#include using namespace std; #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) begin(v),end(v) template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } using ll = long long; using pii = pair; constexpr ll INF = 1ll<<30; constexpr ll longINF = 1ll<<60; constexpr ll MOD = 998244353; constexpr bool debug = false; //---------------------------------// template struct ModInt { static_assert(M > 0); public: using value_type = int; using calc_type = std::int_fast64_t; private: value_type val_; public: constexpr ModInt(calc_type val = 0) : val_(val < 0 ? (val % M + M) % M : val % M) {} constexpr const value_type & val() const noexcept { return val_; } constexpr static decltype(M) mod() noexcept { return M; } explicit constexpr operator bool() const noexcept { return val_; } constexpr bool operator !() const noexcept { return !static_cast(*this); } constexpr ModInt operator +() const noexcept { return ModInt(*this); } constexpr ModInt operator -() const noexcept { return ModInt(-val_); } constexpr ModInt operator ++(int) noexcept { ModInt res = *this; ++*this; return res; } constexpr ModInt operator --(int) noexcept { ModInt res = *this; --*this; return res; } constexpr ModInt & operator ++() noexcept { val_ = val_ + 1 == M ? 0 : val_ + 1; return *this; } constexpr ModInt & operator --() noexcept { val_ = val_ == 0 ? M - 1 : val_ - 1; return *this; } constexpr ModInt & operator +=(const ModInt & rhs) noexcept { val_ += val_ < M - rhs.val_ ? rhs.val_ : rhs.val_ - M; return *this; } constexpr ModInt & operator -=(const ModInt & rhs) noexcept { val_ += val_ >= rhs.val_ ? -rhs.val_ : M - rhs.val_; return *this; } constexpr ModInt & operator *=(const ModInt & rhs) noexcept { val_ = static_cast(val_) * rhs.val_ % M; return *this; } constexpr ModInt & operator /=(const ModInt & rhs) noexcept { return *this *= rhs.inv(); } friend constexpr ModInt operator +(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) += rhs; } friend constexpr ModInt operator -(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) -= rhs; } friend constexpr ModInt operator *(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) *= rhs; } friend constexpr ModInt operator /(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) /= rhs; } friend constexpr bool operator ==(const ModInt & lhs, const ModInt & rhs) noexcept { return lhs.val_ == rhs.val_; } friend constexpr bool operator !=(const ModInt & lhs, const ModInt & rhs) noexcept { return !(lhs == rhs); } friend std::ostream & operator <<(std::ostream & os, const ModInt & rhs) { return os << rhs.val_; } friend std::istream & operator >>(std::istream & is, ModInt & rhs) { calc_type x; is >> x; rhs = ModInt(x); return is; } constexpr ModInt pow(calc_type n) const noexcept { ModInt res = 1, x = val_; if (n < 0) { x = x.inv(); n = -n; } while (n) { if (n & 1) res *= x; x *= x; n >>= 1; } return res; } constexpr ModInt inv() const noexcept { value_type a = val_, a1 = 1, a2 = 0, b = M, b1 = 0, b2 = 1; while (b > 0) { value_type q = a / b, r = a % b; value_type nb1 = a1 - q * b1, nb2 = a2 - q * b2; a = b; b = r; a1 = b1; b1 = nb1; a2 = b2; b2 = nb2; } assert(a == 1); return a1; } }; using mint = ModInt; int main() { int N, K, X, Y; cin >> N >> K >> X >> Y; constexpr int MAXA = (1 << 10) - 1; vector done(MAXA + 1); REP(i, K) { int A; scanf("%d", &A); done[A] = true; } vector A; REP(i, MAXA + 1) if (done[i]) A.emplace_back(i); K = A.size(); chmin(X, MAXA); chmin(Y, MAXA); // [j][k] := i 個構築し、最後が j であるようなときの数 全体の xor が k // i について配列の再利用 vector dp(vector(K, vector(MAXA + 1, mint(0)))); auto nextdp = dp; vector sum(MAXA + 1, mint(0)); // [k] := \Sum dp[*][k] dp[0][0] = 1; REP(i, N) { nextdp.assign(K, vector(MAXA + 1, mint(0))); sum.assign(MAXA + 1, 0); REP(j, K) REP(k, MAXA + 1) sum[k] += dp[j][k]; REP(j, K) REP(k, MAXA + 1) { if (i > 0) nextdp[j][k] = sum[A[j] ^ k] - dp[j][A[j] ^ k]; else nextdp[j][k] = sum[A[j] ^ k]; } swap(dp, nextdp); } mint ans = 0; REP(j, K) FOR(k, X, Y + 1) ans += dp[j][k]; cout << ans << endl; }