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


n = int(input())
A = list(map(int, input().split()))

A.sort()

frac = []

for k in range(A[-1]+1):
    if k == 0:
        frac.append(1)
    else:
        frac.append(frac[-1] * (k+1))

R = 0
M = []

if len(A) == 2:
    print(A[1], A[0])
else:
    for i in range(n):
        a = A[n-1-i]
        k = a / 2
        B = []
        C = []
        frac_a = frac[a]
        if R > frac_a // (frac[a-math.ceil(a/2)] ** 2):
            break
        for j in range(n):
            if A[j] < k:
                B.append(A[j])
            else:
                C.append(A[j])
                break
        b = B[-1]
        c = C[0]
        r_b = frac_a // (frac[a-b] * frac[b])
        r_c = frac_a // (frac[a-c] * frac[c])
        if r_b >= r_c and r_b > R:
            M = [a, b]
            R = r_b
        elif r_c >= r_b and r_c > R:
            M = [a, c]
            R = r_c

    print(M[0], M[1])


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

A.sort()

if len(A) == 2:
    print(A[1], A[0])
else:
    a = A[-1]
    k = a / 2
    B = [a for a in A if a <  k]
    C = [a for a in A if a >= k]

    if k - B[-1] > C[0] - k:
        print(a, C[0])
    else:
        print(a, B[-1])

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


n = int(input())
A = list(map(int, input().split()))

A.sort()

R = 0
M = []

if len(A) == 2:
    print(A[1], A[0])
else:
    for i in range(n):
        a = A[n-1-i]
        k = a / 2
        B = []
        C = []
        frac_a = math.factorial(a)
        if R > frac_a // (math.factorial(a-math.ceil(a/2)) ** 2):
            break
        for j in range(n):
            if A[j] < k:
                B.append(A[j])
            else:
                C.append(A[j])
                break
        b = B[-1]
        c = C[0]
        r_b = frac_a // (math.factorial(a-b) * math.factorial(b))
        r_c = frac_a // (math.factorial(a-c) * math.factorial(c))
        if r_b >= r_c and r_b > R:
            M = [a, b]
            R = r_b
        elif r_c >= r_b and r_c > R:
            M = [a, c]
            R = r_c

    print(M[0], M[1])


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

A.sort()

if len(A) == 2:
    print(A[1], A[0])
else:
    a = A[-1]
    k = a / 2
    B = [a for a in A if a <  k]
    C = [a for a in A if a >= k]

    if k - B[-1] > C[0] - k:
        print(a, C[0])
    else:
        print(a, B[-1])

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


n = int(input())
A = list(map(int, input().split()))

A.sort()

R = 0
M = []

if len(A) == 2:
    print(A[1], A[0])
else:
    for i in range(n):
        a = A[n-1-i]
        k = a / 2
        B = []
        C = []
        if R > math.factorial(a) // (math.factorial(a-math.ceil(a/2)) ** 2):
            break
        for j in range(n):
            if A[j] < k:
                B.append(A[j])
            else:
                C.append(A[j])
                break
        b = B[-1]
        c = C[0]
        r_b = math.factorial(a) // (math.factorial(a-b) * math.factorial(b))
        r_c = math.factorial(a) // (math.factorial(a-c) * math.factorial(c))
        if r_b >= r_c and r_b > R:
            M = [a, b]
            R = r_b
        elif r_c >= r_b and r_c > R:
            M = [a, c]
            R = r_c

    print(M[0], M[1])


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

A.sort()

if len(A) == 2:
    print(A[1], A[0])
else:
    a = A[-1]
    k = a / 2
    B = [a for a in A if a <  k]
    C = [a for a in A if a >= k]

    if k - B[-1] > C[0] - k:
        print(a, C[0])
    else:
        print(a, B[-1])