def main():
    import sys
    input = sys.stdin.read
    data = input().split()
    idx = 0
    
    N = int(data[idx])
    Q = int(data[idx+1])
    idx +=2
    
    A = list(map(int, data[idx:idx+N]))
    idx +=N
    
    S = data[idx]
    idx +=1
    
    t_list = list(map(int, data[idx:idx+Q]))
    idx +=Q
    
    max_bit = 30  # since A_i and t_i can be up to 1e9 which is <2^30
    
    # Precompute operations: convert to list of 0 or 1 (AND/OR)
    ops = [0]*N
    for i in range(N):
        ops[i] = 0 if S[i] == '0' else 1
    
    # Precompute each bit's A values for all operations
    # A_bits[b][i] = (A[i] >> b) & 1
    A_bits = [ [0]*N for _ in range(max_bit+1) ]
    for b in range(max_bit+1):
        mask = 1 << b
        for i in range(N):
            A_bits[b][i] = (A[i] & mask) != 0
    
    # For each bit b, precompute sum_delta for initial 0 and 1
    bit_scores = [[0, 0] for _ in range(max_bit+1)]
    
    for b in range(max_bit+1):
        # Initial x=0
        current = 0
        sum_delta0 = 0
        for i in range(N):
            a = A_bits[b][i]
            op = ops[i]
            prev = current
            if op == 0:
                current = prev & a
            else:
                current = prev | a
            sum_delta0 += abs(current - prev)
        
        # Initial x=1
        current = 1
        sum_delta1 = 0
        for i in range(N):
            a = A_bits[b][i]
            op = ops[i]
            prev = current
            if op == 0:
                current = prev & a
            else:
                current = prev | a
            sum_delta1 += abs(current - prev)
        
        multiplier = 1 << b
        bit_scores[b][0] = sum_delta0 * multiplier
        bit_scores[b][1] = sum_delta1 * multiplier
    
    # Process each query
    results = []
    for t in t_list:
        total = 0
        for b in range(max_bit+1):
            if t & (1 << b):
                total += bit_scores[b][1]
            else:
                total += bit_scores[b][0]
        results.append(total)
    
    print('\n'.join(map(str, results)))

if __name__ == "__main__":
    main()