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

p=(10**9)+7

def get_mod_factalize(A):
    a_mod = 1     
    for a in range(1,A+1):
        a_mod = a * a_mod % p
    return a_mod

def get_mod_comb(A,B):
    a_mod = get_mod_factalize(A)
    b_mod = get_mod_factalize(B)
    a_b_mod = get_mod_factalize(A-B)

    return (a_mod * pow((b_mod*a_b_mod),p-2,p))%p

get_mod_comb(A,B)
a = N-K
b = K

for i in range(1,K+1): 
    ans=(get_mod_comb(a+1,i) * get_mod_comb(b-1,i-1))%p
    print(ans)

Fixed submission:
N,K = list(map(int,input().split()))
# N = random.randint(1,20)
# K = random.randint(1,N)
# print(N,K)

p=(10**9)+7

def get_mod_factalize(A):
    a_mod = 1     
    for a in range(1,A+1):
        a_mod = a * a_mod % p
    return a_mod

def get_mod_comb(A,B):
    a_mod = get_mod_factalize(A)
    b_mod = get_mod_factalize(B)
    a_b_mod = get_mod_factalize(A-B)

    return (a_mod * pow((b_mod*a_b_mod),p-2,p))%p

a = N-K
b = K

for i in range(1,K+1): 
    if i > a+1 :
        ans=0
    else:
        ans=(get_mod_comb(a+1,i) * get_mod_comb(b-1,i-1))%p
    print(ans)
Buggy python submission (verdict: Runtime Error):
from decimal import *
A,B,C,D=list(map(int,input_[0].split()))

def gcd(a,b):
    x=max(a,b)
    y=min(a,b)
    
    while True:
#         print(x,y)
        y_ = x % y
        if y_ == 0:
            return y
        x = y
        y = y_

def lcm(a,b):
    ans=Decimal(a*b)/Decimal(gcd(a,b))
    return ans.as_integer_ratio()[0]

CD=lcm(C,D)
len_all = B-A+1
len_c = B//C-(A-1)//C
len_d = B//D-(A-1)//D
len_c_and_d = B//CD-(A-1)//CD

ans=len_all-len_c-len_d+len_c_and_d 
print(int(ans))

Fixed submission:
from decimal import *
A,B,C,D=list(map(int,input().split()))

def gcd(a,b):
    x=max(a,b)
    y=min(a,b)
    
    while True:
#         print(x,y)
        y_ = x % y
        if y_ == 0:
            return y
        x = y
        y = y_

def lcm(a,b):
    ans=Decimal(a*b)/Decimal(gcd(a,b))
    return ans.as_integer_ratio()[0]

CD=lcm(C,D)
len_all = B-A+1
len_c = B//C-(A-1)//C
len_d = B//D-(A-1)//D
len_c_and_d = B//CD-(A-1)//CD

ans=len_all-len_c-len_d+len_c_and_d 
print(int(ans))
Buggy python submission (verdict: Runtime Error):
N,M=list(map(int,input().split()))

S=[]
s=0
for m in range(M):
    e = int(input())
    S.append(list(range(s,e)))
    s = e+1

e = int(N+1)
S.append(list(range(s,e)))

fibo=[0,1]
for n in range(2,N+1):
    fibo.append(fibo[n-2]+fibo[n-1])
    
ans=1
for s in S:
    ans=ans*fibo[len(s)]
print(ans%1000000007)

Fixed submission:
N,M=list(map(int,input().split()))
 
S=[]
s=0
for m in range(M):
    e = int(input())
    S.append(list(range(s,e)))
    s = e+1

e = int(N+1)
S.append(list(range(s,e)))
 
fibo=[0,1]
for n in range(2,N+2):
    fibo.append(fibo[n-2]+fibo[n-1])
    
ans=1
for s in S:
    ans=ans*fibo[len(s)]
print(ans%1000000007)
Buggy python submission (verdict: Runtime Error):
import pandas as pd
N = int(input())
city=[]
for n in range(N):
    S = input().split()
    city.append(S)
city=pd.DataFrame(city).sort_values([0,1],ascending=[True, False])

# city=city.sort_index()
for ans in city.index:
    print(ans+1)

Fixed submission:
N = int(input())
city={}
city_name=[]
for n in range(N):
    S = input().split()
    city[n+1]=S
    city_name.append(S[0])

city_name=list(set(city_name))
city_name.sort()

for c_name in city_name:
    city_temp = {}
    for c_key in city.keys():
        if city[c_key][0] == c_name:
            city_temp[int(city[c_key][1])]=c_key
            
    p_temp = list(city_temp.keys())
    p_temp.sort(reverse=True)
    for v in p_temp:
        print(city_temp[v])
Buggy python submission (verdict: Runtime Error):
N,M=list(map(int,input_[0].split()))
l=1
r=N
for m in range(M):
    l_,r_ = list(map(int,input_[1+m].split()))
    l = max(l,l_)
    r = min(r,r_)
    
ans = r-l+1

print(ans)

Fixed submission:
N,M=list(map(int,input().split()))
l=1
r=N
for m in range(M):
    l_,r_ = list(map(int,input().split()))
    l = max(l,l_)
    r = min(r,r_)
    
ans = r-l+1

if ans<0:
    ans=0
print(ans)
Buggy python submission (verdict: Runtime Error):
from collections import deque

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

BC_dict={}
for m in range(M):
    b,c = list(map(int,input().split()))
    if c in BC_dict.keys():
        BC_dict[c]+=b  
    else:    
        BC_dict[c]=b  
    
C = list(BC_dict.keys())

A.sort()
C.sort(reverse=True)

C=deque(C)

check = C.popleft()

for a_idx,a in enumerate(A):
    if a >= check:
        break
    
    A[a_idx] = check
    BC_dict[check] -= 1
    
    if BC_dict[check] == 0:
        if len(C) == 0:
            break
        else:
            print(C)
            check = C.popleft()
        
print(sum(A))

Fixed submission:
from collections import deque

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

BC_dict={}
for m in range(M):
    b,c = list(map(int,input().split()))
    if c in BC_dict.keys():
        BC_dict[c]+=b  
    else:    
        BC_dict[c]=b  
    
C = list(BC_dict.keys())

A.sort()
C.sort(reverse=True)

C=deque(C)

check = C.popleft()

for a_idx,a in enumerate(A):
    if a >= check:
        break
    
    A[a_idx] = check
    BC_dict[check] -= 1
    
    if BC_dict[check] == 0:
        if len(C) == 0:
            break
        else:
            check = C.popleft()
        
print(sum(A))
Buggy python submission (verdict: Runtime Error):
import numpy as np
import math

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

ans = 0
for n in range(1,N+1):
    p = np.log2(K/n)
    p = math.ceil(p)
    
    if p < 0:
        p=0
    
    ans_temp = (1/N)*(1/2)**p
    ans+=ans_temp
    
print(ans)

Fixed submission:
import numpy as np
import math
 
N,K=list(map(int,input().split()))
 
ans = 0
for n in range(1,N+1):
    p = np.log2(K/n)
    p = math.ceil(p)
    
    if p < 0:
        p=0
    
    ans_temp = (1/N)*(1/2)**p
    ans+=ans_temp
    
print(ans)
Buggy python submission (verdict: Runtime Error):
D=[]
for i in range(5):
  D.append(int(input()))

D_mod_max = 9
for i in range(5):
  if (D[i]%10 != 0) & (D[i]%10 < D_mod_max):
    D_remove = D[i]
    D_mod_max = D[i]%10
    
D.remove(D_remove)

sum=0
for i in range(len(D)):
  if D[i]%10 !=0:
    sum=sum+D[i]+(10-D[i]%10)
  else:
    sum=sum+D[i]

sum=sum+D_remove

print(sum)

Fixed submission:
D=[]
for i in range(5):
  D.append(int(input()))

D_mod_max = D[0]%10
D_remove = D[0]

for i in range(1,5):
  if D_mod_max==0:
    D_remove = D[i]
    D_mod_max = D[i]%10
    
  elif (D[i]%10 != 0) & (D[i]%10 < D_mod_max):
    D_remove = D[i]
    D_mod_max = D[i]%10
    
D.remove(D_remove)

sum=0
for i in range(len(D)):
  if D[i]%10 !=0:
    sum=sum+D[i]+(10-D[i]%10)
  else:
    sum=sum+D[i]

sum=sum+D_remove

print(sum)
Buggy python submission (verdict: Time Limit Exceeded):
N,Q=[int(x) for x in input().split()]
S=list(input())

AC_list=[0]

for i in range(1,N):
  if (S[i-1]=='A')&(S[i]=='C'):
    AC_list.append(AC_list[i-1]+1)
  else:
    AC_list.append(AC_list[i-1])

for l in range(Q): 
  S,E=[int(x) for x in input().split()]
  
  print(max(AC_list[S-1:E])-min((AC_list[S-1:E])))

Fixed submission:
N,Q=[int(x) for x in input().split()]
S=list(input())

t=[0]

for i in range(1,N):
  if (S[i-1]=='A')&(S[i]=='C'):
    t.append(t[i-1]+1)
  else:
    t.append(t[i-1])

for i in range(Q):
  r,l = map(int, input().split(" "))
  print(abs(t[r-1]-t[l-1]))

Buggy python submission (verdict: Time Limit Exceeded):
N,Q=[int(x) for x in input().split()]
S=input()
Check_list=['A','T','G','C']

for i in range(Q):
  l,r=[int(x) for x in input().split()]
  S_temp=S[l-1:r]
  S_temp_list=S_temp.split('AC')
  
  ac_num=len(S_temp_list)-1
  
  print(ac_num)

Fixed submission:
N,Q=[int(x) for x in input().split()]
S=list(input())

t=[0]

for i in range(1,N):
  if (S[i-1]=='A')&(S[i]=='C'):
    t.append(t[i-1]+1)
  else:
    t.append(t[i-1])

for i in range(Q):
  r,l = map(int, input().split(" "))
  print(abs(t[r-1]-t[l-1]))

Buggy python submission (verdict: Time Limit Exceeded):
N,Q=[int(x) for x in input().split()]
S=list(input())
Check_list=['A','T','G','C']

for i in range(Q):
  l,r=[int(x) for x in input().split()]
  S_temp=S[l-1:r]
  
  ac_num=0
  
  for l in range(len(S_temp)-1):
    if (S_temp[l]=='A') & (S_temp[l+1]=='C'):
      ac_num+=1
    
  print(ac_num)

Fixed submission:
N,Q=[int(x) for x in input().split()]
S=list(input())

t=[0]

for i in range(1,N):
  if (S[i-1]=='A')&(S[i]=='C'):
    t.append(t[i-1]+1)
  else:
    t.append(t[i-1])

for i in range(Q):
  r,l = map(int, input().split(" "))
  print(abs(t[r-1]-t[l-1]))
Buggy python submission (verdict: Runtime Error):
import numpy as np
M=np.zeros((H,W))
H,W=[int(x) for x in input().split()]
h,w=[int(x) for x in input().split()]

for n in range(h):
    print
    M[n]=1
for m in range(w):
        M.T[m]=1
        
print(len(M[M==0]))

Fixed submission:
import numpy as np
H,W=[int(x) for x in input().split()]
h,w=[int(x) for x in input().split()]

M=np.zeros((H,W))

for n in range(h):
    print
    M[n]=1
for m in range(w):
        M.T[m]=1
        
print(len(M[M==0]))

Buggy python submission (verdict: Runtime Error):
import numpy as np
M=np.zeros((H,W))
H,W=[int(x) for x in input().split()]
h,w=[int(x) for x in input().split()]

for n in range(h):
    print
    M[n]=1
for m in range(w):
        M.T[m]=1
        
len(M[M==0])

Fixed submission:
import numpy as np
H,W=[int(x) for x in input().split()]
h,w=[int(x) for x in input().split()]

M=np.zeros((H,W))

for n in range(h):
    print
    M[n]=1
for m in range(w):
        M.T[m]=1
        
print(len(M[M==0]))
Buggy python submission (verdict: Runtime Error):
A,B=[int(x) for x in input().split()]

m=B%A

if m == 0:
  print(A+B)
else:
  prince(B-A)

Fixed submission:
A,B = [int(x) for x in input().split()]

if B%A==0:
  print(A+B)
else:
  print(B-A)
Buggy python submission (verdict: Time Limit Exceeded):
N,M = list(map(int,input().split()))
X = list(map(int,input().split()))

X.sort()

Y = []
for i in range(M-1):
  Y.append(abs(X[i]-X[i+1]))
  Y.sort()
  
res=0
for i in range(M-N):
  res=res+Y[i]

print(res)

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

X.sort()

Y = []
for i in range(M-1):
  Y.append(abs(X[i]-X[i+1]))
  
Y.sort()
  
res=0
for i in range(M-N):
  res=res+Y[i]

print(res)
Buggy python submission (verdict: Time Limit Exceeded):
def get_(i):
    zero_len = 6-len(str(i))
    return '0'*zero_len+str(i)

N,M = list(map(int,input().split()))
N_list=[[] for n in range(N)]
M_list=[]

for m in range(M):
    P,Y=list(map(int,input().split()))
    N_list[P-1].append(Y)
    M_list.append([P,Y])
    
for n in N_list:
    n.sort()
    
for m in M_list:
    p=get_(m[0])
    
    i=N_list[m[0]-1].index(m[1])+1
    i=get_(i)
    
    print(p+i)


Fixed submission:
def get_(i):
    zero_len = 6-len(str(i))
    return '0'*zero_len+str(i)

def get_idx(n,L):
    if len(L)<100:
        left=0
        right=len(L)
    else:    
        left=0
        right=len(L)

        i=0
        while i < 50:
            half=int((left+right)/2)
            if n <= L[half]:
                right = half
            else:
                left = half
            i+=1
        
    if left >= 1:
        left -= 1
        
    for i in range(left,right+1):
        if L[i]==n:
            return i

N,M = list(map(int,input().split()))
N_list=[[] for n in range(N)]
M_list=[]

for m in range(M):
    P,Y=list(map(int,input().split()))
    N_list[P-1].append(Y)
    M_list.append([P,Y])
    
for n in N_list:
    n.sort()
    
for m in M_list:
    p=get_(m[0])
    
    i=get_idx(m[1],N_list[m[0]-1])+1
    i=get_(i)
    
    print(p+i)

Buggy python submission (verdict: Time Limit Exceeded):
def get_(i):
    zero_len = 6-len(str(i))
    return '0'*zero_len+str(i)

N,M = list(map(int,input().split()))
N_list=[[] for n in range(N)]
M_list=[]

for m in range(M):
    P,Y=list(map(int,input().split()))
    N_list[P-1].append(Y)
    M_list.append([P,Y])
    
for n in N_list:
    n.sort()
    
for m in M_list:
    p=get_(m[0])
    
    i=N_list[m[0]-1].index(m[1])+1
    i=get_(i)
    
    print(p+i)

Fixed submission:
def get_(i):
    zero_len = 6-len(str(i))
    return '0'*zero_len+str(i)

def get_idx(n,L):
    if len(L)<100:
        left=0
        right=len(L)
    else:    
        left=0
        right=len(L)

        i=0
        while i < 50:
            half=int((left+right)/2)
            if n <= L[half]:
                right = half
            else:
                left = half
            i+=1
        
    if left >= 1:
        left -= 1
        
    for i in range(left,right+1):
        if L[i]==n:
            return i

N,M = list(map(int,input().split()))
N_list=[[] for n in range(N)]
M_list=[]

for m in range(M):
    P,Y=list(map(int,input().split()))
    N_list[P-1].append(Y)
    M_list.append([P,Y])
    
for n in N_list:
    n.sort()
    
for m in M_list:
    p=get_(m[0])
    
    i=get_idx(m[1],N_list[m[0]-1])+1
    i=get_(i)
    
    print(p+i)
Buggy python submission (verdict: Runtime Error):
N = int(input_[0])
S=[]

for n in range(N):
    s=input_[n+1]
    S.append(s)
S_set=set(S)

ans='Yes'
if len(S_set) != N:
    ans='No'

for n in range(N-1):
    n_ = n+1
    s_0=S[n][-1]
    s_1=S[n_][0]
    
    if s_0 != s_1:
        ans='No'
print(ans)

Fixed submission:
N = int(input())
S=[]

for n in range(N):
    s=input()
    S.append(s)
S_set=set(S)

ans='Yes'
if len(S_set) != N:
    ans='No'

for n in range(N-1):
    n_ = n+1
    s_0=S[n][-1]
    s_1=S[n_][0]
    
    if s_0 != s_1:
        ans='No'
print(ans)
Buggy python submission (verdict: Runtime Error):
N,K=list(map(int,input().split()))
X=list(map(int,input().split()))

P_list=[0]
N_list=[0]
zero_num=0

for x in X:
    if x < 0:
        N_list.append(-x)
    elif x == 0:
        zero_num=1
    else:
        P_list.append(x)

P_list.sort()
N_list.sort()
P_list,N_list

move=[]
for i in range(K+1):
    j=K-i
#     print(i,j)
    if i >= len(P_list) or j >= len(N_list):
        continue
    move_=min(2*P_list[i]+N_list[j],P_list[i]+2*N_list[j])
#     print(move_)
    move.append(move_)
print(min(move))

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

P_list=[0]
N_list=[0]
zero_num=0

for x in X:
    if x < 0:
        N_list.append(-x)
    elif x == 0:
        zero_num=1
    else:
        P_list.append(x)
        
K=K-zero_num

P_list.sort()
N_list.sort()
P_list,N_list

move=[]
for i in range(K+1):
    j=K-i
#     print(i,j)
    if i >= len(P_list) or j >= len(N_list):
        continue
    move_=min(2*P_list[i]+N_list[j],P_list[i]+2*N_list[j])
#     print(move_)
    move.append(move_)
    
if len(move)==0:
    move.append(0)
    
print(min(move))
Buggy python submission (verdict: Runtime Error):
N=int(input())
A=list(map(int,input().split()))

import math
A_=list(set(A))

def lcm(a,b):
    gcd_= math.gcd(a,b)
    return int(a*b/gcd_)

lcm_ = A_[0]

for a_idx in range(1,len(A_)):
    lcm_ = lcm(lcm_,A_[a_idx])
    
lcm_ = lcm_-1
lcm_

ans=0
for a in A:
#     print(lcm_%a)
    ans+=lcm_%a
    
print(ans)

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

import math
A_=list(set(A))

def lcm(a,b):
    gcd_= math.gcd(a,b)
    return int(a*b//gcd_)

lcm_ = A_[0]

for a_idx in range(1,len(A_)):
    lcm_ = lcm(lcm_,A_[a_idx])
    
lcm_ = lcm_-1
lcm_

ans=0
for a in A:
#     print(lcm_%a)
    ans+=lcm_%a
    
print(ans)
Buggy python submission (verdict: Runtime Error):
S=list(input())
K=int(input())

S_=set([])
for s in tqdm.tqdm_notebook(range(len(S))):
    s_temp=S[s]
    S_.add(s_temp)
    S_temp_list=[s_temp,'']
    for e in range(s+1,len(S)):
        if e-s > K+2:
            break
        S_temp_list[1]=S[e]
        s_temp=''.join(S_temp_list)
        S_.add(s_temp)
        S_temp_list[0]=s_temp
        
S_=list(set(S_))
S_.sort()
# print(S_)
print(S_[K-1])

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

S_=[]
for s in range(len(S)):
    s_temp=S[s]
    S_.append(s_temp)
    for e in range(s+1,len(S)):
        if e-s>K+10:
          break
        s_temp+=S[e]
        S_.append(s_temp)
        
S_=list(set(S_))
S_.sort()
# print(S_)
print(S_[K-1])

Buggy python submission (verdict: Time Limit Exceeded):
S=list(input())
K=int(input())

S_=[]
for s in range(len(S)):
    s_temp=S[s]
    S_.append(s_temp)
    for e in range(s+1,len(S)):
        s_temp+=S[e]
        S_.append(s_temp)
        
S_=list(set(S_))
S_.sort()
# print(S_)
print(S_[K-1])

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

S_=[]
for s in range(len(S)):
    s_temp=S[s]
    S_.append(s_temp)
    for e in range(s+1,len(S)):
        if e-s>K+10:
          break
        s_temp+=S[e]
        S_.append(s_temp)
        
S_=list(set(S_))
S_.sort()
# print(S_)
print(S_[K-1])
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))

A.sort()
n = A[-1]

r_=11/2

a_before=''
for a in A[:-1]:
    if a >= r_:
        break
    a_before = a
    
if abs(r_-a) >= abs(r_-a_before):
    r = a_before
else:
    r = a
    
print(n,r)

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

A.sort()
n = A[-1]

r_=n/2

a_before=''
for a in A[:-1]:
    if a >= r_:
        break
    a_before = a
    
if abs(r_-a) >= abs(r_-a_before):
    r = a_before
else:
    r = a
    
print(n,r)
Buggy python submission (verdict: Runtime Error):
N=int(input_[0])
A1 =  list(map(int,input().split()))
A2 =  list(map(int,input().split()))

A2.reverse()

# 累積和
A1_=[]
A2_=[]

a1_=0
a2_=0
for n in range(N):
    a1_ = a1_+A1[n]
    a2_ = a2_+A2[n]
    
    A1_.append(a1_)
    A2_.append(a2_)
    
A2_.reverse()

ans=0
for n in range(N):
    if ans < A1_[n]+A2_[n]:
        ans = A1_[n]+A2_[n]
print(ans)

Fixed submission:
N=int(input())
A1 =  list(map(int,input().split()))
A2 =  list(map(int,input().split()))

A2.reverse()

# 累積和
A1_=[]
A2_=[]

a1_=0
a2_=0
for n in range(N):
    a1_ = a1_+A1[n]
    a2_ = a2_+A2[n]
    
    A1_.append(a1_)
    A2_.append(a2_)
    
A2_.reverse()

ans=0
for n in range(N):
    if ans < A1_[n]+A2_[n]:
        ans = A1_[n]+A2_[n]
print(ans)
Buggy python submission (verdict: Runtime Error):
import math

N,H = list(map(int,input().split()))

A=[]
B=[]
for n in range(N):
    a,b = list(map(int,input_[1+n].split()))
    A.append(a)
    B.append(b)
    
A.sort(reverse=True)
B.sort(reverse=True)
A,B

a_max=A[0]

B_=[]
for b in B:
    if b < a_max:
        break
    B_.append(b)
B=B_

B_sum = [0]
for b in B:
    B_sum.append(B_sum[-1]+b)

ans = 0
for b_sum_idx,b_sum in enumerate(B_sum):
    if b_sum >= H:
        ans = b_sum_idx
        break
        
    ans = b_sum_idx
H = max(0,H - b_sum)

ans += math.ceil(H/a_max)

print(ans)

Fixed submission:
import math

N,H = list(map(int,input().split()))

A=[]
B=[]
for n in range(N):
    a,b = list(map(int,input().split()))
    A.append(a)
    B.append(b)
    
A.sort(reverse=True)
B.sort(reverse=True)
A,B

a_max=A[0]

B_=[]
for b in B:
    if b < a_max:
        break
    B_.append(b)
B=B_

B_sum = [0]
for b in B:
    B_sum.append(B_sum[-1]+b)

ans = 0
for b_sum_idx,b_sum in enumerate(B_sum):
    if b_sum >= H:
        ans = b_sum_idx
        break
        
    ans = b_sum_idx
H = max(0,H - b_sum)

ans += math.ceil(H/a_max)

print(ans)
Buggy python submission (verdict: Runtime Error):
def gcd(a,b):
    x=int(max(a,b))
    y=int(min(a,b))
    if x%y==0:
        return y
    else:
        while x%y!=0:
            z=x%y
            x=y
            y=z
        else:
            return z
        
def lcm(a,b):
    return int(a*b/gcd(a,b))

N=int(input())

a=int(input())

for n in range(1,N):
    b=int(input())
    a=lcm(a,b)
print(a)

Fixed submission:
def gcd(a,b):
    x=max(a,b)
    y=min(a,b)
    if x%y==0:
        return y
    else:
        while x%y!=0:
            z=x%y
            x=y
            y=z
        else:
            return z
        
def lcm(a,b):
    return int(a*b//gcd(a,b))

N=int(input())

a=int(input())

for n in range(1,N):
    b=int(input())
    a=lcm(a,b)
print(a)

Buggy python submission (verdict: Runtime Error):
def gcd(a,b):
    x=max(a,b)
    y=min(a,b)
    if x%y==0:
        return y
    else:
        while x%y!=0:
            z=x%y
            x=y
            y=z
        else:
            return z
        
def lcm(a,b):
    return int(a*b/gcd(a,b))

N=int(input())

a=int(input())

for n in range(1,N):
    b=int(input())
    a=lcm(a,b)
print(a)

Fixed submission:
def gcd(a,b):
    x=max(a,b)
    y=min(a,b)
    if x%y==0:
        return y
    else:
        while x%y!=0:
            z=x%y
            x=y
            y=z
        else:
            return z
        
def lcm(a,b):
    return int(a*b//gcd(a,b))

N=int(input())

a=int(input())

for n in range(1,N):
    b=int(input())
    a=lcm(a,b)
print(a)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = input().split()

B_=[]
B_.append(A[0]) 

if N > 1:
    B_.append(A[1]+' '+A[0])
    for a_idx in range(2,len(A)):
        B_.append(A[a_idx]+' '+B_[a_idx-2]+' '+A[a_idx-1])
print(B_[-1])

Fixed submission:
from collections import deque
N = int(input())
A = list(map(int,input().split()))

B_even = deque([A[0]])
if N > 1:
    B_add = deque([A[1],A[0]])

for a_idx in range(2,len(A)):
    if a_idx % 2 == 0 :
        B_even.appendleft(A[a_idx])
        B_even.append(A[a_idx-1])
    else:
        B_add.appendleft(A[a_idx])
        B_add.append(A[a_idx-1])
        
if (N-1) % 2 ==0:
    B = B_even
else:
    B = B_add
    
print(' '.join(map(str,B)))
Buggy python submission (verdict: Runtime Error):
N = int(input())
S = list(input())

right = 0
left = 0

divid = [0]
for s_1 in range(len(S)-1):
    s_2 = s_1+1
    if S[s_1] == ')' and S[s_2] == '(':
        divid.append(s_2)
divid.append(len(S))

for s1,s2 in zip(divid[:-1],divid[1:]):
    S_temp = S[s1:s2]
    right_temp = 0
    left_temp = 0
    for s in S_temp:
        if s == '(':
            left_temp += 1
        if s == ')':
            right_temp += 1    
    
    right += max(0,right_temp - left_temp)
    left += max(0,left_temp - right_temp)
    
#     print(s1,s2,S_temp)
#     print(right,left)
print('('*right+S_+')'*left)

Fixed submission:
N = int(input())
S_ = input()
s=S_

count = 0
new_left = 0
new_right = 0

for si in s:
    if si == '(':
        count += 1
    else:
        count -= 1

        if count == -1:
            count = 0
            new_left += 1

new_right = count
print('(' * new_left + s + ')' * new_right)
Buggy python submission (verdict: Runtime Error):
import numpy as np
N,M = list(map(int,input().split()))

A=[]
B=[]
for n in range(N):
    A_ = list(input())
    A.append(A_)
    
for m in range(M):
    B_ = list(input())
    B.append(B_)
    
B=np.array(B)

ans='No'
for n1 in range(N-M+1):
    for n2 in range(N-M+1):
        check = np.array(A)[n1:n1+M,n2:n2+M]
        c=np.unique(check == B)
        
        if False not in set(c):
            ans='Yes'
            break
            
print(ans)

Fixed submission:
import numpy as np
N,M = list(map(int,input().split()))

A=[]
B=[]
for n in range(N):
    A_ = list(input())
    A.append(A_)
    
for m in range(M):
    B_ = list(input())
    B.append(B_)
    
B=np.array(B)

ans='No'
for n1 in range(N-M+1):
    for n2 in range(N-M+1):
        check = np.array(A)[n1:n1+M,n2:n2+M]
        c=np.unique(check == B)
        
        if False not in set(c):
            ans='Yes'
            break
            
print(ans)