qyliang/CodeNanoFix huggingface dataset:
Buggy code:
n,m=map(int,input().split())
A=reversed(sorted(map(int,input().split())))
M=[2,5,5,4,5,6,3,7,6]
D={}
E={}
for a in A:
    if M[a-1] in D:
        continue
    else:
        D[M[a-1]]=a
        E[a]=M[a-1]
S=list(reversed(sorted(E)))
        
dp=[0]*(n+2)
for i in range(1,n+2):
    cnt=-1
    for d in D:
        if i-d>=0:
            if dp[i-d]!=-1:
                cnt=max(dp[i-d]+1,cnt)
    dp[i]=cnt    
k=dp[n]
ans=""


print(dp)
while k>0:
    for s in S:
        x=E[s]
        if dp[n-x]==k-1:
            ans+=str(s)
            k-=1
            n-=x
            break
print(ans)

Fixed code:
n,m=map(int,input().split())
A=reversed(sorted(map(int,input().split())))
M=[2,5,5,4,5,6,3,7,6]
D={}
E={}
for a in A:
    if M[a-1] in D:
        continue
    else:
        D[M[a-1]]=a
        E[a]=M[a-1]
S=list(reversed(sorted(E)))
        
dp=[0]*(n+2)
for i in range(1,n+2):
    cnt=-1
    for d in D:
        if i-d>=0:
            if dp[i-d]!=-1:
                cnt=max(dp[i-d]+1,cnt)
    dp[i]=cnt    
k=dp[n]
ans=""

while k>0:
    for s in S:
        x=E[s]
        if n-x<0:
            continue
        if dp[n-x]==k-1:
            ans+=str(s)
            k-=1
            n-=x
            break
print(ans)
Buggy code:
N, M = map(int, input().split())
A = list(map(int, input().split()))

dp = [-1] * (N+1)
need = [0, 2, 5, 5, 4, 5, 6, 3, 7, 6]
dp[0] = 0

for i in range(N+1):
    for j in A:
        if i + need[j] > N:
            continue
        dp[i+need[j]] = max(dp[i+need[j]], dp[i]*10+j])
print(dp[N])

Fixed code:
N, M = map(int, input().split())
A = list(map(int, input().split()))

dp = [-1] * (N+1)
need = [0, 2, 5, 5, 4, 5, 6, 3, 7, 6]
dp[0] = 0

for i in range(N+1):
    for j in A:
        if i + need[j] > N:
            continue
        dp[i+need[j]] = max(dp[i+need[j]], dp[i]*10+j)
print(dp[N])
Buggy code:
import sys
sys.setrecursionlimit(10 ** 10)
lst = [[1,2], [2, 5], [3, 5], [4, 4], [5, 5], [6, 6], [7, 3], [8, 7], [9, 6]]
N, M = map(int, input().split())
A = list(map(int, input().split()))
A.sort(reverse = True)
# print (A)

def num(k):
    return lst[k-1][1]

# for i in A:
    # print (num(i), end = ', ')
# print ()

INF = 10 ** 9
dp_lst = [-INF] * (N + 1)
dp_lst[0] = 0
def dp(i):
    if dp_lst[i] != -INF:
        return dp_lst[i]
    tmp = -INF
    for j in A:
        if i >= num(j):
            tmp = max(tmp, dp(i - num(j)) + 1)
    dp_lst[i] = tmp
    return dp_lst[i]

a = dp(N)
# print (a)
# print (dp_lst)   
# print ([0] * 10 +[i+1 for i in range(20)])

# print (len(str(71111111111111111111111111111111111111111111111111)))

def check(A):
    if dp_lst[N-num(A)] == dp_lst[N] - 1:
        return True
    else:
        return False

# print (a)
while a > 0:
    for i in A:
        if check(i):
            print (i, end = '')
            N -= num(i)
            a -= 1
            break
        else:
            pass
            # print ('B')
print ()

Fixed code:
import sys
sys.setrecursionlimit(10 ** 5)
lst = [[1,2], [2, 5], [3, 5], [4, 4], [5, 5], [6, 6], [7, 3], [8, 7], [9, 6]]
N, M = map(int, input().split())
A = list(map(int, input().split()))
A.sort(reverse = True)
# print (A)

def num(k):
    return lst[k-1][1]

# for i in A:
    # print (num(i), end = ', ')
# print ()

INF = 10 ** 5
dp_lst = [-INF] * (N + 1)
dp_lst[0] = 0
def dp(i):
    if dp_lst[i] != -INF:
        return dp_lst[i]
    tmp = -INF
    for j in A:
        if i >= num(j):
            tmp = max(tmp, dp(i - num(j)) + 1)
    dp_lst[i] = tmp
    return dp_lst[i]

a = dp(N)
# print (a)
# print (dp_lst)   
# print ([0] * 10 +[i+1 for i in range(20)])

# print (len(str(71111111111111111111111111111111111111111111111111)))

def check(A):
    if N - num(A) < 0:
        return False
    if dp_lst[N-num(A)] == dp_lst[N] - 1:
        return True
    else:
        return False

# print (a)
while a > 0:
    for i in A:
        if check(i):
            print (i, end = '')
            N -= num(i)
            a -= 1
            break
        else:
            pass
            # print ('B')
print ()
Buggy code:
N,M = map(int,input().split())
A = list(map(int,input().split()))
weight = [2,5,5,4,5,6,3,7,6]
dp=[-1]*(N+1)
dp[0] = 0
for i in range(N+1):
    if dp[i] == -1:continue
    for a in A:
        if i+weight[a]<N+1:
            dp[i+weight[a]] = max(dp[i+weight[a]],dp[i]*10+a)
print(dp[-1])

Fixed code:
N,M=map(int,input().split())
A=list(map(int,input().split()))

weight=[0,2,5,5,4,5,6,3,7,6]
dp = [-1] * (N+1)
dp[0] = 0
for i in range(N+1):
  for a in A:
    if i+weight[a] < N+1:
      dp[i+weight[a]] = max(dp[i+weight[a]], dp[i]*10+a)
print(dp[N])
Buggy code:
N,M = map(int,input().split())
A = list(map(int,input().split()))
weight = [0,2,5,5,4,5,6,3,7,6]
dp=[-1]*(N+1)
dp[0] = 0

for i in range(N+1):
  if dp[i] == -1: continue
  for a in A:
    if i+weight[a]<N+1:
      dp[i+weight[a]] = max(dp[i+weight[a]],dp[i]*10+a)
      print(dp)

print(dp[-1])

Fixed code:
N,M = map(int,input().split())
A = list(map(int,input().split()))
weight = [0,2,5,5,4,5,6,3,7,6]
dp=[-1]*(N+1)
dp[0] = 0

for i in range(N+1):
  if dp[i] == -1: continue
  for a in A:
    if i+weight[a]<N+1:
      dp[i+weight[a]] = max(dp[i+weight[a]],dp[i]*10+a)

print(dp[-1])
Buggy code:
N,M = map(int, input().split())
am = list(map(int, input().split()))
c = [0,2,5,5,4,5,6,3,7,6]
f = [-1]*10010
f[0]=0
for i in range(1,n+1):
    for x in a:
        if i-c[x] >= 0:
            f[i] = max(f[i], f[i-c[x]]*10 +x)
            
print(f[n])

Fixed code:
N,M = map(int, input().split())
am = list(map(int, input().split()))
c = [0,2,5,5,4,5,6,3,7,6]
f = [-1]*10010
f[0]=0
for i in range(1,N+1):
    for x in am:
        if i-c[x] >= 0:
            f[i] = max(f[i], f[i-c[x]]*10 +x)
            
print(f[N])
Buggy code:
def max_for_str(a, b):
    if len(a) > len(b):
        return a
    elif len(a) < len(b):
        return b
    else:#This case is unlikely to happen.
        for c1, c2 in zip(a, b):
            if c1 > c2:
                return a
            elif c1 < c2:
                return b
        return a
            
match = [0, 2, 5, 5, 4, 5, 6, 3, 7, 6]

N, M = map(int, input().split())
As = list(input().split())

dp = [None] * (N+1)
dp[0] = ""

for i in range(N+1):
    for A in As:
        if i - match[int(A)] >= 0 and not dp[i - match[int(A)]] is None:
            if dp[i] is None:
                if A >= dp[i - match[int(A)]]:
                    dp[i] = A + dp[i - match[int(A)]]
            else:
                dp[i] = max_for_str(dp[i] , A + dp[i - match[int(A)]])
                
print(dp[N])

Fixed code:
def max_for_str(a, b):
    if len(a) > len(b):
        return a
    elif len(a) < len(b):
        return b
    else:#This case is unlikely to happen.
        for c1, c2 in zip(a, b):
            if c1 > c2:
                return a
            elif c1 < c2:
                return b
        return a
            
match = [0, 2, 5, 5, 4, 5, 6, 3, 7, 6]

N, M = map(int, input().split())
As = list(input().split())

dp = [None] * (N+1)
dp[0] = ""

for i in range(N+1):
    for A in As:
        if i - match[int(A)] >= 0 and not dp[i - match[int(A)]] is None:
            if dp[i] is None:
                dp[i] = A + dp[i - match[int(A)]]
            else:
                dp[i] = max_for_str(dp[i] , A + dp[i - match[int(A)]])

print(dp[N])
Buggy code:
n,m=map(int, input().split())
List=list(map(int, input().split()))
#d=[0]*n*9+[-1]*n*9
print(d)
for i in range(1, n+1):
    d[i]=max(d[i-int("0255456376"[a])]*10+a for a in List)
print(d[n])


Fixed code:
n,m=map(int, input().split())
List=list(map(int, input().split()))
d=[0]*n*9+[-1]*n*9
#print(d)
for i in range(1, n+1):
    d[i]=max(d[i-int("0255456376"[a])]*10+a for a in List)
print(d[n])
Buggy code:
#encoding: utf-8

N, M = map(int, input().split())
A = list(map(int, input().split()))
match = [0, 2, 5, 5, 4, 5, 6, 3, 7, 6]

A.sort()
A.reverse()

dp = [-1] * (N + 1)
dp[0] = 0

for i in range(N + 1):
    for a in A:
        if i - match[a] >= 0:
            dp[i] = max(dp[i - match[a]] * 10 + a, dp[i])
    print(dp)

print(dp[N])


Fixed code:
#encoding: utf-8

N, M = map(int, input().split())
A = list(map(int, input().split()))
match = [0, 2, 5, 5, 4, 5, 6, 3, 7, 6]

A.sort()
A.reverse()

dp = [-1] * (N + 1)
dp[0] = 0

for i in range(N + 1):
    for a in A:
        if i - match[a] >= 0:
            dp[i] = max(dp[i - match[a]] * 10 + a, dp[i])

print(dp[N])
Buggy code:
# python template for atcoder1
import sys
sys.setrecursionlimit(10**9)
input = sys.stdin.readline
N, M = map(int, input().split())
A = list(map(int, input().split()))
A = sorted(A, reverse=True)

nums = {}
nums[1] = 2
nums[2] = 5
nums[3] = 5
nums[4] = 4
nums[5] = 5
nums[6] = 6
nums[7] = 3
nums[8] = 7
nums[9] = 6

dp = [0]*(N+1)

for i in range(1, N+1):
    make = True
    for a in A:
        if i-a >= 0:
            dp[i] = max(1, dp[i-nums[a]]+1)
            make = False
    if make:
        dp[i] = -float('inf')

ans = ""
i = N
while i > 0:
    for a in A:
        if dp[i]-1 == dp[i-nums[a]]:
            ans += str(a)
            i = i-nums[a]
            break
print(ans)


Fixed code:
# python template for atcoder1
import sys
sys.setrecursionlimit(10**9)
input = sys.stdin.readline
N, M = map(int, input().split())
A = list(map(int, input().split()))
A = sorted(A, reverse=True)

nums = {}
nums[1] = 2
nums[2] = 5
nums[3] = 5
nums[4] = 4
nums[5] = 5
nums[6] = 6
nums[7] = 3
nums[8] = 7
nums[9] = 6

dp = [-float('inf')]*(N+1)
dp[0] = 0

for i in range(N+1):
    for a in A:
        if i-nums[a] >= 0:
            dp[i] = max(dp[i], dp[i-nums[a]]+1)

ans = ""
i = N
while i > 0:
    for a in A:
        if i >= nums[a] and dp[i]-1 == dp[i-nums[a]]:
            ans += str(a)
            i = i-nums[a]
            break
print(ans)
Buggy code:
n, m = map(int, input().split())
lst = list(map(int, input().split()))
lst = sorted(lst, key = lambda x:-x)
dic = {1:2, 2:5, 3:5, 4:4, 5:5, 6:6, 7:3, 8:7, 9:6}

s = set()
for i in lst:
    s.add(dic[i])
s = list(sorted(s))

dp = [0] * (n+1)
for i in range(0, n+1):
    max_a = 0
    for j in s:
        if i == j:
            max_a = 1
        elif i - j >= 0 and dp[i-j] > 0:
            a = dp[i-j] + 1
            if max_a < a:
                max_a = a
    dp[i] = max_a

def out(dp, dic, n, ans, ans_digit, lst):
    if len(ans) == ans_digit-1:
        for i in lst:
            if n == dic[i]:
                return ans + str(i)
    else:
        for i in lst:
            if n - dic[i] >= 0:
                if dp[n] -1 == dp[n-dic[i]]:
                    ans += str(i)
                    next_n = n - dic[i]
                    break
        return out(dp, dic, next_n, ans, ans_digit, lst)
    
print(out(dp, dic, n, '', dp[n], lst))

Fixed code:
n, m = map(int, input().split())
lst = list(map(int, input().split()))
lst = sorted(lst, key = lambda x:-x)
dic = {1:2, 2:5, 3:5, 4:4, 5:5, 6:6, 7:3, 8:7, 9:6}

s = set()
for i in lst:
    s.add(dic[i])
s = list(sorted(s))

dp = [0] * (n+1)
for i in range(0, n+1):
    a = 0
    max_a = 0
    for j in s:
        if i-j < 0:
            pass
        elif i == j:
            a = 1
        elif i - j > 0 and dp[i-j] > 0:
            a = dp[i-j] + 1
        if max_a < a:
            max_a = a
    dp[i] = max_a

ans = ''
ans_digit = dp[n]
while len(ans) < ans_digit:
    if len(ans) == ans_digit-1:
        for i in lst:
            if n == dic[i]:
                ans += str(i)
                break
    else:
        for i in lst:
            if n - dic[i] >= 0:
                if dp[n] -1 == dp[n-dic[i]]:
                    ans += str(i)
                    n -= dic[i]
                    break
    
print(ans)
Buggy code:
a,b=list(map(int,input().split()))
X={1:2,2:5,3:5,4:4,5:5,6:6,7:3,8:7,9:6}
A=list(map(int,input().split()))
B=[v for k,v in X.items() if k in A]
print(B)
DP=[0]+[[] for i in range(10**4+1)]
L=[[] for i in range(10**4+1)]
for i in range(10):
    if i in B:
        DP[i]=1
        L[i].append(i)
#print(DP)
for i in range(1,10**4+1):
    if [DP[i-j] for j in B if i-j>=0 and not DP[i-j]==[]]==[]:
        DP[i]=[]
    else:
#        print(i,[DP[i-j] for j in B if i-j>=0 and not DP[i-j]==[]])
        M=[DP[i-j] for j in B if i-j>=0 and not DP[i-j]==[]]
        DP[i]=max([DP[i-j] for j in B if i-j>=0 and not DP[i-j]==[]])+1
        l=[0]
        for t in B:
            if not DP[i-t]==[] and DP[i]==DP[i-t]+1:
                l=l+[k for k,v in X.items() if v==t and k in A]
                L[i]=L[i-t]+[max(l)]
L[a].sort(reverse=True)
s='0'
for i in L[a]:
    s+=str(i)
print(int(s))

Fixed code:
a,b=list(map(int,input().split()))
X={1:2,2:5,3:5,4:4,5:5,6:6,7:3,8:7,9:6}
A=list(map(int,input().split()))
B=[v for k,v in X.items() if k in A]
#print(B)
DP=[0]+[[] for i in range(10**4+1)]
L=[[] for i in range(10**4+1)]
for i in range(10):
    if i in B:
        DP[i]=1
        L[i].append(i)
#print(DP)
for i in range(1,10**4+1):
    if [DP[i-j] for j in B if i-j>=0 and not DP[i-j]==[]]==[]:
        DP[i]=[]
    else:
#        print(i,[DP[i-j] for j in B if i-j>=0 and not DP[i-j]==[]])
        M=[DP[i-j] for j in B if i-j>=0 and not DP[i-j]==[]]
        DP[i]=max([DP[i-j] for j in B if i-j>=0 and not DP[i-j]==[]])+1
        l=[0]
        for t in B:
            if not DP[i-t]==[] and DP[i]==DP[i-t]+1:
                l=l+[k for k,v in X.items() if v==t and k in A]
                L[i]=L[i-t]+[max(l)]
L[a].sort(reverse=True)
s='0'
for i in L[a]:
    s+=str(i)
print(int(s))
Buggy code:
from collections import defaultdict
N,M,*A = map(int, open('0').read().split())
ls = [0]*10
ls[1] = 2
ls[2] = 5
ls[3] = 5
ls[4] = 4
ls[5] = 5
ls[6] = 6
ls[7] = 3
ls[8] = 7
ls[9] = 6
dic = defaultdict(int)
for a in A:
  k = ls[a]
  dic[k] = max(dic[k],a)
dp = [-1]*(N+1)
for k in dic.keys():
  if k>N:
    continue
  dp[k] = dic[k]
for i in range(N+1):
  for k in dic.keys():
    if i-k>0 and dp[i-k]!=-1:
      s = str(dp[i-k])
      m = int(s+str(dic[k]))
      dp[i] = max(dp[i], m)
print(dp[N])

Fixed code:
from collections import defaultdict
N,M,*A = map(int, open(0).read().split())
ls = [0]*10
ls[1] = 2
ls[2] = 5
ls[3] = 5
ls[4] = 4
ls[5] = 5
ls[6] = 6
ls[7] = 3
ls[8] = 7
ls[9] = 6
dic = defaultdict(int)
for a in A:
  k = ls[a]
  dic[k] = max(dic[k],a)
dp = [-1]*(N+1)
for k in dic.keys():
  if k>N:
    continue
  dp[k] = dic[k]
for i in range(N+1):
  for k in dic.keys():
    if i-k>0 and dp[i-k]!=-1:
      m = dp[i-k]*10+dic[k]
      dp[i] = max(dp[i], m)
print(dp[N])
Buggy code:
def main():
    N, M = map(int, input().split())
    A = list(map(int, input().split()))
    match = [0,2,5,5,4,5,6,3,7,6]
    dp = [-1] * (N + 10)
    dp[0] = 0
    for a in A:
        for i in range(N):
            if dp[i] != -1:
                tmp = str(dp[i]) + str(a)
                dp[i+match[a]] = max(dp[i+match[a]], int(tmp))
        
    print(dp[N])


if __name__ == "__main__":
    main()

Fixed code:
def main():
    N, M = map(int, input().split())
    A = list(map(int, input().split()))
    match = [0,2,5,5,4,5,6,3,7,6]
    dp = [-1] * (N + 10)
    dp[0] = 0
    for i in range(N):
        if dp[i] != -1:
            for a in A:
                dp[i+match[a]] = max(dp[i+match[a]], dp[i] * 10 + a)
        
    print(dp[N])


if __name__ == "__main__":
    main()
Buggy code:
N, M = map(int, input().split())
a = [int(i) for i in input().split()]

dic = {}
dic[1] = 2
dic[2] = 5
dic[3] = 5
dic[4] = 4
dic[5] = 5
dic[6] = 6
dic[7] = 3
dic[8] = 7
dic[9] = 6

ls = [-1]*8
dp = [-1]*(N+1)
dp[0] = 0
for i in a:
  j = dic[i]
  if ls[j]<i:
    ls[j] = i

tag = []
for i in range(len(ls)):
  if ls[i]!=-1:
    tag += [i]
for i in range(N+1):
  for j in tag:
    s = max(dp[i+j]*10+ls[j], dp[i+j])

print(dp[N])

Fixed code:
N, M = map(int, input().split())
a = [int(i) for i in input().split()]

dic = {}
dic[1] = 2
dic[2] = 5
dic[3] = 5
dic[4] = 4
dic[5] = 5
dic[6] = 6
dic[7] = 3
dic[8] = 7
dic[9] = 6

ls = [-1]*8
dp = [-1]*(N+1)
dp[0] = 0
for i in a:
  j = dic[i]
  if ls[j]<i:
    ls[j] = i

tag = []
for i in range(len(ls)):
  if ls[i]!=-1:
    tag += [i]
for i in range(N+1):
  for j in tag:
    if i+j<=N:
      dp[i+j] = max(dp[i]*10+ls[j], dp[i+j])

print(dp[N])
Buggy code:
N, M = map( int, input().split())
A = list( map( int, input().split()))
Needs = [0,2,5,5,4,5,6,3,7,6]
A.sort(reverse = True)
V = [0]*N
Check = []
for a in A:
    if V[Needs[a]] == 0:
        Check.append(Needs[a])
        V[Needs[a]] = a
Check.sort()
dp = [-100]*(N+1)
dp[0] = 0

for x in Check:
    dp[x] = 1
for i in range(1,N):
    t = dp[i]
        if x + i <= N:
            if dp[x+i] < t + 1:
                dp[x+i] = t+1
ans = ""
t = N
W = [0]*10
while t > 0:
    for x in Check:
        if dp[t-x]+1 == dp[t]:
            W[V[x]] += 1
            t -= x
            break
for i in range(9,0,-1):
    ans += str(i)*W[i]
print(ans)

Fixed code:
N, M = map( int, input().split())
A = list( map( int, input().split()))
Needs = [0,2,5,5,4,5,6,3,7,6]
A.sort(reverse = True)
V = [0]*10
Check = []
for a in A:
    if V[Needs[a]] == 0:
        Check.append(Needs[a])
        V[Needs[a]] = a
Check.sort()
dp = [-100000]*(N+1)
dp[0] = 0

for x in Check:
    if x <= N:
        dp[x] = 1
for i in range(1,N):
    t = dp[i]
    for x in Check:
        if x + i <= N:
            if dp[x+i] < t + 1:
                dp[x+i] = t+1
ans = ""
t = N
W = [0]*10
while t > 0:
    for a in A:
        x = Needs[a]
        if t-x>=0:
            if dp[t-x]+1 == dp[t]:
                W[V[x]] += 1
                t -= x
                break
for i in range(9,0,-1):
    ans += str(i)*W[i]
print(ans)
Buggy code:
N, M = map(int, input().split())
A = list(map(int, input().split()))
B = [0, 2, 5, 5, 4, 5, 6, 3, 7, 6]
dp = [0]*(N+1)  
for i in range(N+1):
    for j in A:
        if i + B[j] <= N:
            dp[i+B[j]]= max(dp[i]*10+j, dp[i+B[j]])
print(dp[N])

Fixed code:
N, M = map(int, input().split())
A = list(map(int, input().split()))
B = [0, 2, 5, 5, 4, 5, 6, 3, 7, 6]
dp = [-1]*(N+1)
dp[0]=0  
for i in range(N+1):
    for j in A:
        if i + B[j] <= N:
            dp[i+B[j]]= max(dp[i]*10+j, dp[i+B[j]])
print(dp[N])
Buggy code:
from collections import defaultdict
from copy import copy

N,M = map(int,input().split())
A = list(map(int,input().split()))

ms = [2,5,5,4,5,6,3,7,6]
dic = defaultdict(lambda: 0)
for a in A:
    dic[ms[a-1]] = max(dic[ms[a-1]], a)

sd = sorted(dic.items())

dp = [None] * (N+1)
dp[0] = defaultdict(lambda: 0)

for i in range(sd[0][0], N+1):
    cands = []
    for l,a in sd:
        if i-l < 0: break
        if dp[i-l] is None: continue
        cands.append(copy(dp[i-l]))
        cands[-1][a] += 1
    if not cands: continue
    max_v = 0
    max_i = -1
    for i,cand_dic in enumerate(cands):
        tmp_s = ''
        for a,n in sorted(cand_dic.items(), reverse=True):
            tmp_s += str(a) * n
        tmp_v = int(tmp_s)
        if tmp_v > max_v:
            max_v = tmp_v
            max_i = i
    dp[i] = cands[i]

ans = ''
for a,n in sorted(dp[-1].items(), reverse=True):
    ans += str(a) * n
print(ans)

Fixed code:
from collections import defaultdict
from copy import copy

N,M = map(int,input().split())
A = list(map(int,input().split()))

ms = [2,5,5,4,5,6,3,7,6]
dic = defaultdict(lambda: 0)
for a in A:
    dic[ms[a-1]] = max(dic[ms[a-1]], a)

sd = sorted(dic.items())

dp = [None] * (N+1)
dp[0] = defaultdict(lambda: 0)

for i in range(sd[0][0], N+1):
    cands = []
    least_len = -1
    for l,a in sd:
        if i-l < 0: break
        if dp[i-l] is None: continue
        if cands and sum(dp[i-l].values())+1 < least_len:
            continue
        cands.append(copy(dp[i-l]))
        cands[-1][a] += 1
        least_len = sum(cands[-1].values())
    if not cands: continue
    max_v = 0
    max_j = -1
    for j,cand_dic in enumerate(cands):
        tmp_s = ''
        for a,n in sorted(cand_dic.items(), reverse=True):
            tmp_s += str(a) * n
        tmp_v = int(tmp_s)
        if tmp_v > max_v:
            max_v = tmp_v
            max_j = j
    dp[i] = cands[max_j]

ans = ''
for a,n in sorted(dp[-1].items(), reverse=True):
    ans += str(a) * n
print(ans)
Buggy code:
N,M=map(int,input().split())
A=[int(i) for i in input().split()]
Match=[0,2,5,5,4,5,6,3,7,6]
A.sort(reverse=True)
dp=[0]*(N+1)
dp[0]=1
for i in range(1,N+1):
  for a in A:
    if i>=Match[a]:
      dp[i]|=dp[i-Match[a]]<<1

for k in range(N)[::-1]:
  if dp[N]&(1<<k):
    S=k
    break
ans=[]
m=0
for k in range(S):
  if N-Match[A[m]]>=0:
    if dp[N-Match[A[m]]]&(1<<(S-k-1)):
      ans.append(str(A[m]))
      N-=Match[A[m]]
  else:
    for l in range(m+1,len(A)):
      if N-Match[A[l]]>=0:
        if dp[N-Match[A[l]]]&(1<<(S-k-1)):
          m=l
          ans.append(str(A[m]))
          N-=Match[A[m]]
          break
print("".join(ans))


Fixed code:
N,M=map(int,input().split())
A=[int(i) for i in input().split()]
Match=[0,2,5,5,4,5,6,3,7,6]
A.sort(reverse=True)
dp=[0]*(N+1)
dp[0]=1
for i in range(1,N+1):
  for a in A:
    if i>=Match[a]:
      dp[i]|=dp[i-Match[a]]<<1

for k in range(N)[::-1]:
  if dp[N]&(1<<k):
    S=k
    break
ans=[]
m=0
for k in range(S):
  if N-Match[A[m]]>=0:
    if dp[N-Match[A[m]]]&(1<<(S-k-1)):
      ans.append(str(A[m]))
      N-=Match[A[m]]
    else:
      for l in range(m+1,len(A)):
        if N-Match[A[l]]>=0:
          if dp[N-Match[A[l]]]&(1<<(S-k-1)):
            m=l
            ans.append(str(A[m]))
            N-=Match[A[m]]
            break
  else:
    for l in range(m+1,len(A)):
      if N-Match[A[l]]>=0:
        if dp[N-Match[A[l]]]&(1<<(S-k-1)):
          m=l
          ans.append(str(A[m]))
          N-=Match[A[m]]
          break
print("".join(ans))
Buggy code:
N,M=map(int,input().split())

A=list(map(int,input().split()))
A.sort(reverse=True)
honsuu=[0,2,5,5,4,5,6,3,7,6]

def ketadp(N,M,A):
  dp=[0]*(N+1)
  for i in range(N):
    for j in A:
      if (i+1-honsuu[j])==0 or (i+1-honsuu[j]>0 and dp[i+1-honsuu[j]]!=0):
        dp[i+1]=max(dp[i+1],dp[i+1-honsuu[j]]+1)
  return dp
  

ans=""
keta=ketadp(N,M,A)
remain=keta[N]
match=N
#print(A)

while(match>0):
  for i in A:
    #print(i,match,remain,keta[match-honsuu[i]])
    if(keta[match-honsuu[i]]==remain-1):
      ans+=str(i)
      remain-=1
      match-=honsuu[i]
      break;
print(ans)  

Fixed code:
N,M=map(int,input().split())

A=list(map(int,input().split()))
A.sort(reverse=True)
honsuu=[0,2,5,5,4,5,6,3,7,6]

def ketadp(N,M,A):
  dp=[0]*(N+1)
  for i in range(N):
    for j in A:
      if (i+1-honsuu[j])==0 or (i+1-honsuu[j]>0 and dp[i+1-honsuu[j]]!=0):
        dp[i+1]=max(dp[i+1],dp[i+1-honsuu[j]]+1)
  return dp
  

ans=""
keta=ketadp(N,M,A)
remain=keta[N]
match=N
#print(keta)

while(match>0):
  for i in A:
    #print(i,match,remain,keta[match-honsuu[i]])
    if match-honsuu[i]<0:
      continue;
    if(keta[match-honsuu[i]]==remain-1) and not (match-honsuu[i]!=0 and remain==1):
      ans+=str(i)
      remain-=1
      match-=honsuu[i]
      break;
print(ans)
Buggy code:
n,m = map(int,input().split())
dp = [-10**5]*(n+1)
dp[0] = 0
t = [0,2,5,5,4,5,6,3,7,6]
a = set(map(int,input().split()))
for i in range(2,n+1):
  for x in a:
    if i-t[x] >= 0 and dp[i] < dp[i-t[x]] + 1:
      dp[i] = dp[i-t[x]] + 1
a = list(a)
a.sort(reverse=True)
cur = ""
idx = n
while idx:
  for x in a:
    if idx - t[x] >= 0 and dp[idx] == dp[idx-t[x]] + 1:
      cur += str(x)
      idx -= t[x]
      continue
print(cur)

Fixed code:
n,m = map(int,input().split())
dp = [-10**5]*(n+1)
dp[0] = 0
t = [0,2,5,5,4,5,6,3,7,6]
a = set(map(int,input().split()))
for i in range(2,n+1):
  for x in a:
    if i-t[x] >= 0 and dp[i] < dp[i-t[x]] + 1:
      dp[i] = dp[i-t[x]] + 1
a = list(a)
a.sort(reverse=True)
cur = ""
idx = n
while idx:
  for x in a:
    if idx - t[x] >= 0 and dp[idx] == dp[idx-t[x]] + 1:
      cur += str(x)
      idx -= t[x]
      break
print(cur)
Buggy code:
#python3.4
import math
def inpul(): return list(map(int, input().split()))

N, M = inpul()
A = inpul()

c = [0,2,5,5,4,5,6,3,7,6]
f = [-1]*10010

f[0] = 0
for i in range(1, N+1):
	for x in a:
		if i-c[x] >= 0:
			f[i] = max(f[i], f[i-c[x]]*10+x)
print(f[n])

Fixed code:
#python3.4
import math
def inpul(): return list(map(int, input().split()))

N, M = inpul()
A = inpul()

c = [0,2,5,5,4,5,6,3,7,6]
f = [-1]*10010

f[0] = 0
for i in range(1, N+1):
	for x in A:
		if i-c[x] >= 0:
			f[i] = max(f[i], f[i-c[x]]*10+x)
print(f[N])