Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
import itertools

T = input()
# T = 'PD?D??P'
# T = 'P?P?'

ans = ''
n = 0
h = T.count('?')
for v in itertools.combinations_with_replacement(['P', 'D'], h):
    # print(v)
    T2 = T
    i = 0
    while True:
        if '?' not in T2:
            break
        T2 = T2.replace('?', v[i], 1)
        i += 1
    d = T2.count('D')
    pd = T2.count('PD')
    if n < d+pd:
        n = d+pd
        ans = T2

print(ans)


Fixed submission:
T = input()
# T = 'PD?D??P'
# T = 'P?P?'

ans = ''
n = 0

T2 = T.replace('?', 'D')
d = T2.count('D')
pd = T2.count('PD')
if n < d+pd:
    n = d+pd
    ans = T2

T2 = T.replace('?D', 'PD')
T2 = T2.replace('?', 'D')
d = T2.count('D')
pd = T2.count('PD')
if n < d+pd:
    n = d+pd
    ans = T2

print(ans)

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

T = input()
# T = 'PD?D??P'
# T = 'P?P?'

ans = []
h = T.count('?')
for v in itertools.combinations_with_replacement(['P', 'D'], h):
    # print(v)
    T2 = T
    i = 0
    while True:
        if '?' not in T2:
            break
        T2 = T2.replace('?', v[i], 1)
        i += 1
    d = T2.count('D')
    pd = T2.count('PD')
    ans.append([d+pd, T2])

# print(ans)
print(max(ans, key=lambda x: x[0])[1])


Fixed submission:
T = input()
# T = 'PD?D??P'
# T = 'P?P?'

ans = ''
n = 0

T2 = T.replace('?', 'D')
d = T2.count('D')
pd = T2.count('PD')
if n < d+pd:
    n = d+pd
    ans = T2

T2 = T.replace('?D', 'PD')
T2 = T2.replace('?', 'D')
d = T2.count('D')
pd = T2.count('PD')
if n < d+pd:
    n = d+pd
    ans = T2

print(ans)
Buggy python submission (verdict: Runtime Error):
import sys
import itertools
# import math
# from pprint import pprint
import numpy as np


N,M,X = map(int, sys.stdin.readline().strip().split())
C = []
for _ in range(0, N):
    C.append(list(map(int, sys.stdin.readline().strip().split())))

# N = 3
# M = 3
# X = 10
#
# C = [
#     [60,2,2,4],
#     [70,8,7,9],
#     [50,2,3,9],
# ]

C.sort(key=lambda x:x[0])

for i in range(1, N+1):
    for j in itertools.combinations(C, i):
        l = [k[1:] for k in j]
        # pprint(l)
        if len(l) > 1:
            ll = np.sum(l, axis=0)
            # print(ll)
            flag = all((m >= X) for m in ll)
        else:
            flag = all((m >= X) for m in l[0])
        if flag:
            print(np.sum(j, axis=0)[0])
            sys.exit()
print(-1)


Fixed submission:
import sys
import itertools
# import math
# from pprint import pprint
import numpy as np


N,M,X = map(int, sys.stdin.readline().strip().split())
C = []
for _ in range(0, N):
    C.append(list(map(int, sys.stdin.readline().strip().split())))

# N = 3
# M = 3
# X = 10
#
# C = [
#     [60,2,2,4],
#     [70,8,7,9],
#     [50,2,3,9],
# ]

C.sort(key=lambda x:x[0])

ans = None
for i in range(1, N+1):
    for j in itertools.combinations(C, i):
        l = [k[1:] for k in j]
        # pprint(l)
        if len(l) > 1:
            ll = np.sum(l, axis=0)
            # print(ll)
            flag = all((m >= X) for m in ll)
        else:
            flag = all((m >= X) for m in l[0])
        if flag:
            n = np.sum(j, axis=0)[0]
            if ans == None or  ans > n:
                ans = n

if ans:
    print(ans)
else:
    print(-1)
Buggy python submission (verdict: Runtime Error):
K = int(input())
A,B = map(int, sys.stdin.readline().strip().split())

if B < K:
    print('NG')
    sys.exit()

if int(A + K - 1 / K) <= B:
    print('OK')
else:
    print('NG')


Fixed submission:
import sys

K = int(input())
A,B = map(int, sys.stdin.readline().strip().split())

if A % K:
    i = (A // K) + 1
    ans = A <= (i * K) <= B
else:
    ans = A <= B

if ans:
    print('OK')
else:
    print('NG')
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import product
from math import gcd
from functools import reduce

K = int(input())

p = product(range(1, K + 1), repeat=3)
print(sum([reduce(gcd, i) for i in p]))


Fixed submission:
from itertools import product
from math import gcd
from functools import reduce

K = int(input())

p = product(range(1, K + 1), repeat=3)
print(sum([reduce(gcd, i) for i in p]))
Buggy python submission (verdict: Time Limit Exceeded):
import sys

N,K = map(int, sys.stdin.readline().strip().split())

if K == 1:
    print(0)
    sys.exit()
if N == K:
    print(0)
    sys.exit()

d = []

d.append(N)
while True:
    d.append(abs(d[-1] - K))
    if d[-1] > d[-2]:
        print(d[-2])
        sys.exit()


Fixed submission:
import sys

N,K = map(int, sys.stdin.readline().strip().split())

if K == 1:
    print(0)
    sys.exit()
if N == K:
    print(0)
    sys.exit()

d = []

d.append(N % K)
while True:
    d.append(abs(d[-1] - K))
    if d[-1] > d[-2]:
        print(d[-2])
        sys.exit()
Buggy python submission (verdict: Time Limit Exceeded):
import sys
import itertools
N = int(input())
A = list(map(int, sys.stdin.readline().strip().split()))
AK = []
for k in range(0, len(A)):
    AK.append(sorted([a for i,a in enumerate(A) if k != i]))
count = {}
for i,ak in enumerate(AK):
    n = AK.index(ak)
    if n != i:
        print(count[n])
        continue
    count[i] = 0
    for j in itertools.combinations(ak, 2):
        if j[0] == j[1]:
            count[i] += 1
    print(count[i])


Fixed submission:
import sys
from collections import Counter

def choose(k, r):
    return k*(k-1) // r*(r-1)

N = int(input())
A = list(map(int, sys.stdin.readline().strip().split()))

C = Counter(A)

ANS = sum([choose(v, 2) for v in C.values()])

for k in A:
    v = C[k]
    print(ANS
          - choose(v, 2)
          + choose(v-1, 2)
         )

Buggy python submission (verdict: Time Limit Exceeded):
import sys
import itertools
N = int(input())
A = list(map(int, sys.stdin.readline().strip().split()))
for k in range(0, len(A)):
    B = [a for i,a in enumerate(A) if k != i]
    count = 0
    for i in itertools.combinations(B, 2):
        if i[0] == i[1]:
            count += 1
    print(count)


Fixed submission:
import sys
from collections import Counter

def choose(k, r):
    return k*(k-1) // r*(r-1)

N = int(input())
A = list(map(int, sys.stdin.readline().strip().split()))

C = Counter(A)

ANS = sum([choose(v, 2) for v in C.values()])

for k in A:
    v = C[k]
    print(ANS
          - choose(v, 2)
          + choose(v-1, 2)
         )
Buggy python submission (verdict: Runtime Error):
X = int(input())

l = [0,1,2,3,4,5]
a = X // 100
b = X % 100

if ((b // a) in l) and ((b % a) in l):
    print('1')
else:
    print('0')

Fixed submission:
X = int(input())

l = [1,2,3,4,5]
a = X // 100
b = X % 100

ans = 0
for i in l:
    if b % i == 0:
        if b // i <= a:
            ans = 1
            break

print(ans)

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

a = X // 100
b = X % 100
print(1 if (b // a in [0,1,2,3,4,5]) and (b % a in [0,1,2,3,4,5]) else 0)

Fixed submission:
X = int(input())

l = [1,2,3,4,5]
a = X // 100
b = X % 100

ans = 0
for i in l:
    if b % i == 0:
        if b // i <= a:
            ans = 1
            break

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N,K,Q,*A = map(int, open(0).read().split())
ans = [K] * N

for a in A:
    ans[a-1] += 1
    ans = [x-1 for x in ans]

for x in ans:
    print('Yes' if x > 0 else 'No')

Fixed submission:
N,K,Q,*A = map(int, open(0).read().split())
ans = [K] * N

for a in A:
    ans[a-1] += 1

for x in ans:
    y = x - Q
    print('Yes' if y > 0 else 'No')

Buggy python submission (verdict: Time Limit Exceeded):
N,K,Q,*A = map(int, open(0).read().split())
ans = [K] * N

for a in A:
    ans[a-1] += 1
    ans = [x-1 for x in ans]

for x in ans:
    print('Yes' if x > 0 else 'No')

Fixed submission:
N,K,Q,*A = map(int, open(0).read().split())
ans = [K] * N

for a in A:
    ans[a-1] += 1

for x in ans:
    y = x - Q
    print('Yes' if y > 0 else 'No')
Buggy python submission (verdict: Runtime Error):
import sys

# N: コマ数
# M: 地点数

# N,M,*X = map(int, open(0).read().split())

# コマ数が地点数以上の場合、各地点にコマを配置できる
# よって 0 回の移動で目的を達成できる
if N >= M:
    print(0)
    sys.exit()

X.sort()
ans = []
for i in range(M-1):
    ans.append(abs(X[i+1] - X[i]))

print(X[-1] - X[0] - sum(sorted(ans)[::-1][:N-1]))

Fixed submission:
import sys

# N: コマ数
# M: 地点数

N,M,*X = map(int, open(0).read().split())

# コマ数が地点数以上の場合、各地点にコマを配置できる
# よって 0 回の移動で目的を達成できる
if N >= M:
    print(0)
    sys.exit()

X.sort()
ans = []
for i in range(M-1):
    ans.append(abs(X[i+1] - X[i]))

ans.sort(reverse=True)
print(X[-1] - X[0] - sum(ans[:N-1]))

Buggy python submission (verdict: Runtime Error):
N,M,*X = map(int, open(0).read().split())

X.sort()

ans = []
for i in range(len(X)-1):
    ans.append(abs(X[i+1] - X[i]))

if len(ans) == 0:
    print(0)
    sys.exit()

ans.sort()
print(sum(ans[:-(N-1)]))


Fixed submission:
import sys

# N: コマ数
# M: 地点数

N,M,*X = map(int, open(0).read().split())

# コマ数が地点数以上の場合、各地点にコマを配置できる
# よって 0 回の移動で目的を達成できる
if N >= M:
    print(0)
    sys.exit()

X.sort()
ans = []
for i in range(M-1):
    ans.append(abs(X[i+1] - X[i]))

ans.sort(reverse=True)
print(X[-1] - X[0] - sum(ans[:N-1]))

Buggy python submission (verdict: Runtime Error):
import sys
N,M,*X = map(int, open(0).read().split())

X.sort()

ans = []
for i in range(len(X)-1):
    ans.append(abs(X[i+1] - X[i]))

if len(ans) == 0:
    print(0)
    sys.exit()

ans.sort()
for _ in range(N-1):
    ans.pop()

print(sum(ans))


Fixed submission:
import sys

# N: コマ数
# M: 地点数

N,M,*X = map(int, open(0).read().split())

# コマ数が地点数以上の場合、各地点にコマを配置できる
# よって 0 回の移動で目的を達成できる
if N >= M:
    print(0)
    sys.exit()

X.sort()
ans = []
for i in range(M-1):
    ans.append(abs(X[i+1] - X[i]))

ans.sort(reverse=True)
print(X[-1] - X[0] - sum(ans[:N-1]))
Buggy python submission (verdict: Time Limit Exceeded):
S = input()

ans = 0
pos = 0
while True:
    tmp = S.find('W', pos)
    if tmp == -1:
        break
    ans += S[:tmp].count('B')
    pos = tmp + 1

print(ans)

Fixed submission:
S = input()

b_count = 0
ans = 0

for pos in range(len(S)):
    if S[pos] == 'B':
        b_count += 1
    else:
        ans += b_count

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import re
 
S = input()
ans = 0
while True:
    S, n = re.subn('BW', 'WB', S)
    if n == 0:
        break
    ans += n
 
print(ans)

Fixed submission:
S = input()

b_count = 0
ans = 0

for pos in range(len(S)):
    if S[pos] == 'B':
        b_count += 1
    else:
        ans += b_count

print(ans)

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

S = input()
ans = 0
while True:
    S, n = re.subn('BW', 'WB', S)
    if n == 0:
        break
    ans += n

print(ans)

Fixed submission:
S = input()

b_count = 0
ans = 0

for pos in range(len(S)):
    if S[pos] == 'B':
        b_count += 1
    else:
        ans += b_count

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
*D, = map(int, input().split())
M = int(input())
*T, = map(int, input().split())

B = set(T)

if sum([D.count(b) >= T.count(b) for b in B]) == len(B):
    print('YES')
else:
    print('NO')

Fixed submission:
import collections
import sys

N = int(input())
*D, = map(int, input().split())
M = int(input())
*T, = map(int, input().split())

d = collections.Counter(D)
t = collections.Counter(T)

for k,v in t.items():
    if d[k] >= v:
        pass
    else:
        print('NO')
        sys.exit()
print('YES')
Buggy python submission (verdict: Time Limit Exceeded):
N, *A = map(int, open(0).read().split())

A.sort()

ans = 0
for i in range(N):
    count = 1
    p = 0
    j = i + 1
    while j < N:
        if A[j] != A[i] + p:
            if p == 2:
                break
            p += 1
            continue
        count += 1
        j += 1
    ans = max(ans, count)

print(ans)

Fixed submission:
import sys
import collections

N, *A = map(int, open(0).read().split())

B = collections.Counter(A).most_common()
B.sort(key=lambda x: x[0])

ans = 0
for i in range(len(B)):
    count = B[i][1]
    if i+1 < len(B) and B[i+1][0] == B[i][0]+1:
        count += B[i+1][1]
        if i+2 < len(B) and B[i+2][0] == B[i][0]+2:
            count += B[i+2][1]
    ans = max(ans, count)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N, *A = map(int, open(0).read().split())

A.sort()

ans = 0
for i in range(N):
    count = 1
    for j in range(i+1, N):
        if A[j] <= A[i] + 2:
            count += 1
        else:
            break
    ans = max(ans, count)

print(ans)

Fixed submission:
import sys
import collections

N, *A = map(int, open(0).read().split())

B = collections.Counter(A).most_common()
B.sort(key=lambda x: x[0])

ans = 0
for i in range(len(B)):
    count = B[i][1]
    if i+1 < len(B) and B[i+1][0] == B[i][0]+1:
        count += B[i+1][1]
        if i+2 < len(B) and B[i+2][0] == B[i][0]+2:
            count += B[i+2][1]
    ans = max(ans, count)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N, *A = map(int, open(0).read().split())

A.sort()

ans = 0
for i in range(N):
    count = 1
    for j in range(i+1, N):
        if A[j] <= A[i] + 2:
            count += 1
        else:
            break
    ans = max(ans, count)

print(ans)

Fixed submission:
import sys
import collections

N, *A = map(int, open(0).read().split())

B = collections.Counter(A).most_common()
B.sort(key=lambda x: x[0])

ans = 0
for i in range(len(B)):
    count = B[i][1]
    if i+1 < len(B) and B[i+1][0] == B[i][0]+1:
        count += B[i+1][1]
        if i+2 < len(B) and B[i+2][0] == B[i][0]+2:
            count += B[i+2][1]
    ans = max(ans, count)
print(ans)
Buggy python submission (verdict: Runtime Error):
N,_,*L=map(int,open(0).read().split());for n in range(N):print(L.count(n+1))

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

ans = [0] * N

for _ in range(M):
    a,b = map(int, input().split())
    ans[a-1] += 1
    ans[b-1] += 1

print(*ans, sep='\n')
Buggy python submission (verdict: Runtime Error):
a = input()
l = list(a)
num = len(l)
TorF = True

if num % 2 == 0:
    b = num/2
    for i in range(b):
        if not a(2*i ) == 'h' and a(2*i + 1) == 'i':
            TorF = False
            break
else:
    TorF = False

if TorF == True:
    print('Yes')
else:
    print('No')

Fixed submission:
a = input()
l = list(a)
num = len(l)
TorF = True

if num % 2 == 0:
    b = int(num/2)
    for i in range(b):
        if not (a[2*i] == 'h' and a[2*i + 1] == 'i'):
            TorF = False
            break
else:
    TorF = False

if TorF == True:
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
AV = input().split()
BW = input().split()
T = int(input())

if(int(AV[0]) > int(BW[0])):
  T *= -1

a = int(AV[0]) + int(AV[1]) * T
b = int(BW[0]) + int(BW[1]) * T

if(T >=0 && a >= b):
  print('YES')
elif(T <= 0 && a >= b):
  print('YES')
else:
  print('NO')


Fixed submission:
AV = input().split()
BW = input().split()
T = int(input())

if(int(AV[0]) > int(BW[0])):
  T *= -1

a = int(AV[0]) + int(AV[1]) * T
b = int(BW[0]) + int(BW[1]) * T

if(T >=0 and a >= b):
  print('YES')
elif(T <= 0 and a <= b):
  print('YES')
else:
  print('NO')
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

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

#print(A)

flag = 0
b = 1

for a in A:
  if a == 0:
    flag = 2

if flag == 0:
  for a in A:
    b = b * a

if(b > 10**18):
  flag = 1
  
  
if flag == 1:
  print(-1)
elif flag == 0:
  print(b)
else:
  print(0)


Fixed submission:
n = int(input())

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

#print(A)

flag = 0
b = 1

for a in A:
  if a == 0:
    flag = 2

if flag == 0:
  for a in A:
    b = b * a
    if(b > 10**18):
      flag = 1
      break

#if(b > 10**18):
#  flag = 1
  
  
if flag == 1:
  print(-1)
elif flag == 0:
  print(b)
else:
  print(0)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

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

#print(A)

flag = 0
b = 1
for a in A:
  b = b * a

if(b > 10**18):
  flag = 1
  
  
if flag:
  print(-1)
else:
  print(b)


Fixed submission:
n = int(input())

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

#print(A)

flag = 0
b = 1

for a in A:
  if a == 0:
    flag = 2

if flag == 0:
  for a in A:
    b = b * a
    if(b > 10**18):
      flag = 1
      break

#if(b > 10**18):
#  flag = 1
  
  
if flag == 1:
  print(-1)
elif flag == 0:
  print(b)
else:
  print(0)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

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

#print(A)

flag = 0
b = 1
for a in A:
  b = b * a

if(b > 10**18):
  flag = 1
  
  
if flag:
  print(-1)
else:
  print(b)


Fixed submission:
n = int(input())

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

#print(A)

flag = 0
b = 1

for a in A:
  if a == 0:
    flag = 2

if flag == 0:
  for a in A:
    b = b * a
    if(b > 10**18):
      flag = 1
      break

#if(b > 10**18):
#  flag = 1
  
  
if flag == 1:
  print(-1)
elif flag == 0:
  print(b)
else:
  print(0)
Buggy python submission (verdict: Time Limit Exceeded):
a, b, c, k = map(int,input().split())

count = 0

while(k > 0):
  if a > 0:
    count += 1
    a -= 1
    k -= 1
  elif b > 0 :
    b -= 1
    k -= 1
  elif c > 0:
    count -= 1
    c -= 1
    k -= 1
  else:
    k -= 0
    
print(count)

Fixed submission:
a, b, c, k = map(int,input().split())

count = 0


if a > 0 and a <= k and k > 0:
  count = count + a
  k = k - a
elif a > 0 and a > k and k > 0:
  count = k
  k = 0

if b > 0 and b <= k and k > 0:
  k = k - b
elif b > 0 and b > k and k > 0:
  k = 0
  
if c > 0 and c <= k and k > 0:
  count = count - c
  k = k - c
elif c > 0 and c > k and k > 0:
  count = count - k
  k = 0
    
print(count)
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
mod = 998244353
S = []
for i in range(K):
    l, r = map(int, input().split())
    for j in range(l, r+1):
        S.append(j)

S = sorted(S)
dp = [0] * (N+1)
dp[1] = 1
for i in range(1, N):
    for j in S:
        if i + j > N:
            break
        dp[i+j] = (dp[i+j] + dp[i]) % mod

print(dp[N])

Fixed submission:
N, K = map(int, input().split())
mod = 998244353
lr = [0] * K
for i in range(K):
    lr[i] = list(map(int, input().split()))
    lr[i][1] += 1

dp = [0] * (N+1)
dp[1] = 1
s = 0
for i in range(1, N):
    s += dp[i]
    for j in range(K):
        if (i + lr[j][0]) <= N:
            dp[i + lr[j][0]] = (dp[i + lr[j][0]] + s) % mod
        if (i + lr[j][1]) <= N:
            dp[i + lr[j][1]] = (dp[i + lr[j][1]] - s) % mod
        

print(dp[N])
Buggy python submission (verdict: Time Limit Exceeded):
N, Q = map(int, input().split())
q = [0] * Q
for i in range(Q):
    q[i] = list(map(int, input().split()))

ans = (N - 2) ** 2

b1 = [N-2] * (N-2)
b2 = [N-2] * (N-2)

for i in range(Q):
    x = q[i][1] - 2
    if q[i][0] == 1:
        ans -= b1[x]
        for j in range(b1[x]):
            b2[j] = min(b2[j], x)
        b1[x] = 0
    else:
        ans -= b2[x]
        for j in range(b2[x]):
            b1[j] = min(b1[j], x)
        b2[x] = 0

print(ans)

Fixed submission:
N, Q = map(int, input().split())
q = [0] * Q
for i in range(Q):
    q[i] = list(map(int, input().split()))

ans = (N - 2) ** 2

b1 = [0] * (N-2)
b2 = [0] * (N-2)
l = N-2
u = N-2

for i in range(Q):
    x = q[i][1] - 2
    if q[i][0] == 1:
        if x < l:
            ans -= u
            for j in range(x+1, l):
                b2[j] = u
            l = x
        else:
            ans -= b2[x]
        #b1[x] = 0
    else:
        if x < u:
            ans -= l
            for j in range(x+1, u):
                b1[j] = l
            u = x
        else:
            ans -= b1[x]
        #b1[x] = 0

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))
f = 0
m = 10**6 + 10
t = [0] * (10**6 + 10)

def bunkai(n):
    global f
    if n % 2 == 0 and t[2] == 0:
        t[2] = 1
    elif n % 2 == 0 and t[2] == 1:
        f = 1
        return
    while n % 2 == 0:
        n //= 2
    l = 3
    while l * l < n:
        if n % l == 0:
            if t[l] == 1:
                f = 1
                return
            while n % l == 0:
                n //= l
        l += 2
    if n != 1:
        if t[n] == 1:
            f = 1
        else:
            t[n] = 1

for i in range(N):
    bunkai(A[i])
    if f == 1:
        break

from math import gcd
g = A[0]
if f == 1:
    for i in range(1, N):
        g = gcd(g, A[i])
        if g == 1:
            break

if f == 0:
    print("pairwise coprime")
elif g == 1 and f == 1:
    print("setwise coprime")
else:
    print("not coprime")

Fixed submission:
N = int(input())
A = list(map(int, input().split()))
f = 0
m = 10**6 + 10
t = [0] * (10**6 + 10)

def bunkai(n):
    global f
    if n % 2 == 0 and t[2] == 0:
        t[2] = 1
    elif n % 2 == 0 and t[2] == 1:
        f = 1
        return
    while n % 2 == 0:
        n //= 2
    l = 3
    while l * l < n:
        if n % l == 0:
            if t[l] == 1:
                f = 1
                return
            while n % l == 0:
                n //= l
        l += 2
    if n != 1:
        if t[n] == 1:
            f = 1
        else:
            t[n] = 1

for i in range(N):
    bunkai(A[i])
    if f == 1:
        break

from math import gcd
g = A[0]
if f == 1:
    for i in range(1, N):
        g = gcd(g, A[i])
        if g == 1:
            break

if f == 0:
    print("pairwise coprime")
elif g == 1 and f == 1:
    print("setwise coprime")
else:
    print("not coprime")
Buggy python submission (verdict: Runtime Error):
N = int(input())
N = N - 1
#N = 100
a = []
s = ""

while N != 0:
    a.insert(0, N % 26)
    N = N //26

#print(a)

for i in range(0, len(a)-1):
    a[i] = chr(96+a[i])
    s += a[i]

s += chr(97+a[len(a)-1])

print(s)


Fixed submission:
N = int(input())

s = ""
for i in range(12):
    if 26*(26**i-1)/25 < N and N <= 26*(26**(i+1)-1)/25:
        t = i#桁数-1
        break

#print(t + 1)
N = int(N - 26*(26**t-1)/25 - 1)

a = [0] * (t + 1)

for i in range(t + 1):
    a[t - i] = N%26
    N = N //26

#print(a)

for i in range(0, len(a)):
    a[i] = chr(97+int(a[i]))
    s += a[i]

#s += chr(97+a[len(a)-1])

print(s)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))
Q = int(input())

B = [0] * Q
C = [0] * Q
for i in range(Q):
    B[i], C[i] = map(int, input().split())

for i in range(Q):
    for j in range(N):
        if A[j] == B[i]:
            A[j] = C[i]
    print(sum(A))

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

t = [0] * 110000

for i in range(N):
    a = A[i]
    t[a] += 1

a = sum(A)

B = [0] * Q
C = [0] * Q
for i in range(Q):
    B[i], C[i] = map(int, input().split())

for i in range(Q):
    a = a + (C[i] - B[i]) * t[B[i]]
    t[C[i]] = t[C[i]] + t[B[i]]
    t[B[i]] = 0
    print(a)
Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
S = input()

s = len(S)
mod = int(1e9+7)

fact = [1, 1]
factinv = [1, 1]
inv = [0, 1]
 
for i in range(2, K + s + 1):
    fact.append((fact[-1] * i) % mod)
    inv.append((-inv[mod % i] * (mod // i)) % mod)
    factinv.append((factinv[-1] * inv[-1]) % mod)

n = 0

for i in range(s, K + s + 1):
    n += (pow(26,(K+s-i),mod)*pow(25,(i-s),mod)*(fact[i-1]*factinv[s-1]*factinv[i-s]))%mod


print(n%mod)

Fixed submission:
K = int(input())
S = input()

s = len(S)
mod = int(1e9+7)


n = pow(26, K, mod)
ans = n

for i in range(K):
    n = n*25*(s+i)*pow(26*(i+1),-1,mod)%mod
    ans = (ans +n) % mod


print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))

ans = A[0]
for i in range(1, N):
    ans = ans * A[i]

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

Fixed submission:
N = int(input())
A = list(map(int, input().split()))
f = 0

if 0 in A:
    print("0")
    f = 1
else:

    ans = A[0]
    for i in range(1, N):
        ans = ans * A[i]
        if ans > 10**18:
            print("-1")
            f = 1
            break

if f == 0:
    print(ans)