Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
n=int(input())
s=int(input())
if n==s:
  print(n+1)
  exit()
if (n+3)//2<=s:
  print(-1)
  exit()
ewew

Fixed submission:
import sys
def yakusu(n):
    lower_divisors , upper_divisors = [], []
    i = 1
    while i*i <= n:
        if n % i == 0:
            lower_divisors.append(i)
            if i != n // i:
                upper_divisors.append(n//i)
        i += 1
    return lower_divisors + upper_divisors[::-1]
sys.setrecursionlimit(10 ** 7)
def input() : return sys.stdin.readline().strip()
def INT()   : return int(input())
def MAP()   : return map(int,input().split())
def LIST()  : return list(MAP())
def NIJIGEN(H): return [list(input()) for i in range(H)]
N=int(input())
K=int(input())
if N==K:
  print(N+1)
  exit()
if N<K:
  print(-1)
  exit()
L=list()
setL=set()
#N-Kはa-1の倍数
L=yakusu(N-K)
L=[i+1 for i in L]
for i in L:
  ans=0
  m=N
  while True:
    if m<i:
      ans+=m
      break
    else:
      ans+=m%i
      m=m//i
  if ans==K:
    print(i)
    exit()
print(-1)
Buggy python submission (verdict: Runtime Error):
import sys
K=10**10
N,L=map(int,input().split())
T=list(map(int,input().split()))
for i in range(N-1):
  if T[i]+T[i+1]>=L:
    K=i
    print("Possible")
    break
if K==10**10:
  print("Impossible")
K=K+1
R=list(range(1,K))
R.extend(list(range(K+1,N)))
R.append(K)
R=list(map(str,R))
for i in range(N-1):
  print(R[i])

Fixed submission:
K=10**10
import sys
N,L=map(int,input().split())
T=list(map(int,input().split()))
for i in range(N-1):
  if T[i]+T[i+1]>=L:
    K=i
    print("Possible")
    break
if K==10**10:
  print("Impossible")
  sys.exit()
K=K+1
R=list(range(1,K))
M=list(range(K+1,N))
M.reverse()
R.extend(M)
R.append(K)
for i in range(N-1):
  print(R[i])

Buggy python submission (verdict: Runtime Error):
N,L=map(int,input().split())
T=list(map(int,input().split()))
for i in range(N-1):
  if T[i]+T[i+1]>=L:
    K=i
    break
K=K+1
R=list(range(1,K))
R.extend(list(range(K+1,N)))
R.append(K)
R=list(map(str,R))
print(" ".join(R))

Fixed submission:
K=10**10
import sys
N,L=map(int,input().split())
T=list(map(int,input().split()))
for i in range(N-1):
  if T[i]+T[i+1]>=L:
    K=i
    print("Possible")
    break
if K==10**10:
  print("Impossible")
  sys.exit()
K=K+1
R=list(range(1,K))
M=list(range(K+1,N))
M.reverse()
R.extend(M)
R.append(K)
for i in range(N-1):
  print(R[i])
Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
import imp
import os

import setuptools
from pkg_resources import parse_version
from setuptools import setup

if parse_version(setuptools.__version__) < parse_version('30.3.0'):
    raise RuntimeError('setuptools>=30.3.0 is required for "setup.cfg"')


def load_module(module_path):
    path = None
    for name in module_path.split('.'):
        file, path, description = imp.find_module(name, path)
        path = [path]
    return imp.load_module(name, file, path[0], description)


version = load_module('onlinejudge.__about__')

setup(
    name=version.__package_name__,
    version=version.__version__,
    author=version.__author__,
    author_email=version.__email__,
    url=version.__url__,
    license=version.__license__,
    description=version.__description__,
)


Fixed submission:
import fractions as math

n = input()
a = list(map(int, input().split()))

def lcm(x, y):
    return (x * y) // math.gcd(x, y)

l = a[0]
for num in a[1:]:
    l = lcm(num, l)

ans = 0
for num in a:
    ans += (l - 1) % num

print(ans)

Buggy python submission (verdict: Runtime Error):
import fraction as math

n = input()
a = list(map(int, input().split()))

def lcm(x, y):
    return (x * y) // math.gcd(x, y)

l = a[0]
for num in a[1:]:
    l = lcm(num, l)

ans = 0
for num in a:
    ans += (l - 1) % num

print(ans)



Fixed submission:
import fractions as math

n = input()
a = list(map(int, input().split()))

def lcm(x, y):
    return (x * y) // math.gcd(x, y)

l = a[0]
for num in a[1:]:
    l = lcm(num, l)

ans = 0
for num in a:
    ans += (l - 1) % num

print(ans)

Buggy python submission (verdict: Runtime Error):
import math

n = input()
a = list(map(int, input().split()))

def lcm(x, y):
    return (x * y) // math.gcd(x, y)

l = a[0]
for num in a[1:]:
    l = lcm(num, l)

ans = 0
for num in a:
    ans += (l - 1) % num

print(ans)



Fixed submission:
import fractions as math

n = input()
a = list(map(int, input().split()))

def lcm(x, y):
    return (x * y) // math.gcd(x, y)

l = a[0]
for num in a[1:]:
    l = lcm(num, l)

ans = 0
for num in a:
    ans += (l - 1) % num

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n, m, d = map(int, input().split())

#print(2 * (n - d) * (m - 1) / (n ** m))
# print((n - d) * 2 * (n - 1) * (m - 1) * (n ** (m - 1)) / (n ** m))
if d != 0:
    print((n - d) * 2 * (m - 1) * (n ** (m - 2)) / (n ** m))
else:
    print((m - 1) / n)


Fixed submission:
n, m, d = map(int, input().split())

#print(2 * (n - d) * (m - 1) / (n ** m))
# print((n - d) * 2 * (n - 1) * (m - 1) * (n ** (m - 1)) / (n ** m))
if d != 0:
    print((n - d) * 2 * (m - 1) / (n ** 2))
else:
    print((m - 1) / n)
Buggy python submission (verdict: Time Limit Exceeded):
from bisect import *
import numpy

a = input()
a = input().split()
# a = [1, 3, -4, 2, 2, -2]
# a = [1, -1, 1, -1, 1, -1, 1]
# a = [1, -2, 3, -4, 5]
a = [int(i) for i in a]
a = numpy.array(a)
b = numpy.cumsum(a)

cnt = len(b) - numpy.count_nonzero(b)

idx = numpy.argsort(b)
c = list(numpy.sort(b))

for xi, x in enumerate(c):
    i = bisect_left(c, x)
    if i == len(c) or (i == 0 and c[0] != x):
        continue
    j = bisect_right(c, x)
    if j == 0 or (j == len(c) and c[-1] != x):
        continue
    for n in range(i, j):
        if idx[n] > idx[xi]:
            cnt += 1
print(cnt)


Fixed submission:
import numpy
from collections import Counter

_ = input()
a = numpy.array(list(map(int, input().split())))

s = numpy.cumsum(a)
s = numpy.concatenate(([0], s))
ans = 0

for i in Counter(s).values():
    ans += i * (i - 1) // 2
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
a = input()
a = input().split()
a = [int(i) for i in a]
# print(a)

cnt = 0
while a:
    num = 0
    for i in a:
        num += i
        if num == 0:
            cnt += 1
    a.pop(0)

print(cnt)


Fixed submission:
import numpy
from collections import Counter

_ = input()
a = numpy.array(list(map(int, input().split())))

s = numpy.cumsum(a)
s = numpy.concatenate(([0], s))
ans = 0

for i in Counter(s).values():
    ans += i * (i - 1) // 2
print(ans)
Buggy python submission (verdict: Runtime Error):
print(input() // 3)

Fixed submission:
print(int(input())// 3)
Buggy python submission (verdict: Runtime Error):
n = int(input())
print(sum(n/i * (n/i+1) / 2 * i for i in range(1, n+1))

Fixed submission:
n = int(input())
print(sum(n//i * (n//i+1) // 2 * i for i in range(1, n+1)))
Buggy python submission (verdict: Runtime Error):
N = int(input())
X = input()

memo = {}


def popcount(n):
    return bin(n).count('1')


def f(n):
    if n == 0:
        return 0
    if n in memo:
        return memo[n]
    memo[n] = 1 + f(n % popcount(n))
    return memo[n]


Xint = int(X, 2)
p = popcount(Xint)
x1 = Xint % (p - 1) if 1 < p else None
x2 = Xint % (p + 1)
ans = []
b = 1
bmod1 = b % (p - 1) if 1 < p else None
bmod2 = b % (p + 1)
for i in range(N):
    if X[-1 - i] == '1':
        if 1 < p:
            ans.append(1 + f((x1 - bmod1) % (p - 1)))
        else:
            ans.append(1)
    else:
        ans.append(1 + f((x2 + bmod2) % (p + 1)))
    b <<= 1
    bmod1 = bmod1 * 2 % (p - 1) if 0 < p else None
    bmod2 = bmod2 * 2 % (p + 1)
for a in reversed(ans):
    print(a)

Fixed submission:
N = int(input())
X = input()

memo = {}


def popcount(n):
    return bin(n).count('1')


def f(n):
    if n == 0:
        return 0
    if n in memo:
        return memo[n]
    memo[n] = 1 + f(n % popcount(n))
    return memo[n]


def solve(N, X):
    Xint = int(X, 2)
    p = popcount(Xint)
    if 1 < p:
        x1 = Xint % (p - 1)
    x2 = Xint % (p + 1)
    ans = []
    b = 1
    if 1 < p:
        bmod1 = b % (p - 1)
    bmod2 = b % (p + 1)
    for i in range(N):
        if X[-1 - i] == '1':
            if 1 < p:
                ans.append(1 + f((x1 - bmod1) % (p - 1)))
            else:
                ans.append(0)
        else:
            ans.append(1 + f((x2 + bmod2) % (p + 1)))
        b <<= 1
        if 1 < p:
            bmod1 = bmod1 * 2 % (p - 1)
        bmod2 = bmod2 * 2 % (p + 1)

    return list(reversed(ans))


for x in solve(N, X):
    print(x)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict

N, X, Y = map(int, input().split())
dists = defaultdict(lambda: N)
for k in range(1, N):
    for i in range(1 + k, N + 1):
        dists[(i - k, i)] = min(dists[(i - k, i)], k)
    for i in range(k):
        for a, b in (
            (X - i, Y + k - 1 - i),
            (X - i, Y - (k - 1 - i)),
            (X + i, Y + k - 1 - i),
            (X + i, Y - (k - 1 - i)),
        ):
            if 1 <= a <= N and 1 <= b <= N and a < b:
                dists[(a, b)] = min(dists[(a, b)], k)

d = defaultdict(int)
for v in dists.values():
    d[v] += 1
for k in range(1, N):
    print(d.get(k, 0))

Fixed submission:
N, X, Y = map(int, input().split())
dists = [0] * N
for i in range(1, N):
    for j in range(i + 1, N + 1):
        d = min(j - i, abs(X - i) + abs(Y - j) + 1)
        dists[d] += 1

for k in range(1, N):
    print(dists[k])
Buggy python submission (verdict: Runtime Error):
from collections import deque

N = int(input())

queue = deque()
queue.append((0,)
while queue:
    s = queue.popleft()
    if len(s) == N:
        print(''.join('abcdefghij'[i] for i in s))
        continue
    for i in range(max(s) + 2):
        queue.append(s + (i,))

Fixed submission:
from collections import deque

N = int(input())

queue = deque()
queue.append((0,))
while queue:
    s = queue.popleft()
    if len(s) == N:
        print(''.join('abcdefghij'[i] for i in s))
        continue
    for i in range(max(s) + 2):
        queue.append(s + (i,))
Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict

N, P = map(int, input().split())
S = input()

if P in (2, 5):
    count = 0
    for i in range(N):
        if int(S[i]) % P == 0:
            count += i + 1
    print(count)
else:
    d = defaultdict(int)
    r = 0
    for i in range(N):
        r += int(S[N - 1 - i]) * 10 ** (i % (P - 1))
        r %= P
        d[r] += 1

    count = d[0]
    for num in d.values():
        count += num * (num - 1) // 2
    print(count)

Fixed submission:
from collections import defaultdict

N, P = map(int, input().split())
S = input()

if P in (2, 5):
    count = 0
    for i in range(N):
        if int(S[i]) % P == 0:
            count += i + 1
    print(count)
else:
    d = defaultdict(int)
    r = 0
    for i in range(N):
        r += int(S[N - 1 - i]) * pow(10, i % (P - 1), P)
        r %= P
        d[r] += 1

    count = d[0]
    for num in d.values():
        count += num * (num - 1) // 2
    print(count)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict

N, P = map(int, input().split())
S = input()

if P in (2, 5):
    count = 0
    for i in range(N):
        if int(S[i]) % P == 0:
            count += i + 1
    print(count)
else:
    d = defaultdict(int)
    r = 0
    for i in range(N):
        r = (r + int(S[N - 1 - i]) * 10 ** i) % P
        d[r] += 1

    count = d[0]
    for num in d.values():
        count += num * (num - 1) // 2
    print(count)

Fixed submission:
from collections import defaultdict

N, P = map(int, input().split())
S = input()

if P in (2, 5):
    count = 0
    for i in range(N):
        if int(S[i]) % P == 0:
            count += i + 1
    print(count)
else:
    d = defaultdict(int)
    r = 0
    for i in range(N):
        r += int(S[N - 1 - i]) * pow(10, i % (P - 1), P)
        r %= P
        d[r] += 1

    count = d[0]
    for num in d.values():
        count += num * (num - 1) // 2
    print(count)
Buggy python submission (verdict: Time Limit Exceeded):
N, M, V, P = map(int, input().split())
A = sorted(map(int, input().split()), reverse=True)


def is_possible(idx):
    if idx < P:
        return True
    if A[P - 1] <= A[idx]:
        return True
    if A[idx] + M < A[P - 1]:
        return False
    t = P * M
    for i in range(P - 1, idx):
        t += A[idx] + M - A[i]
    for i in range(idx + 1, N):
        t += M
    if t < M * V:
        return False
    return True


left, right = 0, N
while left + 1 < right:
    middle = (left + right) // 2
    if is_possible(middle):
        assert all(is_possible(i) for i in range(middle))
        left = middle
    else:
        assert all(not is_possible(i) for i in range(middle + 1, right))
        right = middle
print(right)

Fixed submission:
N, M, V, P = map(int, input().split())
A = sorted(map(int, input().split()), reverse=True)


def is_possible(idx):
    if idx < P:
        return True
    if A[P - 1] <= A[idx]:
        return True
    if A[idx] + M < A[P - 1]:
        return False
    t = P * M
    for i in range(P - 1, idx):
        t += A[idx] + M - A[i]
    for i in range(idx + 1, N):
        t += M
    if t < M * V:
        return False
    return True


left, right = 0, N
while left + 1 < right:
    middle = (left + right) // 2
    if is_possible(middle):
        left = middle
    else:
        right = middle
print(right)
Buggy python submission (verdict: Runtime Error):
S = intput()
n = len(S)
count = 0
for i in range(n // 2):
    if S[i] != S[n - 1 - i]:
        count += 1
print(count)

Fixed submission:
S = input()
n = len(S)
count = 0
for i in range(n // 2):
    if S[i] != S[n - 1 - i]:
        count += 1
print(count)
Buggy python submission (verdict: Runtime Error):
import math


def is_prime(n):
    if n < 2:
        return False
    if n == 2:
        return True
    if n % 2 == 0:
        return False
    m = 3
    while m ** 2 <= n:
        if n % m == 0:
            return False
        m += 2
    return True


A, B = map(int, input().split())
d = math.gcd(A, B)
n = 1
s = set()
while n ** 2 <= d:
    if d % n == 0:
        if is_prime(n):
            s.add(n)
        if is_prime(d // n):
            s.add(d // n)
    n += 1
s.add(1)
print(len(s))

Fixed submission:
from fractions import gcd


def is_prime(n):
    if n < 2:
        return False
    if n == 2:
        return True
    if n % 2 == 0:
        return False
    m = 3
    while m ** 2 <= n:
        if n % m == 0:
            return False
        m += 2
    return True


A, B = map(int, input().split())
d = gcd(A, B)
n = 1
s = set()
while n ** 2 <= d:
    if d % n == 0:
        if is_prime(n):
            s.add(n)
        if is_prime(d // n):
            s.add(d // n)
    n += 1
s.add(1)
print(len(s))
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())
A = list(map(int, input().split()))
for _ in range(M):
    A.sort(reverse=True)
    A[0] //= 2
print(sum(A))

Fixed submission:
from queue import PriorityQueue

N, M = map(int, input().split())
A = list(map(int, input().split()))
queue = PriorityQueue()
for a in A:
    queue.put(-a)
for _ in range(M):
    v = -queue.get()
    queue.put(-(v // 2))

total = 0
while not queue.empty():
    total += -(queue.get())
print(total)
Buggy python submission (verdict: Runtime Error):
A, B = map(int, input())
print((A + B) // 2 if abs(A - B) % 2 == 0 else 'IMPOSSIBLE')


Fixed submission:
A, B = map(int, input().split())
print((A + B) // 2 if abs(A - B) % 2 == 0 else 'IMPOSSIBLE')
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())
a = [True] * (N + 1)
for _ in range(M):
    a[int(input())] = False


arr = [0] * (N + 1)
arr[1] = 1 if a[1] else 0
arr[2] = arr[1] + 1 if a[2] else 0

for i in range(3, N + 1):
    arr[i] = arr[i - 2] + arr[i - 1] if a[i] else 0

print(arr[N] % 1000000007)

Fixed submission:
N, M = map(int, input().split())
a = [True] * (N + 1)
for _ in range(M):
    a[int(input())] = False

arr = [0] * (N + 1)
arr[1] = 1 if a[1] else 0
if 2 <= N:
    arr[2] = arr[1] + 1 if a[2] else 0
    for i in range(3, N + 1):
        arr[i] = arr[i - 2] + arr[i - 1] if a[i] else 0

print(arr[N] % 1000000007)

Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())
a = [True] * N
for _ in range(M):
    a[int(input())] = False


memo = {}

def find(n):
    if n == 0:
        return 1
    if n == 1:
        return 1
    if n in memo:
        return memo[n]
    memo[n] = (find(n - 1) if a[n - 1] else 0) + (find(n - 2) if a[n - 2] else 0)
    return memo[n]


print(find(N) % 1000000007)

Fixed submission:
N, M = map(int, input().split())
a = [True] * (N + 1)
for _ in range(M):
    a[int(input())] = False

arr = [0] * (N + 1)
arr[1] = 1 if a[1] else 0
if 2 <= N:
    arr[2] = arr[1] + 1 if a[2] else 0
    for i in range(3, N + 1):
        arr[i] = arr[i - 2] + arr[i - 1] if a[i] else 0

print(arr[N] % 1000000007)
Buggy python submission (verdict: Time Limit Exceeded):
import bisect

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

for _ in range(M):
    B, C = map(int, input().split())
    i = bisect.bisect_right(A, C)
    if N <= i:
        A = A[B:i] + [C] * B + A[i:]
    elif i <= B:
        A[:i] = [C] * i
    else:
        A = A[B:i] + [C] * B + A[i:]
print(sum(A))

Fixed submission:
N, M = map(int, input().split())
A = list(map(int, input().split()))
A.sort()
BC = []
for _ in range(M):
    B, C = map(int, input().split())
    BC.append((B, C))
BC.sort(key=lambda bc: (bc[1], bc[0]), reverse=True)

ai = 0
bci = bcj = 0
while ai < N and bci < M:
    if A[ai] < BC[bci][1]:
        A[ai] = BC[bci][1]
        ai += 1
        bcj += 1
        if BC[bci][0] <= bcj:
            bci += 1
            bcj = 0
    else:
        ai += 1
print(sum(A))

Buggy python submission (verdict: Time Limit Exceeded):
import heapq

N, M = map(int, input().split())
A = list(map(int, input().split()))
xs = []
for a in A:
    heapq.heappush(xs, a)

for _ in range(M):
    B, C = map(int, input().split())
    count = 0
    while xs[0] < C and count < B:
        heapq.heappop(xs)
        count += 1
        heapq.heappush(xs, C)
print(sum(xs))

Fixed submission:
N, M = map(int, input().split())
A = list(map(int, input().split()))
A.sort()
BC = []
for _ in range(M):
    B, C = map(int, input().split())
    BC.append((B, C))
BC.sort(key=lambda bc: (bc[1], bc[0]), reverse=True)

ai = 0
bci = bcj = 0
while ai < N and bci < M:
    if A[ai] < BC[bci][1]:
        A[ai] = BC[bci][1]
        ai += 1
        bcj += 1
        if BC[bci][0] <= bcj:
            bci += 1
            bcj = 0
    else:
        ai += 1
print(sum(A))
Buggy python submission (verdict: Runtime Error):
import re

S = input()
xs = list(S)

i, j = 0, 1
while j < len(xs):
    if xs[i] != xs[j]:
        xs[i:j + 1] = []
        i -= 1
        j = i + 1
    else:
        i += 1
        j += 1
print(len(S) - len(xs))


Fixed submission:
S = input()

xs = [S[0]]
for c in S[1:]:
    if xs and xs[-1] != c:
        xs.pop()
    else:
        xs.append(c)
print(len(S) - len(xs))

Buggy python submission (verdict: Time Limit Exceeded):
import re

s = S = input()
while '01' in s or '10' in s:
    s = s.replace('01', '').replace('10', '')
print(len(S) - len(s))


Fixed submission:
S = input()

xs = [S[0]]
for c in S[1:]:
    if xs and xs[-1] != c:
        xs.pop()
    else:
        xs.append(c)
print(len(S) - len(xs))
Buggy python submission (verdict: Time Limit Exceeded):
import bisect

A, B, Q = map(int, input().split())
ss = [int(input()) for _ in range(A)]
ts = [int(input()) for _ in range(B)]
xs = [int(input()) for _ in range(Q)]

ss.sort()
ts.sort()
for x in xs:
    i = bisect.bisect_left(ss, x)
    s1 = ss[i - 1] if 0 < i else -(10 ** 20)
    s2 = ss[i] if i < A else 10 ** 20
    i = bisect.bisect_left(ts, x)
    t1 = ts[i - 1] if 0 < i else -(10 ** 20)
    t2 = ts[i] if i < B else 10 ** 20

    # s1 < x < s2
    # t1 < x < t2
    print(min(
        x - min(s1, t1),  # s1, t1
        2 * (x - s1) + (t2 - x),  # s1, t2
        2 * (t2 - x) + (x - s1),  # t2, s1
        2 * (s2 - x) + (x - t1),  # s2, t1
        2 * (x - t1) + (s2 - x),  # t1, s2
        max(s2, t2) - x,  # s2, t2
    ))


Fixed submission:
import bisect
import io
import sys

LINES = sys.stdin.read().splitlines()[::-1]


def readline():
    return LINES.pop()


A, B, Q = map(int, readline().split())
ss = [int(readline()) for _ in range(A)]
ts = [int(readline()) for _ in range(B)]
xs = [int(readline()) for _ in range(Q)]

ss.sort()
ts.sort()
for x in xs:
    i = bisect.bisect_left(ss, x)
    s1 = ss[i - 1] if 0 < i else -(10 ** 20)
    s2 = ss[i] if i < A else 10 ** 20
    i = bisect.bisect_left(ts, x)
    t1 = ts[i - 1] if 0 < i else -(10 ** 20)
    t2 = ts[i] if i < B else 10 ** 20

    # s1 < x < s2
    # t1 < x < t2
    print(min(
        x - min(s1, t1),  # s1, t1
        2 * (x - s1) + (t2 - x),  # s1, t2
        2 * (t2 - x) + (x - s1),  # t2, s1
        2 * (s2 - x) + (x - t1),  # s2, t1
        2 * (x - t1) + (s2 - x),  # t1, s2
        max(s2, t2) - x,  # s2, t2
    ))
Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
import copy

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

COST = {
    1: 2,
    2: 5,
    3: 5,
    4: 4,
    5: 5,
    6: 6,
    7: 3,
    8: 7,
    9: 6,
}
A.sort(key=lambda x: COST[x])


class Num:
    def __init__(self):
        self.nums = defaultdict(int)

    def __lt__(self, rhs):
        nd1 = sum(self.nums.values())
        nd2 = sum(rhs.nums.values())
        if nd1 < nd2:
            return True
        elif nd1 > nd2:
            return False
        keys = set(self.nums.keys()) | set(rhs.nums.keys())
        for n in sorted(keys, reverse=True):
            if self.nums[n] < rhs.nums[n]:
                return True
            elif self.nums[n] > rhs.nums[n]:
                return False
        return False

    def __add__(self, rhs):
        obj = copy.deepcopy(self)
        obj.nums[rhs] += 1
        return obj

    def __repr__(self):
        if not self.nums:
            return 0
        s = []
        for k in sorted(self.nums.keys(), reverse=True):
            s.extend([str(k)] * self.nums[k])
        return ''.join(s)


best = [None for _ in range(N + 1)]
best[0] = Num()
for n in range(N + 1):
    for a in A:
        before = n - COST[a]
        if before < 0 or best[before] is None:
            continue
        val = best[before] + a
        if best[n] is None:
            best[n] = val
        else:
            best[n] = max(val, best[n])

print(best[N])

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


COST = {
    1: 2,
    2: 5,
    3: 5,
    4: 4,
    5: 5,
    6: 6,
    7: 3,
    8: 7,
    9: 6,
}
A = sorted(A, reverse=True)

best = [None for _ in range(N + 1)]
best[0] = tuple([0] * len(A))
for n in range(N + 1):
    for ai, a in enumerate(A):
        before = n - COST[a]
        if before < 0 or best[before] is None:
            continue
        val = tuple(x + (1 if i == ai else 0) for i, x in enumerate(best[before]))
        if (
            best[n] is None
            or sum(best[n]) < sum(val)
            or (sum(best[n]) == sum(val) and best[n] < val)
        ):
            best[n] = val
print(''.join(sorted(''.join(str(d) * n for d, n in zip(A, best[N])), reverse=True)))
Buggy python submission (verdict: Runtime Error):
N = int(input())
if N == 1:
    print('Hello World')
else:
    A, B = map(int, input().split())
    print(A + B)

Fixed submission:
N = int(input())
if N == 1:
    print('Hello World')
else:
    print(int(input()) + int(input()))
Buggy python submission (verdict: Runtime Error):
A, B, C = map(int, input().split())
m = max(A, B, C)
print(m * 9 + sum(A, B, C))

Fixed submission:
A, B, C = map(int, input().split())
m = max(A, B, C)
print(m * 9 + sum((A, B, C)))