#include using namespace std; typedef signed long long ll; #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define FORR2(x,y,arr) for(auto& [x,y]:arr) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) template bool chmax(T &a, const T &b) { if(a bool chmin(T &a, const T &b) { if(a>b){a=b;return 1;}return 0;} //------------------------------------------------------- int N,M,K; const ll mo=998244353; ll dp[303][303][303]; //aまで考えたとき、b個選択済みで未確定がc個 ll P[303][303]; ll comb(int P_,int Q_) { static const int N_=1020; static ll C_[N_][N_]; if(C_[0][0]==0) { int i,j; FOR(i,N_) C_[i][0]=C_[i][i]=1; for(i=1;iN_ || Q_<0 || Q_>P_) return 0; return C_[P_][Q_]; } ll modpow(ll a, ll n = mo-2) { ll r=1;a%=mo; while(n) r=r*((n%2)?a:1)%mo,a=a*a%mo,n>>=1; return r; } ll starling2(ll n,ll k) { ll ret=0; ll fac=1; for(int m=1;m<=k;m++) { ll a=comb(k,m)*modpow(m,n)%mo; if((k-m)&1) ret+=mo-a; else ret+=a; fac=fac*m%mo; } return ret%mo*modpow(fac)%mo; } void solve() { int i,j,k,l,r,x,y; string s; for(i=1;i<=302;i++) { P[i][0]=1; for(j=1;j<=302;j++) P[i][j]=P[i][j-1]*i%mo; } cin>>N>>M>>K; dp[0][0][0]=1; for(i=1;i<=max(M,K)+1;i++) { FOR(x,i+1) for(y=0;y<=i+1;y++) if(dp[i-1][x][y]) { ll a=dp[i-1][x][y]; //1個も選ばない (dp[i][x][0]+=a*P[i][y+(i<=K)])%=mo; //1個以上選ぶ if(i<=M) { (dp[i][x+1][y+(i<=K)]+=a)%=mo; } } } ll ret=0; ll f=1; for(x=1;x<=N;x++) { f=f*x%mo; (ret+=dp[max(M,K)+1][x][0]*starling2(N,x)%mo*f)%=mo; } cout<