On the board, Bob wrote n positive integers in [base](https://en.wikipedia.org/wiki/Positional_notation#Base_of_the_numeral_system) 10 with sum s (i. e. in decimal numeral system). Alice sees the board, but accidentally interprets the numbers on the board as base-11 integers and adds them up (in base 11).

What numbers should Bob write on the board, so Alice's sum is as large as possible?

Input

The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. The description of the test cases follows.

The only line of each test case contains two integers s and n (1 ≤ s ≤ 10^9; 1 ≤ n ≤ min(100, s)) — the sum and amount of numbers on the board, respectively. Numbers s and n are given in decimal notation (base 10).

Output

For each test case, output n positive integers — the numbers Bob should write on the board, so Alice's sum is as large as possible. If there are multiple answers, print any of them.

Example

Input


6
97 2
17 1
111 4
100 2
10 9
999999 3


Output


70 27 
17 
3 4 100 4
10 90
1 1 2 1 1 1 1 1 1 
999900 90 9

Note

In the first test case, 70_{10} + 27_{10} = 97_{10}, and Alice's sum is $$$70_{11} + 27_{11} = 97_{11} = 9 ⋅ 11 + 7 = 106_{10}. (Here x_b represents the number x in base b.) It can be shown that it is impossible for Alice to get a larger sum than 106_{10}$$$.

In the second test case, Bob can only write a single number on the board, so he must write 17.

In the third test case, 3_{10} + 4_{10} + 100_{10} + 4_{10} = 111_{10}, and Alice's sum is $$$3_{11} + 4_{11} + 100_{11} + 4_{11} = 110_{11} = 1 ⋅ 11^2 + 1 ⋅ 11 = 132_{10}. It can be shown that it is impossible for Alice to get a larger sum than 132_{10}$$$.
import java.sql.SQLSyntaxErrorException;
import java.util.*;
import java.io.*;
import java.util.stream.StreamSupport;


public class Solution {
    static int mod = 998244353;
    public static void main(String str[]) throws IOException{
//        Reader sc = new Reader();
        BufferedWriter output = new BufferedWriter(new OutputStreamWriter(System.out));
        Scanner sc = new Scanner(System.in);

        int t = sc.nextInt();
        long[] ten = new long[11];
        ten[0] = 1;
        for(int i=1;i<11;i++){
            ten[i] = 10*ten[i-1];
        }
        while(t-->0){
            int s = sc.nextInt();
            int n = sc.nextInt();
            ArrayList<Long> al = new ArrayList<>();
            fun(s,n,al, ten);
            for(long i: al){
                output.write(i+" ");
            }
            output.write("\n");
        }

        output.flush();
    }

    static void fun(int s, int n, ArrayList<Long> al, long[] ten) {
            int x = s;
            int y = n;
            if (n == 1) {
                al.add((long) s);
                return;
            }
            if (s <= 0 || n <= 0) return;
            int pow = (int) Math.log10(s);
            long temp = ten[pow];
            long first = s / temp;
            if (first >= n) {

                for (int i = 1; i < n; i++) {
                    s -= temp;
                    al.add(temp);
                }
                al.add((long) s);
                return;
            } else {
                while (s - temp >= n && n > 1) {
                    al.add(temp);
                    s -= temp;
                    n--;
                }
                if (s >= temp) {
                    temp /= 10;
                    while (s - temp >= n && n > 1) {
                        al.add(temp);
                        s -= temp;
                        n--;
                    }
                }
                if(x==s && y==n)    return;
                fun(s, n, al, ten);

            }

    }
    static class Pair {
        int ind;
        long weight;
        Pair(int i, long w) {
            ind = i;
            weight = w;
        }
    }
    static class Node{
        int ind;
        long total = -1;
        int dis = 0;
        Map<Integer, Long> map = new HashMap<>();
        ArrayList<Pair> al = new ArrayList<>();
        Node(int i){
            ind =i;
        }
    }
    static int maxHeight(List<Integer> wallPositions, List<Integer> wallHeights){
        int ans = 0;
        int n = wallHeights.size();
        for(int i=1;i<n;i++){
            int ind1 = wallPositions.get(i-1);
            int ind2 = wallPositions.get(i);
            if(ind2-ind1==1)    continue;
            int x = wallHeights.get(i-1);
            int y = wallHeights.get(i);
            int index = (y-x+ind1+ind2)/2;
            if(index<=ind1){
                index = ind1+1;
            }
            else if(index>=ind2){
                index = ind2-1;
            }
            ans = Math.max(ans, Math.min(x+(index-ind1),y+(ind2-index)));
        }
        return ans;
    }




//        3
//        2 1 1
//        2 3 1
//        3 4 1
//        4
//        2


    public static ArrayList<Integer> primeFactors(int n)
    {
        // Print the number of 2s that divide n
        ArrayList<Integer> al = new ArrayList<>();
        while (n%2==0)
        {
            al.add(2);
            n /= 2;
        }

        // n must be odd at this point.  So we can
        // skip one element (Note i = i +2)
        for (int i = 3; i <= Math.sqrt(n); i+= 2)
        {
            // While i divides n, print i and divide n
            while (n%i == 0)
            {
                al.add(i);
                n /= i;
            }
        }

        // This condition is to handle the case whien
        // n is a prime number greater than 2
        if (n > 2)
            al.add(n);

        return al;
    }




    static void bfs(Graph[] g, int ind, boolean vis[], ArrayList<Node> al, Set<Integer> set){
        vis[ind] = true;
        set.add(ind);
        for(int i: g[ind].pq){
            if(!vis[i])     bfs(g,i,vis,al,set);
        }
        g[ind].set = set;
    }


//    static class tempSort implements Comparator<Node> {
//        // Used for sorting in ascending order of
//        // roll number
//        public int compare(Node a, Node b) {
//            return a.size - b.size;
//        }
//    }





    static long divide(long p, long q, long mod)
    {
        long expo = mod - 2;

        while (expo != 0)
        {
            if ((expo & 1) == 1)
            {
//                long temp = p;
//                System.out.println("zero--> "+temp+" "+q);
                p = (p * q) % mod;
//                if(p<0){
//                    System.out.println("one--> "+temp+" "+q);
//                }
            }
            q = (q * q) % mod;
//            if(q<0){
//                System.out.println("two--> "+p+" "+q);
//            }

            expo >>= 1;
        }
        return p;
    }


    static class Graph{
        int ind;
        ArrayList<Integer> pq = new ArrayList<>();
        Set<Integer> set;
        boolean b = false;
        public Graph(int a){
            ind = a;
        }


    }


    //
//    static class Pair{
//        int a=0;
//        int b=0;
//        int in = 0;
//        int ac = 0;
//        int ex = 0;
//    }
    long fun2(ArrayList<Integer> arr, int x){
        ArrayList<ArrayList> al = new ArrayList<>();
        ArrayList<Integer> curr = new ArrayList<>();
        fun(arr, x, al, curr, 0);
        if(al.size()==0)    return 0;
        int max = 0;
        for(ArrayList<Integer> i: al){
            if(i.size()>max)    max = i.size();
        }
        for(int i=0;i<al.size();i++){
            if(al.get(i).size()!=max){
                al.remove(i);
                i--;
            }
        }
        for(ArrayList<Integer> i: al){
            Collections.sort(al, Collections.reverseOrder());
        }
        long ans = 0;

        for(ArrayList<Integer> i: al){
            long temp = 0;
            for(int j: i){
                temp*=10;
                temp+=j;
            }
            if(ans<temp)    ans = temp;
        }
        return ans;

    }
    void fun(ArrayList<Integer> arr, int x, ArrayList<ArrayList> al, ArrayList<Integer> curr, int i){
        if(x<0) return ;
        if(x==0) {
            al.add(curr);
            return;
        }
        for(int j=i;j<arr.size();j++){
            ArrayList<Integer> temp = new ArrayList<>(curr);
            fun(arr, x-arr.get(j), al, temp, j);
        }
    }



    // Returns n^(-1) mod p
    static long modInverse(long n, long p)
    {
        return (long)power(n, p - 2, p);
    }



    // Returns nCr % p using Fermat's
    // little theorem.
    static long nCrModPFermat(int n, int r,
                              int p, long[] fac)
    {

        if (n<r)
            return 0;
        // Base case
        if (r == 0)
            return 1;

        // Fill factorial array so that we
        // can find all factorial of r, n
        // and n-r
        long x = modInverse(fac[r], p);
        long y = modInverse(fac[n - r], p);

        return (fac[n] * x
                % p * y
                % p)
                % p;
    }

    static long[] sum(String[] str){
        int n = str[0].length();
        long ans[] = new long[n];
        for(String s: str){
            for(int i=0;i<n;i++)   ans[i]+=s.charAt(i);
        }
        return ans;
    }

//    static class tSort implements Comparator<Pair>{
//
//        public int compare(Pair s1, Pair s2) {
//            if (s1.b < s2.b)
//                return -1;
//            else if (s1.b > s2.b)
//                return 1;
//            return 0;
//        }
//    }


//    static boolean checkCycle(Tree[] arr,  boolean[] visited, int curr, int node){
//        if(curr==node && visited[curr]) return true;
//        if(visited[curr])   return false;
//        visited[curr]  = true;
//        for(int i: arr[curr].al){
//            if(checkCycle(arr, visited, i, node))    return true;
//        }
//        return false;
//    }


//    static boolean allCombinations(int n){      //Global round 15
//        int three2n = 1;
//        for (int i = 1; i <= n; i++)
//            three2n *= 3;
//
//        for (int k = 1; k < three2n; k++) {
//            int k_cp = k;
//            int sum = 0;
//            for (int i = 1; i <= n; i++) {
//                int s = k_cp % 3;
//                k_cp /= 3;
//                if (s == 2) s = -1;
//                sum += s * a[i];
//            }
//            if (sum == 0) {
//                return true;
//            }
//        }
//        return false;
//    }

    static ArrayList<String> fun( int curr, int n, char c){
        int len = n-curr;
        if(len==0)  return null;
        ArrayList<String> al = new ArrayList<>();
        if(len==1){
            al.add(c+"");
            return al;
        }
        String ss = "";
        for(int i=0;i<len/2;i++){
            ss+=c;
        }
        ArrayList<String> one = fun(len/2+curr, n, (char)(c+1));
        for(String str: one){
            al.add(str+ss);
            al.add(ss+str);
        }
        return al;
    }
    static ArrayList convert(int x, int k){
        ArrayList<Integer> al = new ArrayList<>();
        if(x>0) {
            while (x > 0) {
                al.add(x % k);
                x /= k;
            }
        }
        else    al.add(0);
        return al;
    }




    static int max(int x, int y, int z){
        int ans = Math.max(x,y);
        ans = Math.max(ans, z);
        return ans;
    }
    static int min(int x, int y, int z){
        int ans = Math.min(x,y);
        ans = Math.min(ans, z);
        return ans;
    }

//    static long treeTraversal(Tree arr[], int parent, int x){
//        long tot = 0;
//        for(int i: arr[x].al){
//            if(i!=parent){
//                tot+=treeTraversal(arr, x, i);
//            }
//        }
//        arr[x].child = tot;
//        if(arr[x].child==0) arr[x].child = 1;
//        return tot+1;
//    }

    public static int primeFactors(int n, int k)
    {
        int ans = 0;

        while (n%2==0)
        {
            ans++;
            if(ans>=k)  return k;
            n /= 2;
        }
        for (int i = 3; i <= Math.sqrt(n); i+= 2)
        {
            while (n%i == 0)
            {
                ans++;
                n /= i;
                if(ans>=k)  return k;
            }
        }

        if (n > 2)  ans++;
        return ans;
    }
    static int binaryLow(ArrayList<Integer> arr, int x, int s, int e){
        if(s>=e){
            if(arr.get(s)>=x)  return s;
            else    return s+1;
        }
        int m = (s+e)/2;
        if(arr.get(m)==x)  return m;
        if(arr.get(m)>x)   return binaryLow(arr,x,s,m);
        if(arr.get(m)<x)   return binaryLow(arr,x,m+1,e);
        return 0;
    }
    static int binaryLow(int[] arr, int x, int s, int e){
        if(s>=e){
            if(arr[s]>=x)  return s;
            else    return s+1;
        }
        int m = (s+e)/2;
        if(arr[m]==x)  return m;
        if(arr[m]>x)   return binaryLow(arr,x,s,m);
        if(arr[m]<x)   return binaryLow(arr,x,m+1,e);
        return 0;
    }
    static int binaryHigh(int[] arr, int x, int s, int e){
        if(s>=e){
            if(arr[s]<=x)  return s;
            else    return s-1;
        }
        int m = (s+e)/2;
        if(arr[m]==x)  return m;
        if(arr[m]>x)   return binaryHigh(arr,x,s,m-1);
        if(arr[m]<x)   return binaryHigh(arr,x,m+1,e);
        return 0;
    }


//    static void arri(int arr[], int n, Reader sc) throws IOException{
//        for(int i=0;i<n;i++){
//            arr[i] = sc.nextInt();
//        }
//    }
//    static void arrl(long arr[], int n, Reader sc) throws IOException{
//        for(int i=0;i<n;i++){
//            arr[i] = sc.nextLong();
//        }


    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

        if (x == 0)
            return 0; // In case x is divisible by p;

        while (y > 0)
        {

            // If y is odd, multiply x with result
            if ((y & 1) != 0)
                res = (res * x) % p;

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

//    static boolean dfs(Tree node, boolean[] visited, int parent, ArrayList<Tree> tt){
//        visited[node.a] = true;
//        boolean b = false;
//        for(int i: node.al){
//            if(tt.get(i).a!=parent){
//                if(visited[tt.get(i).a])    return true;
//                b|= dfs(tt.get(i), visited, node.a, tt);
//            }
//        }
//        return b;
//    }




//    static class SortbyI implements Comparator<Pair> {
//        // Used for sorting in ascending order of
//        // roll number
//        public int compare(Pair a, Pair b)
//        {
//            if(a.a>=b.a) return 1;
//            else return -1;
//        }
//    }
//    static class SortbyD implements Comparator<Pair> {
//        // Used for sorting in ascending order of
//        // roll number
//        public int compare(Pair a, Pair b)
//        {
//            if(a.a<b.a) return 1;
//            else if(a.a==b.b && a.b>b.b)    return 1;
//            else return -1;
//        }
//    }
//    static int binarySearch(ArrayList<Pair> a, int x, int s, int e){
//        if(s>=e){
//            if(x<=a.get(s).b)  return s;
//            else    return s+1;
//        }
//        int mid = (e+s)/2;
//        if(a.get(mid).b<x){
//            return binarySearch(a, x, mid+1, e);
//        }
//        else    return binarySearch(a,x,s, mid);
//    }

    //    static class Edge{
//        int a;
//        int b;
//        int c;
//        int sec;
//        Edge(int a, int b, int c, int sec){
//            this.a = a;
//            this.b = b;
//            this.c = c;
//            this.sec = sec;
//        }
//
//    }
    static class Tree{
        int a;

        ArrayList<Tree> al = new ArrayList<>();
        Tree(int a){
            this.a = a;
        }


    }

    static 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') {
                    if (cnt != 0) {
                        break;
                    }
                    else {
                        continue;
                    }
                }
                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();
        }
    }


    static boolean isPrime(int n)
    {
        if (n <= 1)
            return false;
        if (n <= 3)
            return true;
        if (n % 2 == 0 ||
                n % 3 == 0)
            return false;

        for (int i = 5;
             i * i <= n; i = i + 6)
            if (n % i == 0 ||
                    n % (i + 2) == 0)
                return false;

        return true;
    }
    static ArrayList<Integer> sieveOfEratosthenes(int n)
    {
        ArrayList<Integer> al = new ArrayList<>();
        // Create a boolean array
        // "prime[0..n]" and
        // initialize all entries
        // it as true. A value in
        // prime[i] will finally be
        // false if i is Not a
        // prime, else true.
        boolean prime[] = new boolean[n + 1];
        for (int i = 0; i <= n; i++)
            prime[i] = true;

        for (int p = 2; p * p <= n; p++)
        {
            // If prime[p] is not changed, then it is a
            // prime
            if (prime[p] == true)
            {
                // Update all multiples of p
                for (int i = p * p; i <= n; i += p)
                    prime[i] = false;
            }
        }

        // Print all prime numbers
        for (int i = 2; i <= n; i++)
        {
            if (prime[i] == true)
                al.add(i);
        }
        return al;
    }

}