# pragma GCC target("avx2") # pragma GCC optimize("O3") # pragma GCC optimize("unroll-loops") #include #include // cout, endl, cin #include // string, to_string, stoi #include // vector #include // min, max, swap, sort, reverse, lower_bound, upper_bound #include // pair, make_pair #include // tuple, make_tuple #include // int64_t, int*_t #include // printf #include // map #include // queue, priority_queue #include // set #include // stack #include // deque #include // unordered_map #include // unordered_set #include // bitset #include // isupper, islower, isdigit, toupper, tolower #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repi(i, a, b) for (int i = (int)(a); i < (int)(b); i++) #define endl '\n' #define all(x) (x).begin(),(x).end() #define arr(x) (x).rbegin(),(x).rend() typedef long long ll; typedef unsigned long long ull; const ll inf=4e18; using graph = vector > ; using vi=vector; using P= pair; using pii=pair; using pll=pair; using vvi=vector; using vvvi=vector; using vll=vector; using vvll=vector; using vvvll=vector; using vp=vector

; using vvp=vector; using vvvp=vector; using vd=vector; using vvd =vector; //using vs=vector; //string T="ABCDEFGHIJKLMNOPQRSTUVWXYZ"; //string S="abcdefghijklmnopqrstuvwxyz"; //g++ main.cpp -std=c++17 -I . //cout < bool chmin(T& a, T b) { if (a > b) { a = b; return true; } else return false; } template bool chmax(T& a, T b) { if (a < b) { a = b; return true; } else return false; } struct edge{ int to; ll cost;int id; edge(int to,ll cost,int id) : to(to),cost(cost),id(id) {} }; using ve=vector; using vve=vector; int mod=998244353; using mint=modint998244353; using vm=vector; using vvm=vector; using vvvm=vector; constexpr int MAX = 10001000; ll fact[MAX],finv[MAX],invv[MAX]; void initcomb(){ fact[0]=fact[1]=1; finv[0]=finv[1]=1; invv[1]=1; for(int i=2;i par, siz; UnionFind(int n) : par(n, -1) , siz(n, 1) { } int root(int x) { if (par[x] == -1) return x; else return par[x] = root(par[x]); } bool issame(int x, int y) { return root(x) == root(y); } bool unite(int x, int y) { x = root(x), y = root(y); if (x == y) return false; if (siz[x] < siz[y]) swap(x, y); par[y] = x; siz[x] += siz[y]; return true; } int size(int x) { return siz[root(x)]; } }; vll anss; void solve(int test){ ll n,m,k,l; cin >> n >> m >> k >> l; mint ans=0; repi(v1,l,m+1){ ll rem=max(0ll,m*k-v1); mint tot=0; for(int i=0; i<=n-1; i++){ mint now=1; now*=comb(n-1,i); now*=comb(rem-i*(m+1)+n-2,n-2); if(i%2)now*=-1; tot+=now; } mint tot2=0; for(int i=0; i<=n-1; i++){ mint now=1; now*=comb(n-1,i); now*=comb(rem-i*(v1+1)+n-2,n-2); if(i%2)now*=-1; tot2+=now; } // cout << tot.val() <<" " << tot2.val() << endl; ans+=tot-tot2; } cout << ans.val() << endl; } //cat cf.cpp | pbcopy //g++ cf.cpp -std=c++17 -I . int main(){cin.tie(0);ios::sync_with_stdio(false); initcomb(); int t=1;//cin >>t; rep(test,t)solve(test); for(auto ans:anss){ cout<< ans << endl; } }