#include using namespace std; #include typedef atcoder::modint998244353 mint; int main(){ long long n; cin >> n; long long k; cin >> k; mint ninv = mint(n).inv(); vector mat(60, vector(3, vector(3))); mat[0][0][0] = mint(3*n-2)*ninv; mat[0][0][1] = -mint(3*n-4)*ninv; mat[0][0][2] = mint(n-2)*ninv; mat[0][1][0] = 1; mat[0][2][1] = 1; for (int num=0; num<59; num++){ for (int i=0; i<3; i++){ for (int j=0; j<3; j++){ for (int k=0; k<3; k++){ mat[num+1][i][j] += mat[num][i][k] * mat[num][k][j]; } } } } vector a = {ninv, 0, 0}; for (int num=0; num<60; num++){ if (k >> num & 1){ vector na = {0, 0, 0}; for (int i=0; i<3; i++){ for (int j=0; j<3; j++){ na[i] += mat[num][i][j] * a[j]; } } a = na; } } cout << (a[2] + mint(n)).val() << endl; }