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

def input(): return sys.stdin.readline().strip()
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)]
def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)]
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
sys.setrecursionlimit(10 ** 9)
INF = 10 ** 19
MOD = 10 ** 9 + 7

def deepcopy(li): return [x[:] for x in li]

def gauss_jordan(A, extended=False):
    """ ガウス・ジョルダン法(連立方程式の解) """

    N, M = len(A), len(A[0])
    B = deepcopy(A)
    rank = 0
    res = []
    for col in range(M):
        if extended and col == M-1:
            break
        pivot = -1
        for row in range(rank, N):
            if B[row][col] != 0:
                pivot = row
                break
        if pivot == -1:
            continue
        B[rank], B[pivot] = B[pivot], B[rank]
        for row in range(N):
            if row != rank and B[row][col]:
                for i in range(M):
                    B[row][i] ^= B[rank][i]
        res.append(col)
        rank += 1
    for row in range(rank, N):
        if B[row][-1]:
            return (-1, [])
    return (rank, res)

for _ in range(INT()):
    N = INT()
    A = LIST()
    S = input()
    M = max(A).bit_length()

    mat = list2d(M, 1, 0)
    for i in range(N-1, -1, -1):
        if S[i] == '0':
            for k in range(M):
                mat[k].append(A[i]>>k & 1)
        else:
            cur = deepcopy(mat)
            for k in range(M):
                cur[k].append(A[i]>>k & 1)
            rank, res = gauss_jordan(cur, extended=True)
            if rank == -1:
                print(1)
                break
    else:
        print(0)


Fixed submission:
import sys

def input(): return sys.stdin.readline().strip()
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)]
def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)]
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
sys.setrecursionlimit(10 ** 9)
INF = 10 ** 19
MOD = 10 ** 9 + 7

def deepcopy(li): return [x[:] for x in li]

def gauss_jordan(A, extended=False):
    """ ガウス・ジョルダン法(連立方程式の解) """

    N, M = len(A), max(A).bit_length()
    B = A[:]
    rank = 0
    res = []
    for col in range(M):
        if extended and col == M-1:
            break
        pivot = -1
        for row in range(rank, N):
            if B[row]>>col & 1:
                pivot = row
                break
        if pivot == -1:
            continue
        B[rank], B[pivot] = B[pivot], B[rank]
        for row in range(N):
            if row != rank and B[row]>>col & 1:
                B[row] ^= B[rank]
        res.append(col)
        rank += 1
    for row in range(rank, N):
        if B[row]>>(M-1) & 1:
            return (-1, [])
    return (rank, res)

for _ in range(INT()):
    N = INT()
    A = LIST()
    S = input()
    M = max(A).bit_length()

    mat = [0] * M
    collen = 1
    for i in range(N-1, -1, -1):
        if S[i] == '0':
            for k in range(M):
                mat[k] |= (A[i]>>k & 1) << collen
            collen += 1
        else:
            cur = mat[:]
            for k in range(M):
                cur[k] |= (A[i]>>k & 1) << collen
            rank, res = gauss_jordan(cur, extended=True)
            if rank == -1:
                print(1)
                break
    else:
        print(0)

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

def input(): return sys.stdin.readline().strip()
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)]
def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)]
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
sys.setrecursionlimit(10 ** 9)
INF = 10 ** 19
MOD = 10 ** 9 + 7

for _ in range(INT()):
    N = INT()
    A = LIST()
    S = input()

    se0 = set([0])
    se1 = set([0])
    ans = 0
    for i in range(N-1, -1, -1):
        if S[i] == '0':
            nxt = set()
            for k in se0:
                nxt.add(k)
                nxt.add(k^A[i])
            se0 = nxt
        else:
            nxt = set()
            for k in se1:
                nxt.add(k)
                nxt.add(k^A[i])
            se1 = nxt
        for k in se1:
            if k not in se0:
                ans = 1
                break
        if ans:
            break
    print(ans)


Fixed submission:
import sys

def input(): return sys.stdin.readline().strip()
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)]
def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)]
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
sys.setrecursionlimit(10 ** 9)
INF = 10 ** 19
MOD = 10 ** 9 + 7

def deepcopy(li): return [x[:] for x in li]

def gauss_jordan(A, extended=False):
    """ ガウス・ジョルダン法(連立方程式の解) """

    N, M = len(A), max(A).bit_length()
    B = A[:]
    rank = 0
    res = []
    for col in range(M):
        if extended and col == M-1:
            break
        pivot = -1
        for row in range(rank, N):
            if B[row]>>col & 1:
                pivot = row
                break
        if pivot == -1:
            continue
        B[rank], B[pivot] = B[pivot], B[rank]
        for row in range(N):
            if row != rank and B[row]>>col & 1:
                B[row] ^= B[rank]
        res.append(col)
        rank += 1
    for row in range(rank, N):
        if B[row]>>(M-1) & 1:
            return (-1, [])
    return (rank, res)

for _ in range(INT()):
    N = INT()
    A = LIST()
    S = input()
    M = max(A).bit_length()

    mat = [0] * M
    collen = 1
    for i in range(N-1, -1, -1):
        if S[i] == '0':
            for k in range(M):
                mat[k] |= (A[i]>>k & 1) << collen
            collen += 1
        else:
            cur = mat[:]
            for k in range(M):
                cur[k] |= (A[i]>>k & 1) << collen
            rank, res = gauss_jordan(cur, extended=True)
            if rank == -1:
                print(1)
                break
    else:
        print(0)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
from collections import defaultdict

def input(): return sys.stdin.readline().strip()
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)]
def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)]
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
sys.setrecursionlimit(10 ** 9)
INF = 10 ** 19
MOD = 10 ** 9 + 7

def rec(i, cur):
    if memo[i][cur] != -1:
        return memo[i][cur]
    if i == N:
        if cur == 0:
            return 0
        else:
            return 1
    if S[i] == '0':
        res = 1
        res &= rec(i+1, cur)
        res &= rec(i+1, cur^A[i])
    else:
        res = 0
        res ^= rec(i+1, cur)
        res ^= rec(i+1, cur^A[i])
    memo[i][cur] = res
    return res

for _ in range(INT()):
    N = INT()
    A = LIST()
    S = input()

    memo = [defaultdict(lambda: -1) for i in range(N+1)]
    ans = rec(0, 0)
    print(ans)


Fixed submission:
import sys

def input(): return sys.stdin.readline().strip()
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)]
def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)]
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
sys.setrecursionlimit(10 ** 9)
INF = 10 ** 19
MOD = 10 ** 9 + 7

def deepcopy(li): return [x[:] for x in li]

def gauss_jordan(A, extended=False):
    """ ガウス・ジョルダン法(連立方程式の解) """

    N, M = len(A), max(A).bit_length()
    B = A[:]
    rank = 0
    res = []
    for col in range(M):
        if extended and col == M-1:
            break
        pivot = -1
        for row in range(rank, N):
            if B[row]>>col & 1:
                pivot = row
                break
        if pivot == -1:
            continue
        B[rank], B[pivot] = B[pivot], B[rank]
        for row in range(N):
            if row != rank and B[row]>>col & 1:
                B[row] ^= B[rank]
        res.append(col)
        rank += 1
    for row in range(rank, N):
        if B[row]>>(M-1) & 1:
            return (-1, [])
    return (rank, res)

for _ in range(INT()):
    N = INT()
    A = LIST()
    S = input()
    M = max(A).bit_length()

    mat = [0] * M
    collen = 1
    for i in range(N-1, -1, -1):
        if S[i] == '0':
            for k in range(M):
                mat[k] |= (A[i]>>k & 1) << collen
            collen += 1
        else:
            cur = mat[:]
            for k in range(M):
                cur[k] |= (A[i]>>k & 1) << collen
            rank, res = gauss_jordan(cur, extended=True)
            if rank == -1:
                print(1)
                break
    else:
        print(0)