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

N, K = map(int, input().split())
a = list(map(int, input().split()))
beautiful_num = []

for i in range(N):
    temp = 0
    for n in a[i:]:
        temp += n
        beautiful_num.append("{:040b}".format(temp))

ma_b_cnt = 0
target_set = None

for i in range(40):
    if target_set is None:
        for b in beautiful_num:
            if b[i] == "1":
                ma_b_cnt += 1
        if ma_b_cnt < K:
            ma_b_cnt = 0
        else:
            target_set = set([b for b in beautiful_num if b[i] == "1"])
    else:
        count = 0
        for b in target_set:
            if b[i] == 0:
                count += 1
        if len(target_set) - count >= K:
            for b in target_set:
                if b[i] == 0:
                    target_set.remove(b)
        else:
            break

result = 0
for comb in itertools.combinations(target_set, K):
    temp = bin(int(comb[0], 2))
    for b in comb:
        temp = bin(int(b, 2) & int(temp, 2))
    temp = int(temp, 2)
    if temp > result:
        result = temp

print(result)

Fixed submission:
import itertools

N, K = map(int, input().split())
a = list(map(int, input().split()))
beautiful_num = []

for i in range(N):
    temp = 0
    for n in a[i:]:
        temp += n
        beautiful_num.append("{:040b}".format(temp))

ma_b_cnt = 0
target_set = None

result = 0
for i in range(40):
        for b in beautiful_num:
            if b[i] == "1":
                ma_b_cnt += 1
        if ma_b_cnt >= K:
            result += 2**(40-i-1)
            beautiful_num = [b for b in beautiful_num if b[i] == "1"]
        ma_b_cnt = 0

print(result)

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

N, K = map(int, input().split())
a = list(map(int, input().split()))
beautiful_num = []
bit_mask = []

for i in range(N):
    for j in range(N):
        if i <= j:
            temp = [0] * N
            for k in range(i, j+1):
                temp[k] = 1
            bit_mask.append(temp)

for bit in bit_mask:
    temp = 0
    for b, num in zip(bit, a):
        if b == 1:
            temp += num
    beautiful_num.append("{:040b}".format(temp))

ma_b_cnt = 0
target_set = None

for i in range(40):
    if target_set is None:
        for b in beautiful_num:
            if b[i] == "1":
                ma_b_cnt += 1
        if ma_b_cnt < K:
            ma_b_cnt = 0
        else:
            target_set = set([b for b in beautiful_num if b[i] == "1"])
    else:
        count = 0
        for b in target_set:
            if b[i] == 0:
                count += 1
        if len(target_set) - count >= K:
            for b in target_set:
                if b[i] == 0:
                    target_set.remove(b)
        else:
            break

result = 0
for comb in itertools.combinations(target_set, K):
    temp = bin(int(comb[0], 2))
    for b in comb:
        temp = bin(int(b, 2) & int(temp, 2))
    temp = int(temp, 2)
    if temp > result:
        result = temp

print(result)

Fixed submission:
import itertools

N, K = map(int, input().split())
a = list(map(int, input().split()))
beautiful_num = []

for i in range(N):
    temp = 0
    for n in a[i:]:
        temp += n
        beautiful_num.append("{:040b}".format(temp))

ma_b_cnt = 0
target_set = None

result = 0
for i in range(40):
        for b in beautiful_num:
            if b[i] == "1":
                ma_b_cnt += 1
        if ma_b_cnt >= K:
            result += 2**(40-i-1)
            beautiful_num = [b for b in beautiful_num if b[i] == "1"]
        ma_b_cnt = 0

print(result)