#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(x, s, t) for(llint (x) = (s); (x) <= (t); (x)++) #define reps(x, s) for(llint (x) = 0; (x) < (llint)(s).size(); (x)++) #define chmin(x, y) (x) = min((x), (y)) #define chmax(x, y) (x) = max((x), (y)) #define ceildiv(x, y) (((x)+(y)-1) / (y)) #define all(x) (x).begin(),(x).end() #define outl(x) cout << x << endl #define SP << " " << #define inf 1e18 #define mod 998244353 using namespace std; typedef long long llint; typedef long long ll; typedef pair P; bool exceed(ll x, ll y, ll m){return x >= m / y + 1;} const int FACT_MAX = 10000005; llint fact[FACT_MAX], fact_inv[FACT_MAX]; llint modpow(llint a, llint n) { if(n == 0) return 1; if(n % 2){ return ((a%mod) * (modpow(a, n-1)%mod)) % mod; } else{ return modpow((a*a)%mod, n/2) % mod; } } void make_fact() { llint val = 1; fact[0] = 1; for(int i = 1; i < FACT_MAX; i++){ val *= i; val %= mod; fact[i] = val; } fact_inv[FACT_MAX-1] = modpow(fact[FACT_MAX-1], mod-2); for(int i = FACT_MAX-2; i >= 0; i--){ fact_inv[i] = fact_inv[i+1] * (i+1) % mod; } } llint comb(llint n, llint k) { llint ret = 1; ret *= fact[n]; ret *= fact_inv[k], ret %= mod; ret *= fact_inv[n-k], ret %= mod; return ret; } ll n, m, k; int main(void) { ios::sync_with_stdio(0); cin.tie(0); make_fact(); cin >> n >> m >> k; ll c = min(min((n+1)/k,m/k), n+1-m); ll ans = 0; rep(i, 1, c){ ll tmp = fact[n+1-i*k] * fact_inv[m-i*k] % mod * fact_inv[n+1-m-i] % mod * fact_inv[i] % mod; if(n-i*k >= 0 && m-1-i*k >= 0) tmp += mod - fact[n-i*k] * fact_inv[m-1-i*k] % mod * fact_inv[n+1-m-i] % mod * fact_inv[i] % mod, tmp %= mod; if(i % 2) ans += tmp, ans %= mod; else ans += mod - tmp, ans %= mod; } cout << ans << endl; return 0; }