import std.stdio, std.conv, std.functional, std.string;
import std.algorithm, std.array, std.container, std.range, std.typecons;
import std.bigint, std.numeric, std.math, std.random;
import core.bitop;

string FMT_F = "%.10f";

static File _f;
void file_io(string fn) { _f = File(fn, "r"); }
static string[] s_rd;
T _RD(T = long)() { while(!s_rd.length) s_rd = readln.chomp.split; string res = s_rd[0]; s_rd.popFront; return res.to!T; }
T _RD(T = long)(File f) { while(!s_rd.length) s_rd = f.readln.chomp.split; string res = s_rd[0]; s_rd.popFront; return res.to!T; }
T[] _RDA(T = long)(T fix = 0) { auto r = readln.chomp.split.to!(T[]); r[] += fix; return r; }
T[] _RDA(T = long)(File f, T fix = 0) { auto r = f.readln.chomp.split.to!(T[]); r[] += fix; return r; }
T RD(T = long)() { if (_f.isOpen) return _RD!T(_f); else return _RD!T; }
T[] RDA(T = long)(T fix = 0) { if (_f.isOpen)  return _RDA!T(_f, fix); else return _RDA!T(fix); }

size_t[] MAKE_IDX(alias less = "a < b", Range)(Range range) { auto idx = new size_t[](range.length); makeIndex!(less)(range, idx); return idx;}
size_t MIN_POS(alias less = "a < b", Range)(Range range) { auto r = minPos!(less)(range); return range.length - r.length; }

void chmin(T)(ref T x, T y) { x = min(x, y); } void chmax(T)(ref T x, T y) { x = max(x, y); }
bool inside(T)(T x, T b, T e) { return x >= b && x < e; }
T lcm(T)(T x, T y) { return x * (y / gcd(x, y)); }

//long mod = 10^^9 + 7;
long mod = 998_244_353;
//long mod = 1_000_003;
void moda(T)(ref T x, T y) { x = (x + y) % mod; }
void mods(T)(ref T x, T y) { x = ((x + mod) - (y % mod)) % mod; }
void modm(T)(ref T x, T y) { x = (x * y) % mod; }
void modpow(T)(ref T x, T y) { if (!y) { x = 1; return; } auto t = x; x.modpow(y>>1); x.modm(x); if (y&1) x.modm(t); }
void modd(T)(ref T x, T y) { y.modpow(mod - 2); x.modm(y); }

void main()
{
	auto N = RD;
	auto Q = RD;
	auto A = RDA;
	auto S = RD!string;
	auto t = RDA;

	auto x = new long[](32);
	x[] = 2;
	auto f0 = new bool[](32);
	auto f1 = new bool[](32);
	long base;
	foreach (i; 0..N)
	{
		foreach (j; 0..32)
		{
			auto bit = 1L << j;
			if (S[i] == '0')
			{
				if ((A[i] & bit) == 0)
				{
					if (x[j] == 1)
						base += bit;
					else if (x[j] == 2)
						f1[j] = true;
					x[j] = 0;
				}
			}
			else
			{
				if (A[i] & bit)
				{
					if (x[j] == 0)
						base += bit;
					else if (x[j] == 2)
						f0[j] = true;
					x[j] = 1;
				}
			}
		}
	}
	debug writeln("base:", base);

	foreach (qi; 0..Q)
	{
		long ans = base;
		foreach (i; 0..32)
		{
			auto bit = 1L << i;
			if (t[qi] & bit)
			{
				if (f1[i])
					ans += bit;
			}
			else
			{
				if (f0[i])
					ans += bit;
			}
		}
		writeln(ans);
	}

	stdout.flush;
	debug readln;
}