/** author: shobonvip created: 2025.04.20 01:26:58 **/ #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--) #define all(v) v.begin(), v.end() 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; } const mint inv2 = mint(2).inv(); void solve() { ll n, a; cin >> n >> a; if (a == 1) { mint ans = mint(n) * mint(n-1) * inv2; cout << ans.val() << '\n'; return; } vector koho; vector costs; ll x = n; ll c = 0; while (x > 0) { koho.push_back(x); costs.push_back(c); c += x % a; c += 1; x /= a; } koho.push_back(0); mint ans = 0; rep(i,0,(int)koho.size()-1) { ll v = koho[i] - koho[i+1]; ans += mint(v) * mint(v-1) * inv2; ans += mint(v) * costs[i]; } cout << ans.val() << endl; } int main(){ ios_base::sync_with_stdio(false); cin.tie(NULL); int t; cin >> t; while (t--) { solve(); } }