#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 N,M,K; const ll mo=998244353; const int MAT=6; struct Mat { ll v[MAT][MAT]; Mat(){ZERO(v);};}; 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; } map memo; Mat A,B; ll pat(ll v) { if(v<0) return 0; if(memo.count(v)) return memo[v]; auto B=powmat(v,A); return memo[v]=B.v[0][0]; } void solve() { int i,j,k,l,r,x,y; string s; A.v[0][0]=A.v[0][1]=A.v[0][2]=A.v[0][3]=A.v[0][4]=A.v[0][5]=1; A.v[1][0]=A.v[2][1]=A.v[3][2]=A.v[4][3]=A.v[5][4]=1; cin>>N>>M>>K; //合計を求める ll sum=0; FOR(i,6) { ll p=pat(1LL*N*M-6+i); for(k=1;k<=6;k++) if(1LL*N*M-6+i+k>=1LL*N*M) sum+=p; } sum%=mo; FOR(i,5) { // 1周の手前jマス FOR(j,5) { ll a=pat(N-5+j-(i+1)); for(k=1;k<=6;k++) if(N-5+j+k>N) { (B.v[(N-5+j+k)-(N+1)][i]+=a)%=mo; } } } B=powmat(M-1,B,5); while(K--) { cin>>k; ll p[6]={}; FOR(j,5) { ll a=pat(k-5+j); //cout<k) (p[(k-5+j+i)-(k+1)]+=a)%=mo; } //FOR(j,5) cout<<"#"<=N) { ret+=q[x]; } else { FOR(y,6) (p[y]+=q[x]*pat((N-6+y)-(k+1+x)))%=mo; } } FOR(y,6) for(x=1;x<=6;x++) if(y+x>=6) ret+=p[y]; cout<<(sum-ret%mo+mo)%mo<