Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
n=int(input())
a=list(map(int,input().split()))
mod=10**9+7
d=dict()
for i in range(n):
  if a[i] not in d:
    d[a[i]]=1
  else:
    d[a[i]]+=1
d=sorted(list(d.items()))
if n%2:
  for i in range(len(d)):
    if i==0:
      if d[i][0]!=0 or d[i][1]!=1:
        print(0)
        exit()
    else:
      if d[i][0]!=i*2 or d[i][1]!=2:
        print(0)
        exit()
  print(pow(2,len(d)-1,mod)
else:
  for i in range(len(d)):
    if d[i][0]!=2*i+1 or d[i][1]!=2:
      print(0)
      exit()
  print(2,len(d),mod)

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
mod=10**9+7
d=dict()
for i in range(n):
  if a[i] not in d:
    d[a[i]]=1
  else:
    d[a[i]]+=1
d=sorted(list(d.items()))
if n%2:
  for i in range(len(d)):
    if i==0:
      if d[i][0]!=0 or d[i][1]!=1:
        print(0)
        exit()
    else:
      if d[i][0]!=i*2 or d[i][1]!=2:
        print(0)
        exit()
  print(pow(2,len(d)-1,mod))
else:
  for i in range(len(d)):
    if d[i][0]!=2*i+1 or d[i][1]!=2:
      print(0)
      exit()
  print(pow(2,len(d),mod))
Buggy python submission (verdict: Time Limit Exceeded):
n,k,l=map(int,input().split())
class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]
uf1=UnionFind(n)
uf2=UnionFind(n)
for i in range(k):
  p,q=map(int,input().split())
  uf1.union(p-1,q-1)
for i in range(l):
  r,s=map(int,input().split())
  uf2.union(r-1,s-1)
ans=[0]*n
for i in range(n):
  s1=set(uf1.members(i))
  s2=set(uf2.members(i))
  ans[i]=len(s1&s2)
print(*ans)

Fixed submission:
n,k,l=map(int,input().split())
class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]
uf1=UnionFind(n)
uf2=UnionFind(n)
d=dict()
a,b=[0]*n,[0]*n
for i in range(k):
  p,q=map(int,input().split())
  uf1.union(p-1,q-1)
ans=[0]*n
for i in range(l):
  r,s=map(int,input().split())
  uf2.union(r-1,s-1)
for i in range(n):
  a[i]=uf1.find(i)
  b[i]=uf2.find(i)
  if (a[i],b[i]) not in d:
    d[(a[i],b[i])]=1
  else:
    d[(a[i],b[i])]+=1
for i in range(n):
  ans[i]=d[(a[i],b[i])]
print(*ans)
Buggy python submission (verdict: Runtime Error):
s=input()
k=int(input())
sl=[]
n=len(s)
for i in range(n):
  if s[i]!='a':
    if 26-(ord(s[i])-97)<=k:
      sl.append('a')
      k-=26-(ord(s[i])-97)
    else:
      sl.append(s[i])
  else:
    sl.append(s[i])
if k>0:
  for i in range(n):
    sl[n-i-1]=chr(ord(sl[n-1-i])+k)
    break
print(''.join(sl))

Fixed submission:
s=input()
k=int(input())
sl=[]
n=len(s)
for i in range(n):
  if s[i]!='a':
    if 26-(ord(s[i])-97)<=k:
      sl.append('a')
      k-=26-(ord(s[i])-97)
    else:
      sl.append(s[i])
  else:
    sl.append(s[i])
if k>0:
  if k%26!=0:
    sl[n-1]=chr(ord(sl[n-1])+k%26)
print(''.join(sl))
Buggy python submission (verdict: Time Limit Exceeded):
h,w,n=map(int,input().split())
black=[tuple(map(int,input().split())) for _ in range(n)]
sblack=set(black)
ans=[0]*10
for a,b in black:
    for x in range(3):
        for y in range(3):
            cnt=0
            ok=True
            for nx,ny in [(0,0),(0,1),(0,2),(1,0),(1,1),(1,2),(2,0),(2,1),(2,2)]:
                dx,dy=nx-x,ny-y
                if 1<=a-dx<=h and 1<=b-dy<=w:
                    if (a-dx,b-dy) in sblack:
                        cnt+=1
                else:
                    ok=False
                    break
            if ok:
                ans[cnt]+=1
for i in range(1,10):
    ans[i]//=i
ans[0]=(h-2)*(w-2)-sum(ans[1:])
for num in ans:
    print(num)

Fixed submission:
h,w,n=map(int,input().split())
black=[tuple(map(int,input().split())) for _ in range(n)]
sblack=set(black)
ans=[0]*10
for a,b in black:
    for x in range(3):
        for y in range(3):
            cnt=0
            ok=True
            for nx,ny in [(0,0),(0,1),(0,2),(1,0),(1,1),(1,2),(2,0),(2,1),(2,2)]:
                dx,dy=nx-x,ny-y
                if 1<=a-dx<=h and 1<=b-dy<=w:
                    if (a-dx,b-dy) in sblack:
                        cnt+=1
                else:
                    ok=False
                    break
            if ok:
                ans[cnt]+=1
for i in range(1,10):
    ans[i]//=i
ans[0]=(h-2)*(w-2)-sum(ans[1:])
for num in ans:
    print(num)
Buggy python submission (verdict: Time Limit Exceeded):
n,a=map(int,input().split())
x=list(map(int,input().split()))
dp=[[[0]*(n*a+1) for _ in range(n+1)] for _ in range(n+1)]
dp[0][0][0]=1
for i in range(1,n+1):
    for j in range(i+1):
        for k in range(n*a+1):
            if k+x[i-1]<=n*a:
                if j>=1:
                    dp[i][j][k+x[i-1]]+=dp[i-1][j-1][k]
            dp[i][j][k]+=dp[i-1][j][k]
ans=0
for i in range(1,n+1):
    ans+=dp[n][i][i*a]
print(ans)

Fixed submission:
n,a=map(int,input().split())
x=list(map(int,input().split()))
dp=[[[0]*(n*a+1) for _ in range(n+1)] for _ in range(n+1)]
dp[0][0][0]=1
for i in range(1,n+1):
    for j in range(i+1):
        for k in range(n*a+1):
            if k+x[i-1]<=n*a:
                if j>=1:
                    dp[i][j][k+x[i-1]]+=dp[i-1][j-1][k]
            dp[i][j][k]+=dp[i-1][j][k]
ans=0
for i in range(1,n+1):
    ans+=dp[n][i][i*a]
print(ans)
Buggy python submission (verdict: Runtime Error):
n=int(input())
a=list(map(int,input().split()))
ans=10**18
for num in range(-100,101):
    cnt=0
    for i in range(n):
        cnt+=(num-a[i])**2
    ans=min(ans,cnt)
print(ans)

Fixed submission:
n=int(input())
ans=0
for num in range(1,n+1):
    ans+=num
print(ans)
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int, input().split()))

ans = 0
double = 0

for i in a:
    double += i*i

ans = (sum(a) * sum(a) - double) // 2
print((ans % (10**9 + 7))

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

ans = 0
double = 0

for i in a:
    double += i*i

ans = (sum(a) * sum(a) - double) // 2
print(ans % (10**9 + 7))
Buggy python submission (verdict: Runtime Error):
a = int(input())

print(int((a*(a**3-1)/(a-1))))

Fixed submission:
a = int(input())

print(int(a+a**2+a**3))
Buggy python submission (verdict: Runtime Error):
a = list(map(int, input().split()))

print(a.index("0"))

Fixed submission:
a = list(map(int, input().split()))

print(a.index(0)+1)

Buggy python submission (verdict: Runtime Error):
a = list(map(int, input().split()))

print(list.index("0"))

Fixed submission:
a = list(map(int, input().split()))

print(a.index(0)+1)
Buggy python submission (verdict: Runtime Error):
a = input(str(a))

print(a[0:2])

Fixed submission:
a = input()

print(a[0:3])
Buggy python submission (verdict: Runtime Error):
a,v= map(int, input().split())
b,w= map(int, input().split())
t=input(int())

if w>=v:
    print("NO")

elif abs(a-b)/abs(v-w)<=t:
        print("YES")

else :
        print("NO")


Fixed submission:
a,v= map(int, input().split())
b,w= map(int, input().split())
t=int(input())

if w>=v:
    print("NO")

elif (abs(a-b)/abs(v-w))<=t:
        print("YES")

else :
        print("NO")

Buggy python submission (verdict: Runtime Error):
a,v= map[list() ,int.split()]
b,w= map[list() ,int.split()]
t=input()

if w>=v:
    print("NO")

    elif abs(a-b)/abs(v-w)<=T:
        print("YES")

    else :
        print("NO")

Fixed submission:
a,v= map(int, input().split())
b,w= map(int, input().split())
t=int(input())

if w>=v:
    print("NO")

elif (abs(a-b)/abs(v-w))<=t:
        print("YES")

else :
        print("NO")
Buggy python submission (verdict: Runtime Error):
N = int(input())
ans = 1
 
 
i = [int(a) for a in input().split()]
 
if 0 in i:
  print(0)
  break
 
	for b in range(N):
  		ans = ans * i[b]
 
  		if ans > 10**18:
   		 	ans = -1
 
print(ans)

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

print(A*B)
Buggy python submission (verdict: Runtime Error):
N = input()

M = N%10

if(M == 2 or M == 4 or M == 5 or M == 7 or M == 9):
    print("hon")

else if(M == 0 or M == 1 or M == 6 or M == 8):
    print("pon")

else if(M == 3):
    print("bon")

Fixed submission:
N = input()

M = int(N) % 10

if M == 2 or M == 4 or M == 5 or M == 7 or M == 9:
    print("hon")

elif M == 0 or M == 1 or M == 6 or M == 8:
    print("pon")

elif M == 3:
    print("bon")
Buggy python submission (verdict: Runtime Error):
n, k = map(int,input().split())
A = []
N = []

N = set(range(1,n+1))

for i in range(1,k+1):
    d = int(input())
    a=set(map(int,input().split()))
    A += a

ans = list(N-A)

print(len(ans))

Fixed submission:
n, k = map(int,input().split())
A = []
N = []

N = list(range(1,n+1))

for i in range(1,k+1):
    d = int(input())
    a=list(map(int,input().split()))
    A += a

ans = list(set(N)-set(A))

print(len(ans))
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
result=0
for A in range(1,N):
  for B in range(1,int(N/A)+1):
    if (N-A*B)>=1:
      result+=1
print(result)

Fixed submission:
N=int(input())
result=0
for A in range(1,N):
  result+=int((N-1)/A)
print(result)
Buggy python submission (verdict: Runtime Error):
N=int(input())
N_sum=[]
for A in range(1,int((N+1)/2)):
  B=N-A
  N_sum.append(sum(map(int,str(A)+str(B))))
print(min(N_sum))

Fixed submission:
N=int(input())
N_sum=[]
for A in range(1,int(N/2)+1):
  B=N-A
  N_sum.append(sum(map(int,str(A)+str(B))))
print(min(N_sum))
Buggy python submission (verdict: Time Limit Exceeded):
def prime(p):
    memo = 0
    for i in range(1,(int(p**0.5)+1)):
        if p%i==0:
            memo += 2
            if i == p//i:
                memo -= 1
        #print(memo,i,p)
    return memo      

N = int(input())

ans = 0
for i in range(1,N):
    ans += prime(i)
print(ans)

Fixed submission:
N = int(input())
memo = [1]*(N)
memo[0] = 0
ans = 0
for i in range(2,N):
    tmp = i
    while tmp < N:
        memo[tmp] += 1
        tmp += i
print(sum(memo))
Buggy python submission (verdict: Runtime Error):
N,X,M = map(int,input().split())
#全体ループを見る配列
t_loop = [X]
#初回ループを見る配列
f_loop = [X]
#出現回数を見る辞書
memo = {X:1}
#2回目以降のループを見る配列
s_loop = []
while True:
    new_val = t_loop[-1]**2%M
    t_loop.append(new_val)
    if new_val not in f_memo:
        memo[new_val] = 1
        f_loop.append(new_val)
    else:
        memo[new_val] += 1
        if memo[new_val] == 3:
            break
        else:
            s_loop.append(new_val)

ans = 0
if N <= len(f_loop):
    ans += sum(f_loop[:N])
else:
    ans += sum(f_loop)
    shou = (N-len(f_loop))//len(s_loop)
    amari = (N-len(f_loop))%len(s_loop)
    ans += shou*sum(s_loop)
    ans += sum(s_loop[:amari])
    
print(ans)

Fixed submission:
N,X,M = map(int,input().split())
t_loop = [X]
f_loop = [X]
f_memo = {X:1}
s_loop = []
while True:
    new_val = t_loop[-1]**2%M
    t_loop.append(new_val)
    if new_val not in f_memo:
        f_memo[new_val] = 1
        f_loop.append(new_val)
    else:
        f_memo[new_val] += 1
        if f_memo[new_val] == 3:
            break
        else:
            s_loop.append(new_val)

ans = 0
if N <= len(f_loop):
    ans += sum(f_loop[:N])
else:
    ans += sum(f_loop)
    shou = (N-len(f_loop))//len(s_loop)
    amari = (N-len(f_loop))%len(s_loop)
    ans += shou*sum(s_loop)
    ans += sum(s_loop[:amari])
    
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
mod = 1000000007
N = int(input())
A = list(map(int,input().split()))
ans = 0
for i in range(N-1):
    for j in range(i+1,N):
        ans += A[i]*A[j]
        ans %= mod
print(ans)

Fixed submission:
mod = 1000000007
N = int(input())
A = list(map(int,input().split()))
sum_a = sum(A)
ans = 0
for a in A:
    ans += a*(sum_a-a)
    #print(sum_a-a)
ans //= 2

print(ans%mod)
Buggy python submission (verdict: Time Limit Exceeded):
def prime(p):
    memo = set()
    for i in range(2,(int(p**0.5)+1)):
        while p%i==0:
            p //= i
            memo.add(i)
    if p != 1:
        memo.add(p)
    return memo

from math import gcd

N = int(input())

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

tmp_gcd = A[0]

for i in range(1,N):
    tmp_gcd = gcd(tmp_gcd, A[i])

if 1 < tmp_gcd:
    print('not coprime')
    exit()

servive_prime = set()
for a in A:
    now_prime = prime(a)
    tmp_prime = servive_prime.union(now_prime)
    if len(tmp_prime) < len(servive_prime) + len(now_prime):
        print('setwise coprime')
        exit()
    servive_prime = tmp_prime
print('pairwise coprime')
    

Fixed submission:
def prime(p):
    memo = set()
    for i in range(2,(int(p**0.5)+1)):
        while p%i==0:
            p //= i
            memo.add(i)
    if p != 1:
        memo.add(p)
    return memo

from math import gcd

N = int(input())

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

tmp_gcd = A[0]

for i in range(1,N):
    tmp_gcd = gcd(tmp_gcd, A[i])

if 1 < tmp_gcd:
    print('not coprime')
    exit()

servive_prime = set()
for a in A:
    now_prime = prime(a)
    ls,ln = len(servive_prime), len(now_prime)
    servive_prime.update(now_prime)
    if len(servive_prime) < ls + ln:
        print('setwise coprime')
        exit()
print('pairwise coprime')
Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
 
H, W = [int(x) for x in input().split()]

Ch,Cw = map(int,input().split())

Ch,Cw = Ch-1,Cw-1

Dh,Dw = map(int,input().split())

Dh,Dw = Dh-1,Dw-1

cell = [list(input()) for i in range(H)]

dp = [[-1]*W for _ in range(H)]

stack = deque()
stack.append([Ch,Cw])

dp[Ch][Cw] = 0

while len(stack) > 0:
    h,w = stack.popleft()
    for dy, dx in [[1, 0], [0, 1], [-1, 0], [0, -1]]:
        nh = h + dy
        nw = w + dx
        if 0 <= nh < H and 0 <= nw < W and (dp[nh][nw] == -1 or dp[nh][nw] > dp[h][w]):
            if cell[nh][nw] == '.':
                dp[nh][nw] = dp[h][w]
                stack.append([nh,nw])
            else:
                for ddy in range(-2,3):
                    for ddx in range(-2,3):
                        if ddy==ddx==0:
                            continue
                        nnh = h + ddy
                        nnw = w + ddx
                        if 0 <= nnh < H and 0 <= nnw < W:
                            if cell[nnh][nnw] == '.' and (dp[nnh][nnw] == -1 or dp[nnh][nnw] > dp[h][w]+1):
                                dp[nnh][nnw] = dp[h][w] + 1
                                stack.append([nnh,nnw])
if dp[Dh][Dw] != -1:
    print(dp[Dh][Dw])
else:
    print(-1)


Fixed submission:
import copy

from collections import deque
 
H, W = [int(x) for x in input().split()]

Ch,Cw = map(int,input().split())

Ch,Cw = Ch-1,Cw-1

Dh,Dw = map(int,input().split())

Dh,Dw = Dh-1,Dw-1

cell = [list(input()) for i in range(H)]

dp = [[-1]*W for _ in range(H)]

copy_stack = []
copy_stack.append([Ch,Cw])

nstack = []

dp[Ch][Cw] = 0

def search(stack):
    while len(stack) > 0:
        h,w = stack.pop()
        for dy, dx in [[1, 0], [0, 1], [-1, 0], [0, -1]]:
            nh = h + dy
            nw = w + dx
            if 0 <= nh < H and 0 <= nw < W and (dp[nh][nw] == -1 or dp[nh][nw] > dp[h][w]):
                if cell[nh][nw] == '.':
                    dp[nh][nw] = dp[h][w]
                    stack.append([nh,nw])
                    copy_stack.append([nh,nw])
                   
while True:
    if len(copy_stack):
        nstack = copy.copy(copy_stack)
    else:
        copy_stack = copy.copy(nstack)
    search(nstack)
    #print(dp)
    if dp[Dh][Dw] == -1:
        while len(copy_stack)>0:
            h,w = copy_stack.pop()
            for ddy in range(-2,3):
                for ddx in range(-2,3):
                    if ddy==ddx==0:
                        continue
                    nnh = h + ddy
                    nnw = w + ddx
                    if 0 <= nnh < H and 0 <= nnw < W:
                        if cell[nnh][nnw] == '.' and dp[nnh][nnw] == -1:
                            dp[nnh][nnw] = dp[h][w] + 1
                            nstack.append([nnh,nnw])
        if len(nstack) == 0:
            break
    else:
        break
                        
if dp[Dh][Dw] != -1:
    print(dp[Dh][Dw])
else:
    print(-1)
Buggy python submission (verdict: Runtime Error):

from sys import stdin

import itertools

import copy

import collections






N,K = map(int,input().split())

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

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

ans = -10000000000

if K <= N:
    for i in range(N):
        count = 0
        tmp_point = 0
        nv = i
        while count < K:
            nvv = P[nv]
            nvv -= 1
            tmp_point += C[nvv]
            count += 1
            nv = nvv
            ans = max(ans, tmp_point)
    print(ans)
else:
    loop = [0]*N
    for i in range(N):
        count = 0
        check = [False]*N
        tmp_point = 0
        nv = i
        while True:
            nvv = P[nv]
            nvv -= 1
            if check[nvv] == True:
                break
            check[nvv] = True
            tmp_point += C[nvv]
            count += 1
            nv = nvv
            ans = max(ans, tmp_point)
        loop[i] = [tmp_point, count, i]
    loop.sort(reverse=True)
    max_volue =  loop[0][0]
    #print(loop)
    if 0 <= max_volue:
        new_ans = -10000000
        for value, counter, key in loop:
            if value != max_volue:
                break
            shou = K//counter
            amari = K%counter
            tmp_ans = value*shou
            new_ans = max(new_ans, tmp_ans)
            count = 0
            nv = key
            while count < amari:
                nvv = P[nv]
                nvv -= 1
                tmp_ans += C[nvv]
                count += 1
                nv = nvv
                new_ans = max(new_ans, tmp_ans)
        print(new_ans)
        
    else:
        print(max(max(loop),ans))
        
            
    
    



    
    

    











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

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

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

ans = -10000000000

if K <= N:
    for i in range(N):
        count = 0
        tmp_point = 0
        nv = i
        while count < K:
            nvv = P[nv]
            nvv -= 1
            tmp_point += C[nvv]
            count += 1
            nv = nvv
            ans = max(ans, tmp_point)
    print(ans)
else:
    loop = [0]*N
    for i in range(N):
        count = 0
        check = [False]*N
        tmp_point = 0
        nv = i
        while True:
            nvv = P[nv]
            nvv -= 1
            if check[nvv] == True:
                break
            check[nvv] = True
            tmp_point += C[nvv]
            count += 1
            nv = nvv
            ans = max(ans, tmp_point)
        loop[i] = [tmp_point, count, i]
    loop.sort(reverse=True)
    #print(loop)
    new_ans = -10000000
    for value, counter, key in loop:
        if value < 0:
            break
        shou = K//counter-1
        amari = K%counter+counter
        tmp_ans = value*shou
        new_ans = max(new_ans, tmp_ans)
        count = 0
        nv = key
        while count < amari:
            nvv = P[nv]
            nvv -= 1
            tmp_ans += C[nvv]
            count += 1
            nv = nvv
            new_ans = max(new_ans, tmp_ans)

        
    print(max(loop[0][0], ans, new_ans))
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())

if n%2==0:
    print(-1)
    exit()

memo = '7'

ans = 1

while int(memo)%n != 0:
    memo = memo + '7'
    ans += 1
    #print(memo)
print(ans)

Fixed submission:
n=int(input())

x = 0

for i in range(n+1):
    x = x*10+7
    x %= n
    if x == 0:
        print(i+1)
        exit()
    #print(x)
print(-1)
Buggy python submission (verdict: Time Limit Exceeded):
n,k = map(int,input().split())

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

evaluation = 1

for i in range(k):
    evaluation *= a[i]

for i in range(k, n+1):
    if i == n:
        break
    #print(a[i], a[i-k])
    next_evaluation = a[i]*evaluation//a[i-k]
    if evaluation < next_evaluation:
        print('Yes')
    else:
        print('No')
    evaluation = next_evaluation

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

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


for i in range(k, n+1):
    if i == n:
        break
    #print(a[i], a[i-k])
    if a[i-k] < a[i]:
        print('Yes')
    else:
        print('No')
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())

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

a.sort()

if n > 1:
    if a[0] == a[1]:
        ans = 0
    else:
        ans = 1
else:
    print(1)
    exit()

for i in range(1,n):
    flag = True
    for j in range(i):
        if a[i] % a[j] == 0:
            flag = False
            break
        if int(a[i]//2)+1 < a[j]:  
            break
    if i == n-1:
        if flag and a[i] != a[i-1]:
            ans += 1
    else:
        if flag and a[i] != a[i-1] and a[i] != a[i+1]:
            ans += 1
print(ans)

Fixed submission:
n = int(input())
a = sorted(list(map(int, input().split())))
if n == 1:
    print(1)
    exit()  
check_list = [0] * (10**6 + 2)
ans = 0
for i in range(n):
    tmp = a[i]
    while tmp <= a[-1]:
        check_list[tmp] += 1
        tmp += a[i]
for aa in a:
    if check_list[aa] == 1:
        ans += 1
print(ans)

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

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

a.sort()

if a[0] == a[1]:
    ans = 0
else:
    ans = 1

for i in range(1,n):
    flag = True
    for j in range(i):
        if a[i] % a[j] == 0:
            flag = False
            break
        if int(a[i]**0.5)+1 < a[j]:  
            break
    if i == n-1:
        if flag and a[i] != a[i-1]:
            ans += 1
    else:
        if flag and a[i] != a[i-1] and a[i] != a[i+1]:
            ans += 1
print(ans)
        

Fixed submission:
n = int(input())
a = sorted(list(map(int, input().split())))
if n == 1:
    print(1)
    exit()  
check_list = [0] * (10**6 + 2)
ans = 0
for i in range(n):
    tmp = a[i]
    while tmp <= a[-1]:
        check_list[tmp] += 1
        tmp += a[i]
for aa in a:
    if check_list[aa] == 1:
        ans += 1
print(ans)

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

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

a.sort()

if a[0] == a[1]:
    ans = 0
else:
    ans = 1

for i in range(1,n):
    flag = True
    for j in range(i):
        if a[i] % a[j] == 0:
            flag = False
            break
    if flag:
        ans += 1
print(ans)

Fixed submission:
n = int(input())
a = sorted(list(map(int, input().split())))
if n == 1:
    print(1)
    exit()  
check_list = [0] * (10**6 + 2)
ans = 0
for i in range(n):
    tmp = a[i]
    while tmp <= a[-1]:
        check_list[tmp] += 1
        tmp += a[i]
for aa in a:
    if check_list[aa] == 1:
        ans += 1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())

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

ans = 1

for i in t:
  ans *= i

if 10**18 < ans:
  print(-1)
else:
  print(ans)

Fixed submission:
n=int(input())

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

t.sort()

ans = 1

for i in t:
  ans *= i
  if 10**18 < ans:
    print(-1)
    exit()

print(ans)