Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
l,r=map(int,input().split())
L=l%2019
R=r%2019
ans=2019
if l+2019<=r:
        print(0)
elif L>R:
        print(0)
else:
        for i in range(L,R+1):
                for j in range(i+1,R+!):
                        ans=min(ans,(i*j)%2019)
        print(ans)

Fixed submission:
l,r=map(int,input().split())
L=l%2019
R=r%2019
ans=2019
if l+2019<=r:
        print(0)
elif L>R:
        print(0)
else:
        for i in range(L,R+1):
              for j in range(i+1,R+1):
                        ans=min(ans,(i*j)%2019)
        print(ans)
Buggy python submission (verdict: Runtime Error):
from scipy.special import comb
n,k=map(int,input().split())
mod=10**9+7
ans=[n-k+1]
for i in range(2,k+1):
        if n-k+1<i:
                ans.append(0)
        else:
                k_sep=(comb(k-1,i-1,exact=True))%mod
                if n-k==i-1:
                        l_sep=1
                elif n-k==i:
                        l_sep=n-k+1
                else:
                        l_sep=(comb(n-k-1,i-2,exact=True)+2*comb(n-k-1,i-1,exact=True)+comb(n-k-1,i,exact=True))%mod
                ans.append(k_sep*l_sep)
for ii in range(k):
        print(ans[ii])

Fixed submission:
from math import factorial

def combinations_count(n, r):
    ''' 組み合わせ '''
    return factorial(n) // (factorial(n - r) * factorial(r))

n,k=map(int,input().split())
mod=10**9+7
ans=[n-k+1]
for i in range(2,k+1):
        if n-k+1<i:
                ans.append(0)
        else:
                k_sep=(combinations_count(k-1,i-1))%mod
                if n-k==i-1:
                        l_sep=1
                elif n-k==i:
                        l_sep=n-k+1
                else:
                        l_sep=(combinations_count(n-k-1,i-2)+2*combinations_count(n-k-1,i-1)+combinations_count(n-k-1,i))%mod
                ans.append((k_sep*l_sep)%mod)
for ii in range(k):
        print(ans[ii])
Buggy python submission (verdict: Runtime Error):
#include<iostream>
#include<vector>
#include<bitset>
#include<string>
#include<cmath>
#include<algorithm>
#include<stack>
#include<list>
#include<queue>
#include<map>
#include<numeric>
using namespace std;
#define rep(i,x) for(int i=0;i<x;i++)
#define re(i,x,y) for(int i=x;i<y;i++)
int INF=1e9;
const long long mod=1e9+7;
typedef long long ll;

int main(){
  ll A,B,C,D;
  cin>>A>>B>>C>>D;
  D=max(C,D),C=min(C,D);
  ll E=__gcd(C,D);
  ll lcm=C*D/E;
  ll F=(A-1)/C;
  ll G=B/C;
  ll H=(A-1)/D;
  ll I=B/D;
  ll J=(A-1)/lcm;
  ll K=B/lcm;
  cout<<(B-A+1)-(G-F)-(I-H)+(K-J)<<endl;
  return 0;
}

Fixed submission:
from fractions import gcd
a,b,c,d=map(int,input().split())
lcm=c*d//gcd(c,d)
nc=b//c-a//c
nd=b//d-a//d
nlcm=b//lcm-a//lcm
if a%c==0:
  nc+=1
if a%d==0:
  nd+=1
if a%lcm==0:
    nlcm+=1
print(b-a+1-nc-nd+nlcm)
Buggy python submission (verdict: Runtime Error):
n,m=map(int,input().split())
a=[]
for i in range(m):
  a.append(int(input()))
a=set(a)
dp=[0]*(n+1)
dp[0]=1
if 1 in a:
  dp[1]=0
else:
  dp[1]=1
for i in range(2,n+1):
  if i in a:
    dp[i]=0
  else:
    dp[i]=dp[i-1]+dp[i-2]
print(dp[n]%1000000007)


Fixed submission:
a=list(map(int,input().split()))
print(sum(a)-max(a))

Buggy python submission (verdict: Runtime Error):
n,m=map(int,input().split())
a=[int(input()) for i in range(m)]
mod=1000000007
dp=[1,1]
if 1 in a:
  dp[1]=0
for i in range(2,n+1):
  if i in a:
    dp.append(0)
  else:
    dp.append((dp[-1]+dp[-2])%mod)
print(dp[-1]%mod)

Fixed submission:
a=list(map(int,input().split()))
print(sum(a)-max(a))
Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
cal=0
for i in range(1,n+1):
  for j in range(100000):
    if i*2**j<k and i*2**(j+1)>=k:
      cal+=(1/2)**(j+1)
      break
print(cal/n)

Fixed submission:
n,k=map(int,input().split())
cal=0
for i in range(1,n+1):
  for j in range(1,20):
    if i>=k:
      cal+=1
      break
    elif i*2**(j-1)<k and i*2**j>=k:
      cal+=(1/2)**(j)
      break
print(cal/n)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
s=input()
ans=n+1
for i in range(n+1):
  a=s[:i].count("#")+s[i:].count(".")
  ans=min(ans,a)
print(ans)


Fixed submission:
n=int(input())
s=input()
a=s.count(".")
ans=a
for i in range(n):
  if s[i]==".":
    a-=1
  else:
    a+=1
  ans=min(ans,a)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
s=input()
ans=float("inf")
for i in range(n+1):
  a=s[:i].count("#")+s[i:].count(".")
  ans=min(ans,a)
print(ans)


Fixed submission:
n=int(input())
s=input()
a=s.count(".")
ans=a
for i in range(n):
  if s[i]==".":
    a-=1
  else:
    a+=1
  ans=min(ans,a)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
s=input()
ans=float("inf")
for i in range(n+1):
  a=s[:i].count("#")+s[i:].count(".")
  ans=min(ans,a)
print(ans)

Fixed submission:
n=int(input())
s=input()
a=s.count(".")
ans=a
for i in range(n):
  if s[i]==".":
    a-=1
  else:
    a+=1
  ans=min(ans,a)
print(ans)
Buggy python submission (verdict: Runtime Error):
a=int(input())
b=int(input())
c=int(input())
d=int(input())
e=int(input())
k=int(input())
if b-a<=k and c-b<=k and d-c<=k and e-d<=K:
  print(":(")
else:
  print("Yay!")

Fixed submission:
a=int(input())
b=int(input())
c=int(input())
d=int(input())
e=int(input())
k=int(input())
if e-a<=k:
  print("Yay!")
else:
  print(":(")
Buggy python submission (verdict: Runtime Error):
d=int(input())
if d=25:
  print("Christmas")
elif d=24:
  print("Christmas Eve")
elif d=23:
  print("Christmas Eve Eve")
else:
  print("Christmas Eve Eve Eve")

Fixed submission:
d=int(input())
if d==25:
  print("Christmas")
elif d==24:
  print("Christmas Eve")
elif d==23:
  print("Christmas Eve Eve")
else:
  print("Christmas Eve Eve Eve")
Buggy python submission (verdict: Runtime Error):
81 58

Fixed submission:
a,b=map(int,input().split())
print(int(a+b/2))
Buggy python submission (verdict: Runtime Error):
n=int(input())
a=int(input())
b=int(input())
if n==1:
  print("Hello World")
else:
  print(a+b)

Fixed submission:
n=int(input())
if n==2:
  a=int(input())
  b=int(input())
if n==1:
  print("Hello World")
else:
  print(a+b)
Buggy python submission (verdict: Runtime Error):
s=input()
k=int(input())
n=len(s)
li=[]
for i in range(min(n,k)):
  for j in range(n-i):
    li.append(s[j:j+i+1])
li.sort()
print(li[k])

Fixed submission:
s=input()
k=int(input())
n=len(s)
li=[]
for i in range(min(n,k)):
  for j in range(n-i):
    li.append(s[j:j+i+1])
li=set(li)
li=list(li)
li.sort()
print(li[k-1])
Buggy python submission (verdict: Runtime Error):
import collections
n,k=map(int,input().split())
a=list(map(int,input().split()))
c=collections.Counter(a)
d=c.most_common()
ans=0
for i in range(k):
  ans+=d[i][1]
print(n-ans)

Fixed submission:
import collections
n,k=map(int,input().split())
a=list(map(int,input().split()))
c=collections.Counter(a)
d=c.most_common()
ans=0
for i in range(min(k,len(d))):
  ans+=d[i][1]
print(n-ans)

Buggy python submission (verdict: Runtime Error):
import collections
n,k=map(int,input().split())
a=list(map(int,input().split()))
cnt=collections.Counter(a)
cnt.most_common()
ans=0
for i in range(k):
  print(ans[i][1])
  ans+=cnt[i][1]
peint(ans)

Fixed submission:
import collections
n,k=map(int,input().split())
a=list(map(int,input().split()))
c=collections.Counter(a)
d=c.most_common()
ans=0
for i in range(min(k,len(d))):
  ans+=d[i][1]
print(n-ans)
Buggy python submission (verdict: Runtime Error):
2
6 8
3 3

Fixed submission:
n=int(input())
l=[0]*n
r=[0]*n
for i in range(n):
  l[i],r[i]=map(int,input().split())
ans=0
for i in range(n):
  ans+=r[i]-l[i]+1
print(ans)
Buggy python submission (verdict: Runtime Error):
n=int(input())
a=list(map(int,input().split()))
m=max(a)
cnt=[0]*(m+1)
for i in range(m+1):
  cnt[i]=a.count(i)
ans=[0]*(m-1)
for j in range(m-1):
  ans[j]=cnt[j]+cnt[j+1]+cnt[j+2]
print(max(ans))

Fixed submission:
import collections

n=int(input())
a=list(map(int,input().split()))
m=max(a)
cnt=collections.Counter(a)
if m==0:
  print(len(a))
else:
  ans=[0]*(m-1)
  for j in range(m-1):
    ans[j]=cnt[j]+cnt[j+1]+cnt[j+2]
  print(max(ans))

Buggy python submission (verdict: Runtime Error):
n=int(input())
a=list(map(int,input().split()))
m=max(a)
cou=[0]*m
for i in range(m):
  cou[i]=a.count(i-1)+a.count(i)+a.count(i+1)
print(max(cou))

Fixed submission:
import collections

n=int(input())
a=list(map(int,input().split()))
m=max(a)
cnt=collections.Counter(a)
if m==0:
  print(len(a))
else:
  ans=[0]*(m-1)
  for j in range(m-1):
    ans[j]=cnt[j]+cnt[j+1]+cnt[j+2]
  print(max(ans))
Buggy python submission (verdict: Runtime Error):
0 33 66 99

Fixed submission:
a,b,c,d=map(int,input().split())
if b<=c or d<=a:
  print(0)
elif a<c:
  print(min(d,b)-c)
else:
  print(min(b,d)-a)
Buggy python submission (verdict: Runtime Error):
o=input()
e=input()
O=len(o)
E=len(e)
ans=''
if O==E:
  for i in range(O):
    ans+=o[i]+e[i]
if O+1==E:
  for i in range(O):
    ans+=o[i]+e[i]
  ans+=e[-1]
if O-1==E:
  for i in range(O):
    ans+=o[i]+e[i]
  ans+=o[-1]
print(ans)

Fixed submission:
o=input()
e=input()
O=len(o)
E=len(e)
ans=''
if O==E:
  for i in range(O):
    ans+=o[i]+e[i]
if O+1==E:
  for i in range(O):
    ans+=o[i]+e[i]
  ans+=e[-1]
if O-1==E:
  for i in range(E):
    ans+=o[i]+e[i]
  ans+=o[-1]
print(ans)
Buggy python submission (verdict: Runtime Error):
n,a,b=map(int,input().split())
x=list(map(int,input().split()))
if a>=b:
  print(b*n)
else:
  d=b//a
  ans=0
  for i in range(n-1):
    if x[i+1]-x[i]>d:
      ans+=b
    else:
      ans+=(x[i+1]-x[i])*a
print(ans)

Fixed submission:
n,a,b=map(int,input().split())
x=list(map(int,input().split()))
ans=0
if a>=b:
  print(b*(n-1))
else:
  d=b//a
  
  for i in range(n-1):
    if x[i+1]-x[i]>d:
      ans+=b
    else:
      ans+=(x[i+1]-x[i])*a
  print(ans)
Buggy python submission (verdict: Runtime Error):
a,op,b=input().split()
if op='+':
  print(int(a)+int(b))
else:
  print(int(a)-int(b))

Fixed submission:
a,op,b=input().split()
if op=='+':
  print(int(a)+int(b))
else:
  print(int(a)-int(b))
Buggy python submission (verdict: Runtime Error):
#include <bits/stdc++.h>
#include <math.h>
using namespace std;
int main() {
  int n,k;
  cin>>n>>k;
  
  if (n==1){
    cout<<k<<endl;
  }
  else {
    cout<<k*pow(k-1,n-1)<<endl;
  }
}


Fixed submission:
n,k=map(int,input().split())
if n==1:
  print(k)
else:
  print(k*(k-1)**(n-1))
Buggy python submission (verdict: Runtime Error):
n=int(input())
k=int(input())
x=int(input())
y=int(input())
print(k*x+(max(0,n-k)*y)

Fixed submission:
n=int(input())
k=int(input())
x=int(input())
y=int(input())
print(min(n,k)*x+max(0,n-k)*y)
Buggy python submission (verdict: Runtime Error):
s=input()
ans=[]
for i in range(len(s)):
  if s[i]=='0':
    ans.append(0)
  elif s[i]=='1':
    ans.append(1)
  else:
    ans.pop()
for j in range(len(ans)):
  print(ans[j],end='')

Fixed submission:
s=input()
ans=[]
for i in range(len(s)):
  if s[i]=='0':
    ans.append(0)
  elif s[i]=='1':
    ans.append(1)
  elif ans==[]:
    continue
  else:
    ans.pop()
for j in range(len(ans)):
  print(ans[j],end='')
Buggy python submission (verdict: Runtime Error):
S = input()
if S[2] == S[3] && S[4] == S[5]:
	print("Yes")
else:
	print("No")


Fixed submission:
S = input()
if (S[2] == S[3]) and (S[4] == S[5]):
	print("Yes")
else:
	print("No")
Buggy python submission (verdict: Runtime Error):
n = int(input())
h = list(map(int, input().split()))
high = h[0]
ans = 1
for i in range(1,n):
    if high <= h[i]:
        ans += 1
        high = h[i]

print(ans)

Fixed submission:
a, b = map(int, input().split())
print(max(a, b)*2-(a!=b))
Buggy python submission (verdict: Runtime Error):
N, M = input().split(" ")
N = int(N)
M = int(M)

s = []
c = []

one_list = []
two_list = []
three_list = []

for i in range(M):
    tmp_s, tmp_c = input().split(" ")
    tmp_s = int(tmp_s)
    tmp_c = int(tmp_c)
    s.append(tmp_s)
    c.append(tmp_c)
    if tmp_s == 1:
        one_list.append(tmp_c)
    elif tmp_s == 2:
        two_list.append(tmp_c)
    elif tmp_s == 3:
        three_list.append(tmp_c)
    else:
        print("Error")

if len(set(one_list)) > 1:
    print(-1)
    exit()

if len(set(two_list)) > 1:
    print(-1)
    exit()

if len(set(three_list)) > 1:
    print(-1)
    exit()


result = ""
for i in range(N):
    result += "0"


str_list = list(result)
for i in range(M):
    str_list[s[i] - 1] = str(c[i])

while str_list[0] == "0":
    str_list = str_list[1:]


print("".join(str_list))


Fixed submission:
N, M = input().split(" ")
N = int(N)
M = int(M)

s = []
c = []

one_list = []
two_list = []
three_list = []

for i in range(M):
    tmp_s, tmp_c = input().split(" ")
    tmp_s = int(tmp_s)
    tmp_c = int(tmp_c)
    s.append(tmp_s)
    c.append(tmp_c)
    if tmp_s == 1:
        one_list.append(tmp_c)
    elif tmp_s == 2:
        two_list.append(tmp_c)
    elif tmp_s == 3:
        three_list.append(tmp_c)
    else:
        print("Error")


if len(set(one_list)) > 1:
    print(-1)
    exit()

if len(set(two_list)) > 1:
    print(-1)
    exit()

if len(set(three_list)) > 1:
    print(-1)
    exit()

result = ""
for i in range(N):
    result += "-"

str_list = list(result)
for i in range(M):
    str_list[s[i] - 1] = str(c[i])

if N > 1:
    if str_list[0] == "0":
        print(-1)
        exit()

str_list = list("".join(str_list).replace("-", "0"))
if N != 1:
    if str_list[0] == "0":
        str_list[0] = "1"

print("".join(str_list))
Buggy python submission (verdict: Time Limit Exceeded):
import fractions

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

def gcd(l):
    ans = l[0]
    for i in range(1, N-1):
        ans = fractions.gcd(ans, l[i])
    return ans

max_res = -1
for i in range(N):
    A_removed = A[0:i] + A[i+1:N]
    res = gcd(A_removed)
    if (res>max_res):
        max_res = res

print(max_res)


Fixed submission:
import fractions
import numpy as np

N = int(input())
A = np.array(sorted([int(i) for i in input().split()]))

def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    return divisors

divisors=make_divisors(A[0])
divisors_1=make_divisors(A[1]) 
divisors.extend(divisors_1)

def gcd(l):
    ans = l[0]
    for j in range(1, N-1):
        ans = fractions.gcd(ans, l[j])
    return ans

#res = 1
for i in sorted(list(set(divisors))):
#    print("{} / {}".format(i, A%i))
#    print(np.where(A%i != 0))
#    print((A%i != 0))
    if(np.sum(A%i != 0)<=1):
        #print(i)
        res = i


print(res)
Buggy python submission (verdict: Runtime Error):
A, B, C = (int(i) for i in input().split())

if((A<C) and (C<B)):
    print("Yes")
elif((B<C) and (C<A)):
    print("Yes")
else:
    print("No")
A, B, C = (int(i) for i in input().split())

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


Fixed submission:
A, B, C = (int(i) for i in input().split())
 
if((A<C) and (C<B)):
    print("Yes")
elif((B<C) and (C<A)):
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
N = int(input())
B = list(map(int,input().split()))
 
ans = []
while B:
    for i,a in reversed(list(enumerate(B))):
        if i+1 == a:
            ans.append(a)
            del B[i]
            break
    else:
        print(-1)
        exit()
print(*ans[::-1], sep='\n')
N = int(input())
B = list(map(int,input().split()))

ans = []
while B:
    for i,a in reversed(list(enumerate(B))):
        if i+1 == a:
            ans.append(a)
            del B[i]
            break
    else:
        print(-1)
        exit()
print(*ans[::-1], sep='\n')


Fixed submission:
N = int(input())
B = list(map(int,input().split()))
 
ans = []
while B:
    for i,a in reversed(list(enumerate(B))):
        if i+1 == a:
            ans.append(a)
            del B[i]
            break
    else:
        print(-1)
        exit()
print(*ans[::-1], sep='\n')
Buggy python submission (verdict: Time Limit Exceeded):
S = input()
initial_len_S = len(S)
len_S = 1e10
len_S_new = 1e10 - 1

while (len_S_new < len_S):
    len_S= len(S)
    S = S.replace("10", "").replace("01","")
    len_S_new = len(S)

print(initial_len_S - len_S)

Fixed submission:
import re

S = input()

count_1 = len(re.findall('1', S))
count_0 = len(re.findall('0', S))

if(count_1 < count_0):
    print(2 * count_1)
else:
    print(2 * count_0)
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import product

import numpy as np

N, A, B, C = (int(i) for i in input().split())
l = []

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

l = np.array(l)

###########

'''
Aの竹の材料にする、Bの竹の材料にする、Cの竹の材料にする、使わない
'''

min_cost = 1e10

for i in product(np.arange(4), repeat=N):
    i = np.array(i)

    if(np.sum(np.unique(i)) != 6):
        continue

    for_a = l[i == 1]
    for_b = l[i == 2]
    for_c = l[i == 3]

    A_diff = np.abs(np.sum(for_a) - A) + (len(for_a) - 1) * 10
    B_diff = np.abs(np.sum(for_b) - B) + (len(for_b) - 1) * 10
    C_diff = np.abs(np.sum(for_c) - C) + (len(for_c) - 1) * 10

    cost = A_diff + B_diff + C_diff

    if(cost < min_cost):
        min_cost = cost

print(min_cost)


Fixed submission:
N, A, B, C = map(int, input().split())
l = [int(input()) for i in range(N)]
INF = 10 ** 9


def dfs(cur, a, b, c):
    if cur == N:
        return abs(a - A) + abs(b - B) + abs(c - C) - 30 if min(a, b, c) > 0 else INF
    ret0 = dfs(cur + 1, a, b, c)
    ret1 = dfs(cur + 1, a + l[cur], b, c) + 10
    ret2 = dfs(cur + 1, a, b + l[cur], c) + 10
    ret3 = dfs(cur + 1, a, b, c + l[cur]) + 10

    return min(ret0, ret1, ret2, ret3)
print(dfs(0, 0, 0, 0))

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import product

import numpy as np

N, A, B, C = (int(i) for i in input().split())
l = []

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

l = np.array(l)

###########

'''
Aの竹の材料にする、Bの竹の材料にする、Cの竹の材料にする、使わない
'''

min_cost = 1e10

for i in product(np.arange(4), repeat=N):
    i = np.array(i)

    if(np.sum(np.unique(i)) != 6):
        continue

    for_a = l[i == 1]
    for_b = l[i == 2]
    for_c = l[i == 3]

    A_diff = np.abs(np.sum(for_a) - A) + (len(for_a) - 1) * 10
    B_diff = np.abs(np.sum(for_b) - B) + (len(for_b) - 1) * 10
    C_diff = np.abs(np.sum(for_c) - C) + (len(for_c) - 1) * 10

    cost = A_diff + B_diff + C_diff

    if(cost < min_cost):
        min_cost = cost

print(min_cost)

Fixed submission:
N, A, B, C = map(int, input().split())
l = [int(input()) for i in range(N)]
INF = 10 ** 9


def dfs(cur, a, b, c):
    if cur == N:
        return abs(a - A) + abs(b - B) + abs(c - C) - 30 if min(a, b, c) > 0 else INF
    ret0 = dfs(cur + 1, a, b, c)
    ret1 = dfs(cur + 1, a + l[cur], b, c) + 10
    ret2 = dfs(cur + 1, a, b + l[cur], c) + 10
    ret3 = dfs(cur + 1, a, b, c + l[cur]) + 10

    return min(ret0, ret1, ret2, ret3)
print(dfs(0, 0, 0, 0))
Buggy python submission (verdict: Runtime Error):
N = int(input())
xyh = []

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

for x in range(101):
    for y in range(101):

        ##Reference Height##

        for i in range(len(xyh)):
            if(xyh[i][2] != 0):
                reference_index = i
        height = abs(x - xyh[reference_index][0]) + \
            abs(y - xyh[reference_index][1]) + xyh[reference_index][2]
        ####################

        counter = 0

        for n in range(N):
            if(xyh[n][2]==0):
                if not (height <= abs(x - xyh[n][0]) +
                        abs(y - xyh[n][1]) + xyh[n][2]):
                    counter += 1

            else:
                if not (height == abs(x - xyh[n][0]) +
                        abs(y - xyh[n][1]) + xyh[n][2]):
                    counter += 1

        if(counter == 0):
            print("{} {} {}".format(x, y, height))


Fixed submission:
year = int(input())

if(year==1):
    print("Hello World")
else:
    a = int(input())
    b = int(input())

    print(int(a+b))
Buggy python submission (verdict: Runtime Error):
import numpy as np
import math

N, X = (int(i) for i in input().split())
x = np.array([int(i) for i in input().split()])

diff = abs(x-X)
intermediate_gcd = diff[0]

for i in range(len(x)-1):
    intermediate_gcd = math.gcd(intermediate_gcd, diff[i+1])

print(intermediate_gcd)

Fixed submission:
import numpy as np
from fractions import gcd

N, X = (int(i) for i in input().split())
x = np.array([int(i) for i in input().split()])

diff = abs(x-X)
intermediate_gcd = diff[0]

for i in range(len(x)-1):
    intermediate_gcd = gcd(intermediate_gcd, diff[i+1])

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

N, K = (int(i) for i in input().split())
x = np.sort(np.array([int(i) for i in input().split()]))

result = []
if(N==1):
    print(x[0])
else:
    for i in range(N - K + 1):
        left = x[i]
        right = x[i + K - 1]

        if (left * right < 0):
            if (np.abs(left) < np.abs(right)):
                diff = np.abs(left) * 2 + np.abs(right)
            else:
                diff = np.abs(left) + np.abs(right) * 2

        else:
            diff = np.max([left, right])

        result.append(diff)

#print(result)
print(np.min(result))


Fixed submission:
import numpy as np

N, K = (int(i) for i in input().split())
x = np.sort(np.array([int(i) for i in input().split()]))

result = []
if(N==1):
    print(np.abs(x[0]))

else:
    for i in range(N - K + 1):
        left = x[i]
        right = x[i + K - 1]

        if (left * right < 0):
            if (np.abs(left) < np.abs(right)):
                diff = np.abs(left) * 2 + np.abs(right)
            else:
                diff = np.abs(left) + np.abs(right) * 2

        else:
            diff = np.max([np.abs(left), np.abs(right)])

        result.append(diff)

    print(np.min(result))

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

N, K = (int(i) for i in input().split())
x = np.sort(np.array([int(i) for i in input().split()]))

result = []
if(N==1):
    print(x[0])
    exit()
else:
    for i in range(N - K):
        left = x[i]
        right = x[i + K - 1]

        if (left * right < 0):
            if (np.abs(left) < np.abs(right)):
                diff = np.abs(left) * 2 + np.abs(right)
            else:
                diff = np.abs(left) + np.abs(right) * 2

        else:
            diff = np.max([left, right])

        result.append(diff)

print(np.min(result))


Fixed submission:
import numpy as np

N, K = (int(i) for i in input().split())
x = np.sort(np.array([int(i) for i in input().split()]))

result = []
if(N==1):
    print(np.abs(x[0]))

else:
    for i in range(N - K + 1):
        left = x[i]
        right = x[i + K - 1]

        if (left * right < 0):
            if (np.abs(left) < np.abs(right)):
                diff = np.abs(left) * 2 + np.abs(right)
            else:
                diff = np.abs(left) + np.abs(right) * 2

        else:
            diff = np.max([np.abs(left), np.abs(right)])

        result.append(diff)

    print(np.min(result))
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
n = input()
a = np.array([int(i) for i in input().split()])

a_unique = np.unique(a)

out = 0
for i in a_unique:
    count = np.sum(a==i)
    if(count < i):
        out += count
    else:
        out += count - i

print(out)

Fixed submission:
import numpy as np
from collections import Counter

n = input()
a = np.array([int(i) for i in input().split()])

x = Counter(a)
out = 0
for i in x:
    if(x[i] < i):
        out += x[i]
    else:
        out += x[i] - i

print(out)

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

a_unique = np.unique(a)

out = 0
for i in a_unique:
    count = np.sum(a==i)
    if(count==i):
        out += 0
    elif(count < i):
        out += count
    else:
        out += count - i

print(out)

Fixed submission:
import numpy as np
from collections import Counter

n = input()
a = np.array([int(i) for i in input().split()])

x = Counter(a)
out = 0
for i in x:
    if(x[i] < i):
        out += x[i]
    else:
        out += x[i] - i

print(out)