Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
import math
a,b,H,m = map(int,input().split())

import math

if m <= 15:
    by = b * math.sin(math.radians(90-(6*m)))
    bx = b * math.cos(math.radians(90-(6*m)))
elif m > 15 and m <= 30:
    by = b * math.sin(math.radians(6*(m-15)))
    bx = b * -(math.cos(math.radians(6*(m-15))))
elif m > 30 and m <= 45:
    by = b * -(math.sin(math.radians(90-((6*m)-180))))
    bx = b * -(math.cos(math.radians(90-((6*m)-180))))
else:
    by = b * -(math.sin(math.radians((6*m)-270)))
    bx = b * math.cos(math.radians((6*m)-270))
    
if 60*H+m <= 180:
    ay = a * math.sin(math.radians(90-(1/2*(60*H+m))))
    ax = a * math.cos(math.radians(90-(1/2*(60*H+m))))
elif 60*H+m > 180 and 60*H+m <= 360:
    ay = a * -(math.sin(math.radians((1/2*(60*H+m))-90)))
    ax = a * math.cos(math.radians((1/2*(60*H+m))-90))
elif 60*H+m > 360 and 60*H+M <= 540:
    ay = a * -(math.sin(math.radians(90-((1/2*(60*H+m)-180)))))
    ax = a * -(math.cos(math.radians(90-((1/2*(60*H+m)-180)))))
else:
    ay = a * math.sin(math.radians((1/2*(60*H+m)-270)))
    ax = a * -(math.cos(math.radians((1/2*(60*H+m)-270))))
    
ans = math.sqrt((ax-bx)**2 + (ay-by)**2)
print(ans)

Fixed submission:
import math
a,b,h,m = map(int,input().split())

k = 60*h + m

import math

if m <= 15:
    by = b * math.sin(math.radians(90-(6*m)))
    bx = b * math.cos(math.radians(90-(6*m)))
elif m > 15 and m <= 30:
    by = b * -(math.sin(math.radians(6*(m-15))))
    bx = b * math.cos(math.radians(6*(m-15)))
elif m > 30 and m <= 45:
    by = b * -(math.sin(math.radians(90-((6*m)-180))))
    bx = b * -(math.cos(math.radians(90-((6*m)-180))))
else:
    by = b * math.sin(math.radians((6*m)-270))
    bx = b * -(math.cos(math.radians((6*m)-270)))
    
if k <= 180:
    ay = a * math.sin(math.radians(90-((1/2)*k)))
    ax = a * math.cos(math.radians(90-((1/2)*k)))
elif k > 180 and k <= 360:
    ay = a * -(math.sin(math.radians(((1/2)*k)-90)))
    ax = a * math.cos(math.radians(((1/2)*k)-90))
elif k > 360 and k <= 540:
    ay = a * -(math.sin(math.radians(90-(((1/2)*k)-180))))
    ax = a * -(math.cos(math.radians(90-(((1/2)*k)-180))))
else:
    ay = a * math.sin(math.radians(((1/2)*k)-270))
    ax = a * -(math.cos(math.radians(((1/2)*k)-270)))

ans = math.sqrt((ax-bx)**2 + (ay-by)**2)
print('{:.11f}'.format(ans))
Buggy python submission (verdict: Runtime Error):
a,b,n = map(int,input().split())

x = math.floor(a*n/b)-( a*math.floor(n/b))
y = math.floor(a*b/b)-( a*math.floor(b/b))
z = math.floor(a*(b-1)/b)-( a*math.floor((b-1)/b))

if b == 1:
    print(0)
elif n < b:
    print(x)
else:
    print(z)

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

x = math.floor(a*n/b)-( a*math.floor(n/b))
y = math.floor(a*b/b)-( a*math.floor(b/b))
z = math.floor(a*(b-1)/b)-( a*math.floor((b-1)/b))

if b == 1:
    print(0)
elif n < b:
    print(x)
else:
    print(z)

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

if b == 1:
    print(0)
elif n < b:
    print(math.floor(a*n/b)+math.floor(n/b))
else:
    print(math.floor(a*(b-1)/b)+math.floor((b-1)/b))

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

x = math.floor(a*n/b)-( a*math.floor(n/b))
y = math.floor(a*b/b)-( a*math.floor(b/b))
z = math.floor(a*(b-1)/b)-( a*math.floor((b-1)/b))

if b == 1:
    print(0)
elif n < b:
    print(x)
else:
    print(z)
Buggy python submission (verdict: Runtime Error):
n = int(input())
s = 0
for  i  in range(1,N+1):
  if i % 3 != 0 and i % 5 != 0:
    s += i
print(s)

Fixed submission:
n = int(input())
s = 0
for  i  in range(1,n+1):
  if i % 3 != 0 and i % 5 != 0:
    s += i
print(s)
Buggy python submission (verdict: Time Limit Exceeded):
k = int(input())
import math
from functools import reduce

ans = 0

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

for i in range(1,k+1):
    for j in range(1,k+1):
        for s in range(1,k+1):
            ans += gcd(i,j,s)
            
print(ans)

Fixed submission:
from math import gcd

n = int(input())

ans = 0

for i in range(1,n+1):
  for j in range(1,n+1):
    for k in range(1,n+1):
      ans += gcd(gcd(i,j),k)
      
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import copy
n = int(input())
a = list(map(int,input().split()))
m = copy.copy(a)


k = 1
s = 0
count = 0

if k in a:
    s = a.index(k)
    a = a[s:]
    k += 1

if k in a:
    s = a.index(k)
    a = a[s:]
    k += 1


for i in range(len(a)):
    if k in a:
        s = a.index(k)
        a = a[s:]
        k += 1
        count += 1
    else:
        break

if 1 in m:
    print(n-(k-1))
else:
    print(-1)
 

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
 
j=1
for i in range(N):
    if j==A[i]:
        j+=1
 
if j==1:
  print(-1)
else:
  print(N-j+1)

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


k = 1
s = 0
count = 0


for i in range(len(a)):
    if k in a:
        s = a.index(k)
        a = a[s:]
        k += 1
        count += 1
    else:
        break

if k == 1:
    print(-1)
else:
    print(n-(k-1))

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
 
j=1
for i in range(N):
    if j==A[i]:
        j+=1
 
if j==1:
  print(-1)
else:
  print(N-j+1)

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

k = 1
s = 0
count = 0


for i in range(n):
    if k in a:
        s = a.index(k)
        a = a[s:]
        k += 1
        count += 1
    else:
        break

if k == 1:
    print(-1)
else:
    print(n-(k-1))

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
 
j=1
for i in range(N):
    if j==A[i]:
        j+=1
 
if j==1:
  print(-1)
else:
  print(N-j+1)

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

k = 1
s = 0
count = 0


for i in range(n):
    if k in a:
        s = a.index(k)
        a = a[s:]
        k += 1
        count += 1
    else:
        break

if 1 in m:
    print(n-(k-1))
else:
    print(-1)

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
 
j=1
for i in range(N):
    if j==A[i]:
        j+=1
 
if j==1:
  print(-1)
else:
  print(N-j+1)

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

k = 1
s = 0
count = 0


for i in range(n):
    if k in a:
        s = a.index(k)
        a = a[s:]
        k += 1

if 1 in m:
    print(n-(k-1))
else:
    print(-1)

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
 
j=1
for i in range(N):
    if j==A[i]:
        j+=1
 
if j==1:
  print(-1)
else:
  print(N-j+1)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a=list(map(int,input().split()))

for i in range(1,n+1):
    print(a.index(i)+1)

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

s=sorted(range(len(a)), key=lambda k: a[k])

for i in range(n):
    print(s[i]+1)
Buggy python submission (verdict: Runtime Error):
def trial_division(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f = f+2
    if n!= 1:  a.append(n)
    
    return a

import math
 
A,B = map(int,input().split())
 
g = math.gcd(A,B)
 
L = trial_division(g)
 
D = {}
 
for i in L :
    if i not in D :
        D[i] = 1
 
print(len(D)+1)

Fixed submission:
def trial_division(n):
    a = []  
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2   
    if n != 1: a.append(n)

    return a

from fractions import gcd

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

g = gcd(A,B)

L = trial_division(g)

D = {}

for i in L :
    if i not in D :
        D[i] = 1

print(len(D)+1)

Buggy python submission (verdict: Runtime Error):
def trial_division(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1: a.append(n)
        
    return a

import math
a,b = map(int,input().split())
g =math.gcd(a,b)

L = trial_division(g)

D = {}

#print(L)

for i in L:
    if i not in D:
        D[i] = 1
print(len(D)+1)

Fixed submission:
def trial_division(n):
    a = []  
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2   
    if n != 1: a.append(n)

    return a

from fractions import gcd

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

g = gcd(A,B)

L = trial_division(g)

D = {}

for i in L :
    if i not in D :
        D[i] = 1

print(len(D)+1)

Buggy python submission (verdict: Runtime Error):
def trial_division(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1: a.append(n)
        
    return a

import math
a,b = map(int,input().split())
g =math.gcd(a,b)

L = trial_division(g)

D = {}

print(L)

for i in L:
    if i not in D:
        D[i] = 1
print(len(D)+1)

Fixed submission:
def trial_division(n):
    a = []  
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2   
    if n != 1: a.append(n)

    return a

from fractions import gcd

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

g = gcd(A,B)

L = trial_division(g)

D = {}

for i in L :
    if i not in D :
        D[i] = 1

print(len(D)+1)
Buggy python submission (verdict: Runtime Error):
n,k,q = map(int,input().split())
a=[int(input()) for i in range(q)]

m = [k-len(a)] * n
for i in a:
    m[a[i]-1] = m[a[i]-1] + 1

for j in range(n):
    if m[j] <= 0:
        print("No")
    else:
        print("Yes")

Fixed submission:
n,k,q = map(int,input().split())
a=[int(input()) for i in range(q)]

m = [k-q] * n
for i in range(q):
    m[a[i]-1] = m[a[i]-1] + 1
    
for j in range(n):
    if m[j] <= 0:
        print("No")
    else:
        print("Yes")
Buggy python submission (verdict: Time Limit Exceeded):
n,m = map(int,input().split())
a =list(map(int,input().split()))
b = sorted(a,reverse=True)


for i in range(m):
    max_b = b[0]
    b.pop(0)
    b.append(max_b//2)
    b = sorted(b,reverse = True)
print(sum(b))

Fixed submission:
# -*- coding: utf-8 -*-
import heapq

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

# solve
ans = [-a for a in A]
heapq.heapify(ans)
for i in range(M):
    tmp = heapq.heappop(ans) * (-1) // 2
    heapq.heappush(ans, tmp * (-1))
ans = [-a for a in ans]

# output
print(sum(ans))

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline

n,m = map(int,input().split())
a =list(map(int,input().split()))
b = sorted(a,reverse=True)


for i in range(m):
    max_b = b[0]
    b.pop(0)
    b.append(max_b//2)
    b = sorted(b,reverse = True)
print(sum(b))

Fixed submission:
# -*- coding: utf-8 -*-
import heapq

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

# solve
ans = [-a for a in A]
heapq.heapify(ans)
for i in range(M):
    tmp = heapq.heappop(ans) * (-1) // 2
    heapq.heappush(ans, tmp * (-1))
ans = [-a for a in ans]

# output
print(sum(ans))

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


for i in range(m):
    max_b = b[0]
    b.pop(0)
    b.append(max_b//2)
    b = sorted(b,reverse = True)
print(sum(b))

Fixed submission:
# -*- coding: utf-8 -*-
import heapq

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

# solve
ans = [-a for a in A]
heapq.heapify(ans)
for i in range(M):
    tmp = heapq.heappop(ans) * (-1) // 2
    heapq.heappush(ans, tmp * (-1))
ans = [-a for a in ans]

# output
print(sum(ans))
Buggy python submission (verdict: Runtime Error):
N = int(input())
s = [''.join(sorted(input())) for _ in range(N)]
 
from collections import Counter
counter = Counter(s)
ans = sum(n*(n-1)//2 for n in counter.values())
print(ans)

Fixed submission:
a,b=map(int,input().split())
X = int(a + b)
Y = int(a - b)
Z = int(a * b)
ans = [X,Y,Z]
print(max(ans))

Buggy python submission (verdict: Runtime Error):
a,b=map(int,input().split())
X = int(a + b)
Y = int(a - b)
Z = int(a * b)
print(max[X,Y,Z])

Fixed submission:
a,b=map(int,input().split())
X = int(a + b)
Y = int(a - b)
Z = int(a * b)
ans = [X,Y,Z]
print(max(ans))
Buggy python submission (verdict: Runtime Error):
N = int(input())
S=list(input().split())
Slist = [0] * N
for i in range(N):
    Slist[i] = sorted(S[i])
def get_unique_list(seq):
    seen = []
    return [x for x in seq if x not in seen and not seen.append(x)]
 
 if len(Slist) - len(get_unique_list(Slist)) == 0:
    print(0)
else:
    print(len(Slist) - len(get_unique_list(Slist)) + 1)

Fixed submission:
from collections import Counter
 
N = int(input())
 
ans = {}
answer = 0
for _ in range(N):
    s = "".join(sorted(input()))
 
    if s not in ans:
        ans[s] = 0
 
    else:
        ans[s] += 1
        answer += ans[s]
 
print(answer)

Buggy python submission (verdict: Runtime Error):
Y = list(input())
N = len(Y)-1
S = [0] * N
S=list[1:N]
Slist = [0] * N
for i in range(N):
    Slist[i] = sorted(S[i])
def get_unique_list(seq):
    seen = []
    return [x for x in seq if x not in seen and not seen.append(x)]

if len(Slist) - len(get_unique_list(Slist)) == 0:
    print(0)
else:
    print(len(Slist) - len(get_unique_list(Slist)) + 1)

Fixed submission:
from collections import Counter
 
N = int(input())
 
ans = {}
answer = 0
for _ in range(N):
    s = "".join(sorted(input()))
 
    if s not in ans:
        ans[s] = 0
 
    else:
        ans[s] += 1
        answer += ans[s]
 
print(answer)

Buggy python submission (verdict: Runtime Error):
N = int(input())
S=list(input() for k in range(N)
Slist = [0] * N
for i in range(N):
    Slist[i] = sorted(S[i])
def get_unique_list(seq):
    seen = []
    return [x for x in seq if x not in seen and not seen.append(x)]

if len(Slist) - len(get_unique_list(Slist)) == 0:
    print(0)
else:
    print(len(Slist) - len(get_unique_list(Slist)) + 1)

Fixed submission:
from collections import Counter
 
N = int(input())
 
ans = {}
answer = 0
for _ in range(N):
    s = "".join(sorted(input()))
 
    if s not in ans:
        ans[s] = 0
 
    else:
        ans[s] += 1
        answer += ans[s]
 
print(answer)

Buggy python submission (verdict: Runtime Error):
N = int(input())
S=list(input().split())
Slist = [0] * N
for i in range(N):
    Slist[i] = sorted(S[i])
def get_unique_list(seq):
    seen = []
    return [x for x in seq if x not in seen and not seen.append(x)]

if len(Slist) - len(get_unique_list(Slist)) == 0:
    print(0)
else:
    print(len(Slist) - len(get_unique_list(Slist)) + 1)

Fixed submission:
from collections import Counter
 
N = int(input())
 
ans = {}
answer = 0
for _ in range(N):
    s = "".join(sorted(input()))
 
    if s not in ans:
        ans[s] = 0
 
    else:
        ans[s] += 1
        answer += ans[s]
 
print(answer)

Buggy python submission (verdict: Runtime Error):
N = int(input())
S=list(input().split())
Slist = [0] * N
for i in range(N):
    Slist[i] = sorted(S[i])
def get_unique_list(seq):
    seen = []
    return [x for x in seq if x not in seen and not seen.append(x)]
print(len(Slist) - len(get_unique_list(Slist)) + 1)

Fixed submission:
from collections import Counter
 
N = int(input())
 
ans = {}
answer = 0
for _ in range(N):
    s = "".join(sorted(input()))
 
    if s not in ans:
        ans[s] = 0
 
    else:
        ans[s] += 1
        answer += ans[s]
 
print(answer)
Buggy python submission (verdict: Runtime Error):
n,k = map(int,input().split())
s = input()
print(s[:k-1]+s[k-1].lower+s[k:])

Fixed submission:
n,k = map(int,input().split())
s = input()
print(s[:k-1]+s[k-1].lower()+s[k:])

Buggy python submission (verdict: Runtime Error):
n,k = map(int,input().split())
s = input()
print(s[:k-1]+s[k-1].lower+s[k:])

Fixed submission:
n,k = map(int,input().split())
s = input()
print(s[:k-1]+s[k-1].lower()+s[k:])
Buggy python submission (verdict: Runtime Error):
import math
N = int(input())
print((math.factoral(N))%(10**9 + 7))


Fixed submission:
import math
n=int(input())
print(math.factorial(n)%(10**9+7))
Buggy python submission (verdict: Runtime Error):
N,L = map(int,input().split())
S = sorted(list(input() for i in range(N)))
print(*s,sep="")

Fixed submission:
N,L = map(int,input().split())
S = sorted(list(input() for i in range(N)))
print(*S,sep="")
Buggy python submission (verdict: Runtime Error):
nums = list(map(int,input().split()))	
if nums[-1]==3:
  print("bon")
elif nums[-1]==0 or nums[-1]==1 or nums[-1]==6 or nums[-1]== :
  print("pon")
else :
  print("hon")


Fixed submission:
s=list(input())

num=int(s[-1])
if num==3:
  print("bon")
elif num==0 or num==1 or num==6 or num==8:
  print("pon")
else :
  print("hon")
Buggy python submission (verdict: Runtime Error):
n, k = map(int, input().split())
A_list  =[]
nuske = np.zeros(n)
import numpy as np
for _ in range(k): 
    d = input()
    a = list(map(int, input().split()))
    for i in a:
        nuske[ i-1] +=1

p =0

for i in range(len(nuske)):
    if nuske[i] ==0:
        p+=1

print(p)


Fixed submission:
n, k = map(int, input().split())
A_list  =[]
import numpy as np
nuske = np.zeros(n)

for _ in range(k): 
    d = input()
    a = list(map(int, input().split()))
    for i in a:
        nuske[ i-1] +=1

p =0

for i in range(len(nuske)):
    if nuske[i] ==0:
        p+=1

print(p)

Buggy python submission (verdict: Runtime Error):
n, k = map(int, input().split())
d_list = []
A_list  =[]
nuske = np.zeros(n)
print(nuske)
import numpy as np
for _ in range(k): 
    d = input()
    a = list(map(int, input().split()))
    for i in a:
        nuske[i-1] +=1

p =0

for i in range(len(nuske)):
    if nuske[i] ==0:
        p+=1

print(p)


Fixed submission:
n, k = map(int, input().split())
A_list  =[]
import numpy as np
nuske = np.zeros(n)

for _ in range(k): 
    d = input()
    a = list(map(int, input().split()))
    for i in a:
        nuske[ i-1] +=1

p =0

for i in range(len(nuske)):
    if nuske[i] ==0:
        p+=1

print(p)
Buggy python submission (verdict: Runtime Error):

 k = int(input())

 s = input()


if k < len(s):  ##以上の時
    print(s[:k] + "...")
else:
    print(s)

Fixed submission:
k = int(input())

s = input()


if k < len(s):  ##以上の時
    print(s[:k] + "...")
else:
    print(s)
Buggy python submission (verdict: Runtime Error):
S = input()
T = input()

if (T[:-1] == S) && ( len(S) = len(T) - 1):
  return "Yes"
else:
  return "No"


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

if (T[:-1] == S) and (len(S) + 1 == len(T)):
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
s, w = map(int, input(),split())
if w > s:
  print("unsafe")
else:
  print("safe")

Fixed submission:
s, w = map(int, input().split())
if w >= s:
  print("unsafe")
else:
  print("safe")
Buggy python submission (verdict: Runtime Error):
s = input()
for i in range(len(s)):
  s[i] = 'x'
print(s)  

Fixed submission:
s = input()
print("x"*len(s))
Buggy python submission (verdict: Runtime Error):
n = int(input())
s, t = map(str, input().split())
a = []
for i in range(n):
  a = a.append(s[i])  
  a = a.append(t[i])  

print("".join(a))  

Fixed submission:
n = int(input())
s, t = map(str, input().split())
a = ''
for i in range(n):
  a += s[i] + t[i]
print(a)

Buggy python submission (verdict: Runtime Error):
n = int(input())
s, t = map(str, input().split())
for i in range(n):
  a = [].append(s[i])  
  a.append(t[i])
print("".join(a))  
  

Fixed submission:
n = int(input())
s, t = map(str, input().split())
a = ''
for i in range(n):
  a += s[i] + t[i]
print(a)
Buggy python submission (verdict: Time Limit Exceeded):
import math
kai = int(input())
for x in range(-1000,kai):
    for y in range(-1,kai):
        if x**5 - y**5 == kai:
            print(x,y)
    

Fixed submission:
num = int(input())
for i in range(-128,128):
    for j in range(-128,128):
        if i ** 5 - j **5 == num:
            print(i,j)
            exit()
Buggy python submission (verdict: Runtime Error):
R = int(input())
en = 2 * R 3.14
print(en)

Fixed submission:
# coding: utf-8
# Your code here!
import math
R = int(input())
en = 2 * math.pi * R
print(en)
Buggy python submission (verdict: Runtime Error):
count = int(input())
line = input().split()
n = line[0]
m = line[1]
lis = []
for i in range(2):
    lis.append(n[i])
    lis.append(m[i])

for j in lis:
    print(j,end = "")

Fixed submission:
# coding: utf-8
# Your code here!
count = int(input())
line = input().split()
n = line[0]
m = line[1]
lis = []
for i in range(len(n)):
    lis.append(n[i])
    lis.append(m[i])

for j in lis:
    print(j,end = "")
Buggy python submission (verdict: Runtime Error):
import math
r = int(input())
print(2 * math.pi r)

Fixed submission:
import math
r = int(input())
print(2 * math.pi * r)
Buggy python submission (verdict: Time Limit Exceeded):
def main():
    N = int(input())
    A = list(map(int, input().split()))
    for i in range(N):
        print(A.count(i+1))
main()

Fixed submission:
N = int(input())
A = list(map(int, input().split()))
bukaninzu_list = N * [0]
for i in range(N-1):
    bukaninzu_list[A[i]-1] += 1

for bukaninzu in bukaninzu_list:    
    print(bukaninzu)

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

Fixed submission:
N = int(input())
A = list(map(int, input().split()))
bukaninzu_list = N * [0]
for i in range(N-1):
    bukaninzu_list[A[i]-1] += 1

for bukaninzu in bukaninzu_list:    
    print(bukaninzu)

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 = list(map(int, input().split()))
bukaninzu_list = N * [0]
for i in range(N-1):
    bukaninzu_list[A[i]-1] += 1

for bukaninzu in bukaninzu_list:    
    print(bukaninzu)

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

bukaninzu_list = []
for i in range(N):
    bukaninzu_list.append(A.count(i+1))
    
for bukaninzu in bukaninzu_list:
    print(bukaninzu)

Fixed submission:
N = int(input())
A = list(map(int, input().split()))
bukaninzu_list = N * [0]
for i in range(N-1):
    bukaninzu_list[A[i]-1] += 1

for bukaninzu in bukaninzu_list:    
    print(bukaninzu)
Buggy python submission (verdict: Time Limit Exceeded):
import fractions
total = 0
K = int(input())
for i in range(1, K+1):
    for j in range(1, K+1):
        ans2 = fractions.gcd(i, j)
        for k in range(1, K+1):
            ans3 = fractions.gcd(ans2, k)
            #print(i, j, k, ans3)
            total += ans3
print(total)

Fixed submission:
import math
total = 0
K = int(input())
for i in range(1, K+1):
    for j in range(1, K+1):
        ans2 = math.gcd(i, j)
        for k in range(1, K+1):
            ans3 = math.gcd(ans2, k)
            #print(i, j, k, ans3)
            total += ans3
print(total)