#include using namespace std; typedef long long ll; typedef pair pii; #define pb push_back #define all(a) a.begin(), a.end() #define sz(a) ((int)a.size()) #ifdef Doludu template ostream& operator << (ostream &o, vector vec) { o << "{"; int f = 0; for (T i : vec) o << (f++ ? " " : "") << i; return o << "}"; } void bug__(int c, auto ...a) { cerr << "\e[1;" << c << "m"; (..., (cerr << a << " ")); cerr << "\e[0m" << endl; } #define bug_(c, x...) bug__(c, __LINE__, "[" + string(#x) + "]", x) #define bug(x...) bug_(32, x) #define bugv(x...) bug_(36, vector(x)) #define safe bug_(33, "safe") #else #define bug(x...) void(0) #define bugv(x...) void(0) #define safe void(0) #endif const int mod = 998244353, N = 1000005; int add(int a, int b) { a += b; if (a >= mod) a -= mod; return a; } int sub(int a, int b) { a -= b; if (a < 0) a += mod; return a; } int mul(int a, int b) { return 1ll * a * b % mod; } int Pow(int a, int b) { int ans = 1; for (; b; b >>= 1, a = mul(a, a)) if (b & 1) ans = mul(ans, a); return ans; } int val[11][N]; void build() { for (int i = 1; i < N; ++i) { int now = 1; for (int k = 0; k <= 10; ++k) { val[k][i] = now; now = mul(now, i); } } for (int k = 1; k <= 10; ++k) { for (int i = 1; i < N; ++i) { for (int j = i + i; j < N; j += i) { val[k][j] = sub(val[k][j], val[k][i]); } } for (int i = 1; i < N; ++i) val[k][i] = add(val[k][i], val[k][i - 1]); } } void solve() { int n, m, k; cin >> n >> m >> k; int ans = 0; for (int l = 1; l <= m; ) { int now = m / l; int r = m / now + 1; ans = add(ans, mul(Pow(now, n), sub(val[k][r - 1], val[k][l - 1]))); l = r; } cout << ans << "\n"; } int main() { ios::sync_with_stdio(false), cin.tie(0); build(); int t; cin >> t; while (t--) { solve(); } }