#include #pragma GCC target("avx2") #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") //#include using namespace std; //using namespace boost::multiprecision; #include using namespace atcoder; using dou =long double; string yes="yes"; string Yes="Yes"; string YES="YES"; string no="no"; string No="No"; string NO="NO"; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } typedef long long ll; typedef pair P; typedef pair PL; //const ll mod = 998244353ll; const ll mod = 1000000007ll; //const ll mod = 4; struct mint { ll x; // typedef long long ll; mint(ll x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } // for prime modhttps://atcoder.jp/contests/abc166/submit?taskScreenName=abc166_f mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) const { return mint(*this) /= a;} }; istream& operator>>(istream& is, const mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} #define rep(i, n) for(ll i = 0; i < (ll)(n); i++) //#define rep(i, n) for(int i = 0; i < (int)(n); i++) #define brep(n) for(int bit=0;bit<(1<= (ll)0ll; i--) #define rrep(i,m,n) for(ll i = m; i < (ll)(n); i++) #define reprep(i,j,h,w) rep(i,h)rep(j,w) #define repreprep(i,j,k,h,w,n) rep(i,h)rep(j,w)rep(k,n) #define all(x) (x).begin(),(x).end() #define rall(x) (x).rbegin(),(x).rend() #define VEC(type,name,n) std::vector name(n);rep(i,n)std::cin >> name[i]; #define pb push_back #define pf push_front #define query int qq;std::cin >> qq;rep(qqq,qq) #define lb lower_bound #define ub upper_bound #define fi first #define se second #define itn int #define mp make_pair //#define sum(a) accumulate(all(a),0ll) #define keta fixed< > name(m,vector (n,a)) //#define vvector(name,typ,m,n)vector > name(m,vector (n)) #define vvvector(name,t,l,m,n,a) vector > > name(l, vector >(m, vector(n,a))); #define vvvvector(name,t,k,l,m,n,a) vector > > > name(k,vector > >(l, vector >(m, vector(n,a)) )); #define case std::cout <<"Case #" <> a>>b;a--;b--; #define popcount __builtin_popcount #define permu(a) next_permutation(all(a)) #define aru(a,d) a.find(d)!=a.end() #define nai(a,d) a.find(d)==a.end() //#define aru p.find(mp(x,y))!=p.end() //#define grid_input(a,type) int h,w;std::cin >> h>>w;vvector(a,type,h,w,0);reprep(i,j,h,w)std::cin >> a[i][j]; //typedef long long T; ll ceili(ll a,ll b){ return ((a+b-1)/b); } const int INF = 2000000000; const ll INF64 =32233720854775807ll; //const ll INF64 = 9223372036854775807ll; //const ll INF64 = 243'000'000'000'000'000'0;Q const ll MOD = 1000000007ll; //const ll MOD = 998244353ll; //const ll MOD = 1000003ll; const ll OD = 1000000000000007ll; const dou pi=3.141592653589793; long long modpow(long long a, long long n) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % MOD; a = a * a % MOD; n >>= 1; } return res; } //メモ //ゲーム(Grundy数とか)の復習をする //リスニング力をどうにかする //個数制限付きナップサックの復習 //戻すDP //全方位木DPとスライド最小値 //学会しゃべる練習をする //llig 連続写真の三枚目を使ったほうがわかりやすいかも! //自分の新規性の強調 //ゲーム→パリティに注目するといいことあるかも //数え上げ Strivore→文字列 T が与えられるので、操作によって文字列 T を作ることができるかどうかを判定せよ //bool dp[5010][32768]; template< class T > struct Matrix { vector< vector< T > > A; Matrix() {} Matrix(size_t n, size_t m) : A(n, vector< T >(m, 0)) {} Matrix(size_t n) : A(n, vector< T >(n, 0)) {}; size_t height() const { return (A.size()); } size_t width() const { return (A[0].size()); } inline const vector< T > &operator[](int k) const { return (A.at(k)); } inline vector< T > &operator[](int k) { return (A.at(k)); } static Matrix I(size_t n) { Matrix mat(n); for(int i = 0; i < n; i++) mat[i][i] = 1; return (mat); } Matrix &operator+=(const Matrix &B) { size_t n = height(), m = width(); assert(n == B.height() && m == B.width()); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) (*this)[i][j] += B[i][j]; return (*this); } Matrix &operator-=(const Matrix &B) { size_t n = height(), m = width(); assert(n == B.height() && m == B.width()); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) (*this)[i][j] -= B[i][j]; return (*this); } Matrix &operator*=(const Matrix &B) { size_t n = height(), m = B.width(), p = width(); assert(p == B.height()); vector< vector< T > > C(n, vector< T >(m, 0)); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) for(int k = 0; k < p; k++) C[i][j] = (C[i][j] + (*this)[i][k] * B[k][j]); A.swap(C); return (*this); } Matrix &operator^=(long long k) { Matrix B = Matrix::I(height()); while(k > 0) { if(k & 1) B *= *this; *this *= *this; k >>= 1LL; } A.swap(B.A); return (*this); } Matrix operator+(const Matrix &B) const { return (Matrix(*this) += B); } Matrix operator-(const Matrix &B) const { return (Matrix(*this) -= B); } Matrix operator*(const Matrix &B) const { return (Matrix(*this) *= B); } Matrix operator^(const long long k) const { return (Matrix(*this) ^= k); } friend ostream &operator<<(ostream &os, Matrix &p) { size_t n = p.height(), m = p.width(); for(int i = 0; i < n; i++) { os << "["; for(int j = 0; j < m; j++) { os << p[i][j] << (j + 1 == m ? "]\n" : ","); } } return (os); } T determinant() { Matrix B(*this); assert(width() == height()); T ret = 1; for(int i = 0; i < width(); i++) { int idx = -1; for(int j = i; j < width(); j++) { if(B[j][i] != 0) idx = j; } if(idx == -1) return (0); if(i != idx) { ret *= -1; swap(B[i], B[idx]); } ret *= B[i][i]; T vv = B[i][i]; for(int j = 0; j < width(); j++) { B[i][j] /= vv; } for(int j = i + 1; j < width(); j++) { T a = B[j][i]; for(int k = 0; k < width(); k++) { B[j][k] -= B[i][k] * a; } } } return (ret); } }; int main(){ int n,m; std::cin >> n>>m; modint::set_mod(m); //std::vector> a; //RES(a,2,2); std::vector v{0,1,1}; if(n<=3){ std::cout << v[n-1] << std::endl; } else{ Matrix ma(2,2); ma[0][0]=1; ma[0][1]=1; ma[1][0]=1; ma^=n-3; //ppri(ma[0][0].val(),ma[1][0].val()); modint ans=ma[0][0]+ma[1][0]; std::cout << ans.val() << std::endl; } }