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.*;
import java.nio.charset.Charset;
import java.util.*;

public class Main {
    public static void main(String[] args) {
        Charset charset = Charset.forName("ascii");
        FastIO sc = new FastIO(System.in, System.out, charset);
        int t = sc.readInt();
        while (t-- > 0) {
            int n = sc.readInt();
            if (n == 1) System.out.print(9);
            else if (n == 2) System.out.print(98);
            else if (n == 3) System.out.print(989);
            else {
                System.out.print(989);
                int num = 0;
                for (int i = 0; i < n - 3; i++) {
                    System.out.print(num % 10);
                    num = num % 10;
                    num++;
                }
            }
            System.out.println();
        }
        sc.flush();
    }
}

class FastIO {
    public final StringBuilder cache = new StringBuilder(1 << 20);
    private final InputStream is;
    private final OutputStream os;
    private final Charset charset;
    private StringBuilder defaultStringBuf = new StringBuilder(1 << 8);
    private byte[] buf = new byte[1 << 13];
    private int bufLen;
    private int bufOffset;
    private int next;

    public FastIO(InputStream is, OutputStream os, Charset charset) {
        this.is = is;
        this.os = os;
        this.charset = charset;
    }

    public FastIO(InputStream is, OutputStream os) {
        this(is, os, Charset.forName("ascii"));
    }

    private int read() {
        while (bufLen == bufOffset) {
            bufOffset = 0;
            try {
                bufLen = is.read(buf);
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
            if (bufLen == -1) {
                return -1;
            }
        }
        return buf[bufOffset++];
    }

    public void skipBlank() {
        while (next >= 0 && next <= 32) {
            next = read();
        }
    }

    public int readInt() {
        int sign = 1;

        skipBlank();
        if (next == '+' || next == '-') {
            sign = next == '+' ? 1 : -1;
            next = read();
        }

        int val = 0;
        if (sign == 1) {
            while (next >= '0' && next <= '9') {
                val = val * 10 + next - '0';
                next = read();
            }
        } else {
            while (next >= '0' && next <= '9') {
                val = val * 10 - next + '0';
                next = read();
            }
        }

        return val;
    }

    public long readLong() {
        int sign = 1;

        skipBlank();
        if (next == '+' || next == '-') {
            sign = next == '+' ? 1 : -1;
            next = read();
        }

        long val = 0;
        if (sign == 1) {
            while (next >= '0' && next <= '9') {
                val = val * 10 + next - '0';
                next = read();
            }
        } else {
            while (next >= '0' && next <= '9') {
                val = val * 10 - next + '0';
                next = read();
            }
        }

        return val;
    }

    public double readDouble() {
        boolean sign = true;
        skipBlank();
        if (next == '+' || next == '-') {
            sign = next == '+';
            next = read();
        }

        long val = 0;
        while (next >= '0' && next <= '9') {
            val = val * 10 + next - '0';
            next = read();
        }
        if (next != '.') {
            return sign ? val : -val;
        }
        next = read();
        long radix = 1;
        long point = 0;
        while (next >= '0' && next <= '9') {
            point = point * 10 + next - '0';
            radix = radix * 10;
            next = read();
        }
        double result = val + (double) point / radix;
        return sign ? result : -result;
    }

    public String readString(StringBuilder builder) {
        skipBlank();

        while (next > 32) {
            builder.append((char) next);
            next = read();
        }

        return builder.toString();
    }

    public String readString() {
        defaultStringBuf.setLength(0);
        return readString(defaultStringBuf);
    }

    public int readLine(char[] data, int offset) {
        int originalOffset = offset;
        while (next != -1 && next != '\n') {
            data[offset++] = (char) next;
            next = read();
        }
        return offset - originalOffset;
    }

    public int readString(char[] data, int offset) {
        skipBlank();

        int originalOffset = offset;
        while (next > 32) {
            data[offset++] = (char) next;
            next = read();
        }

        return offset - originalOffset;
    }

    public int readString(byte[] data, int offset) {
        skipBlank();

        int originalOffset = offset;
        while (next > 32) {
            data[offset++] = (byte) next;
            next = read();
        }

        return offset - originalOffset;
    }

    public char readChar() {
        skipBlank();
        char c = (char) next;
        next = read();
        return c;
    }

    public void flush() {
        try {
            os.write(cache.toString().getBytes(charset));
            os.flush();
            cache.setLength(0);
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }

    public boolean hasMore() {
        skipBlank();
        return next != -1;
    }
}