#pragma region Macros
#pragma GCC optimize("O3")
#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define rep2(i, a, b) for(ll i = a; i <= b; ++i)
#define rep(i, n) for(ll i = 0; i < n; ++i)
#define rep3(i, a, b) for(ll i = a; i >= b; --i)
#define pii pair<int, int>
#define pll pair<ll, ll>
#define pb push_back
#define eb emplace_back
#define vi vector<int>
#define vec vector<int>
#define vll vector<ll>
#define vpi vector<pii>
#define vpll vector<pll>
#define overload2(_1, _2, name, ...) name
#define vv(a, b) vector<vector<int>>(a, vector<int>(b))
#define vv2(a, b, c) vector<vector<int>>(a, vector<int>(b, c))
#define vvl(a, b) vector<vector<ll>>(a, vector<ll>(b))
#define vvl2(a, b, c) vector<vector<ll>>(a, vector<ll>(b, c))
#define vvv(a, b, c) vector<vector<vector<int>>>(a, vv(b, c))
#define vvv2(a, b, c, d) vector<vector<vector<int>>>(a, vv2(b, c, d))
#define vvvl(a, b, c) vector<vvl(b, c)>(a)
#define vvvl2(a, b, c, d) vector<vvl(b, c, d)>(a)
#define fi first
#define se second
#define all(c) begin(c), end(c)
#define ios ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
#define lb(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define ub(c, x) distance((c).begin(), upper_bound(all(c), (x)))
using namespace std;
template <class T> using pq = priority_queue<T>;
template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>;
#define Size(c) (int)(c).size()
#define INT(...)                                                                                                                                               \
    int __VA_ARGS__;                                                                                                                                           \
    IN(__VA_ARGS__)
#define LL(...)                                                                                                                                                \
    ll __VA_ARGS__;                                                                                                                                            \
    IN(__VA_ARGS__)
#define ULL(...)                                                                                                                                               \
    ull __VA_ARGS__;                                                                                                                                           \
    IN(__VA_ARGS__)
#define STR(...)                                                                                                                                               \
    string __VA_ARGS__;                                                                                                                                        \
    IN(__VA_ARGS__)
#define CHR(...)                                                                                                                                               \
    char __VA_ARGS__;                                                                                                                                          \
    IN(__VA_ARGS__)
#define DBL(...)                                                                                                                                               \
    double __VA_ARGS__;                                                                                                                                        \
    IN(__VA_ARGS__)
#define LD(...)                                                                                                                                                \
    ld __VA_ARGS__;                                                                                                                                            \
    IN(__VA_ARGS__)
#define VEC(type, name, size)                                                                                                                                  \
    vector<type> name(size);                                                                                                                                   \
    IN(name)
#define VV(type, name, h, w)                                                                                                                                   \
    vector<vector<type>> name(h, vector<type>(w));                                                                                                             \
    IN(name)
int scan() { return getchar(); }
void scan(int &a) { cin >> a; }
void scan(long long &a) { cin >> a; }
void scan(char &a) { cin >> a; }
void scan(double &a) { cin >> a; }
void scan(long double &a) { cin >> a; }
void scan(char a[]) { scanf("%s", a); }
void scan(string &a) { cin >> a; }
template <class T> void scan(vector<T> &);
template <class T, size_t size> void scan(array<T, size> &);
template <class T, class L> void scan(pair<T, L> &);
template <class T, size_t size> void scan(T (&)[size]);
template <class T> void scan(vector<T> &a) {
    for(auto &i : a) scan(i);
}
template <class T> void scan(deque<T> &a) {
    for(auto &i : a) scan(i);
}
template <class T, size_t size> void scan(array<T, size> &a) {
    for(auto &i : a) scan(i);
}
template <class T, class L> void scan(pair<T, L> &p) {
    scan(p.first);
    scan(p.second);
}
template <class T, size_t size> void scan(T (&a)[size]) {
    for(auto &i : a) scan(i);
}
template <class T> void scan(T &a) { cin >> a; }
void IN() {}
template <class Head, class... Tail> void IN(Head &head, Tail &... tail) {
    scan(head);
    IN(tail...);
}
string stin() {
    string s;
    cin >> s;
    return s;
}
template <class T> inline bool chmax(T &a, T b) {
    if(a < b) {
        a = b;
        return 1;
    }
    return 0;
}
template <class T> inline bool chmin(T &a, T b) {
    if(a > b) {
        a = b;
        return 1;
    }
    return 0;
}
vi iota(int n) {
    vi a(n);
    iota(all(a), 0);
    return a;
}
template <class T> void UNIQUE(vector<T> &x) {
    sort(all(x));
    x.erase(unique(all(x)), x.end());
}
int in() {
    int x;
    cin >> x;
    return x;
}
ll lin() {
    unsigned long long x;
    cin >> x;
    return x;
}
void print() { putchar(' '); }
void print(bool a) { cout << a; }
void print(int a) { cout << a; }
void print(long long a) { cout << a; }
void print(char a) { cout << a; }
void print(string &a) { cout << a; }
void print(double a) { cout << a; }
template <class T> void print(const vector<T> &);
template <class T, size_t size> void print(const array<T, size> &);
template <class T, class L> void print(const pair<T, L> &p);
template <class T, size_t size> void print(const T (&)[size]);
template <class T> void print(const vector<T> &a) {
    if(a.empty()) return;
    print(a[0]);
    for(auto i = a.begin(); ++i != a.end();) {
        cout << " ";
        print(*i);
    }
    cout << endl;
}
template <class T> void print(const deque<T> &a) {
    if(a.empty()) return;
    print(a[0]);
    for(auto i = a.begin(); ++i != a.end();) {
        cout << " ";
        print(*i);
    }
}
template <class T, size_t size> void print(const array<T, size> &a) {
    print(a[0]);
    for(auto i = a.begin(); ++i != a.end();) {
        cout << " ";
        print(*i);
    }
}
template <class T, class L> void print(const pair<T, L> &p) {
    cout << '(';
    print(p.first);
    cout << ",";
    print(p.second);
    cout << ')';
}
template <class T> void print(set<T> &x) {
    for(auto e : x) print(e), cout << " ";
    cout << endl;
}
template <class T> void print(multiset<T> &x) {
    for(auto e : x) print(e), cout << " ";
    cout << endl;
}
template <class T, size_t size> void print(const T (&a)[size]) {
    print(a[0]);
    for(auto i = a; ++i != end(a);) {
        cout << " ";
        print(*i);
    }
}
template <class T> void print(const T &a) { cout << a; }
int out() {
    putchar('\n');
    return 0;
}
template <class T> int out(const T &t) {
    print(t);
    putchar('\n');
    return 0;
}
template <class Head, class... Tail> int out(const Head &head, const Tail &... tail) {
    print(head);
    putchar(' ');
    out(tail...);
    return 0;
}
ll gcd(ll a, ll b) {
    while(b) {
        ll c = b;
        b = a % b;
        a = c;
    }
    return a;
}
ll lcm(ll a, ll b) {
    if(!a || !b) return 0;
    return a * b / gcd(a, b);
}
vector<pll> factor(ll x) {
    vector<pll> ans;
    for(ll i = 2; i * i <= x; i++)
        if(x % i == 0) {
            ans.push_back({i, 1});
            while((x /= i) % i == 0) ans.back().second++;
        }
    if(x != 1) ans.push_back({x, 1});
    return ans;
}
vector<int> divisor(int x) {
    vector<int> ans;
    for(int i = 1; i * i <= x; i++)
        if(x % i == 0) {
            ans.pb(i);
            if(i * i != x) ans.pb(x / i);
        }
    return ans;
}
int popcount(ll x) { return __builtin_popcountll(x); }
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int rnd(int n) { return uniform_int_distribution<int>(0, n - 1)(rng); }
#define endl '\n'

#ifdef _LOCAL
#undef endl
#define debug(x)                                                                                                                                               \
    cout << #x << ": ";                                                                                                                                        \
    print(x);                                                                                                                                                  \
    cout << endl;
void err() {}
template <class T> void err(const T &t) {
    print(t);
    cout << " ";
}
template <class Head, class... Tail> void err(const Head &head, const Tail &... tail) {
    print(head);
    putchar(' ');
    out(tail...);
}
#else
#define debug(x)
template <class... T> void err(const T &...) {}
#endif

struct Setup_io {
    Setup_io() {
        ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
        cout << fixed << setprecision(15);
    }
} setup_io;
#pragma endregion

template <typename OperatorMonoid> struct DuelSegmentTree {
    using H = function<OperatorMonoid(OperatorMonoid, OperatorMonoid)>;

    int sz, height;
    vector<OperatorMonoid> lazy;
    const H h;
    const OperatorMonoid OM0;

    DuelSegmentTree(int n, const H h, const OperatorMonoid OM0) : h(h), OM0(OM0) {
        sz = 1;
        height = 0;
        while(sz < n) sz <<= 1, height++;
        lazy.assign(2 * sz, OM0);
    }

    inline void propagate(int k) {
        if(lazy[k] != OM0) {
            lazy[2 * k + 0] = h(lazy[2 * k + 0], lazy[k]);
            lazy[2 * k + 1] = h(lazy[2 * k + 1], lazy[k]);
            lazy[k] = OM0;
        }
    }

    inline void thrust(int k) {
        for(int i = height; i > 0; i--) propagate(k >> i);
    }

    void update(int a, int b, const OperatorMonoid &x) {
        thrust(a += sz);
        thrust(b += sz - 1);
        for(int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
            if(l & 1) lazy[l] = h(lazy[l], x), ++l;
            if(r & 1) --r, lazy[r] = h(lazy[r], x);
        }
    }

    OperatorMonoid operator[](int k) {
        thrust(k += sz);
        return lazy[k];
    }
};

constexpr int N = 200015;
DuelSegmentTree<int> seg(
    N, [](int x, int y) { return x + y; }, 0);
template <const int sz = 5 * 10000000, typename T = long long> struct IO {
    char reader[sz], writer[sz];
    char *now, *now2 = writer;
    IO() {
        reader[fread(reader, sizeof(char), sizeof(char) * sz, stdin)];
        now = reader;
    }
    inline T read() {
        while(*now && *now <= 32) now++;
        if(*now == '-') {
            now++;
            T res = 0;
            while('0' <= *now and *now <= '9') { res = res * 10 + *now++ - '0'; }
            return -res;
        } else {
            T res = 0;
            while('0' <= *now and *now <= '9') { res = res * 10 + *now++ - '0'; }
            return res;
        }
    }
    inline void write(T x, char margin = ' ') {
        if(x == 0) {
            putchar('0');
            putchar(margin);
            return;
        }
        if(x < 0) {
            putchar('-');
            x = -x;
        }
        while(x) {
            *now2 = '0' + x % 10;
            now2++;
            x /= 10;
        }
        do {
            now2--;
            putchar(*now2);
        } while(now2 != writer);
        putchar(margin);
    }
};

// read(), write(T x)

ll cmb[100][100];
ll dp[1 << 18];
main() {
    INT(n, k, s, t);
    if((s & t) != s) {
        cout << 0 << endl;
        return 0;
    }
    VEC(int, a, n);
    int C = 0;
    rep(i, 18) {
        n = a.size();
        vi nxt;
        int keta = i - C;
        if(s & (1 << i) and t & (1 << i)) {
            C++;
            rep(j, n) {
                if(~a[j] & (1 << keta)) continue;
                nxt.eb((a[j] % (1 << keta)) + ((a[j] >> (keta + 1)) << keta));
            }
            a = nxt;
        } else if(~s & (1 << i) and ~t & (1 << i)) {
            C++;
            rep(j, n) {
                if(a[j] & (1 << keta)) continue;
                nxt.eb((a[j] % (1 << keta)) + ((a[j] >> (keta + 1)) << keta));
            }
            a = nxt;
        }
        n = a.size();
    }
    if(a.empty()) {
        cout << 0 << endl;
        return 0;
    }
    ll ans = 0;
    cmb[0][0] = 1;
    rep2(i, 1, 99) {
        cmb[i][0] = 1;
        rep2(j, 1, i) cmb[i][j] = cmb[i - 1][j] + cmb[i - 1][j - 1];
    }
    rep2(i, 1, 99) { rep(j, i) cmb[i][j + 1] += cmb[i][j]; }
    rep(mask, 1 << (18 - C)) {
        int id = popcount(mask) & 1;
        rep(i, n) {
            dp[a[i] & mask]++;
            int t = dp[a[i] & mask];
            // (t-1,min(t-1,k)) -> (t,min(t,k))
            if(id)
                ans += cmb[t][min(t, k)] - cmb[t - 1][min(t - 1, k)];
            else
                ans -= cmb[t][min(t, k)] - cmb[t - 1][min(t - 1, k)];
        }
        rep(i, n) dp[a[i] & mask] = 0;
    }
    cout << abs(ans) << endl;
}


Measured memory_bytes: 7564