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 Python (3.4.3) (judge verdict: Runtime Error)

# 0〜9
l=list(range(10))

# 入力
N,K=map(str,input().split())
l2=list(map(int,input().split()))

ans=''
f=False

# 使用可能な数字を求める
for x in l2:
  l.remove(x)

# Nと桁数が一致する場合
if int(N[0])<l[-1]:
  for i in range(len(N)):
    for x in l:
      if f:
        ans+=str(x)
        break
      elif int(N[i])<x:
        f=True
        ans+=str(x)
        break
      elif int(N[i])==x:
        ans+=str(x)
        break
# Nと桁数が一致する可能性がある場合
elif int(N[0])==l[-1]:
  l3=list(N[1:])
  l3=list(map(int,set(l3)))
  l3.sort()

  # Nと桁数が一致しない
  if l3[-1]>l[-1]:
    # 最上位は0以外の最小の数にする
    if l[0]==0:
      ans+=str(l[1])
      ans+='0'*len(N)
    else:
      ans+=str(l[0])*(len(N)+1)

  # Nと桁数が一致する
  else:
    for i in range(len(N)):
      for x in l:
        if f:
          ans+=str(x)
          break
        elif int(N[i])<x:
          f=True
          ans+=str(x)
          break
        elif int(N[i])==x:
          ans+=str(x)
          break

# Nと桁数が一致しない場合
else:
  # 最上位は0以外の最小の数にする
  if l[0]==0:
    ans+=str(l[1])
    ans+='0'*len(N)
  else:
    ans+=str(l[0])*(len(N)+1)

# 出力
print(ans)