Buggy python submission (verdict: Time Limit Exceeded):
def main():
    t = int(input())
    for _ in range(t):
        nn, aa, s, r, mm = int(input()), list(map(int, input().split())), input(), 0, []
        for ii in range(nn-1, -1, -1):
            ai = aa[ii]
            mm += [[(ai >> jj) & 1 for jj in range(64)]]
            n, i, j = r+1, 0, 0
            while i < n and j < 64:
                if mm[i][j] == 1 and mm[n-1][j] == 0:
                    i += 1
                    j += 1
                    continue
                if mm[i][j] == 0:
                    if mm[n-1][j] != 0:
                        for l in range(j, 64):
                            mm[i][l] ^= mm[n-1][l]
                    else:
                        j += 1
                        continue
                M2 = mm[i]
                for k in range(i+1, n):
                    M3 = mm[k][j]
                    mm[k][j] = 0
                    for l in range(j+1, 64):
                        mm[k][l] ^= M3*M2[l]
                i += 1
                j += 1
    
            if s[ii] == "0":
                if i > r:
                    r += 1
                else:
                    mm.pop()
            else:
                mm.pop()
                if i > r:
                    print(1)
                    break
        else:
            print(0)


main()


Fixed submission:
def main():
    t = int(input())
    for _ in range(t):
        nn, aa, s, r, mm = int(input()), list(map(int, input().split())), input(), 0, []
        for ii in range(nn-1, -1, -1):
            ai = aa[ii]
            mm += [[(ai >> jj) & 1 for jj in range(64)]]
            n, i, j = r+1, 0, 0
            while i < n and j < 64:
                if mm[i][j] == 1 and mm[n-1][j] == 0:
                    i += 1
                    j += 1
                    continue
                if mm[i][j] == 0:
                    if mm[n-1][j] != 0:
                        for l in range(j, 64):
                            mm[i][l] ^= mm[n-1][l]
                    else:
                        j += 1
                        continue
                M2 = mm[i]
                for k in range(i+1, n):
                    M3 = mm[k][j]
                    mm[k][j] = 0
                    for l in range(j+1, 64):
                        mm[k][l] ^= M3*M2[l]
                i += 1
                j += 1
    
            if s[ii] == "0":
                if i > r:
                    r += 1
                else:
                    mm.pop()
            else:
                mm.pop()
                if i > r:
                    print(1)
                    break
        else:
            print(0)


main()

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    # rankを出力、modを使って実装
    def matrix_rank(a):
        n, m = len(a), len(a[0])
        M = [[j for j in i] for i in a]
        rank = min(n, m)
        i, j = 0, 0
        while i < n and j < m:
            if M[i][j] == 0:
                for k in range(i+1, n):
                    if M[k][j] != 0:
                        for l in range(j, m):
                            M[i][l] ^= M[k][l]
                        break
                else:
                    j += 1
                    continue
            M2 = M[i]
            for k in range(i+1, n):
                M3 = M[k][j]
                M[k][j] = 0
                for l in range(j+1, m):
                    M[k][l] ^= M3*M2[l]
            i += 1
            j += 1
        return i

    t = int(input())
    for _ in range(t):
        n = int(input())
        a = list(map(int, input().split()))
        s = input()
        r = 0
        m = []
        m2 = []
        for i in range(n-1, -1, -1):
            ai = a[i]
            b = [[(ai >> j) & 1 for j in range(64)]]
            newr = matrix_rank(m+b)
            if s[i] == "0":
                if newr > r:
                    r += 1
                    m += b
                    m2 += [ai]
            else:
                if newr > r:
                    print(1)
                    break
        else:
            print(0)


main()

Fixed submission:
def main():
    t = int(input())
    for _ in range(t):
        nn, aa, s, r, mm = int(input()), list(map(int, input().split())), input(), 0, []
        for ii in range(nn-1, -1, -1):
            ai = aa[ii]
            mm += [[(ai >> jj) & 1 for jj in range(64)]]
            n, i, j = r+1, 0, 0
            while i < n and j < 64:
                if mm[i][j] == 1 and mm[n-1][j] == 0:
                    i += 1
                    j += 1
                    continue
                if mm[i][j] == 0:
                    if mm[n-1][j] != 0:
                        for l in range(j, 64):
                            mm[i][l] ^= mm[n-1][l]
                    else:
                        j += 1
                        continue
                M2 = mm[i]
                for k in range(i+1, n):
                    M3 = mm[k][j]
                    mm[k][j] = 0
                    for l in range(j+1, 64):
                        mm[k][l] ^= M3*M2[l]
                i += 1
                j += 1
    
            if s[ii] == "0":
                if i > r:
                    r += 1
                else:
                    mm.pop()
            else:
                mm.pop()
                if i > r:
                    print(1)
                    break
        else:
            print(0)


main()

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    # rankを出力、modを使って実装
    def matrix_rank(a, mod=2):
        n, m = len(a), len(a[0])
        M = [[j for j in i] for i in a]
        rank = min(n, m)
        i, j = 0, 0
        while i < n and j < m:
            if M[i][j] == 0:
                for k in range(i+1, n):
                    if M[k][j] != 0:
                        for l in range(j, m):
                            M[i][l] = (M[i][l]+M[k][l]) % mod
                        break
                else:
                    j += 1
                    continue
            pinv = pow(M[i][j], mod-2, mod)
            for k in range(m):
                M[i][k] = M[i][k]*pinv % mod
            M2 = M[i]
            for k in range(i+1, n):
                M3 = M[k][j]
                M[k][j] = 0
                for l in range(j+1, m):
                    M[k][l] = (M[k][l]-M3*M2[l]) % mod
            i += 1
            j += 1
        return i

    t = int(input())
    for _ in range(t):
        n = int(input())
        a = list(map(int, input().split()))
        s = input()
        r = 0
        m = []
        m2 = []
        for i in range(n-1, -1, -1):
            ai = a[i]
            b = [[(ai >> j) & 1 for j in range(64)]]
            newr = matrix_rank(m+b)
            if s[i] == "0":
                if newr > r:
                    r += 1
                    m += b
                    m2 += [ai]
            else:
                if newr > r:
                    print(1)
                    break
        else:
            print(0)


main()


Fixed submission:
def main():
    t = int(input())
    for _ in range(t):
        nn, aa, s, r, mm = int(input()), list(map(int, input().split())), input(), 0, []
        for ii in range(nn-1, -1, -1):
            ai = aa[ii]
            mm += [[(ai >> jj) & 1 for jj in range(64)]]
            n, i, j = r+1, 0, 0
            while i < n and j < 64:
                if mm[i][j] == 1 and mm[n-1][j] == 0:
                    i += 1
                    j += 1
                    continue
                if mm[i][j] == 0:
                    if mm[n-1][j] != 0:
                        for l in range(j, 64):
                            mm[i][l] ^= mm[n-1][l]
                    else:
                        j += 1
                        continue
                M2 = mm[i]
                for k in range(i+1, n):
                    M3 = mm[k][j]
                    mm[k][j] = 0
                    for l in range(j+1, 64):
                        mm[k][l] ^= M3*M2[l]
                i += 1
                j += 1
    
            if s[ii] == "0":
                if i > r:
                    r += 1
                else:
                    mm.pop()
            else:
                mm.pop()
                if i > r:
                    print(1)
                    break
        else:
            print(0)


main()

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    t = int(input())
    for _ in range(t):
        n = int(input())
        a = list(map(int, input().split()))
        s = input()
        r = 0
        m = []
        m2 = []
        for i in range(n-1, -1, -1):
            ai = a[i]
            b = [[(ai >> j) & 1 for j in range(64)]]
            m = m+b
            M = [[jj for jj in ii] for ii in m]
            x = min(r+1, 64)
            newr = x
            for ii in range(x):
                if M[ii][ii] == 0:
                    for jj in range(ii+1, r+1):
                        if M[jj][ii]:
                            for kk in range(ii, 64):
                                M[ii][kk] ^= M[jj][kk]
                            break
                    else:
                        for jj in range(ii+1, 64):
                            if M[ii][jj] != 0:
                                for kk in range(ii, r+1):
                                    M[kk][ii] ^= M[kk][jj]
                                break
                        else:
                            newr -= 1
                M2 = M[ii]
                for jj in range(ii+1, r+1):
                    M3 = M[jj][ii]
                    M[jj][ii] = 0
                    for kk in range(ii+1, 64):
                        M[jj][kk] ^= M3*M2[kk]
            if s[i] == "0":
                if newr > r:
                    r += 1
                else:
                    m.pop()
            else:
                m.pop()
                if newr > r:
                    print(1)
                    break
        else:
            print(0)


main()


Fixed submission:
def main():
    t = int(input())
    for _ in range(t):
        nn, aa, s, r, mm = int(input()), list(map(int, input().split())), input(), 0, []
        for ii in range(nn-1, -1, -1):
            ai = aa[ii]
            mm += [[(ai >> jj) & 1 for jj in range(64)]]
            n, i, j = r+1, 0, 0
            while i < n and j < 64:
                if mm[i][j] == 1 and mm[n-1][j] == 0:
                    i += 1
                    j += 1
                    continue
                if mm[i][j] == 0:
                    if mm[n-1][j] != 0:
                        for l in range(j, 64):
                            mm[i][l] ^= mm[n-1][l]
                    else:
                        j += 1
                        continue
                M2 = mm[i]
                for k in range(i+1, n):
                    M3 = mm[k][j]
                    mm[k][j] = 0
                    for l in range(j+1, 64):
                        mm[k][l] ^= M3*M2[l]
                i += 1
                j += 1
    
            if s[ii] == "0":
                if i > r:
                    r += 1
                else:
                    mm.pop()
            else:
                mm.pop()
                if i > r:
                    print(1)
                    break
        else:
            print(0)


main()

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    # rankを出力、modを使って実装
    def matrix_rank(a, mod=2):
        n, m = len(a), len(a[0])
        M = [[j for j in i] for i in a]
        rank = min(n, m)
        for i in range(min(n, m)):
            if M[i][i] == 0:
                for j in range(i+1, n):
                    if M[j][i] != 0:
                        for k in range(i, m):
                            M[i][k] ^= M[j][k]
                        break
                else:
                    for j in range(i+1, m):
                        if M[i][j] != 0:
                            for k in range(i, n):
                                M[k][i] ^= M[k][j]
                            break
                    else:
                        rank -= 1
            M2 = M[i]
            for j in range(i+1, n):
                M3 = M[j][i]
                M[j][i] = 0
                for k in range(i+1, m):
                    M[j][k] ^= M3*M2[k]
        return rank

    t = int(input())
    for _ in range(t):
        n = int(input())
        a = list(map(int, input().split()))
        s = input()
        r = 0
        m = []
        m2 = []
        for i in range(n-1, -1, -1):
            ai = a[i]
            b = [[(ai >> j) & 1 for j in range(64)]]
            newr = matrix_rank(m+b)
            if s[i] == "0":
                if newr > r:
                    r += 1
                    m += b
                    m2 += [ai]
            else:
                if newr > r:
                    print(1)
                    break
        else:
            print(0)


main()


Fixed submission:
def main():
    t = int(input())
    for _ in range(t):
        nn, aa, s, r, mm = int(input()), list(map(int, input().split())), input(), 0, []
        for ii in range(nn-1, -1, -1):
            ai = aa[ii]
            mm += [[(ai >> jj) & 1 for jj in range(64)]]
            n, i, j = r+1, 0, 0
            while i < n and j < 64:
                if mm[i][j] == 1 and mm[n-1][j] == 0:
                    i += 1
                    j += 1
                    continue
                if mm[i][j] == 0:
                    if mm[n-1][j] != 0:
                        for l in range(j, 64):
                            mm[i][l] ^= mm[n-1][l]
                    else:
                        j += 1
                        continue
                M2 = mm[i]
                for k in range(i+1, n):
                    M3 = mm[k][j]
                    mm[k][j] = 0
                    for l in range(j+1, 64):
                        mm[k][l] ^= M3*M2[l]
                i += 1
                j += 1
    
            if s[ii] == "0":
                if i > r:
                    r += 1
                else:
                    mm.pop()
            else:
                mm.pop()
                if i > r:
                    print(1)
                    break
        else:
            print(0)


main()

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    # rankを出力、modを使って実装
    def matrix_rank(a, mod=2):
        n, m = len(a), len(a[0])
        M = [[j for j in i] for i in a]
        rank = min(n, m)
        for i in range(min(n, m)):
            if M[i][i] == 0:
                for j in range(i+1, n):
                    if M[j][i] != 0:
                        for k in range(i, m):
                            M[i][k] = (M[i][k]+M[j][k]) % mod
                        break
                else:
                    for j in range(i+1, m):
                        if M[i][j] != 0:
                            for k in range(i, n):
                                M[k][i] = (M[k][i]+M[k][j]) % mod
                            break
                    else:
                        rank -= 1
            pinv = pow(M[i][i], mod-2, mod)
            for j in range(m):
                M[i][j] = M[i][j]*pinv % mod
            M2 = M[i]
            for j in range(i+1, n):
                M3 = M[j][i]
                M[j][i] = 0
                for k in range(i+1, m):
                    M[j][k] = (M[j][k]-M3*M2[k]) % mod
        return rank

    t = int(input())
    for _ in range(t):
        n = int(input())
        a = list(map(int, input().split()))
        s = input()
        r = 0
        m = []
        m2 = []
        for i in range(n-1, -1, -1):
            ai = a[i]
            b = [[(ai >> j) & 1 for j in range(64)]]
            newr = matrix_rank(m+b)
            if s[i] == "0":
                if newr > r:
                    r += 1
                    m += b
                    m2 += [ai]
            else:
                if newr > r:
                    print(1)
                    break
        else:
            print(0)


main()


Fixed submission:
def main():
    t = int(input())
    for _ in range(t):
        nn, aa, s, r, mm = int(input()), list(map(int, input().split())), input(), 0, []
        for ii in range(nn-1, -1, -1):
            ai = aa[ii]
            mm += [[(ai >> jj) & 1 for jj in range(64)]]
            n, i, j = r+1, 0, 0
            while i < n and j < 64:
                if mm[i][j] == 1 and mm[n-1][j] == 0:
                    i += 1
                    j += 1
                    continue
                if mm[i][j] == 0:
                    if mm[n-1][j] != 0:
                        for l in range(j, 64):
                            mm[i][l] ^= mm[n-1][l]
                    else:
                        j += 1
                        continue
                M2 = mm[i]
                for k in range(i+1, n):
                    M3 = mm[k][j]
                    mm[k][j] = 0
                    for l in range(j+1, 64):
                        mm[k][l] ^= M3*M2[l]
                i += 1
                j += 1
    
            if s[ii] == "0":
                if i > r:
                    r += 1
                else:
                    mm.pop()
            else:
                mm.pop()
                if i > r:
                    print(1)
                    break
        else:
            print(0)


main()

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    # rankを出力、modを使って実装
    def matrix_rank(a, mod=10**9+7):
        n, m = len(a), len(a[0])
        M = [[j for j in i] for i in a]
        rank = min(n, m)
        for i in range(min(n, m)):
            if M[i][i] == 0:
                for j in range(i+1, n):
                    if M[j][i] != 0:
                        for k in range(i, m):
                            M[i][k] = (M[i][k]+M[j][k]) % mod
                        break
                else:
                    rank -= 1
            pinv = pow(M[i][i], mod-2, mod)
            for j in range(m):
                M[i][j] = M[i][j]*pinv % mod
            M2 = M[i]
            for j in range(i+1, n):
                M3 = M[j][i]
                M[j][i] = 0
                for k in range(i+1, m):
                    M[j][k] = (M[j][k]-M3*M2[k]) % mod
        return rank

    t = int(input())
    for _ in range(t):
        n = int(input())
        a = list(map(int, input().split()))
        s = input()
        r = 0
        m = []
        for i in range(n-1, -1, -1):
            ai = a[i]
            b = [[(ai >> j) & 1 for j in range(64)]]
            newr = matrix_rank(m+b)
            if s[i] == "0":
                if newr > r:
                    r += 1
                    m += b
            else:
                if newr > r:
                    print(1)
                    break
        else:
            print(0)


main()

Fixed submission:
def main():
    t = int(input())
    for _ in range(t):
        nn, aa, s, r, mm = int(input()), list(map(int, input().split())), input(), 0, []
        for ii in range(nn-1, -1, -1):
            ai = aa[ii]
            mm += [[(ai >> jj) & 1 for jj in range(64)]]
            n, i, j = r+1, 0, 0
            while i < n and j < 64:
                if mm[i][j] == 1 and mm[n-1][j] == 0:
                    i += 1
                    j += 1
                    continue
                if mm[i][j] == 0:
                    if mm[n-1][j] != 0:
                        for l in range(j, 64):
                            mm[i][l] ^= mm[n-1][l]
                    else:
                        j += 1
                        continue
                M2 = mm[i]
                for k in range(i+1, n):
                    M3 = mm[k][j]
                    mm[k][j] = 0
                    for l in range(j+1, 64):
                        mm[k][l] ^= M3*M2[l]
                i += 1
                j += 1
    
            if s[ii] == "0":
                if i > r:
                    r += 1
                else:
                    mm.pop()
            else:
                mm.pop()
                if i > r:
                    print(1)
                    break
        else:
            print(0)


main()