// https://yukicoder.me/problems/no/526 //#define _GLIBCXX_DEBUG #include using namespace std; #if __has_include() #include using namespace atcoder; // using mint = modint1000000007; // using mint = modint998244353; using mint = modint; // const int MOD = mint::mod(); #endif #ifdef LOCAL_DEBUG #define cout cout<<' ' #endif using ll = long long; template using pqg = priority_queue, greater>; // constexpr int MOD = (int)1e9 + 7; // constexpr int MOD = (int)998244353; constexpr int INF = (int)1e9 + 1001010; constexpr ll llINF = (ll)4e18 + 11000010; constexpr double PI = 3.14159265358979; constexpr double EPS = 1e-10; #define Isize(x) (int)(size(x)) #define ALL(x) (x).begin(),(x).end() #define RALL(x) (x).rbegin(),(x).rend() #define UNIQUE(x) (x).erase(unique(ALL(x)), (x).end()); #define endn "\n" #define SUM(v) accumulate(ALL(v), 0LL) #define MIN(v) *min_element(ALL(v)) #define MAX(v) *max_element(ALL(v)) #define popcount __builtin_popcount #define popcountll __builtin_popcountll template inline vector> vector2(const size_t &i, const size_t &j, const T &init = T()) { return vector>(i, vector(j, init)); } template inline vector>> vector3(const size_t &i, const size_t &j, const int &k, const T &init = T()) { return vector>>(i, vector>(j, vector(k, init))); } template inline vector>>> vector4(const size_t &i, const size_t &j, const size_t &k, const size_t &l, const T &init = T()) { return vector>>>(i, vector>>(j, vector>(k, vector(l, init)))); } const string VEC_ELEM_SEPARATION = " "; const string VEC_VEC_SEPARATION = endn; template istream & operator >> (istream &i, vector &A) {for(auto &I : A) {i >> I;} return i;} template ostream & operator << (ostream &o, const vector> &A) {int i=A.size(); for(auto &I : A){o << I << (--i ? VEC_VEC_SEPARATION : "");} return o;} template ostream & operator << (ostream &o, const vector &A) {int i=A.size(); for(auto &I : A){o << I << (--i ? VEC_ELEM_SEPARATION : "");} return o;} template ostream & operator << (ostream &o, const deque &A) {int i=A.size(); for(auto &I : A){o << I << (--i ? VEC_ELEM_SEPARATION : "");} return o;} template istream & operator >> (istream &i, pair &A) {i >> A.first >> A.second; return i;} template ostream & operator << (ostream &o, const pair &A) {o << A.first << " " << A.second; return o;} template istream & operator >> (istream &i, tuple&A) {i >> get<0>(A) >> get<1>(A) >> get<2>(A); return i;} template ostream & operator << (ostream &o, const tuple &A) {o << get<0>(A) << " " << get<1>(A) << " " << get<2>(A); return o;} template vector& operator ++(vector &A) {for(auto &I : A) {I++;} return A;} template vector& operator ++(vector &A, int n) {for(auto &I : A) {I++;} return A;} template vector& operator --(vector &A) {for(auto &I : A) {I--;} return A;} template vector& operator --(vector &A, int n) {for(auto &I : A) {I--;} return A;} template bool chmax(T &a, const U &b){return ((a < b) ? (a = b, true) : false);} template bool chmin(T &a, const U &b){return ((a > b) ? (a = b, true) : false);} ll floor(ll a, ll b){assert(b != 0); return((a%b != 0 && ((a>0) != (b>0))) ? a/b-1 : a/b);} ll ceil (ll a, ll b){assert(b != 0); return((a%b != 0 && ((a>0) == (b>0))) ? a/b+1 : a/b);} ll gcd(ll a, ll b){return ((b==0) ? a : gcd(b, a%b));} ll lcm(ll a, ll b){return a / gcd(a,b) * b;} bool is_in(ll n, ll inf, ll sup){return(inf <= n && n <= sup);} // ================================== ここまでテンプレ ================================== template class Matrix{ public: // コンストラクタ Matrix(int h_, int w_, T init = T()) : h(h_), w(w_), mat(vector>(h_, vector(w_, init))) {} Matrix(const vector> mat_) : h(mat_.size()), w(mat[0].size()), mat(mat_) {} Matrix(const Matrix &mat_) : h(mat_.h), w(mat_.w), mat(mat_.mat) {} // 添え字演算子のオーバーロード vector& operator [](int index){ assert(0 <= index && index < h); return mat[index]; } const vector operator [](int index)const{ assert(0 <= index && index < h); return mat[index]; } // イテレータ auto begin() {return mat.begin();} auto end() {return mat.end();} // 入出力ストリーム friend istream & operator >> (istream &i, Matrix &mat) {for(auto &I : mat) for(auto &J : I){i >> J;} return i;} friend ostream & operator << (ostream &o, const Matrix &A) {o << A.mat; return o;} // 単位行列 static Matrix identity(unsigned int n){ Matrix res(n, n, 0); for(int i=0; i identity(const Matrix &mat_like){ assert(mat_like.h == mat_like.w); return Matrix::identity(mat_like.h); } // 算術演算子のオーバーロード Matrix operator +(const Matrix &other) const { assert(h == other.h && w == other.w); Matrix res(h, w); for (int i = 0; i < h; ++i){ for (int j = 0; j < w; ++j){ res[i][j] = mat[i][j] + other[i][j]; } } return res; } Matrix operator -(const Matrix &other) const { assert(h == other.h && w == other.w); Matrix res(h, w); for (int i = 0; i < h; ++i){ for (int j = 0; j < w; ++j){ res[i][j] = mat[i][j] - other[i][j]; } } return res; } Matrix operator *(const Matrix &other) const { assert(w == other.h); Matrix res(h, other.w); for (int i = 0; i < h; ++i){ for (int j = 0; j < other.w; ++j){ for (int k = 0; k < w; ++k){ res[i][j] += mat[i][k] * other[k][j]; } } } return res; } // 行列累乗 Matrix pow(unsigned long long n) const{ assert(h == w); Matrix res = Matrix::identity(h); Matrix tmp = *this; while(n > 0){ if(n & 1) res = res * tmp; tmp = tmp * tmp; n >>= 1; } return res; } // メンバ変数 private: vector> mat; public: int h, w; }; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); ll n, m; cin >> n >> m; n--; mint::set_mod(m); Matrix a({{0, 1}, {1, 1}}); // Matrix b = Matrix(vector>{{0}, {1}}); Matrix b(vector>{{0}, {1}}); auto p = a.pow(n); b = p * b; mint ans = b[0][0]; cout << ans.val() << endl; return 0; }