Buggy python submission (verdict: Time Limit Exceeded):
import copy
N, K = map(int,input().split())
a = list(map(int,input().split()))
S = [0]*N
S[0] = a[0]
for k in range(1,N):
    S[k] = S[k-1] + a[k]
S = [0] + S
T = []
for k in range(N):
    for l in range(k+1,N+1):
        T.append(S[l]-S[k])
ans = 0
for d in range(41,-1,-1):
    c = 0
    for e in T:
        if (ans+2**d)&e == ans+2**d:
            c += 1
    if c >= K:
        ans += 2**d
print(ans)


Fixed submission:
N, K = map(int,input().split())
a = list(map(int,input().split()))
S = [0]*N
S[0] = a[0]
for k in range(1,N):
    S[k] = S[k-1] + a[k]
S = [0] + S
T = []
for k in range(N):
    for l in range(k+1,N+1):
        T.append(S[l]-S[k])
ans = 0
for d in range(41,-1,-1):
    c = 0
    for e in T:
        if (ans+2**d)&e == ans+2**d:
            c += 1
    if c >= K:
        ans += 2**d
print(ans)

Buggy python submission (verdict: Runtime Error):
import copy
N, K = map(int,input().split())
a = list(map(int,input().split()))
# まず累積和で美しさを全列挙
S = [0]*N
S[0] = a[0]
for k in range(1,N):
    S[k] = S[k-1] + a[k]
S = [0] + S
T = []
for k in range(N):
    for l in range(k+1,N+1):
        T.append(S[l]-S[k])
U = []
C = [0]*32
for e in T:
    t = []
    for d in range(32,-1,-1):
        if e >= 2**d:
            t.append(1)
            C[d] += 1
            e -= 2**d
        else:
            t.append(0)
    U.append(t[::-1])
d = -1
for k in range(31,-1,-1):
    if C[k] >= K:
        d = k
        break
if d == -1:
    print(0)
    exit(0)
ans = 2**d
V = []
for e in U:
    if e[d] == 1:
        V.append(e[:d+1][::-1])

W = copy.deepcopy(V)
for k in range(1,d+1):
    n = []
    for e in W:
        if e[k] == 1:
            n.append(e)
    if len(n) >= K:
        ans += 2**(d-k)
        W = copy.deepcopy(n)
    else:
        break

print(ans)


Fixed submission:
N, K = map(int,input().split())
a = list(map(int,input().split()))
S = [0]*N
S[0] = a[0]
for k in range(1,N):
    S[k] = S[k-1] + a[k]
S = [0] + S
T = []
for k in range(N):
    for l in range(k+1,N+1):
        T.append(S[l]-S[k])
ans = 0
for d in range(41,-1,-1):
    c = 0
    for e in T:
        if (ans+2**d)&e == ans+2**d:
            c += 1
    if c >= K:
        ans += 2**d
print(ans)

Buggy python submission (verdict: Runtime Error):
import copy
N, K = map(int,input().split())
a = list(map(int,input().split()))
# まず累積和で美しさを全列挙
S = [0]*N
S[0] = a[0]
for k in range(1,N):
    S[k] = S[k-1] + a[k]
S = [0] + S
T = []
for k in range(N):
    for l in range(k+1,N+1):
        T.append(S[l]-S[k])
U = []
C = [0]*32
for e in T:
    t = []
    for d in range(32,-1,-1):
        if e >= 2**d:
            t.append(1)
            C[d] += 1
            e -= 2**d
        else:
            t.append(0)
    U.append(t[::-1])
d = -1
for k in range(31,-1,-1):
    if C[k] >= K:
        d = k
        break
if d == -1:
    print(0)
    exit(0)
ans = 2**d
V = []
for e in U:
    if e[d] == 1:
        V.append(e[:d+1][::-1])

W = copy.deepcopy(V)
for k in range(1,d+1):
    n = []
    for e in W:
        if e[k] == 1:
            n.append(e)
    if len(n) >= K:
        ans += 2**(d-k)
        W = copy.deepcopy(n)
    else:
        break

print(ans)


Fixed submission:
N, K = map(int,input().split())
a = list(map(int,input().split()))
S = [0]*N
S[0] = a[0]
for k in range(1,N):
    S[k] = S[k-1] + a[k]
S = [0] + S
T = []
for k in range(N):
    for l in range(k+1,N+1):
        T.append(S[l]-S[k])
ans = 0
for d in range(41,-1,-1):
    c = 0
    for e in T:
        if (ans+2**d)&e == ans+2**d:
            c += 1
    if c >= K:
        ans += 2**d
print(ans)