Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):


if __name__ == '__main__':
    N,A,B=list(map(int,input().split()))
    V=list(map(int,input().split()))

    import itertools
    max_mean=0
    numbers=[]
    V.sort(reverse=True)

    for i in range(A,B+1):
        temp=V[:i]
        temp_mean=sum(temp)/i
        if max_mean<temp_mean:
            max_mean=temp_mean

    for i in range(A, B + 1):
        temp = V[:i]
        temp_mean = sum(temp) / i
        if max_mean == temp_mean:
            numbers.append(i)

    count=0

    for number in numbers:
        for conbination in itertools.combinations(V,number):
            if sum(conbination)/number==max_mean:
                count+=1

    print(max_mean)
    print(count)


Fixed submission:

def combination_table(N):
    C=[[0 for i in range(N)] for j in range(N)]
    for i in range(N):
        for j in range(i):
            if j==0 or j==i:
                C[i][j]=1
            else:
                C[i][j]=C[i-1][j-1]+C[i-1][j]
    return C[2:]

if __name__ == '__main__':
    N,A,B=list(map(int,input().split()))
    V=list(map(int,input().split()))
    V.sort(reverse=True)
    temp=V[:A]
    max_mean=sum(temp)/A
    count=0
    C=combination_table(N+2)

    if V[0]!=V[A-1]:
        temp_1=V.count(V[A-1])
        temp_2=V[:A].count(V[A-1])
        count+=C[temp_1-1][temp_2]
        """temp_1=V.count(V[0])
        temp_2=V[:A].count(V[0])
        count+=C[temp_1-1][temp_2]"""
    elif V[0]==V[A-1]:
        for i in range(A,B+1):
            temp_1=V.count(V[0])
            count+=C[temp_1-1][i]

    print(max_mean)
    print(count)
Buggy python submission (verdict: Runtime Error):
import numpy

if __name__ == '__main__':
    N,M_a,M_b=list(map(int,input().split()))
    A,B,C=[],[],[]
    for i in range(N):
        a,b,c=list(map(int,input().split()))
        A.append(a)
        B.append(b)
        C.append(c)

    dp=[[[1e10 for i in range(max(B)*(N+1))] for j in range(max(A)*(N+1))] for k in range(N+1)]
    dp[0][0][0]=0

    for i in range(N):
        for c_a in range(max(A)*N):
            for c_b in range(max(B)*N):
                if dp[i][c_a][c_b]==1e10:
                    continue
                dp[i+1][c_a][c_b]=min(dp[i+1][c_a][c_b],dp[i][c_a][c_b])
                dp[i+1][c_a+A[i]][c_b+B[i]]=min(dp[i+1][c_a+A[i]][c_b+B[i]],dp[i][c_a][c_b]+C[i])
    ans_list=[1e10]
    for c_a in A:
        for c_b in B:
            if c_a*M_b==c_b*M_a:
                ans_list.append(dp[N][c_a][c_b])

    ans=min(ans_list)

    if  ans==1e10:
        print(-1)
    else:
        print(ans)








Fixed submission:
if __name__ == '__main__':
    N,M_a,M_b=list(map(int,input().split()))
    A,B,C=[],[],[]
    for i in range(N):
        a,b,c=list(map(int,input().split()))
        A.append(a)
        B.append(b)
        C.append(c)

    dp=[[[1e10 for i in range(sum(B)+max(B)+1)] for j in range(sum(A)+max(A)+1)] for k in range(N+1)]
    dp[0][0][0]=0

    for i in range(N):
        for c_a in range(sum(A)+1):
            for c_b in range(sum(B)+1):
                if dp[i][c_a][c_b]==1e10:
                    continue
                dp[i+1][c_a][c_b]=min(dp[i+1][c_a][c_b],dp[i][c_a][c_b])
                dp[i+1][c_a+A[i]][c_b+B[i]]=min(dp[i+1][c_a+A[i]][c_b+B[i]],dp[i][c_a][c_b]+C[i])
    ans_list=[1e10]
    for c_a in range(1,sum(A)+1):
        for c_b in range(1,sum(B)+1):
            if c_a*M_b==c_b*M_a:
                ans_list.append(dp[N][c_a][c_b])
    ans=min(ans_list)
    if  ans==1e10:
        print(-1)
    else:
        print(ans)
Buggy python submission (verdict: Runtime Error):

if __name__ == '__main__':
    INPUT=input()
    ans=[]
    for i in INPUT:
        if i=="0":
            ans.append("0")
        elif i=="1":
            ans.append("1")
        else:
            ans.pop()
    print("".join(ans))

Fixed submission:

if __name__ == '__main__':
    INPUT=input()
    ans=[]
    for i in INPUT:
        if i=="0":
            ans.append("0")
        elif i=="1":
            ans.append("1")
        else:
            if len(ans)>0:
                ans.pop()
    print("".join(ans))
Buggy python submission (verdict: Runtime Error):
n,m=list(map(int,input().split()))
a=[False]*100000
for i in range(m):
    a[int(input())]=True

ans=[0]*100001
ans[0]=1
if a[1]:
    ans[1]=0
else:
    ans[1]=1

for i in range(2,n+1):
    if a[i]:
        ans[i]=0
    else:
        ans[i]=ans[i-1]+ans[i-2]
print(ans[n]%1000000007)

Fixed submission:
n,m=list(map(int,input().split()))
a=[False]*100001
for i in range(m):
    a[int(input())]=True

ans=[0]*100001
ans[0]=1
if a[1]:
    ans[1]=0
else:
    ans[1]=1

for i in range(2,n+1):
    if a[i]:
        ans[i]=0
    else:
        ans[i]=ans[i-1]+ans[i-2]
print(ans[n]%1000000007)
Buggy python submission (verdict: Time Limit Exceeded):
n,m=list(map(int,input().split()))
#チェックしたか
checked=[False]*n
#辺があるか（左が小さい）
matrix=[[False]*n for _ in range(n)]
for i in range(m):
  u,v,a=list(map(int,input().split()))
  matrix[u-1][v-1] = True

ans=0

#閉路があればFalse,なければTrue
#既にチェック済のところを踏んだら閉路
def check(c,pre):
  flg=True
  checked[c]=True
  for i in range(n):
    if pre != i and matrix[min(c,i)][max(c,i)]:
      if checked[i]:
        flg=False
  return flg

for i in range(n):
  if checked[i]==False:
    if check(i,-1):
      ans+=1
print(ans)


Fixed submission:
import collections

n,m=list(map(int,input().split()))
#チェックしたか
checked=[False]*n
way=[[] for i in range(n)]
for i in range(m):
  x,y,z=list(map(int,input().split()))
  x-=1
  y-=1
  way[x].append(y)
  way[y].append(x)
ans=0

for i in range(n):
  if checked[i]==False:
    #木に繋がっているノードをチェック済にする
    q=collections.deque()
    q.append(i)
    while len(q)>0:
      c=q.popleft()
      for i in way[c]:
        if not checked[i]:
          checked[i]=True
          q.append(i)
    ans+=1
print(ans)
Buggy python submission (verdict: Runtime Error):
n,q=list(map(int,input().split()))
s=input()
li=[0]
c=0
for i in range(1,n-1):
  if s[i-1]=="A" and s[i]=="C":
    c+=1
  li.append(c)

for i in range(q):
  l,r=list(map(int,input().split()))
  l-=1
  r-=1
  print(li[r]-li[l])

Fixed submission:
n,q=list(map(int,input().split()))
s=input()
li=[0]
c=0
for i in range(1,n):
  if s[i-1]=="A" and s[i]=="C":
    c+=1
  li.append(c)

for i in range(q):
  l,r=list(map(int,input().split()))
  l-=1
  r-=1
  print(li[r]-li[l])
Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline

ina = input()
if ina == "1":
  print("Hello World")
else:
  inb = int(input())
  inc = int(input())
  print(inb + inc)
  

Fixed submission:
ina = input()
if ina == "1":
  print("Hello World")
else:
  inb = int(input())
  inc = int(input())
  print(inb + inc)

Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline

ina = input()
if ina == "1":
  print("Hello World")
else:
  inb = int(input())
  inc = int(input())
  print(inb + inc)

Fixed submission:
ina = input()
if ina == "1":
  print("Hello World")
else:
  inb = int(input())
  inc = int(input())
  print(inb + inc)
Buggy python submission (verdict: Runtime Error):
import fractions

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

ans=t[0]*t[1]//(fractions.gcd(t[0],t[1]))
for i in range(2,n):
    ans=ans*t[i]//(fractions.gcd(ans,t[i]))
print(ans)


Fixed submission:
import fractions

n=int(input())
t=[]
for i in range(n):
    t.append(int(input()))
if n>=2:
    ans=t[0]*t[1]//(fractions.gcd(t[0],t[1]))
    for i in range(2,n):
        ans=ans*t[i]//(fractions.gcd(ans,t[i]))
    print(ans)
else:
    print(t[0])
Buggy python submission (verdict: Runtime Error):
import itertools

n,m=list(map(int,input().split()))
path=[[False]*m for _ in range(m)]
for i in range(m):
  a,b=list(map(int,input().split()))
  path[a-1][b-1]=True

ans=0
for i in itertools.permutations(list(range(n))):
  if i[0]!=0:
    continue
  flg=True
  for j in range(len(i)-1):
    if path[min(i[j],i[j+1])][max(i[j],i[j+1])]==False:
      flg=False
      break
  if flg:
    ans+=1
print(ans)

Fixed submission:
import itertools

n,m=list(map(int,input().split()))
path=[[False]*n for _ in range(n)]
for i in range(m):
  a,b=list(map(int,input().split()))
  path[a-1][b-1]=True

ans=0
for i in itertools.permutations(list(range(n))):
  if i[0]!=0:
    continue
  flg=True
  for j in range(len(i)-1):
    if path[min(i[j],i[j+1])][max(i[j],i[j+1])]==False:
      flg=False
      break
  if flg:
    ans+=1
print(ans)
Buggy python submission (verdict: Runtime Error):
#import sys
#input=sys.stdin.readline

s=input()
ans=0

for i in range(2 ** (len(s)-1)):
  bin_i = bin(i)[2:].rjust(len(s)-1,"0")
  li=[]
  n=s[0]
  for ix,sign in enumerate(bin_i):
    if sign=="0":
      n+=s[ix+1]
    else:
      li.append(int(n))
      n=s[ix+1]
  li.append(int(n))
  ans+=sum(li)

print(ans)

Fixed submission:
s=input()
ans=0

if len(s)==1:
  print(s)
  exit()

for i in range(2 ** (len(s)-1)):
  bin_i = bin(i)[2:].rjust(len(s)-1,"0")
  li=[]
  n=s[0]
  for ix,sign in enumerate(bin_i):
    if sign=="0":
      n+=s[ix+1]
    else:
      li.append(int(n))
      n=s[ix+1]
  li.append(int(n))
  ans+=sum(li)

print(ans)

Buggy python submission (verdict: Runtime Error):
#import sys
#input=sys.stdin.readline

s=input()
ans=0

for i in range(2 ** (len(s)-1)):
  bin_i = bin(i)[2:].rjust(len(s)-1,"0")
  li=[]
  n=s[0]
  #0がなし、1が+
  for ix,sign in enumerate(bin_i):
    if sign=="0":
      n+=s[ix+1]
    else:
      li.append(int(n))
      n=s[ix+1]
  li.append(int(n))
  ans+=sum(li)

print(ans)

Fixed submission:
s=input()
ans=0

if len(s)==1:
  print(s)
  exit()

for i in range(2 ** (len(s)-1)):
  bin_i = bin(i)[2:].rjust(len(s)-1,"0")
  li=[]
  n=s[0]
  for ix,sign in enumerate(bin_i):
    if sign=="0":
      n+=s[ix+1]
    else:
      li.append(int(n))
      n=s[ix+1]
  li.append(int(n))
  ans+=sum(li)

print(ans)

Buggy python submission (verdict: Runtime Error):
import sys
input=sys.stdin.readline

s=input()
ans=0

for i in range(2 ** (len(s)-1)):
  bin_i = bin(i)[2:].rjust(len(s)-1,"0")
  li=[]
  n=s[0]
  #0がなし、1が+
  for ix,sign in enumerate(bin_i):
    if sign=="0":
      n+=s[ix+1]
    else:
      li.append(int(n))
      n=s[ix+1]
  li.append(int(n))
  ans+=sum(li)

print(ans)

Fixed submission:
s=input()
ans=0

if len(s)==1:
  print(s)
  exit()

for i in range(2 ** (len(s)-1)):
  bin_i = bin(i)[2:].rjust(len(s)-1,"0")
  li=[]
  n=s[0]
  for ix,sign in enumerate(bin_i):
    if sign=="0":
      n+=s[ix+1]
    else:
      li.append(int(n))
      n=s[ix+1]
  li.append(int(n))
  ans+=sum(li)

print(ans)
Buggy python submission (verdict: Runtime Error):
in1 = list(input())
in1.sort()
i = 1
flg = True
while i <= len(in1):
  if in1[i] != in1[i-1]:
    flg = False
    break
  i+=2
if flg:
  print("Yes")
else:
  print("No")

Fixed submission:
in1 = list(input())
in1.sort()
i = 1
flg = True
if len(in1) %2 != 0:
  flg=False
else:
  while i < len(in1):
    if in1[i] != in1[i-1]:
      flg = False
      break
    i+=2
if flg:
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
    inn = int(input())
    r = 0
    for i in range(1,inn+1):
      r += i
    print(r)

Fixed submission:
inn = int(input())
r = 0
for i in range(1,inn+1):
  r+= i
print(r)
Buggy python submission (verdict: Runtime Error):
iro = []
iro_i = []
res = []
r = 1
cm = []

N = int(input())
for i in range(N+1):
  cm.append([])
for i in range(N-1):
  a,b = input().split(" ")
  a = int(a)
  b = int(b)
  cr = set(iro_i) - set(cm[a] + cm[b])
  
  if len(cr):
    cr = list(cr)[0]
    res.append(cr)
    cm[a].append(cr)
    cm[b].append(cr)
  else:
    iro_i.append(r)
    cm[a].append(r)
    cm[b].append(r)
    res.append(r)
    r+=1

print(r-1)
for i in res:
  print(i)




Fixed submission:
S_L="""SUN,MON,TUE,WED,THU,FRI,SAT"""
S_L = S_L.split(",")
print(7 - S_L.index(input()) )
Buggy python submission (verdict: Runtime Error):
# データ読み込み

import sys
from collections import deque

def input_data(d):
  t = sys.stdin.read()
  if t:
    return t
  else:
    if d[0] == "\n":
      d = d[1:]
    if d[-1] == "\n":
      d = d[:-1]    
    return d

A, B  = map(int,input_data().split())
A
out = ":("
if A <= 6 and B <= 6:
  out = "Yay!"

print(out)

Fixed submission:
# データ読み込み

import sys
from collections import deque

def input_data(d=""):
  t = sys.stdin.read()
  if t:
    return t
  else:
    if d[0] == "\n":
      d = d[1:]
    if d[-1] == "\n":
      d = d[:-1]    
    return d

A, B  = map(int,input_data().split())
A
out = ":("
if A <= 8 and B <= 8:
  out = "Yay!"

print(out)
Buggy python submission (verdict: Runtime Error):
a = int(input())
n = list(map(int.input().split()))
b = 0
c = 0
flag = 0
for i in n:
    if not int(i) == b+1:
        c +=1
    else:
        b += 1
        flag = 1
if flag == 0:
    c = -1
print(c)

Fixed submission:
a = int(input())
n = input().split()
b = 0
c = 0
flag = 0
for i in n:
    if not int(i) == b+1:
        c +=1
    else:
        b += 1
        flag = 1
if flag == 0:
    c = -1
print(c)
Buggy python submission (verdict: Runtime Error):
if S == 'Sunny':
	print('Cloudy')
elif S == 'Cloudy':
	print('Rainy')
elif S == 'Rainy':
	print('Sunny')

Fixed submission:
S = input()
if S == 'Sunny':
	print('Cloudy')
elif S == 'Cloudy':
	print('Rainy')
elif S == 'Rainy':
	print('Sunny')

Buggy python submission (verdict: Runtime Error):
if S == 'Sunny':
	print('Cloudy')
elif S == 'Cloudy':
	print('Rainy')
else:
	print('Sunny')

Fixed submission:
S = input()
if S == 'Sunny':
	print('Cloudy')
elif S == 'Cloudy':
	print('Rainy')
elif S == 'Rainy':
	print('Sunny')

Buggy python submission (verdict: Runtime Error):
if S == 'Sunny':
print('Cloudy')
elif S == 'Cloudy':
print('Rainy')
else:
print('Sunny')

Fixed submission:
S = input()
if S == 'Sunny':
	print('Cloudy')
elif S == 'Cloudy':
	print('Rainy')
elif S == 'Rainy':
	print('Sunny')

Buggy python submission (verdict: Runtime Error):
if S == 'Sunny'
print('Cloudy')
elif S == 'Cloudy'
print('Rainy')
else
print('Sunny')

Fixed submission:
S = input()
if S == 'Sunny':
	print('Cloudy')
elif S == 'Cloudy':
	print('Rainy')
elif S == 'Rainy':
	print('Sunny')
Buggy python submission (verdict: Time Limit Exceeded):
import bisect

N = int(input())
L = sorted([int(n) for n in input().split()])
#print(L)

count = 0
for i in range(N-1):
    for j in range(i+1, N):
        count += bisect.bisect_left(L[j+1:], L[i]+L[j])

print(count)


Fixed submission:
import bisect

N = int(input())
L = sorted([int(n) for n in input().split()])
#print(L)

count = 0
for i in range(N-1):
    b = L[:i]
    c = L[i+1:]
    for j in b:
        count += bisect.bisect_left(c, L[i] + j)

print(count)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
H = [int(n) for n in input().split()]

max_count = 0
for i in range(N):
    count = 0
    for j in range(0, N-i-1):
        if H[i+j+1] <= H[i+j]:
            count += 1
        else:
            max_count = max(max_count, count)
            break
    else:
        max_count = max(max_count, count)
print(max_count)

Fixed submission:
N = int(input())
H = [int(n) for n in input().split()]
reached = [False] * N 

max_count = 0
for i in range(N):
    if reached[i] == True:
        continue
    else:
        count = 0
        for j in range(0, N-i-1):
            if H[i+j+1] <= H[i+j]:
                count += 1
                reached[i+j+1] = True
            else:
                max_count = max(max_count, count)
                break
        else:
            max_count = max(max_count, count)
print(max_count)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
ss = [input() for n in range(N)]

def check_diff(s1, s2):
    if sorted(s1) == sorted(s2):
        return True
    else:
        return False

count = 0
for i in range(N-1):
    for j in range(i+1, N):
        if check_diff(ss[i], ss[j]):
            count += 1

print(count)

Fixed submission:
import math

N = int(input())
records = {}

for i in range(N):
    l = ''.join(sorted(input()))
    records.setdefault(l, 0)
    records[l] += 1

count = 0
for v in records.values():
    if v == 1:
        continue
    else:
        count += math.comb(v, 2)

print(count)
Buggy python submission (verdict: Time Limit Exceeded):
import copy
N = int(input())
A_ = [int(input()) for _ in range(N)]

for i in range(N):
    A = copy.copy(A_)
    A.pop(i)
    print(max(A))

Fixed submission:
N = int(input())
A = [int(input()) for i in range(N)]
A_ = sorted(A)
max1 = A_[-1]
max2 = A_[-2]

for i in range(N):
    if A[i] == max1:
        print(max2)
    else:
        print(max1)
Buggy python submission (verdict: Runtime Error):
N, D = [int(n) for n in input().split()]
X = []
for i in range(N):
    X.append([int(m) for m in input().split()])

def get_distance(p1, p2):
    d2 = 0
    for i in range(D):
        d2 += (p1[i] - p2[i])**2
    return math.sqrt(d2)

count = 0
for i, j in itertools.combinations(range(N), 2):
    if get_distance(X[i], X[j]).is_integer():
        count += 1

print(count)

Fixed submission:
import math
import itertools

N, D = [int(n) for n in input().split()]
X = []
for i in range(N):
    X.append([int(m) for m in input().split()])

def get_distance(p1, p2):
    d2 = 0
    for i in range(D):
        d2 += (p1[i] - p2[i])**2
    return math.sqrt(d2)

count = 0
for i, j in itertools.combinations(range(N), 2):
    if get_distance(X[i], X[j]).is_integer():
        count += 1

print(count)
Buggy python submission (verdict: Time Limit Exceeded):
L, R = [int(n) for n in input().split()]

if L - R >= 2019:
    print(0)
else:
    min_mod = 2019
    for a in range(L, R):
        for b in range(a+1, R+1):
            min_mod = min(min_mod, (a * b) % 2019)

    print(min_mod)

Fixed submission:
L, R = [int(n) for n in input().split()]

if R - L >= 2019:
    print(0)
else:
    min_mod = 2019
    for a in range(L, R):
        for b in range(a+1, R+1):
            min_mod = min(min_mod, (a * b) % 2019)

    print(min_mod)

Buggy python submission (verdict: Time Limit Exceeded):
L, R = [int(n) for n in input().split()]

#L = L % 2019
#R = R % 2019

min_mod = 2019
for a in range(L, R):
    for b in range(a+1, R+1):
        min_mod = min(min_mod, (a * b) % 2019)

print(min_mod)

Fixed submission:
L, R = [int(n) for n in input().split()]

if R - L >= 2019:
    print(0)
else:
    min_mod = 2019
    for a in range(L, R):
        for b in range(a+1, R+1):
            min_mod = min(min_mod, (a * b) % 2019)

    print(min_mod)
Buggy python submission (verdict: Time Limit Exceeded):
N, M = [int(n) for n in input().split()]

check_list = [0] * N

for i in range(M):
    l, r = [int(n) for n in input().split()]
    for j in range(l-1, r):
        check_list[j] += 1

print(check_list.count(M))

Fixed submission:
N, M = [int(n) for n in input().split()]

l, r = 1, 10**5
for i in range(M):
    l_, r_ = [int(n) for n in input().split()]
    l = max(l, l_)
    r = min(r, r_)

if l > r:
    print(0)
else:
    print(r-l+1)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
V = [int(n) for n in input().split()]
C = [int(n) for n in input().split()]
B = []
for i in range(N):
    B.append(V[i] - C[i])
#print(B)

max_profit = 0
for i in range(2**N):
    
    profit = 0
    for j in range(N):
        if i & (1 << j):
            profit += B[j]
    
    max_profit = max(max_profit, profit)

print(max_profit)



Fixed submission:
N = int(input())
V = [int(n) for n in input().split()]
C = [int(n) for n in input().split()]

profit = 0
for i in range(N):
    if V[i] - C[i] >= 0:
        profit += V[i] - C[i]

print(profit)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = [int(n) for n in input().split()]

import math, copy

def all_gcd(l):
    a = l[0]
    for i in range(1,len(l)):
        b = l[i]
        a = math.gcd(a, b)
    return a

max_gcd = 0
for n in A:
    copied_A = copy.copy(A)
    copied_A.remove(n)
    max_gcd = max(max_gcd, all_gcd(copied_A)) 

print(max_gcd) 

Fixed submission:
import math

N = int(input())
A = [int(n) for n in input().split()]

gcd_l = [0]
gcd_r = [0]


for i in range(N):
    gcd_l.append(math.gcd(gcd_l[i], A[i]))
    gcd_r.append(math.gcd(gcd_r[i], A[-(i+1)]))

gcd_r = gcd_r[::-1]

max_gcd = 0
for i in range(N):
    max_gcd = max(max_gcd, math.gcd(gcd_l[i], gcd_r[i+1]))

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

# the number of '#'
p0 = s.count('#')

# the number of '.'
p1 = n - p0

p_min = min(p0, p1)

wb_ = 0
bw_ = 0
for i in range(n):

    if s[i] == '.':
        bw = bw_ 
        wb = p1
    else:
        bw = bw_ + 1
        wb = p1 - 1
    
    p_min = min(p_min, (bw + wb))

print(p_min)

Fixed submission:
a, b, c = [int(n) for n in input().split()]

if a < c < b or b < c < a:
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Time Limit Exceeded):
s = int(input())

def func(n):
    if n%2 == 0:
        return int(n / 2)
    else:
        return 3 * n + 1

a = [s]
i = 0
flg = 1

while(flg):
    a.append(func(a[i]))
    #print(a)
    for k in range(len(a)):
        for l in range(1, len(a)-k): 
            if a[k] == a[k+l]:
                print(k+l+1)
                break
        else:
            continue
        break   
        
    i += 1
            
    


Fixed submission:
s = int(input())

def func(n):
    if n%2 == 0:
        return int(n / 2)
    else:
        return 3 * n + 1

a = [s]
i = 0
flg = 1
while(flg):
    a.append(func(a[i]))
    #print(a)
    for k in range(len(a)):
        for l in range(1, len(a)-k): 
            if a[k] == a[k+l]:
                print(k+l+1)
                flg = 0
                break
        if flg == 0:
            break
        
    i += 1

Buggy python submission (verdict: Runtime Error):
while(flg):
    a.append(func(a[i]))
    #print(a)
    for k in range(len(a)):
        for l in range(1, len(a)-k): 
            if a[k] == a[k+l]:
                print(k+l+1)
                break
        else:
            continue
        break   
        
    i += 1

Fixed submission:
s = int(input())

def func(n):
    if n%2 == 0:
        return int(n / 2)
    else:
        return 3 * n + 1

a = [s]
i = 0
flg = 1
while(flg):
    a.append(func(a[i]))
    #print(a)
    for k in range(len(a)):
        for l in range(1, len(a)-k): 
            if a[k] == a[k+l]:
                print(k+l+1)
                flg = 0
                break
        if flg == 0:
            break
        
    i += 1
Buggy python submission (verdict: Time Limit Exceeded):
import itertools

N, K = map(int, input().split())
h = [int(input()) for _ in range(N)]
hmin = 10**9
for selected in itertools.combinations(h, K):
    delta = max(selected) - min(selected)
    hmin = min(hmin, delta)
    
print(hmin)

Fixed submission:
N, K = map(int, input().split())
h = [int(input()) for _ in range(N)]
h.sort()
hmin = min(h[i+K-1] - h[i] for i in range(N-K+1))
print(hmin)
Buggy python submission (verdict: Time Limit Exceeded):
N, X = map(int, input().split())

def lv(n):
    if n == 0:
        yield 'P'
    else:
        yield 'B'
        for q in lv(n-1):
            yield q
        yield 'P'
        for q in lv(n-1):
            yield q
        yield 'B'

k = 0
i = 0
for n in lv(N):
    #print(n)
    if n == 'P':
        i += 1
    
    k += 1
    
    if k >= X:
        break

print(i)

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

a, p = [1], [1]
for i in range(N):
    a.append(a[i] * 2 + 3)
    p.append(p[i] * 2 + 1)
    
def f(N, X):
    if N == 0:
        return 0 if X <= 0 else 1
    
    elif X <= 1 + a[N-1]:
        return f(N-1, X-1)

    else:
        return p[N-1] + 1 + f(N-1, X-2-a[N-1])

print(f(N, X))
Buggy python submission (verdict: Runtime Error):
import itertools

N = int(input())
params = []
for i in range(N):
    xyh = [int(n) for n in input().split()]
    params.append(xyh)

for cxi, cyi in itertools.product(range(101), range(101)):
    for k in range(N):
        if params[k][2] > 0:
            hight = params[k][2] + abs(params[k][0] - cxi) + abs(params[k][1] - cyi)

    for k in range(N):
        if params[k][2] != max(hight - abs(params[k][0] - cxi) - abs(params[k][1] - cyi), 0)
            break
    
    else:
        print(cxi, cyi, hight)

Fixed submission:
N = int(input())

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