Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
n = int(input())
c = list(input())
c = c[::-1]
cou = 0
for i in range(len(c)/2):
    if c[i] == "R":
        cou += 1
print(cou)

Fixed submission:
n = int(input())
c = list(input())
print(c[:c.count("R")].count("W"))
Buggy python submission (verdict: Runtime Error):
a,v =map(int, input().split())
b,w =map(int, input().split())
t=int(input())
if a == b:
    print("YES")
    c+=1
if a*b<0:
    d = a+b
else:
    d = a-b
if d < 0:
    d = -d
if v > w:
    d2 = v-w
else:
    d2 = w-v
if  (v > w) and (d2*t < d) and c==0:
    print("NO")
elif v <= w and c==0:
    print("NO")
elif c==0:
    print("YES")

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

if a*b<0:
    if a > 0:
        d = a-b
    else:
        d = b-a
else:
    d = a-b
if d < 0:
    d = -d
if v > w:
    d2 = v-w
else:
    d2 = w-v
if  (v > w) and (d2*t < d):
    print("NO")
elif v <= w:
    print("NO")
else:
    print("YES")

Buggy python submission (verdict: Runtime Error):
a,v =map(int, input().split())
b,w =map(int, input().split())
t=int(input())
a1 = abs(a)
b1 = abs(b)
if a*b<0:
  d = a1+b1
else:
  d = ans(a-b)
d2 = abs(v-w)

if  (v > w) and (d2*t < d):
    print("NO")
elif v <= w:
    print("NO")
else:
    print("YES")

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

if a*b<0:
    if a > 0:
        d = a-b
    else:
        d = b-a
else:
    d = a-b
if d < 0:
    d = -d
if v > w:
    d2 = v-w
else:
    d2 = w-v
if  (v > w) and (d2*t < d):
    print("NO")
elif v <= w:
    print("NO")
else:
    print("YES")

Buggy python submission (verdict: Runtime Error):
a,v =map(int, input().split())
b,w =map(int, input().split())
t=int(input())
if a < 0:
    if b < 0:
        d = (-a+b)**2**0.5
    else:
        d = -a + b
else:
    if b < 0:
        d = a - b
    else:
        d = (a - b)**2**0.5
d2 = (v-w)**2**0.5

if  (v > w) and (d2*t < d):
    print("NO")
elif v <= w:
    print("NO")
else:
    print("YES")

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

if a*b<0:
    if a > 0:
        d = a-b
    else:
        d = b-a
else:
    d = a-b
if d < 0:
    d = -d
if v > w:
    d2 = v-w
else:
    d2 = w-v
if  (v > w) and (d2*t < d):
    print("NO")
elif v <= w:
    print("NO")
else:
    print("YES")

Buggy python submission (verdict: Runtime Error):
a,v =map(int, input().split())
b,w =map(int, input().split())
t=int(input())
if v > w and ((v-w)**2**0.5)*t > ((a-b)**2**0.5):
    print("NO")
elif v > w:
    print("YES")
else:
    print("NO")

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

if a*b<0:
    if a > 0:
        d = a-b
    else:
        d = b-a
else:
    d = a-b
if d < 0:
    d = -d
if v > w:
    d2 = v-w
else:
    d2 = w-v
if  (v > w) and (d2*t < d):
    print("NO")
elif v <= w:
    print("NO")
else:
    print("YES")
Buggy python submission (verdict: Runtime Error):
a,b,c,d=map(int,input().split())
h=k-a
h2=h-b
if a>k:
  print(k)
else:
  if h<=b:
    print(a)
  else:
    print(a+h2*(-1))

Fixed submission:
a,b,c,k=map(int,input().split())
h=k-a
h2=h-b
if a>k:
  print(k)
else:
  if h<=b:
    print(a)
  else:
    print(a+h2*(-1))

Buggy python submission (verdict: Runtime Error):
a,b,c,d=map(int,input().split())
h=k-a
h2=h-b
if a>k:print(k)
else:if h<=b:print(a)
     else: print(a+h2*(-1))

Fixed submission:
a,b,c,k=map(int,input().split())
h=k-a
h2=h-b
if a>k:
  print(k)
else:
  if h<=b:
    print(a)
  else:
    print(a+h2*(-1))
Buggy python submission (verdict: Runtime Error):
import copy
n, m = map(int, input().split())
s = [int(x) for x in input().split()]
s2 = copy.deepcopy(s)
for _ in range(m):
    a, b = map(int, input().split())

    a1=s[a-1]
    b1=s[b-1]
    if a1<b1:
        p=(a1 in s2)
        if p == False:
            f=1
        else:
            s2.remove(a1)
    elif a1>b1:
        p=(a1 in s2)
        if p == False:
            f=1
        else:
            s2.remove(b1)
print(len(s2))

Fixed submission:
n, m = map(int, input().split())
h = list(map(int, input().split()))
D = dict()
for i in range(1, n+1):
    D[i] = h[i-1]
L = [1 for i in range(n)]
for _ in range(m):
    a, b =map(int, input().split())
    if D[a] > D[b]:
        L[b-1] = 0
    elif D[a] == D[b]:
        L[a-1] = 0
        L[b-1] = 0
    else:
        L[a-1] = 0
ans = 0
for e in L:
    ans += e
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
p=int(input())
k=100
o=0
j=0
while p>k:
    k1=k+(k*101)//10000
    o+=1
print(o)

Fixed submission:
def main(p):
    k=100
    a=0
    while k<p:
        k=(k+k*0.01)//1
        a+=1
    print(a)
p=int(input())   
main(p)
Buggy python submission (verdict: Runtime Error):
a,b=map(int,input().split())
if a=<b:
    print("unsafe")
else:
    print("safe")

Fixed submission:
a,b=map(int,input().split())
if a<=b:
    print("unsafe")
else:
    print("safe")

Buggy python submission (verdict: Runtime Error):
a,b=map(int,input().split)
if a=<b:
    print("unsafe")
else:
    print("safe")

Fixed submission:
a,b=map(int,input().split())
if a<=b:
    print("unsafe")
else:
    print("safe")
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
c=list(map(int,input().split()))
k=n
u=n
for i in range(1,n):
    p=(c.count(i))
    print(p)
    k=k-p
    u=u-1
    if k<2:
        break
while u>0:
    print(0)
    u=u-1

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
d = dict()
for i in range(n):
    d[i] = 0
for e in a:
    d[e-1] += 1
for i in range(n):
    print(d[i])

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
c=list(map(int,input().split()))
for i in range(1,n):
    print(c.count(i))
print(0)

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
d = dict()
for i in range(n):
    d[i] = 0
for e in a:
    d[e-1] += 1
for i in range(n):
    print(d[i])

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
c=list(map(int,input().split()))
for i in range(1,n+1):
    print(c.count(i))

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
d = dict()
for i in range(n):
    d[i] = 0
for e in a:
    d[e-1] += 1
for i in range(n):
    print(d[i])
Buggy python submission (verdict: Runtime Error):
s=int(input().split())
for i in s:
    if i==7:
        print("Yes")
print("No")

Fixed submission:
s=str(input())
h=1
for i in s:
    if i=='7':
        h=0
if h==0:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
import math
n=int(input())
g=0
for i in range(1,n+1):
    for j in range(1,n+1):
        for h in range(1,n+1):
            d=math.gcd(i,j)
            f=math.gcd(h,d)
            g=g+f
print(g)

Fixed submission:

import math
n=int(input())
g=0

for i in range(1,n+1):
    for j in range(1,n+1):
        d=math.gcd(i,j)
        for h in range(1,n+1):
            f=math.gcd(h,d)
            g=g+f
print(g)

Buggy python submission (verdict: Time Limit Exceeded):
import math
from functools import reduce
def gcd(*numbers):
    return reduce(math.gcd, numbers)
def gcd_list(numbers):
    return reduce(math.gcd, numbers)
n=int(input())
g=0
for i in range(1,n+1):
    for j in range(1,n+1):
        for h in range(1,n+1):
            f=gcd(i,j,h)
            g=g+f
print(g)

Fixed submission:

import math
n=int(input())
g=0

for i in range(1,n+1):
    for j in range(1,n+1):
        d=math.gcd(i,j)
        for h in range(1,n+1):
            f=math.gcd(h,d)
            g=g+f
print(g)
Buggy python submission (verdict: Runtime Error):
list1=[]
a,b=map(int,input().split())
d=a
e=a
if b==1:
    print(0)
else:
    for i in range(d):
        a=abs(a-b)
        list1.append(a)
        if e<a:
            break
    list2= sorted(list1, reverse=True)
    print(list2[-1])

Fixed submission:
n, k = map(int, input().split())
w = n%k
w2 = abs(w-k)
if w > w2:
    print(w2)
else:
    print(w)

Buggy python submission (verdict: Runtime Error):
list1=[]
a,b=map(int,input().split())
d=a
for i in range(d):
    e=a
    a=abs(a-b)
    list1.append(a)
    if e<a:
        break
list2= sorted(list1, reverse=True)
print(list2[-1])

Fixed submission:
n, k = map(int, input().split())
w = n%k
w2 = abs(w-k)
if w > w2:
    print(w2)
else:
    print(w)

Buggy python submission (verdict: Runtime Error):
list1=[]
a,b=map(int,input().split())
d=a
for i in range(d):
    a=abs(a-b)
    list1.append(a)
list2= sorted(list1, reverse=True)
print(list2[-1])

Fixed submission:
n, k = map(int, input().split())
w = n%k
w2 = abs(w-k)
if w > w2:
    print(w2)
else:
    print(w)
Buggy python submission (verdict: Runtime Error):
s1=input()
l=len(s1)
h=(l-1)//2
k1=s1[:h]
k2=s1[h+1:]
if k1==k2:
    a=(l-1)//2
    s3=s1[:a]
    if a%2!=0:
        h2=(a-1)//2
        j1=s3[:h2]
        j2=s3[h2+1:]
        if j1==j2:
            b=(l+3)/2
            b2=l-b+1
            s4=s1[:b2]
            h3=(b2-1)//2
            f1=s3[:h3]
            f2=s3[h3+1:]
            if f1==f2:
                print("Yes")
            else:
                print("No")
        else:
            print("No")
    else:
        h2=a/2
        j1=s3[:h2]
        j2=s3[h2+1:]
        if j1==j2:
            b=(l+3)/2
            b2=l-b+1
            s4=s1[:b2]
            h3=(b2-1)//2
            f1=s3[:h3]
            f2=s3[h3+1:]
            if f1==f2:
                print("Yes")
            else:
                print("No")
        else:
            print("No")
else:
    print("No")

Fixed submission:
s = list(input())
n = len(s)
flag = 0
for i in range(n//2):
    if s[i] != s[n-i-1]:
        flag = 1
if flag == 0:
    s2 = s[:(n-1)//2]
    n2 = len(s2)
    for i in range(n2//2):
        if s2[i] != s2[n2-i-1]:
            flag = 1
#print(n, n2, s, s2)
if flag == 0:
    if flag == 0:
        s2 = s[(n+3)//2-1:]
        n2 = len(s2)
    for i in range(n2//2):
        if s2[i] != s2[n2-i-1]:
            flag = 1
#print(s2)
if flag == 0:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
a,b,c=map(int,input().split())
if b!=0:
    k=a//(b+c)
    h=k*b
    t=a-b*k-c*k
    print(t+h)
else:
    print(0)

Fixed submission:
a,b,c=input()
if a==b==c:
    print("No")
else:
    print("Yes")
Buggy python submission (verdict: Time Limit Exceeded):
a,b,c=map(int,input().split())
l=[]
k=0
for i in range(a):
    for g in range(b):
        l.append("1")
    for g in range(c):
        l.append("2")
for j in range(a):
    if l==[]:
        k=0
        break
    elif l[j]== "1":
        k+=1
print(k)

Fixed submission:
n,a,b = map(int, input().split())
g = n//(a+b)
k = n-(a+b)*g
if k >= a:
    print(a+a*g)
else:
    print(a*g + k)
Buggy python submission (verdict: Runtime Error):
n, r = int(input())
if n >= 10:
    print(r)
else:
    print(r+100*(10-n))

Fixed submission:
n, r = map(int,input().split())
if n >= 10:
    print(r)
else:
    print(r+100*(10-n))
Buggy python submission (verdict: Runtime Error):
s, t = map(int,input().split())
print(t+s)

Fixed submission:
s,t = map(str,input().split())
print(t+s)
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import accumulate

n, k = map(int, input().split())
a = list(map(int, input().split()))
for _ in range(k):
   b = [0] * n
   for i in range(n):
      b[max(0, i-a[i])] += 1
      tmp = i + a[i] + 1
      if tmp < n:
         b[tmp] -= 1
   a = list(accumulate(b))
   if a == [n] * n:
      break

print(*a)


Fixed submission:
from itertools import accumulate

n, k = map(int, input().split())
a = list(map(int, input().split()))
for _ in range(k):
   b = [0] * n
   for i in range(n):
      b[max(0, i-a[i])] += 1
      tmp = i + a[i] + 1
      if tmp < n:
         b[tmp] -= 1
   a = list(accumulate(b))
   if a == [n] * n:
      break

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

def factorization(x):
   arr = []
   tmp = x
   for i in range(2, int(n**0.5)+1):
      if tmp % i == 0:
         cnt = 0
         while tmp % i == 0:
            cnt += 1
            tmp //= i
         arr.append([i, cnt])
   if tmp != 1:
      arr.append([tmp, cnt])
   if len(arr) == 0:
      arr.append([x, 1])
   return arr

if n == 1:
   print(0)
   exit()

ans = 0
for p, i in factorization(n):
   j = 0
   while i > j:
      j += 1
      i -= j
      ans += 1
print(ans)


Fixed submission:
n = int(input())

from collections import Counter

factors = []
i = 2
while n > 1:
   if n < i * i:
      factors.append(n)
      break
   while n % i == 0:
      factors.append(i)
      n //= i
   i += 1

ans = 0
for cnt in Counter(factors).values():
   i = 1
   while cnt >= i:
      cnt -= i
      i += 1
      ans += 1
print(ans)

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

def factorization(x):
   arr = []
   tmp = x
   for i in range(2, int(n**0.5+1)):
      if tmp % i == 0:
         cnt = 0
         while tmp % i == 0:
            tmp //= i
            cnt += 1
         arr.append([i, cnt])
   if tmp != 1:
      arr.append([i, cnt])
   if len(arr) == 0:
      arr.append([x, 1])
   return arr

if n == 1:
   print(0)
   exit()

ans = 0
for p, i in factorization(n):
   j = 0
   while i > j:
      j += 1
      i -= j
      ans += 1
print(ans)


Fixed submission:
n = int(input())

from collections import Counter

factors = []
i = 2
while n > 1:
   if n < i * i:
      factors.append(n)
      break
   while n % i == 0:
      factors.append(i)
      n //= i
   i += 1

ans = 0
for cnt in Counter(factors).values():
   i = 1
   while cnt >= i:
      cnt -= i
      i += 1
      ans += 1
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter

n = int(input())

def primes(x):
   is_prime = [True] * (x+1)
   is_prime[0] = False
   is_prime[1] = False
   for i in range(2, int(x**0.5)+1):
      if not is_prime[i]:
         continue
      for j in range(i*2, x+1, i):
         is_prime[j] = False
   return [i for i in range(x+1) if is_prime[i]]

pl = primes(int(n**0.5)+1)

def factorization(x):
   arr = []
   tmp = x
   while x > 1:
      for i in pl:
         if x % i == 0:
            x /= i
            arr.append(i)
            break
      if x == tmp and len(arr) == 0:
         return [x]
   return arr

ans = 0
for k, v in Counter(factorization(n)).items():
   i = 0
   while v > i:
      i += 1
      v -= i
      ans += 1
print(ans)


Fixed submission:
n = int(input())

from collections import Counter

factors = []
i = 2
while n > 1:
   if n < i * i:
      factors.append(n)
      break
   while n % i == 0:
      factors.append(i)
      n //= i
   i += 1

ans = 0
for cnt in Counter(factors).values():
   i = 1
   while cnt >= i:
      cnt -= i
      i += 1
      ans += 1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())
a = list(map(int, input().split()))

loop = 0
use = [0] * n
now = 0
use[now] = 1
x = [1]
for _ in range(n):
   next = a[now] - 1
   x.append(next+1)
   if use[next] == 0:
      use[next] = 1
      now = next
   else:
      break

y = []
while x.count(x[0]) == 1:
   tmp = x.pop(0)
   y.append(tmp)

x.pop(-1)

if k < len(y):
   kk = k % len(y)
   print(y[kk])
else:
   k -= len(y)
   kk = k % len(x)
   print(x[kk])


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

loop = 0
use = [0] * n
now = 0
use[now] = 1
x = [1]
for _ in range(n):
   next = a[now] - 1
   x.append(next+1)
   if use[next] == 0:
      use[next] = 1
      now = next
   else:
      break
loop = x.pop(-1)

tmp = x.index(loop)
y = x[:tmp]
x = x[tmp:]
#print(y, x)

if k < len(y):
   kk = k % len(y)
   print(y[kk])
else:
   k -= len(y)
   kk = k % len(x)
   print(x[kk])
Buggy python submission (verdict: Runtime Error):
from collections import Counter

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

r = []
for i, ai in enumerate(a):
   l.append(i+ai)
   r.append(i-ai)

ans = 0
b = Counter(r)
for i in l:
   ans += b.get(i, 0)

print(ans)


Fixed submission:
from collections import Counter

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

l = []
r = []
for i, ai in enumerate(a):
   l.append(i+ai)
   r.append(i-ai)

ans = 0
b = Counter(r)
for i in l:
   ans += b.get(i, 0)

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter

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

l = []
r = []
for i, ai in enumerate(a):
   l.append(i+ai)
   r.append(i-ai)

ans = 0
for i in l:
   ans += r.count(i)

print(ans)


Fixed submission:
from collections import Counter

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

l = []
r = []
for i, ai in enumerate(a):
   l.append(i+ai)
   r.append(i-ai)

ans = 0
b = Counter(r)
for i in l:
   ans += b.get(i, 0)

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))

ans = 0
for i in range(0, n):
   for j in range(i+1, n):
      if abs(i - j) == a[i] + a[j]:
         ans += 1

print(ans)


Fixed submission:
from collections import Counter

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

l = []
r = []
for i, ai in enumerate(a):
   l.append(i+ai)
   r.append(i-ai)

ans = 0
b = Counter(r)
for i in l:
   ans += b.get(i, 0)

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
s = input()

n = len(s)

ans = 0
for i in range(0, n-3):
   j = 4
   while i + j <= n:
      x = int(s[i:i+j])
      if x % 2019 == 0:
         ans += 1
         j += 4
      else:
         j += 1
print(ans)


Fixed submission:
s = input()[::-1] # reversed

cnt = [0] * 2019
cnt[0] = 1

num, d = 0, 1

for c in s:
   num += int(c) * d
   num %= 2019
   d *= 10
   d %= 2019
   cnt[num] += 1

ans = 0
for t in cnt:
   ans += t * (t - 1) // 2

print(ans)

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

n = len(s)
ans = 0
for i in range(4, n+1):
   for j in range(0, n-i+1):
      x = int(s[j:j+i])
      if x % 2019 == 0:
         ans += 1

print(ans)


Fixed submission:
s = input()[::-1] # reversed

cnt = [0] * 2019
cnt[0] = 1

num, d = 0, 1

for c in s:
   num += int(c) * d
   num %= 2019
   d *= 10
   d %= 2019
   cnt[num] += 1

ans = 0
for t in cnt:
   ans += t * (t - 1) // 2

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

edges = [[] for _ in range(n)]
for i in range(n-1):
   edges[i].append(i+1)
   edges[i+1].append(i)

edges[x-1].append(y-1)
edges[y-1].append(x-1)

def bfs(v):
   dist = [-1] * n
   dist[v] = 0
   visit = [v]
   c = 1
   while visit:
      next = []
      for i in visit:
         for j in edges[i]:
            if dist[j] == -1:
               dist[j] = c
               next.append(j)
      visit = next
      c += 1

   return dist

minpath = []
for i in range(n):
   minpath.append(bfs(i))

for k in range(1, n):
   ans = 0
   for i in range(n):
      for j in range(i+1, n):
         if minpath[i][j] == k:
            ans += 1
   print(ans)


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

edges = [[] for _ in range(n)]
for i in range(n-1):
   edges[i].append(i+1)
   edges[i+1].append(i)

edges[x-1].append(y-1)
edges[y-1].append(x-1)

def bfs(v):
   dist = [-1] * n
   dist[v] = 0
   visit = [v]
   c = 1
   while visit:
      next = []
      for i in visit:
         for j in edges[i]:
            if dist[j] == -1:
               dist[j] = c
               next.append(j)
      visit = next
      c += 1

   return dist

minpath = []
for i in range(n):
   minpath.extend(bfs(i))

from collections import Counter
cnt = Counter(minpath)

for k in range(1, n):
   print(cnt[k]//2)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))

from collections import Counter
c = Counter(a)

for i in range(n):
   c[a[i]] -= 1
   tmp = [x*(x-1)//2 for x in c.values()]
   print(sum(tmp))
   c[a[i]] += 1


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

from collections import Counter
c = Counter(a)
combi = {}
for k, v in c.items():
   combi[k] = v*(v-1)//2
sumc = sum(list(combi.values()))

for i in range(n):
   x = c[a[i]] - 1
   ans = sumc - combi[a[i]] + x*(x-1)//2
   print(ans)
Buggy python submission (verdict: Runtime Error):
a = []
for i in range(3):
   a.append([int(x) for x in input().split()])

n = int(input())
b = [int(input()) for _ in range(n)]

for i in range(n):
   for j in range(3):
      for k in range(3):
         if (b[i] == a[j][k]):
            a[j][k] = 0

tmp = [sum(a[i]) for i in range(3)]
if (min(tmp) == 0):
   print('Yes')
   exit(1)

for i in range(3):
   x = 0
   for j in range(3):
      x += a[j][i]
   if (x == 0):
      print('Yes')
      exit(1)

if (a[0][0] + a[1][1] + a[2][2] == 0):
   print('Yes')
elif (a[0][2] + a[1][1] + a[2][0] == 0):
   print('Yes')
else:
   print('No')


Fixed submission:
import sys

a = []
for i in range(3):
   a.append([int(x) for x in input().split()])

n = int(input())
b = [int(input()) for _ in range(n)]

for i in range(n):
   for j in range(3):
      for k in range(3):
         if (b[i] == a[j][k]):
            a[j][k] = 0

for i in range(3):
   x = 0
   for j in range(3):
      x += a[j][i]
   if (x == 0):
      print('Yes')
      sys.exit()

tmp = [sum(a[i]) for i in range(3)]
if (min(tmp) == 0):
   print('Yes')
elif (a[0][0] + a[1][1] + a[2][2] == 0):
   print('Yes')
elif (a[0][2] + a[1][1] + a[2][0] == 0):
   print('Yes')
else:
   print('No')

Buggy python submission (verdict: Runtime Error):
a = []
for i in range(3):
   a.append([int(x) for x in input().split()])

n = int(input())
b = [int(input()) for _ in range(n)]

for i in range(n):
   for j in range(3):
      for k in range(3):
         if (b[i] == a[j][k]):
            a[j][k] = 0

for i in range(3):
   sum = 0
   for j in range(3):
      sum += a[i][j]
   if (sum == 0):
      print('Yes')
      exit(1)

for i in range(3):
   sum = 0
   for j in range(3):
      sum += a[j][i]
   if (sum == 0):
      print('Yes')
      exit(1)

if (a[0][0] + a[1][1] + a[2][2] == 0):
   print('Yes')
elif (a[0][2] + a[1][1] + a[2][0] == 0):
   print('Yes')
else:
   print('No')


Fixed submission:
import sys

a = []
for i in range(3):
   a.append([int(x) for x in input().split()])

n = int(input())
b = [int(input()) for _ in range(n)]

for i in range(n):
   for j in range(3):
      for k in range(3):
         if (b[i] == a[j][k]):
            a[j][k] = 0

for i in range(3):
   x = 0
   for j in range(3):
      x += a[j][i]
   if (x == 0):
      print('Yes')
      sys.exit()

tmp = [sum(a[i]) for i in range(3)]
if (min(tmp) == 0):
   print('Yes')
elif (a[0][0] + a[1][1] + a[2][2] == 0):
   print('Yes')
elif (a[0][2] + a[1][1] + a[2][0] == 0):
   print('Yes')
else:
   print('No')
Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
x = [list(map(int, input().split())) for _ in range(m)]

t = [0] * n
for i in range(m):
   if(n > 1 and x[i][1] == 0):
      print(-1)
      exit()
   if(n > 1 and t[x[i][0]-1] > 0 and t[x[i][0]-1] != x[i][1]):
      print(-1)
      exit()

   t[x[i][0]-1] = x[i][1]

[print(t[i], end='') for i in range(m)]
print()


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

t = [-1] * n
for _ in range(m):
   s, c = map(int, input().split())
   s -= 1

   if (t[s] != -1 and t[s] != c):
      print(-1)
      exit()
   t[s] = c

if (n > 1):
   if (t[0] == 0):
      print(-1)
      exit()

   if (t[0] == -1):
      t[0] = 1

   for i in range(1, n):
      if (t[i] == -1):
         t[i] = 0

else:
   if (t[0] == -1):
      t[0] = 0

print(''.join(map(str, t)))
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())
a = list(map(int, input().split()))

a.sort()
p = []
for i in range(n):
   for j in range(i+1, n):
      p.append(a[i]*a[j])

p.sort()
print(p[k-1])


Fixed submission:
import numpy as np

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

a = np.array(a)
a.sort()

nega = a[a<0]
zero = a[a==0]
posi = a[a>0]

l = -10**18-1
r = 10**18+1
while r - l > 1:
   mid = (r+l)//2
   cnt = 0
   if mid >= 0:
      cnt += len(zero)*n
   cnt += a.searchsorted(mid//posi, side='right').sum()
   cnt += (n - a.searchsorted(-(-mid//nega), side='left')).sum()
   cnt -= np.count_nonzero(a*a <= mid)
   cnt //=2
   if cnt >= k:
      r = mid
   else:
      l= mid

print(r)