Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
# -*- using utf8 -*-
import sys
inputlinevec = sys.stdin.readline().strip().split(' ')
n = int(inputlinevec[0])
x = int(inputlinevec[1])
m = int(inputlinevec[2])

sum_res = x
crcle_list = list()
crcle_idx = 0
pre_a = x

for idx in range(1, n):
    #a范围在0-m之间，不会无限递增，因此很大概率会重复
    #a * a % m这种单变量的式子，一旦a出现了之前出现过的值
    #后续就会出现重复的序列，然后循环
    this_a = (pre_a * pre_a) % m
    pre_a = this_a
    
    if this_a not in crcle_list:
        crcle_list.append(this_a)
        sum_res = sum_res + this_a
    else:
        crcle_step = len(crcle_list) - crcle_list.index(this_a)
        remain_crcle = int((n - idx) / crcle_step)
        remain_crcle_tail = int((n - idx) % crcle_step)
        
        crcle_sum = 0
        crcle_sum_tail = 0
        for a_item in crcle_list[crcle_list.index(this_a):]:
            crcle_sum = crcle_sum + a_item
            remain_crcle_tail = remain_crcle_tail - 1
            if remain_crcle_tail == 0:
                crcle_sum_tail = crcle_sum
        sum_res = sum_res + (remain_crcle * crcle_sum) + crcle_sum_tail
        break
        
    
print(sum_res)

Fixed submission:
# -*- using utf8 -*-
import sys
inputlinevec = sys.stdin.readline().strip().split(' ')
n = int(inputlinevec[0])
x = int(inputlinevec[1])
m = int(inputlinevec[2])

sum_res = x
crcle_dict = dict()
crcle_list = list()
crcle_idx = 0
pre_a = x

for idx in range(1, n):
    #a范围在0-m之间，不会无限递增，因此很大概率会重复
    #a * a % m这种单变量的式子，一旦a出现了之前出现过的值
    #后续就会出现重复的序列，然后循环
    this_a = (pre_a * pre_a) % m
    pre_a = this_a
    
    if this_a not in crcle_dict:
        crcle_dict[this_a] = 1
        crcle_list.append(this_a)
        sum_res = sum_res + this_a
    else:
        crcle_step = len(crcle_list) - crcle_list.index(this_a)
        remain_crcle = int((n - idx) / crcle_step)
        remain_crcle_tail = int((n - idx) % crcle_step)
        
        crcle_sum = 0
        crcle_sum_tail = 0
        for a_item in crcle_list[crcle_list.index(this_a):]:
            crcle_sum = crcle_sum + a_item
            remain_crcle_tail = remain_crcle_tail - 1
            if remain_crcle_tail == 0:
                crcle_sum_tail = crcle_sum
        sum_res = sum_res + (remain_crcle * crcle_sum) + crcle_sum_tail
        break
    
print(sum_res)
Buggy python submission (verdict: Runtime Error):
import sys
x = int(sys.stdin.read().strip())
print int(not x)

Fixed submission:
import sys
x = int(sys.stdin.read().strip())
print(int(not x))
Buggy python submission (verdict: Runtime Error):
package main

import (
	"fmt"
	"math"
	"sort"
)

func main() {
	var X, N int
	fmt.Scanf("%d", &X)
	fmt.Scanf("%d", &N)

	P := make([]int, N)
	for i := 0; i < N; i++ {
		fmt.Scanf("%d", &P[i])
	}
	sort.Ints(P)
	fmt.Println(P)

	var a int = -1
	if len(P) > 0 {
		for p := 0; p < 102; p++ {
			if math.Abs(float64(X) - float64(p)) < math.Abs(float64(X) - float64(a)) && !Contain(P, p) {
				a = p
			}
		}
	} else {
		a = X
	}
	fmt.Println(a)
}

func Contain(s []int, e int) bool {
	for _, v := range s {
		if e == v {
			return true
		}
	}
	return false
}


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

a = -1
if len(P) > 0:
    for p in range(0, 102):
        if abs(X - p) < abs(X - a) and (p not in P):
            a = p
else:
    a = X

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

cnt = 0
for i in range(N):
    for j in range(N):
        if i != j and A[i] % A[j] == 0:
            break
        elif i != j and A[j] >= A[i]:
            cnt += 1
            break
        elif j == N-1:
            cnt += 1

print(cnt)


Fixed submission:
N = int(input())
A = sorted(list(map(int, input().split())))
Amax = max(A)

ans = [False] * (Amax + 1)
for x in A:
    for j in range(x, Amax + 1, x):
        ans[j] += 1

print(sum(ans[i] == 1 for i in A))

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

cnt = 0
for i in range(N):
    for j in range(N):
        if i != j and A[i] % A[j] == 0:
            break
        if i != j and A[j] >= A[i]:
            cnt += 1
            break
        if j == N-1:
            cnt += 1

print(cnt)


Fixed submission:
N = int(input())
A = sorted(list(map(int, input().split())))
Amax = max(A)

ans = [False] * (Amax + 1)
for x in A:
    for j in range(x, Amax + 1, x):
        ans[j] += 1

print(sum(ans[i] == 1 for i in A))

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

cnt = N
for i in range(N):
    for j in range(N):
        if i != j and A[i] % A[j] == 0:
            cnt -= 1
            break

print(cnt)


Fixed submission:
N = int(input())
A = sorted(list(map(int, input().split())))
Amax = max(A)

ans = [False] * (Amax + 1)
for x in A:
    for j in range(x, Amax + 1, x):
        ans[j] += 1

print(sum(ans[i] == 1 for i in A))
Buggy python submission (verdict: Runtime Error):
a, v = map(int, input().split())
b, w = map(int, input().split())
t = int(input())

delta_t = abs(a - b)/abs(v - w) - 1

if v <= w:
    print("No")
elif t < delta_t:
    print("No")
else:
    print("Yes")

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

if v <= w:
    print("NO")
elif t < abs(a - b) / abs(v - w):
    print("NO")
else:
    print("YES")

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

delta_t = abs(a - b)/abs(v - w) - 1
print(delta_t)

if v <= w:
    print("No")
elif t < delta_t:
    print("No")
else:
    print("Yes")


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

if v <= w:
    print("NO")
elif t < abs(a - b) / abs(v - w):
    print("NO")
else:
    print("YES")
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))

x = 1
for i in range(n):
    x *= a[i]

if x > 1e18:
    print(-1)
else:
    print(x)


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

x = 1
if 0 in a:
    print(0)
else:
    for i in range(n):
        x *= a[i]
        if x > 1e18:
            print(-1)
            exit()
    print(x)
Buggy python submission (verdict: Time Limit Exceeded):
x = int(input())

for a in range(9999):
    for b in range(9999):
        if a**5 - b**5 == x:
            print(a, b)
            exit()


Fixed submission:
x = int(input())

l5 = [i**5 for i in range(0, 10000)]
for a5 in l5:
    for b5 in l5:
        if x == a5 - b5:
            print(int(a5**(1/5)), int(b5**(1/5)))
            exit()
        elif x == a5 + b5:
            print(int(a5**(1/5)), int((-1) * b5**(1/5)))
            exit()
Buggy python submission (verdict: Time Limit Exceeded):
import math
n = int(input())
s = input()

cnt = 0

for i in range(1, n+1):
    for j in range(i+1, n+1):
        for k in range(j+1, n+1):
            if (s[i-1] != s[j-1]) and (s[i-1] != s[k-1])\
                    and (s[j-1] != s[k-1]) and j-i != k-j:
                cnt += 1
print(cnt)


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

cnt = s.count("R")*s.count("G")*s.count("B")
for i in range(0, n):
    for j in range(i+1, n):
        k = 2*j - i
        if s[i] == s[j] or k >= n or s[k] == s[i] or s[k] == s[j]:
            continue
        else:
            cnt -= 1

print(cnt)
Buggy python submission (verdict: Runtime Error):
W = ["SUM", "MON", "TUE", "WED", "THU", "FRI", "SAT"]
S = input()
print(len(W) - W.index(S))


Fixed submission:
s = input()

week = ["SUN", "MON", "TUE", "WED", "THU", "FRI", "SAT"]

for i in range(len(week)):
    if s == week[i]:
        print(len(week)-i)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = list(map(int, input().split(' ')))

prod=0

law=10**9+7

for i in range(N):
  for j in range(i+1, N):
    prod=prod+((S[i]%law)*(S[j]%law))%law
    
print(prod%law)

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

prod=0

law=10**9+7

sumation=sum(S)

for i in range(N):
  sumation=sumation-S[i]
  prod=prod+(S[i]*sumation)%law

print(prod%law)
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

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

marks = list(map(int, input().split(' ')))

stan = min(marks) - 1

marks = list(map(lambda x: x - stan, marks))

# print(marks)

scores = np.array([ np.array([marks[K+pivot-i-1] for i in range(K)]).prod() for pivot in range(N-K+1) ])

# print(scores)

for i in range(N-K):
  if scores[i] >= scores[i+1]:
    print('No')
  else:
    print('Yes')

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

marks = list(map(int, input().split(' ')))

for i in range(N-K):
  if marks[i] < marks[K+i]:
    print('Yes')
  else:
    print('No')
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())

def getValue(initial, diff):
  initial = abs(initial - diff)
  return initial

tempValue = n

if k > 1:
  while(tempValue > getValue(tempValue, k)):
    tempValue = getValue(tempValue, k)
else:
  tempValue = 0

print(tempValue)

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

mod = n % k
candidate = abs(mod - k)

print(min(mod, candidate))
Buggy python submission (verdict: Time Limit Exceeded):
N, A, B=map(int, input().split(" "))

sum=0
flag=False
b=0

while True:
  sum=sum+A
  b=b+A
  if sum>N:
    flag=True
    break
  sum=sum+B
  if sum>N:
    break
if flag:
  print(b-(sum-N))
else:
  print(b)

Fixed submission:
N, A, B=map(int, input().split(" "))

result=A*(N//(A+B))+min(N%(A+B), A)

print(result)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
a=[]
for i in range(N):
  a.append(int(input()))
flag=True
step=[]
pivot=0
for i in range(N):
  step.append(pivot)
  if a[pivot]==2:
    break
  pivot=a[pivot]-1
  if pivot in step:
    flag=False
    break
if flag:
  print(len(step))
else:
  print(-1)

Fixed submission:
N=int(input())
a=[]
for i in range(N):
  a.append(int(input())-1)
flag=True
step=[]
pivot=0
for i in range(N+1):
  step.append(pivot)
  if a[pivot]==1:
    break
  pivot=a[pivot]

if len(step)>N:
  print(-1)
else:
  print(len(step))

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
a=[]
for i in range(N):
  a.append(int(input()))
flag=True
step=[]
pivot=0
while True:
  step.append(pivot)
  if a[pivot]==2:
    break
  pivot=a[pivot]-1
  if pivot in step:
    flag=False
    break
if flag:
  print(len(step))
else:
  print(-1)

Fixed submission:
N=int(input())
a=[]
for i in range(N):
  a.append(int(input())-1)
flag=True
step=[]
pivot=0
for i in range(N+1):
  step.append(pivot)
  if a[pivot]==1:
    break
  pivot=a[pivot]

if len(step)>N:
  print(-1)
else:
  print(len(step))
Buggy python submission (verdict: Runtime Error):
A, B, C=list(map(int, input().split(" "))
if [A, B, C].count(5)==2 and [A, B, C].count(7)==1:
  print('Yes')
else:
  print('No'))

Fixed submission:
A, B, C=list(map(int, input().split(" ")))
if ([A, B, C].count(5)==2) and ([A, B, C].count(7)==1):
  print('YES')
else:
  print('NO')
Buggy python submission (verdict: Runtime Error):
N, X, M = map(int,input().split())
if X==0:
  print(0)
  exit()
a = [X]
sa = set([X])
for i in range(1,N):
  X = (X**2)%M
  if X in sa:
    break
  else:
    a.append(X)
    sa.add(X)

if i==N-1:
  print(sum(a))
  exit()
start = a.index(X)
ans = sum(a[:start])
base = sum(a[start:])
rep = i-start
sets = (N-start)//rep
more = (N-start)%rep
ans += base*sets + sum(a[start:start+more])
print(ans)

Fixed submission:
N, X, M = map(int,input().split())
if N==1:
  print(X)
  exit()
a = [X]
sa = set([X])
for i in range(1,N):
  X = (X**2)%M
  if X in sa:
    break
  else:
    a.append(X)
    sa.add(X)

if i==N-1:
  print(sum(a))
  exit()
start = a.index(X)
ans = sum(a[:start])
base = sum(a[start:])
rep = i-start
sets = (N-start)//rep
more = (N-start)%rep
ans += base*sets + sum(a[start:start+more])
print(ans)

Buggy python submission (verdict: Runtime Error):
N, X, M = map(int,input().split())
a = [X]
sa = set([X])
for i in range(1,N):
  X = (X**2)%M
  if X in sa:
    break
  else:
    a.append(X)
    sa.add(X)

if i==N-1:
  print(sum(a))
  exit()
start = a.index(X)
ans = sum(a[:start])
base = sum(a[start:])
rep = i-start
sets = (N-start)//rep
more = (N-start)%rep
ans += base*sets + sum(a[start:start+more])
print(ans)

Fixed submission:
N, X, M = map(int,input().split())
if N==1:
  print(X)
  exit()
a = [X]
sa = set([X])
for i in range(1,N):
  X = (X**2)%M
  if X in sa:
    break
  else:
    a.append(X)
    sa.add(X)

if i==N-1:
  print(sum(a))
  exit()
start = a.index(X)
ans = sum(a[:start])
base = sum(a[start:])
rep = i-start
sets = (N-start)//rep
more = (N-start)%rep
ans += base*sets + sum(a[start:start+more])
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
K=input()
keta = len(K)
k=int(K)
if k%2==0:
  print(-1)
else:
  seven = "7"*keta
  s = int(seven)
  ans=keta-1
  while (1):
    ans+=1
    s = s%k
    if s==0:
      print(ans)
      break
    else:
      s = s*10+7


Fixed submission:
k=int(input())
if k%2==0 or k%5==0:
  print(-1)
else:
  s=7
  for i in range(k):
    if s%k==0:
      print(i+1)
      exit()
    else:
      s=(s*10+7)%k

Buggy python submission (verdict: Time Limit Exceeded):
K=input()
keta = len(K)
k=int(K)
if k%2==0:
  print(-1)
else:
  seven = "7"*keta
  s = int(seven)
  ans=keta-1
  while (1):
    ans+=1
    s = s%k
    if s==0:
      print(ans)
      break
    else:
      s = s*10+7


Fixed submission:
k=int(input())
if k%2==0 or k%5==0:
  print(-1)
else:
  s=7
  for i in range(k):
    if s%k==0:
      print(i+1)
      exit()
    else:
      s=(s*10+7)%k
Buggy python submission (verdict: Runtime Error):
N=int(input())
A=list(map(int, input().split()))

ans=0
for i in range(N):
  if (i+1)%2==1 and a[i]%2==1:
    ans+=1
print(ans)

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

ans=0
for i in range(N):
  if (i+1)%2==1 and A[i]%2==1:
    ans+=1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int, input().split()))
ans=1
for i in range(n):
  ans*=a[i]
  if ans==0:
    break
if ans>10**18:
  ans=-1
print(ans)

Fixed submission:
n=int(input())
a=list(map(int, input().split()))
if 0 in a:
  print(0)
else:
  ans=1
  a.sort(reverse=True)
  for i in range(n):
    ans*=a[i]
    if ans>10**18:
      ans=-1
      break
  print(ans)
Buggy python submission (verdict: Runtime Error):
a, b=map(int, input().split())
b*=100
ans=a*b
an=ans//100
print(an)

Fixed submission:
import decimal
a, b=input().split()
a, b=int(a), decimal.Decimal(b)
x=int(a*b)
print(x)
Buggy python submission (verdict: Runtime Error):
s=input()
print(s.replace("?", "D")

Fixed submission:
s=input()
print(s.replace("?", "D"))
Buggy python submission (verdict: Runtime Error):
s=input()
if s=="ABC:
  print("ARC")
else:
  print("ABC")

Fixed submission:
s=input()
if s=="ABC":
  print("ARC")
else:
  print("ABC")
Buggy python submission (verdict: Runtime Error):
N, K = map(int, input().split())

if K==N+1:
    print(1)
elif K==N:
    print(N+2)
else:
    
    zentori=[]
    for i in range(1,2**(N+1)):
        baai=[]
        for j in range(N+1):
            if (i>>j) & 1:
                baai.append(j)
        if len(baai)>=K:
            zentori.append((sum(baai),len(baai)))
    
    setzentori=set(zentori)
    print(int(len(setzentori)%(10**9+7)))

Fixed submission:
s=int(input())

print(2*s*3.14159265358979)
Buggy python submission (verdict: Runtime Error):
N=int(input())
A = list(map(int, input().split()))

if N==2:
    print(1)
    print(0)
else:
    from collections import deque
    da=deque(A)
    
    import numpy as np
    ansl=np.array([0]*N)
    
    for i in range(N-1):
        ansl[da.pop()-1]+=1
    
    for i in ansl:
        print(i)

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

if N==2:
    print(1)
    print(0)
else:
    from collections import deque
    da=deque(A)
    
    import numpy as np
    ansl=np.array([0]*N)
    
    for i in range(N-1):
        ansl[da.pop()-1]+=1
    
    for i in ansl:
        print(i)
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())

if K==N+1:
    print(1)
elif K==N:
    print(N+2)
else:
    import itertools
    import numpy as np
    ln=range(N+1)
    ans=0
    for i in range(K,N+2):
        l=np.array(list(itertools.combinations(ln, i)))
        ans+=len(set(l.sum(axis=1)))
    
    print(int(ans%(10**9+7)))

Fixed submission:
N, K = map(int, input().split())
 
if K==N+1:
    print(1)
elif K==N:
    print(N+2)
else:
    def tousawa(shokou, makkou, kosu):
        return int((shokou+makkou)*kosu/2)
    
    ans=0
    for i in range(K,N+2):
        ans+=tousawa(N-i+1,N,i)-tousawa(0,i-1,i)+1
    print(int(ans%(10**9+7)))

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

if K==N+1:
    print(1)
elif K==N:
    print(N+2)
else:
    
    zentori=[]
    for i in range(2**(K-1),2**(N+1)):
        baai=[]
        for j in range(N+1):
            if (i>>j) & 1:
                baai.append(j)
        if len(baai)>=K:
            zentori.append((sum(baai),len(baai)))
    
    setzentori=set(zentori)
    print(int(len(setzentori)%(10**9+7)))

Fixed submission:
N, K = map(int, input().split())
 
if K==N+1:
    print(1)
elif K==N:
    print(N+2)
else:
    def tousawa(shokou, makkou, kosu):
        return int((shokou+makkou)*kosu/2)
    
    ans=0
    for i in range(K,N+2):
        ans+=tousawa(N-i+1,N,i)-tousawa(0,i-1,i)+1
    print(int(ans%(10**9+7)))

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

if K==N+1:
    print(1)
elif K==N:
    print(N+2)
else:
    
    zentori=[]
    for i in range(1,2**(N+1)):
        baai=[]
        for j in range(N+1):
            if (i>>j) & 1:
                baai.append(j)
        if len(baai)>=K:
            zentori.append((sum(baai),len(baai)))
    
    setzentori=set(zentori)
    print(int(len(setzentori)%(10**9+7)))

Fixed submission:
N, K = map(int, input().split())
 
if K==N+1:
    print(1)
elif K==N:
    print(N+2)
else:
    def tousawa(shokou, makkou, kosu):
        return int((shokou+makkou)*kosu/2)
    
    ans=0
    for i in range(K,N+2):
        ans+=tousawa(N-i+1,N,i)-tousawa(0,i-1,i)+1
    print(int(ans%(10**9+7)))
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
k=int(input())
 
from math import gcd
s6=0
for i in range(2,k-1):
    for j in range(i+1,k):
        for jj in range(j+1,k+1):
            s6+=np.gcd(np.gcd(i,j),jj)
 
s3=0
for i in range(2,k):
    for j in range(i+1,k+1):
        s3+=np.gcd(i,j)
 
s1=int((k+1)*k/2)
 
 
print(s1+s3*6+s6*6+(k-1)*6+(k-2)*(k-1)*3)

Fixed submission:

k=int(input())
 
from math import gcd
s6=0
for i in range(2,k-1):
    for j in range(i+1,k):
        for jj in range(j+1,k+1):
            s6+=gcd(gcd(i,j),jj)
 
s3=0
for i in range(2,k):
    for j in range(i+1,k+1):
        s3+=gcd(i,j)
 
s1=int((k+1)*k/2)
 
 
print(s1+s3*6+s6*6+(k-1)*6+(k-2)*(k-1)*3)

Buggy python submission (verdict: Time Limit Exceeded):

k=int(input())

import numpy as np
import itertools as itr

s6=list(itr.combinations(list(range(2,k+1)),3))
s3=list(itr.combinations(list(range(2,k+1)),2))

ans=0
for i in s6:
    ans+=np.gcd.reduce(i)

for i in s3:
    ans+=np.gcd.reduce(i)

ans*=6

ans+=(k+1)*k/2

ans+=(k-1)*6+(k-1)*(k-2)*3

print(int(ans))

Fixed submission:

k=int(input())
 
from math import gcd
s6=0
for i in range(2,k-1):
    for j in range(i+1,k):
        for jj in range(j+1,k+1):
            s6+=gcd(gcd(i,j),jj)
 
s3=0
for i in range(2,k):
    for j in range(i+1,k+1):
        s3+=gcd(i,j)
 
s1=int((k+1)*k/2)
 
 
print(s1+s3*6+s6*6+(k-1)*6+(k-2)*(k-1)*3)

Buggy python submission (verdict: Time Limit Exceeded):

k=int(input())

import numpy as np
s6=0
for i in range(2,k-1):
    for j in range(i+1,k):
        for jj in range(j+1,k+1):
            #print(i,j,jj)
            s6+=np.gcd.reduce([i,j,jj])

s3=0
for i in range(2,k):
    for j in range(i+1,k+1):
        #print(i,j)
        s3+=np.gcd.reduce([i,j])

s1=sum(list(range(1,k+1,1)))


print(s1+s3*6+s6*6+(k-1)*6+(k-2)*(k-1)*3)

Fixed submission:

k=int(input())
 
from math import gcd
s6=0
for i in range(2,k-1):
    for j in range(i+1,k):
        for jj in range(j+1,k+1):
            s6+=gcd(gcd(i,j),jj)
 
s3=0
for i in range(2,k):
    for j in range(i+1,k+1):
        s3+=gcd(i,j)
 
s1=int((k+1)*k/2)
 
 
print(s1+s3*6+s6*6+(k-1)*6+(k-2)*(k-1)*3)

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

import numpy as np
s6=0
for i in range(k-2):
    for j in range(i+1,k-1):
        for jj in range(j+1,k):
            s6+=np.gcd.reduce([i+1,j+1,jj+1])

s3=0
for i in range(k-1):
    for j in range(i+1,k):
        s3+=np.gcd.reduce([i+1,j+1])

s1=sum(list(range(1,k+1,1)))

print(s1+s3*6+s6*6)

Fixed submission:

k=int(input())
 
from math import gcd
s6=0
for i in range(2,k-1):
    for j in range(i+1,k):
        for jj in range(j+1,k+1):
            s6+=gcd(gcd(i,j),jj)
 
s3=0
for i in range(2,k):
    for j in range(i+1,k+1):
        s3+=gcd(i,j)
 
s1=int((k+1)*k/2)
 
 
print(s1+s3*6+s6*6+(k-1)*6+(k-2)*(k-1)*3)
Buggy python submission (verdict: Time Limit Exceeded):
import collections

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

c=collections.Counter(A)
kazu=list(c.values())
kazu1=[i*(i-1)/2 for i in kazu]

for k in range(N):
    sub=c[A[k]]-1
    print(int(sum(kazu1)-sub))

Fixed submission:
import collections
import numpy as np

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

c=collections.Counter(A)
kazu=list(c.values())
a=np.array(kazu)
sn=a*(a-1)/2
s=sum(sn)
for k in range(N):
    sub=c[A[k]]-1
    print(int(s-sub))

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

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

c=collections.Counter(A)
kazu=list(c.values())
kazu1=[i*(i-1)/2 for i in kazu]

for k in range(N):
    sub=c[A[k]]-1
    print(int(sum(kazu1)-sub))

Fixed submission:
import collections
import numpy as np

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

c=collections.Counter(A)
kazu=list(c.values())
a=np.array(kazu)
sn=a*(a-1)/2
s=sum(sn)
for k in range(N):
    sub=c[A[k]]-1
    print(int(s-sub))

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

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

c=collections.Counter(A)
kazu=list(c.values())
kazu1=[i*(i-1)/2 for i in kazu if i>1]

for k in range(N):
    sub=c[A[k]]-1
    print(int(sum(kazu1)-sub))

Fixed submission:
import collections
import numpy as np

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

c=collections.Counter(A)
kazu=list(c.values())
a=np.array(kazu)
sn=a*(a-1)/2
s=sum(sn)
for k in range(N):
    sub=c[A[k]]-1
    print(int(s-sub))
Buggy python submission (verdict: Runtime Error):
h, w=map(int, input().split())
if h==1 or w==1:
  print(1)
else:
  ans=(h*w)///2
  if h*w%2==1:
    print(ans+1)
  else:
    print(ans)

Fixed submission:
h, w=map(int, input().split())
if h==1 or w==1:
  print(1)
else:
  ans=(h*w)//2
  if h*w%2==1:
    print(ans+1)
  else:
    print(ans)