Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
import itertools
import numpy as np

N = int(input())
X = []
Y = []
for i in range(N):
    x, y = list(map(int, input().split()))
    X.append(x)
    Y.append(y)

lst = []
for I in list(itertools.permutations(range(N))):
    kyori = 0
    for i in range(N-1):
        kyori = kyori + ((X[I[i]]-X[I[i+1]])**2 +
                         (Y[I[i]]-Y[I[i+1]])**2) ** 0.5
    lst.append(kyori)

print(np.average(lst))

Fixed submission:
import itertools
import numpy as np

N = int(input())
X = []
Y = []
for i in range(N):
    x, y = list(map(int, input().split()))
    X.append(x)
    Y.append(y)

lst = []
for I in list(itertools.permutations(range(N))):
    kyori = 0
    for i in range(N-1):
        kyori = kyori + ((X[I[i]]-X[I[i+1]])**2 +
                         (Y[I[i]]-Y[I[i+1]])**2) ** 0.5
    lst.append(kyori)

print(np.average(lst))
Buggy python submission (verdict: Runtime Error):
from collections import deque

n = int(input())
a = deque(list(range(1,n,1)))
a.appendleft(n)

c = 0
for i in range(n):
	c += a[i]%(i+1)
print(c)

Fixed submission:
print((lambda n: n*(n-1)//2)(int(input())))
Buggy python submission (verdict: Runtime Error):
import numpy as np

def prime_decomposition(n):
  i = 2
  t = []
  while i * i <= n:
    while n % i == 0:
      n /= i
      t.append(i)
    i += 1
  if n > 1:
    t.append(n)
  return t

def get_binary(arr):
	lim = 10**9
	a = np.prod(arr[:-1])
	c = 0
	b = arr[-1]
	while a > lim:
		c+=1
		a=np.prod(arr[c:-1])
		tmp = [arr[-1]] + arr[:c]
		b=np.prod(tmp)
		if b > lim:
			return -1,-1
	return a,b

lim = 10**9
S = int(input())
t = prime_decomposition(S)
a = 1
ta = [0,0]
x1,x2,x3,y1,y2,y3 = 0,0,0,0,0,0
if len(t) != 1:
	x2,y3 = get_binary(t)
while max(t) >= lim or max(ta) >= lim or len(t) == 1 or (x2 == -1 and y3 == -1) or (x3 == -1 or y2 == -1):
	a+= S//(10**(len(str(S)) - 9))
	t = prime_decomposition(S+a)
	ta = prime_decomposition(a)
	if len(t) != 1:
		x2,y3 = get_binary(t)
	else:
		x2,y3 = -1,-1
	if len(ta) != 1:
		x3,y2 = get_binary(ta)
	else:
		x3,y2 = -1,-1


print("%d %d %d %d %d %d" % (x1,y1,x2,y2,x3,y3))

Fixed submission:
S = int(input())
lim = 10**9
x1,y1 = 0,0
x2,y2 = 10**9, 1
x3 = (lim-S%lim)%lim
y3 = (S+x3)//lim
print("%d %d %d %d %d %d" % (x1,y1,x2,y2,x3,y3))

Buggy python submission (verdict: Runtime Error):
import numpy as np

def prime_decomposition(n):
  i = 2
  t = []
  while i * i <= n:
    while n % i == 0:
      n /= i
      t.append(i)
    i += 1
  if n > 1:
    t.append(n)
  return t

def get_binary(arr):
	lim = 10**9
	a = np.prod(arr[:-1])
	c = 0
	b = arr[-1]
	while a > lim:
		c+=1
		a=np.prod(arr[c:-1])
		tmp = [arr[-1]] + arr[:c]
		b=np.prod(tmp)
		if b > lim:
			return -1,-1
	return a,b

lim = 10**9
S = int(input())
t = prime_decomposition(S)
a = 1
ta = [0,0]
x1,x2,x3,y1,y2,y3 = 0,0,0,0,0,0
x2,y3 = get_binary(t)
while max(t) >= lim or max(ta) >= lim or len(t) == 1 or (x2 == -1 and y3 == -1) or (x3 == -1 or y2 == -1):
	a+= S//(10**(len(str(S)) - 9))
	t = prime_decomposition(S-a)
	ta = prime_decomposition(a)
	x2,y3 = get_binary(t)
	x3,y2 = get_binary(ta)



print("%d %d %d %d %d %d" % (x1,y1,x2,y2,x3,y3))

Fixed submission:
S = int(input())
lim = 10**9
x1,y1 = 0,0
x2,y2 = 10**9, 1
x3 = (lim-S%lim)%lim
y3 = (S+x3)//lim
print("%d %d %d %d %d %d" % (x1,y1,x2,y2,x3,y3))

Buggy python submission (verdict: Runtime Error):
import numpy as np

def prime_decomposition(n):
  i = 2
  t = []
  while i * i <= n:
    while n % i == 0:
      n /= i
      t.append(i)
    i += 1
  if n > 1:
    t.append(n)
  return t

def get_binary(arr):
	lim = 10**9
	a = np.prod(arr[:-1])
	c = 0
	b = arr[-1]
	while a > lim or b > lim:
		c+=1
		a=np.prod(arr[c:-1])
		b = arr[-1]
		for i in range(c):
			b = b*arr[i]
	return a,b

lim = 10**9
S = int(input())
t = prime_decomposition(S)
a = 1
ta = [0]

while max(t) >= lim or max(ta) >= lim or len(t) == 1:
	a*= S//(10**(len(str(S)) - 8))
	t = prime_decomposition(S-a)
	ta = prime_decomposition(a)

x1,x2,x3,y1,y2,y3 = 0,0,0,0,0,0

x1,y1 = 0,0
x2,y3 = get_binary(t)
x3,y2 = get_binary(ta)

print("%d %d %d %d %d %d" % (x1,y1,x2,y2,x3,y3))

Fixed submission:
S = int(input())
lim = 10**9
x1,y1 = 0,0
x2,y2 = 10**9, 1
x3 = (lim-S%lim)%lim
y3 = (S+x3)//lim
print("%d %d %d %d %d %d" % (x1,y1,x2,y2,x3,y3))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

a = []
for i in range(n):
	a.append(int(input()))	

for i in range(n):
	print(max(a[:i]+a[i+1:]))

Fixed submission:
import collections

n = int(input())

a = []
for i in range(n):
	a.append(int(input()))

b=sorted(a,reverse=True)
c=collections.Counter(a)
if c[b[0]] > 1:
	for i in range(n):
		print(b[0])
else:
	for i in range(n):
		if a[i] == b[0]:
			print(b[1])
		else:
			print(b[0])
Buggy python submission (verdict: Time Limit Exceeded):
import random
 
n = int(input())
a = [int(i) for i in input().split()]
 
rc = 0
while rc != 1000:
	c = 0
	for i in range(len(a)-1):
		if a[i] != int(bin(a[i-1]^a[i+1]),0):
			c=1
			random.shuffle(a)
			rc+=1
			break
	if c==0:
		if a[-1] != int(bin(a[0]^a[-2]),0):
			random.shuffle(a)
			rc+=1
		else:
			print("Yes")
			exit()
print("No")

Fixed submission:
n = int(input())
a = [int(i) for i in input().split()]
sum = 0
for i in a:
	sum^=i
if sum == 0:
	print("Yes")
else:
	print("No")

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = [int(i) for i in input().split()]
a.sort()
xor = []
for i in range(len(a)):
	for k in range(i,len(a)):
		xor.append(int(bin(a[i]^a[k]),0))
xor = list(set(xor))
for i in range(len(a)):
	if i not in xor:
		print("No")
		exit()
print("Yes")

Fixed submission:
n = int(input())
a = [int(i) for i in input().split()]
sum = 0
for i in a:
	sum^=i
if sum == 0:
	print("Yes")
else:
	print("No")

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = [int(i) for i in input().split()]
xor = []
for i in range(len(a)):
	for k in range(i,len(a)):
		xor.append(int(bin(a[i]^a[k]),0))
for i in a:
	if i not in xor:
		print("No")
		exit()
print("Yes")

Fixed submission:
n = int(input())
a = [int(i) for i in input().split()]
sum = 0
for i in a:
	sum^=i
if sum == 0:
	print("Yes")
else:
	print("No")

Buggy python submission (verdict: Time Limit Exceeded):
import itertools
n = int(input())
a = [int(i) for i in input().split()]

p = list(itertools.permutations(a,len(a)))
y = 0
for l in p:
	c = 0
	for i in range(len(l)-1):
		if l[i] != int(bin(l[i-1]^l[i+1]),0):
			c=1
			break
	if c==0:
		if l[-1] == int(bin(l[0]^l[-2]),0):
			y=1
			break
			
if y==1:
	print("Yes")
else:
	print("No")

Fixed submission:
n = int(input())
a = [int(i) for i in input().split()]
sum = 0
for i in a:
	sum^=i
if sum == 0:
	print("Yes")
else:
	print("No")
Buggy python submission (verdict: Time Limit Exceeded):
L,R = map(int,input().split())
 
ans = 2019
m = []
for i in range(L,R+1):
	m.append(i%2019)

for i in range(len(m)):
	for j in range(i+1,len(m)):
		tmp = (m[i]*m[j])%2019
		if ans> tmp:
			ans = tmp
		if tmp == 0:
			break				
print(ans)

Fixed submission:
L,R = map(int,input().split())
 
ans = 2019
m = []
l = R-L+1
if l < 2019:
	for i in range(L,R+1):
		m.append(i%2019)
else:
	for i in range(L,L+2019):
		m.append(i%2019)

for i in range(len(m)):
	for j in range(i+1,len(m)):
		tmp = (m[i]*m[j])%2019
		if ans> tmp:
			ans = tmp
		if tmp == 0:
			break				
print(ans)

Buggy python submission (verdict: Runtime Error):
L,R = map(int,input().split())
 
ans = 2019
m = []
for i in range(L,R+1):
	m.append(i%2019)

for i in range(len(m)):
	for j in range(i+1,len(m)):
		tmp = (m[i]*m[j])%2019
		if ans> tmp:
			ans = tmp
		if tmp = 0:
			break				
print(ans)

Fixed submission:
L,R = map(int,input().split())
 
ans = 2019
m = []
l = R-L+1
if l < 2019:
	for i in range(L,R+1):
		m.append(i%2019)
else:
	for i in range(L,L+2019):
		m.append(i%2019)

for i in range(len(m)):
	for j in range(i+1,len(m)):
		tmp = (m[i]*m[j])%2019
		if ans> tmp:
			ans = tmp
		if tmp == 0:
			break				
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
L,R = map(int,input().split())
 
ans = 2019
m = []
for i in range(L,R+1):
	m.append(i%2019)
 
for i in range(len(m)):
	for j in range(i+1,len(m)):
		tmp = (m[i]*m[j])%2019
		if ans> tmp:
			ans = tmp
print(ans)

Fixed submission:
L,R = map(int,input().split())
 
ans = 2019
m = []
l = R-L+1
if l < 2019:
	for i in range(L,R+1):
		m.append(i%2019)
else:
	for i in range(L,L+2019):
		m.append(i%2019)

for i in range(len(m)):
	for j in range(i+1,len(m)):
		tmp = (m[i]*m[j])%2019
		if ans> tmp:
			ans = tmp
		if tmp == 0:
			break				
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
L,R = map(int,input().split())

ans = 2019

for i in range(L,R+1):
	for j in range(i+1,R+1):
		tmp = (i*j)%2019
		if ans>tmp:
			ans = tmp
print(ans)

Fixed submission:
L,R = map(int,input().split())
 
ans = 2019
m = []
l = R-L+1
if l < 2019:
	for i in range(L,R+1):
		m.append(i%2019)
else:
	for i in range(L,L+2019):
		m.append(i%2019)

for i in range(len(m)):
	for j in range(i+1,len(m)):
		tmp = (m[i]*m[j])%2019
		if ans> tmp:
			ans = tmp
		if tmp == 0:
			break				
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
L,R = map(int,input().split())

ans = []

for i in range(L,R+1):
	for j in range(i+1,R+1):
		ans.append((i*j)%2019)
ans.sort()
print(ans[0])

Fixed submission:
L,R = map(int,input().split())
 
ans = 2019
m = []
l = R-L+1
if l < 2019:
	for i in range(L,R+1):
		m.append(i%2019)
else:
	for i in range(L,L+2019):
		m.append(i%2019)

for i in range(len(m)):
	for j in range(i+1,len(m)):
		tmp = (m[i]*m[j])%2019
		if ans> tmp:
			ans = tmp
		if tmp == 0:
			break				
print(ans)
Buggy python submission (verdict: Runtime Error):
import math

a,b,c,d = map(int,input().split())
t = 0
l = b-a+1

c_count = (b // c) - ((a-1) // c)

d_count = (b // d) - ((a-1) // d)

lc = (c*d) // math.gcd(c,d)
lc_count = (b // lc) - ((a-1) // lc)

print(l-c_count-d_count+lc_count)

Fixed submission:
def gcd(a,b):
	if b == 0:
		return a
	else:
		return gcd(b , a%b)	

a,b,c,d = map(int,input().split())
t = 0
l = b-a+1

c_count = (b // c) - ((a-1) // c)

d_count = (b // d) - ((a-1) // d)

lc = (c*d) // gcd(c,d)
lc_count = (b // lc) - ((a-1) // lc)

print(l-c_count-d_count+lc_count)

Buggy python submission (verdict: Runtime Error):
import math
def lcm(x, y):
    return (x * y) // math.gcd(x, y)

a,b,c,d = map(int,input().split())
t = 0
l = b-a+1

c_count = (b // c) - ((a-1) // c)

d_count = (b // d) - ((a-1) // d)

lc = lcm(c,d)
lc_count = (b // lc) - ((a-1) // lc)

print(l-c_count-d_count+lc_count)

Fixed submission:
def gcd(a,b):
	if b == 0:
		return a
	else:
		return gcd(b , a%b)	

a,b,c,d = map(int,input().split())
t = 0
l = b-a+1

c_count = (b // c) - ((a-1) // c)

d_count = (b // d) - ((a-1) // d)

lc = (c*d) // gcd(c,d)
lc_count = (b // lc) - ((a-1) // lc)

print(l-c_count-d_count+lc_count)

Buggy python submission (verdict: Runtime Error):
import math

def lcm(x, y):
    return (x * y) // math.gcd(x, y)

a,b,c,d = map(int,input().split())
t = 0
l = b-a+1

c_count = (b // c) - ((a-1) // c)

d_count = (b // d) - ((a-1) // d)

cd = c * d
cd_count =  (b // cd) - ((a-1) // cd)

lc = lcm(c,d)
lc_count = (b // lc) - ((a-1) // lc)

print(l-c_count-d_count+cd_count+lc)

Fixed submission:
def gcd(a,b):
	if b == 0:
		return a
	else:
		return gcd(b , a%b)	

a,b,c,d = map(int,input().split())
t = 0
l = b-a+1

c_count = (b // c) - ((a-1) // c)

d_count = (b // d) - ((a-1) // d)

lc = (c*d) // gcd(c,d)
lc_count = (b // lc) - ((a-1) // lc)

print(l-c_count-d_count+lc_count)

Buggy python submission (verdict: Runtime Error):
def lcm(x, y):
    return (x * y) // math.gcd(x, y)

a,b,c,d = map(int,input().split())
t = 0
l = b-a+1

c_count = (b // c) - ((a-1) // c)

d_count = (b // d) - ((a-1) // d)

cd = c * d
cd_count =  (b // cd) - ((a-1) // cd)

lc = lcm(c,d)
lc_count = (b // lc) - ((a-1) // lc)

print(l-c_count-d_count+cd_count+lc)

Fixed submission:
def gcd(a,b):
	if b == 0:
		return a
	else:
		return gcd(b , a%b)	

a,b,c,d = map(int,input().split())
t = 0
l = b-a+1

c_count = (b // c) - ((a-1) // c)

d_count = (b // d) - ((a-1) // d)

lc = (c*d) // gcd(c,d)
lc_count = (b // lc) - ((a-1) // lc)

print(l-c_count-d_count+lc_count)
Buggy python submission (verdict: Runtime Error):
from itertools import permutations

import numpy as np

N = int(input())

xys = []
for _ in range(N):
    xys.append(list(map(int, input().split())))

combs = np.array(list(permutations(xys, N)))
ret = np.array(
    [np.linalg.norm(combs[:, i] - combs[:, i + 1], axis=1) for i in range(N - 1)]
).sum() / len(combs)

print(f"{ret:.10f}")


Fixed submission:
from itertools import permutations

import numpy as np

N = int(input())

xys = []
for _ in range(N):
    xys.append(list(map(int, input().split())))

combs = np.array(list(permutations(xys, N)))
ret = np.array(
    [np.linalg.norm(combs[:, i] - combs[:, i + 1], axis=1) for i in range(N - 1)]
).sum() / len(combs)

print("{:.10f}".format(ret))
Buggy python submission (verdict: Runtime Error):
S = input().strip()

weather = ["Sunny", "Cloudy", "Rainy"]


idx = weather.index(S) + 1
if idx > len(weather):
    print(weather[0])
else:
    print(weather[idx])


Fixed submission:
S = input().strip()

weather = ["Sunny", "Cloudy", "Rainy"]


idx = weather.index(S) + 1
if idx >= len(weather):
    print(weather[0])
else:
    print(weather[idx])
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

N, K, Q = list(map(int, input().strip().split()))
As = [int(input()) for _ in range(Q)]

points = np.asarray([K for _ in range(N)])
for A in As:
    points -= 1
    points[A - 1] += 1

for p in points:
    if p > 0:
        print("Yes")
    else:
        print("No")


Fixed submission:
import numpy as np

N, K, Q = list(map(int, input().strip().split()))
As = [int(input()) for _ in range(Q)]

points = np.asarray([K for _ in range(N)])

points -= Q
for A in As:
    points[A - 1] += 1

for p in points:
    if p > 0:
        print("Yes")
    else:
        print("No")

Buggy python submission (verdict: Time Limit Exceeded):
N, K, Q = list(map(int, input().strip().split()))
As = [int(input()) for _ in range(Q)]

points = [K for _ in range(N)]
for A in As:
    for i in range(len(points)):
        if not i == A:
            points[i - 1] -= 1

for p in points:
    if p > 0:
        print("Yes")
    else:
        print("No")


Fixed submission:
import numpy as np

N, K, Q = list(map(int, input().strip().split()))
As = [int(input()) for _ in range(Q)]

points = np.asarray([K for _ in range(N)])

points -= Q
for A in As:
    points[A - 1] += 1

for p in points:
    if p > 0:
        print("Yes")
    else:
        print("No")
Buggy python submission (verdict: Runtime Error):
n = int(input())
s = input()

if n % 2 == 0 and s[:n / 2] == s[n / 2:]:
  print("Yes")
else:
  print("No")

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

if n % 2 == 0 and s[:n // 2] == s[n // 2:]:
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(range(1,N+1))
P = [A[len(A)-1]]
P.extend(A[:len(A)-1])
s = 0
for i,p in enumerate(P):
    s += p%(i+1)
print(s)

Fixed submission:
N = int(input())
n = N -1
print(n*(n+1)//2)
Buggy python submission (verdict: Runtime Error):
n = input()
v = sorted(map(int, input().split()))
vt = v[0]
vt = list(map(lambda x:(vt+x)/2, v[1:]))
for vn in v[1:]:
	vt = (vt + vn)/2
print(vt)

Fixed submission:
n = input()
v = sorted(map(int, input().split()))
vt = v[0]
for vn in v[1:]:
	vt = (vt + vn)/2
print(vt)
Buggy python submission (verdict: Time Limit Exceeded):
def cutoff(n, max):
    return n if n <= max else max

N, K, *h = map(int, open(0).read().split())
cost = [float('inf') for _ in h]
cost[0] = 0
for i, step_h in enumerate(h):
    base_cost = cost[i]
    for target_step in range(i+1, cutoff(i+1+K, N)):
        tc = abs(h[target_step] - h[i]) + base_cost
        if tc < cost[target_step]:
            cost[target_step] = tc

print(cost[N-1])


Fixed submission:
N, K, *h = map(int, open(0).read().split())
cost = [0]*N
for i in range(1, N):
    s = max(0, i-K)
    cost[i] = min([tc + abs(th-h[i]) for tc, th in zip(cost[s:i], h[s:i])])

print(cost[N-1])
Buggy python submission (verdict: Runtime Error):
N=int(input())
A=list(map(int,input().split()))
tmp=0
fugo=-1
for i in range(N):
    fugo*=-1
    tmp+=fugo*A[i]
ans.append(tmp)

for i in range(N):
    x=ans[i%N]
    ans.append(2*A[i%N]-x)

for x in ans:
    print(x_, end=' ')
print()

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

for i in range(N-1):
    x=ans[i%N]
    ans.append(2*A[i%N]-x)

for x in ans:
    print(x, end=' ')
print()

Buggy python submission (verdict: Runtime Error):
import numpy as np
N=int(input())
A=list(map(int,input().split()))
B_=list(map(lambda x: 2*x,A))
A=np.eye(N,N,1)+np.eye(N,N)
A[N-1][0]=1

x=np.linalg.solve(A, B_)
x=list(map(int,list(x)))

for x_ in x:
    print(x_, end=' ')
print()

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

for i in range(N-1):
    x=ans[i%N]
    ans.append(2*A[i%N]-x)

for x in ans:
    print(x, end=' ')
print()
Buggy python submission (verdict: Time Limit Exceeded):
N,M=map(int,input().split())
num=[0]*(N+1)
num[0]=1
num[1]=1

A=[]
for i in range(M):
    A.append(int(input()))

P=10**9+7

if 1 in A:
    num[1]=0

if N>=2:
    for i in range(2,N+1):
        num[i]=(num[i-1]+num[i-2])%P
        if i in A:
            num[i]=0

print(num[N])

Fixed submission:
N,M=map(int,input().split())
num=[0]*(N+1)
num[0]=1
num[1]=1

A=[]
for i in range(M):
    A.append(int(input()))

P=10**9+7
index=0

if 1 in A:
    num[1]=0
    index+=1


if N>=2:
    for i in range(2,N+1):
        num[i]=(num[i-1]+num[i-2])%P
        if index<=M-1 and i==A[index]:
            num[i]=0
            index+=1

print(num[N])
Buggy python submission (verdict: Time Limit Exceeded):
R,G,B,N=map(int,input().split())

cnt=0
for i in range(N//R +2):
    if R*i>N:
        break
    for j in range((N-R*i)//G +2):
        if R*i+G*j>N:
            break
        if (N-(R*i+G*j))%B==0:
            cnt+=1

print(cnt)


Fixed submission:
R,G,B,N=map(int,input().split())

cnt=0
for i in range(N//R+1):
    for j in range((N-R*i)//G+1):
        if (N-(R*i+G*j))%B==0:
            cnt+=1

print(cnt)

Buggy python submission (verdict: Time Limit Exceeded):
R,G,B,N=map(int,input().split())

cnt=0
for i in range(N+1):
    for j in range(N+1):
        if N-(R*i+G*j)>=0 and (N-(R*i+G*j))%B==0:
            cnt+=1
        if R*i+G*j>N:
            break

    if R*i>N:
        break

print(cnt)


Fixed submission:
R,G,B,N=map(int,input().split())

cnt=0
for i in range(N//R+1):
    for j in range((N-R*i)//G+1):
        if (N-(R*i+G*j))%B==0:
            cnt+=1

print(cnt)
Buggy python submission (verdict: Runtime Error):
print(int(input())+int(input())//2)

Fixed submission:
A,B=map(int,input().split())
print(A+B//2)
Buggy python submission (verdict: Runtime Error):
N=int(input())

if N==2:
  A=int(input())
  B=int(input())
  
print('Hello World' if N==1 else a+b)

Fixed submission:
N=int(input())

if N==2:
  A=int(input())
  B=int(input())
  
print('Hello World' if N==1 else A+B)
Buggy python submission (verdict: Runtime Error):
N,M,X,Y=map(int,input().split())
x=list(map(int,input().split()))
y=list(map(int,input().split()))
 
if min(y)-max(x)>=2 and X<Y:
  if len(set(range(max(x)+1,min(y)))&set(range(X+1,Y+1)):
  	print('No War')
  else:
    print('War')
else:
  print('War')

Fixed submission:
N,M,X,Y=map(int,input().split())
x=list(map(int,input().split()))
y=list(map(int,input().split()))
 
if max(x)<min(y) and X<Y:
  if len(set(range(max(x)+1,min(y)+1))&set(range(X+1,Y+1)))>=1:
  	print('No War')
  else:
    print('War')
else:
  print('War')
Buggy python submission (verdict: Time Limit Exceeded):
from operator import mul
from functools import reduce

N,M=map(int,input().split())
P=10**9+7
ans=1

def Pdeco(m):
    ret=[]
    for i in range(2,M):
        if m<=i:
            if m!=1: ret.append(int(m))
            break
        while m%i==0:
            m=m//i
            ret.append(i)
    return ret


def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

L=Pdeco(M)
nums=set(L)

for n in nums:
    p=L.count(n)
    ans=(ans*cmb(N+p-1,N-1))%P

print(ans)

Fixed submission:
from operator import mul
from functools import reduce

N,M=map(int,input().split())
P=10**9+7
ans=1

def Pdeco(m):
    ret=[]
    for i in range(2,int((M)**(0.5))+100):
        if m<=i:
            if m!=1: ret.append(int(m))
            break
        elif i>int((M)**(0.5)+50):
            ret.append(m)
            break

        while m%i==0:
            m=m//i
            ret.append(i)
    return ret


def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

L=Pdeco(M)
nums=set(L)

for n in nums:
    p=L.count(n)
    ans=(ans*cmb(N+p-1,N-1))%P

print(ans)
Buggy python submission (verdict: Runtime Error):
N,K=map(int,input().split())
print((N//K)**3+((K+1)%2)*(N//K+(N-(N//K)*K)//(K//2))**3)

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

if K%2==1:
  print((N//K)**3)
else:
  print((N//K)**3+(N//K+(N-(N//K)*K)//(K//2))**3)
Buggy python submission (verdict: Time Limit Exceeded):
import bisect

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

if 0 in X:
  K=K-1
ans=[]
Right=[]
Left=[]
  
for x in X:
  if x>0:
    Right.append(x)
  else:
    Left=[abs(x)]+Left

Right=[0]+Right
Left=[0]+Left
    
for i in range(K+1):
  if i<=len(Right)-1 and K-i<=len(Left)-1:
    ans.append(min(Right[i],Left[K-i])*2+max(Right[i],Left[K-i]))

if K==0:
  ans.append(0)

print(min(ans))

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

ans=[]

for i in range(N-K+1):
  xl=X[i]
  xr=X[i+K-1]
  ans.append(min(abs(xl)+abs(xr-xl),abs(xr)+abs(xl-xr)))

print(min(ans))

Buggy python submission (verdict: Runtime Error):
import bisect

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

if 0 in X:
  K=K-1

Right=[]
Left=[]
  
for x in X:
  if x>0:
    Right.append(x):
  else:
    Left=[abs(x)]+Left

print(Right)
print(Left)
      
    

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

ans=[]

for i in range(N-K+1):
  xl=X[i]
  xr=X[i+K-1]
  ans.append(min(abs(xl)+abs(xr-xl),abs(xr)+abs(xl-xr)))

print(min(ans))
Buggy python submission (verdict: Runtime Error):
S=input()
ans='WA'
tmp=0
for i in range(2:len(S)-1):
  if S[i]=='C':
    tmp+=1
    
if tmp==1:
  ans='AC'
  
print(ans)

  

Fixed submission:
S=input()

def solve():
  temp=0
  if S[0]!='A':
    print('WA')
    return
  if not 'a'<=S[1]<='z':
    print('WA')
    return
  for i in range(2,len(S)-1):
    if S[i]=='C':
      temp+=1
      if temp>1:
        print('WA')
        return
  if temp==0:
    print('WA')
    return
    
  if not 'a'<=S[len(S)-1]<='z':
    print('WA')
    return
  
  print('AC')

solve()
Buggy python submission (verdict: Runtime Error):
S=list(input())
T=list(input())
S=S+S
ans='No'
fot i in range(len(T)):
  if S[i:len(T)]==T:
    ans='Yes'
    break
print(ans)

Fixed submission:
S=list(input())
T=list(input())
S=S+S
ans='No'
for i in range(len(T)):
  if S[i:len(T)+i]==T:
    ans='Yes'
    break
print(ans)
Buggy python submission (verdict: Runtime Error):
N=int(input())
print(N*2 if N%==1 else N)

Fixed submission:
N=int(input())
print(N*2 if N%2==1 else N)
Buggy python submission (verdict: Runtime Error):
a,b=map(int,input().split())
print(b-(b-a)(b-a+1)//2)

Fixed submission:
a,b=map(int,input().split())
print((b-a)*(b-a+1)//2-b)