qyliang/CodeNanoFix huggingface dataset:
Buggy code:
a,b,c,d = map(int, input().split())
def gcd(a,b):
  while b > 0:
    a,b = b,a%b
    return a
def lcm(a,b):
  return a*b//gcd(a,b)
def f(x):
  return x//c+x//d-x//lcm(c,d)
print(b-a+1-f(b)-f(a-1))  

Fixed code:
a,b,c,d = map(int, input().split())
def gcd(a,b):
  while b > 0:
    a,b = b,a%b
  return a
def lcm(a,b):
  return a*b//gcd(a,b)
def f(x):
  return x//c + x//d - x//lcm(c,d)
def g(x):
  return x-f(x)
print(g(b)-g(a-1))
Buggy code:
a,b,c,d=map(int,input().split())

def gcd(a,b):
    if a==0:
        return b
    else:
        return gcd(b%a,a)

cdlcm=c*d/gcd(c,d)

cd=b//c-(a-1)//c
dd=b//d-(a-1)//d
cdd=b//(cdlcm)-(a-1)//(cdlcm)

print(round(b-a+1-(cd+dd-cdd)))

Fixed code:
a,b,c,d=map(int,input().split())

def gcd(a,b):
    if a==0:
        return b
    else:
        return gcd(b%a,a)

cdlcm=c*d//gcd(c,d)

cd=b//c-(a-1)//c
dd=b//d-(a-1)//d
cdd=b//(cdlcm)-(a-1)//(cdlcm)

print(round(b-a+1-(cd+dd-cdd)))
Buggy code:
a,b,c,d = list(map(int,input().split()))
ans = 0
if b % c == 0:
    ans += int(b/c)
else:
    ans += int((b- (b%c)) /c)

if (a-1) % c == 0:
    ans -= (a-1)/c
else:
    ans -= ((a-1)- ((a-1)%c)) /c

ans = int(ans)
if b % d == 0:
    ans += b/d
else:
    ans += (b- (b%d)) /d

if (a-1) % d == 0:
    ans -= (a-1)/d
else:
    ans -= ((a-1)- ((a-1)%d)) /d
ans = int(ans)
e = c*d

c_2 = c
d_2 = d
if (c_2< d_2):
    tmp = c_2
    c_2 = d_2
    d_2 = tmp
r = c_2 % d_2
while r != 0:
    c_2 = d_2
    d_2 = r
    r = c_2 % d_2
e = int(e /d_2)

ans2 = 0


if b % e == 0:
    ans2 += b/e
else:
    ans2 += (b- (b%e)) /e
if (a-1) % e == 0:
    ans2 -= (a-1)/e
else:
    ans2 -= ((a-1)- ((a-1)%e)) /e

sa = ans - ans2
print(int(b-a+1-sa))

Fixed code:
a,b,c,d = list(map(int,input().split()))
ans = 0
if b % c == 0:
    ans += b//c
else:
    ans += (b- (b%c)) //c

if (a-1) % c == 0:
    ans -= (a-1)//c
else:
    ans -= ((a-1)- ((a-1)%c)) //c

ans = int(ans)
if b % d == 0:
    ans += b//d
else:
    ans += (b- (b%d)) //d

if (a-1) % d == 0:
    ans -= (a-1)//d
else:
    ans -= ((a-1)- ((a-1)%d)) //d
ans = int(ans)
e = c*d

c_2 = c
d_2 = d
if (c_2< d_2):
    tmp = c_2
    c_2 = d_2
    d_2 = tmp
r = c_2 % d_2
while r != 0:
    c_2 = d_2
    d_2 = r
    r = c_2 % d_2
e = int(e //d_2)

ans2 = 0


if b % e == 0:
    ans2 += b//e
else:
    ans2 += (b- (b%e)) //e
if (a-1) % e == 0:
    ans2 -= (a-1)//e
else:
    ans2 -= ((a-1)- ((a-1)%e)) //e

sa = ans - ans2
print(int(b-a+1-sa))
Buggy code:
import math


# def calc(n, c, d):
#     return n-(math.floor(n / c) +
#               math.floor(n / d) - math.floor(n / (c * d / math.gcd(c, d))))
def calc(n, c, d):
    return n-(n // c +
              n // d - n // (c * d / math.gcd(c, d)))

def main():
    a, b, c, d = map(int, input().split())

    print(calc(b, c, d)-calc(a-1, c, d))


if __name__ == "__main__":
    main()


Fixed code:
import math


# def calc(n, c, d):
#     return n-(math.floor(n / c) +
#               math.floor(n / d) - math.floor(n / (c * d / math.gcd(c, d))))
def calc(n, c, d):
    return n-(n // c +
              n // d - n // (c * d // math.gcd(c, d)))


def main():
    a, b, c, d = map(int, input().split())

    print(calc(b, c, d)-calc(a-1, c, d))


if __name__ == "__main__":
    main()
Buggy code:
A,B,C,D = map(int, input().split())

k = B - A + 1

if A%C == 0:
    sc = B//C -A//C +1
else:
    sc = B//C -A//C

if A%D == 0:
    sd = B//D -A//D +1
else:
    sd = B//D -A//D    
    

def gcd(a,b):
  while b!=0:
    a,b=b,a%b
  return a

cd = C*D/gcd(C,D)

if A%D == 0:
    scd = B//cd -A//cd +1
else:
    scd = B//cd -A//cd    

print(int(k + scd -sc -sd))

Fixed code:
A,B,C,D = map(int, input().split())

k = B - A + 1

if A%C == 0:
    sc = B//C -A//C +1
else:
    sc = B//C -A//C

if A%D == 0:
    sd = B//D -A//D +1
else:
    sd = B//D -A//D    
    

def gcd(a,b):
  while b!=0:
    a,b=b,a%b
  return a

cd = C*D//gcd(C,D)

if A%cd == 0:
    scd = B//cd -A//cd +1
else:
    scd = B//cd -A//cd    

print(int(k + scd -sc -sd))
Buggy code:
def gcd(a,b):
    if b == 0:
        return a
    else:
        return gcd(b,a%b)

def lcm(a,b):
    return a*b // gcd(a,b)

a,b,c,d = map(int,input().split())
A = a-((a//c) + (a//d) - a//lcm(c,d))
B = b-((b//c) + (b//d) - b//lcm(c,d))
print(B-A)

Fixed code:
def gcd(a,b):
    if b == 0:
        return a
    else:
        return gcd(b,a%b)

def lcm(a,b):
    return a*b // gcd(a,b)

a,b,c,d = map(int,input().split())
a -= 1
A = a-((a//c) + (a//d) - a//lcm(c,d))
B = b-((b//c) + (b//d) - b//lcm(c,d))
print(B-A)
Buggy code:
def resolve():
    A, B, C, D = map(int, input().split())
    d = D
    c = C
    gcd = 0
    while gcd == 0:
        if d % c == 0:
            gcd = c
            break
        else:
            d = c
            c = d % c
    lcm = C*D//gcd
    A = A-1
    print((B-B//C-B//D+B//lcm)-(A-A//C-A//D+A//lcm))
resolve()

Fixed code:
def resolve():
    A, B, C, D = map(int, input().split())
    d = D
    c = C
    gcd = 0
    while gcd == 0:
        if d % c == 0:
            gcd = c
        else:
            e = d%c
            d = c
            c = e
    lcm = C*D//gcd
    A = A-1
    print((B-B//C-B//D+B//lcm)-(A-A//C-A//D+A//lcm))
resolve()
Buggy code:
def gcd(a, b):
    while b != 0:
        a, b = b, a % b
    return a

def lcm(x, y):
    return (x * y) // gcd(x, y)¥


A, B, C, D = map(int, input().split())
cnt = B - A + 1
all_range = B // C + B // D - B // lcm(C , D)
sub_end = A - 1
sub_range = sub_end // C + sub_end // D - sub_end // lcm(C , D)
print(cnt - (all_range - sub_range))

Fixed code:
def gcd(a, b):
    while b != 0:
        a, b = b, a % b
    return a

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

A, B, C, D = map(int, input().split())
cnt = B - A + 1
all_range = B // C + B // D - B // lcm(C , D)
sub_end = A - 1
sub_range = sub_end // C + sub_end // D - sub_end // lcm(C , D)
print(cnt - (all_range - sub_range))
Buggy code:
A, B, C, D = map(int, input().split())
numC = B//C - A//C
numD = B//D - A//D

def gcd(a, b):
    a, b = max(a, b), min(a, b)
    if a % b == 0:
        return b
    return gcd(b, a%b)

CD = C * D // gcd(C, D)

numCD = B//CD - A//CD
numAll = B - A + 1
print(numAll - numC - numD + numCD)


Fixed code:
A, B, C, D = map(int, input().split())

numC = B//C - (A-1)//C
numD = B//D - (A-1)//D

def gcd(a, b):
    a, b = max(a, b), min(a, b)
    if a % b == 0:
        return b
    return gcd(b, a%b)

CD = C * D // gcd(C, D)

numCD = B//CD - (A-1)//CD
numAll = B - A + 1
print(numAll - numC - numD + numCD)
Buggy code:
import math
a,b,c,d=map(int, input().split())
def gcd(a, b):
	while b:
		a, b = b, a % b
	return a
	
e = (c * d / gcd(c, d))
print(e)


f=math.ceil(a/c) 
g=math.ceil(b/c) 
h=math.ceil(a/d) 
k=math.ceil(b/d) 
l=math.ceil(a/e)
m=math.ceil(b/e)
x=b-a
y=g-f
z=k-h
w=m-l

print(round(x-y-z+w))

Fixed code:
import math
a,b,c,d=map(int, input().split())
def gcd(a, b):
	while b:
		a, b = b, a % b
	return a
	
e = round(c * d / gcd(c, d))

f=(a-1)//c
g=b//c
h=(a-1)//d 
k=b//d
l=(a-1)//e
m=b//e

x=(b-a+1)
y=g-f
z=k-h
w=m-l

print(x-y-z+w)
Buggy code:
#data=list(input().split())
a,b,c,d=map(int,input().split())
def gcd(x , y):
    if y == 0 
        return x 
    else gcd(y, x%y)

def gys(a,b):
    remainder = gcd(a,b)
    return int(a*b/remainder)

lcmm=gys(c,d)
def ans(n,k):
    return int(n/k)
def x(s):
    return ans(s,c)+ans(s,d)-ans(s,lcmm)
#print(x(b),x(a))
if a%c==0 or a%d==0:
    print(b-a-x(b)+x(a))
else:
    print(b-a+1-x(b)+x(a))




Fixed code:
#data=list(input().split())
a,b,c,d=map(int,input().split())
def gcd(x , y):
    if y == 0:
        return x 
    else:
        return gcd(y, x%y)

def gys(a,b):
    remainder = gcd(a,b)
    return a*b//remainder

lcmm=gys(c,d)
def ans(n,k):
    return n//k
def x(s):
    return ans(s,c)+ans(s,d)-ans(s,lcmm)
#print(x(b),x(a))

print(b-a+1-x(b)+x(a-1))
Buggy code:
import sys
sys.setrecursionlimit(10 ** 9)

def gcd(a, b):
    if a < b:
        a, b = b, a
    if a % b == 0:
        return b
    else:
        return gcd(b, a // b)
    

a, b, c, d = map(int, input().split())
divc = b // c - a // c
if a % c == 0:
    divc += 1
divd = b // d - a // d
if a % d == 0:
    divd += 1
    
lcm = c * d / gcd(c, d)
divlcm = b // lcm - a // lcm
if a % lcm == 0:
    divlcm += 1


div_or = divc + divd - divlcm
print(int(b - a + 1 - div_or))

Fixed code:
import sys
sys.setrecursionlimit(10 ** 9)

def gcd(a, b):
    if a < b:
        a, b = b, a
    if a % b == 0:
        return b
    else:
        return gcd(b, a % b)

a, b, c, d = map(int, input().split())
divc = b // c - a // c
if a % c == 0:
    divc += 1
divd = b // d - a // d
if a % d == 0:
    divd += 1
    
lcm = c * d // gcd(c, d)
divlcm = b // lcm - a // lcm
if a % lcm == 0:
    divlcm += 1


div_or = divc + divd - divlcm
print(int(b - a + 1 - div_or))
Buggy code:
from decimal import *
A,B,C,D=list(map(int,input().split()))

def gcd(a,b):
    x=max(a,b)
    y=min(a,b)
    
    while True:
#         print(x,y)
        y_ = x % y
        if y_ == 0:
            return y
        x = y
        y = y_

def lcm(a,b):
    ans=Decimal(a*b)/Decimal(gcd(a,b))
    return ans.as_integer_ratio()[0]

CD=lcm(C,D)
len_all = B-A+1
len_c = (B+0.1)//C-(A-0.1)//C
len_d = (B+0.1)//D-(A-0.1)//D
len_c_and_d = (B+0.1)//CD-(A-0.1)//CD

ans=len_all-len_c-len_d+len_c_and_d 
print(int(ans))

Fixed code:
from decimal import *
A,B,C,D=list(map(int,input().split()))

def gcd(a,b):
    x=max(a,b)
    y=min(a,b)
    
    while True:
#         print(x,y)
        y_ = x % y
        if y_ == 0:
            return y
        x = y
        y = y_

def lcm(a,b):
    ans=Decimal(a*b)/Decimal(gcd(a,b))
    return ans.as_integer_ratio()[0]

CD=lcm(C,D)
len_all = B-A+1
len_c = B//C-(A-1)//C
len_d = B//D-(A-1)//D
len_c_and_d = B//CD-(A-1)//CD

ans=len_all-len_c-len_d+len_c_and_d 
print(int(ans))
Buggy code:
A, B, C, D = map(int, input().split())
# A//C
ac = A // C # 4
bc = B // C # 2
ad = A // D # 3
bd = B // D # 1


def gcd(a, b):
    if b == 0:
        return a
    else:
        return gcd(b, a % b)

cd = C * D // gcd(C,D)
acd = A // cd
bcd = B // cd

res = B - A + 1 - bc + ac - bd + ad + bcd - acd
 

if B % C == 0:
    res -= 1
if B % D == 0:
    res -= 1
if B % cd == 0:
    res += 1

print(res)


Fixed code:
A, B, C, D = map(int, input().split())
# A//C
ac = A // C # 4
bc = B // C # 2
ad = A // D # 3
bd = B // D # 1


def gcd(a, b):
    if b == 0:
        return a
    else:
        return gcd(b, a % b)

cd = C * D // gcd(C,D)
acd = A // cd
bcd = B // cd

res = B - A + 1 - bc + ac - bd + ad + bcd - acd
 

if A % C == 0:
    res -= 1
if A % D == 0:
    res -= 1
if A % cd == 0:
    res += 1

print(res)
Buggy code:
import math
A, B, C, D = map(int, input().split())
cnt = 0
LCD = C*D/math.gcd(C,D)

ans = B-(B//C + B//D - B//LCD) - ((A-1)-((A-1)//C + (A-1)//D - (A-1)//LCD))

print(int(ans))

Fixed code:
import math
A, B, C, D = map(int, input().split())

LCD = C*D//math.gcd(C,D)

ans = B-(B//C + B//D - B//LCD) - ((A-1)-((A-1)//C + (A-1)//D - (A-1)//LCD))

print(int(ans))
Buggy code:
A,B,C,D = map(int, input().split())

def gcd(c,d):
	if(c==0):
		return d
	else:
		return gcd(d%c,c)
prod = C*D
lcm = prod//gcd(C,D)

AC=int(A/C)
AD=int(A/D)
BC=int(B/C)
BD=int(B/D)
ACD=int(A/lcm)
BCD=int(B/lcm)


print(B-A+1-BC-BD+BCD+AC+AD-ACD)


Fixed code:
A,B,C,D = map(int, input().split())

def gcd(c,d):
	if(c==0):
		return d
	else:
		return gcd(d%c,c)
prod = C*D
lcm = prod//gcd(C,D)

A-=1

AC=A//C
AD=A//D
BC=B//C
BD=B//D
ACD=A//lcm
BCD=B//lcm

print(B-A-BC-BD+BCD+AC+AD-ACD)
Buggy code:
import math
a,b,c,d=map(int,input().split())
e=a*b//math.gcd(a,b)
if a%c==0:
  p=b//c-a//c+1
else:
  p=b//c-a//c
if a%d==0:
  q=b//d-a//d+1
else:
  q=b//d-a//d
if a%e==0:
  r=b//e-a//e+1
else:
  r=b//e-a//e
print(b-a+1-(p+q-r))

Fixed code:
import math
a,b,c,d=map(int,input().split())
e=c*d//math.gcd(c,d)
if a%c==0:
  p=b//c-a//c+1
else:
  p=b//c-a//c
if a%d==0:
  q=b//d-a//d+1
else:
  q=b//d-a//d
if a%e==0:
  r=b//e-a//e+1
else:
  r=b//e-a//e
print(b-a+1-(p+q-r))
Buggy code:
a, b, c, d  = map(int,input().split())
import math
def divbyk(k):
    return    b//k-(a-1)//k

def gcd(x,y):
    n = min(x,y)
    m = max(x,y)
    if n == 0:
        return m
    else:
        return gcd(n,m-(m//n)*n)

ans = b-a+1-divbyk(c)-divbyk(d)+divbyk(c*d/gcd(c,d))
print(ans)

Fixed code:
a, b, c, d  = map(int,input().split())
def divbyk(k):
    return    b//k-(a-1)//k

def gcd(x,y):
    n = min(x,y)
    m = max(x,y)
    if n == 0:
        return m
    else:
        return round(gcd(n,m-(m//n)*n))

ans = b-(a-1) - divbyk(c) - divbyk(d) + divbyk(c*d//gcd(c,d))
print(int(ans))
Buggy code:
from math
a,b,c,d=list(map(int,input().split()))
a-=1
def calculation(x,c,d):
	x=x-(x//c)-(x//d)+(x//((c*d)//math.gcd(c,d)))
	return x
	
print(calculation(b,c,d)-calculation(a,c,d))

Fixed code:
import math
a,b,c,d=list(map(int,input().split()))
a-=1
def calculation(x,c,d):
	x=x-(x//c)-(x//d)+(x//((c*d)//math.gcd(c,d)))
	return x
	
print(calculation(b,c,d)-calculation(a,c,d))
Buggy code:
# -*- coding: utf-8 -*-
def gcd(a, b):
    while b != 0:
        a, b = b, a%b
    return a

def lcm(a, b):
    return a*b // gcd(a, b)

def anti_division_iter(a, b, r):
    n = b // r
    m = (a-1) // r
    return n - m

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

div_c = anti_division_iter(a, b, c)
div_d = anti_division_iter(a, b, d)
div_cd = anti_division_iter(a, b, lcm(c, d))
print(div_c, div_d, div_cd)

print((b-a+1) - (div_c + div_d - div_cd))


Fixed code:
# -*- coding: utf-8 -*-
def gcd(a, b):
    while b != 0:
        a, b = b, a%b
    return a

def lcm(a, b):
    return a*b // gcd(a, b)

def anti_division_iter(a, b, r):
    n = b // r
    m = (a-1) // r
    return n - m

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

div_c = anti_division_iter(a, b, c)
div_d = anti_division_iter(a, b, d)
div_cd = anti_division_iter(a, b, lcm(c, d))

print((b-a+1) - (div_c + div_d - div_cd))
Buggy code:
import math

def gcd(x,y):
  M=max(x,y)
  m=min(x,y)
  while(M%m!=0):
      r=M%m
      M=m
      m=r
  return m



def f(x,y):
  z=x//y
  return z


a,b,c,d=map(int,input().split())
g=gcd(c,d)
p=a-f(a,c)-f(a,d)+f(a,c*d/g)
q=b-f(b,c)-f(b,d)+f(b,c*d/g)
if(a%c!=0 and a%d!=0):
  print(q-p+1)
else:
  print(q-p)

Fixed code:
import math

def gcd(x,y):
  M=max(x,y)
  m=min(x,y)
  while(M%m!=0):
      r=M%m
      M=m
      m=r
  return m



def f(x,y):
  z=int(x//y)
  return z


a,b,c,d=map(int,input().split())
g=gcd(c,d)
p=a-f(a,c)-f(a,d)+f(a,int(c*d/g))
q=b-f(b,c)-f(b,d)+f(b,int(c*d/g))
if(a%c!=0 and a%d!=0):
  print(q-p+1)
else:
  print(q-p)
Buggy code:
import math
def lcm(a,b):
    A,B=a,b
    while b!=0:
        a,b=b,a%b
    return A*B/a

def count(a,b,c):
    return b//c-(a-1)//c

A,B,C,D=map(int,input().split())
C_count = count(A,B,C)
D_count = count(A,B,D)
CD_count = count(A,B,lcm(C,D))
ans = B - (A - 1) - (C_count + D_count - CD_count)
print("{}".format(ans))


Fixed code:
import math
def lcm(a,b):
    A,B=a,b
    while b!=0:
        a,b=b,a%b
    return A*B//a

def count(a,b,c):
    return b//c-(a-1)//c

A,B,C,D=map(int,input().split())
C_count = count(A,B,C)
D_count = count(A,B,D)
CD_count = count(A,B,lcm(C,D))
ans = B - (A - 1) - (C_count + D_count - CD_count)
print("{}".format(ans))
Buggy code:
import math
a,b,c,d = map(int,input().split())
e = int(c*d/math.gcd(c,d))
wa = 0
c_seki = int(b/c)-int((a-1)/c)
d_seki = int(b/d)-int((a-1)/d)
e_seki = int(b/e)-int((a-1)/e)
wa = c_seki+d_seki-e_seki
print(b-a+1-wa,c_seki,d_seki,e_seki)

Fixed code:
import math
a,b,c,d = map(int,input().split())
e = c*d//math.gcd(c,d)
wa = 0
c_seki = b//c-(a-1)//c
d_seki = b//d-(a-1)//d
e_seki = b//e-(a-1)//e
wa = c_seki+d_seki-e_seki
print(b-a+1-wa)
Buggy code:
a,b,c,d=map(int,input().split())
s=b-a
bc=b//c
if a%c==0:
    ac=a//c-1
else:
    ac=a//c
bd=b//d
if a%d==0:
    ad=a//d-1
else:
    ad=a//d
e=c
f=d
while f:
    e, f = f, e % f
gcd=e
l=c*d/gcd
bl=b//l
if a%l==0:
    al=a//l-1
else:
    al=a//l
print(int(b-a+1-(bc-ac+bd-ad-bl+al)))

Fixed code:
a,b,c,d=map(int,input().split())
bc=int(b//c)
if a%c==0:
    ac=int(a//c)-1
else:
    ac=int(a//c)
bd=b//d
if a%d==0:
    ad=int(a//d)-1
else:
    ad=int(a//d)
e=c
f=d
while f:
    e, f = f, int(e % f)
gcd=int(e)
l=int(c*d/gcd)
bl=int(b//l)
if a%l==0:
    al=int(a//l)-1
else:
    al=int(a//l)
s=int(b-a+1)
s2=int(bc-ac+bd-ad-bl+al)
print(s-s2)
Buggy code:
a,b,c,d = map(int,input().split())

def gcd(a,b):
    while b!=0:
        a,b=b,a%b
    return a

lcm = c*d//gcd(c,d)

b_num = b - b//c - b//d + b//lcm
a_num = a - a//c - a//d + a//lcm

ans = b_num - a_num + 1

print(ans)


Fixed code:
a,b,c,d = map(int,input().split())

def gcd(a,b):
    while b!=0:
        a,b=b,a%b
    return a

lcm = c*d//gcd(c,d)

b_num = b - b//c - b//d + b//lcm
a_num = (a-1) - (a-1)//c - (a-1)//d + (a-1)//lcm


ans = b_num - a_num

print(ans)
Buggy code:
def gcd(a, b):
  if a%b == 0:
    return b
  else:
    return gcd(b, a%b)
a, b, c, d = map(int, input().split())
n = b - a + 1
mod_c = (n + a%c - 1)//c + 1 if a%c == 0 else (n + a%c - 1)//c
mod_d = (n + a%d - 1)//d + 1 if a%d == 0 else (n + a%d - 1)//d
mod_cd = (n + a%(c*d/gcd(c, d)) - 1)//(c*d/gcd(c,d)) + 1 if a%(c*d/gcd(c,d)) == 0 else (n + a%(c*d/gcd(c,d)) - 1)//(c*d/gcd(c,d))
ans = n - mod_c - mod_d + mod_cd
print(int(ans))

Fixed code:
def gcd(a, b):
  if a%b == 0:
    return b
  else:
    return gcd(b, a%b)
a, b, c, d = map(int, input().split())
n = b - a + 1
mod_c = (n + a%c - 1)//c + 1 if a%c == 0 else (n + a%c - 1)//c
mod_d = (n + a%d - 1)//d + 1 if a%d == 0 else (n + a%d - 1)//d
mod_cd = (n + a%(int(c*d/gcd(c, d))) - 1)//(int(c*d/gcd(c,d))) + 1 if a%(c*d/gcd(c,d)) == 0 else (n + a%(int(c*d/gcd(c,d))) - 1)//(int(c*d/gcd(c,d)))
ans = n - mod_c - mod_d + mod_cd
print(int(ans))
Buggy code:
def GCD(s, t):
    if s < t:
        s, t = t, s
    if t == 0:
        return s
    else:
        return GCD(t,s%t)

A, B, C, D = map(int, input().split())
E = C*D // GCD(C,D)
x = B // C - A // C
y = B // D - A // D
z = B // E - A // E
print(B-A-x-y+z+1)

Fixed code:
def GCD(s, t):
    if s < t:
        s, t = t, s
    if t == 0:
        return s
    else:
        return GCD(t,s%t)

A, B, C, D = map(int, input().split())
E = C*D // GCD(C,D)
x = B // C - (A-1) // C
y = B // D - (A-1) // D
z = B // E - (A-1) // E
print(B-A-x-y+z+1)
Buggy code:
import sys

stdin = sys.stdin

ni = lambda: int(ns())
na = lambda: list(map(int, stdin.readline().split()))
ns = lambda: stdin.readline().rstrip()  # ignore trailing spaces

a, b, c, d = na()

def gcd(a, b):
    return a if b == 0 else gcd(b, b%a)

def cou(b, c, d):
    g = gcd(c, d)
    return b - b//c - b//d + b//(c//g*d)

print(cou(b, c, d) - cou(a-1, c, d))

Fixed code:
import sys

stdin = sys.stdin

ni = lambda: int(ns())
na = lambda: list(map(int, stdin.readline().split()))
ns = lambda: stdin.readline().rstrip()  # ignore trailing spaces

a, b, c, d = na()

def gcd(a, b):
    while b > 0:
        c = a % b
        a = b
        b = c
    return a

def cou(b, c, d):
    g = gcd(c, d)
    return b - b//c - b//d + b//(c//g*d)

print(cou(b, c, d) - cou(a-1, c, d))
Buggy code:
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a


def lcm(a, b):
    return a * b // gcd(a, b)


def count(n):
    return b // n - a // n


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

print(b - a + 1 - (count(c) + count(d) - count(lcm(c, d))))


Fixed code:
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a


def lcm(a, b):
    return a * b // gcd(a, b)


def count(n):
    return b // n - (a - 1) // n


a, b, c, d = map(int, input().split())
print(b - a + 1 - (count(c) + count(d) - count(lcm(c, d))))
Buggy code:
a, b, c, d = map(int, input().split())

def gcd(x, y):
    if y == 0:
        return x
    else:
        return gcd(y, x % y)

def count(b, c, d):
    return b - b//c - b//d + b//(c * d * gcd(c, d))

print(count(b, c, d) - count(a-1, c, d))

Fixed code:
a, b, c, d = map(int, input().split())

def gcd(x, y):
    if y == 0:
        return x
    else:
        return gcd(y, x % y)

def count(b, c, d):
    return b - b//c - b//d + b//(c * d // gcd(c, d))

print(count(b, c, d) - count(a-1, c, d))
Buggy code:
# coding: utf-8
a, b, c, d = [int(i) for i in input().split()]
c1, d1 = [d if c < d else c, c if c < d else d]
while d1 > 1:
    e = d1
    d1 = c1 % d1
    c1 = e
e = c * d / e
cnt = (b - a + 1) + int(b / e) - int(a / e) - int(b / c) + int(a / c) - int(b / d) + int(a / d)
print(cnt)


Fixed code:
# coding: utf-8
a, b, c, d = [int(i) for i in input().split()]
c1 = d if c < d else c
d1 = c if c < d else d
while d1 != 0:
    e = d1
    d1 = c1 % d1
    c1 = e
e = int((c * d) / e)
a -= 1
cnt = (b - a) + int(b // e) - int(a // e) - int(b // c) + int(a // c) - int(b // d) + int(a // d)
print(cnt)
Buggy code:
a,b,c,d= map(int,input().split())
def gcd(c,d):
    while d!=0:
        c,d=d,c%d
    return c


def lcm(c,d):
    return c*d//gcd(c,d)

a1=0
a2=0
b1=0
b2=0
e1=0
e2=0


e=(c*d)/gcd(c,d)

if(a-1>=c):
    a1=(a-1)//c
else:
    a1=0

if(b>=c):
    b1=b//c
else:
    b1=0

if(a-1>=d):
    a2=(a-1)//d
else:
    a2=0

if(b>=d):
    b2=b//d
else:
    b2=0

if(a-1>=e):
    e1=(a-1)//e
else:
    e1=0

if(b>=e):
    e2=b//e
else:
    e2=0
        
ans=b-a+1-(b1-a1)-(b2-a2)+(e2-e1)

print(ans)

Fixed code:
a,b,c,d= map(int,input().split())
def gcd(c,d):
    while d!=0:
        c,d=d,c%d
    return c


def lcm(c,d):
    return c*d//gcd(c,d)

a1=0
a2=0
b1=0
b2=0
e1=0
e2=0


e=int((c*d)/gcd(c,d))

if(a-1>=c):
    a1=(a-1)//c
else:
    a1=0

if(b>=c):
    b1=b//c
else:
    b1=0

if(a-1>=d):
    a2=(a-1)//d
else:
    a2=0

if(b>=d):
    b2=b//d
else:
    b2=0

if(a-1>=e):
    e1=(a-1)//e
else:
    e1=0

if(b>=e):
    e2=b//e
else:
    e2=0
        
ans=b-a+1-(b1-a1)-(b2-a2)+(e2-e1)

print(ans)
Buggy code:
def gcd(a, b):
	while b:
		a, b = b, a % b
	return a

def lcm(x,y):
    return (x*y) // gcd(x,y)
A,B,C,D =  list(map(int,input().split(" ")))
CD = lcm(C,D)

divisibleC = B // C - A//C
divisibleD = B // D - A // D
divisibleCD = B//CD - A//CD 
print(B - A + 1 -divisibleC - divisibleD + divisibleCD )



Fixed code:
def gcd(a, b):
	while b:
		a, b = b, a % b
	return a
 
def lcm(x,y):
    return (x*y) // gcd(x,y)
A,B,C,D =  list(map(int,input().split(" ")))
CD = lcm(C,D)
 
divisibleC = B // C - (A-1)//C
divisibleD = B // D - (A-1) // D
divisibleCD = B//CD - (A-1)//CD 
divisible = divisibleC +divisibleD - divisibleCD
numbers = B-A + 1
print(numbers -divisible )
Buggy code:
import sys
import math

A,B,C,D = map(int, input().split())
def lcm(x, y):
    return (x * y) // math.gcd(x, y)


maru1 = B // C
maru2 = A // C

maru3 = B // D
maru4 = A // D

maru5 = B // lcm(C,D)
maru6 = A // lcm(C,D)

ans_tmp = ((maru1-maru2)+(maru3-maru4)) - (maru5-maru6)
ans = ((B-A)+1) - ans_tmp

print(ans)

Fixed code:
import sys
import math

A,B,C,D = map(int, input().split())
def lcm(x, y):
    return (x * y) // math.gcd(x, y)


maru1 = B // C
maru2 = (A-1) // C

maru3 = B // D
maru4 = (A-1) // D

maru5 = B // lcm(C,D)
maru6 = (A-1) // lcm(C,D)

ans_tmp = ((maru1-maru2)+(maru3-maru4)) - (maru5-maru6)
ans = (B-A+1) - ans_tmp

print(ans)
Buggy code:
import sys

stdin = sys.stdin

ns = lambda : stdin.readline().rstrip()
ni = lambda : int(ns())
na = lambda : list(map(int, stdin.readline().split()))
sys.setrecursionlimit(10 ** 7)

def gcd(n, m):
  while m:
    n, m = m, n%m
  return n

def lcm(n, m):
  return n + m // gcd(n, m)

def f(n, m, l):
  a = n // l
  if a * l < n:
    a += 1
  b = m // l
  return b - a + 1

def main():
    a, b, c, d = na()
    x = b - a + 1
    print(x - f(a, b, c) - f(a, b, d) + f(a, b, lcm(c, d)))

if __name__ == '__main__':
    main()

Fixed code:
import sys

stdin = sys.stdin

ns = lambda : stdin.readline().rstrip()
ni = lambda : int(ns())
na = lambda : list(map(int, stdin.readline().split()))
sys.setrecursionlimit(10 ** 7)

def gcd(n, m):
  while m:
    n, m = m, n%m
  return n

def lcm(n, m):
  return (n * m) // gcd(n, m)

def f(n, m, l):
  a = n // l
  if a * l < n:
    a += 1
  b = m // l
  return b - a + 1

def main():
    a, b, c, d = na()
    x = b - a + 1
    print(x - (f(a, b, c) + f(a, b, d) - f(a, b, lcm(c, d))))

if __name__ == '__main__':
    main()
Buggy code:
A,B,C,D = map(int, input().split())
E = C*D
count =0
n = (A-1)//C
m = B//C
o = (A-1)//D
p= B//D
q= (A-1)//E
r= B//E
print((B-A+1) - ((m-n)+(p-o)-(r-q)))

Fixed code:
import math

A,B,C,D = map(int, input().split())
E = C*D // math.gcd(C, D)
count =0
n = (A-1)//C
m = B//C
o = (A-1)//D
p= B//D
q= (A-1)//E
r= B//E
print((B-A+1) - ((m-n)+(p-o)-(r-q)))