Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
n = int ( input() )

def find_gcd(x, y): 
      
    while(y): 
        x, y = y, x % y 
      
    return x 

dicts = {}
total = 0 
for i in range(1, n + 1):
    for j in range(1, n + 1):
        for k in range(1, n + 1):
            strin = str(i) + "," + str(j)
            if strin not in dicts:
                gh = find_gcd(i, j)
                strin3 = str(j) + "," + str(i)
                dicts[strin] = gh 
                dicts[strin3] = gh 
                
            else:
                gh = dicts[strin]
            
            strin2 = str(gh) + "," + str(k)
            
            if strin2 not in dicts:
                gh = find_gcd(gh, k)
                strin4 = str(k) + "," + str(gh)
                dicts[strin2] = gh 
                dicts[strin4] = gh 
            else:
                gh = dicts[strin2]
            
            
            total += gh 
print(total)
                        


Fixed submission:
n = int ( input() )

def find_gcd(x, y): 
      
    while(y): 
        x, y = y, x % y 
      
    return x 

dicts = {}
total = 0 
storedict = {}
for i in range(1, n + 1):
    for j in range(1, n + 1):
        
        strin = str(i) + "," + str(j)
        if strin not in dicts:
            gh = find_gcd(i, j)
            strin3 = str(j) + "," + str(i)
            dicts[strin] = gh 
            dicts[strin3] = gh 
            
        else:
            gh = dicts[strin]
        
        if gh not in storedict:
            storedict[gh] = 1 
        else:
            storedict[gh] += 1 

for k in range( 1 , n + 1):
    for key, value in storedict.items():
        gh = find_gcd(key, k)
        
        strin2 = str(gh) + "," + str(k)
        
        if strin2 not in dicts:
            gh = find_gcd(gh, k)
            strin4 = str(k) + "," + str(gh)
            dicts[strin2] = gh 
            dicts[strin4] = gh 
        else:
            gh = dicts[strin2]
            
        ans1 = gh * value    
        total += ans1 
print(total)
Buggy python submission (verdict: Runtime Error):
strs = str(input())
arr1 = strs.split()
stone = int(arr1[0])
times = int(arr1[1])
arr1 = str(input())
arr1 = arr1.split()
arr = []
for i in arr1:
    arr.append(int(i))
cost = [9999999] * stone
cost[0] = 0
for i in range(stone):
    if i == (stone - 1):
        break
    if i == 0:
        for j in range(i+1 ,times + 1):
            if j >= stone:
                break
            kkt = arr[0] - arr[j]
            cost[j] = min(cost[j], abs(kkt))
    else:
        for j in range(i+1 ,i +1+ times):
            if j >= stone:
                break
            kkt = arr[i] - arr[j]
            tj = ( abs(kkt) + cost[i])
            #print(tj)
            cost[j] = min(cost[j], tj )
    #print(cost)
if cost[-1] == 9999999:
    print(0)
else:
    print(cost[-1])
        
        
        
        
        
        
        



Fixed submission:
n = int(input())
arr1 = str( input() )
arr1 = arr1.split()
arr = []

for i in arr1:
    arr.append(int(i))

leng = len(arr)
dp = [99999999999] * leng 
dp[0] = 0 

for i in range(leng):
    if (i + 1) >= leng:
        continue 
    dp[i + 1] = min ( dp[i] + abs(arr[i] - arr[i + 1]), dp[i + 1] )
    
    if (i + 2) >= leng:
        continue 
    dp[i + 2] = min(  ( dp[i] + abs( arr[i] - arr[i + 2] ) , dp[i + 2]) )

print(dp[-1])

Buggy python submission (verdict: Runtime Error):
strs = str(input())
arr1 = strs.split()
stone = int(arr1[0])
times = int(arr1[1])
arr1 = str(input())
arr1 = arr1.split()
arr = []
for i in arr1:
    arr.append(int(i))
cost = [9999999] * stone
cost[0] = 0
for i in range(stone):
    if i == (stone - 1):
        break
    if i == 0:
        for j in range(i+1 ,times + 1):
            if j >= stone:
                break
            kkt = arr[0] - arr[j]
            cost[j] = min(cost[j], abs(kkt))
    else:
        for j in range(i+1 ,i +1+ times):
            if j >= stone:
                break
            kkt = arr[i] - arr[j]
            tj = ( abs(kkt) + cost[i])
            #print(tj)
            cost[j] = min(cost[j], tj )
    #print(cost)
if cost[-1] == 9999999:
    print(0)
else:
    print(cost[-1])
        
        
        
        
        
        
        



Fixed submission:
n = int(input())
arr1 = str( input() )
arr1 = arr1.split()
arr = []

for i in arr1:
    arr.append(int(i))

leng = len(arr)
dp = [99999999999] * leng 
dp[0] = 0 

for i in range(leng):
    if (i + 1) >= leng:
        continue 
    dp[i + 1] = min ( dp[i] + abs(arr[i] - arr[i + 1]), dp[i + 1] )
    
    if (i + 2) >= leng:
        continue 
    dp[i + 2] = min(  ( dp[i] + abs( arr[i] - arr[i + 2] ) , dp[i + 2]) )

print(dp[-1])
Buggy python submission (verdict: Runtime Error):
firstline = str(input())
firstline = firstline.split()
item = int( firstline[0] )
totalweight = int ( firstline[1] )
gh = [0] * (totalweight + 1)
dp = [gh[::] for _ in range(item) ]
total = []

def sort_tuple(tup):  
  
    tup.sort(key = lambda x: x[0])  
    return tup  

for i in range(item):    
    getIn = str(input())
    getIn = getIn.split()
    total.append( ( int( int(getIn[0]) ), int( getIn[1]) ) )
    
sort_tuple(total)
#print(total)

firstStone = total[0]
for i in range(firstStone[0], totalweight+1 ):
    dp[0][i] = firstStone[1]

for i in range(1, item):
    currentStone = total[i]
    currentStoneWeight = currentStone[0]
    currentStoneValue = currentStone[1]
    for j in range(0, totalweight + 1):
        dp[i][j] = max( dp[i - 1][j], dp[i][j]   )
        if j >= currentStoneWeight:
            dp[i][j] = max( dp[i][j], currentStoneValue + dp[i - 1][j - currentStoneWeight] )
#print(dp)
print(dp[-1][-1])
    
    
    
    
    
    
    

Fixed submission:
'''

                            Online Python Compiler.
                Code, Compile, Run and Debug python program online.
Write your code in this editor and press "Run" button to execute it.

'''

firstline = str(input())
firstline = firstline.split()
n = int( firstline[0] )
total = int( firstline[1] )

maxvalue = int( pow(10, 5) + 1)
#maxvalue = 100
colums = [10000000001000000000 for _ in range(maxvalue)]
dp = [ colums[::] for _ in range(n+1) ]

for i in range(n+1):
    dp[i][0] = 0

stone = []

for i in range(n):
    getInput = str(input())
    getInput = getInput.split()
    stone.append(( int(getInput[1]) , int(getInput[0]) ) )

stone = sorted(stone)

index = 0
for currentstone in stone:
    currentvalue = currentstone[0]
    currentweight = currentstone[1]
    index += 1 
    for V in range(1, maxvalue):
        if currentvalue <= V:
            dp[index][V] = min(currentweight + dp[index-1][V - currentvalue], dp[index - 1][V])
        else:
            dp[index][V] = dp[index-1][V]

bestvalue = 0
for i in range(1, maxvalue ):
    if dp[n][i] <= total and dp[n][i] !=9999999 :
        bestvalue = i
#print(stone)
#
print(bestvalue)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))
cnt = 1

for i in range(N):
    cnt *= A[i]
    if(cnt > 1e18):
	print(-1)
	sys.exit()

if(cnt <= 1e18):
    print(cnt)
else:
    print(-1)




Fixed submission:
import sys

N = int(input())
A = list(map(int,input().split()))
cnt = 1

for i in range(N):
    if(A[i] == 0):
        print(0)
        sys.exit()

for i in range(N):
    cnt *= A[i]
    if(cnt > 1e18):
        print(-1)
        sys.exit()

if(cnt <= 1e18):
    print(cnt)
else:
    print(-1)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))
cnt = 1

for i in range(N):
    cnt *= A[i]

if(cnt <= 1e18):
    print(cnt)
else:
    print(-1)


Fixed submission:
import sys

N = int(input())
A = list(map(int,input().split()))
cnt = 1

for i in range(N):
    if(A[i] == 0):
        print(0)
        sys.exit()

for i in range(N):
    cnt *= A[i]
    if(cnt > 1e18):
        print(-1)
        sys.exit()

if(cnt <= 1e18):
    print(cnt)
else:
    print(-1)
Buggy python submission (verdict: Runtime Error):
N,X,M = map(int,input().split())
A = [100001]*(2*(10**5)+100)
A[1] = X
S = {X}
ans = X
for i in range(2,min(2*M+1,N)+1):
  X = X**2
  X %= M
  ans += X
  A[i] = X
  if X in S:
    break
  S.add(X)
  #print(i)
#[print(A[i]) for i in range(6)]
  
if i == N:
  print(ans)
else:
  j = A[:i+1].index(A[i])
  if i == j:
    print(ans)
  k = (N-i)//(i-j)
  l = (N-i)%(i-j)
  #print(j,k,l)
  ans += k*sum(A[j+1:i+1])+sum(A[j+1:j+l+1])
  print(ans)




Fixed submission:
N,X,M = map(int,input().split())
A = [100001]*(2*(10**5)+100)
A[1] = X
S = {X}
ans = X
for i in range(2,min(2*M+1,N)+1):
  X = X**2
  X %= M
  ans += X
  A[i] = X
  if X in S:
    break
  S.add(X)
  #print(i)
#[print(A[i]) for i in range(6)]
if N == 1:
  print(X)
  exit()
elif i == N:
  print(ans)
else:
  j = A[:i+1].index(A[i])
  if i == j:
    print(ans)
  k = (N-i)//(i-j)
  l = (N-i)%(i-j)
  #print(j,k,l)
  ans += k*sum(A[j+1:i+1])+sum(A[j+1:j+l+1])
  print(ans)

Buggy python submission (verdict: Runtime Error):
N,X,M = map(int,input().split())
A = [100001]*(10**5+1)
A[1] = X
S = {X}
ans = X
for i in range(2,min(2*M+1,N)+1):
  X = X**2
  X %= M
  ans += X
  A[i] = X
  if X in S:
    break
  S.add(X)
  #print(i)
#[print(A[i]) for i in range(6)]
  
if i == N:
  print(ans)
else:
  j = A[:i+1].index(A[i])
  if i == j:
    print(ans)
  k = (N-i)//(i-j)
  l = (N-i)%(i-j)
  #print(j,k,l)
  ans += k*sum(A[j+1:i+1])+sum(A[j+1:j+l+1])
  print(ans)




Fixed submission:
N,X,M = map(int,input().split())
A = [100001]*(2*(10**5)+100)
A[1] = X
S = {X}
ans = X
for i in range(2,min(2*M+1,N)+1):
  X = X**2
  X %= M
  ans += X
  A[i] = X
  if X in S:
    break
  S.add(X)
  #print(i)
#[print(A[i]) for i in range(6)]
if N == 1:
  print(X)
  exit()
elif i == N:
  print(ans)
else:
  j = A[:i+1].index(A[i])
  if i == j:
    print(ans)
  k = (N-i)//(i-j)
  l = (N-i)%(i-j)
  #print(j,k,l)
  ans += k*sum(A[j+1:i+1])+sum(A[j+1:j+l+1])
  print(ans)

Buggy python submission (verdict: Runtime Error):
N,X,M = map(int,input().split())
A = [100001]*(10**5+1)
A[1] = X
S = {X}
ans = X
for i in range(2,min(M+1,N)+1):
  X = X**2
  X %= M
  ans += X
  A[i] = X
  if X in S:
    break
  S.add(X)
  #print(i)
#[print(A[i]) for i in range(6)]
  
if i == N:
  print(ans)
else:
  j = A[:i+1].index(A[i])
  k = (N-i)//(i-j)
  l = (N-i)%(i-j)
  #print(j,k,l)
  ans += k*sum(A[j+1:i+1])+sum(A[j+1:j+l+1])
  print(ans)

Fixed submission:
N,X,M = map(int,input().split())
A = [100001]*(2*(10**5)+100)
A[1] = X
S = {X}
ans = X
for i in range(2,min(2*M+1,N)+1):
  X = X**2
  X %= M
  ans += X
  A[i] = X
  if X in S:
    break
  S.add(X)
  #print(i)
#[print(A[i]) for i in range(6)]
if N == 1:
  print(X)
  exit()
elif i == N:
  print(ans)
else:
  j = A[:i+1].index(A[i])
  if i == j:
    print(ans)
  k = (N-i)//(i-j)
  l = (N-i)%(i-j)
  #print(j,k,l)
  ans += k*sum(A[j+1:i+1])+sum(A[j+1:j+l+1])
  print(ans)
Buggy python submission (verdict: Runtime Error):
X,K,D = map(int,input().split())
if X > 0:
  if X-D*K > 0:
    print(X-D*K)
  elif (X//D - K) %2==0:
    print(min(abs(X-(X//D)*D),abs(X-((X//D)+2)*D)))
  else:
    print(min(abs(X-(X//D-1)*D),abs(X-(X//D+1)*D)))
elif X == 0:
  if K%2 == 0:
    print(0)
  else:
    pritn(D)
else:
  if X-D*K < 0:
    print(abs(X-D*K))
  elif (X// - K) %2==0:
    print(min(abs(X-(X//D)*D),abs(X-((X//D)+2)*D)))
  else:
    print(min(abs(X-(X//D-1)*D),abs(X-(X//D+1)*D)))

Fixed submission:
X,K,D = map(int,input().split())
if X > 0:
  if X-D*K > 0:
    print(X-D*K)
  elif (X//D - K) %2==0:
    print(min(abs(X-(X//D)*D),abs(X-((X//D)+2)*D)))
  else:
    print(min(abs(X-((X//D)-1)*D),abs(X-((X//D)+1)*D)))
elif X == 0:
    if K%2 == 0:
        print(0)
    else:
        print(D)
else:
    if X+D*K < 0:
        print(abs(X+D*K))
    elif ((-X)//D - K) %2==0:
        print(min(abs(X+((-X)//D)*D),abs(X+(((-X)//D)+2)*D)))
    else:
        print(min(abs(X+(((-X)//D)-1)*D),abs(X+(((-X)//D)+1)*D)))
Buggy python submission (verdict: Runtime Error):
N = int(input())
a = list(input())
b = []
for i in range(N):
  if a[i] == 'R':
    b.append(i)
M = len(b)-1
m = b[M]
ans = 0
for i in range(N):
  if i >= b[M]:
    break
  if i not in b:
    #print(i)
    M -= 1
    ans += 1
print(ans)

Fixed submission:
N = int(input())
a = list(input())
x = a.count('R')
b = a[:x]
print(b.count('W'))
Buggy python submission (verdict: Runtime Error):
def solution(x):
  p = sum([a[i]//x for i in range(N)])
  return p
def solvance(y,z):
  if z-y <= 1:
    if solution(y) == K:
      return y
    else:
      return z
  else:
    w = (y+z)//2
    #print(y,w,z)
    if solution(w) > K:
      return solvance(w,z)
    else:
      return solvance(y,w)

N,K = map(int,input().split())
a = list(map(int,input().split()))
if K == 0:
  print(max(a))
else:
  ansM = sum(a)//K
  ansm = sum(a)//(K+N)
  ans = solvance(ansm,ansM)
  print(ans)

Fixed submission:
import math
def solution(x):
  p = sum([math.ceil(a[i]/x)-1 for i in range(N)])
  return p
def solvance(y,z):
  if z-y <= 1:
    return z
  else:
    w = (y+z)//2
    #print(y,w,z)
    if solution(w) > K:
      return solvance(w,z)
    else:
      return solvance(y,w)

N,K = map(int,input().split())
a = list(map(int,input().split()))
if K == 0:
  print(max(a))
else:
  ansM = (sum(a)//K)+1
  ansm = sum(a)//(K+N)
  ans = solvance(ansm,ansM)
  print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N,M = map(int, input().split())
H = list(map(int, input().split()))
a = np.array([list(map(int, input().split())) for i in range(M)])
c = 0
for i in range(1,N+1):
  d = 0
  b = [j for j, x in enumerate(a[:, 0]) if x== i]
  B = [j for j, x in enumerate(a[:, 1]) if x== i]
  for j in b:
    if d == 0 and H[a[j][1]-1] >= H[i-1]:
      d = 1
  for j in B:
    if d == 0 and H[a[j][0]-1] >= H[i-1]:
      d = 1
  if d == 0:
    c += 1
print(c)

Fixed submission:
N,M = map(int, input().split())
H = list(map(int, input().split()))
dp = [1]*N
for i in range(M):
  A,B = map(int, input().split())
  if H[A-1] <= H[B-1]:
    dp[A-1] = 0
  if H[B-1] <= H[A-1]:
    dp[B-1] = 0
print(dp.count(1))
Buggy python submission (verdict: Runtime Error):
import itertools
N, M, Q = map(int, input().split())
a = [list(map(int, input().split())) for l in range(Q)]
b = [1]*N
c = 0
for i in range(Q):
  if b[a[i][2]-1]-b[a[i][1]-1] == a[i][3]:
    c += a[i][4]
C = c
for k in range(1,M):
  nums = [i for i in range(N-1)]
  for balls in itertools.combinations_with_replacement(nums, k):
    b = [1]*N
    c = 0
    for i in range(1,N):
      b[i] = b[i-1] + balls.count(i-1)
    for i in range(Q):
      if b[a[i][1]-1]-b[a[i][0]-1] == a[i][2]:
        c += a[i][3]
    C = max(C,c)
print(C)

Fixed submission:
import itertools
N, M, Q = map(int, input().split())
a = [list(map(int, input().split())) for l in range(Q)]
b = [1]*N
c = 0
for i in range(Q):
  if b[a[i][1]-1]-b[a[i][0]-1] == a[i][2]:
    c += a[i][3]
C = c
for k in range(1,M):
  nums = [i for i in range(N-1)]
  for balls in itertools.combinations_with_replacement(nums, k):
    b = [1]*N
    c = 0
    for i in range(1,N):
      b[i] = b[i-1] + balls.count(i-1)
    for i in range(Q):
      if b[a[i][1]-1]-b[a[i][0]-1] == a[i][2]:
        c += a[i][3]
    C = max(C,c)
print(C)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))
for i in range(n):
    print(a.count(i+1))


Fixed submission:
n = int(input())
a = [0]*(n)
for e in input().split():
    a[int(e)-1] += 1
[print(i) for i in a]
Buggy python submission (verdict: Time Limit Exceeded):
import math
K = int(input())
p = 0
for a in range(K):
  for b in range(K):
    for c in range(K):
      p += math.gcd(math.gcd(a+1, b+1),c+1)
print(p)


Fixed submission:
import math
K = int(input())
p = int(K*(K+1)/2)
for a in range(K):
    for b in range(a+1, K):
        g = math.gcd(a+1, b+1)
        p += 6*g
        for c in range(b+1, K):
                p += 6*math.gcd(g, c+1)
print(p)
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int,input().split())
h = tuple(map(int, input().split()))
dp = [0]+[float('inf')]*(n-1)
for i in range(1,n):
    for j in range(max(0, i-k), i):
        dp[i] = min(dp[i], dp[j]+abs(h[j]-h[i]))
print(dp[-1])


Fixed submission:
n, k = map(int,input().split())
h = tuple(map(int, input().split()))
dp = [0]+[float('inf')]*(n-1)
for i in range(1,n):
    for j in range(max(0, i-k), i):
        dp[i] = min(dp[i], dp[j]+abs(h[j]-h[i]))
print(dp[-1])
Buggy python submission (verdict: Time Limit Exceeded):
N, X, M = map(int, input().split())
ans = X
ALL = []
rou = False
for i in range(N-1):
    X = pow(X, 2, M)
    if X in ALL:
        num = ALL.index(X)
        now = i
        rou = True
        break
    ALL.append(X)
    ans += X
if rou :
    roupe = now - num 
    nokori = N - now -2
    print(sum(ALL[num:])*(nokori//roupe) + ans + sum(ALL[num:num + nokori%roupe + 1]))
else:
    print(ans)

Fixed submission:
N, X, M = map(int, input().split())
ans = X
ALL_cal = [False] * M
ALL = []
rou = False
for i in range(N-1):
    X = pow(X, 2, M)
    if ALL_cal[X]:
        num = ALL_cal[X]
        now = i
        rou = True
        break
    ALL.append(X)
    ALL_cal[X] = i
    ans += X
if rou :
    roupe = now - num 
    nokori = N - now - 1
    print(sum(ALL[num:])*(nokori//roupe) + ans + sum(ALL[num:num + nokori%roupe]))
else:
    print(ans)
Buggy python submission (verdict: Runtime Error):
length = 1
limit = 10 ** 18
for i in range(N):
    length = length *  A[i]
    if length > limit:
        print('-1')
        break
    if i == N-1:
        print(length)


Fixed submission:
def main():
    N = int(input())
    A = list(map(int, input().split()))
    length = 1
    limit = 10 ** 18
    if 0 in A:
        print(0)
        return
    for i in range(N):
        length = length *  A[i]
        if length > limit:
            print('-1')
            return
    print(length)
    return
if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
N = int(input())
P = tuple(map(int, input().split()))
Q = tuple(map(int, input().split()))
cnt, a, b = 0, 0, 0
for i in itertools.permutations(range(1, N+1)):
    if P == i:
        a = cnt
        if b != 0:
            break
    if Q == i:
        b = cnt
        if a != 0:
            break
    cnt += 1
print(abs(a-b))

Fixed submission:
import itertools
N = int(input())
P = tuple(map(int, input().split()))
Q = tuple(map(int, input().split()))
cnt, a, b = 0, 0, 0
for i in itertools.permutations(range(1, N+1)):
    if P == i:
        a = cnt
        if b != 0:
            break
    if Q == i:
        b = cnt
        if a != 0:
            break
    cnt += 1
print(abs(a-b))
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = [tuple(map(int, input().split())) for _ in range(N)]
ans = []
import numpy as np
for zyun in itertools.permutations(range(N)):
    cnt = 0
    for k in range(len(zyun)-1):
        cnt += np.sqrt((A[zyun[k+1]][0]-A[zyun[k]][0])**2+(A[zyun[k+1]][1]-A[zyun[k]][1])**2 )
    ans.append(cnt)
print(sum(ans) / len(ans))

Fixed submission:
N = int(input())
A = [tuple(map(int, input().split())) for _ in range(N)]
ans = []
import numpy as np
import itertools
for zyun in itertools.permutations(range(N)):
    cnt = 0
    for k in range(len(zyun)-1):
        cnt += np.sqrt((A[zyun[k+1]][0]-A[zyun[k]][0])**2+(A[zyun[k+1]][1]-A[zyun[k]][1])**2 )
    ans.append(cnt)
print(sum(ans) / len(ans))
Buggy python submission (verdict: Runtime Error):
X, Y = map(int, input().split())

if (x+y)%3 != 0 or x*2 < y or y*2 < x:
    print(0)
    exit()

n = (2*X - Y) // 3
m = (2*Y - X) // 3

P = 10 ** 9 + 7
N = 10 ** 6
fact = [1, 1]
factinv = [1, 1]
inv = [0, 1]
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)
print(fact[n+m]*factinv[n]*factinv[m]%P)


Fixed submission:
X, Y = map(int, input().split())

if (X+Y)%3 != 0 or X*2 < Y or Y*2 < X:
    print(0)
    exit()

n = (2*X - Y) // 3
m = (2*Y - X) // 3

P = 10 ** 9 + 7
N = 10 ** 6
fact = [1, 1]
factinv = [1, 1]
inv = [0, 1]
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)
print(fact[n+m]*factinv[n]*factinv[m]%P)
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())
A = []
for _ in range(M):
    A.append(tuple(map(int, input().split())))
P = tuple(map(int, input().split()))
import itertools
def hantei(A, RETU, P):
    for i in range(len(A)):
        count = 0
        for k in RETU:
            if k in A[i][1:]:
                count += 1
        if not count % 2 == P[i]:
            return False
    return True
ans = 0
for i in range(1, N + 1):
    for k in itertools.combinations(range(1, N + 1), i):
        if hantei(A, k, P):
            ans += 1
if hantei(A, 0, P):
    ans += 1
print(ans)

Fixed submission:
N, M = map(int, input().split())
A = []
for _ in range(M):
    A.append(tuple(map(int, input().split())))
P = tuple(map(int, input().split()))
import itertools
def hantei(A, RETU, P):
    for i in range(len(A)):
        count = 0
        for k in RETU:
            if k in A[i][1:]:
                count += 1
        if not count % 2 == P[i]:
            return False
    return True
ans = 0
for i in range(1, N + 1):
    for k in itertools.combinations(range(1, N + 1), i):
        if hantei(A, k, P):
            ans += 1
if hantei(A, [0], P):
    ans += 1
print(ans)
Buggy python submission (verdict: Runtime Error):
ALL = []
cnt = 0
import math
def decide_sosuu(n):
    if n <= 1:
        return False
    else:
        for i in range(2, int(math.sqrt(n)) + 1):
            if n % i == 0:
                return False
    return True
for i in range(1,int((10**5)/2)):
    if decide_sosuu(i):
        if decide_sosuu((i*2)-1):
            cnt += 1
            ALL.append(cnt)
        else:
            ALL.append(cnt)
    else:
        ALL.append(cnt)
Q = int(input())
for _ in range(Q):
    l, r = map(int, input().split())
    if l == 1:
        print(ALL[int(r/2)])
    else:
        print(ALL[int(r/2)] -ALL[int(l/2)-1])

Fixed submission:
ALL = []
cnt = 0
import math
def decide_sosuu(n):
    if n <= 1:
        return False
    else:
        for i in range(2, int(math.sqrt(n)) + 1):
            if n % i == 0:
                return False
    return True
for i in range(1,int((10**5)/2+2)):
    if decide_sosuu(i):
        if decide_sosuu((i*2)-1):
            cnt += 1
            ALL.append(cnt)
        else:
            ALL.append(cnt)
    else:
        ALL.append(cnt)
Q = int(input())
for _ in range(Q):
    l, r = map(int, input().split())
    if l == 1:
        print(ALL[int(r/2)])
    else:
        print(ALL[int(r/2)] -ALL[int(l/2)-1])

Buggy python submission (verdict: Runtime Error):
ALL = []
cnt = 0
import math
def decide_sosuu(n):
    if n <= 1:
        return False
    else:
        for i in range(2, int(math.sqrt(n)) + 1):
            if n % i == 0:
                return False
    return True
for i in range(1,int((10**5)/2)):
    if decide_sosuu(i):
        if decide_sosuu((i*2)-1):
            cnt += 1
            ALL.append(cnt)
        else:
            ALL.append(cnt)
    else:
        ALL.append(cnt)
Q = int(input())
for _ in range(Q):
    l, r = map(int, input().split())
    print(ALL[int(r/2)] -ALL[int(l/2)-1])

Fixed submission:
ALL = []
cnt = 0
import math
def decide_sosuu(n):
    if n <= 1:
        return False
    else:
        for i in range(2, int(math.sqrt(n)) + 1):
            if n % i == 0:
                return False
    return True
for i in range(1,int((10**5)/2+2)):
    if decide_sosuu(i):
        if decide_sosuu((i*2)-1):
            cnt += 1
            ALL.append(cnt)
        else:
            ALL.append(cnt)
    else:
        ALL.append(cnt)
Q = int(input())
for _ in range(Q):
    l, r = map(int, input().split())
    if l == 1:
        print(ALL[int(r/2)])
    else:
        print(ALL[int(r/2)] -ALL[int(l/2)-1])