#include using namespace std; //* ATCODER #include using namespace atcoder; typedef modint998244353 mint; //*/ /* BOOST MULTIPRECISION #include using namespace boost::multiprecision; //*/ typedef long long ll; #define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++) #define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--) template bool chmin(T &a, const T &b) { if (a <= b) return false; a = b; return true; } template bool chmax(T &a, const T &b) { if (a >= b) return false; a = b; return true; } template T max(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]); return ret; } template T min(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]); return ret; } template T sum(vector &a){ T ret = 0; for (int i=0; i<(int)a.size(); i++) ret += a[i]; return ret; } int main(){ // n >= 7 ll n, m, k; cin >> n >> m >> k; vector c(k); // jump 1 time vector mat(60, vector(6, vector(6))); rep(i,0,5){ mat[0][i][i+1] = 1; } rep(i,0,6){ mat[0][5][i] = 1; } rep(num,0,59){ rep(i,0,6){ rep(j,0,6){ rep(k,0,6){ mat[num+1][i][j] += mat[num][i][k] * mat[num][k][j]; } } } } // jumpover! vector jumpover(6, vector(6)); rep(i,0,6){ vector dp(13); dp[i] = 1; rep(j,0,13){ if (j == 6) continue; rep(k,j-6,j){ if (k < 0) continue; dp[j] += dp[k]; } } rep(j,0,6){ jumpover[j][i] = dp[j+7]; } } // jump n-7 times, and jump one more time vector m_seni(30, vector(6, vector(6))); rep(i,0,6){ vector a(6); a[i] = 1; rep(num,0,30){ if ((n-7)>>num&1){ vector na(6); rep(x,0,6){ rep(y,0,6){ na[x] += mat[num][x][y] * a[y]; } } swap(a, na); } } vector na(6); rep(x,0,6){ rep(y,0,6){ na[x] += jumpover[x][y] * a[y]; } } swap(a, na); rep(x,0,6){ m_seni[0][x][i] = a[x]; } } rep(num,0,29){ rep(i,0,6){ rep(j,0,6){ rep(k,0,6){ m_seni[num+1][i][j] += m_seni[num][i][k] * m_seni[num][k][j]; } } } } // 最終局面:愚直!端にきているとする. vector last(6); rep(x,0,6){ vector dp(7); dp[x] = 1; rep(i,0,6){ rep(j,1,7){ dp[min(6,i+j)] += dp[i]; } } last[x] = dp[6]; } mint alls = 0; { vector a(6); a[5] = 1; rep(num,0,60){ if ((n*m-1)>>num&1){ vector na(6); rep(i,0,6){ rep(j,0,6){ na[i] += mat[num][i][j] * a[j]; } } swap(a, na); } } rep(i,0,6){ alls += a[i] * (i+1); } } auto solve = [&](ll x) -> mint { vector a(6); a[5] = 1; // 最初のジャンプまで rep(num,0,30){ if ((x-1)>>num&1){ vector na(6); rep(i,0,6){ rep(j,0,6){ na[i] += mat[num][i][j] * a[j]; } } swap(na, a); } } // ジャンプ! vector na(6); rep(x,0,6){ rep(y,0,6){ na[x] += jumpover[x][y] * a[y]; } } swap(a, na); // m-1 回ジャンプ rep(num,0,30){ if ((m-1)>>num&1){ vector na(6); rep(i,0,6){ rep(j,0,6){ na[i] += mat[num][i][j] * a[j]; } } swap(na, a); } } // 今の限界... i = c[i]+6 (mod n) // i = n-1 まで飛ぶ // n-7-c[i] // n-7-c[i] 回ジャンプ if (n-7-x < 0){ cout << "kita" << endl; ll f = x+7-n; a.resize(6-f); reverse(a.begin(), a.end()); rep(j,0,f)a.push_back(0); reverse(a.begin(), a.end()); }else{ rep(num,0,30){ if ((n-7-x)>>num&1){ vector na(6); rep(i,0,6){ rep(j,0,6){ na[i] += mat[num][i][j] * a[j]; } } swap(na, a); } } } mint ans = alls; rep(i,0,6){ ans -= a[i] * (i+1); } return ans; }; rep(i,0,k){ cin >> c[i]; cout << solve(c[i]).val() << '\n'; } }