The only difference between easy and hard versions is the maximum value of n.

You are given a positive integer number n. You really love good numbers so you want to find the smallest good number greater than or equal to n.

The positive integer is called good if it can be represented as a sum of distinct powers of 3 (i.e. no duplicates of powers of 3 are allowed).

For example:

  * 30 is a good number: 30 = 3^3 + 3^1, 
  * 1 is a good number: 1 = 3^0, 
  * 12 is a good number: 12 = 3^2 + 3^1, 
  * but 2 is not a good number: you can't represent it as a sum of distinct powers of 3 (2 = 3^0 + 3^0), 
  * 19 is not a good number: you can't represent it as a sum of distinct powers of 3 (for example, the representations 19 = 3^2 + 3^2 + 3^0 = 3^2 + 3^1 + 3^1 + 3^1 + 3^0 are invalid), 
  * 20 is also not a good number: you can't represent it as a sum of distinct powers of 3 (for example, the representation 20 = 3^2 + 3^2 + 3^0 + 3^0 is invalid). 



Note, that there exist other representations of 19 and 20 as sums of powers of 3 but none of them consists of distinct powers of 3.

For the given positive integer n find such smallest m (n ≤ m) that m is a good number.

You have to answer q independent queries.

Input

The first line of the input contains one integer q (1 ≤ q ≤ 500) — the number of queries. Then q queries follow.

The only line of the query contains one integer n (1 ≤ n ≤ 10^4).

Output

For each query, print such smallest integer m (where n ≤ m) that m is a good number.

Example

Input


7
1
2
6
13
14
3620
10000


Output


1
3
9
13
27
6561
19683
import java.io.*;
import java.lang.reflect.Array;
import java.math.BigInteger;
import java.util.*;


public class Main{
    static int mod1 = (int) (1e9 + 7);

    static class Reader {
        final private int BUFFER_SIZE = 1 << 16;
        Scanner scan = new Scanner(new BufferedReader(new InputStreamReader(System.in)));
        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 nextString() throws IOException {
            String str00 = scan.next();
            return str00;
        }

        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);
        }

        String next() throws IOException {
            int c;
            for (c = read(); c <= 32; c = read());
            StringBuilder sb = new StringBuilder();
            for (; c > 32; c = read()) {
                sb.append((char) c);
            }
            return sb.toString();
        }

        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();
        }

        public int[] nextArray(int n) throws IOException {
            int[] a = new int[n];
            for (int i = 0; i < n; i++) {
                a[i] = nextInt();
            }
            return a;
        }
    }


    static long GCD(long a, long b)
    {
        if (b == 0)
            return a;
        return GCD(b, a % b);
    }


    static long power(long x, long y, long p)
    {
        long res = 1;      // Initialize result

        x = x % p;  // Update x if it is more than or
        // equal to p

        while (y > 0)
        {
            // If y is odd, multiply x with result
            if (y%2!=0)
                res = (res*x) % p;

            // y must be even now
            y = y>>1; // y = y/2
            x = (x*x) % p;
        }
        return res;
    }


    static boolean primeCheck(long num0) {
        boolean b1 = true;
        if (num0 == 1) {
            b1 = false;
        } else {
            int num01 = (int) (Math.sqrt(num0)) + 1;
            me1:
            for (int i = 2; i < num01; i++) {
                if (num0 % i == 0) {
                    b1 = false;
                    break me1;
                }
            }
        }
        return b1;
    }

    public static int dev(int num1)
    {
        int num2=num1;
        int count00=0;
        while (num1%2==0)
        {
            count00++;
            num1/=2;
        }
        HashMap<Integer,Integer> hashMap=new HashMap<>();
        if(count00!=0)
        {
            hashMap.put(2,count00);
        }
        for (int i = 3; i <= (int)Math.sqrt(num1); i = i + 2)
        {
            // While i divides n, print i and divide n
            if(num1%i==0) {
                int count01 = 0;

                while (num1 % i == 0) {
                    num1 /= i;
                    count01++;
                }
                hashMap.put(i,count01);
            }
        }
        if(num1>2)
        {

            hashMap.put(num1,1);
        }

        long res00=1;
        for(int num00:hashMap.keySet())
        {
            int num01=num00;

            int sum1=0;

            int count01=(hashMap.get(num00));
            for(int i=0;i<count01;i++)
            {
                sum1+=num01;
                num01+=num00;
            }
            res00*=sum1;
        }

        boolean bool0=primeCheck(num2);
        if(bool0)
        {
            res00++;
        }

        return (int)(res00);
    }

    static TreeSet<Integer> ts=new TreeSet<>();
    static int[] arr0;
    static void get(int val,int cur)
    {
        ts.add(val);
        //System.out.println(val);
        if(cur==11)
        {
            return;
        }
        else
        {
            for(int i=cur+1;i<12;i++)
            {
                get(val+arr0[i],i);
            }
        }
    }

    public static void main(String[] args) throws IOException
    {
        Reader r = new Reader();
        //PrintWriter writer=new PrintWriter(System.out);
        //Scanner r = new Scanner(new BufferedReader(new InputStreamReader(System.in)));
        //Scanner r=new Scanner(System.in);
        OutputWriter770 out=new OutputWriter770(System.out);
        arr0=new int[14];
        arr0[0]=1;
        for(int i=1;i<12;i++)
        {
            arr0[i]=arr0[i-1]*3;
        }


        get(0,-1);
        int cas1=r.nextInt();

        while (cas1-->0)
        {
            int num1=r.nextInt();
            out.print(ts.ceiling(num1)+"\n");
        }

        r.close();
        out.close();
    }
}


class OutputWriter770
{
    BufferedWriter writer;

    public OutputWriter770(OutputStream stream)
    {
        writer = new BufferedWriter(new OutputStreamWriter(stream));
    }
    public void print(int i) throws IOException
    {
        writer.write(i + "");
    }

    public void println(int i) throws IOException
    {
        writer.write(i + "\n");
    }

    public void print(String s) throws IOException
    {
        writer.write(s + "");
    }

    public void println(String s) throws IOException
    {
        writer.write(s + "\n");
    }

    public void print(char[] c) throws IOException
    {
        writer.write(c);
    }

    public void close() throws IOException
    {
        writer.flush();
        writer.close();
    }
}