#define _USE_MATH_DEFINES #include using namespace std; //template #define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++) #define ALL(v) (v).begin(),(v).end() typedef long long int ll; const int inf = 0x3fffffff; const ll INF = 0x1fffffffffffffff; const double eps=1e-12; templateinline bool chmax(T& a,T b){if(ainline bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;} //end templatestruct fp { unsigned v; static unsigned get_mod(){return mod;} unsigned inv() const{ int tmp,a=v,b=mod,x=1,y=0; while(b)tmp=a/b,a-=tmp*b,swap(a,b),x-=tmp*y,swap(x,y); if(x<0){x+=mod;} return x; } fp():v(0){} fp(ll x):v(x>=0?x%mod:mod+(x%mod)){} fp operator-()const{return fp(-v);} fp pow(ll t){fp res=1,b=*this; while(t){if(t&1)res*=b;b*=b;t>>=1;} return res;} fp& operator+=(const fp& x){if((v+=x.v)>=mod)v-=mod; return *this;} fp& operator-=(const fp& x){if((v+=mod-x.v)>=mod)v-=mod; return *this;} fp& operator*=(const fp& x){v=ll(v)*x.v%mod; return *this;} fp& operator/=(const fp& x){v=ll(v)*x.inv()%mod; return *this;} fp operator+(const fp& x)const{return fp(*this)+=x;} fp operator-(const fp& x)const{return fp(*this)-=x;} fp operator*(const fp& x)const{return fp(*this)*=x;} fp operator/(const fp& x)const{return fp(*this)/=x;} bool operator==(const fp& x)const{return v==x.v;} bool operator!=(const fp& x)const{return v!=x.v;} }; using Fp=fp<>; templatestruct factorial { vector Fact,Finv,Inv; factorial(int maxx){ Fact.resize(maxx); Finv.resize(maxx); Inv.resize(maxx); Fact[0]=Fact[1]=Finv[0]=Finv[1]=Inv[1]=1; rep(i,2,maxx){Fact[i]=Fact[i-1]*i;} Finv[maxx-1]=Fact[maxx-1].inv(); for(int i=maxx-1;i>=2;i--){Finv[i-1]=Finv[i]*i; Inv[i]=Finv[i]*Fact[i-1];} } T fact(int n,bool inv=0){if(inv)return Finv[n];else return Fact[n];} T inv(int n){return Inv[n];} T nPr(int n,int r){if(n<0||nstruct NTT{ vector rt,irt; NTT(int lg=21){ const unsigned m=T(-1).v; T prt=p; rt.resize(1<>w),ig=g.inv(); for(int i=0;i& f,bool inv=0){ int n=f.size(); if(inv){ for(int i=1;i>1;i;i>>=1)for(int j=0;j conv(vector a,vector b,bool same){ if(a.empty() and b.empty())return vector(); int n=a.size()+b.size()-1,m=1; while(m ntt; inline vector multiply(vector a,vector b,bool same=0){return ntt.conv(a,b,same);}; factorial fact(201010); int main(){ int n,x,y; cin>>n>>x>>y; if(x>y)swap(x,y); int a=x,b=y-x,c=n-y; vector f(a),g(c); rep(i,0,a){ f[i]=fact.fact(i,1)*fact.fact(a-i-1,1); } rep(i,0,c){ g[i]=fact.fact(i,1)*fact.fact(c-i-1,1); } f=multiply(f,g); Fp res; rep(i,0,a+c-1){ res+=f[i]*fact.fact(i)*fact.fact(n-i-2); } res*=fact.fact(a)*fact.fact(c)*2; res+=(Fp(1LL*a*a)+Fp(1LL*b*b)+Fp(1LL*c*c))*fact.fact(n-1); cout<