#include using namespace std; #define rep(i,m,n) for(int (i)=(int)(m);i<(int)(n);i++) #define rep2(i,m,n) for(int (i)=(int)(n)-1;i>=(int)(m);i--) #define REP(i,n) rep(i,0,n) #define REP2(i,n) rep2(i,0,n) #define FOR(i,c) for(decltype((c).begin())i=(c).begin();i!=(c).end();++i) #define all(hoge) (hoge).begin(),(hoge).end() #define en '\n' using ll = long long; using ull = unsigned long long; template using vec = vector; template using vvec = vector>; typedef pair P; constexpr long long INF = 1LL << 60; constexpr int INF_INT = 1 << 25; constexpr long long MOD = (ll) 1e9 + 7; //constexpr long long MOD = 998244353LL; typedef vector Array; typedef vector Matrix; template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } struct Edge { ll to, cap, rev; Edge(ll _to, ll _cap, ll _rev) { to = _to; cap = _cap; rev = _rev; } }; using Edges = vector; using Graph = vector; void add_edge(Graph& G, ll from, ll to, ll cap, bool revFlag, ll revCap) { G[from].push_back(Edge(to, cap, (ll)G[to].size())); if (revFlag)G[to].push_back(Edge(from, revCap, (ll)G[from].size() - 1)); } Matrix mIdentity(ll n) { Matrix A(n, Array(n)); for (int i = 0; i < n; ++i) A[i][i] = 1; return A; } Matrix mMul(const Matrix& A, const Matrix& B) { Matrix C(A.size(), Array(B[0].size())); for (int i = 0; i < C.size(); ++i) for (int j = 0; j < C[i].size(); ++j) for (int k = 0; k < A[i].size(); ++k) (C[i][j] += (A[i][k] % MOD) * (B[k][j] % MOD)) %= MOD; return C; } // O( n^3 log e ) Matrix mPow(const Matrix& A, ll e) { return e == 0 ? mIdentity(A.size()) : e % 2 == 0 ? mPow(mMul(A, A), e / 2) : mMul(A, mPow(A, e - 1)); } void solve(){ ll m,k; cin>>m>>k; Matrix a(m,Array(m,0)); REP(i,m){ REP(j,m){ ll y=(i+j)%m; a[y][i]++; y=(i*j)%m; a[y][i]++; } } Matrix f = mPow(a,k); Matrix dp(m,Array(1,0)); dp[0][0]=1; Matrix ans=mMul(f,dp); cout<>t;REP(i,t) solve(); return 0; }