#include using namespace std; using lint = long long; constexpr lint mod = 998244353; #define all(x) (x).begin(), (x).end() #define bitcount(n) __builtin_popcountl((lint)(n)) #define fcout cout << fixed << setprecision(15) #define highest(x) (63 - __builtin_clzl(x)) #define rep(i, n) for(int i = 0; i < int(n); i++) #define rep2(i, l, r) for(int i = int(l); i < int(r); i++) #define repr(i, n) for(int i = int(n) - 1; i >= 0; i--) #define repr2(i, l, r) for(int i = int(r) - 1; i >= int(l); i--) #define mp(x, y) make_pair(x, y) constexpr int inf9 = 1e9; constexpr lint inf18 = 1e18; inline void YES(bool condition){ if(condition) cout << "YES" << endl; else cout << "NO" << endl; } inline void Yes(bool condition){ if(condition) cout << "Yes" << endl; else cout << "No" << endl; } inline void assertNO(bool condition){ if(!condition){ cout << "NO" << endl; exit(0); } } inline void assertNo(bool condition){ if(!condition){ cout << "No" << endl; exit(0); } } inline void assertm1(bool condition){ if(!condition){ cout << -1 << endl; exit(0); } } lint power(lint base, lint exponent, lint module){ if(exponent % 2){ return power(base, exponent - 1, module) * base % module; }else if(exponent){ lint root_ans = power(base, exponent / 2, module); return root_ans * root_ans % module; }else{ return 1; }} struct position{ int x, y; }; position mv[4] = {{0, -1}, {1, 0}, {0, 1}, {-1, 0}}; double euclidean(position first, position second){ return sqrt((second.x - first.x) * (second.x - first.x) + (second.y - first.y) * (second.y - first.y)); } template string to_string(pair x){ return to_string(x.first) + "," + to_string(x.second); } string to_string(string x){ return x; } template string to_string(complex x){ return to_string(make_pair(x.real(), x.imag())); } template void array_output(itr start, itr goal){ string ans; for(auto i = start; i != goal; i++) cout << (i == start ? "" : " ") << (*i); if(!ans.empty()) ans.pop_back(); cout << ans << endl; } template void cins(itr first, itr last){ for(auto i = first; i != last; i++){ cin >> (*i); } } template T gcd(T a, T b){ if(b) return gcd(b, a % b); else return a; } template T lcm(T a, T b){ return a / gcd(a, b) * b; } struct combination{ vector fact, inv; combination(int sz) : fact(sz + 1), inv(sz + 1){ fact[0] = 1; for(int i = 1; i <= sz; i++){ fact[i] = fact[i - 1] * i % mod; } inv[sz] = power(fact[sz], mod - 2, mod); for(int i = sz - 1; i >= 0; i--){ inv[i] = inv[i + 1] * (i + 1) % mod; } } lint P(int n, int r){ if(r < 0 || n < r) return 0; return (fact[n] * inv[n - r] % mod); } lint C(int p, int q){ if(q < 0 || p < q) return 0; return (fact[p] * inv[q] % mod * inv[p - q] % mod); } }; template bool next_sequence(itr first, itr last, int max_bound){ itr now = last; while(now != first){ now--; (*now)++; if((*now) == max_bound){ (*now) = 0; }else{ return true; } } return false; } template bool next_sequence2(itr first, itr last, itr2 first2, itr2 last2){ itr now = last; itr2 now2 = last2; while(now != first){ now--, now2--; (*now)++; if((*now) == (*now2)){ (*now) = 0; }else{ return true; } } return false; } template bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } return 0; } template bool chmin(T &a, const T &b){ if(b < a){ a = b; return 1; } return 0; } inline int at(lint i, int j){ return (i >> j) & 1; } random_device rnd; bool is_in_board(lint y, lint x, lint H, lint W){ return (0 <= y && y < H && 0 <= x && x < W); } lint inv2 = power(2, mod - 2, mod); vector A; vector cntA, cntB; void dfs(int cum_xor, int remaining, int back, bool is_A){ // cout << remaining << endl; if(remaining == 0){ if(is_A) cntA[cum_xor]++; else cntB[cum_xor]++; return; } for(int i: A){ if(i == back) continue; dfs(cum_xor ^ i, remaining - 1, i, is_A); } } int main(){ int N, K, X, Y; cin >> N >> K >> X >> Y; A.resize(K); cins(all(A)); sort(all(A)); A.erase(unique(all(A)), A.end()); K = int(A.size()); int M = N / 2; cntA.resize(1024, 0); cntB.resize(1024, 0); dfs(0, M, -1, true); dfs(0, N - M, -1, false); auto cntAs = cntA, cntBs = cntB; vector> cntAx(1024), cntBx(1024); rep(i, 1024){ cntA = vector(1024, 0); cntB = vector(1024, 0); dfs(0, M - 1, i, true); dfs(0, N - M - 1, i, false); cntAx[i] = cntA; cntBx[i] = cntB; } lint ans = 0; rep(i, 1024) rep(j, 1024){ if(X <= (i ^ j) && (i ^ j) <= Y) ans += cntAs[i] * cntBs[j]; } rep(x, 1024) rep(i, 1024) rep(j, 1024){ if(X <= (i ^ j) && (i ^ j) <= Y) ans -= cntAx[x][i] * cntBx[x][j]; } cout << ans % mod << endl; }