Problem:
Score : 300 points

Problem Statement

Iroha is very particular about numbers. There are K digits that she dislikes: D_1, D_2, ..., D_K.

She is shopping, and now paying at the cashier.
Her total is N yen (the currency of Japan), thus she has to hand at least N yen to the cashier (and possibly receive the change).

However, as mentioned before, she is very particular about numbers. When she hands money to the cashier, the decimal notation of the amount must not contain any digits that she dislikes. Under this condition, she will hand the minimum amount of money.

Find the amount of money that she will hand to the cashier.

Constraints

1 ≦ N < 10000

1 ≦ K < 10

0 ≦ D_1 < D_2 < … < D_K≦9

\{D_1,D_2,...,D_K\} ≠ \{1,2,3,4,5,6,7,8,9\}

Input

The input is given from Standard Input in the following format:

N K
D_1 D_2 … D_K

Output

Print the amount of money that Iroha will hand to the cashier.

Sample Input 1

1000 8
1 3 4 5 6 7 8 9

Sample Output 1

2000

She dislikes all digits except 0 and 2.

The smallest integer equal to or greater than N=1000 whose decimal notation contains only 0 and 2, is 2000.

Sample Input 2

9999 1
0

Sample Output 2

9999

Solution in Ruby (2.3.3) (judge verdict: Wrong Answer)

n,k = gets.split("\s").map {|s|s.to_i}
d_list = gets.split("\s").map {|s|s.to_i}
a_list = [0,1,2,3,4,5,6,7,8,9]

c_list = []
a_list.each do |a|
  dbl = false
  d_list.each do |d|
    dbl = true if(a==d)
  end
  c_list.push(a) if(dbl==false)
end
c_list.sort!

s = ""
n = n.to_s
(n.size).times do |i|
  #puts "-- #{n[i]}"
  c_list.each do |dn|
    if(i==0)then
      next if(dn==0)
    end
    if(n[i].to_i <= dn)then
      s += dn.to_s
      break
    end
  end
end

if(c_list[0]==0)then
  min = c_list[1]
else
  min = c_list[0]
end

if(s.size!=0)then
  puts s
else
  s += min.to_s
  (n.size).times do |i|
    c_list.each do |dn|
      s += dn.to_s
      break
    end
  end
  puts s
end