#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;} //------------------------------------------------------- const ll mo=998244353; int N,M; const int NUM_=400001; static ll fact[NUM_+1],factr[NUM_+1],inv[NUM_+1]; vector mult(vector A,vector B) { vector C(3); int a,b; FOR(a,3) FOR(b,3) (C[(a+b)%3]+=A[a]*B[b])%=mo; return C; } void solve() { int i,j,k,l,r,x,y; string s; 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; cin>>N>>M; ll ret=0; int a,b,c; for(a=0;a<=M;a++) for(b=0;a+b<=M;b++) { c=M-a-b; vector A={a,b,c},B={(2*b+c)%3==0,(2*b+c)%3==1,(2*b+c)%3==2}; x=N; while(x) { if(x%2) B=mult(A,B); A=mult(A,A); x/=2; } ll v=(mo+B[0]-B[1])*fact[M]%mo*factr[a]%mo*factr[b]%mo*factr[c]%mo; (ret+=v)%=mo; } FOR(i,M) ret=ret*(mo+1)/3%mo; cout<