#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; using pii = pair; using pll = pair; template using vc = vector; template using vvc = vector>; template using vvvc = vector>>; template using pq = priority_queue,greater>; template inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } template inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); } int dx4[] = {1,0,-1,0}; int dy4[] = {0,1,0,-1}; #define overload5(a, b, c, d, e, name, ...) name #define overload4(a, b, c, d, name, ...) name #define REP0(n) for(ll jidlsjf = 0; jidlsjf < n; ++jidlsjf) #define REP1(i, n) for(ll i = 0; i < (n); ++i) #define REP2(i, a, b) for(ll i = (a); i < (b); ++i) #define REP3(i, a, b, c) for(ll i = (a); i < (b); i += (c)) #define rep(...) overload4(__VA_ARGS__, REP3, REP2, REP1, REP0)(__VA_ARGS__) #define per0(n) for(int jidlsjf = 0; jidlsjf < (n); ++jidlsjf) #define per1(i, n) for(ll i = (n)-1; i >= 0; --i) #define per2(i, a, b) for(ll i = (a)-1; i >= b; --i) #define per3(i, a, b, c) for(ll i = (a)-1; i >= (b); i -= (c)) #define per(...) overload4(__VA_ARGS__, per3, per2, per1, per0)(__VA_ARGS__) #define setbits(j, n) for(ll iiiii = (n), j = lowbit(iiiii); iiiii; iiiii ^= 1 << j, j = lowbit(iiiii)) #define perm(v) for(bool permrepflag = true; (permrepflag ? exchange(permrepflag, false) : next_permutation(all(v)));) #define fi first #define se second #define pb push_back #define ppb pop_back #define ppf pop_front #define drop(s) cout << #s << endl, exit(0) #define si(c) (int)(c).size() #define lb(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define lbg(c, x) distance((c).begin(), lower_bound(all(c), (x), greater{})) #define ub(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define ubg(c, x) distance((c).begin(), upper_bound(all(c), (x), greater{})) #define rng(v, l, r) v.begin() + (l), v.begin() + (r) #define all(c) c.begin(), c.end() #define rall(c) c.rbegin(), c.rend() #define SORT(v) sort(all(v)) #define REV(v) reverse(all(v)) #define UNIQUE(x) SORT(x), x.erase(unique(all(x)), x.end()) #define MIN(v) *min_element(all(v)) #define MAX(v) *max_element(all(v)) #define overload2(_1, _2, name, ...) name #define vec(type, name, ...) vector name(__VA_ARGS__) #define vv(type, name, h, ...) vector> name(h, vector(__VA_ARGS__)) #define vvv(type, name, h, w, ...) vector>> name(h, vector>(w, vector(__VA_ARGS__))) constexpr int mod = 998244353; vector> Mul(vector> A,vector> B) { vector>ans(A.size(),vector(A.size())); for(int i = 0; i < A.size(); i++) { for(int j = 0; j < A.size(); j++) { for(int k = 0; k < A.size(); k++) { ans[i][j] += 1ll*A[i][k]*B[k][j]%mod; if(ans[i][j] >= mod) ans[i][j] -= mod; } } } return ans; } vector> Pow(vector> A,long long B) { vector>ans(A.size(),vector(A.size())); for(int i = 0; i < A.size(); i++) { ans[i][i] = 1; } while (B) { if(1 & B) { ans = Mul(ans,A); } A = Mul(A,A); B /= 2; } return ans; } void mpl(int &x,int y) { x += y; if(x >= mod) x -= mod; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n,m,k; cin >> n >> m >> k; vcC(k); rep(i,k) { cin >> C[i]; } vvcx(6,vc(6)); rep(i,6) { x[0][i] = 1; if(i) x[i][i-1] = 1; } x = Pow(x,1ll*n*m); int sum = 0; rep(i,6) { mpl(sum,x[0][i]); } rep(i,k) { vvcans(6,vc(6)); vvca(6,vc(6)); rep(i,6) { a[0][i] = 1; if(i) a[i][i-1] = 1; } a = Pow(a,C[i]); ans[0][0] = 1; ans = Mul(ans,a); ans[0][0] = 0; vvcb(6,vc(6)); rep(i,6) { b[0][i] = 1; if(i) b[i][i-1] = 1; } b = Pow(b,n); rep(i,6) { b[i][0] = 0; } b = Pow(b,m-1); ans = Mul(ans,b); vvcc(6,vc(6)); rep(i,6) { c[0][i] = 1; if(i) c[i][i-1] = 1; } c = Pow(c,n-C[i]); ans = Mul(ans,c); int fans = 0; rep(i,6) { mpl(fans,ans[0][i]); } fans = (sum+mod-fans)%mod; cout << fans << "\n"; } }