Problem: 2050D - Digital string maximization
Language: PyPy 3-64


Submission (verdict: Wrong answer on test 1):
def Sieve(num):
    l2=[]
    prime = [True for i in range(num+1)]
    p = 2
    while (p * p <= num):
        if (prime[p] == True):
            for i in range(p * p, num+1, p):
                prime[i] = False
        p += 1
    for p in range(2, num+1):
        if prime[p]:
            l2.append(p)
    return((l2))
# s = Sieve(50)

def op(x,y):
    # print("X==",x)
    # print("Y==",y)
    return(x+y)
class segtree():
  def __init__(self,init,func,ide):
    self.n=len(init)
    self.func=func
    self.ide=ide
    self.size=1<<(self.n-1).bit_length()
    self.tree=[self.ide for i in range(2*self.size)]
    for i in range(self.n):
      self.tree[self.size+i]=init[i]
    for i in range(self.size-1,0,-1):
      self.tree[i]=self.func(self.tree[2*i], self.tree[(2*i)|1])
  
  def update(self,k,x):
    k+=self.size
    self.tree[k]=x

    k>>=1
    while k:
      self.tree[k]=self.func(self.tree[2*k],self.tree[k*2|1])
      k>>=1
  
  def get(self,i):
    return self.tree[i+self.size]
  
  def query(self,l,r):
    # Include left index but not right
    l+=self.size
    r+=self.size
    ans=0
    while l<r:
      if l&1:
        ans+= self.tree[l]
        l+=1
      if r&1:
        r-=1
        ans+= self.tree[r]
      l>>=1
      r>>=1
    return ans
  
  def debug(self,s=10):
    print([self.get(i) for i in range(min(self.n,s))])

class sortedlist:
    def __init__(self, iterable=[], _load=200):
        """Initialize sorted list instance."""
        values = sorted(iterable)
        self._len = _len = len(values)
        self._load = _load
        self._lists = _lists = [values[i:i + _load] for i in range(0, _len, _load)]
        self._list_lens = [len(_list) for _list in _lists]
        self._mins = [_list[0] for _list in _lists]
        self._fen_tree = []
        self._rebuild = True
 
    def _fen_build(self):
        """Build a fenwick tree instance."""
        self._fen_tree[:] = self._list_lens
        _fen_tree = self._fen_tree
        for i in range(len(_fen_tree)):
            if i | i + 1 < len(_fen_tree):
                _fen_tree[i | i + 1] += _fen_tree[i]
        self._rebuild = False
 
    def _fen_update(self, index, value):
        """Update `fen_tree[index] += value`."""
        if not self._rebuild:
            _fen_tree = self._fen_tree
            while index < len(_fen_tree):
                _fen_tree[index] += value
                index |= index + 1
 
    def _fen_query(self, end):
        """Return `sum(_fen_tree[:end])`."""
        if self._rebuild:
            self._fen_build()
 
        _fen_tree = self._fen_tree
        x = 0
        while end:
            x += _fen_tree[end - 1]
            end &= end - 1
        return x
 
    def _fen_findkth(self, k):
        """Return a pair of (the largest `idx` such that `sum(_fen_tree[:idx]) <= k`, `k - sum(_fen_tree[:idx])`)."""
        _list_lens = self._list_lens
        if k < _list_lens[0]:
            return 0, k
        if k >= self._len - _list_lens[-1]:
            return len(_list_lens) - 1, k + _list_lens[-1] - self._len
        if self._rebuild:
            self._fen_build()
 
        _fen_tree = self._fen_tree
        idx = -1
        for d in reversed(range(len(_fen_tree).bit_length())):
            right_idx = idx + (1 << d)
            if right_idx < len(_fen_tree) and k >= _fen_tree[right_idx]:
                idx = right_idx
                k -= _fen_tree[idx]
        return idx + 1, k
 
    def _delete(self, pos, idx):
        """Delete value at the given `(pos, idx)`."""
        _lists = self._lists
        _mins = self._mins
        _list_lens = self._list_lens
 
        self._len -= 1
        self._fen_update(pos, -1)
        del _lists[pos][idx]
        _list_lens[pos] -= 1
 
        if _list_lens[pos]:
            _mins[pos] = _lists[pos][0]
        else:
            del _lists[pos]
            del _list_lens[pos]
            del _mins[pos]
            self._rebuild = True
 
    def _loc_left(self, value):
        """Return an index pair that corresponds to the first position of `value` in the sorted list."""
        if not self._len:
            return 0, 0
 
        _lists = self._lists
        _mins = self._mins
 
        lo, pos = -1, len(_lists) - 1
        while lo + 1 < pos:
            mi = (lo + pos) >> 1
            if value <= _mins[mi]:
                pos = mi
            else:
                lo = mi
 
        if pos and value <= _lists[pos - 1][-1]:
            pos -= 1
 
        _list = _lists[pos]
        lo, idx = -1, len(_list)
        while lo + 1 < idx:
            mi = (lo + idx) >> 1
            if value <= _list[mi]:
                idx = mi
            else:
                lo = mi
 
        return pos, idx
 
    def _loc_right(self, value):
        """Return an index pair that corresponds to the last position of `value` in the sorted list."""
        if not self._len:
            return 0, 0
 
        _lists = self._lists
        _mins = self._mins
 
        pos, hi = 0, len(_lists)
        while pos + 1 < hi:
            mi = (pos + hi) >> 1
            if value < _mins[mi]:
                hi = mi
            else:
                pos = mi
 
        _list = _lists[pos]
        lo, idx = -1, len(_list)
        while lo + 1 < idx:
            mi = (lo + idx) >> 1
            if value < _list[mi]:
                idx = mi
            else:
                lo = mi
 
        return pos, idx
 
    def add(self, value):
        """Add `value` to sorted list."""
        _load = self._load
        _lists = self._lists
        _mins = self._mins
        _list_lens = self._list_lens
 
        self._len += 1
        if _lists:
            pos, idx = self._loc_right(value)
            self._fen_update(pos, 1)
            _list = _lists[pos]
            _list.insert(idx, value)
            _list_lens[pos] += 1
            _mins[pos] = _list[0]
            if _load + _load < len(_list):
                _lists.insert(pos + 1, _list[_load:])
                _list_lens.insert(pos + 1, len(_list) - _load)
                _mins.insert(pos + 1, _list[_load])
                _list_lens[pos] = _load
                del _list[_load:]
                self._rebuild = True
        else:
            _lists.append([value])
            _mins.append(value)
            _list_lens.append(1)
            self._rebuild = True
 
    def discard(self, value):
        """Remove `value` from sorted list if it is a member."""
        _lists = self._lists
        if _lists:
            pos, idx = self._loc_right(value)
            if idx and _lists[pos][idx - 1] == value:
                self._delete(pos, idx - 1)
 
    def remove(self, value):
        """Remove `value` from sorted list; `value` must be a member."""
        _len = self._len
        self.discard(value)
        if _len == self._len:
            raise ValueError('{0!r} not in list'.format(value))
 
    def pop(self, index=-1):
        """Remove and return value at `index` in sorted list."""
        pos, idx = self._fen_findkth(self._len + index if index < 0 else index)
        value = self._lists[pos][idx]
        self._delete(pos, idx)
        return value
 
    def bisect_left(self, value):
        """Return the first index to insert `value` in the sorted list."""
        pos, idx = self._loc_left(value)
        return self._fen_query(pos) + idx
 
    def bisect_right(self, value):
        """Return the last index to insert `value` in the sorted list."""
        pos, idx = self._loc_right(value)
        return self._fen_query(pos) + idx
 
    def count(self, value):
        """Return number of occurrences of `value` in the sorted list."""
        return self.bisect_right(value) - self.bisect_left(value)
 
    def __len__(self):
        """Return the size of the sorted list."""
        return self._len
 
    def __getitem__(self, index):
        """Lookup value at `index` in sorted list."""
        pos, idx = self._fen_findkth(self._len + index if index < 0 else index)
        return self._lists[pos][idx]
 
    def __delitem__(self, index):
        """Remove value at `index` from sorted list."""
        pos, idx = self._fen_findkth(self._len + index if index < 0 else index)
        self._delete(pos, idx)
 
    def __contains__(self, value):
        """Return true if `value` is an element of the sorted list."""
        _lists = self._lists
        if _lists:
            pos, idx = self._loc_left(value)
            return idx < len(_lists[pos]) and _lists[pos][idx] == value
        return False
 
    def __iter__(self):
        """Return an iterator over the sorted list."""
        return (value for _list in self._lists for value in _list)
 
    def __reversed__(self):
        """Return a reverse iterator over the sorted list."""
        return (value for _list in reversed(self._lists) for value in reversed(_list))
 
    def __repr__(self):
        """Return string representation of sorted list."""
        return 'SortedList({0})'.format(list(self))


from collections import deque,defaultdict
g = defaultdict()
def bfs(g, start):
    queue, enqueued = deque([(None, start)]), set([start])
    while queue:
        parent, n = queue.popleft()
        yield parent, n
        # Can use a variable fin, and break if n==fin
        new = set(g[n]) - enqueued
        enqueued |= new
        queue.extend([(n, child) for child in new])
# list(bfs(dict,initial pt)) gives ==> [(None,start),(start,x1),(x1,x2),(x1,x3),(x2,finish)]

class dsu:
    def __init__(self, n):
        self.parent = list(range(n))
        self.size = [1 for i in range(n)]
        self.num_sets = n
    def find(self, a):
        acopy = a
        while a != self.parent[a]:
            a = self.parent[a]
        while acopy != a:
            self.parent[acopy], acopy = a, self.parent[acopy]
        return a
    def union(self, a, b):
        a, b = self.find(a), self.find(b)
        if a != b:
            if self.size[a] < self.size[b]:
                a, b = b, a
            self.num_sets -= 1
            self.parent[b] = a
            self.size[a] += self.size[b]
            
# Initialize with u = dsu(No. of ele)[No.+1 for index out of range]
# Use while acopy != a loop to find tree-like properties


# Custom HashMap and Set for Anti-hash-table test
class CustomHashMap:
    def __init__(self, type = dict, arr = []):
        self.RANDOM = random.randrange(2**62)
        self.dict = type([self.wrapper(i) for i in arr])
    def wrapper(self,num):
        return num ^ self.RANDOM
    def __setitem__(self, key, value):
        self.dict[self.wrapper(key)] = value
    def __getitem__(self, key):
        return self.dict[self.wrapper(key)]
    def __contains__(self, key):
        return self.wrapper(key) in self.dict
    def __iter__(self):
        return iter(self.wrapper(i) for i in self.dict)
    def items(self):
        return [(self.wrapper(i),j) for i,j in self.dict.items()]
    def __repr__(self):
        return repr({self.wrapper(i):j for i,j in self.dict.items()})
#Use akin: a = CustomHashMap(Counter,a)  : {a is a LIST})
#          a.items() is a number of tuples like (2,3); len(a.items()) to get len(a)

from random import randint
# Random number from 1 to 10^9
RANDOM = randint(1, 10 ** 9)
class h(int):
    def __init__(self, x):
        int.__init__(x)

    def __hash__(self):
        return super(h, self).__hash__() ^ RANDOM
# h(x) gives a changed value of x which wont hash-collide

def pfactor(n):
    ans=defaultdict(int)
    s = Sieve(ceil(n**0.5))
    # print(s)
    for i in s:
        x = divmod(n,i)
        # print("X==",x)
        while(x[1]==0):
            ans[i]+=1
            n = x[0]
            x = divmod(n,i)
        if(n==1):
            break
    if(n!=1):
        ans[n]+=1
    return(ans)
# Returns a defaultdict of prime factorization   

# Calculate nCr%p
def ncr(n, r, p):
    num = den = 1
    for i in range(r):
        num = (num * (n - i)) % p
        den = (den * (i + 1)) % p
    return (num * pow(den,p - 2, p)) % p

def factor(n):
  lower,upper=[],[]
  i=1
  while i*i<=n:
    if n%i==0:
      lower.append(i)
      if i!=n//i:
        upper.append(n//i)
    i+=1
  return lower+upper[::-1]



import random
from sys import stdin,stdout
input=lambda :stdin.readline()[:-1]
from collections import defaultdict, Counter, deque, OrderedDict
import itertools;from itertools import permutations as perms, combinations as combs,combinations_with_replacement 
from bisect import bisect_left, bisect_right
from heapq import heapify, heappush, heappop, nlargest, nsmallest
import math
from functools import reduce
from math import inf,floor,ceil,comb,lcm,gcd,log2
from operator import itemgetter



def solve():
    a = list(map(int,list(str(input()))))    
    n = len(a)
    # print("A==",a)
    ans = [-1 for i in range(n)]
    c = []
    f= 0
    for i in range(n):
        if(i==0):
            for j in range(min(11,n)):
                c.append([a[f],f])
                f+=1
        else:
            if(f<n):
                c.append([a[f],f])
                f+=1
        t =  0; v=  -1
        for j in range(len(c)):
            if(c[j][1]<i):
                if(c[j][0]>v):
                    t= j
                    v = c[j][0]
            else:
                if(c[j][0]-c[j][1]+i>v):
                    t = j
                    v = c[j][0]-c[j][1]+i
        x = c.pop(t)
        ans[i] = v

    # print("ANS==",ans)
    print(*ans)
for _ in range(int(input())):
    solve()