#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 #include #include #include #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep1(i, n) for (int i = 1; i <= (int)(n); i++) #define all(a) a.begin(), a.end() using namespace std; template inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } template std::ostream &operator<<(std::ostream &out, const pair &A) { cout << "{" << A.first << "," << A.second << "}"; return out; } template std::ostream &operator<<(std::ostream &out, const map &M) { for (const auto &A : M) { cout << "{" << A.first << "," << A.second << "}"; } return out; } template std::ostream &operator<<(std::ostream &out, const set &M) { cout << "{"; for (const auto &A : M) { cout << A << ", "; } cout << "}" << endl; return out; } template std::ostream &operator<<(std::ostream &out, const multiset &M) { cout << "{"; for (const auto &A : M) { cout << A << ", "; } cout << "}" << endl; return out; } template std::ostream &operator<<(std::ostream &out, const vector &A) { for (const T &a : A) { cout << a << " "; } return out; } void print() { cout << endl; } template void print(Head H, Tail... T) { cout << H << " "; print(T...); } template std::istream &operator>>(std::istream &in, vector &A) { for (T &a : A) { std::cin >> a; } return in; } using ll = long long; constexpr int INF = numeric_limits::max() / 2; constexpr ll LINF = numeric_limits::max() / 2; ll modpow(ll a, ll b, ll mod) { ll res = 1; while (b > 0) { if (b & 1) { res = res * a % mod; } a = a * a % mod; b >>= 1; } return res; } using mint = atcoder::modint998244353; mint sumlr(ll l, ll r) { // lからrまでの和 mint n = r - l + 1; mint ans = n * (mint(l) + mint(r)) / 2; return ans; } void solve() { /* int N = 100; int A = 3; vector dp(N + 1, INF); dp[N] = 0; for (int i = N - 1; i >= 1; i--) { chmin(dp[i], dp[i + 1] + 1); if (i * A <= N) chmin(dp[i], dp[i * A] + 1); } for (int i = 1; i <= N; i++) { cout << i << ": " << dp[i] << endl; } */ ll N, A; cin >> N >> A; if (A == 1) { cout << sumlr(1, N - 1).val() << endl; return; } mint sum = 0; // Aの倍数を探す ll n = N; ll cost = 0; // nのコスト while (n > 0) { // n以下でAの倍数を探す ll a = n / A; // a+1以上n以下のスコアを計算 // nのスコアは0 sum += sumlr(cost, cost + n - a - 1); cost = cost + n - a * A + 1; n = a; } cout << sum.val() << endl; } int main(void) { std::cin.tie(0)->sync_with_stdio(0); int T; cin >> T; while (T--) solve(); return 0; }