Problem: There are n digital panels placed in a straight line. Each panel can show any digit from 0 to 9. Initially, all panels show 0.

Every second, the digit shown by each panel increases by 1. In other words, at the end of every second, a panel that showed 9 would now show 0, a panel that showed 0 would now show 1, a panel that showed 1 would now show 2, and so on.

When a panel is paused, the digit displayed on the panel does not change in the subsequent seconds.

You must pause exactly one of these panels, at any second you wish. Then, the panels adjacent to it get paused one second later, the panels adjacent to those get paused 2 seconds later, and so on. In other words, if you pause panel x, panel y (for all valid y) would be paused exactly |x−y| seconds later.

For example, suppose there are 4 panels, and the 3-rd panel is paused when the digit 9 is on it.

  * The panel 1 pauses 2 seconds later, so it has the digit 1; 
  * the panel 2 pauses 1 second later, so it has the digit 0; 
  * the panel 4 pauses 1 second later, so it has the digit 0. 



The resulting 4-digit number is 1090. Note that this example is not optimal for n = 4.

Once all panels have been paused, you write the digits displayed on them from left to right, to form an n digit number (it can consist of leading zeros). What is the largest possible number you can get? Initially, all panels show 0.

Input

The first line of the input contains a single integer t (1 ≤ t ≤ 100) — the number of test cases. Each test case consists of a single line containing a single integer n (1 ≤ n ≤ 2⋅10^5).

It is guaranteed that the sum of n over all test cases does not exceed 2⋅10^5.

Output

For each test case, print the largest number you can achieve, if you pause one panel optimally.

Example

Input


2
1
2


Output


9
98

Note

In the first test case, it is optimal to pause the first panel when the number 9 is displayed on it.

In the second test case, it is optimal to pause the second panel when the number 8 is displayed on it.

Solution (in JAVA):

Solution:
import java.io.DataInputStream;
import java.io.FileInputStream;
import java.io.FileWriter;
import java.io.IOException;
import static java.lang.System.out;
import java.util.*;
import java.util.Map.Entry;



public class Main 
{
    public static void main(String[] args) throws Exception
    {
        
        long start = System.currentTimeMillis();
        
        /*
        FileWriter writer = new FileWriter("input.txt");
        
        for(int i=0;i<1000;++i)
        {
            int val = Mother_Class.getRandomInteger(1, 100000);
            writer.write(val+"\n");
            for(int j=0;j<val;++j)
            {
                writer.write(j+" ");
            }
            writer.write("\n");
        }
        
        writer.close();
        */
        
        
        Reader read = new Reader();
        
        int test, n;
        test = read.inte();
        
        while(test-- > 0)
        {
            n = read.inte();
            if(n==1) { out.println(9); }
            else if(n==2) { out.println(98); }
            else if(n==3) { out.println(989); }
            else
            {
                StringBuilder str = new StringBuilder("989");
                n -= 3;
                int digit = 0;
                while(n>0)
                {
                    str.append(""+digit);
                    --n;
                    ++digit;
                    if(digit==10) { digit = 0; }
                }
                out.println(str);
            }
        }
        long end = System.currentTimeMillis();
        
        //out.println("Execution Time: "+(end-start)+"ms");
        
    }
    
    
}

class Pair
{
    public int first;
    public int second;

    public Pair(int first, int second)
    {
        this.first = first;
        this.second = second;
    }

    @Override
    public String toString()
    {
        return "{"+first+", "+second+"}";
    }

    
}

class CustomCompare implements Comparator<Pair>
{

    @Override
    public int compare(Pair o1, Pair o2) 
    {
        return o1.first - o2.first;
    }
    
}

class Triplet
{
    public int first;
    public int second;
    public int third;

    public Triplet(int first, int second, int third)
    {
        this.first = first;
        this.second = second;
        this.third = third;
    }

    @Override
    public String toString()
    {
        return "{"+first+", "+second+", "+third+"}";
    }
}



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 stren() throws IOException
    {
        byte[] buf = new byte[500000]; // line length
        int cnt = 0, c;
        while ((c = read()) != -1) {
            if (c == '\n') {
                if (cnt != 0) {
                    break;
                }
                else {
                    continue;
                }
            }
            buf[cnt++] = (byte)c;
        }
        return new String(buf, 0, cnt);
    }

    public String strsp() throws IOException
    {
        byte[] buf = new byte[500000]; // line length
        int cnt = 0, c;
        while ((c = read()) != -1) {
            if (c == ' ' || c == '\n') {
                if (cnt != 0) {
                    break;
                }
                else {
                    continue;
                }
            }
            buf[cnt++] = (byte)c;
        }
        return new String(buf, 0, cnt);
    }

    public int inte() throws IOException
    {
        int ret = 0;
        byte c = read();
        boolean eof = false;
        while (c <= 47 || c >= 58) 
        {
            if(c==45) { break; }
            if(c==-1) { eof = true; break; }
            c = read();
        }
        if(eof) { return Integer.MIN_VALUE; }
        
        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 lon() throws IOException
    {
        long ret = 0;
        byte c = read();
        boolean eof = false;
        while (c <= 47 || c >= 58) 
        {
            if(c==45) { break; }
            if(c==-1) { eof = true; break; }
            c = read();
        }
        if(eof) { return Long.MIN_VALUE; }
        
        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 dbl() throws IOException
    {
        double ret = 0, div = 1;
        byte c = read();
        boolean eof = false;
        while (c <= 47 || c >= 58) 
        {
            if(c==45) { break; }
            if(c==-1) { eof = true; break; }
            c = read();
        }
        if(eof) { return Double.NEGATIVE_INFINITY; }
        
        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();
    }
}