#include using namespace std; using ll = long long; const ll MOD = 998244353; ll modmul(ll a, ll b) { return (a % MOD) * (b % MOD) % MOD; } ll modadd(ll a, ll b) { return (a + b) % MOD; } ll dfs(ll n, ll a, map& memo) { if (memo.count(n)) return memo[n]; if (n == 1) return 0; ll res = 0; if (a == 1) { res = modmul(n % MOD, (n - 1) % MOD); res = modmul(res, (MOD + 1) / 2); return memo[n] = res; } ll next = (n - 1) / a * a; ll count = n - next; ll add_sum = modmul(count % MOD, ((count - 1 + MOD) % MOD) * ((MOD + 1) / 2) % MOD); add_sum = modadd(add_sum, modmul(count % MOD, dfs(next, a, memo))); return memo[n] = add_sum % MOD; } int main() { int T; cin >> T; while (T--) { ll N, A; cin >> N >> A; map memo; cout << dfs(N, A, memo) << endl; } }