i];
            i++;
            k++;
        }

        /* Copy remaining elements of R[] if any */
        while (j < n2)
        {
            arr[k] = R[j];
            j++;
            k++;
        }
    }

    // Main function that sorts arr[l..r] using
    // merge()
    void sort(int arr[], int l, int r)
    {
        if (l < r)
        {
            // Find the middle point
            int m = (l+r)/2;

            // Sort first and second halves
            sort(arr, l, m);
            sort(arr , m+1, r);

            // Merge the sorted halves
            merge(arr, l, m, r);
        }
    }
}
class Node
{
    int[] A;
    int moves;
    Node(int[] B,int c)
    {
        this.A = new int[B.length];
        A = B.clone();
        this.moves = c;
    }
    @Override
    public boolean equals(Object ob)
    {
        if(ob == null)
            return false;
        if(!(ob instanceof Node))
            return false;
        if(ob == this)
            return true;
        Node obj = (Node)ob;
        boolean flag = true;
        for(int i=0;i<obj.A.length;i++)
        {
            if(this.A[i] != obj.A[i])
                flag = false;
        }
        return (flag & (obj.moves == this.moves));
    }
    @Override
    public int hashCode()
    {
        return (int)this.A.length;
    }
}
class Reader
{
    final private int BUFFER_SIZE = 1 << 16;
    private DataInputStream din;
    private byte[] buffer;
    private int bufferPointer, bytesRead;

    public Reader()
    {
        din = new DataInputStream(System.in);
        buffer = new byte[BUFFER_SIZE];
        bufferPointer = bytesRead = 0;
    }

    public Reader(String file_name) throws IOException
    {
        din = new DataInputStream(new FileInputStream(file_name));
        buffer = new byte[BUFFER_SIZE];
        bufferPointer = bytesRead = 0;
    }

    public String readLine() throws IOException
    {
        byte[] buf = new byte[64]; // line length
        int cnt = 0, c;
        while ((c = read()) != -1)
        {
            if (c == '\n')
                break;
            buf[cnt++] = (byte) c;
        }
        return new String(buf, 0, cnt);
    }

    public int nextInt() throws IOException
    {
        int ret = 0;
        byte c = read();
        while (c <= ' ')
            c = read();
        boolean neg = (c == '-');
        if (neg)
            c = read();
        do
        {
            ret = ret * 10 + c - '0';
        }  while ((c = read()) >= '0' && c <= '9');

        if (neg)
            return -ret;
        return ret;
    }

    public long nextLong() throws IOException
    {
        long ret = 0;
        byte c = read();
        while (c <= ' ')
            c = read();
        boolean neg = (c == '-');
        if (neg)
            c = read();
        do {
            ret = ret * 10 + c - '0';
        }
        while ((c = read()) >= '0' && c <= '9');
        if (neg)
            return -ret;
        return ret;
    }

    public double nextDouble() throws IOException
    {
        double ret = 0, div = 1;
        byte c = read();
        while (c <= ' ')
            c = read();
        boolean neg = (c == '-');
        if (neg)
            c = read();

        do {
            ret = ret * 10 + c - '0';
        }
        while ((c = read()) >= '0' && c <= '9');

        if (c == '.')
        {
            while ((c = read()) >= '0' && c <= '9')
            {
                ret += (c - '0') / (div *= 10);
            }
        }

        if (neg)
            return -ret;
        return ret;
    }

    private void fillBuffer() throws IOException
    {
        bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
        if (bytesRead == -1)
            buffer[0] = -1;
    }

    private byte read() throws IOException
    {
        if (bufferPointer == bytesRead)
            fillBuffer();
        return buffer[bufferPointer++];
    }

    public void close() throws IOException
    {
        if (din == null)
            return;
        din.close();
    }
}
class Game
{
    int last;
    int diff;
    boolean flag;
    Game(int a,int b,boolean z)
    {
        this.last = a;
        this.diff = b;
        this.flag = z;
    }
}
class Play
{
    int x;
    int y;
    Play(int a,int b)
    {
        this.x = a;
        this.y = b;
    }
}
class SegmentTree1
{
    public int nextPowerOfTwo(int num)
    {
        if(num == 0)
            return 1;
        if(num > 0 && (num & (num - 1)) == 0)
            return num;
        while((num &(num - 1)) > 0)
        {
            num = num & (num - 1);
        }
        return num << 1;
    }
    public int[] createSegmentTree(int[] input)
    {
        int np2 = nextPowerOfTwo(input.length);
        int[] segmentTree = new int[np2 * 2 - 1];

        for(int i=0;i<segmentTree.length;i++)
            segmentTree[i] = Integer.MAX_VALUE;

        constructSegmentTree(segmentTree,input,0,input.length-1,0);
        return segmentTree;

    }
    private void constructSegmentTree(int[] segmentTree,int[] input,int low,int high,int pos)
    {
        if(low == high)
        {
            segmentTree[pos] = input[low];
            return;
        }
        int mid = (low + high)/ 2;
        constructSegmentTree(segmentTree,input,low,mid,2*pos + 1);
        constructSegmentTree(segmentTree,input,mid+1,high,2*pos + 2);
        segmentTree[pos] = Math.min(segmentTree[2*pos + 1],segmentTree[2*pos + 2]);
    }
    public int rangeMinimumQuery(int[] segmentTree,int qlow,int qhigh,int len)
    {
        return rangeMinimumQuery(segmentTree,0,len - 1,qlow,qhigh,0);
    }
    private int rangeMinimumQuery(int[] segmentTree,int low,int high,int qlow,int qhigh,int pos)
    {
        if(qlow <= low && qhigh >= high)
        {
            return segmentTree[pos];
        }
        else if(qlow > high || qhigh < low)
        {
            return Integer.MAX_VALUE;
        }
        int mid = (low + high)/2;
        return Math.min(rangeMinimumQuery(segmentTree,low,mid,qlow,qhigh,2*pos+1),rangeMinimumQuery(segmentTree,mid+1,high,qlow,qhigh,2*pos+2));
    }
    public void updateSegmentTreeRangeLazy(int[] input,int[] segmentTree,int[] lazy,int startRange,int endRange,int delta)
    {
        updateSegmentTreeRangeLazy(input,segmentTree,lazy,startRange,endRange,delta,0,input.length-1,0);
    }
    private void updateSegmentTreeRangeLazy(int[] input,int[] segmentTree,int[] lazy,int startRange,int endRange,int delta,int low,int high,int pos)
    {
        if(low > high)
        {
            return;
        }
        if(lazy[pos] != 0)
        {
            segmentTree[pos] += lazy[pos];
            if(low != high)
            {
                lazy[2*pos+1] += lazy[pos];
                lazy[2*pos + 2] += lazy[pos];
            }
            lazy[pos] = 0;
        }
        if(startRange > high || endRange < low)
            return;
        if(startRange <= low && endRange >= high)
        {
            segmentTree[pos] += delta;
            if(low != high)
            {
                lazy[2*pos + 1] += delta;
                lazy[2*pos + 2] += delta;
            }
            return;
        }
        int mid = (low + high)/2;
        updateSegmentTreeRangeLazy(input,segmentTree,lazy,startRange,endRange,delta,low,mid,2*pos + 1);
        updateSegmentTreeRangeLazy(input,segmentTree,lazy,startRange,endRange,delta,mid + 1,high,2 * pos + 2);
        segmentTree[pos] += Math.min(segmentTree[2*pos + 1],segmentTree[2*pos + 2]);
    }
    public int rangeMinimumQueryLazy(int[] segmentTree,int[] lazy,int qlow,int qhigh,int len)
    {
        return rangeMinimumQueryLazy(segmentTree,lazy,qlow,qhigh,0,len - 1,0);
    }
    private int rangeMinimumQueryLazy(int[] segmentTree,int[] lazy,int qlow,int qhigh,int low,int high,int pos)
    {
        if(low > high)
            return Integer.MAX_VALUE;
        if(lazy[pos] != 0)
        {
            segmentTree[pos] += lazy[pos];
            if(low != high)
            {
                lazy[2*pos + 1] += lazy[pos];
                lazy[2*pos + 2] += lazy[pos];
            }
            lazy[pos] = 0;
        }
        if(qlow > high || qhigh < low)
            return Integer.MAX_VALUE;
        if(qlow <= low && qhigh >= low)
            return segmentTree[pos];
        int mid = (low + high)/2;
        return Math.min(rangeMinimumQueryLazy(segmentTree,lazy,qlow,qhigh,low,mid,2*pos + 1),rangeMinimumQueryLazy(segmentTree,lazy,qlow,qhigh,mid + 1,high,2*pos + 2));
    }
}
class FenwickTree
{
    public void update(int[] fenwickTree,int delta,int index)
    {
        index += 1;
        while(index < fenwickTree.length)
        {
            fenwickTree[index] += delta;
            index = index + (index & (-index));
        }
    }
    public int prefixSum(int[] fenwickTree,int index)
    {
        int sum = 0;
        index += 1;
        while(index > 0)
        {
            sum += fenwickTree[index];
            index -= (index & (-index));
        }
        return sum;
    }
}
