#include <stdio.h> #include <atcoder/all> #include <bits/stdc++.h> using namespace std; using namespace atcoder; using mint = modint998244353; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf 1000000000000 struct combi{ deque<mint> kaijou; deque<mint> kaijou_; combi(int n){ kaijou.push_back(1); for(int i=1;i<=n;i++){ kaijou.push_back(kaijou[i-1]*i); } mint b=kaijou[n].inv(); kaijou_.push_front(b); for(int i=1;i<=n;i++){ int k=n+1-i; kaijou_.push_front(kaijou_[0]*k); } } mint combination(int n,int r){ if(r>n)return 0; mint a = kaijou[n]*kaijou_[r]; a *= kaijou_[n-r]; return a; } mint junretsu(int a,int b){ mint x = kaijou_[a]*kaijou_[b]; x *= kaijou[a+b]; return x; } mint catalan(int n){ return combination(2*n,n)/(n+1); } }; int main() { int N,B,W; cin>>N>>B>>W; combi C(1000000); mint ans = 0; rep(i,2){ rep(j,2){ for(int k=0;k<=B-1;k++){ int r = N-B; r -= i; r -= j; r -= k*2; r -= W; if(r<0)continue; if(B-1-k<r)continue; mint t = C.combination(B-1-k,r); t *= C.combination(B-1,k); int X = W; int Y = i + j + k; if(X==0&&Y==0){ } else if(Y!=0){ t *= C.junretsu(X,Y-1); } else t = 0; //cout<<i<<','<<j<<','<<k<<','<<t.val()<<endl; ans += t; } } } cout<<ans.val()<<endl; return 0; }