description: 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 $$$3_{11} + 4_{11} + 100_{11} + 4_{11} = 110_{11} = 1 ⋅ 11^2 + 1 ⋅ 11 = 132_{10}. It can be shown that it is impossible for Alice to get a larger sum than 132_{10}$$$.
solution: 
  def divisors(M):
      d=[]
      i=1
      while M>=i**2:
          if M%i==0:
              d.append(i)
              if i**2!=M:
                  d.append(M//i)
          i=i+1
      return d
  
  def popcount(x):
      x = x - ((x >> 1) & 0x55555555)
      x = (x & 0x33333333) + ((x >> 2) & 0x33333333)
      x = (x + (x >> 4)) & 0x0f0f0f0f
      x = x + (x >> 8)
      x = x + (x >> 16)
      return x & 0x0000007f
  
  def eratosthenes(n):
      res=[0 for i in range(n+1)]
      prime=set([])
      for i in range(2,n+1):
          if not res[i]:
              prime.add(i)
              for j in range(1,n//i+1):
                  res[i*j]=1
      return prime
  
  def factorization(n):
      res=[]
      for p in prime:
          if n%p==0:
              while n%p==0:
                  n//=p
              res.append(p)
      if n!=1:
          res.append(n)
      return res
  
  def euler_phi(n):
      res = n
      for x in range(2,n+1):
          if x ** 2 > n:
              break
          if n%x==0:
              res = res//x * (x-1)
              while n%x==0:
                  n //= x
      if n!=1:
          res = res//n * (n-1)
      return res
  
  def ind(b,n):
      res=0
      while n%b==0:
          res+=1
          n//=b
      return res
  
  def isPrimeMR(n):
      d = n - 1
      d = d // (d & -d)
      L = [2, 3, 5, 7, 11, 13, 17]
      for a in L:
          t = d
          y = pow(a, t, n)
          if y == 1: continue
          while y != n - 1:
              y = (y * y) % n
              if y == 1 or t == n - 1: return 0
              t <<= 1
      return 1
  def findFactorRho(n):
      from math import gcd
      m = 1 << n.bit_length() // 8
      for c in range(1, 99):
          f = lambda x: (x * x + c) % n
          y, r, q, g = 2, 1, 1, 1
          while g == 1:
              x = y
              for i in range(r):
                  y = f(y)
              k = 0
              while k < r and g == 1:
                  ys = y
                  for i in range(min(m, r - k)):
                      y = f(y)
                      q = q * abs(x - y) % n
                  g = gcd(q, n)
                  k += m
              r <<= 1
          if g == n:
              g = 1
              while g == 1:
                  ys = f(ys)
                  g = gcd(abs(x - ys), n)
          if g < n:
              if isPrimeMR(g): return g
              elif isPrimeMR(n // g): return n // g
              return findFactorRho(g)
  def primeFactor(n):
      i = 2
      ret = {}
      rhoFlg = 0
      while i*i <= n:
          k = 0
          while n % i == 0:
              n //= i
              k += 1
          if k: ret[i] = k
          i += 1 + i % 2
          if i == 101 and n >= 2 ** 20:
              while n > 1:
                  if isPrimeMR(n):
                      ret[n], n = 1, 1
                  else:
                      rhoFlg = 1
                      j = findFactorRho(n)
                      k = 0
                      while n % j == 0:
                          n //= j
                          k += 1
                      ret[j] = k
  
      if n > 1: ret[n] = 1
      if rhoFlg: ret = {x: ret[x] for x in sorted(ret)}
      return ret
  
  def divisors(n):
      res = [1]
      prime = primeFactor(n)
      for p in prime:
          newres = []
          for d in res:
              for j in range(prime[p]+1):
                  newres.append(d*p**j)
          res = newres
      res.sort()
      return res
  
  def xorfactorial(num):
      if num==0:
          return 0
      elif num==1:
          return 1
      elif num==2:
          return 3
      elif num==3:
          return 0
      else:
          x=baseorder(num)
          return (2**x)*((num-2**x+1)%2)+function(num-2**x)
  
  def xorconv(n,X,Y):
      if n==0:
          res=[(X[0]*Y[0])%mod]
          return res
      x=[X[i]+X[i+2**(n-1)] for i in range(2**(n-1))]
      y=[Y[i]+Y[i+2**(n-1)] for i in range(2**(n-1))]
      z=[X[i]-X[i+2**(n-1)] for i in range(2**(n-1))]
      w=[Y[i]-Y[i+2**(n-1)] for i in range(2**(n-1))]
      res1=xorconv(n-1,x,y)
      res2=xorconv(n-1,z,w)
      former=[(res1[i]+res2[i])*inv for i in range(2**(n-1))]
      latter=[(res1[i]-res2[i])*inv for i in range(2**(n-1))]
      former=list(map(lambda x:x%mod,former))
      latter=list(map(lambda x:x%mod,latter))
      return former+latter
  
  def merge_sort(A,B):
      pos_A,pos_B = 0,0
      n,m = len(A),len(B)
      res = []
      while pos_A < n and pos_B < m:
          a,b = A[pos_A],B[pos_B]
          if a < b:
              res.append(a)
              pos_A += 1
          else:
              res.append(b)
              pos_B += 1
      res += A[pos_A:]
      res += B[pos_B:]
      return res
  
  class UnionFindVerSize():
      def __init__(self, N):
          self._parent = [n for n in range(0, N)]
          self._size = [1] * N
          self.group = N
  
      def find_root(self, x):
          if self._parent[x] == x: return x
          self._parent[x] = self.find_root(self._parent[x])
          stack = [x]
          while self._parent[stack[-1]]!=stack[-1]:
              stack.append(self._parent[stack[-1]])
          for v in stack:
              self._parent[v] = stack[-1]
          return self._parent[x]
  
      def unite(self, x, y):
          gx = self.find_root(x)
          gy = self.find_root(y)
          if gx == gy: return
  
          self.group -= 1
  
          if self._size[gx] < self._size[gy]:
              self._parent[gx] = gy
              self._size[gy] += self._size[gx]
          else:
              self._parent[gy] = gx
              self._size[gx] += self._size[gy]
  
      def get_size(self, x):
          return self._size[self.find_root(x)]
  
      def is_same_group(self, x, y):
          return self.find_root(x) == self.find_root(y)
  
  class WeightedUnionFind():
      def __init__(self,N):
          self.parent = [i for i in range(N)]
          self.size = [1 for i in range(N)]
          self.val = [0 for i in range(N)]
          self.flag = True
          self.edge = [[] for i in range(N)]
  
      def dfs(self,v,pv):
          stack = [(v,pv)]
          new_parent = self.parent[pv]
          while stack:
              v,pv = stack.pop()
              self.parent[v] = new_parent
              for nv,w in self.edge[v]:
                  if nv!=pv:
                      self.val[nv] = self.val[v] + w
                      stack.append((nv,v))
  
      def unite(self,x,y,w):
          if not self.flag:
              return
          if self.parent[x]==self.parent[y]:
              self.flag = (self.val[x] - self.val[y] == w)
              return
  
          if self.size[self.parent[x]]>self.size[self.parent[y]]:
              self.edge[x].append((y,-w))
              self.edge[y].append((x,w))
              self.size[x] += self.size[y]
              self.val[y] = self.val[x] - w
              self.dfs(y,x)
          else:
              self.edge[x].append((y,-w))
              self.edge[y].append((x,w))
              self.size[y] += self.size[x]
              self.val[x] = self.val[y] + w
              self.dfs(x,y)
  
  class Dijkstra():
      class Edge():
          def __init__(self, _to, _cost):
              self.to = _to
              self.cost = _cost
  
      def __init__(self, V):
          self.G = [[] for i in range(V)]
          self._E = 0
          self._V = V
  
      @property
      def E(self):
          return self._E
  
      @property
      def V(self):
          return self._V
  
      def add_edge(self, _from, _to, _cost):
          self.G[_from].append(self.Edge(_to, _cost))
          self._E += 1
  
      def shortest_path(self, s):
          import heapq
          que = []
          d = [10**15] * self.V
          d[s] = 0
          heapq.heappush(que, (0, s))
  
          while len(que) != 0:
              cost, v = heapq.heappop(que)
              if d[v] < cost: continue
  
              for i in range(len(self.G[v])):
                  e = self.G[v][i]
                  if d[e.to] > d[v] + e.cost:
                      d[e.to] = d[v] + e.cost
                      heapq.heappush(que, (d[e.to], e.to))
          return d
  
  #Z[i]:length of the longest list starting from S[i] which is also a prefix of S
  #O(|S|)
  def Z_algorithm(s):
      N = len(s)
      Z_alg = [0]*N
  
      Z_alg[0] = N
      i = 1
      j = 0
      while i < N:
          while i+j < N and s[j] == s[i+j]:
              j += 1
          Z_alg[i] = j
          if j == 0:
              i += 1
              continue
          k = 1
          while i+k < N and k + Z_alg[k]<j:
              Z_alg[i+k] = Z_alg[k]
              k += 1
          i += k
          j -= k
      return Z_alg
  
  class BIT():
      def __init__(self,n,mod=0):
          self.BIT = [0]*(n+1)
          self.num = n
          self.mod = mod
  
      def query(self,idx):
          res_sum = 0
          mod = self.mod
          while idx > 0:
              res_sum += self.BIT[idx]
              if mod:
                  res_sum %= mod
              idx -= idx&(-idx)
          return res_sum
  
      #Ai += x O(logN)
      def update(self,idx,x):
          mod = self.mod
          while idx <= self.num:
              self.BIT[idx] += x
              if mod:
                  self.BIT[idx] %= mod
              idx += idx&(-idx)
          return
  
  class dancinglink():
      def __init__(self,n,debug=False):
          self.n = n
          self.debug = debug
          self._left = [i-1 for i in range(n)]
          self._right = [i+1 for i in range(n)]
          self.exist = [True for i in range(n)]
  
      def pop(self,k):
          if self.debug:
              assert self.exist[k]
          L = self._left[k]
          R = self._right[k]
          if L!=-1:
              if R!=self.n:
                  self._right[L],self._left[R] = R,L
              else:
                  self._right[L] = self.n
          elif R!=self.n:
              self._left[R] = -1
          self.exist[k] = False
  
      def left(self,idx,k=1):
          if self.debug:
              assert self.exist[idx]
          res = idx
          while k:
              res = self._left[res]
              if res==-1:
                  break
              k -= 1
          return res
  
      def right(self,idx,k=1):
          if self.debug:
              assert self.exist[idx]
          res = idx
          while k:
              res = self._right[res]
              if res==self.n:
                  break
              k -= 1
          return res
  
  class SparseTable():
      def __init__(self,A,merge_func,ide_ele):
          N=len(A)
          n=N.bit_length()
          self.table=[[ide_ele for i in range(n)] for i in range(N)]
          self.merge_func=merge_func
  
          for i in range(N):
              self.table[i][0]=A[i]
  
          for j in range(1,n):
              for i in range(0,N-2**j+1):
                  f=self.table[i][j-1]
                  s=self.table[i+2**(j-1)][j-1]
                  self.table[i][j]=self.merge_func(f,s)
  
      def query(self,s,t):
          b=t-s+1
          m=b.bit_length()-1
          return self.merge_func(self.table[s][m],self.table[t-2**m+1][m])
  
  class BinaryTrie:
      class node:
          def __init__(self,val):
              self.left = None
              self.right = None
              self.max = val
  
      def __init__(self):
          self.root = self.node(-10**15)
  
      def append(self,key,val):
          pos = self.root
          for i in range(29,-1,-1):
              pos.max = max(pos.max,val)
              if key>>i & 1:
                  if pos.right is None:
                      pos.right = self.node(val)
                      pos = pos.right
                  else:
                      pos = pos.right
              else:
                  if pos.left is None:
                      pos.left = self.node(val)
                      pos = pos.left
                  else:
                      pos = pos.left
          pos.max = max(pos.max,val)
  
      def search(self,M,xor):
          res = -10**15
          pos = self.root
          for i in range(29,-1,-1):
              if pos is None:
                  break
  
              if M>>i & 1:
                  if xor>>i & 1:
                      if pos.right:
                          res = max(res,pos.right.max)
                      pos = pos.left
                  else:
                      if pos.left:
                          res = max(res,pos.left.max)
                      pos = pos.right
              else:
                  if xor>>i & 1:
                      pos = pos.right
                  else:
                      pos = pos.left
  
          if pos:
              res = max(res,pos.max)
          return res
  
  def solveequation(edge,ans,n,m):
      #edge=[[to,dire,id]...]
      x=[0]*m
      used=[False]*n
      for v in range(n):
          if used[v]:
              continue
          y = dfs(v)
          if y!=0:
              return False
      return x
  
      def dfs(v):
          used[v]=True
          r=ans[v]
          for to,dire,id in edge[v]:
              if used[to]:
                  continue
              y=dfs(to)
              if dire==-1:
                  x[id]=y
              else:
                  x[id]=-y
              r+=y
          return r
  
  class SegmentTree:
      def __init__(self, init_val, segfunc, ide_ele):
          n = len(init_val)
          self.segfunc = segfunc
          self.ide_ele = ide_ele
          self.num = 1 << (n - 1).bit_length()
          self.tree = [ide_ele] * 2 * self.num
          self.size = n
          for i in range(n):
              self.tree[self.num + i] = init_val[i]
          for i in range(self.num - 1, 0, -1):
              self.tree[i] = self.segfunc(self.tree[2 * i], self.tree[2 * i + 1])
  
      def update(self, k, x):
          k += self.num
          self.tree[k] = x
          while k > 1:
              self.tree[k >> 1] = self.segfunc(self.tree[k], self.tree[k ^ 1])
              k >>= 1
  
      def query(self, l, r):
          if r==self.size:
              r = self.num
  
          res = self.ide_ele
  
          l += self.num
          r += self.num
          while l < r:
              if l & 1:
                  res = self.segfunc(res, self.tree[l])
                  l += 1
              if r & 1:
                  res = self.segfunc(res, self.tree[r - 1])
              l >>= 1
              r >>= 1
          return res
  
      def bisect_l(self,l,r,x):
          l += self.num
          r += self.num
          Lmin = -1
          Rmin = -1
          while l<r:
              if l & 1:
                  if self.tree[l] <= x and Lmin==-1:
                      Lmin = l
                  l += 1
              if r & 1:
                  if self.tree[r-1] <=x:
                      Rmin = r-1
              l >>= 1
              r >>= 1
  
          if Lmin != -1:
              pos = Lmin
              while pos<self.num:
                  if self.tree[2 * pos] <=x:
                      pos = 2 * pos
                  else:
                      pos = 2 * pos +1
              return pos-self.num
          elif Rmin != -1:
              pos = Rmin
              while pos<self.num:
                  if self.tree[2 * pos] <=x:
                      pos = 2 * pos
                  else:
                      pos = 2 * pos +1
              return pos-self.num
          else:
              return -1
  
  import sys,random,bisect
  from collections import deque,defaultdict
  from heapq import heapify,heappop,heappush
  from itertools import permutations
  from math import gcd,log
  
  input = lambda :sys.stdin.readline().rstrip()
  mi = lambda :map(int,input().split())
  li = lambda :list(mi())
  
  for _ in range(int(input())):
      s,n = mi()
      A = [0 for i in range(10)]
      for i in range(10):
          A[i] = s%10
          s //= 10
      
      res = []
      for i in range(10):
          t = pow(10,i)
          res += [t] * A[i]
      if len(res) >=n:
          res = res[:n-1] + [sum(res[i] for i in range(n-1,len(res)))]
          print(*res)
          continue
      
      one = [1]*A[0]
      res = [a for a in res if a!=1]
      cnt = len(one) + len(res)
      heapify(res)
      while cnt < n:
          a = heappop(res)
          cnt -= 1
          if a==10:
              cnt += 10
              one += [1] * 10
          else:
              cnt += 10
              for i in range(10):
                  heappush(res,a//10)
      
      res += one
      res = res[:n-1] + [sum(res[i] for i in range(n-1,len(res)))]
      print(*res)
      
  
  
  