Buggy python submission (verdict: Runtime Error):
from functools import reduce
from math import gcd
N, X = map(int, input().split())
loc = list(map(int, input().split()))

print(reduce(gcd, [abs(l-X) for l in loc]))

Fixed submission:
from functools import reduce
N, X = map(int, input().split())
loc = list(map(int, input().split()))


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


print(reduce(gcd, [abs(l-X) for l in loc]))

Buggy python submission (verdict: Time Limit Exceeded):
from functools import reduce
from collections import Counter

N, X = map(int, input().split())
loc = list(map(int, input().split()))
mem = {}

def prime_factors(n):
    if mem.get(n) is not None:
        return mem[n]
    else:
        i = 2
        factors = []
        while i*i <= n:
            if n % i == 0:
                factors.append(i)
                n = n // i
            else:
                i += 1
        if n > 1:
            factors.append(n)
        mem[n] = factors
    return factors


def find_shared_factors(factor1, factor2):
    counters = [Counter(factor1), Counter(factor2)]
    if len(factor1) > 0 and len(factor2) > 0:
        return list(reduce(lambda x, y: x & y, counters).elements())
    elif len(factor2) == 0:
        return factor1
    else:
        return factor2

factors = []
for l in loc:
    factors = find_shared_factors(prime_factors(abs(l-X)), factors)
for i in range(N):
    for j in range(N):
        if i < j:
            factors = find_shared_factors(prime_factors(abs(loc[i]-loc[j])), factors)

r = reduce(lambda x,y: x*y, factors) if len(factors) > 0 else abs(max(loc)-X)

print(r)

Fixed submission:
from functools import reduce
N, X = map(int, input().split())
loc = list(map(int, input().split()))


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


print(reduce(gcd, [abs(l-X) for l in loc]))

Buggy python submission (verdict: Runtime Error):
from functools import reduce
from collections import Counter

N, X = map(int, input().split())
loc = list(map(int, input().split()))
mem = {}

def prime_factors(n):
    if mem.get(n) is not None:
        return mem[n]
    else:
        i = 2
        factors = []
        while i*i <= n:
            if n % i == 0:
                factors.append(i)
                n = n // i
            else:
                i += 1
        if n > 1:
            factors.append(n)
        mem[n] = factors
    return factors


def find_shared_factors(factor1, factor2):
    counters = [Counter(factor1), Counter(factor2)]
    if len(factor2) == 0:
        return factor1
    elif len(factor1) == 0:
        return factor2
    else:
        return list(reduce(lambda x,y: x&y, counters).elements())

factors = []
for l in loc:
    factors = find_shared_factors(prime_factors(abs(l-X)), factors)
for i in range(N):
    for j in range(N):
        if i < j:
            factors = find_shared_factors(prime_factors(abs(loc[i]-loc[j])), factors)

r = reduce(lambda x,y: x*y, factors)

print(r)

Fixed submission:
from functools import reduce
N, X = map(int, input().split())
loc = list(map(int, input().split()))


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


print(reduce(gcd, [abs(l-X) for l in loc]))

Buggy python submission (verdict: Runtime Error):
from functools import reduce
from collections import Counter

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

def prime_factors(n):
    i = 2
    factors = []
    while i*i <= n:
        if n % i == 0:
            factors.append(i)
            n = n // i
        else:
            i += 1
    if n > 1:
        factors.append(n)
    return factors

def find_shared_factors(factors):
    counters = [Counter(factor) for factor in factors]
    shared = []
    keys = reduce(lambda x,y: x|y, [set(c.keys()) for c in counters])
    for key in keys:
        r = [counter[key] for counter in counters]
        if min(r) > 0:
            for _ in range(min(r)):
                shared.append(key)
    return shared

d1 = find_shared_factors([prime_factors(abs(l-X)) for l in loc])
d2 = find_shared_factors([prime_factors(abs(loc[i] - loc[j])) for i in range(N) for j in range(N) if i <= j])
d3 = find_shared_factors([d1, d2])
r = reduce(lambda x,y: x*y, d3) if len(d3) > 0 else reduce(lambda x,y: x*y, d1)
print(r)

Fixed submission:
from functools import reduce
N, X = map(int, input().split())
loc = list(map(int, input().split()))


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


print(reduce(gcd, [abs(l-X) for l in loc]))