Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N, K = map(int, input().split())
A = list(map(int, input().split()))
sumlist = np.sort(np.array([sum(A[j:j+N-i]) for i in range(N) for j in range(i+1)]))[::-1]
ans = sumlist[0]
for i in range(40, -1, -1):
    tmp = (ans & (2 ** i)) // (2 ** i)
    if tmp:
        start = i
        break
f = lambda x: (x & onehot) // onehot
ans_list = [0]
ans = 0
for i in range(start, -1, -1):
    onehot = 2 ** i + ans
    tmp = list(map(f, sumlist))
    if sum(tmp) >= K:
        and_result = np.array(tmp).astype(np.bool)
        sumlist = sumlist[and_result]
        ans = onehot
print(ans)


Fixed submission:
from collections import Counter
N, K = map(int, input().split())
A = list(map(int, input().split()))
cusum = [A[0]]
for i in range(1, N):
    cusum += [cusum[-1]+A[i]]
B = []
for i in range(N):
    B += [cusum[i]]
    for j in range(i+1, N):
        B += [cusum[j] - cusum[i]]
max_bit = 43
ans = 0
while max_bit > 0:
    counter = Counter()
    for b in B:
        for i in range(44):
            if b & 1 == 1:
                counter[i] += 1
            b = b >> 1
    for i in range(max_bit, -1, -1):
        if counter[i] >= K:
            filter_bit = 2 ** i
            B = [b for b in B if b & filter_bit == filter_bit]
            max_bit = i-1
            ans += filter_bit
            break
        max_bit = i
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N, K = map(int, input().split())
A = list(map(int, input().split()))
sumlist = np.sort(np.array([sum(A[j:j+N-i]) for i in range(N) for j in range(i+1)]))[::-1]
ans = sumlist[0]
for i in range(40, -1, -1):
    tmp = (ans & (2 ** i)) // (2 ** i)
    if tmp:
        start = i
        break
f = lambda x: (x & onehot) // onehot
ans_list = [0]
ans = 0
for i in range(start, -1, -1):
    onehot = 2 ** i + ans
    tmp = list(map(f, sumlist))
    if sum(tmp) >= K:
        ans = onehot
print(ans)


Fixed submission:
from collections import Counter
N, K = map(int, input().split())
A = list(map(int, input().split()))
cusum = [A[0]]
for i in range(1, N):
    cusum += [cusum[-1]+A[i]]
B = []
for i in range(N):
    B += [cusum[i]]
    for j in range(i+1, N):
        B += [cusum[j] - cusum[i]]
max_bit = 43
ans = 0
while max_bit > 0:
    counter = Counter()
    for b in B:
        for i in range(44):
            if b & 1 == 1:
                counter[i] += 1
            b = b >> 1
    for i in range(max_bit, -1, -1):
        if counter[i] >= K:
            filter_bit = 2 ** i
            B = [b for b in B if b & filter_bit == filter_bit]
            max_bit = i-1
            ans += filter_bit
            break
        max_bit = i
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N, K = map(int, input().split())
A = list(map(int, input().split()))
sumlist = np.sort(np.array([sum(A[j:j+N-i]) for i in range(N) for j in range(i+1)]))[::-1]
ans = sumlist[0]
for i in range(40, -1, -1):
    tmp = (ans & (2 ** i)) // (2 ** i)
    if tmp:
        start = i
        break
f = lambda x: (x & onehot) // onehot
ans_list = [0]
for i in range(start, -1, -1):
    onehot = 2 ** i
    tmp = list(map(f, sumlist))
    if sum(tmp) >= K:
        and_result = np.array(tmp).astype(np.bool)
        sumlist = sumlist[and_result]
        ans = sumlist[0]
        for j in range(1, K):
            ans = ans & sumlist[j]
        ans_list.append(ans)
print(max(ans_list))


Fixed submission:
from collections import Counter
N, K = map(int, input().split())
A = list(map(int, input().split()))
cusum = [A[0]]
for i in range(1, N):
    cusum += [cusum[-1]+A[i]]
B = []
for i in range(N):
    B += [cusum[i]]
    for j in range(i+1, N):
        B += [cusum[j] - cusum[i]]
max_bit = 43
ans = 0
while max_bit > 0:
    counter = Counter()
    for b in B:
        for i in range(44):
            if b & 1 == 1:
                counter[i] += 1
            b = b >> 1
    for i in range(max_bit, -1, -1):
        if counter[i] >= K:
            filter_bit = 2 ** i
            B = [b for b in B if b & filter_bit == filter_bit]
            max_bit = i-1
            ans += filter_bit
            break
        max_bit = i
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N, K = map(int, input().split())
A = list(map(int, input().split()))
sumlist = [sum(A[j:j+N-i]) for i in range(N) for j in range(i+1)]
sumlist.sort(reverse=True)
sumlist = np.array(sumlist)
ans = sumlist[0]
for i in range(40, -1, -1):
    tmp = (ans & (2 ** i)) // (2 ** i)
    if tmp:
        start = i
        break
f = lambda x: (x & onehot) // onehot
ans_list = [0]
for i in range(start, -1, -1):
    onehot = 2 ** i
    tmp = list(map(f, sumlist))
    if sum(tmp) >= K:
        and_result = np.array(tmp).astype(np.bool)
        sumlist = sumlist[and_result]
        ans = sumlist[0]
        for j in range(1, K):
            ans = ans & sumlist[j]
        ans_list.append(ans)
print(max(ans_list))


Fixed submission:
from collections import Counter
N, K = map(int, input().split())
A = list(map(int, input().split()))
cusum = [A[0]]
for i in range(1, N):
    cusum += [cusum[-1]+A[i]]
B = []
for i in range(N):
    B += [cusum[i]]
    for j in range(i+1, N):
        B += [cusum[j] - cusum[i]]
max_bit = 43
ans = 0
while max_bit > 0:
    counter = Counter()
    for b in B:
        for i in range(44):
            if b & 1 == 1:
                counter[i] += 1
            b = b >> 1
    for i in range(max_bit, -1, -1):
        if counter[i] >= K:
            filter_bit = 2 ** i
            B = [b for b in B if b & filter_bit == filter_bit]
            max_bit = i-1
            ans += filter_bit
            break
        max_bit = i
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N, K = map(int, input().split())
A = list(map(int, input().split()))
sumlist = [sum(A[j:j+N-i]) for i in range(N) for j in range(i+1)]
sumlist.sort(reverse=True)
sumlist = np.array(sumlist)
ans = sumlist[0]
for i in range(40, -1, -1):
    tmp = (ans & (2 ** i)) // (2 ** i)
    if tmp:
        start = i
        break
f = lambda x: (x & onehot) // onehot
ans_list = [0]
for i in range(start, -1, -1):
    onehot = 2 ** i
    tmp = sum(map(f, sumlist))
    if tmp >= K:
        and_result = list(map(f, sumlist))
        and_result = np.array(and_result).astype(np.bool)
        sumlist = sumlist[and_result]
        ans = sumlist[0]
        for j in range(1, K):
            ans = ans & sumlist[j]
        ans_list.append(ans)
print(max(ans_list))


Fixed submission:
from collections import Counter
N, K = map(int, input().split())
A = list(map(int, input().split()))
cusum = [A[0]]
for i in range(1, N):
    cusum += [cusum[-1]+A[i]]
B = []
for i in range(N):
    B += [cusum[i]]
    for j in range(i+1, N):
        B += [cusum[j] - cusum[i]]
max_bit = 43
ans = 0
while max_bit > 0:
    counter = Counter()
    for b in B:
        for i in range(44):
            if b & 1 == 1:
                counter[i] += 1
            b = b >> 1
    for i in range(max_bit, -1, -1):
        if counter[i] >= K:
            filter_bit = 2 ** i
            B = [b for b in B if b & filter_bit == filter_bit]
            max_bit = i-1
            ans += filter_bit
            break
        max_bit = i
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N, K = map(int, input().split())
A = list(map(int, input().split()))
sumlist = []
for i in range(N):
    for j in range(i+1):
        sumlist.append(sum(A[j:j+N-i]))
sumlist.sort(reverse=True)
sumlist = np.array(sumlist)
ans = sumlist[0]
for i in range(40, -1, -1):
    tmp = (ans & (2 ** i)) // (2 ** i)
    if tmp:
        start = i
        break
f = lambda x: (x & onehot) // onehot
ans_list = [0]
for i in range(start, -1, -1):
    onehot = 2 ** i
    tmp = sum(map(f, sumlist))
    if tmp >= K:
        and_result = list(map(f, sumlist))
        and_result = np.array(and_result).astype(np.bool)
        sumlist = sumlist[and_result]
        ans = sumlist[0]
        for j in range(1, K):
            ans = ans & sumlist[j]
        ans_list.append(ans)
print(max(ans_list))


Fixed submission:
from collections import Counter
N, K = map(int, input().split())
A = list(map(int, input().split()))
cusum = [A[0]]
for i in range(1, N):
    cusum += [cusum[-1]+A[i]]
B = []
for i in range(N):
    B += [cusum[i]]
    for j in range(i+1, N):
        B += [cusum[j] - cusum[i]]
max_bit = 43
ans = 0
while max_bit > 0:
    counter = Counter()
    for b in B:
        for i in range(44):
            if b & 1 == 1:
                counter[i] += 1
            b = b >> 1
    for i in range(max_bit, -1, -1):
        if counter[i] >= K:
            filter_bit = 2 ** i
            B = [b for b in B if b & filter_bit == filter_bit]
            max_bit = i-1
            ans += filter_bit
            break
        max_bit = i
print(ans)