Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
A,B,C,K=map(int, input().split())
num_list=[]

list1=[1]*A
list2=[0]*B
list3=[-1]*C

num_list.extend(list1)
num_list.extend(list2)
num_list.extend(list3)

print(sum(num_list[0:K]))


Fixed submission:
S=input()
T=input()

if S==T[0:-1] and len(S)<=10:
    print('Yes') 
else:
    print('No')

Buggy python submission (verdict: Runtime Error):
A,B,C,K=map(int, input().split())
num_list=[]
for i in range(A):
    num_list.append(1)
for j in range(B):
    num_list.append(0)
for k in range(C):
    num_list.append(-1)
print(sum(num_list[0:K]))


Fixed submission:
S=input()
T=input()

if S==T[0:-1] and len(S)<=10:
    print('Yes') 
else:
    print('No')

Buggy python submission (verdict: Runtime Error):
A,B,C,K=map(int, input().split())
num_list=[]
for i in range(A):
    num_list.append(1)
for j in range(B):
    num_list.append(0)
for k in range(C):
    num_list.append(-1)

print(sum(num_list[0:K-1]))


Fixed submission:
S=input()
T=input()

if S==T[0:-1] and len(S)<=10:
    print('Yes') 
else:
    print('No')

Buggy python submission (verdict: Runtime Error):
A,B,C,K=map(int, input().split())
num_list=[]
for i in range(A):
    num_list.append(1)
for j in range(B):
    num_list.append(0)
for k in range(C):
    num_list.append(-1)

print(sum(num_list[0:K-1]))


Fixed submission:
S=input()
T=input()

if S==T[0:-1] and len(S)<=10:
    print('Yes') 
else:
    print('No')

Buggy python submission (verdict: Runtime Error):
A,B,C,K=map(int, input().split())
num_list=()
for i in range(A):
    num_list.append(1)
for j in range(B):
    num_list.append(0)
for k in range(C):
    num_list.append(-1)

print(sum(num_list[0:K-1]))


Fixed submission:
S=input()
T=input()

if S==T[0:-1] and len(S)<=10:
    print('Yes') 
else:
    print('No')

Buggy python submission (verdict: Runtime Error):
A,B,C,K=map(int, input().split())
num_list=()
for i in range(A):
    num_list.append(1)
for j in range(B):
    num_list.append(0)
for k in range(C):
    num_list.append(-1)

print(sum(num_list[0:K-1]))


Fixed submission:
S=input()
T=input()

if S==T[0:-1] and len(S)<=10:
    print('Yes') 
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
X, Y = map(int, input().split())
ans = 'No'
for a in range(X + 1):
  b = X - a
  if 2 * a + 4 * b == Y:
  ans = 'Yes'
print(ans)

Fixed submission:
X, Y = map(int, input().split())
ans = 'No'
for a in range(X + 1):
  b = X - a
  if 2 * a + 4 * b == Y:
    ans = 'Yes'
print(ans)

Buggy python submission (verdict: Runtime Error):
x,y=map(int,input().split())
z=0
for a in range(x+1):
	for b in range(x-a+1):
		if 2*a + 4*b == y:
			z+=1
if z = 0:
	print("No")
else:
	print("Yes")

Fixed submission:

x,y=map(int,input().split())

for a in range(x+1):
	if 2*a + 4* (x-a)==y:
      
		print("Yes")
		exit()
    
print("No")
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
x=1
for i in range(n):
	x *=a[i]
    
if x<=10**18:
	print(x)
else:
	print(-1)

Fixed submission:
import sys
n=int(input())
a=list(map(int,input().split()))
a.sort()
x=1
for i in range(n):
	x *=a[i]
	if x>10**18:
		print(-1)
		sys.exit()
        
print(x)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
x=1
for i in a:
	x=x*i
    
if x<=10**18:
	print(x)
else:
	print(-1)

Fixed submission:
import sys
n=int(input())
a=list(map(int,input().split()))
a.sort()
x=1
for i in range(n):
	x *=a[i]
	if x>10**18:
		print(-1)
		sys.exit()
        
print(x)
Buggy python submission (verdict: Time Limit Exceeded):
a,b,n=map(int, input().split())
print(max(list( int(a*x/b//1 - x/b//1*a) for x in range(1,n+1) )))

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

x=min(b-1,n)

print(int(a*x/b))

Buggy python submission (verdict: Time Limit Exceeded):
a,b,n=map(int, input().split())
print(max(list( int(a*x/b//1 - x/b//1*a) for x in range(1,n+1) )))

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

x=min(b-1,n)

print(int(a*x/b))

Buggy python submission (verdict: Time Limit Exceeded):
a,b,n=map(int, input().split())
print(max(list( int(a*x/b//1 - x/b//1*a) for x in range(1,n+1) )))

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

x=min(b-1,n)

print(int(a*x/b))

Buggy python submission (verdict: Time Limit Exceeded):
a,b,n=map(int, input().split())
print(int(max(list( a*x/b//1 - x/b//1*a for x in range(1,n+1) ))))

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

x=min(b-1,n)

print(int(a*x/b))
Buggy python submission (verdict: Runtime Error):
a = int(input())
b = int(input())

x = a*b

if x%2 == 0:
    print('Even')
else:
    print('Odd')


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

x = a*b

if x%2 == 0:
    print('Even')
else:
    print('Odd')
Buggy python submission (verdict: Runtime Error):
x,y = input().split()

print("<" if x<y else "=" if x=y else ">")

Fixed submission:
x,y = input().split()

print("<" if x<y else "=" if x==y else ">")
Buggy python submission (verdict: Runtime Error):
c1 = input()
c2 = input()

print("YES" if c1=c2[::-1] else "NO")

Fixed submission:
c1 = input()
c2 = input()

print("YES" if c1==c2[::-1] else "NO")

Buggy python submission (verdict: Runtime Error):
c1 = input()
c2 = input()

print("YES" if c1=c2[::-1] "NO")

Fixed submission:
c1 = input()
c2 = input()

print("YES" if c1==c2[::-1] else "NO")
Buggy python submission (verdict: Runtime Error):
r,g = map(int, input().split())

print(g*2-r)

Fixed submission:
r=int(input())
g=int(input())

print(g*2-r)
Buggy python submission (verdict: Runtime Error):
n,a = map(int, input().split())

print(n**2-a)

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

print(n**2-a)

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

print(n*n-a)

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

print(n**2-a)
Buggy python submission (verdict: Runtime Error):
n = input()

print("Yes" if n[0]=n[2] else "No")

Fixed submission:
n = input()

print("Yes" if n[0]==n[2] else "No")
Buggy python submission (verdict: Runtime Error):
r,g,b = map(int, input().split())


print("YES" if (g*10+b)%4===0 else "NO")

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


print("YES" if (g*10+a)%4==0 else "NO")

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


print("YES" if (g*10+a)%4===0 else "NO")

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


print("YES" if (g*10+a)%4==0 else "NO")
Buggy python submission (verdict: Runtime Error):
a,b,c=input().split

print("YES" if a[-1]==b[0] and b[-1]==c[0] else "NO")

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

print("YES" if a[-1]==b[0] and b[-1]==c[0] else "NO")

Buggy python submission (verdict: Runtime Error):
a,b,c=input().split

print("YES" if a[0]==b[0] and b[0]==c[0] else "NO")

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

print("YES" if a[-1]==b[0] and b[-1]==c[0] else "NO")
Buggy python submission (verdict: Runtime Error):
a, b = map(int, input().split)

print((a+b)%24)

Fixed submission:
a, b = map(int,input().split())
 
print((a+b)%24)
Buggy python submission (verdict: Runtime Error):
a, b = map(int, input().split())

if a > b:
  print("Alice")
elif a = b:
  print("Draw")
else:
  print("Bob")

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

if a==1 or b==1:
  print("Alice" if a<b
       else "Draw" if a==b
       else "Bob")
else:
  print("Alice" if a>b
       else "Draw" if a==b
       else "Bob")
Buggy python submission (verdict: Runtime Error):
a, b, c = input().split(",")

print(a b c)



Fixed submission:
a, b, c = input().split(",")

print(a,b,c)
Buggy python submission (verdict: Runtime Error):
a, b = map(int, input().split())
op = input()
 
print(a+b if op == "+" else a-b)

Fixed submission:
a, op, b = map(str, input().split())

 
print(int(a)+int(b) if op == "+" else int(a)-int(b))

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

print(a+b if op = "+" else a-b)

Fixed submission:
a, op, b = map(str, input().split())

 
print(int(a)+int(b) if op == "+" else int(a)-int(b))
Buggy python submission (verdict: Runtime Error):
x = map(int, input().split())
print(x[0][0]+x[1][0]+x[2][0])

Fixed submission:
x=input().split()
print(x[0][0]+x[1][0]+x[2][0])

Buggy python submission (verdict: Runtime Error):
x = map(int, input().split())
print(x[0]+x[1]+x[2])

Fixed submission:
x=input().split()
print(x[0][0]+x[1][0]+x[2][0])

Buggy python submission (verdict: Runtime Error):
x=map(int, input().split())
print(x[0]+x[1]+x[2])

Fixed submission:
x=input().split()
print(x[0][0]+x[1][0]+x[2][0])
Buggy python submission (verdict: Runtime Error):
a, b, c = sorted(map(int.input().split()))

print("YES" if a+b == c else "No")

Fixed submission:
a, b, c = sorted(map(int, input().split()))
print("Yes" if a+b == c else "No")
Buggy python submission (verdict: Runtime Error):
abc = list(input().split())

print(lens(set(abc)))

Fixed submission:
abc = list(input().split())
print(len(set(abc)))
Buggy python submission (verdict: Runtime Error):
n = int(input())
k = int(input())
x = int(input())
y = int(input())

print(x*n if n=<k else k*x+(n-k)*y)


Fixed submission:
n=int(input())
k=int(input())
x=int(input())
y=int(input())
print(x*n if n<=k else y*(n-k)+x*k)
Buggy python submission (verdict: Runtime Error):
N=int(input())

if N%1000==0:
    print("0")
elif:
    print((1000-(N%1000))

Fixed submission:
N=int(input())

if N%1000==0:
    print("0")
else:
    print((1000-(N%1000)))
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
an=list(map(int,input().split()))
ans=1
for i in range(n):
    ans*=an[i]
if ans>10**18:
    print("-1")
    exit()
print(ans)

Fixed submission:
n=int(input())
an=list(map(int,input().split()))
x=an.count(0)
if x>=1:
    print(0)
    exit()
ans=1
for i in range(n):
    ans*=an[i]
    if ans>10**18:
        print("-1")
        exit()
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
ans=[0]*n
for i in range(1,n+1):
  ans[i-1]=a.index(i)+1
print(*ans)

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
ans=[0]*n
for i , j in enumerate(a):
  ans[j-1]=i+1
print(*ans)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
for i in range(1,n+1):
  ans=a.index(i)+1
  if(i!=n):
     print(ans,end=" ")
  else:
    print(ans)

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
ans=[0]*n
for i , j in enumerate(a):
  ans[j-1]=i+1
print(*ans)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
ans=[]
for i in range(1,n+1):
  ans.append(a.index(i)+1)
for i in range(n):
  if(i<n-1):
     print(ans[i],end=" ")
  else:
    print(ans[i])

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
ans=[0]*n
for i , j in enumerate(a):
  ans[j-1]=i+1
print(*ans)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
an=[]
an=[int(input()) for i in range(n)]
s_an=sorted(an,reverse=True)
for i in range(n):
    if max(an)==an[i]:
        print(s_an[1])
    else:
        print(max(an))

Fixed submission:
n=int(input())
an=[]
an=[int(input()) for i in range(n)]
s_an=sorted(an,reverse=True)
m_an=max(an)
m_an2=s_an[1]
for i in an:
    if m_an==i:
        print(m_an2)
    else:
        print(m_an)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
an=[]
an=[int(input()) for i in range(n)]
for i in range(n):
    an_a=an[0:i]+an[i+1:n]
    print(max(an_a))

Fixed submission:
n=int(input())
an=[]
an=[int(input()) for i in range(n)]
s_an=sorted(an,reverse=True)
m_an=max(an)
m_an2=s_an[1]
for i in an:
    if m_an==i:
        print(m_an2)
    else:
        print(m_an)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
an=[]
an=[int(input()) for i in range(n)]
for i in range(n):
    an_a=an[0:n]
    an_a.pop(i)
    print(max(an_a))

Fixed submission:
n=int(input())
an=[]
an=[int(input()) for i in range(n)]
s_an=sorted(an,reverse=True)
m_an=max(an)
m_an2=s_an[1]
for i in an:
    if m_an==i:
        print(m_an2)
    else:
        print(m_an)
Buggy python submission (verdict: Runtime Error):
n=int(input())
w=list()
for i in range(n):
    w.append(input())
ws=set(w)
if len(ws)!=n:
    print("No")
    exit()
for i in range(n):
    x=i+1
    if w[i][-1]!=w[x][0]:
        print("No")
        exit()
print("Yes")

Fixed submission:
n=int(input())
w=list()
for i in range(n):
    w.append(input())
ws=set(w)
if len(ws)!=n:
    print("No")
    exit()
x=0
for i in range(n-1):
    x=i+1
    if w[i][-1]!=w[x][0]:
        print("No")
        exit()
print("Yes")
Buggy python submission (verdict: Runtime Error):
counter = {}
judge = ['AC', 'WA', 'TLE', 'RE']
for c in judge:
    counter[c] = 0

num = int(input())
for i in range(num):
    counter[input()] += 1

for c in judge:
    print('%s x %d' % (c, counter[c]))


Fixed submission:
print((10000-int(input()))%1000)
Buggy python submission (verdict: Runtime Error):
N = int(input())
S = []
for i in range(N):
  S.append(input())

A = S.count("AC")
B = S.count("WA")
C = S.count("TLE")
D = S.count("RE")

print("AC × "+A)
print("WA × "+B)
print("TLE × "+C)
print("RE × "+D)

Fixed submission:
N = int(input())
S = []
for i in range(N):
  S.append(input())
 
A = S.count("AC")
B = S.count("WA")
C = S.count("TLE")
D = S.count("RE")
 
print("AC x "+str(A))
print("WA x "+str(B))
print("TLE x "+str(C))
print("RE x "+str(D))
Buggy python submission (verdict: Runtime Error):
N,K = map(int,input().split())
p = list(map(int,input().split()))
p.sort()
S = 0

for i in range(K):
  S = S + p[K]
  
print(S)

Fixed submission:
N,K = map(int,input().split())
p = list(map(int,input().split()))
p.sort()
S = 0
 
for i in range(K):
  S = S + p[i]
  
print(S)
Buggy python submission (verdict: Runtime Error):
def a(R)
    b = 6.28 * {}.format(R)
    return b
 
print(b)

Fixed submission:
print(int(input())*6.3)
Buggy python submission (verdict: Runtime Error):
N,K = map(int,input().split())
D = list(map(int,input().split()))
L = []
n = 0
l = 0
 
for p in range(N-K+1):
  for q in range(K):
    for r in range(D[p+q]+1):
      n = n + r
    f = n/D[p+q]
    l = l + f
    n = 0
  L.append(l)
  l = 0
 
print(max(L))

Fixed submission:
S,T=input().split()
A,B=map(int,input().split())
U=input()
 
if S==U:
  print(A-1, B)
else:
  print(A, B-1)

Buggy python submission (verdict: Runtime Error):
S,T=input().split()
A,B=map(int,input().split())
U=input()

if S=U:
  print(A-1, B)
else:
  print(A, B-1)

Fixed submission:
S,T=input().split()
A,B=map(int,input().split())
U=input()
 
if S==U:
  print(A-1, B)
else:
  print(A, B-1)
Buggy python submission (verdict: Runtime Error):
N = int(input())
L = [map(int,input().split())]
if len(set(L)) = N:
  print('YES')
else:
  print('NO')

Fixed submission:
N = int(input())
L = list(map(int, input().split()))
if len(set(L)) == N:
  print('YES')
else:
  print('NO')
Buggy python submission (verdict: Time Limit Exceeded):
# Sum of Divisors
N = int(input())
ans = 0

for i in range(1,N+1):
    j = 1
    while i * j <= N:
        ans += i * j
        j += 1

print(ans)


Fixed submission:
# Sum of Divisors
import math

N = int(input())
ans = 0

for i in range(1,N+1):
    K = math.floor(N/i)
    ans += (K * (K+1) * i)/2

print(int(ans))
Buggy python submission (verdict: Runtime Error):
A, B = int(input())

print(A*B)

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

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

p = 1

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

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


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

p=1

for k in range(N):
    if A[k] == 0:
        p = 0
        break

if p == 0:
    print(p)    
else:   
    for i in range(N):
        p *= A[i]
        if p > 10 ** 18:
            p = -1
            break

    print(p)
Buggy python submission (verdict: Runtime Error):
S = imput()

if S is 'ARC':
  print('ABC')
else:
  print('ARC')

Fixed submission:
S = input()
if S == 'ABC':
  print('ARC')
else:
  print('ABC')

Buggy python submission (verdict: Runtime Error):
if S is 'ABC':
	print('ARC')
elif S is 'ARC':
    print('ABC')

Fixed submission:
S = input()
if S == 'ABC':
  print('ARC')
else:
  print('ABC')

Buggy python submission (verdict: Runtime Error):
def next_contest(x):
  if x is 'ABC':
    return 'ARC'
  elif x is 'ARC':
    return 'ABC'
  else:
    return 'not defined contest'

next_contest(S)

Fixed submission:
S = input()
if S == 'ABC':
  print('ARC')
else:
  print('ABC')
Buggy python submission (verdict: Runtime Error):
x,y=list(map(int,input().split()))

for i in range(x+1):
  if i*2+(x-i)*4 == y:
    print("Yes")
    exit()
    
print("No")

Fixed submission:
A=list(map(int,input().split()))
for i in range(len(A)):
  if A[i] == 0:
    print(i+1)
    break
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
A=list(map(int,input().split()))
A.sort()
m,ans=max(A)+1,0
li=[0 for _ in range(m)]
li[0]=1

for a in A:
  if not li[a]:
    if A.count(a) == 1:
      ans += 1
    for i in range(a,m,a):
      li[i] = 1

print(ans)

Fixed submission:
n=int(input())
A=list(map(int,input().split()))+[1000001]
A.sort()
m,ans=max(A)+1,0
li=[0 for _ in range(m)]
li[0]=1

for i in range(n):
  a=A[i]
  if not li[a]:
    if A[i+1] != a:
      ans += 1
    for i in range(a,m,a):
      li[i] = 1

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

for a in A:
  ans *= a
  
if ans > 10**18:
  print('-1') 
else:
  print(ans)

Fixed submission:
n=int(input())
A=list(map(int,input().split()))
ans=1
if 0 in A:
  print('0')
else:
  for a in A:
    ans *= a
    if ans > 10**18:
      print('-1')
      exit()
  print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque

n,m=list(map(int,input().split()))
R=[[] for _ in range(n)]
sign=[0 for _ in range(n-1)]
dp=[0 for _ in range(n)]

for i in range(m):
  a,b=list(map(int,input().split()))
  R[a-1].append(b)
  R[b-1].append(a)

start=deque()
start.append(0)
dp[0]=1

while 0 in sign:
  if len(start) == 0:
    print("No")
    exit()
  s=start.popleft()
  for r in R[s]:
    if dp[r-1]:
      continue
    sign[r-2] = s + 1
    start.append(r-1)
    dp[r-1]=1
  
print("Yes")
for s in sign:
  print(s)

Fixed submission:
from collections import deque

n,m=list(map(int,input().split()))
R=[[] for _ in range(n)]
sign=[0 for _ in range(n-1)]
dp=[0 for _ in range(n)]

for i in range(m):
  a,b=list(map(int,input().split()))
  R[a-1].append(b)
  R[b-1].append(a)

start=deque()
start.append(0)
dp[0]=1

while start:
  s=start.popleft()
  for r in R[s]:
    if dp[r-1]:
      continue
    sign[r-2] = s + 1
    start.append(r-1)
    dp[r-1]=1

if 0 in sign:
  print("No")
else:
  print("Yes")
  for s in sign:
    print(s)
Buggy python submission (verdict: Runtime Error):
n,k=list(map(int,input().split()))
A=list(map(int,input().split()))
start,steps=1,0
root=dict()

while start not in root and steps < k:
  steps+=1
  root[start]=steps
  start=A[start-1]

if steps == k:
  print(start+1)
else:
  pa = steps-root[start]
  s=root[start]
  ans=(k-steps)%pa
  root={v: k for k, v in root.items()}
  print(root[s+ans])

Fixed submission:
n,k=list(map(int,input().split()))
A=list(map(int,input().split()))
start,steps=1,0
root=dict()

while start not in root and steps < k:
  root[start]=steps
  steps+=1
  start=A[start-1]

if steps == k:
  print(start)
else:
  pa = steps-root[start]
  ans= root[start] + (k-steps)%pa
  root={v: k for k, v in root.items()}
  print(root[ans])

Buggy python submission (verdict: Runtime Error):
n,k=list(map(int,input().split()))
A=list(map(int,input().split()))
start,i=1,0
root=[1]

for j in range(k):
  start=A[start-1]
  if start in root:
    i = start
    break
  root.append(start)
  
if k <= len(root):
  print(root[k-1])
else:
  newroot=root[i-1:]
  ans=(k-len(root))%len(newroot)
  print(newroot[ans])

Fixed submission:
n,k=list(map(int,input().split()))
A=list(map(int,input().split()))
start,steps=1,0
root=dict()

while start not in root and steps < k:
  root[start]=steps
  steps+=1
  start=A[start-1]

if steps == k:
  print(start)
else:
  pa = steps-root[start]
  ans= root[start] + (k-steps)%pa
  root={v: k for k, v in root.items()}
  print(root[ans])

Buggy python submission (verdict: Runtime Error):
n,k=list(map(int,input().split()))
A=list(map(int,input().split()))
start,i=1,0
root=[1]

for j in range(k):
  start=A[start-1]
  if start in root:
    i = start
    break
  root.append(start)
  
if k <= len(root):
  print(root[k-1])
else:
  newroot=root[i-1:]
  print(newroot)
  ans=(k-len(root))%len(newroot)
  print(newroot[ans])

Fixed submission:
n,k=list(map(int,input().split()))
A=list(map(int,input().split()))
start,steps=1,0
root=dict()

while start not in root and steps < k:
  root[start]=steps
  steps+=1
  start=A[start-1]

if steps == k:
  print(start)
else:
  pa = steps-root[start]
  ans= root[start] + (k-steps)%pa
  root={v: k for k, v in root.items()}
  print(root[ans])

Buggy python submission (verdict: Runtime Error):
n,k=list(map(int,input().split()))
A=list(map(int,input().split()))
start,i,j=1,0,0
root=[1]

for j in range(k):
  start=A[start-1]
  if start in root:
    i = start
    break
  root.append(start)
  
if k <= len(root):
  print(root[k-1])
else:
  newroot=root[i-1:]
  print(newroot)
  ans=(k-len(root))%len(newroot)
  print(newroot[ans])

Fixed submission:
n,k=list(map(int,input().split()))
A=list(map(int,input().split()))
start,steps=1,0
root=dict()

while start not in root and steps < k:
  root[start]=steps
  steps+=1
  start=A[start-1]

if steps == k:
  print(start)
else:
  pa = steps-root[start]
  ans= root[start] + (k-steps)%pa
  root={v: k for k, v in root.items()}
  print(root[ans])
Buggy python submission (verdict: Time Limit Exceeded):
import math
from functools import reduce

def gcd(*numbers):
  return reduce(math.gcd, numbers)

n,ans=int(input()),0
for i in range(1,n+1):
  for j in range(1,n+1):
    for k in range(1,n+1):
      ans+=gcd(i,j,k) 
print(ans)

Fixed submission:
import math
 
n,ans=int(input()),0
for i in range(1,n+1):
  for j in range(1,n+1):
    g=math.gcd(i,j)
    for k in range(1,n+1):
      ans+=math.gcd(g,k) 
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
P=list(map(int,input().split()))
Q=[]
ans = 0
for i in range(n):
  Q.append(P[i])
  if P[i] == min(Q):
    ans += 1
print(ans)

Fixed submission:
n=int(input())
P=list(map(int,input().split()))
x=float("inf")
ans = 0
for i in range(n):
  if x > P[i]:
    ans += 1
    x = P[i]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
P=list(map(int,input().split()))
ans = 0
for i in range(n):
  for j in range(i+1):
    if P[i] > P[j]:
      break
    if i == j:
      ans += 1
print(ans)

Fixed submission:
n=int(input())
P=list(map(int,input().split()))
x=float("inf")
ans = 0
for i in range(n):
  if x > P[i]:
    ans += 1
    x = P[i]
print(ans)
Buggy python submission (verdict: Runtime Error):
def gcd_e(x, y):
  if y == 0:
    return x
  else:
    return gcd_e(y,x%y)      

def lcm(x, y):
  return (x * y) // gcd_e(x, y)

n,m=list(map(int,input().split()))
A=list(map(int,input().split()))
a,b=A[0],0

for i in range(1,n):
  b = A[i]
  a = lcm(a,b)
  
if a / 2 > m:
  print('0')
else:
  print((m-a//2)//a+1)

Fixed submission:
def gcd_e(x, y):
  if y == 0:
    return x
  else:
    return gcd_e(y,x%y)      

def lcm(x, y):
  return (x * y) // gcd_e(x, y)

n,m=list(map(int,input().split()))
A=list(map(int,input().split()))
a,b=A[0],0

for i in range(1,n):
  b = A[i]
  a = lcm(a,b)
  
for i in range(n):
  if (a // A[i]) % 2 == 0:
    print('0')
    exit()    
  
if a // 2 > m:
  print('0')
else:
  print((m-a//2)//a+1)