Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N,K=[int(i) for i in input().split()]
X=[int(i) for i in input().split()]
m=10**5
for i in range(N-K+1):
    m=min(m,x[K-1+i]-x[i]+min(abs(x[K-1+i]),abs(x[i])))

print(m)

Fixed submission:
N,K=[int(i) for i in input().split()]
X=[int(i) for i in input().split()]
m=10**9
for i in range(N-K+1):
    m=min(m,X[K-1+i]-X[i]+min(abs(X[K-1+i]),abs(X[i])))

print(m)

Buggy python submission (verdict: Runtime Error):
N,K=[int(i) for i in input().split()]
X=[int(i) for i in input().split()]
m=10**5
for i in range(n-k+1):
    m=min(m,x[k-1+i]-x[i]+min(abs(x[k-1+i]),abs(x[i])))

print(m)

Fixed submission:
N,K=[int(i) for i in input().split()]
X=[int(i) for i in input().split()]
m=10**9
for i in range(N-K+1):
    m=min(m,X[K-1+i]-X[i]+min(abs(X[K-1+i]),abs(X[i])))

print(m)

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

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

xm=[]
xp=[]
x0=[]
ans=10**5+1

for i in range(N):
    xi=x[i]
    if xi<0:
        xm.append(xi)
    elif xi==0:
        x0.append(xi)
    else:
        xp.append(xi)

xm.sort(reverse=True)

if x0==[]:
    ajst=0
else:
    ajst=1

K=K-ajst

for i in range(min(len(xp),K)):
    if i<K-1:
        if len(xm)>=K-(i+1):
            ans=min(ans,2*xp[i]-xm[K-ajst-(i+1)-1])
    
    else:#i==K-1
        ans=min(ans,xp[i])

for i in range(min(len(xm),K)):
    if i<K-1:
        if len(xp)-1>=K-(i+1):
            ans=min(ans,-2*xm[i]+xp[K-ajst-(i+1)-1])
    
    else:#i==K-1
        ans=min(ans,-xm[i])

if K==１ and x0!=[]:
    ans=0

print(ans)

Fixed submission:
N,K=[int(i) for i in input().split()]
X=[int(i) for i in input().split()]
m=10**9
for i in range(N-K+1):
    m=min(m,X[K-1+i]-X[i]+min(abs(X[K-1+i]),abs(X[i])))

print(m)

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

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

xm=[]
xp=[]
x0=[]
ans=10**5+1

for i in range(N):
    xi=x[i]
    if xi<0:
        xm.append(xi)
    elif xi==0:
        x0.append(xi)
    else:
        xp.append(xi)

xm.sort(reverse=True)

if x0==[]:
    ajst=0
else:
    ajst=1

K=K-ajst

for i in range(min(len(xp),K)):
    if i<K-1:
        if len(xm)>=K-(i+1):
            ans=min(ans,2*xp[i]-xm[K-ajst-(i+1)-1])
    
    else:#i==K-1
        ans=min(ans,xp[i])

for i in range(min(len(xm),K)):
    if i<K-1:
        if len(xp)-1>=K-(i+1):
            ans=min(ans,-2*xm[i]+xp[K-ajst-(i+1)-1])
    
    else:#i==K-1
        ans=min(ans,-xm[i])

if K==１ and x0!=0:
    ans=0

print(ans)

Fixed submission:
N,K=[int(i) for i in input().split()]
X=[int(i) for i in input().split()]
m=10**9
for i in range(N-K+1):
    m=min(m,X[K-1+i]-X[i]+min(abs(X[K-1+i]),abs(X[i])))

print(m)
Buggy python submission (verdict: Runtime Error):
from fractions import gcd

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

def lcm_base(x,y):
  return x*y//gcd(x,y)

def lcm(ls):
  return reduce(lcm_base,ls)

print(lcm(a)-1)

Fixed submission:
from fractions import gcd
from functools import reduce

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

def lcm_base(x,y):
  return x*y//gcd(x,y)

def lcm(ls):
  return reduce(lcm_base,ls)

def mod(ls,num):
    ans=0
    for i in range(N):
        ans+=num%ls[i]
    return ans
print(mod(a,lcm(a)-1))
Buggy python submission (verdict: Runtime Error):
N,K=map(int,input().split())
A=list(map(int,input.split()))

ans=1
X=N-K

while X>0:
  X-=K-1
  ans+=1
print(ans)

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

ans=1
X=N-K

while X>0:
  X-=K-1
  ans+=1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
a=list(map(int,input().split()))
ans=0

while True:
  for i in range(N):
    if a[i]%2==0:
      a[i]=a[i]//2
      ans+=1
      break
  else:
    break

print(ans)

Fixed submission:
N=int(input())
a=list(map(int,input().split()))
ans=0

while True:
  flag=0
  for i in range(N):
    if a[i]%2==0:
      a[i]=a[i]//2
      ans+=1
      flag=1
  else:
      if flag==0:
          break

print(ans)
Buggy python submission (verdict: Runtime Error):
import math
from functools import reduce
N=int(input())
MOD=10**9+7

def all_multiple(a):
    return reduce(lambda a,b:a*b,a)

def is_prime(n):
    if n==1: return False
    for k in range(2,int(math.sqrt(n))+1):
        if n%k==0:
            return False
    return True


A=[1]*(N+1)#indexと割られる数を合わせる
ans=1
for N_t in range(2,N+1):
    for num in range(1,N_t+1):
        if is_prime(num):
            cnt=0
            while N_t%num==0:
                N_t=N_t//num
                cnt+=1
            A[num]+=cnt 

print(all_multiple_mod(A,MOD)%MOD)

            


Fixed submission:
import math
from functools import reduce
N=int(input())
MOD=10**9+7
'''
def all_multiple(a):
    return reduce(lambda a,b:a*b,a)
'''
def all_multiple_mod(a,m):
    return reduce(lambda a,b:((a%m)*(b%m))%m,a)

def is_prime(n):
    if n<=1 or (n!=2 and n%2==0):#nが１以下、あるいは、2ではない偶数
        return False
    elif 2<=n<=9:#n1が2以上９以下かつ2以外の偶数ではない
        return True
    else:#nが10以上の奇数〜√nまでの数で割り切れない場合は素数
        res=True
        for d in range(3,int(math.sqrt(n))+1,2):
            if n%d==0:
                res=False
                break
        return res
#print(is_prime(N))

'''
def is_prime(n):
    if n==1: return False
    for k in range(2,int(math.sqrt(n))+1):
        if n%k==0:
            return False
    return True
'''

A=[1]*(N+1)#indexと割られる数を合わせる
ans=1
for N_t in range(2,N+1):
    for num in range(1,N_t+1):
        if is_prime(num):
            cnt=0
            while N_t%num==0:
                N_t=N_t//num
                cnt+=1
            A[num]+=cnt 

print(all_multiple_mod(A,MOD)%MOD)
Buggy python submission (verdict: Time Limit Exceeded):
N,x=map(int,input().split())
a=list(map(int,input().split()))
ans=0
for i in range(N-1):
    if sum(a[i:i+2])>x:
        while sum(a[i:i+2])>x:
            a[i+1]-=1
            ans+=1
        while sum(a[i:i+2])>x:
            a[i]-=1
            ans+=1

print(ans)

Fixed submission:
N,x=map(int,input().split())
a=list(map(int,input().split()))
ans=0
for i in range(N-1):
    ex=sum(a[i:i+2])-x
    if ex>0:
        ans+=ex
        if a[i+1]>=ex:
            a[i+1]-=ex
        else:
            a[i+1]=0
            a[i]-=ex-a[i+1]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N,x=map(int,input().split())
a=list(map(int,input().split()))
ans=0
for i in range(N-1):
    if sum(a[i:i+2])>x:
        while sum(a[i:i+2])>x:
            a[i+1]-=1
            ans+=1
        while sum(a[i:i+2])>x:
            a[i]-=1
            ans+=1

print(ans)

Fixed submission:
N,x=map(int,input().split())
a=list(map(int,input().split()))
ans=0
for i in range(N-1):
    ex=sum(a[i:i+2])-x
    if ex>0:
        ans+=ex
        if a[i+1]>=ex:
            a[i+1]-=ex
        else:
            a[i+1]=0
            a[i]-=ex-a[i+1]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))
sum = 0
INF = 10 ** 9 + 7
for m in range(N):
  for n in range(m+1,N):
    sum = (sum + A[m] * A[n]) % INF
print(sum)

Fixed submission:
N = int(input())
A = list(map(int, input().split()))
INF = 10 ** 9 + 7
s = A[0] * A[1] % INF
tmp = A[0]
for n in range(2,N):
  tmp += A[n-1] % INF
  s = (s + A[n] * tmp) % INF
print(s)
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
import math
N = int(input())
sum = 0;
for n in range(0,len(str(N))):
  sum = sum + (N % 10)
  N = N // 10
if sum % 9 == 0:
  print('Yes')
else:
  print('No')

Fixed submission:
import numpy as np
import math
strN = input()
splN = list(strN)
intN = [int(s) for s in splN]
sumN = sum(intN)
if sumN % 9 == 0:
  print('Yes')
else:
  print('No')
Buggy python submission (verdict: Runtime Error):
import math
A,B,C = map(int, input().split())
K = int(input())
if A > B:
  K1 = math.ceil(math.log(A,B))
  B = B ** K1
  K1 = K1 -1
elif A == B:
  B = B ** 2
  K1 = 1
else:
  K1 = 0

if B > C:
  K2 = math.ceil(math.log(B,C)) - 1
elif B == C:
  K2= 1
else:
  K2= 0
  
if K1 + K2 <= K:
  print('Yes')
else:
  print('No')

Fixed submission:
import math
A,B,C = map(int, input().split())
K = int(input())
if A > B:
  K1 = math.ceil(math.log(A/B,2))
  B = B * (2 ** K1)
  if A == B:
    B = B * 2
    K1 = K1 + 1
elif A == B:
  B = B * 2
  K1 = 1
else:
  K1 = 0

if B > C:
  K2 = math.ceil(math.log(B/C,2))
  C = C * (2 ** K2)
  if C == B:
    K2 = K2 + 1
elif B == C:
  K2= 1
else:
  K2= 0
  
if K1 + K2 <= K:
  print('Yes')
else:
  print('No')

Buggy python submission (verdict: Runtime Error):
import math
A,B,C = map(int, input().split())
K = int(input())
if A < B:
  K1 = math.ceil(math.log(A,B))
  B = B ** K1
elif A == B:
  K1 = 2
  B = B ** K1
else
  K1 = 1

if B < C:
  K2 = math.ceil(math.log(B,C))
elif B == C:
  K2= 2
else
  K2= 1
if K1 + K2 -2 <= K:
  print('Yes')
else:
  print('No')

Fixed submission:
import math
A,B,C = map(int, input().split())
K = int(input())
if A > B:
  K1 = math.ceil(math.log(A/B,2))
  B = B * (2 ** K1)
  if A == B:
    B = B * 2
    K1 = K1 + 1
elif A == B:
  B = B * 2
  K1 = 1
else:
  K1 = 0

if B > C:
  K2 = math.ceil(math.log(B/C,2))
  C = C * (2 ** K2)
  if C == B:
    K2 = K2 + 1
elif B == C:
  K2= 1
else:
  K2= 0
  
if K1 + K2 <= K:
  print('Yes')
else:
  print('No')

Buggy python submission (verdict: Runtime Error):
import math
A,B,C = map(int, input().split())
K = int(input())
if A < B:
  K1 = math.ceil(math.log(A,B))
  B = B ** K1
else if A == B:
  K1 = 2;
  B = B ** K1
else
  K1 = 1;

if B < C:
  K2 = math.ceil(math.log(B,C))
else if B == C:
  K2= 2;
else
  K2= 1;
if K1 + K2 -2 <= K:
  print('Yes')
else:
  print('No')

Fixed submission:
import math
A,B,C = map(int, input().split())
K = int(input())
if A > B:
  K1 = math.ceil(math.log(A/B,2))
  B = B * (2 ** K1)
  if A == B:
    B = B * 2
    K1 = K1 + 1
elif A == B:
  B = B * 2
  K1 = 1
else:
  K1 = 0

if B > C:
  K2 = math.ceil(math.log(B/C,2))
  C = C * (2 ** K2)
  if C == B:
    K2 = K2 + 1
elif B == C:
  K2= 1
else:
  K2= 0
  
if K1 + K2 <= K:
  print('Yes')
else:
  print('No')

Buggy python submission (verdict: Runtime Error):
import math
A,B,C = map(int, input().split())
K = int(input())
K1 = math.ceil(math.log(A,B))
B = B ** K1
K2 = math.ceil(math.log(B,C))
if K1 + K2 -2 <= K:
  print('Yes')
else:
  print('No')

Fixed submission:
import math
A,B,C = map(int, input().split())
K = int(input())
if A > B:
  K1 = math.ceil(math.log(A/B,2))
  B = B * (2 ** K1)
  if A == B:
    B = B * 2
    K1 = K1 + 1
elif A == B:
  B = B * 2
  K1 = 1
else:
  K1 = 0

if B > C:
  K2 = math.ceil(math.log(B/C,2))
  C = C * (2 ** K2)
  if C == B:
    K2 = K2 + 1
elif B == C:
  K2= 1
else:
  K2= 0
  
if K1 + K2 <= K:
  print('Yes')
else:
  print('No')
Buggy python submission (verdict: Runtime Error):
import numpy as np
N,K = map(int, input().split())
p = 10 ** 9 + 7
A = list(map(int, input().split()))
A_np = np.array(A)
A_pos = A_np[A_np>=0]
A_neg = A_np[A_np<0]
judge = False
s = 1
if len(A_pos) > 0:
  if N > K:
    judge = True
  else:
    if len(A_neg) % 2 == 0:
      judge = True    
else:
  if (K % 2) == 0:
    judge = True
if judge == True:
  A_pos = np.sort(A_pos)[::-1]
  A_neg = np.sort(A_neg)
  if (K % 2) == 1:
    s = A_pos[0]
    A_pos = A_pos[1:]
    K = K - 1
  K = int(K / 2)
  stack = np.array([])
  for n in range(0,int(len(A_pos)/2)):
    stack = np.append(stack, (A_pos[2*n]*A_pos[2*n+1]) % p)
    if n == K:
      break
  for n in range(0,int(len(A_neg)/2)):
    stack = np.append(stack, (A_neg[2*n]*A_neg[2*n+1]) % p)
    if n == K:
      break
  stack = np.sort(stack)[::-1]
  for n in range(0,K):
    s = (s * stack[n]) % p
else:
  Index = np.sort(abs(A_np))
  A_sort = A_np[Index-1]
  for n in range(0,K):
    s = (s * A_sort[n]) % p
print(int(s))
  

Fixed submission:
import math
N = int(input())
print(math.ceil(N/1000)*1000-N)
Buggy python submission (verdict: Time Limit Exceeded):
N, Q = map(int, input().split())
S = input()
for _ in range(Q):
  ans = 0
  l, r = map(int, input().split())
  for i in range(l - 1, r - 1):
      if S[i] == "A" and S[i + 1] == "C":
         ans += 1
  print(ans)

Fixed submission:
N, Q = map(int, input().split())
S = input()
ac = [0, 0]
for i in range(len(S) - 1):
  if S[i] == "A" and S[i + 1] == "C":
    ac.append(ac[-1] + 1)
  else:
    ac.append(ac[-1])
for _ in range(Q):
  l, r = map(int, input().split())
  print(ac[r] - ac[l])
Buggy python submission (verdict: Time Limit Exceeded):
s = input()
K = int(input())
dic = {}
sets = set()
for i in range(len(s)):
    sets.add(s[i])
    if s[i] not in dic:
        dic[s[i]] = [i]
    else:
        dic[s[i]].append(i)
sets = list(sets)
sets.sort()
ans = set()
c = 0
while(K > len(ans)):
    for i in dic[sets[c]]:
        for j in range(i + 1, len(s) + 1):
            ans.add(s[i:j])
    c += 1
ans = list(ans)
ans.sort()
print(ans[K - 1])

Fixed submission:
s = input()
K = int(input())
sub = set()
for i in range(len(s)):
    for j in range(i+1, len(s)+1):
        if j - i > 5:
            break
        sub.add(s[i:j])
sub = list(sub)
sub.sort()
print(sub[K-1])

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
K = int(input())
sub = set()
length = len(s)
for i in range(length):
    for j in range(i + 1, length + 1):
        sub.add(s[i:j])
ans = list(sub)
ans.sort()
print(ans[K - 1])

Fixed submission:
s = input()
K = int(input())
sub = set()
for i in range(len(s)):
    for j in range(i+1, len(s)+1):
        if j - i > 5:
            break
        sub.add(s[i:j])
sub = list(sub)
sub.sort()
print(sub[K-1])

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
K = int(input())
ans = []
length = len(s)
for i in range(length):
    for j in range(i + 1, length + 1):
        if s[i:j] not in ans:
            ans.append(s[i:j])
ans.sort()
print(ans[K - 1])

Fixed submission:
s = input()
K = int(input())
sub = set()
for i in range(len(s)):
    for j in range(i+1, len(s)+1):
        if j - i > 5:
            break
        sub.add(s[i:j])
sub = list(sub)
sub.sort()
print(sub[K-1])
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
X = list(map(int, input().split()))

for i in range(N):
    tmp = X[:i] + X[i + 1:]
    tmp.sort()
    print(tmp[N // 2 - 1])

Fixed submission:
N = int(input())
X = list(map(int, input().split()))
tmp = X[:]
tmp.sort()
left, right = (tmp[N // 2 - 1], tmp[N // 2])
for i in range(N):
    if X[i] > left:
        print(left)
    else:
        print(right)
Buggy python submission (verdict: Time Limit Exceeded):
A, B, K = map(int, input().split())
for n in range(A, B + 1):
    if A + K > n or n > B - K:
        print(n)

Fixed submission:
A, B, K = map(int, input().split())
for n in range(A, A + K):
    if B >= n:
        print(n)
if A + K > B:
    K = 0
elif A + K > B - K:
    K = B - A - K + 1
for n in range(B - K + 1, B + 1):
    print(n)
Buggy python submission (verdict: Time Limit Exceeded):
def mahou(p2, p1):
    return abs(p2[0] - p1[0]) + abs(p2[1] - p1[1])

H, W, D = map(int, input().split())
A = [list(map(int, input().split())) for i in range(H)]
Q = int(input())
LR = [list(map(int, input().split())) for i in range(Q)]

Map = [[0, 0] for i in range(H * W + 1)]
for i in range(len(A)):
    for j in range(len(A[i])):
        Map[A[i][j]] = [i + 1, j + 1]
        
for l, r in LR:
    ans = 0
    for i in range(l, r, D):
        ans += mahou(Map[i + D], Map[i])
    print(ans)

Fixed submission:
def mahou(p2, p1):
    return abs(p2[0] - p1[0]) + abs(p2[1] - p1[1])

H, W, D = map(int, input().split())
A = [list(map(int, input().split())) for i in range(H)]
Q = int(input())
LR = [list(map(int, input().split())) for i in range(Q)]

Map = [[0, 0] for i in range(H * W + 1)]
for i in range(len(A)):
    for j in range(len(A[i])):
        Map[A[i][j]] = [i + 1, j + 1]

keiro = [[0 for i in range(D)] for j in range(H * W // D + 1)]

for i in range(D, H * W):
    keiro[i // D][i % D] = mahou(Map[i + 1], Map[i + 1 - D]) + keiro[i // D - 1][i % D]
        
for l, r in LR:
    print(keiro[(r - 1) // D][(r - 1) % D] - keiro[(l - 1) // D][(l - 1) % D])
Buggy python submission (verdict: Runtime Error):
H,W = list(map(int, input().split()))
moji = ''
char = {}
for i in range(H):
    moji += input()
for m in moji:
    if m in char:
        char[m] += 1
    else:
        char.update({m:1})

four = 0
two = 0
one = 0
for c in char:
    four += int(char[c] / 4)
    two += int(char[c]%4/2)
    one += int(char[c]%2)

ans = [(H//2)*(W//2), (H//2)*(W%2)+(H%2)*(W//2), (H%2)*(W%2)]
four -= ans[0]
while(four > 0):
    four -= 1
    ans[1] -= 2
if two == ans[1] and one == ans[2]:
    print("Yes")
else:
    print("No")

Fixed submission:
present = input()
if(present[:4] == 'YAKI'):
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
hoge = [int(x) for x in input().split()]
moji = ''
char = {}
for i in range(hoge[0]):
    moji += input()
for m in moji:
    if m in char:
        char[m] += 1
    else:
        char.update({m:1})

four = 0
two = 0
one = 0
for c in char:
    while(char[c] > 0):
        four += char[c] / 4:
        two += char[c]%4/2:
        one += char[c]%2:

if four*4+two*2+one == hoge[0]*hoge[1]:
    print("Yes")
else:
    print("No")

Fixed submission:
present = input()
if(present[:4] == 'YAKI'):
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
hoge = [int(x) for x in input().split()]
moji = ''
char = {}
for i in range(hoge[0]):
    moji += input()
for m in moji:
    if m in char:
        char[m] += 1
    else:
        char.update({m:1})

four = 0
two = 0
one = 0
for c in char:
    while(char[c] > 0):
        four += char[c] / 4:
        two += char[c]%4/2:
        one += char[c]%2:

if four*4+two*2+one == hoge[0]*hoge[1]:
    print("Yes")
else:
    print("No")

Fixed submission:
H,W = list(map(int, input().split()))
moji = ''
char = {}
for i in range(H):
    moji += input()
for m in moji:
    if m in char:
        char[m] += 1
    else:
        char.update({m:1})

four = 0
two = 0
one = 0
for c in char:
    four += int(char[c] / 4)
    two += int(char[c]%4/2)
    one += int(char[c]%2)

ans = [(H//2)*(W//2), (H//2)*(W%2)+(H%2)*(W//2), (H%2)*(W%2)]
four -= ans[0]
while(four > 0):
    four -= 1
    ans[1] -= 2
if two == ans[1] and one == ans[2]:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
s = input()

if "RRR" in s:
    ans = 3
elif "RR" in s:
    ans = 2
elif "R" in s:
    ans = 1

print(ans)


Fixed submission:
s = input()

if "RRR" in s:
    ans = 3
elif "RR" in s:
    ans = 2
elif "R" in s:
    ans = 1
else:
    ans = 0

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

ans = 1
for x in l:
    if x == 0:
        ans = 0
        break
    ans = ans * x

if ans > 1000000000000000000:
    ans = -1

print(ans)


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

import sys
if l.count(0) > 0:
    print(0)
    sys.exit()

ans = 1
for x in l:

    ans = ans * x

    if ans > 1000000000000000000:
        print(-1)
        sys.exit()

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

l = []

ans = 1

s = input()
l.append(s)

for i in range(N-1):
    s = input()
    t = s in l
    if t == False:
        ans += 1
        l.append(s)

print(ans)







Fixed submission:
N = int(input())

l = []

for i in range(N):
    l.append(input())

print(len(set(l)))
Buggy python submission (verdict: Time Limit Exceeded):
import math

k = int(input())
A = 0

def gcd(a,b,c):
    d = math.gcd(a,b)
    e = math.gcd(d,c)
    return e

for a in range(1,k+1):
    for b in range(1,k+1):
        for c in range(1,k+1):
            y = gcd(a,b,c)
            A += y

print(A)





Fixed submission:
import math

k = int(input())
A = 0

for a in range(1,k+1):
    for b in range(1,k+1):
        p = math.gcd(a,b)
        for c in range(1,k+1):
            y = math.gcd(p,c)
            A += y

print(A)

Buggy python submission (verdict: Time Limit Exceeded):
import math

k = int(input())
A = 0

def gcd(a,b,c):
    d = math.gcd(a,b)
    e = math.gcd(d,c)
    return e

for a in range(k):
    for b in range(k):
        for c in range(k):
            y = gcd(a+1,b+1,c+1)
            A += y

print(A)





Fixed submission:
import math

k = int(input())
A = 0

for a in range(1,k+1):
    for b in range(1,k+1):
        p = math.gcd(a,b)
        for c in range(1,k+1):
            y = math.gcd(p,c)
            A += y

print(A)
Buggy python submission (verdict: Runtime Error):
N = int(input())
P = list(map(int, input().split()))

ans=0
p_min=S[0]
for i in range(N):
    if p_min >= P[i]:
        ans += 1
        p_min = P[i]

print(ans)


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

ans=0
p_min=P[0]
for i in range(N):
    if p_min >= P[i]:
        ans += 1
        p_min = P[i]

print(ans)

Buggy python submission (verdict: Runtime Error):
N = int(input())
P = list(map(int, input().split()))

ans=0
p_min=S[0]
for i in range(N):
    if p_min >= P[i]:
        ans++
        p_min = P[i]

print(ans)


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

ans=0
p_min=P[0]
for i in range(N):
    if p_min >= P[i]:
        ans += 1
        p_min = P[i]

print(ans)
Buggy python submission (verdict: Runtime Error):
nums = [int(x) for x in input().split()]

sign = [1] * 4
for x in range(4):
    if nums[x] < 0:
        sign[x] = 0

result = min(nums[0:2]) * min(nums[2:])

if sum(sign) == 1:
    result = max(a[0:2]) * max(a[2:])

if sum(sign) == 2:
    if (sign[0] == 1 and sign[1]) or (sign[2] == 1 and sign[3] == 1):
        if sign[0] == 1:
             result = max(nums[0:2]) * min(nums[2:])
        elif sign[2] == 0:
             result = min(nums[0:2]) * max(nums[2:])

print(result)


Fixed submission:
nums = [int(x) for x in input().split()]

sign = [0] * 4
for x in range(4):
    if nums[x] < 0:
        sign[x] = 1

result = min(nums[0:2]) * min(nums[2:])

if sum(sign) == 1 or sum(sign) == 0:
    result = max(nums[0:2]) * max(nums[2:])

if sum(sign) == 2:
    if (sign[0] == 1 and sign[1]) or (sign[2] == 1 and sign[3] == 1):
        if sign[0] == 1:
             result = max(nums[0:2]) * min(nums[2:])
        elif sign[2] == 1:
             result = min(nums[0:2]) * max(nums[2:])
    else:
        cur1 = nums[0] * nums[2]
        cur2 = nums[1] * nums[3]
        if abs(cur1) > abs(cur2):
            result = cur1
        else:
            result = cur2
print(result)
Buggy python submission (verdict: Runtime Error):
D,T,S = int(input().split())

if T*S >= D:
    print("Yes")
else:
    print("No")

Fixed submission:
D,T,S = [int(x) for x in input().split()]

if T*S >= D:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
A,B,C = [int(x) for x in input().split()]
K=input()

while(A>B):
  K-=1
  if K==0:
    print("No")
    exit()
  B=B*2

while(B>C):
  C=C*2
  if K==1:
    break
  K-=1
  if K==0:
    print("No")
    exit()


Fixed submission:
A,B,C = [int(x) for x in input().split()]
K=int(input())
 
while(A>=B and K>0):
  B=B*2
  K-=1
 
while(B>=C and K>0):
  C=C*2
  K-=1

if B>A and C>B:
  print("Yes")
else:
  print("No")

Buggy python submission (verdict: Runtime Error):
A,B,C = [int(x) for x in input().split()]
K=input()

while(A>B):
  K-=1
  if K==0:
    print("No")
    exit()
  B=B*2

while(B>C):
  C=C*2
  if K==1:
    break
  K-=1
  if K==0:
    print("No")
    exit()

print("Yes")


Fixed submission:
A,B,C = [int(x) for x in input().split()]
K=int(input())
 
while(A>=B and K>0):
  B=B*2
  K-=1
 
while(B>=C and K>0):
  C=C*2
  K-=1

if B>A and C>B:
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
N,K=[int(x) for x in input().split()]
A=[int(x) for x in input().split()]

for x in range(K,N):
  if a[x]>a[x-K]:
    print("Yes")
  else:
    print("No")

Fixed submission:
N,K=[int(x) for x in input().split()]
a=[int(x) for x in input().split()]

for x in range(K,N):
  if a[x]>a[x-K]:
    print("Yes")
  else:
    print("No")