Buggy python submission (verdict: Time Limit Exceeded):
def solve(N, A, S):
    dp = [set() for _ in range(N+1)]
    dp[N].add(0)
    for i in reversed(range(N)):
        if S[i] == "0":
            for v in dp[i+1]:
                dp[i].add(v)
                dp[i].add(v ^ A[i])
        else:
            if A[i] in dp[i+1]:
                dp[i] |= dp[i+1]
            else:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        if S[-1] == "1":
            ans[i] = 1
        else:
            ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()


Fixed submission:
def solve(N, A, S):
    dp = []
    for i in reversed(range(N)):
        x = A[i]
        for v in dp:
            x = min(x, v^x)
        if x > 0:
            if S[i] == "0":
                dp.append(x)
            else:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def solve(N, A, S):
    dp = [set() for _ in range(N+1)]
    dp[N].add(0)
    for i in reversed(range(N)):
        if S[i] == "0":
            for v in dp[i+1]:
                dp[i].add(v)
                dp[i].add(v ^ A[i])
        else:
            if A[i] in dp[i+1]:
                for v in dp[i+1]:
                    dp[i].add(v)
            else:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        if S[-1] == "1":
            ans[i] = 1
        else:
            ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()


Fixed submission:
def solve(N, A, S):
    dp = []
    for i in reversed(range(N)):
        x = A[i]
        for v in dp:
            x = min(x, v^x)
        if x > 0:
            if S[i] == "0":
                dp.append(x)
            else:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline

def solve(N, A, S):
    dp = set()
    dp.add(0)
    for i in reversed(range(N)):
        if S[i] == "0":
            st = set()
            for v in dp:
                st.add(v ^ A[i])
            dp |= st
        else:
            if not A[i] in dp:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        if S[-1] == "1":
            ans[i] = 1
        else:
            ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Fixed submission:
def solve(N, A, S):
    dp = []
    for i in reversed(range(N)):
        x = A[i]
        for v in dp:
            x = min(x, v^x)
        if x > 0:
            if S[i] == "0":
                dp.append(x)
            else:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def solve(N, A, S):
    dp = set()
    dp.add(0)
    for i in reversed(range(N)):
        if S[i] == "0":
            st = set()
            for v in dp:
                st.add(v ^ A[i])
            dp |= st
        else:
            if not A[i] in dp:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        if S[-1] == "1":
            ans[i] = 1
        else:
            ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Fixed submission:
def solve(N, A, S):
    dp = []
    for i in reversed(range(N)):
        x = A[i]
        for v in dp:
            x = min(x, v^x)
        if x > 0:
            if S[i] == "0":
                dp.append(x)
            else:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def solve(N, A, S):
    dp = set()
    dp.add(0)
    for i in reversed(range(N)):
        if S[i] == "0":
            st = set()
            for v in dp:
                st.add(v ^ A[i])
            dp |= st
        else:
            if not A[i] in dp:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        if S[-1] == "1":
            ans[i] = 1
        else:
            ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Fixed submission:
def solve(N, A, S):
    dp = []
    for i in reversed(range(N)):
        x = A[i]
        for v in dp:
            x = min(x, v^x)
        if x > 0:
            if S[i] == "0":
                dp.append(x)
            else:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def solve(N, A, S):
    dp = [set() for _ in range(N+1)]
    dp[N].add(0)
    for i in reversed(range(N)):
        if S[i] == "0":
            for v in dp[i+1]:
                dp[i].add(v)
                dp[i].add(v ^ A[i])
        else:
            if A[i] in dp[i+1]:
                for v in dp[i+1]:
                    dp[i].add(v)
    if 0 in dp[0]:
        return 0
    else:
        return 1

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        if S[-1] == "1":
            ans[i] = 1
        else:
            ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Fixed submission:
def solve(N, A, S):
    dp = []
    for i in reversed(range(N)):
        x = A[i]
        for v in dp:
            x = min(x, v^x)
        if x > 0:
            if S[i] == "0":
                dp.append(x)
            else:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def solve(N, A, S):
    dp = [set() for _ in range(N+1)]
    dp[N].add(0)
    for i in reversed(range(N)):
        if S[i] == "0":
            for v in dp[i+1]:
                dp[i].add(v)
                dp[i].add(v ^ A[i])
        else:
            if A[i] in dp[i+1]:
                for v in dp[i+1]:
                    dp[i].add(v)
    if 0 in dp[0]:
        return 0
    else:
        return 1

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        if S[-1] == "1":
            ans[i] = 1
        else:
            ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Fixed submission:
def solve(N, A, S):
    dp = []
    for i in reversed(range(N)):
        x = A[i]
        for v in dp:
            x = min(x, v^x)
        if x > 0:
            if S[i] == "0":
                dp.append(x)
            else:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def solve(N, A, S):
    dp = [set() for _ in range(N+1)]
    dp[N].add(0)
    for i in reversed(range(N)):
        if S[i] == "0":
            for v in dp[i+1]:
                dp[i].add(v)
                dp[i].add(v ^ A[i])
        else:
            for v in dp[i+1]:
                if v ^ A[i] in dp[i+1]:
                    dp[i].add(v)
    if 0 in dp[0]:
        return 0
    else:
        return 1

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        if S[-1] == "1":
            ans[i] = 1
        else:
            ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Fixed submission:
def solve(N, A, S):
    dp = []
    for i in reversed(range(N)):
        x = A[i]
        for v in dp:
            x = min(x, v^x)
        if x > 0:
            if S[i] == "0":
                dp.append(x)
            else:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def solve(N, A, S):
    dp = [set() for _ in range(N+1)]
    dp[N].add(0)
    for i in reversed(range(N)):
        if S[i] == "0":
            for v in dp[i+1]:
                dp[i].add(v)
                dp[i].add(v ^ A[i])
        else:
            for v in dp[i+1]:
                if v ^ A[i] in dp[i+1]:
                    dp[i].add(v)
    if 0 in dp[0]:
        return 0
    else:
        return 1

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        if S[-1] == "1":
            ans[i] = 1
        else:
            ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()

Fixed submission:
def solve(N, A, S):
    dp = []
    for i in reversed(range(N)):
        x = A[i]
        for v in dp:
            x = min(x, v^x)
        if x > 0:
            if S[i] == "0":
                dp.append(x)
            else:
                return 1
    return 0

def main():
    T = int(input())
    ans = [None]*T
    for i in range(T):
        N = int(input())
        A = list(map(int, input().split()))
        S = input()
        ans[i] = solve(N, A, S)
    for v in ans:
        print(v)

if __name__ == "__main__":
    main()