START_TIME = Time.utc.to_unix_ms
TL         = 1900
N          = 2048
M          =  256
INF        = 1 << 29
RND        = Random.new(2)

macro debug(msg)
  {% if flag?(:trace) %}
    STDERR.puts({{msg}})
  {% end %}
end

macro debugf(format_string, *args)
  {% if flag?(:trace) %}
    STDERR.printf({{format_string}}, {{*args}})
  {% end %}
end

class IndexSet
  getter :upper

  def initialize(@upper : Int32)
    @que = [] of Int32
    @pos = Array(Int32).new(@upper, -1)
  end

  def add(v)
    if @pos[v] == -1
      @pos[v] = @que.size
      @que << v
    end
  end

  def remove(v)
    p = @pos[v]
    b = @que[-1]
    @que[p] = b
    @que.pop
    @pos[b] = p
    @pos[v] = -1
  end

  def get_random
    @que[RND.rand(@que.size)]
  end

  def size
    @que.size
  end

  def to_s(io)
    @que.to_s(io)
  end
end

class Result
  property :bits, :score

  def initialize(@bits : Array(Int32), @score : Int32)
  end

  def to_s(io)
    io << @bits.map { |v| v == -1 ? 0 : v }.reverse.join
  end
end

struct Cond
  getter :var, :val

  def initialize(@var : Int32, @val : Int32)
  end
end

alias Term = Tuple(Cond, Cond, Cond)

class Solver
  def initialize(@timelimit : Int64)
    @terms = Array(Term).new(N) do
      a, b, c, p, q, r = read_line.split.map(&.to_i)
      {Cond.new(a, p), Cond.new(b, q), Cond.new(c, r)}
    end
    @var_pos = Array(Array(Tuple(Int32, Int32))).new(M) { [] of Tuple(Int32, Int32) }
    N.times do |i|
      3.times do |j|
        term = @terms[i][j]
        @var_pos[term.var] << {i, term.val}
      end
    end
    @best_result = Result.new(Array.new(M, -1), 0)
    @ans = Array(Int32).new(M, -1)
    @search_order = [0, 1, 2]
    @dfs_count = 0
    @eval = Array(Int32).new(3, 0)
    @ok_count = Array(Int32).new(N, 0)
    @ng_count = Array(Int32).new(N, 0)
    @pass = Array(Bool).new(N) do |i|
      ts = @terms[i]
      [[0, 1], [1, 2], [2, 0]].any? { |ps| ts[ps[0]].var == ts[ps[1]].var && ts[ps[0]].var != ts[ps[1]].var }
    end
  end

  def solve
    solve_single()
    turn = 0
    while true
      if Time.utc.to_unix_ms > @timelimit
        break
      end
      solve_single()
      turn += 1
    end
    {% if flag?(:local) %}
      STDERR.puts("validate_score:#{score(@best_result.bits)}")
    {% end %}
    return @best_result
  end

  def solve_single
    @ans.fill(-1)
    @dfs_count = 0
    @ok_count.fill(0)
    # @ng_count.fill(0)
    pos = 0
    while pos < N
      if try_next(pos)
        while pos < N && @ok_count[pos] > 0
          pos += 1
        end
        if pos > @best_result.score
          @best_result.score = pos
          @best_result.bits[0, M] = @ans
          debug("best_score:#{pos}")
        end
        # if score(@ans) != pos
        #   debug("validate_score:#{score(@ans)} score:#{pos}")
        #   exit
        # end
      else
        break
      end
      if Time.utc.to_unix_ms > @timelimit
        break
      end
    end
  end

  def try_next(pos)
    shuffle(@search_order)
    3.times do |i|
      t = @terms[pos][@search_order[i]]
      if @ans[t.var] == -1
        @ans[t.var] = t.val
        @var_pos[t.var].each do |ps|
          p, v = ps
          if v == t.val
            @ok_count[p] += 1
            # else
            #   @ng_count[p] += 1
          end
        end
        return true
      end
    end
    300.times do
      set = IndexSet.new(N)
      set.add(pos)
      @dfs_count = 0
      if try_dfs(pos, set)
        return true
      end
      if Time.utc.to_unix_ms > @timelimit
        break
      end
    end
    return false
  end

  def try_dfs(pos, set)
    # debug("try_dfs:#{pos} #{set}")
    if set.size == 0
      return true
    end
    if @dfs_count > 100 || set.size > 7
      return false
    end
    cur = set.get_random
    shuffle(@search_order)
    tc = 0
    3.times do |i|
      t = @terms[cur][@search_order[i]]
      old = @ans[t.var]
      @ans[t.var] = t.val
      @var_pos[t.var].each do |ps|
        p, v = ps
        if v == t.val
          @ok_count[p] += 1
          # @ng_count[p] -= 1
          if p <= pos && @ok_count[p] == 1
            set.remove(p)
          end
        elsif old != -1
          @ok_count[p] -= 1
          # @ng_count[p] += 1
          if p <= pos && @ok_count[p] == 0
            set.add(p)
          end
        end
      end
      tc += 1
      if tc == 2
        @dfs_count += 1
      end
      if try_dfs(pos, set)
        return true
      end
      @ans[t.var] = old
      @var_pos[t.var].each do |ps|
        p, v = ps
        if v == t.val
          @ok_count[p] -= 1
          # @ng_count[p] += 1
          if p <= pos && @ok_count[p] == 0
            set.add(p)
          end
        elsif old != -1
          @ok_count[p] += 1
          # @ng_count[p] -= 1
          if p <= pos && @ok_count[p] == 1
            set.remove(p)
          end
        end
      end
    end
    return false
  end

  def shuffle(a)
    (a.size - 1).times do |i|
      pos = RND.rand(a.size - i) + i
      a[i], a[pos] = a[pos], a[i]
    end
  end

  def score(ans)
    N.times do |i|
      if @terms[i].all? { |t| ans[t.var] != t.val }
        return i
      end
    end
    return N
  end
end

def main
  solver = Solver.new(START_TIME + TL)
  res = solver.solve
  puts res
  {% if flag?(:local) %}
    STDERR.puts("final_score:#{res.score}")
  {% end %}
end

main