#include #include #include using namespace atcoder; using mint = modint1000000007; using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf (long long)1000000000000000000 void solve(){ long long N,C; cin>>N>>C; vector y; for(long long i=1;i*i<=N;i++){ if(N%i==0){ y.push_back(i); if(i*i!=N)y.push_back(N/i); } } sort(y.rbegin(),y.rend()); vector cnt(y.size()); rep(i,y.size()){ cnt[i] = N / y[i]; rep(j,i){ if(y[j] % y[i] == 0)cnt[i] -= cnt[j]; } } mint ans = 0LL; ans += mint(C).pow(N); ans *= N; rep(i,cnt.size()){ mint temp = mint(C).pow(y[i]*2); temp *= cnt[i]; ans += temp; } ans /= N*2; cout<>_t; rep(_,_t){ solve(); } return 0; }