#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;} //------------------------------------------------------- ll K,L,R; const ll mo=998244353; const int MAT=202; struct Mat { ll v[MAT][MAT]; Mat(){ZERO(v);};}; ll comb(ll N_, ll C_) { const int NUM_=400001; static ll fact[NUM_+1],factr[NUM_+1],inv[NUM_+1]; if (fact[0]==0) { inv[1]=fact[0]=factr[0]=1; for (int i=2;i<=NUM_;++i) inv[i] = inv[mo % i] * (mo - mo / i) % mo; for (int i=1;i<=NUM_;++i) fact[i]=fact[i-1]*i%mo, factr[i]=factr[i-1]*inv[i]%mo; } if(C_<0 || C_>N_) return 0; return factr[C_]*fact[N_]%mo*factr[N_-C_]%mo; } Mat mulmat(Mat& a,Mat& b,int n=MAT) { ll mo2=4*mo*mo; int x,y,z; Mat r; FOR(x,n) FOR(y,n) r.v[x][y]=0; FOR(x,n) FOR(z,n) FOR(y,n) { r.v[x][y] += a.v[x][z]*b.v[z][y]; if(r.v[x][y]>mo2) r.v[x][y] -= mo2; } FOR(x,n) FOR(y,n) r.v[x][y]%=mo; return r; } Mat powmat(ll p,Mat a,int n=MAT) { int i,x,y; Mat r; FOR(x,n) FOR(y,n) r.v[x][y]=0; FOR(i,n) r.v[i][i]=1; while(p) { if(p%2) r=mulmat(r,a,n); a=mulmat(a,a,n); p>>=1; } return r; } ll hoge(ll v) { if(v<0) return 0; int i,j; Mat A; // a(n+1)=K*a(n); A.v[0][0]=K; // S(n+1)=S(n)+K*a(n) A.v[K+3][0]=K; A.v[K+3][K+3]=1; // n^0,n^1,n^2,n^3... for(i=0;i<=K;i++) { for(j=0;j<=i;j++) { A.v[i+1][j+1]=comb(i,j); } } // a(n+1)+=n^K; A.v[0][K+1]=A.v[K+3][K+1]=1; // K^(n+1) = K*(K^n) A.v[K+2][K+2]=K; // a(n+1)+=(K^n); A.v[0][K+2]=A.v[K+3][K+2]=1; A=powmat(v,A,K+4); return A.v[K+3][0]+A.v[K+3][1]+A.v[K+3][K+3]+A.v[K+3][K+2]; } void solve() { int i,j,k,l,r,x,y; string s; cin>>K>>L>>R; ll ret=hoge(R)-hoge(L-1); cout<<(ret%mo+mo)%mo<