/** * author: otera **/ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; typedef long double ld; const int inf=1e9+7; const ll INF=1LL<<60 ; const ll mod=1e9+7 ; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) typedef complex Point; const ld eps = 1e-8; const ld pi = acos(-1.0); typedef pair P; typedef pair LDP; typedef pair LP; #define fr first #define sc second #define all(c) c.begin(),c.end() #define pb push_back #define debug(x) cerr << #x << " = " << (x) << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } typedef vector vec; typedef vector mat; mat mul(mat& A, mat& B) { mat C(A.size(), vec(B[0].size(), 0)); for(int i = 0; i < A.size(); ++i) { for(int j = 0; j < B[0].size(); ++j) { for(int k = 0; k < B.size(); ++k) { C[i][j] = (C[i][j] + A[i][k] * B[k][j]) % mod; } } } return C; } mat pow(mat A, ll n) { mat B(A.size(), vec(A.size(), 0)); for(int i = 0; i < A.size(); ++i) { B[i][i] = 1LL; } while(n > 0) { if(n & 1) B = mul(B, A); A = mul(A, A); n >>= 1; } return B; } void solve() { int m, k; cin >> m >> k; mat A(m, vector(m, 0)); rep(i, m) { rep(j, m) { //i + j int x = (i + j) % m; A[x][i] += 1; //i * j x = (i * j) % m; A[x][i] += 1; } } A = pow(A, k); cout << A[0][0] << endl; } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(10); //int t; cin >> t; rep(i, t)solve(); solve(); return 0; }