Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
n,ave = list(map(int, input().split()))
a = list(map(int, input().split()))

dp = [Zeros(3000,n+1) for k in range(n+1)]

dp[0][0][0] = 1
for i in range(n):
    for j in range(2900):
        for k in range(n):
            dp[i+1][j+a[i]][k+1] += dp[i][j][k]
            dp[i+1][j][k] += dp[i][j][k]

            
ans = 0
for k in range(n):
    ans+= dp[-1][ave*(k+1)][k+1]
print(ans)


Fixed submission:
import math
import fractions
#import sys
#input = sys.stdin.readline

def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    # divisors.sort()
    return divisors

def ValueToBits(x,digit):
    res = [0 for i in range(digit)]
    now = x
    for i in range(digit):
        res[i]=now%2
        now = now >> 1
    return res

def BitsToValue(arr):
    n = len(arr)
    ans = 0
    for i in range(n):
        ans+= arr[i] * 2**i
    return ans

def ZipArray(a):
    aa = [[a[i],i]for i in range(n)]

    aa.sort(key = lambda x : x[0])
    for i in range(n):
        aa[i][0]=i+1
    aa.sort(key = lambda x : x[1])
    b=[aa[i][0] for i in range(len(a))]
    return b

def ValueToArray10(x, digit):
    ans = [0 for i in range(digit)]
    now = x
    for i in range(digit):
        ans[digit-i-1] = now%10
        now = now //10
    return ans

def Zeros(a):
    return [0 for i in range(a)]

def Zeros(a,b):
    if(b<=0):
        return Zeros(a)
    else:
        return [[0 for i in range(b)] for i in range(a)]

class Bit:
    def __init__(self, n):
        self.size = n
        self.tree = [0] * (n + 1)
 
    def sum(self, i):
        s = 0
        while i > 0:
            s += self.tree[i]
            i -= i & -i
        return s
 
    def add(self, i, x):
        while i <= self.size:
            self.tree[i] += x
            i += i & -i
            
'''
def cmb(n, r, p):
    if (r < 0) or (n < r):
        return 0
    r = min(r, n - r)
    return fact[n] * factinv[r] * factinv[n-r] % p

p = 2
N = 10 ** 6 + 2
fact = [1, 1]  # fact[n] = (n! mod p)
factinv = [1, 1]  # factinv[n] = ((n!)^(-1) mod p)
inv = [0, 1]  # factinv 計算用

for i in range(2, N + 1):
    fact.append((fact[-1] * i) % p)
    inv.append((-inv[p % i] * (p // i)) % p)
    factinv.append((factinv[-1] * inv[-1]) % p)

'''

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

#################################################
#################################################
#################################################
#################################################



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

dp = [Zeros(3000,n+1) for k in range(n+1)]

dp[0][0][0] = 1
for i in range(n):
    for j in range(2900):
        for k in range(n):
            dp[i+1][j+a[i]][k+1] += dp[i][j][k]
            dp[i+1][j][k] += dp[i][j][k]

            
ans = 0
for k in range(n):
    ans+= dp[-1][ave*(k+1)][k+1]
print(ans)
Buggy python submission (verdict: Runtime Error):
import math
n,k = list(map(int, input().split()))

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

for ii in range(n*10):
    i = ii+1
    ar = ValueToArray10(i, int(1+(math.log(i)+0.00001)/math.log(10)))
    ok=1
    for j in ar:
        for k in a:
            if(j==k):
                ok=0
    if(ok==1 and i>=n):
        print(i)
        exit()



Fixed submission:
import math
import fractions
#import sys
#input = sys.stdin.readline

def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    # divisors.sort()
    return divisors

def ValueToBits(x,digit):
    res = [0 for i in range(digit)]
    now = x
    for i in range(digit):
        res[i]=now%2
        now = now >> 1
    return res

def BitsToValue(arr):
    n = len(arr)
    ans = 0
    for i in range(n):
        ans+= arr[i] * 2**i
    return ans

def ValueToArray10(x, digit):
    ans = [0 for i in range(digit)]
    now = x
    for i in range(digit):
        ans[digit-i-1] = now%10
        now = now //10
    return ans
'''
def cmb(n, r, p):
    if (r < 0) or (n < r):
        return 0
    r = min(r, n - r)
    return fact[n] * factinv[r] * factinv[n-r] % p

p = 2
N = 10 ** 6 + 2
fact = [1, 1]  # fact[n] = (n! mod p)
factinv = [1, 1]  # factinv[n] = ((n!)^(-1) mod p)
inv = [0, 1]  # factinv 計算用

for i in range(2, N + 1):
    fact.append((fact[-1] * i) % p)
    inv.append((-inv[p % i] * (p // i)) % p)
    factinv.append((factinv[-1] * inv[-1]) % p)

'''

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

#################################################
#################################################
#################################################
#################################################


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

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

for ii in range(n*10):
    i = ii+1
    ar = ValueToArray10(i, int(1+(math.log(i)+0.00001)/math.log(10)))
    ok=1
    for j in ar:
        for k in a:
            if(j==k):
                ok=0
    if(ok==1 and i>=n):
        print(i)
        exit()
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = input().split( )

b = []
j = 0
k = 1

for i in range(n):
	if k == int(a[i]):
	b.append(int(a[i]))
	j += 1
	k += 1

if 0 == len(b):
	print(-1)
else:
	print(int(n)-len(b))


Fixed submission:
n = int(input())
a = input().split( )

b = []
j = 0
k = 1

for i in range(n):
  if k == int(a[i]):
    b.append(int(a[i]))
    j += 1
    k += 1

if 0 == len(b):
  print(-1)
else:
  print(int(n)-len(b))

Buggy python submission (verdict: Runtime Error):
n = int(input())
a = input().split( )

b = []
j = 0
k = 1

for i in range(n):
	if k == int(a[i]):
	b.append(int(a[i]))
	j += 1
	k += 1

if 0 == len(b):
	print(-1)
else:
	print(int(n)-len(b))

Fixed submission:
n = int(input())
a = input().split( )

b = []
j = 0
k = 1

for i in range(n):
  if k == int(a[i]):
    b.append(int(a[i]))
    j += 1
    k += 1

if 0 == len(b):
  print(-1)
else:
  print(int(n)-len(b))

Buggy python submission (verdict: Runtime Error):
n = input()
a = input().split( )

b = []
j = 0
k = 1

for i in range(int(n)):
    if k == int(a[i]):
	b.append(a[i])
	j += 1
	k += 1

if 0 == len(b):
    print(-1)
else:
    print(int(n)-len(b))

Fixed submission:
n = int(input())
a = input().split( )

b = []
j = 0
k = 1

for i in range(n):
  if k == int(a[i]):
    b.append(int(a[i]))
    j += 1
    k += 1

if 0 == len(b):
  print(-1)
else:
  print(int(n)-len(b))
Buggy python submission (verdict: Runtime Error):
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

#N, K, C = map(int, readline().split())  int
#S = read().rstrip().decode()  string
# N =int(read())
#print(C,A,B)

x=read()
if '7' in x:
	print("Yes")
else:
	print("No")

Fixed submission:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

#N, K, C = map(int, readline().split())  int
#S = read().rstrip().decode()  string
# N =int(read())
#print(C,A,B)

x=read().rstrip().decode()

if '7' in x:
	print("Yes")
else:
	print("No")

Buggy python submission (verdict: Runtime Error):
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

#N, K, C = map(int, readline().split())  int
#S = read().rstrip().decode()  string
# N =int(read())
#print(C,A,B)

x=read()
if ''7' in x:
	print("Yes")
else:
	print("No")

Fixed submission:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

#N, K, C = map(int, readline().split())  int
#S = read().rstrip().decode()  string
# N =int(read())
#print(C,A,B)

x=read().rstrip().decode()

if '7' in x:
	print("Yes")
else:
	print("No")
Buggy python submission (verdict: Runtime Error):
from math import gcd
from functools import reduce
from itertools import product ##for i in z for j in z -> product(z,z)
k=int(input())
z=range(1,k+1)
print(sum(gcd(i,gcd(j,k)) product(z,z,z)))


Fixed submission:
k=int(input())
z=range(1,k+1)
import math
from functools import reduce
sum=0
for i in z:
	for j in z:
		for jj in z:
			sum=sum+reduce(math.gcd,[i,j,jj])
print(sum)

Buggy python submission (verdict: Runtime Error):
from math import gcd
from functools import reduce
from itertools import product ##for i in z for j in z -> product(z,z)
k=int(input())
z=range(1,k+1)
print(sum(gcd(i,gcd(j,k)) product(z,z,z,z)))


Fixed submission:
k=int(input())
z=range(1,k+1)
import math
from functools import reduce
sum=0
for i in z:
	for j in z:
		for jj in z:
			sum=sum+reduce(math.gcd,[i,j,jj])
print(sum)

Buggy python submission (verdict: Time Limit Exceeded):
k=int(input())
z=range(1,k+1)
import math
from functools import reduce
sum=0
for i in z:
	for j in z:
		for jj in z:
			sum=sum+reduce(math.gcd,[i,j,jj])
print(sum)


Fixed submission:
k=int(input())
z=range(1,k+1)
import math
from functools import reduce
sum=0
for i in z:
	for j in z:
		for jj in z:
			sum=sum+reduce(math.gcd,[i,j,jj])
print(sum)
Buggy python submission (verdict: Time Limit Exceeded):
from math import gcd
from functools import reduce

n=int(input())
s=input()

ret=0

for i,x in enumerate(s):
	for j,y in enumerate(s[i+1:],start=i+1):
		if x==y:
			continue
		if i+(j-i)*2 < n :
			z=s[i+(j-i)*2]
			if y!=z!=x:
				ret-=1

dic={}
for x in s:
	if not x in dic: 
		dic[x]=0
	dic[x]+=1

for i,x in dic.items():
	for j,y in dic.items():
		for k,z in dic.items():
			if i<j<k:
				ret+=x*y*z
print(ret)


Fixed submission:
from math import gcd
from functools import reduce
 
n=int(input())
s=input()
 
ret=0
 
for i,x in enumerate(s):
	for j,y in enumerate(s[i+1:],start=i+1):
		if x==y:
			continue
		if i+(j-i)*2 < n :
			z=s[i+(j-i)*2]
			if y!=z!=x:
				ret-=1
 
dic={}
for x in s:
	if not x in dic: 
		dic[x]=0
	dic[x]+=1
 
for i,x in dic.items():
	for j,y in dic.items():
		for k,z in dic.items():
			if i<j<k:
				ret+=x*y*z
print(ret)
Buggy python submission (verdict: Runtime Error):
from math import gcd
from functools import reduce
 
n=int(input())
ar=list(map(int,input().split(' ')))
 
if n%2==0:
	print(max(sum(ar[i] for i in range(0,n,2)),sum(ar[i] for i in range(1,n,2))))
	exit(0)
exit(1)	
dp=[[-(10**20)]*6 for i in range(n+5)]+[[0]+[-(10**20)]*8 for i in range(3)]
 
 
#1> 2 3> 4  6> 7 8> 9 10 11> 12> 14
def cn(z,j):
	return (z-j+1)//2
ans=-(10**20)
for i in range(n):
	idx=int(i)
	dp[idx]=dp[idx-2].copy()
	for j in range(0,5):
			for k in range(j+1):
					dp[idx][j]=max(dp[idx][j],dp[idx-k-2][j-k])
	for j in range(5):
		dp[i][j]+=ar[i]
		if cn(i+1,j)==n//2:
			ans=max(ans,dp[i][j])
print(ans)



Fixed submission:
from math import gcd
from functools import reduce
 
n=int(input())
ar=list(map(int,input().split(' ')))
 
dp=[[-(10**20)]*6 for i in range(n+5)]+[[0]+[-(10**20)]*8 for i in range(3)]
 
 
#1> 2 3> 4  6> 7 8> 9 10 11> 12> 14
def cn(z,j):
	return (z-j+1)//2
ans=-(10**20)
for i in range(n):
	idx=int(i)
	dp[idx]=dp[idx-2].copy()
	for j in range(0,5):
			for k in range(j+1):
					dp[idx][j]=max(dp[idx][j],dp[idx-k-2][j-k])
	for j in range(5):
		dp[i][j]+=ar[i]
		if cn(i+1,j)==n//2:
			ans=max(ans,dp[i][j])
print(ans)
Buggy python submission (verdict: Runtime Error):
n=input()
ans=0
for i in range(1,n):
  cnt=0
  for j in range(1,n):
    if i%j==0:
      cnt=cnt+1
  if cnt==8:
    ans+=1
print(int(ans))

Fixed submission:
n=int(input())
ans=0
for i in range(1,n+1):
  if i % 2==0:
    continue
  cnt=0
  for j in range(1,n+1):
    if i%j==0:
      cnt=cnt+1
  if cnt==8:
    ans+=1
print(int(ans))
Buggy python submission (verdict: Runtime Error):
a=input()
if a<1200:
	print("ABC")
elif a<2800:
	print("ARC")
else:
  print("AGC")

Fixed submission:
a=int(input())
if a<1200:
	print("ABC")
elif a<2800:
	print("ARC")
else:
	print("AGC")

Buggy python submission (verdict: Runtime Error):
a=int(input())
if a<1200:
	print("ABC")
else if a<2800:
	print("ARC")
else:
  print("AGC")

Fixed submission:
a=int(input())
if a<1200:
	print("ABC")
elif a<2800:
	print("ARC")
else:
	print("AGC")

Buggy python submission (verdict: Runtime Error):
a=int(input())
if a<1500:
	print("ABC")
else if a<2800:
	print("ARC")
else:
  print("AGC")

Fixed submission:
a=int(input())
if a<1200:
	print("ABC")
elif a<2800:
	print("ARC")
else:
	print("AGC")

Buggy python submission (verdict: Runtime Error):
#a,b=map(int,input().split())
a=map(int,input())
if a<2800:
	print("ABC")
else:
	print("ARC")

Fixed submission:
a=int(input())
if a<1200:
	print("ABC")
elif a<2800:
	print("ARC")
else:
	print("AGC")

Buggy python submission (verdict: Runtime Error):
#a,b=map(int,input().split())
a=input()
if a<2800:
	print("ABC")
else:
	print("ARC")

Fixed submission:
a=int(input())
if a<1200:
	print("ABC")
elif a<2800:
	print("ARC")
else:
	print("AGC")

Buggy python submission (verdict: Runtime Error):
#a,b=map(int,input().split())
a=input()
if(a<2800):
	print("ABC")
else:
	print("ARC")


Fixed submission:
a=int(input())
if a<1200:
	print("ABC")
elif a<2800:
	print("ARC")
else:
	print("AGC")
Buggy python submission (verdict: Runtime Error):
n,m=map(int,input().split())
mx =[0 for i in range(0,n)]
for z in range(0,m):
  a,b=map(int,input().split())
  mx[b-1]=max(mx[b-1],a-1)
cut=0
cn=0
for z in range(0,n):
  if cut<mx[z]:
   	cut=z
    cn=cn+1
print(cn)

Fixed submission:
a,b,c=map(int,input().split())
print(max(a,b,c)-min(a,b,c))

Buggy python submission (verdict: Runtime Error):
a=input()
b=input()
for i in range(0,len(a)):
  if a==b[i:]+b[:i] : 
    print("Yes")
    exit(0)
print("No")

Fixed submission:
a,b,c=map(int,input().split())
print(max(a,b,c)-min(a,b,c))

Buggy python submission (verdict: Runtime Error):
lis=map(int,input().split())
print(max(lis)-min(lis))

Fixed submission:
a,b,c=map(int,input().split())
print(max(a,b,c)-min(a,b,c))
Buggy python submission (verdict: Runtime Error):
a=input()
b=input()
z=len(a)
for i in range(0,z):
  if a==b[i:]+b[:i] : 
    print("Yes")
    Exit(0)
print("No")

Fixed submission:
a=input()
b=input()
z=len(a)
for i in range(0,z):
  if a==b[i:]+b[:i] : 
    print("Yes")
    exit(0)
print("No")
Buggy python submission (verdict: Runtime Error):
n=input()
print(sum([int(j) for j in input().split()])-n)

Fixed submission:
n=int(input())
print(sum([int(j) for j in input().split()])-n)
Buggy python submission (verdict: Runtime Error):
n,m=map(int,input().split())
mx =[0 for i in range(0,n)]
for z in range(0,m):
  a,b=map(int,input().split())
  mx[b-1]=max(mx[b-1],a-1)
cut=0
cn=0
for z in range(0,n):
  if cut<mx[z]:
   	cut=z
    cn=cn+1
print(cn)

Fixed submission:
n,m=map(int,input().split())
mx =[-1 for i in range(0,n)]
for z in range(0,m):
  a,b=map(int,input().split())
  mx[b-1]=max(mx[b-1],a-1)
cut=-1
cn=0
for z in range(0,n):
	if cut<mx[z]:
		cut=z-1
		cn=cn+1
print(cn)

Buggy python submission (verdict: Runtime Error):
n,m=map(int,input().split())
mx =[0 for i in range(0,n)]
for z in range(0,m):
  a,b=map(int,input().split())
  mx[b]=max(mx[b],a)
cnt=0
cn=0
for z in range(0,n):
  if cut<mx[z]:
   	cut=z
    cn=cn+1
print(cn)

Fixed submission:
n,m=map(int,input().split())
mx =[-1 for i in range(0,n)]
for z in range(0,m):
  a,b=map(int,input().split())
  mx[b-1]=max(mx[b-1],a-1)
cut=-1
cn=0
for z in range(0,n):
	if cut<mx[z]:
		cut=z-1
		cn=cn+1
print(cn)
Buggy python submission (verdict: Runtime Error):
# n objects m seller 
# Write your code here
import math
a,b=map(int,input().split());
ans=a;
if a>b : 
    ans--;
print(ans);

Fixed submission:
# n objects m seller 
# Write your code here
import math
a,b=map(int,input().split());
ans=a;
if a>b : 
    ans=ans-1;
print(ans);
Buggy python submission (verdict: Runtime Error):
N = int(input())
c = input()
W = c.count('W')
print(c[:R].count('W'))

Fixed submission:
N = int(input())
c = input()
W = c.count('W')
R = c.count('R')
print(c[:R].count('W'))
Buggy python submission (verdict: Runtime Error):
N,M,K = map(int,input().split())
A = list(map(int,input().split()))
B = list(map(int,input().split()))
A.append(10**9+1)
B.append(10**9+1)

Ac = 0
Bc = 0
Time = 0
for _ in range(N+M):
    if A[Ac] > B[Bc]:
        Time += B[Bc]
        Bc += 1
        if Time > K:
            Bc -= 1
            Time -= B[Bc]
            break
    else:
        Time += A[Ac]
        Ac += 1
        if Time > K:
            Ac -= 1
            Time -= A[Ac]
            break
            
print(Ac+Bc)

Fixed submission:
a = int(input())
print(int(a+a*a+a**3))
Buggy python submission (verdict: Time Limit Exceeded):
import itertools
import bisect

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

Ac = list(itertools.accumulate(A))
Bc = list(itertools.accumulate(B))

iA = bisect.bisect_right(Ac,K)

A_ok = [0]+Ac[:iA]

ans = 0
for i in range(len(A_ok)):
    K2 = K - A_ok[i]
    iB = bisect.bisect_right(Bc,K2)
    Bc = Bc[:iB]
    ans = max(ans,i+iB)

print(ans)

Fixed submission:
import itertools
import bisect

N,M,K = map(int,input().split())
A = list(map(int,input().split()))
B = list(map(int,input().split()))
B = B + [10**10]

Ac = list(itertools.accumulate(A))

iA = bisect.bisect_right(Ac,K)

A_ok = Ac[:iA][::-1]+[0]
Alen = len(A_ok)

ans = 0
SUM = 0
cnt = 0
for i in range(Alen):
    K2 = K - A_ok[i]
    k = cnt
    for j in range(M-k):
        if SUM + B[j+k] <= K2:
            cnt += 1
            SUM += B[j+k]
        else:
            break
    ans = max(ans,(Alen-i-1+cnt))

print(ans)
Buggy python submission (verdict: Runtime Error):
import sympy

A,B,K = map(int, input().split())


C = sympy.gcd(A,B)

y = []
for i in range(C):
    if C % (i+1) == 0:
        y.append(i+1)


print(y[::-1][K-1])

Fixed submission:
A,B,K = map(int, input().split())

def gcd(a, b):
    if a < b:
        a, b = b, a
    if b == 0:
        return a
    c = a % b
    return gcd(b, c)


C = gcd(A,B)

y = []
for i in range(C):
    if C % (i+1) == 0:
        y.append(i+1)


print(y[::-1][K-1])

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

A,B,K = map(int, input().split())


C = math.gcd(A,B)

y = []
for i in range(C):
    if C % (i+1) == 0:
        y.append(i+1)


print(y[::-1][K-1])

Fixed submission:
A,B,K = map(int, input().split())

def gcd(a, b):
    if a < b:
        a, b = b, a
    if b == 0:
        return a
    c = a % b
    return gcd(b, c)


C = gcd(A,B)

y = []
for i in range(C):
    if C % (i+1) == 0:
        y.append(i+1)


print(y[::-1][K-1])
Buggy python submission (verdict: Runtime Error):
N,K = map(int, input().split())
A = list(map(int,input().split()))

binK = bin(K)[2:]
maC = 0

B = [0 for _ in [0]*40]

for i in range(N):
    C = bin(A[i])[2:][::-1]
    maC = max(maC,len(C))
    for j in range(len(C)):
        B[j] = B[j] + int(C[j])
        
an = 0

PPP = max(len(binK),maC)

KK = [int(t < N/2) for t in B[:len(binK)][::-1]]
for k in range(PPP-1):
    if k < len(binK):
        an = an + max(B[k], N-B[k])*(2**k)
    else:
        an = an + B[k]*(2**k)

t = PPP-1 
an1 = an + (N-B[t])*(2**t)
an0 = an + (B[t])*(2**t)


flag = 0
if an0 >= an1:
    print(an0)
    flag = 1
else:
    for l in range(t+1):
        if int(binK[l]) > KK[l]:
            break
        if int(binK[l]) < KK[l]:
            ll = len(KK) - l -1
            an1 = an1 - max(B[ll], N-B[ll])*(2**ll) + min(B[ll], N-B[ll])*(2**ll)
            
if flag < 1:
    print(max(an0,an1))

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

binK = bin(K)[2:]
maC = 0

B = [0 for _ in [0]*40]

for i in range(N):
    C = bin(A[i])[2:][::-1]
    maC = max(maC,len(C))
    for j in range(len(C)):
        B[j] = B[j] + int(C[j])
        
an = 0

PPP = max(len(binK),maC)
KK = [int(t < N/2) for t in B[:len(binK)][::-1]]

for k in range(PPP):
    if k < len(binK):
        an = an + max(B[k], N-B[k])*(2**k)
    else:
        an = an + B[k]*(2**k)

#t = PPP-1 
#an1 = an + (N-B[t])*(2**t)
#an0 = an + (B[t])*(2**t)


#flag = 0
#if an0 >= an1:
#    print(an0)
#    flag = 1
#else:
for l in range(len(binK)):
    if int(binK[l]) > KK[l]:
        break
    if int(binK[l]) < KK[l]:
        ll = len(KK) - l -1
        an = an - max(B[ll], N-B[ll])*(2**ll) + min(B[ll], N-B[ll])*(2**ll)
            
#if flag < 1:
print(an)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))
if A == 1:
    print(5)
else:
    print(A)

Fixed submission:
N = int(input())
A = sum(list(map(int, list(str(N)))))
if A == 1:
    print(10)
else:
    print(A)
Buggy python submission (verdict: Runtime Error):
n = int(input())

f = [0] * 1001

for x in range(1, 101):
    for y in range(1, 101):
        for z in range(1, 101):
            s = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if s <= 1000:
                f[s] += 1

for i in range(n):
    print(f[i+1])

Fixed submission:
n = int(input())

f = [0] * (n+1)

for x in range(1, 101):
    for y in range(1, 101):
        for z in range(1, 101):
            s = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if s < n + 1:
                f[s] += 1

for i in range(n):
    print(f[i+1])
Buggy python submission (verdict: Time Limit Exceeded):
MAX_PRIME = 10**5
is_prime = [1] * MAX_PRIME
primes = []
is_prime[0] = 0
is_prime[1] = 0
for i in range(MAX_PRIME):
    if is_prime[i]:
        primes.append(i)
        for j in range(2, ((MAX_PRIME-1)//i) + 1):
            is_prime[i*j] = 0

def factorization(n):
    factor = {}
    for p in primes:
        if p ** 2 > n:
            break
        while n % p == 0:
            n //= p
            if p not in factor:
                factor[p] = 1
            else:
                factor[p] += 1
    if n > 1:
        factor[n] = 1
    return factor

n = int(input())
ans = 1
for _, c in factorization(n-1).items():
    ans *= c + 1

f = factorization(n)
k = list(f.keys())
def dfs(num, i, cum, searched):
    if num not in searched:
        x = n
        while x % num == 0 and x > 0:
            x //= num
        if x % num == 1:
            cum += 1
    searched.add(num)
    if i < len(k):
        p = k[i]
        for j in range(f[p]+1):
            cum = dfs(num * p ** j, i+1, cum, searched)
    return cum

print(f)
print(dfs(1, 0, 0, set()) + ans - 1, ans)

Fixed submission:
MAX_PRIME = 10 ** 6
is_prime = [1] * MAX_PRIME
primes = []
is_prime[0] = 0
is_prime[1] = 0
for i in range(MAX_PRIME):
    if is_prime[i]:
        primes.append(i)
        for j in range(2, ((MAX_PRIME-1)//i) + 1):
            is_prime[i*j] = 0

def factorization(n):
    factor = {}
    for p in primes:
        if p ** 2 > n:
            break
        while n % p == 0:
            n //= p
            if p not in factor:
                factor[p] = 1
            else:
                factor[p] += 1
    if n > 1:
        factor[n] = 1
    return factor

n = int(input())
ans = 1
for _, c in factorization(n-1).items():
    ans *= c + 1

f = factorization(n)
k = list(f.keys())
def dfs(num, i):
    ret = 0
    if i == len(k):
        if num != 1:
            x = n
            while x % num == 0:
                x //= num
            if x % num == 1:
                ret += 1
        return ret
    else:
        p = k[i]
        for j in range(f[p]+1):
            ret += dfs(num * p ** j, i+1)
        return ret

print(dfs(1, 0) + ans - 1)