#include #include #define rep(i,n) for(int i=0;i vi; typedef vector vl; typedef vector> vvi; typedef vector> vvl; typedef long double ld; typedef pair P; ostream& operator<<(ostream& os, const modint& a) {os << a.val(); return os;} template ostream& operator<<(ostream& os, const static_modint& a) {os << a.val(); return os;} template ostream& operator<<(ostream& os, const dynamic_modint& a) {os << a.val(); return os;} template istream& operator>>(istream& is, vector& v){int n = v.size(); assert(n > 0); rep(i, n) is >> v[i]; return is;} template ostream& operator<<(ostream& os, const pair& p){os << p.first << ' ' << p.second; return os;} template ostream& operator<<(ostream& os, const vector& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : " "); return os;} template ostream& operator<<(ostream& os, const vector>& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : ""); return os;} template ostream& operator<<(ostream& os, const set& se){for(T x : se) os << x << " "; os << "\n"; return os;} template ostream& operator<<(ostream& os, const unordered_set& se){for(T x : se) os << x << " "; os << "\n"; return os;} template ostream& operator<<(ostream& os, const atcoder::segtree& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;} template ostream& operator<<(ostream& os, const atcoder::lazy_segtree& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;} template void chmin(T& a, T b){a = min(a, b);} template void chmax(T& a, T b){a = max(a, b);} using mint = modint998244353; // https://youtu.be/ylWYSurx10A?t=2352 template struct Matrix : vector> { int h, w; Matrix(int h, int w, T val=0): vector>(h, vector(w, val)), h(h), w(w) {} Matrix(initializer_list> a) : vector>(a.begin(), a.end()){ assert(int(this->size()) >= 1); assert(int((*this)[0].size()) >= 1); h = this->size(); w = (*this)[0].size(); rep(i, h) assert(int((*this)[i].size()) == w); } Matrix& unit() { assert(h == w); rep(i,h) (*this)[i][i] = 1; return *this; } Matrix operator*=(const Matrix& M){ assert(w == M.h); Matrix r(h, M.w); rep(i,h) rep(k,w) rep(j, M.w){ r[i][j] += (*this)[i][k] * M[k][j]; } swap(*this, r); return *this; } Matrix operator*(const Matrix& M) const {return (Matrix(*this) *= M);} Matrix operator*=(const T& a) { for(int i = 0; i < h; i++) for(int j = 0; j < w; j++) (*this)[i][j] *= a; return *this; } Matrix operator*(const T& a) const {return (Matrix(*this) *= a);} Matrix operator+=(const Matrix& M){ assert(h == M.h and w == M.w); for(int i = 0; i < h; i++) for(int j = 0; j < w; j++) (*this)[i][j] += M[i][j]; return *this; } Matrix operator+(const Matrix& M) const {return (Matrix(*this) += M);} Matrix pow(long long t) const { assert(h == w); if (!t) return Matrix(h,h).unit(); if (t == 1) return *this; Matrix r = pow(t>>1);r = r*r; if (t&1) r = r*(*this); return r; } }; int main(){ long long n, m; int k; cin >> n >> m >> k; vector c(k); cin >> c; vector> f; rep(i, 7){ Matrix mat(6, 6); mat[0] = {1, 1, 1, 1, 1, 1}; rep(j, i) mat[0][j] = 0; mat[1] = {1, 0, 0, 0, 0, 0}; mat[2] = {0, 1, 0, 0, 0, 0}; mat[3] = {0, 0, 1, 0, 0, 0}; mat[4] = {0, 0, 0, 1, 0, 0}; mat[5] = {0, 0, 0, 0, 1, 0}; f.push_back(mat); } auto calc = [&](Matrix mat){ Matrix prod(6, 6); prod = prod.unit(); for(int x = 5; x >= 1; x--){ prod *= f[x]; } prod *= mat; mint res = 0; rep(i, 6) res += prod[i][0]; return res; }; mint tot = 0; { Matrix mat(6, 6); mat = mat.unit(); mat *= f[0].pow(n * m); tot = calc(mat); } Matrix g = (f[0].pow(n - 1) * f[6]).pow(m - 1); rep(i, k){ int x = c[i]; Matrix mat(6, 6); mat = mat.unit(); mat *= f[0].pow(n - x); mat *= f[6]; mat *= g; mat *= f[0].pow(x - 1); mint val = calc(mat); cout << tot - val << "\n"; } return 0; }