#pragma GCC target("avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include // #include // #include // #include // using namespace __gnu_pbds; // #include // namespace multiprecisioninteger = boost::multiprecision; // using cint=multiprecisioninteger::cpp_int; using namespace std; using ll=long long; #define double long double using datas=pair; using ddatas=pair; using tdata=pair; using vec=vector; using mat=vector; using pvec=vector; using pmat=vector; // using llset=tree,rb_tree_tag,tree_order_statistics_node_update>; #define For(i,a,b) for(i=a;i<(ll)b;++i) #define bFor(i,b,a) for(i=b,--i;i>=(ll)a;--i) #define rep(i,N) For(i,0,N) #define rep1(i,N) For(i,1,N) #define brep(i,N) bFor(i,N,0) #define brep1(i,N) bFor(i,N,1) #define all(v) (v).begin(),(v).end() #define allr(v) (v).rbegin(),(v).rend() #define vsort(v) sort(all(v)) #define vrsort(v) sort(allr(v)) #define uniq(v) vsort(v);(v).erase(unique(all(v)),(v).end()) #define endl "\n" #define eb emplace_back #define print(x) cout< ostream& operator<<(ostream& os,const pair& p){return os<<"("< ostream& operator<<(ostream& os,const vector& v){ os<<"{";ll i; rep(i,v.size()){ if(i)os<<","; os< inline bool chmax(T& a,T b){bool x=a inline bool chmin(T& a,T b){bool x=a>b;if(x)a=b;return x;} #ifdef DEBUG void debugg(){cout<void debugg(const T& x,const Args&... args){cout<<" "<0){ if(n&1)res=res*a%m; a=a*a%m; n>>=1; } return res; } ll gcd(ll a,ll b){if(!b)return abs(a);return (a%b==0)?abs(b):gcd(b,a%b);} ll lcm(ll a,ll b){return a/gcd(a,b)*b;} ll countdigits(ll n){ ll ans=0; while(n){n/=10;ans++;} return ans; } ll sumdigits(ll n){ ll ans=0; while(n){ans+=n%10;n/=10;} return ans; } int N,K,A,B; vector v; ll memo[1024][1024],sum[1024],ans[1024]; void dfs(int now,int bf,int allxor){ if(now==N/2){ if(++memo[bf][allxor]==mod)memo[bf][allxor]=0; if(++sum[allxor]==mod)sum[allxor]=0; return; } for(auto& x:v){ if(x==bf)continue; dfs(now+1,x,allxor^x); } } void fwt(int k){ for(int i=1;i<1024;i<<=1){ for(int j=0;j<1024;++j){ if(~j&i){ ll x=memo[k][j],y=memo[k][j|i]; memo[k][j]=x+y,memo[k][j|i]=x-y; if(memo[k][j]>=mod)memo[k][j]-=mod; if(memo[k][j|i]<0)memo[k][j|i]+=mod; } } } } int main(){ startupcpp(); // int codeforces;cin>>codeforces;while(codeforces--){ int i,j; cin>>N>>K>>A>>B; v.resize(K); rep(i,K)cin>>v[i]; uniq(v); K=v.size(); for(auto& x:v)dfs(1,x,x); int inv=modinv(1024); rep(i,1024){ fwt(i); rep(j,1024)(memo[i][j]*=memo[i][j])%=mod; fwt(i); rep(j,1024)ans[j]-=memo[i][j]*inv%mod; } rep(i,1024)rep(j,1024)ans[i^j]+=sum[i]*sum[j]%mod; ll res=0; if(A>=1024){ print(0);return 0; } chmin(B,1023); For(i,A,B+1)res+=ans[i]; res%=mod; if(res<0)res+=mod; print(res); // } }