// #define _GLIBCXX_DEBUG #include #include #define rep(i,b) for(int i=0;i=0;i--) #define rep1(i,b) for(int i=1;i=x;i--) #define fore(i,a) for(auto i:a) #define fore1(i,a) for(auto &i:a) #define rng(x) (x).begin(), (x).end() #define rrng(x) (x).rbegin(), (x).rend() #define sz(x) ((int)(x).size()) #define pb push_back #define fi first #define se second using namespace std; using namespace atcoder; using ll = long long; template using mpq = priority_queue, greater>; template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (b ll sumv(const vector&a){ll res(0);for(auto&&x:a)res+=x;return res;} bool yn(bool a) { if(a) {cout << "Yes" << endl; return 1;} else {cout << "No" << endl; return 0;}} #define dame { cout << "No" << endl; return 0;} #define dame1 { cout << -1 << endl; return 0;} #define test(x) cout << "test" << x << endl; #define deb(x,y) cout << x << " " << y << endl; #define debp(p) cout << p.fi << " " << p.se << endl; #define deb3(x,y,z) cout << x << " " << y << " " << z << endl; #define deb4(x,y,z,x2) cout << x << " " << y << " " << z << " " << x2 << endl; #define out cout << ans << endl; #define outv fore(yans , ans) cout << yans << "\n"; #define show(x) cerr<<#x<<" = "<; using pil = pair; using pli = pair; using pii = pair; using tp = tuple; using vi = vector; using vl = vector; using vs = vector; using vb = vector; using vpii = vector; using vpli = vector; using vpll = vector; using vpil = vector; using vvi = vector>; using vvl = vector>; using vvs = vector>; using vvb = vector>; using vvpii = vector>; using vvpli = vector>; using vvpll = vector; using vvpil = vector; using mint = modint998244353; using vm = vector; using vvm = vector>; vector dx={1,0,-1,0,1,1,-1,-1},dy={0,1,0,-1,1,-1,1,-1}; ll gcd(ll a, ll b) { return a?gcd(b%a,a):b;} ll lcm(ll a, ll b) { return a/gcd(a,b)*b;} const double eps = 1e-10; const ll LINF = 1001002003004005006ll; const int INF = 1001001001; const int mod = 998244353; struct combination { vector fact, ifact; combination(int n):fact(n+1),ifact(n+1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n]*ifact[k]*ifact[n-k]; } } com(10000005); int main(){ int n,b,w; cin>>n>>b>>w; mint ans = 0; rep(one,n-b+1-w){ if ((n-b-one-w)%2 ==1) continue; int two = (n-b - one - w) / 2; if (one + two > b+1) continue; // deb(one , two); // assert(n+1-one >= two); // show(com(w + two-1 , w).val()); // show(com(b-1 , one).val()); // show(com(b-1-one , two).val()); if (w == 0 && two == 0) ans += com(b-1 , one) * com(b-1-one , two); else ans += com(w + two-1 , w) * com(b-1 , one) * com(b-1-one , two); // show(ans.val()); } mint tmp = 0; rep(one,n-b+1-w){ if ((n-b-one-w+1)%2 == 1) continue; int two = (n-b - one - w + 1) / 2; if (one + two > b+1) continue; // deb(one , two); // assert(n+1-one >= two); tmp += com(w + two-1 , w) * com(b-1 , one) * com(b-1-one , two-1); // show(tmp.val()); } ans += tmp * 2; tmp = 0; rep(one,n-b+1-w){ if ((n-b-one-w+2)%2 == 1) continue; int two = (n-b - one - w + 2) / 2; if (one + two > b+1) continue; // deb(one , two); // assert(n+1-one >= two); tmp += com(w + two-1 , w) * com(b-1 , one) * com(b-1-one , two-2); // show(tmp.val()); } ans += tmp; cout << ans.val() << endl; // 消せ!!!!!! #define _GLIBCXX_DEBUG // priority_queue でしぬ return 0; }