Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
a = (x + y) //3
n = (2*x-y)//3
m = a-n
print(n,m)
def nCr(n,r,mod):
    r = min(r, n-r)
    fact = rial=1
    for i in range(1,r+1):
        fact *= (n+1-i) % mod
        rial *= i %mod
    return fact * pow(rial,mod-2,mod) %mod
    
if (x + y) %3 == 0:
    if 0 < n and 0 < m and (x+y)%3==0:
       
        print(nCr(a,n,mod))
        
    else: 
        print(0)
    
else:
    print(0)

Fixed submission:
def nCr(n,r,mod = 10**9+7):
    r = min(n-r,r)
    numer = denom = 1
    for i in range(1,r+1):
        numer = numer * (n+1-i) %mod
        denom = denom * i % mod
    return numer * pow(denom,mod-2,mod) %mod
    
x,y = map(int,input().split())
if (x+y) %3 != 0 or not (x <= 2*y and y <= 2*x ):
    print(0)
    exit()
    
a = (x + y) //3
n = y - a

print(nCr(a,n))
Buggy python submission (verdict: Time Limit Exceeded):
n,t = map(int,input().split())
l = [list(map(int,input().split())) for i in range(n)]
l.sort()
dp = [[0]*(t+1) for i in range(n)]
ans = 0
for i in range(n-1):
    for j in range(t+1):
        if j < l[i][0]:
            dp[i+1][j] = dp[i][j]
        else:
            dp[i+1][j] = max(dp[i][j],dp[i][j-l[i][0]]+l[i][1])
    ans = max(ans,dp[i+1][t-1]+l[i+1][1])
print(ans)

Fixed submission:
import numpy as np
n,t = map(int,input().split())
l = [list(map(int,input().split())) for i in range(n)]
l.sort()
dp = np.array([0]*t)
ans = 0
for a,b in l:
    ans = max(ans,dp[-1]+b)
    dp[a:] = np.maximum(dp[a:],dp[:-a]+b)
    
    
print(max(ans,dp[-1]))
Buggy python submission (verdict: Runtime Error):
n = int(input())
if n % 2 == 1:
  print((n-1)//2)
else:
  print(n-2)//2)

Fixed submission:
n = int(input())
if n % 2 == 1:
  print((n-1)//2)
else:
  print((n-2)//2)
Buggy python submission (verdict: Runtime Error):
import math
a,b,x = map(int,input().split())
h = x/(a**2)
if b//2 >= h:

    d = 2*h*a/b

    sin = math.degrees(math.acos(d/((d**2+b**2)**0.5)))
    print(sin)
else:
    d = 2*(b-h)*a/a
    sin = math.degrees(math.acos(d/((d**2+a**2)**0.5)))
    print(90-sin)


Fixed submission:
a,b = map(int,input().split())
if a > 9 or b > 9:
  print(-1)
else:
  print(a*b)
Buggy python submission (verdict: Time Limit Exceeded):
def main():
    import math
    import sys
    input = sys.stdin.readline

    n,k = map(int,input().split())
    a = sorted(list(map(int,input().split())))
    f = sorted(list(map(int,input().split())),reverse=True)
    check = []
    for i in range(n):
        check.append((a[i]*f[i],a[i],f[i]))

    def search(x):
        count = 0

        for i,j,k in check:
            if i > x:
                y = math.floor(x/k)
                count += j-y
        return count

    left = -1
    right = 10**12+2
    while right > left+1:
        mid = (right+left)//2
        if search(mid) > k:
            left = mid
        else:
            right = mid
    print(right)
if __name__ == "__main__":
    main()

Fixed submission:
def main():
    import math
    import sys
    input = sys.stdin.readline

    n,k = map(int,input().split())
    a = sorted(list(map(int,input().split())))
    f = sorted(list(map(int,input().split())),reverse=True)
    check = []
    for i in range(n):
        check.append((a[i]*f[i],a[i],f[i]))

    def search(x):
        count = 0

        for i,j,k in check:
            if i > x:
                y = math.floor(x/k)
                count += j-y
        return count

    left = -1
    right = 10**12+2
    while right > left+1:
        mid = (right+left)//2
        if search(mid) > k:
            left = mid
        else:
            right = mid
    print(right)
if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import math
n,k = map(int,input().split())
a = sorted(list(map(int,input().split())))
f = sorted(list(map(int,input().split())),reverse=True)
check = []
for i in range(n):
    check.append((a[i]*f[i],a[i],f[i]))

def search(x):
    count = 0

    for i,j,k in check:
        if i > x:
            y = math.floor(x/k)
            count += j-y
    return count

left = -1
right = 10**13
while right > left+1:
    mid = (right+left)//2
    if search(mid) > k:
        left = mid
    else:
        right = mid
print(right)

Fixed submission:
def main():
    import math
    import sys
    input = sys.stdin.readline

    n,k = map(int,input().split())
    a = sorted(list(map(int,input().split())))
    f = sorted(list(map(int,input().split())),reverse=True)
    check = []
    for i in range(n):
        check.append((a[i]*f[i],a[i],f[i]))

    def search(x):
        count = 0

        for i,j,k in check:
            if i > x:
                y = math.floor(x/k)
                count += j-y
        return count

    left = -1
    right = 10**12+2
    while right > left+1:
        mid = (right+left)//2
        if search(mid) > k:
            left = mid
        else:
            right = mid
    print(right)
if __name__ == "__main__":
    main()
Buggy python submission (verdict: Runtime Error):
import fractions

  
def isprime(x):
    count = 1
    for i in range(2,int(x**0.5)+1):
        if x % i == 0:
            count += 1
      
    return count

a,b = map(int,input().split())
g = fractions.gcd(a,b)



ans=0
for i in range(1,int(g**0.5)+1):
    if g % i == 0:
        if isprime(i) == 1:
            ans += 1
        if i != g//i:
            if isprime(g//i) == 1:
                ans += 1
       

print(ans)
  

  

  

  

  


Fixed submission:
n = int(input())
if n%2==0:
  print(1/2)
else:
  print((n//2+1)/n)
Buggy python submission (verdict: Runtime Error):
n,k = map(int,input().split())
l = [list(map(int,input().split()))]
count=0
for i in l:
  if i >= k:
    count+=1
    
print(count)

Fixed submission:
n,k = map(int,input().split())
l = list(map(int,input().split()))
count=0

for i in l:
  if i >= k:
    count+=1
    
print(count)
Buggy python submission (verdict: Time Limit Exceeded):
import fractions

  
def isprime(x):
    count = 1
    for i in range(2,int(x**0.5)+1):
        if x % i == 0:
            count += 1
      
    return count

a,b = map(int,input().split())
g = fractions.gcd(a,b)



ans=0
for i in range(1,int(g**0.5)+1):
    if g % i == 0:
        if isprime(i) == 1:
            ans += 1
        if i != g//i:
            if isprime(g//i) == 1:
                ans += 1
       

print(ans)
  

  

  

  

  


Fixed submission:
def gcd(x, y):
    a, b = x, y
    r = a % b
    while r != 0:
        a, b = b, r
        r = a % b
    return b

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

def isprime(x):
    t = 1
    for i in range(2, int(x**0.5) + 1):
        if x % i == 0:
            t = 0
            break
    if t == 1 and x != 1:
        return True
    else:
        return False


a, b = map(int, input().split())

CD = divisors(gcd(a, b))

ans = 1
for cd in CD:
    if isprime(cd):
        ans += 1

print(ans)

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

  
def isprime(x):
    count = 1
    for i in range(2,int(x**0.5)+1):
        if x % i == 0:
            count += 1
      
    return count

a,b = map(int,input().split())
g = fractions.gcd(a,b)



ans=1
for i in range(2,g+1):
    if g % i == 0:
      
        if isprime(i) == 1:
            ans+=1
       

print(ans)
  

  

  

  

  


Fixed submission:
def gcd(x, y):
    a, b = x, y
    r = a % b
    while r != 0:
        a, b = b, r
        r = a % b
    return b

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

def isprime(x):
    t = 1
    for i in range(2, int(x**0.5) + 1):
        if x % i == 0:
            t = 0
            break
    if t == 1 and x != 1:
        return True
    else:
        return False


a, b = map(int, input().split())

CD = divisors(gcd(a, b))

ans = 1
for cd in CD:
    if isprime(cd):
        ans += 1

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n,m = map(int,input().split())
l = list(map(int,input().split()))
l.sort()
for i in range(m):
    l[-1] = l[-1]//2
    l.sort()
print(sum(l))

Fixed submission:
import heapq
n,m = map(int,input().split())
l = list(map(lambda x: int(x)*(-1),input().split()))
heapq.heapify(l)
for i in range(m):
    min = heapq.heappop(l)
    heapq.heappush(l,(-1)*(-min//2))
    
print(-sum(l))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
s = input()

def search(x):
    for i in range(n-2*x+1):
        
        if s[i:i+x] in s[i+x:]:


            return True

    return False

l = 0
r = n//2+1
while r > l+1:
    mid = (r+l)//2
    if search(mid):
        l = mid
    else:
        r = mid
print(l)

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

def z_algo(s):
    l = len(s)
    count = [0]*l
    i = 1
    j = 0
    count[0] = l
    while i < l:
        while i+j < l and s[i+j] == s[j]:
            j += 1
        count[i] = j
        if j == 0:
            i += 1
            continue
        
        k = 1
        while l - i > k and k < j-count[k]:
            count[i+k] = count[k]
            k += 1
        i += k
        j -= k
    return count
count = 0
for i in range(n):
    ans = z_algo(s[i:])
    for j in range(n-i):
        count = max(count,min(ans[j],j))

print(count)

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

def search(x):
    for i in range(n-x):
        
        if s[i:i+x] in s[i+x:]:


            return True

    return False

l = -1
r = n+1
while r > l+1:
    mid = (r+l)//2
    if search(mid):
        l = mid
    else:
        r = mid
print(l)

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

def z_algo(s):
    l = len(s)
    count = [0]*l
    i = 1
    j = 0
    count[0] = l
    while i < l:
        while i+j < l and s[i+j] == s[j]:
            j += 1
        count[i] = j
        if j == 0:
            i += 1
            continue
        
        k = 1
        while l - i > k and k < j-count[k]:
            count[i+k] = count[k]
            k += 1
        i += k
        j -= k
    return count
count = 0
for i in range(n):
    ans = z_algo(s[i:])
    for j in range(n-i):
        count = max(count,min(ans[j],j))

print(count)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
s = list(input())

dp = [[0]*(n+1) for i in range(n+1)]
for i in range(n-1,-1,-1):
    for j in range(n-1,-1,-1):
        if s[i] == s[j]:
            dp[i][j] = dp[i+1][j+1] +1
        
ans = 0
for i in range(n-1):
    for j in range(i+1,n):
        ans = max(ans,min(dp[i][j],j-i))

print(ans)

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

def z_algo(s):
    l = len(s)
    count = [0]*l
    i = 1
    j = 0
    count[0] = l
    while i < l:
        while i+j < l and s[i+j] == s[j]:
            j += 1
        count[i] = j
        if j == 0:
            i += 1
            continue
        
        k = 1
        while l - i > k and k < j-count[k]:
            count[i+k] = count[k]
            k += 1
        i += k
        j -= k
    return count
count = 0
for i in range(n):
    ans = z_algo(s[i:])
    for j in range(n-i):
        count = max(count,min(ans[j],j))

print(count)
Buggy python submission (verdict: Runtime Error):
a,b = map(int,input().split())

if a >= b:
  print(1)
else:
  c = 1
  count=0
  while b > c:
    c + = a-1
    
    count += 1
  print(count)


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

c = 1
count=0
while b > c:
  c += a-1
    
  count += 1
print(count)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
print(sum(i for i in range(1,n)))



Fixed submission:
n = int(input())
print(n*(n-1)//2)
Buggy python submission (verdict: Runtime Error):
n,k = map(int,input().split())
a = list(map(int,input().split()))
mod = 10**9+7

class BIT:
    def __init__(self, n):
        self.size = n
        self.tree = [0]*(n+1)
 
    def sum(self, i):
        # [0, i) の要素の総和を返す
        s = 0
        while i>0:
            s += self.tree[i]
            i -= i & -i
        return s
    # 0 index を 1 index に変更  転倒数を求めるなら1を足していく
    def add(self, i, x):
        while i <= self.size:
            self.tree[i] += x
            i += i & -i

bit = BIT(n)
count = [0]*(2001)
t = []
for i in range(n):
    x = a[i]
    count[x] += 1
    t.append(i-bit.sum(x))
    bit.add(x,1)

for i in range(1,2001):
    count[i] += count[i-1]

ans = 0
for i in range(n):
    x = k*(2*t[i]+(k-1)%mod*count[a[i]-1])//2
    ans = (ans+x)%mod
print(ans)


Fixed submission:
n,k = map(int,input().split())
a = list(map(int,input().split()))
mod = 10**9+7

class BIT:
    def __init__(self, n):
        self.size = n
        self.tree = [0]*(n+1)
 
    def sum(self, i):
        # [0, i) の要素の総和を返す
        s = 0
        while i>0:
            s += self.tree[i]
            i -= i & -i
        return s
    # 0 index を 1 index に変更  転倒数を求めるなら1を足していく
    def add(self, i, x):
        while i <= self.size:
            self.tree[i] += x
            i += i & -i

bit = BIT(2001)
count = [0]*(2001)
t = []
for i in range(n):
    x = a[i]
    count[x] += 1
    t.append(i-bit.sum(x))
    bit.add(x,1)

for i in range(1,2001):
    count[i] += count[i-1]

ans = 0
for i in range(n):
    x = k*(2*t[i]+(k-1)%mod*count[a[i]-1])//2
    ans = (ans+x)%mod
print(ans)
Buggy python submission (verdict: Runtime Error):
from collections import deque

n,q = map(int,input().split())
E = [[] for i in range(n)]
for i in range(n-1):
    a,b = map(int,input().split())
    E[a-1].append(b-1)
    E[b-1].append(a-1)
 

score = [0]*n
for i in range(q):
    a,b = map(int,input().split())
    score[a-1] += b

def bfs(i):
    s = -1
    q = deque([])
    q.append((i-1,s))
    while q:
        
        num,bef = q.pop()
        for j in E[num]:
            if j == bef:
                continue
            else:
                score[j] += score[num]
                q.append((j,num))
            
    return score
print(*bfs(1))


    




Fixed submission:
if int(input()) >= 3200:
  print(input())
else:
  print("red")
Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
s = list(input())
s += s
t = list(input())
ls = len(s)
check = [[] for i in range(26)]
for i in range(len(s)):
    o = ord(s[i])-ord("a")

    check[o].append(i+1)
ans = 0
c1 = 0
for i in t:
    o =ord(i)-ord("a")
    if check[o]:
        com = False
        lo = len(check[o])
        for j in range(lo):
            if ans < c1*len(s)+check[o][j]:
                ans = c1*len(s)+check[o][j]
                com = True
                break   
        if not com:
            c1 += 1
            for j in range(lo):
                if ans < c1*len(s)+check[o][j]:
                    ans = c1*len(s)+check[o][j]
                    
                    com = True
                    break   

    else:
        print(-1)
        exit()
    
print(ans)


Fixed submission:
import bisect
s = list(input())
t = list(input())
ls = len(s)
check = [[] for i in range(26)]
for i in range(len(s)):
    o = ord(s[i])-ord("a")

    check[o].append(i+1)
ans = 0
c1 = 0

for i in t:
    o =ord(i)-ord("a")
    if check[o]:
        x = bisect.bisect_right(check[o],ans) 
        if x == len(check[o]):
            c1 += 1
            ans = check[o][0]
        else:
            ans = check[o][x]
            

    else:
        print(-1)
        exit()
 
print(ans+c1*ls)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
n = int(input())
l = []
check = []
count = 0
for i in range(n):
    a = list(input())
    a.sort()
    
    if a in l:
        index = l.index(a)
        count += check[index]
        check[index] += 1
    else:
        l.append(a)
        check.append(1)


print(count)

Fixed submission:
n = int(input())
dic = {}
for i in range(n):
    s = "".join(sorted(input()))
    if s in dic:
        dic[s] += 1
    else:
        dic[s] = 1
ans = 0
for i in dic.values():
    if i > 1:
        ans += i*(i-1)//2
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
n = int(input())
l = []
check = []
count = 0
for i in range(n):
    a = list(input())
    b = Counter(a)
    b = sorted(b.items())
    if b in l:
        index = l.index(b)
        count += check[index]
        check[index] += 1
    else:
        l.append(b)
        check.append(1)


print(count)

Fixed submission:
n = int(input())
dic = {}
for i in range(n):
    s = "".join(sorted(input()))
    if s in dic:
        dic[s] += 1
    else:
        dic[s] = 1
ans = 0
for i in dic.values():
    if i > 1:
        ans += i*(i-1)//2
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
def main():
    n,m = map(int,input().split())
    l = [list(map(int,input().split())) for i in range(n)]
    ans = [0]*(m)

    l.sort(key = lambda x: x[1],reverse=True)

    for i in range(n):
        a,b = l[i]
        
        for j in range(a-1,m):
            if ans[j] == 0:
                ans[j] = b
                break
    print(sum(ans))

if __name__ == "__main__":
	main()


Fixed submission:
def main():
    import heapq
    n,m = map(int,input().split())
    l = [list(map(int,input().split())) for i in range(n)]
    l.sort()
    q = []
    ans = 0
    now = 0
    for i in range(1,m+1):
        for j in range(now,n):
            if l[j][0] <= i:
                heapq.heappush(q,-l[j][1])
                now = j+1 
            else:
                now = j
                break
        if q:
            ans -= heapq.heappop(q)
       
    print(ans)

if __name__ == "__main__":
	main()

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    n,m = map(int,input().split())
    l = [list(map(int,input().split())) for i in range(n)]
    ans = [0]*(m)

    l.sort(key = lambda x: x[1],reverse=True)

    for i in range(n):
        a,b = l[i]
        
        for j in range(a-1,m):
            if ans[j] == 0:
                ans[j] = b
                break
    print(sum(ans))


main()

Fixed submission:
def main():
    import heapq
    n,m = map(int,input().split())
    l = [list(map(int,input().split())) for i in range(n)]
    l.sort()
    q = []
    ans = 0
    now = 0
    for i in range(1,m+1):
        for j in range(now,n):
            if l[j][0] <= i:
                heapq.heappush(q,-l[j][1])
                now = j+1 
            else:
                now = j
                break
        if q:
            ans -= heapq.heappop(q)
       
    print(ans)

if __name__ == "__main__":
	main()

Buggy python submission (verdict: Time Limit Exceeded):
n,m = map(int,input().split())
l = [list(map(int,input().split())) for i in range(n)]
ans = [0]*(m+1)

l.sort(key = lambda x: x[1],reverse=True)

for i in range(n):
    a,b = l[i]
    for j in range(a,m+1):
        if ans[j] == 0:
            ans[j] = b
            break
print(sum(ans))




Fixed submission:
def main():
    import heapq
    n,m = map(int,input().split())
    l = [list(map(int,input().split())) for i in range(n)]
    l.sort()
    q = []
    ans = 0
    now = 0
    for i in range(1,m+1):
        for j in range(now,n):
            if l[j][0] <= i:
                heapq.heappush(q,-l[j][1])
                now = j+1 
            else:
                now = j
                break
        if q:
            ans -= heapq.heappop(q)
       
    print(ans)

if __name__ == "__main__":
	main()
Buggy python submission (verdict: Runtime Error):
n = int(input())
count = 0
if len(n)%2 == 0:
  for i in range(len(n)//2):
    count += 9*(10**(2*i))
  print(count)
else:
  for i in range(len(n)//2):
    count += 9*(10**(2*i))
  count += n - 10**(len(n)-1)+1
  print(count)
  
    

Fixed submission:
n = input()
count = 0
if len(n)%2 == 0:
  for i in range(len(n)//2):
    count += 9*(10**(2*i))
  print(count)
else:
  for i in range(len(n)//2):
    count += 9*(10**(2*i))
  count += int(n) - 10**(len(n)-1)+1
  print(count)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
l = list(map(int,input().split()))
ans = []
plus = sum(l)
for i in range(n):
    
    minus = 0
    
    for j in range(1,n,2):  
        
        minus += l[(i+j)%n]
    ans.append(plus-2*minus)

print(*ans)


Fixed submission:
n = int(input())
l = list(map(int,input().split()))
ans = []
plus = sum(l)
minus = 0
for j in range(1,n,2):  
        
    minus += l[(j)%n]
ans.append(plus-2*minus)
for i in range(1,n):
    ans.append(2*l[i-1]-ans[i-1])

print(*ans)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
l = list(map(int,input().split()))
ans = []
for i in range(n):
    plus = 0
    minus = 0
    mod = i%2
    for j in range(n):
        if (i+j) % 2 == mod:
            plus += l[(i+j)%n]
        else:
            minus += l[(i+j)%n]
    ans.append(plus-minus)

print(*ans)



Fixed submission:
n = int(input())
l = list(map(int,input().split()))
ans = []
plus = sum(l)
minus = 0
for j in range(1,n,2):  
        
    minus += l[(j)%n]
ans.append(plus-2*minus)
for i in range(1,n):
    ans.append(2*l[i-1]-ans[i-1])

print(*ans)
Buggy python submission (verdict: Runtime Error):
s = input()

s.sort()

if s[0] == s[1] and s[2] == s[3]:
  if s[0] != s[2] and s[1] != s[2]:
    print("Yes")
    exit()
print("No")

    

Fixed submission:
s = list(input())

s.sort()

if s[0] == s[1] and s[2] == s[3]:
  if s[0] != s[2] and s[1] != s[2]:
    print("Yes")
    exit()
print("No")
Buggy python submission (verdict: Runtime Error):
n,l = map(int,input().split())

if l <= 0 <= n+l-1:
  print((n+l)*(n+l-1)//2 - (-l)*(-l+1)//2)
elif n+l-1 < 0:
  print((n-1)*(n+2l-2)//2)
else:
  print((n-1)*(n+2l)//2)
  

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

if l <= 0 <= n+l-1:
  print((n+l)*(n+l-1)//2 - (-l)*(-l+1)//2)
elif n+l-1 < 0:
  print((n-1)*(n+2*l-2)//2)
else:
  print((n-1)*(n+2*l)//2)
Buggy python submission (verdict: Runtime Error):
import math

a,b,c,d = map(int,input().split())
cd =  int(c*d/math.gcd(c, d))

ac1,ac2 = a//c,a%c
ad1,ad2 = a//d,a%d
bc1,bc2 = b//c,b%c
bd1,bd2 = b//d,b%d
acd1,acd2 = a//cd,a%cd
bcd1,bcd2 = b//cd,b%cd

if ac2 == 0:
    a_ = bc1-ac1+1
else:
    a_ = bc1-ac1

if ad2 == 0:
    b_ = bd1-ad1+1
else:
    b_ = bd1-ad1

if acd2 == 0:
    c_ = bcd1-acd1+1
else:
    c_ = bcd1-acd1

print(b-a+1-(a_+b_-c_))




Fixed submission:
import fractions

a,b,c,d = map(int,input().split())
cd =  int(c*d/fractions.gcd(c, d))

ac1,ac2 = a//c,a%c
ad1,ad2 = a//d,a%d
bc1,bc2 = b//c,b%c
bd1,bd2 = b//d,b%d
acd1,acd2 = a//cd,a%cd
bcd1,bcd2 = b//cd,b%cd

if ac2 == 0:
    a_ = bc1-ac1+1
else:
    a_ = bc1-ac1

if ad2 == 0:
    b_ = bd1-ad1+1
else:
    b_ = bd1-ad1

if acd2 == 0:
    c_ = bcd1-acd1+1
else:
    c_ = bcd1-acd1

print(b-a+1-(a_+b_-c_))
Buggy python submission (verdict: Time Limit Exceeded):
import sys
sys.setrecursionlimit(10**6)
n = int(input())
v = 10**5+2
e = [[] for i in range(2*v)]
for i in range(n):
    x,y = map(int,input().split())
    y += v
    e[x].append(y)
    e[y].append(x)
visit = [0]*(2*v)
def dfs(x):
    if not visit[x]:
        visit[x] = 1
        count[x//v] += 1
        for nex in e[x]:
            dfs(nex)
ans = 0
for i in range(v):
    if not visit[i]:
        count = [0]*2
        dfs(i)
        ans += count[0]*count[1]
print(ans-n)
    


Fixed submission:
import sys
sys.setrecursionlimit(10**6)
n = int(input())
v = 10**5+2
e = [[] for i in range(2*v)]
for i in range(n):
    x,y = map(int,input().split())
    y += v
    e[x].append(y)
    e[y].append(x)
visit = [0]*(2*v)
def dfs(x):
    if not visit[x]:
        visit[x] = 1
        count[x//v] += 1
        for nex in e[x]:
            dfs(nex)
ans = 0
for i in range(v):
    if not visit[i]:
        count = [0]*2
        dfs(i)
        ans += count[0]*count[1]
print(ans-n)
Buggy python submission (verdict: Runtime Error):
n,x = map(int,input().split())
l = list(map(int,input().split()))
count = 1
x1 = 0
for i in range(n):
  if x1 + l[i] <= x:
    count += 1
    x1 += l[i]
  else:
    print(count)
    exit()
print(count)  


Fixed submission:
x,a = map(int,input().split())
print(0 if x < a else 10)