qyliang/CodeNanoFix huggingface dataset:
Buggy code:
list1 = list(map(int, input().split()))
n = list1[0]
x = list1[1]
list2 = list(map(int, input().split()))
list2.append(x)
list2.sort()

list3 = []
list4 = []
length = len(list2)
index =1
while index < length:
    if list2[index] ==x or list2[index-1]==x:
        list4.append(list2[index]-list2[index-1])
    else:
        list3.append(list2[index]-list2[index-1])
    index+=1
list3.append(max(list4))
list3.append(min(list4)+max(list4))

list3.sort()
mimN = list3[0]
ans =0
index2 =mimN
if len(list3) ==1:
    print(mimN)
else:
    flag2 =0
    for number in list3:
       if number%mimN !=0:
           flag2 =1
    if flag2 ==0:
        print(mimN)
    else:
        while index2>=1:
            flag=0
            for number in list3:
                if number%index2 ==0:
                    flag =1
                else:
                    flag =0
            if flag ==1:
                ans = index2
                break
            else:
                index2-=1
            
        print(ans)

Fixed code:
list1 = list(map(int, input().split()))
n = list1[0]
x = list1[1]
list2 = list(map(int, input().split()))
list2.append(x)
list2.sort()

list3 = []
list4 = []
length = len(list2)
index =1
while index < length:
    list3.append(list2[index]-list2[index-1])
    index+=1

list3.sort()
mimN = list3[0]
ans =0
index2 =mimN
if len(list3) ==1:
    print(mimN)
else:
    flag2 =0
    for number in list3:
       if number%mimN !=0:
           flag2 =1
    if flag2 ==0:
        print(mimN)
    else:
        while index2>=1:
            flag=0
            for number in list3:
                if number%index2 ==0:
                    flag =1
                else:
                    flag =0
                    break
            if flag ==1:
                ans = index2
                break
            else:
                index2-=1       
        print(ans)
Buggy code:
N, X = map(int, input().split())
P = [int(_) for _ in input().split()]

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

D = 1
a = abs(P[0]-X)
for i in range(N-1):
    D = gcd(a, abs(P[i]-X))
    a = D

print(D)

Fixed code:
N, X = map(int, input().split())
P = [int(_) for _ in input().split()]

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

D = abs(P[0]-X)
for i in range(N):
    D = gcd(D, abs(P[i]-X))

print(D)
Buggy code:
import sys

INPUT = lambda: sys.stdin.readline().rstrip()
MAP = lambda: map(int, INPUT().split())
LIST = lambda: list(map(int, INPUT().split()))

sys.setrecursionlimit(10 ** 9)


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)

    divisors.sort(reverse=True)
    return divisors


def main():
    N, X = MAP()
    x = LIST()

    if N == 1:
        print(max(1000000000 - X, X - 1))
        sys.exit()

    print(make_divisors(72))

    for d in make_divisors(max(x)-min(x)):
        for i in range(N):
            if abs(X - x[i]) % d != 0: break
        else:
            print(d)
            sys.exit()


if __name__ == '__main__':
    main()

Fixed code:
import sys

INPUT = lambda: sys.stdin.readline().rstrip()
MAP = lambda: map(int, INPUT().split())
LIST = lambda: list(map(int, INPUT().split()))

sys.setrecursionlimit(10 ** 9)


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)

    divisors.sort(reverse=True)
    return divisors


def main():
    N, X = MAP()
    x = LIST()

    if N == 1:
        print(abs(x[0] - X))
        sys.exit()

    for d in make_divisors(max(x)-min(x)):
        for i in range(N):
            if abs(X - x[i]) % d != 0: break
        else:
            print(d)
            sys.exit()


if __name__ == '__main__':
    main()
Buggy code:
n,x = map(int,input().split())
li = list(map(int,input().split()))

res_abs = []
res = []

s = 10**10

for i in range(n):
    s = abs(li[i] - x)
    res_abs.append(s)
    
    s = li[i] - x
    res.append(s)
    
res.sort()

temp = 10**10

for i in range(n-1):
    temp = min(temp, res[i+1] - res[i])
    
    
s = min(min(res), temp)
    
while True:
    for i in range(n):
        if res_abs[i]%s != 0:
            break
    else:
        print(s)
        exit()
        
    s -= 1

Fixed code:
n,x = map(int,input().split())
li = list(map(int,input().split()))

res_abs = []
res = []

s = 10**10

for i in range(n):
    s = abs(li[i] - x)
    res_abs.append(s)
    
    s = li[i] - x
    res.append(s)
    
res.sort()

temp = 10**10

for i in range(n-1):
    temp = min(temp, res[i+1] - res[i])

    
s = min(min(res_abs), temp)
    
while True:
    for i in range(n):
        if res_abs[i]%s != 0:
            break
    else:
        print(s)
        exit()
        
    s -= 1
Buggy code:
from functools import *
N, X = list(map(int, input().split(" ")))
xs = list(map(int, input().split(" ")))
xs = list(map(lambda x: X-x if X>x else x-X, xs))
def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a%b) 
r = reduce(gcd, d)
print(r)


Fixed code:
from functools import *
N, X = list(map(int, input().split(" ")))
xs = list(map(int, input().split(" ")))
xs = list(map(lambda x: X-x if X>x else x-X, xs))
def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a%b) 
r = reduce(gcd, xs)
print(r)
Buggy code:
#C - Skip
N, X = map(int, input().split())
x_list = list(map(int, input().split()))

residual = [abs(x - X) for x in x_list]

def gcd(a,b):
    if(b==0):
        return a
    else:
        gcd(b, a%b)
        
max_ = 0
for i in range(len(residual)):
    if(i == 0):
        max_ = gcd(residual[i], residual[i+1])
    elif(i == N-1):
        print(max_)
    else:
        max_ = gcd(residual[i], max_)

Fixed code:
#C - Skip
import sys

N, X = map(int, input().split())
x_list = list(map(int, input().split()))

residual = [abs(x - X) for x in x_list]

def gcd(a,b):
    if(b==0):
        return a
    else:
        return gcd(b, a%b)
        
max_ = 0
for i in range(len(residual)):
    if(N==1):
        print(residual[0])
        break
    
    if(i == 0):
        max_ = gcd(residual[i], residual[i+1])
    elif(i == N-1):
        print(max_)
    else:
        max_ = gcd(residual[i], max_)
Buggy code:
N, X = [int(nx) for nx in input().split()]
x = [abs(int(xx) - X) for xx in input().split()]

while len(x) > 1:
  x2 = []
  mn_x = min(x)
  for n in range(N):
    mod = x[n] % mn_x
    if mod != 0:
      x2.append(mod)
  x2.append(mn_x)
  x = x2
print(x)

Fixed code:
N, X = [int(nx) for nx in input().split()]
x = [abs(int(xx) - X) for xx in input().split()]

while len(x) > 1:
  x2 = []
  mn_x = min(x)
  for n in range(len(x)):
    mod = x[n] % mn_x
    if mod != 0:
      x2.append(mod)
  x2.append(mn_x)
  x = x2
  
ans = x[0]
print(ans)
Buggy code:
import math
n, x = [int(w) for w in input().split()]
la = [int(w)-x for w in input().split()]
la.sort()
if la[0] < 0:
    m = la[0]
    la = [w+m for w in la]

diff = [0]*(n-1)
for i in range(n-1):
    diff[i] = la[i+1]-la[i-1]

g = diff[0]
for i in diff[1:]:
    g = math.gcd(g, i)

print(g)


Fixed code:
import math
n, x = [int(w) for w in input().split()]
la = [int(w) for w in input().split()]+[x]
la.sort()
if la[0] < 0:
    m = la[0]
    la = [w+m for w in la]

diff = [0]*n
for i in range(n):
    diff[i] = la[i+1]-la[i]
g = diff[0]
for i in diff[1:]:
    g = math.gcd(g, i)

print(g)
Buggy code:
def gcd(a,b):
    while b!=0:
        a,b = b,b%a
    return a
def lcm(a,b):
    return (a*b)//gcd(a,b)

N,X = map(int,input().split())
x = list(map(int,input().split()))
x = list(map(lambda q:abs(q-X),x))

for xx in x:
    ans = lcm(x[0],xx)
print(ans)

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

N,X = map(int,input().split())
x = list(map(int,input().split()))
x = list(map(lambda q:abs(q-X),x))
ans = x[0]
for xx in x:
    ans = gcd(ans,xx)
print(ans)
Buggy code:
N, X = map(int, input().split())
x = list(map(int, input().split()))
x = list(map(lambda x: abs(X - int(x)), x))
def gcd(x, y):
    if y == 0:
        return x
    else:
        return gcd(y, x % y)

D = gcd(x[0], x[1])
for i in range(2, N):
    D = gcd(D, x[2])

print(D)


Fixed code:
N, X = map(int, input().split())
x = list(map(int, input().split()))
x = list(map(lambda x: abs(X - int(x)), x))

def gcd(x, y):
    if y == 0:
        return x
    else:
        return gcd(y, x % y)
        
if len(x) < 2:
    print(x[0])
else:
    D = gcd(x[0], x[1])
    for i in range(2, N):
        D = gcd(D, x[i])

    print(D)
Buggy code:
n,x=map(int,input().split())
m=list(map(lambda x:int(x)-x,input().split()))
if 0 in m:
  m.remove(0)
ans=abs(m[0])
for i in m:
  i=abs(i)
  while 1:
    ans%=i
    ans,i=i,ans
    if i==0:
      break
print(ans)

Fixed code:
n,x=map(int,input().split())
m=list(map(lambda y:int(y)-x,input().split()))
if 0 in m:
  m.remove(0)
ans=abs(m[0])
for i in m:
  i=abs(i)
  while 1:
    ans%=i
    ans,i=i,ans
    if i==0:
      break
print(ans)
Buggy code:
def gcd(a, b):
    if a > b:
        a, b = b, a
    while b > 0:
        a, b = b, a % b
    return a


def allgcd(d):
    if len(d) == 1:
        return d
    ret_gcd = d[0]
    for i in d:
        ret_gcd = gcd(ret_gcd, i)
    return ret_gcd


def maxNumVisitCity(N, X, x):
    if len(x) == 1:
        return abs(x[0] - X)

    d = []
    for i in x:
        d.append(abs(i - X))
    return allgcd(d)


def main():
    N, X = map(int, input().split())
    x = map(int, input().split())
    print(maxNumVisitCity(N, X, x))


if __name__ == '__main__':
    main()


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


def allgcd(d):
    if len(d) == 1:
        return d
    ret_gcd = d[0]
    for i in d:
        ret_gcd = gcd(ret_gcd, i)
    return ret_gcd


def maxNumVisitCity(N, X, x):
    if len(x) == 1:
        return abs(x[0] - X)

    d = []
    for i in x:
        d.append(abs(i - X))
    return allgcd(d)


def main():
    N, X = map(int, input().split())
    x = list(map(int, input().split()))
    print(maxNumVisitCity(N, X, x))


if __name__ == '__main__':
    main()
Buggy code:
def g(a,b):x=max([a,b]);y=min([a,b]);return g(y,x%y) if x%y else y
N,X=map(int,input().split());a=[abs(int(i)-X) for i in input().split()];ans=a[0]
for i in range(1,N):ans=g(ans,y[i])
print(ans)

Fixed code:
def g(a,b):x=max([a,b]);y=min([a,b]);return g(y,x%y) if x%y else y
N,X=map(int,input().split());p=[abs(int(i)-X) for i in input().split()];ans=p[0]
for i in range(1,N):ans=g(ans,p[i])
print(ans)
Buggy code:
import functools
def euclid(a, b):
    if b == 0:
        return a
    else:
        return euclid(b, a%b)

def gcd(nums):
    return functools.reduce(euclid, nums)



n,k=[int(i) for i in input().split()]
a=[int(i) for i in input().split()]

a.sort()

sa=[]

for i in range(1,n):
    sa.append(a[i]-a[i-1])



print(gcd(sa))



Fixed code:
import functools
def euclid(a, b):
    if b == 0:
        return a
    else:
        return euclid(b, a%b)

def gcd(nums):
    if len(nums)==1:
        return nums[0]
    return functools.reduce(euclid, nums)



n,k=[int(i) for i in input().split()]
a=[int(i) for i in input().split()]
a.append(k)
a.sort()

sa=[]

for i in range(1,n+1):
    sa.append(a[i]-a[i-1])



print(gcd(sa))
Buggy code:
import functools as ft

N,X = map(int, input().split(" "))
Xi = [int(a) for a in input().split()]


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

def gcd_list(numbers):
    return ft.reduce(gcd,numbers)

def minusX(a):
    return abs(a-X)


Xi = map(minusX,Xi)

def main():
    output = minusX(gcd_list(Xi))
    print(output)

if __name__ == "__main__":
    main()


Fixed code:
import functools as ft

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

def gcd_list(numbers):
    return ft.reduce(gcd,numbers)

N, X = map(int, input().split(" "))
Xi = [int(a) for a in input().split()]

def MinusX(Xi_):
    return abs(Xi_-X)

def main(Xi):
    Xi = map(MinusX,Xi)
    output = gcd_list(Xi)
    print(output)

if __name__ == "__main__":
    main(Xi)
Buggy code:
N, X = map(int, input().split())
xs = map(int, input().split())
xs.append(X)
xs.sort()
xs = [_ - xs[0] for _ in xs]
diffs = [xs[i]-xs[i-1] for i in range(1, len(xs))]
def gcd(a, b):
  if(a>b): return gcd(b, a)
  if a % b == 0:
    return b
  else:
    r = a % b
    return gcd(b, r)

prev = diffs[0]
for cur in diffs[1:]:
  prev = gcd(prev, cur)
print(prev)

Fixed code:
N, X = map(int, input().split())
xs = list(map(int, input().split()))
xs.append(X)
xs.sort()
xs = [_ - xs[0] for _ in xs]
diffs = [xs[i]-xs[i-1] for i in range(1, len(xs))]
def gcd(a, b):
    if(a<b): return gcd(b, a)
    if a % b == 0:
      return b
    else:
      r = a % b
      return gcd(b, r)

prev = diffs[0]
for cur in diffs[1:]:
    prev = gcd(prev, cur)
print(prev)
Buggy code:
from functools import reduce

def euclid(a, b):
    if a < b:
        a, b = (b, a)

    while True:
        r = a % b
        if r == 0:
            break
        a, b = (b, r)

    return b


if __name__ == '__main__':
    n, x = tuple(map(int, input().split()))
    points = [int(x) for x in input().split()]
    if not x in points:
        points.append(x)

    buf = [abs(points[i + 1] - points[i]) for i in range(len(points) - 1)]
    print(reduce(lambda a,b: euclid(a, b), bur))


Fixed code:
from functools import reduce

def euclid(a, b):
    if a < b:
        a, b = (b, a)

    while True:
        r = a % b
        if r == 0:
            break
        a, b = (b, r)

    return b


if __name__ == '__main__':
    n, x = tuple(map(int, input().split()))
    points = [int(x) for x in input().split()]
    if not x in points:
        points.append(x)

    buf = [abs(points[i + 1] - points[i]) for i in range(len(points) - 1)]
    print(reduce(lambda a,b: euclid(a, b), buf))
Buggy code:
def gcd(x, y):
    r = modlog(x, y)
    while r != 0:
        x = y
        y = r
        r = modlog(x, y)
    return y

def modlog(x, y):
    r = x % y
    return r

if __name__ == '__main__' :
    N,X = map(int, input().split())
    x = list(map(int, input().split()))

    dist_list = [abs(d-X) for d in x]

    alpha = gcd(dist_list[0],dist_list[1])
    for d in dist_list:
        alpha = gcd(alpha,d)

    print(alpha)

Fixed code:
def gcd(x, y):
    r = modlog(x, y)
    while r != 0:
        x = y
        y = r
        r = modlog(x, y)
    return y

def modlog(x, y):
    r = x % y
    return r

if __name__ == '__main__' :
    N,X = map(int, input().split())
    x = list(map(int, input().split()))

    dist_list = [abs(d-X) for d in x]

    if len(dist_list) == 1:
        print (dist_list[0])
        exit()
        
    alpha = gcd(dist_list[0],dist_list[1])
    for d in dist_list:
        alpha = gcd(alpha,d)

    print(alpha)
Buggy code:
N, X = map(int, input().split())
x = list(map(int, input().split()))

xdef = [abs(x[i]-X) for i in range(N)]
def gcd(m,n):
  x = max(m,n)
  y = min(m,n)
  if x%y == 0:
    return y
  else:
    while x%y != 0:
      z = x%y
      x = y
      y = z
    else:
      return z
    
tmp = gcd(xdef[0], xdef[1])
for i in range(2,N):
  gcd = gcd(tmp,xdef[i])
print(gcd)

Fixed code:
N, X = map(int, input().split())
x = list(map(int, input().split()))

xdef = [abs(x[i]-X) for i in range(N)]
def gcd(m,n):
  x = max(m,n)
  y = min(m,n)
  if x%y == 0:
    return y
  else:
    while x%y != 0:
      z = x%y
      x = y
      y = z
    else:
      return z

if N == 1:
  print(xdef[0])
else:
  tmp = gcd(xdef[0], xdef[1])
  for i in range(1,N):
    tmp = gcd(tmp,xdef[i])
  print(tmp)
Buggy code:
def A(a,b):
    if a<b:
        tmp = a
        a = b
        b = tmp
    r = a % b
    while r!=0:
      a = b
      b = r
      r = a % b
    return b
n,X=map(int,input().split())
x=list(map(int,input().split()))
x.append(X)
x.sort()
x2=[]
for i in range(1,n+1):
    x2.append(x[i]-x[i-1])
print(x2)
if len(x2)==1:
    p=x2[0]
else:
    for i in range(n):
        if i==0:
            p=A(x2[i-1],x2[i])
        elif i!=1:
            p=A(p,x2[i])
print(p)



Fixed code:
def A(a,b):
    if a<b:
        tmp = a
        a = b
        b = tmp
    r = a % b
    while r!=0:
      a = b
      b = r
      r = a % b
    return b
n,X=map(int,input().split())
x=list(map(int,input().split()))
x.append(X)
x.sort()
x2=[]
for i in range(1,n+1):
    x2.append(x[i]-x[i-1])
if len(x2)==1:
    p=x2[0]
else:
    for i in range(n):
        if i==0:
            p=A(x2[i-1],x2[i])
        elif i!=1:
            p=A(p,x2[i])
print(p)
Buggy code:
from functools import reduce

N, X = map(int, input().split())
x_list = list(map(int, input().split()))

if X not in x_list:
    x_list.append(X).sort()
    N += 1    

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

if N >= 3:
    space = [abs(x_list[i + 1] - x_list[i]) for i in range(N - 1)]
    print(reduce(gcd, space))
elif N == 2:
    space = x_list[1] - x_list[0]
    print(space)
elif N == 1:
    space = x_list[0]
    print(space)






Fixed code:
from functools import reduce

N, X = map(int, input().split())
x_list = list(map(int, input().split()))

if X not in x_list:
    x_list.append(X)
    x_list.sort()
    N += 1    

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

if N >= 3:
    space = [abs(x_list[i + 1] - x_list[i]) for i in range(N - 1)]
    print(reduce(gcd, space))
elif N == 2:
    space = x_list[1] - x_list[0]
    print(space)
elif N == 1:
    space = x_list[0]
    print(space)
Buggy code:
n,X = map(int,input().split())
x =list(map(int,input().split()))
x.append(X)
x.sort()
a = []
for i in range(n):
  a.append(x[i+1]-x[i])
  
g = []
h = min(a)
for i in range(1,h+1):
  if h%i == 0:
    g.append(i)
    
gcd = []
for i in g:
  if all(a[j]%i == 0 for j in range(n)):
    gcd.append(g)
    
print(max(gcd))
    
  
  




Fixed code:
n,X = map(int,input().split())
x =list(map(int,input().split()))
x.append(X)
x.sort()
a = []
for i in range(n):
  a.append(x[i+1]-x[i])
  
h = min(a)
gcd = 1
for i in range(h,0,-1):
  if h%i == 0:
    if all(a[j]%i == 0 for j in range(n)):
      gcd = i
      break
      
print(gcd)
Buggy code:
def gcd(a, b):
    return gcd(b, a % b)


inputs = input().strip().split()

N  = int(inputs[0])
X  = int(inputs[1])

xi = list(map(lambda x: abs(X - int(x)), input().strip().split()))

if N == 1:
    print(xi[0])
else:
    a = xi[0]
    b = xi[1]

    nx = gcd(a, b)

    for i in range(2, len(xi)):
        nx = gcd(nx, xi[i])     

    print(nx)

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


inputs = input().strip().split()

N  = int(inputs[0])
X  = int(inputs[1])

xi = list(map(lambda x: abs(X - int(x)), input().strip().split()))

if N == 1:
    print(xi[0])
else:
    a = xi[0]
    b = xi[1]

    nx = gcd(a, b)

    for i in range(2, len(xi)):
        nx = gcd(nx, xi[i])     

    print(nx)
Buggy code:
N,X=map(int,input().strip().split())
x=list(map(int,input().strip().split()))

x.sort()

d=[]
for n in range(1,N):
    d.append(x[n]-x[n-1])

def gcd(a,b):
    x=max(a,b)
    y=min(a,b)
    tmp=x%y
    if tmp==0:
        return y
    else:
        gcd(y,tmp)

if len(d)==0:
    print(abs(x[0]-X))
else:
    D=d[0]
    for i in range(1,len(d)):
        D=gcd(D,d[i])
    print(D)

Fixed code:
N,X=map(int,input().strip().split())
x=list(map(int,input().strip().split()))
x.append(X)
x.sort()
    
d=[]
for n in range(1,N+1):
    d.append(x[n]-x[n-1])
    
def gcd(a,b):
    x=max(a,b)
    y=min(a,b)
    tmp=x%y
    if tmp==0:
        return y
    else:
        return gcd(y,tmp)
    
if len(d)<=1:
    print(d[0])
else:
    D=d[0]
    for i in range(1,len(d)):
        D=gcd(D,d[i])
    print(D)
Buggy code:
N, X = map(int, input().split())
L = [int(i) for i in input().split()]

def gcd(x, y):
    while(y > 0):
        x, y = y, x%y
    return int(x)

l = X - L[0]
L.sort()
if N > 1:
    D = [L[i] - L[i-1] for i in range(1, N)]
    for i in range(N-1):
        l = gcd(l, D[i])

print(l)


Fixed code:
N, X = map(int, input().split())
L = [int(i) for i in input().split()]

def gcd(x, y):
    while(y > 0):
        x, y = y, x%y
    return int(x)

l = abs(X - L[0])
L.sort()
if N > 1:
    D = [L[i] - L[i-1] for i in range(1, N)]
    for i in range(N-1):
        l = gcd(l, D[i])

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

N, X = map(int, input().split())
x = [int(_) for _ in input().split(' ')]

dist = [abs(i - X) for i in x]

ans = dist[0]

for i in range(N):
    ans = gcd(ans, dist[i])

print(ans)

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

N, X = map(int, input().split())
x = [int(_) for _ in input().split(' ')]

dist = [abs(i - X) for i in x]

ans = dist[0]

for i in range(N-1):
    ans = gcd(ans, dist[i+1])

print(ans)
Buggy code:
def gcd(a, b):
    while a > 0:
        if a < b:
            a, b = b, a
        a = a % b
    return b

n, x = map(int, input().split())
town = map(int, input().split())

distance = (abs(x-y) for y in town)
print(distance)
for d in distance:
    res = gcd(next(d), next(d))

print(res)


Fixed code:
def gcd(a, b):
    while a > 0:
        if a < b:
            a, b = b, a
        a = a % b
    return b

n, x = map(int, input().split())
town = map(int, input().split())

distance = (abs(x-y) for y in town)
res = next(distance)
for d in distance:
    res = gcd(res, d)

print(res)
Buggy code:
def gcd(a, b):
    while a > 0:
        a = a % b
        a, b = b, a
    return b

n, x = map(int, input().split())
town = list(map(int, input().split()))

res = abs(town[0] - x)
for t in town[1:]:
    d = abs(t - x)
    res = gcd(res, d)

print(res)

Fixed code:
def gcd(a, b):
    while a > 0:
        if a < b:
            a, b = b, a
        a = a % b
    return b

n, x = map(int, input().split())
town = list(map(int, input().split()))

res = abs(town[0] - x)
for t in town[1:]:
    d = abs(t - x)
    res = gcd(res, d)

print(res)
Buggy code:
N, X = map(int, input().split())
x = [abs(X - int(i)) for i in input().split()]

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

tmp = 0
for i in range(1, len(x)):
    tmp = f(x[i-1], x[i])

print(tmp)


Fixed code:
N, X = map(int, input().split())
x = [abs(X - int(i)) for i in input().split()]

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

tmp = 1
for i in range(len(x)-1):
    x[i+1] = f(x[i], x[i+1])

print(x[len(x)-1])
Buggy code:
N, X = map(int, input().split())
x = list(map(int, input().split()))
x_gcd = []
for i in range(N):
    x_gcd.append(abs(X-x[i]))


def gcd(a, b):
    while b != 0:
        a, b = b, a%b
    return a
ans = [0]*(N-1)

for i in range(N-1):
    ans[i] = gcd(x_gcd[i], x_gcd[i+1])
if ans:
    print(max(ans))
else:
    print(x[0] - X)

Fixed code:
N, X = map(int, input().split())
x = list(map(int, input().split()))
x_gcd = []
for i in range(N):
    x_gcd.append(abs(X-x[i]))


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


ans = x_gcd[0]
for i in range(N):
    ans = gcd(ans, x_gcd[i])
if ans:
    print(ans)
else:
    print(x[0] - X)
Buggy code:
n,x=map(int,input().split())
l=list(map(int,input().split()))

for i in range(n):
  l[i]=abs(l[i]-x)
print(l)

def gcd(x,y):
    if y==0:
      return x
    else:
      return gcd(y,x%y) 
    
if n==1:
  x=l[0]
else:
  x=gcd(l[0],l[1])
  if n>2:
    for i in range(2,n):
      x=gcd(x,l[i])
print(x)

Fixed code:
n,x=map(int,input().split())
l=list(map(int,input().split()))

for i in range(n):
  l[i]=abs(l[i]-x)

def gcd(x,y):
    if y==0:
      return x
    else:
      return gcd(y,x%y) 
    
if n==1:
  x=l[0]
else:
  x=gcd(l[0],l[1])
  if n>2:
    for i in range(2,n):
      x=gcd(x,l[i])
print(x)