Buggy python submission (verdict: Time Limit Exceeded):
from scipy.special import comb

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

# N=2の時は組み合わせは1つしかない
if N == 2:
    print(A[0], A[1])
    exit(0)


A.sort()
n = A[-1]
mid = n//2
idx = 0
ans_abs = 10**9
for i in range(N-1):
    if ans_abs > abs(mid-A[i]):
        ans_abs = abs(mid-A[i])
        idx = i

cmb = comb(n, A[idx], exact=True)
cmb_h = comb(n, A[idx+1], exact=True)
cmb_l = 0
if idx > 0:
    cmb_l = comb(n, A[idx-1], exact=True)

max_cmb = max(cmb, cmb_l, cmb_h)
if cmb == max_cmb:
    print(n, A[idx])
elif cmb_l == max_cmb:
    print(n, A[idx-1])
else:
    print(n, A[idx+1])


Fixed submission:
import bisect

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

A.sort()
n = A[-1]
mid = bisect.bisect(A, n/2)

if abs(n/2-A[mid-1]) > abs(n/2-A[mid]):
    print(n, A[mid])
else:
    print(n, A[mid-1])

Buggy python submission (verdict: Time Limit Exceeded):
from scipy.special import comb
import bisect

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

# N=2の時は組み合わせは1つしかない
if N == 2:
    print(A[0], A[1])
    exit(0)


A.sort()
n = A[-1]

# 二分探査で最大値を求める
r = 0
mid_idx = N//2
while True:
    mid_comb = comb(n, A[mid_idx], exact=True)
    mid_h_comb = comb(n, A[mid_idx+1], exact=True)
    mid_l_comb = comb(n, A[mid_idx-1], exact=True)

    # 初期値の真ん中が答えだった場合
    if mid_comb == max(mid_comb, mid_h_comb, mid_l_comb):
        r = A[mid_idx]
        break

    # 次の中央値を求める
    if mid_comb < mid_h_comb:
        mid_idx = (mid_idx+N)//2
    else:
        mid_idx = mid_idx//2

print(n, r)


Fixed submission:
import bisect

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

A.sort()
n = A[-1]
mid = bisect.bisect(A, n/2)

if abs(n/2-A[mid-1]) > abs(n/2-A[mid]):
    print(n, A[mid])
else:
    print(n, A[mid-1])

Buggy python submission (verdict: Time Limit Exceeded):
from scipy.special import comb


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

A.sort()
n = A[-1]

before_cmb = -1
max_cmb = -1
r = 0
for i in range(N):
    tmp_cmb = comb(n, A[i], exact=True)
    if max_cmb < tmp_cmb:
        max_cmb = tmp_cmb
        r = A[i]

    if before_cmb == -1:
        before_cmb = tmp_cmb
    elif before_cmb >= tmp_cmb:
        break

    before_cmb = tmp_cmb
print(n, r)


Fixed submission:
import bisect

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

A.sort()
n = A[-1]
mid = bisect.bisect(A, n/2)

if abs(n/2-A[mid-1]) > abs(n/2-A[mid]):
    print(n, A[mid])
else:
    print(n, A[mid-1])

Buggy python submission (verdict: Time Limit Exceeded):
from operator import mul
from functools import reduce


def cmb(n, r):
    r = min(n-r, r)
    if r == 0:
        return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1, r + 1))
    return over // under


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

A.sort()
n = A[-1]

before_cmb = -1
max_cmb = -1
r = 0
for i in range(N):
    tmp_cmb = cmb(n, A[i])
    if max_cmb < tmp_cmb:
        max_cmb = tmp_cmb
        r = A[i]

    if before_cmb == -1:
        before_cmb = tmp_cmb
    elif before_cmb >= tmp_cmb:
        break

    before_cmb = tmp_cmb
print(n, r)


Fixed submission:
import bisect

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

A.sort()
n = A[-1]
mid = bisect.bisect(A, n/2)

if abs(n/2-A[mid-1]) > abs(n/2-A[mid]):
    print(n, A[mid])
else:
    print(n, A[mid-1])