#include #include using namespace std; using namespace atcoder; using mint = modint1000000007; const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; //const bool debug = false; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } long long gcd(long long a, long long b) { if (b == 0) return a; else return gcd(b, a%b); } vector f(long long n) { vector x; for (long long i = 1; i*i <= n; i++) { if (0 == n % i) { x.push_back(i); if (n != i * i) x.push_back(n / i); } } return x; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t; cin >> t; while (t--) { int n, c; cin >> n >> c; mint ans = 0; auto v = f(n); vector

vp(v.size()); rep(i, v.size())vp[i] = { v[i],n / v[i] }; sort(all(vp)); rrep(i, vp.size()) { rrep(j, i) if (0 == vp[i].first%vp[j].first)vp[j].second -= vp[i].second; ans += pow_mod(c, 2 * vp[i].first, mod) * vp[i].second; } ans += pow_mod(c, n, mod)*n; ans /= (n * 2); cout << ans.val() << endl; } return 0; }