Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int, input().split()))

if n%2 != 0:
  a.append(0)
  n += 1
 
a.sort()
d = 0

for i in range(int(n/2):
               d += a[2*i+1]-a[2*i]
           
print(d)


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

if n%2 != 0:
  a.append(0)
  n += 1
 
a.sort()
d = 0

for i in range(int(n/2)):
               d += a[2*i+1]-a[2*i]
           
print(d)

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

if n%2 != 0:
  a.append(0)
  n += 1
 
a.sort()
d = 0

for i in range(int(n/2):
               d += a[2i+1]-a[2i]
           
print(d)

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

if n%2 != 0:
  a.append(0)
  n += 1
 
a.sort()
d = 0

for i in range(int(n/2)):
               d += a[2*i+1]-a[2*i]
           
print(d)

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

a = list(map(int, input().split()))
if len(a)%2 !=0:
  a.append(0)
  
a.sort()
d = 0

for i in range(n/2):
  d += a[2i+1] - a[2i]
 
print(d)


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

if n%2 != 0:
  a.append(0)
  n += 1
 
a.sort()
d = 0

for i in range(int(n/2)):
               d += a[2*i+1]-a[2*i]
           
print(d)

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

a = list(map(int, input().split()))
if len(a)%2 !=0:
  a.append(0)
  
a.sort()
d = 0

for i in range(n/2):
  d += a[2i+1] - a[2i]
 
pritn(d)


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

if n%2 != 0:
  a.append(0)
  n += 1
 
a.sort()
d = 0

for i in range(int(n/2)):
               d += a[2*i+1]-a[2*i]
           
print(d)
Buggy python submission (verdict: Runtime Error):
n = int(input())
 
m = {}
 
for i in range(n):
  x = int(input())
  m.add(x)
  
print(len(m))

Fixed submission:
n = int(input())
 
m = set()
 
for i in range(n):
  x = int(input())
  m.add(x)
  
print(len(m))

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

m = {}

for i in n:
  x = int(input())
  m.add(x)
  
print(len(m))

Fixed submission:
n = int(input())
 
m = set()
 
for i in range(n):
  x = int(input())
  m.add(x)
  
print(len(m))
Buggy python submission (verdict: Runtime Error):
a,b = int(input().split())
 
x = (a+b)/2
 
if x == int(x):
  print(x)
 
else:
  x += 1
  print(int(x))


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

x = (a+b)/2
 
if x == int(x):
  print(int(x))
 
else:
  x += 1
  print(int(x))

Buggy python submission (verdict: Runtime Error):
a = int(input())
b = int(input())
 
x = (a+b)/2
 
if x == int(x):
  print(x)
 
else:
  x += 1
  print(int(x))

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

x = (a+b)/2
 
if x == int(x):
  print(int(x))
 
else:
  x += 1
  print(int(x))

Buggy python submission (verdict: Runtime Error):
a,b = int(input().split())
 
x = a+b
 
if x == int(x):
  print(x)
 
else:
  x += 1
  print(int(x))

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

x = (a+b)/2
 
if x == int(x):
  print(int(x))
 
else:
  x += 1
  print(int(x))

Buggy python submission (verdict: Runtime Error):
a = int(input())
b = int(input())
 
x = a+b
 
if x == int(x):
  print(x)
 
else:
  x += 1
  print(int(x))

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

x = (a+b)/2
 
if x == int(x):
  print(int(x))
 
else:
  x += 1
  print(int(x))

Buggy python submission (verdict: Runtime Error):
a = input()
b = input()
 
x = a+b
 
if x == int(x):
  print(x)
 
else:
  print(int(x+1))

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

x = (a+b)/2
 
if x == int(x):
  print(int(x))
 
else:
  x += 1
  print(int(x))

Buggy python submission (verdict: Runtime Error):
a = input()
b = input()

x = a+b

if x == int(x):
  print(x)
 
else:
  print(int(x+1)

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

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

t = True
x = 0

while T == True:
  x +=1
  for i in a:
    if i%2 == 0:
      a = list(map(lambda x:x/2, a))
    else:
      t = False
      
print(x)
    

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

t = True
x = -1

while t == True:
  x += 1
  for i in a:
    if i%2 == 0:
      continue
    else:
      t = False
  a = list(map(lambda x:x/2, a))  

      
print(x)
Buggy python submission (verdict: Runtime Error):
x = input()
a = int(x)
b = list(x)
b = sum(b)

if a%b==0:
  print('Yes')
  
else:
  print('No')

Fixed submission:
x = input()
a = int(x)
b = list(str(x))
b = list(map(int,b))
b = sum(b)

if a%b == 0:
  print('Yes')
else:
  print('No')
Buggy python submission (verdict: Runtime Error):
n = int(input())
p = 0
for in in range(n):
  l, r = map(int, input().split())
  p += r-l+1
 
print(n)

Fixed submission:
n = int(input())
p = 0
for i in range(n):
  l, r = map(int, input().split())
  p += r-l+1
 
print(p)
Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())

a = []

for i in m:
  a1, a2 = map(int, input().split())
  a.append(a1)
  a.append(a2)

for s in n:
  print(a.count(s))

Fixed submission:
n, m = map(int, input().split())
 
a = []
 
for i in range(m):
  a1, a2 = map(int, input().split())
  a.append(a1)
  a.append(a2)
 
for s in range(n):
  print(a.count(s+1))
Buggy python submission (verdict: Runtime Error):

N = input()

i = N + 1
while True:
    if(i % 2 == 0 and i % N == 0):
        break
    i = i + 1

print(i)


Fixed submission:

N = int(input())

if(N % 2 == 0):
    print(N)
else:
    print(2 * N)
Buggy python submission (verdict: Runtime Error):
n = int(input())
m=int(1e9+7)
print(((pow(10,n,m)+pow(8,n,m)-2*pow(9,n,m))%m)

Fixed submission:
n = int(input())
m=int(1e9+7)
print((pow(10,n,m)+pow(8,n,m)-2*pow(9,n,m))%m)
Buggy python submission (verdict: Runtime Error):
import sys
import math
# sys.stdin=open('input.txt','r')
# sys.stdout=open('output2.txt','w')
from sys import stdin,stdout
from collections import deque,defaultdict
from math import ceil,floor,inf,sqrt,factorial,gcd,log2
from copy import deepcopy
ii1=lambda:int(stdin.readline().strip())
is1=lambda:stdin.readline().strip()
iia=lambda:list(map(int,stdin.readline().strip().split()))
isa=lambda:stdin.readline().strip().split()
mod=1000000007

n=ii1()
arr=iia()
arr.sort(reverse=True)
ans=0
for i in range(1,n):
    ans+=arr[i//2]
print(ans)


Fixed submission:
import sys
import math
# sys.stdin=open('input.txt','r')
# sys.stdout=open('output2.txt','w')
from sys import stdin,stdout
from collections import deque,defaultdict
from math import ceil,floor,inf,sqrt,factorial,gcd,log2
from copy import deepcopy
ii1=lambda:int(stdin.readline().strip())
is1=lambda:stdin.readline().strip()
iia=lambda:list(map(int,stdin.readline().strip().split()))
isa=lambda:stdin.readline().strip().split()
mod=1000000007

n=ii1()
ans=1000*(1+ n//1000)
if n%1000==0:
    print(0)
else:
    print(ans-n)

Buggy python submission (verdict: Runtime Error):
# cook your dish here
import sys
import math
# sys.stdin=open('input.txt','r')
# sys.stdout=open('output2.txt','w')
from sys import stdin,stdout
from collections import deque,defaultdict
from math import ceil,floor,inf,sqrt,factorial,gcd,log2
from copy import deepcopy
ii1=lambda:int(stdin.readline().strip())
is1=lambda:stdin.readline().strip()
iia=lambda:list(map(int,stdin.readline().strip().split()))
isa=lambda:stdin.readline().strip().split()
mod=1000000007
# print('hi')
n,m,k=iia()
arr=[input()for i in range(n)]
res=0
for i in range(2**n):
    for j in range(2**m):
        ans=0
        for ii in range(n):
            for jj in range(m):
                if i>>ii & 1 and j>>jj &1 and arr[ii][jj]=='#':
                    ans+=1
        if ans==k:
            res+=1
print(res)



Fixed submission:
import sys
import math
# sys.stdin=open('input.txt','r')
# sys.stdout=open('output2.txt','w')
from sys import stdin,stdout
from collections import deque,defaultdict
from math import ceil,floor,inf,sqrt,factorial,gcd,log2
from copy import deepcopy
ii1=lambda:int(stdin.readline().strip())
is1=lambda:stdin.readline().strip()
iia=lambda:list(map(int,stdin.readline().strip().split()))
isa=lambda:stdin.readline().strip().split()
mod=1000000007

n=ii1()
ans=1000*(1+ n//1000)
if n%1000==0:
    print(0)
else:
    print(ans-n)
Buggy python submission (verdict: Runtime Error):
from collections import deque,defaultdict
from math import ceil,floor,inf,sqrt,factorial,gcd,log2
from copy import deepcopy
ii1=lambda:int(stdin.readline().strip())
is1=lambda:stdin.readline().strip()
iia=lambda:list(map(int,stdin.readline().strip().split()))
isa=lambda:stdin.readline().strip().split()
mod=1000000007
ani,total = iia()
if 0<=(4*ani-total)<=2*ani:
    print('Yes')
else:
    print('No')

Fixed submission:
from sys import stdin,stdout
import math
from collections import deque,defaultdict
from math import ceil,floor,inf,sqrt,factorial,gcd,log2
from copy import deepcopy
ii1=lambda:int(stdin.readline().strip())
is1=lambda:stdin.readline().strip()
iia=lambda:list(map(int,stdin.readline().strip().split()))
isa=lambda:stdin.readline().strip().split()
mod=1000000007
ani,total = iia()
if total>4*ani:
    print('No')
elif total % 2==0:
    crane=(4*ani - total)
    tor = total-2*ani
    if crane%2==0 or tor%2==0:
        if 0<=crane//2<=ani and 0<=tor//2<=ani:
            print('Yes')
        else:
            print('No')
    else:
        print('No')
else:
    print('No')

Buggy python submission (verdict: Runtime Error):
from sys import stdin,stdout
import math
from collections import deque,defaultdict
from math import ceil,floor,inf,sqrt,factorial,gcd,log2
from copy import deepcopy
ii1=lambda:int(stdin.readline().strip())
is1=lambda:stdin.readline().strip()
iia=lambda:list(map(int,stdin.readline().strip().split()))
isa=lambda:stdin.readline().strip().split()
mod=1000000007
ani,total = iia()
if 0<=(4*ani-total)<=2*ani:
    print('Yes')
else:
    print('No'

Fixed submission:
from sys import stdin,stdout
import math
from collections import deque,defaultdict
from math import ceil,floor,inf,sqrt,factorial,gcd,log2
from copy import deepcopy
ii1=lambda:int(stdin.readline().strip())
is1=lambda:stdin.readline().strip()
iia=lambda:list(map(int,stdin.readline().strip().split()))
isa=lambda:stdin.readline().strip().split()
mod=1000000007
ani,total = iia()
if total>4*ani:
    print('No')
elif total % 2==0:
    crane=(4*ani - total)
    tor = total-2*ani
    if crane%2==0 or tor%2==0:
        if 0<=crane//2<=ani and 0<=tor//2<=ani:
            print('Yes')
        else:
            print('No')
    else:
        print('No')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
from sys import stdin,stdout
from collections import deque,defaultdict
from math import ceil,floor,inf,sqrt,factorial,gcd,log2
from copy import deepcopy
ii1=lambda:int(stdin.readline().strip())
is1=lambda:stdin.readline().strip()
iia=lambda:list(map(int,stdin.readline().strip().split()))
isa=lambda:stdin.readline().strip().split()
mod=1000000007
n = ii1()
m = int(n**0.5)+1
count = 0
flag=0
for i in range(2,m):
    if n%i == 0:
        flag=1
        count+=1
        n=n//i
if flag == 1:
    print(1)
else:
    print(count)

Fixed submission:
a,b=map(int,input().split())
print(a*b)
Buggy python submission (verdict: Runtime Error):
class UnionFind():
    def __init__(self, N):
        self.N = N
        self.parents = [-1] * N

    def root(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.root(self.parents[x])
            return self.parents[x]

    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)

        if x == y:
            return False
        if self.parents[x] > self.parents[y]:
            x, y = y, x
        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.root(x)]

n, m = map(int, input().split())

uf = UnionFind(n)

for i in range(m):
    a, b = map(int, input().split())
    a -= 1
    b -= 1
    uf.unite(a, b)

ans = 0
for i in range(n):
    ans = max(ans, uf.size(i))

print(n - str(ans))


Fixed submission:
class UnionFind():
    def __init__(self, N):
        self.N = N
        self.parents = [-1] * N

    def root(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.root(self.parents[x])
            return self.parents[x]

    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)

        if x == y:
            return False
        if self.parents[x] > self.parents[y]:
            x, y = y, x
        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.root(x)]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

n, m = map(int, input().split())

uf = UnionFind(n)

for i in range(m):
    a, b = map(int, input().split())
    a -= 1
    b -= 1
    uf.unite(a, b)


print(uf.group_count() - 1)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))
s = 0
for i in range(n-1):
    for j in range(i+1, n):
        s += a[i]*a[j]
        if s >= (10**9 +7):
            s %= (10**9 + 7)

s %= (10**9 + 7)
print(str(s))

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
s = 0
mod = 10**9+7
asum = 0
for i in a:
    asum += i % mod
for i in range(n-1):
    s += ((a[i]%mod)*(asum-(a[i]%mod)))%mod
    asum = asum-(a[i]%mod)
s %= mod
print(str(s))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))
s = 0
for i in range(n-1):
    for j in range(i+1, n):
        s += a[i]*a[j]
        if s >= (10**9 +7):
            s %= (10**9 + 7)

s %= (10**9 + 7)
print(str(s))

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
s = 0
mod = 10**9+7
asum = 0
for i in a:
    asum += i % mod
for i in range(n-1):
    s += ((a[i]%mod)*(asum-(a[i]%mod)))%mod
    asum = asum-(a[i]%mod)
s %= mod
print(str(s))
Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
h = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(m)]
ans = [1]*n
for i in range(m):
    if h[ab[i][0]-1] == h[ab[i][1]-1]:
        ans[ab[i][0]-1] = 0
        ans[ab[i][1]-1] = 0
    elif h[ab[i][0]-1] > h[ab[i][1]]:
        ans[ab[i][1]-1] = 0
    else:
        ans[ab[i][0]-1] = 0
print(sum(ans))


Fixed submission:
n, m = map(int, input().split())
h = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(m)]
ans = [1]*n
for i in range(m):
    if h[ab[i][0]-1] == h[ab[i][1]-1]:
        ans[ab[i][0]-1] = 0
        ans[ab[i][1]-1] = 0
    elif h[ab[i][0]-1] > h[ab[i][1]-1]:
        ans[ab[i][1]-1] = 0
    else:
        ans[ab[i][0]-1] = 0
print(sum(ans))
Buggy python submission (verdict: Time Limit Exceeded):
a, b, n = map(int, input().split())
ans = 0
for x in range(1,n+1):
    B = x/b
    f = B - int(B) 
    if ans <= f:
        ans = f
print(int(ans * a))

Fixed submission:
a, b, n = map(int, input().split())
M = min(b-1,n)
print(int((M/b-M//b) * a))

Buggy python submission (verdict: Time Limit Exceeded):
a, b, n = map(int, input().split())
ans = 0
m = 10000
for x in range(1,n+1):
    f = b - x % b
    if m > f:
        m = f
        ans =  x/b -x//b
print(int(ans*a))

Fixed submission:
a, b, n = map(int, input().split())
M = min(b-1,n)
print(int((M/b-M//b) * a))

Buggy python submission (verdict: Time Limit Exceeded):
a, b, n = map(int, input().split())
ans = 0
for x in range(1,n+1):
    f = (x / b - int(x / b))  
    if ans <= f:
        ans = f
print(int(ans * a))

Fixed submission:
a, b, n = map(int, input().split())
M = min(b-1,n)
print(int((M/b-M//b) * a))

Buggy python submission (verdict: Time Limit Exceeded):
a, b, n = map(int, input().split())
ans = 0
for x in range(1,n+1):
    f = (x / b - x // b)  
    if ans <= f:
        ans = f
print(int(ans * a //1))

Fixed submission:
a, b, n = map(int, input().split())
M = min(b-1,n)
print(int((M/b-M//b) * a))

Buggy python submission (verdict: Time Limit Exceeded):
a, b, n = map(int, input().split())
ans = 0
for x in range(1,n+1):
    f = (x / b - x // b) * a // 1
    

    if ans <= f:
        ans = f
print(int(ans))

Fixed submission:
a, b, n = map(int, input().split())
M = min(b-1,n)
print(int((M/b-M//b) * a))

Buggy python submission (verdict: Time Limit Exceeded):
a, b, n = map(int, input().split())
ans = 0
for x in range(1,n+1):
    f = (x / b - x // b) * a // 1
    

    if ans <= f:
        ans = f
print(int(ans))

Fixed submission:
a, b, n = map(int, input().split())
M = min(b-1,n)
print(int((M/b-M//b) * a))

Buggy python submission (verdict: Time Limit Exceeded):
a, b, n = map(int, input().split())
ans = 0
for x in range(1,n+1):
    f = a * x // b
    f2 = x // b

    if ans <= f - a * f2:
        ans = f - a * f2
print(ans)

Fixed submission:
a, b, n = map(int, input().split())
M = min(b-1,n)
print(int((M/b-M//b) * a))
Buggy python submission (verdict: Time Limit Exceeded):
import math
k = int(input())
ans = 0
for i in range(1,k+1):
    for j in range(1,k+1):
        for l in range(1,k+1):
            ans = ans +  math.gcd(math.gcd(i,j), l)
print(ans)

Fixed submission:
import math
k = int(input())
ans = 0
for i in range(1,k+1):
    for j in range(1,k+1):
        for l in range(1,k+1):
            ans = ans +  math.gcd(math.gcd(i,j), l)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())
Min = n
while True:
    if k == 1:
        print(0)
        exit()
    n = abs(n-k)
    if Min == n:
        break
    if Min > n:
        Min = n
print(Min)


Fixed submission:
n, k = map(int, input().split())
r = n%k
print(min(r, k-r))
Buggy python submission (verdict: Runtime Error):
N, A, B = input().split()

n = int(N / (A + B))

if(N <= A+B):
    print(A)
else:
    print(N - B*n)

Fixed submission:
S = input()

if(S == "AAA"):
    print('No')
elif(S == "BBB"):
    print('No')
else:
    print('Yes')

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

n = int(N / (A + B))

if(N <= A + B):
    print(A)
else:
    print(N - B * n)

Fixed submission:
S = input()

if(S == "AAA"):
    print('No')
elif(S == "BBB"):
    print('No')
else:
    print('Yes')

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

n = int(N / (A + B))

if(N < A+B):
    print((n+1)*A)
elif(N == A+B):
    print(A)
else:
    print(N -B*n)

Fixed submission:
S = input()

if(S == "AAA"):
    print('No')
elif(S == "BBB"):
    print('No')
else:
    print('Yes')
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = int(input())
b = int(input())
ans = 0

for i in range(1, n+1):
    s = 0
    num = i
    while num > 0:
        s = s + num % 10
        num = num // 10
    if a <= s <= b:
        ans = ans + i
print(ans)


Fixed submission:
n, a, b = map(int, input().split())
ans = 0

for i in range(1, n+1):
    s = 0
    num = i
    while num > 0:
        s = s + num % 10
        num = num // 10
    if a <= s <= b:
        ans = ans + i
print(ans)

Buggy python submission (verdict: Runtime Error):
n = int(input())
a = int(input())
b = int(input())
ans = 0

for i in range(1, n+1):
    s = 0
    num = i
    while num > 0:
        s = s + num % 10
        num = num // 10
    if a <= s <= b:
        ans = ans + i
print(ans)


Fixed submission:
n, a, b = map(int, input().split())
ans = 0

for i in range(1, n+1):
    s = 0
    num = i
    while num > 0:
        s = s + num % 10
        num = num // 10
    if a <= s <= b:
        ans = ans + i
print(ans)

Buggy python submission (verdict: Runtime Error):
n = int(input())
a = int(input())
b = int(input())
ans = 0

for i in range(1, n+1):
    s = 0
    num = i
    while num > 0:
        s = s + num % 10
        num = num // 10
    if a <= s and s <= b:
        ans = ans + i
print(ans)


Fixed submission:
n, a, b = map(int, input().split())
ans = 0

for i in range(1, n+1):
    s = 0
    num = i
    while num > 0:
        s = s + num % 10
        num = num // 10
    if a <= s <= b:
        ans = ans + i
print(ans)
Buggy python submission (verdict: Runtime Error):
class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())
      
N, M = map(int,input().split())
uf = UnionFind(N)
for _ in range(M):
  a,b = map(int,input().split())
  uf.union(a,b)
  
print(uf.group_count() - 1)

Fixed submission:
class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())
      
N, M = map(int,input().split())
uf = UnionFind(N)
for _ in range(M):
  a,b = map(int,input().split())
  uf.union(a-1,b-1)
  
print(uf.group_count() - 1)
Buggy python submission (verdict: Runtime Error):
N,K = map(int,input().split())
A = [int(input()) for _ in range(N)]

for i in range(K):
  if A[i]<A[i+3]:
    print('Yes')
  else:
    print('No')

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

for i in range(N-K):
  if A[i]<A[i+K]:
    print('Yes')
  else:
    print('No')
Buggy python submission (verdict: Runtime Error):
N = int(input().split())
A = list(map(int,input().split()))
M = 1000
S = 0
for i in range(N-1):
  M+=S*A[i]
  S = 0
  if A[i+1]>=A[i]:
    tmp=M//A[i]
    M = tmp*A[i]
    S+=tmp
M+=S*A[i]
S = 0
print(M)

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
M = 1000
S = 0
for i in range(N-1):
  M+=S*A[i]
  S = 0
  if A[i+1]>=A[i]:
    tmp=M//A[i]
    M -= tmp*A[i]
    S+=tmp
M+=S*A[-1]
S = 0
print(M)
Buggy python submission (verdict: Runtime Error):
import math
N = int(input())
Array = [1]*(N+1)
for i in range(1,int(math.sqrt(N))):
  for j in range(i+1,N,i):
    N[j]+=1
ans = 0
for i in range(1,N+1):
  ans+=i*N[i]
print(ans)

Fixed submission:
N=int(input())
ans=0
for i in range(1,N+1):
  m=N//i
  ans+=i*m*(m+1)//2
  #print(i,N//i,m)
print(ans)