#include using namespace std; typedef long long signed int LL; typedef long long unsigned int LU; #define incID(i, l, r) for(int i = (l) ; i < (r); i++) #define incII(i, l, r) for(int i = (l) ; i <= (r); i++) #define decID(i, l, r) for(int i = (r) - 1; i >= (l); i--) #define decII(i, l, r) for(int i = (r) ; i >= (l); i--) #define inc(i, n) incID(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec(i, n) decID(i, 0, n) #define dec1(i, n) decII(i, 1, n) #define inII(v, l, r) ((l) <= (v) && (v) <= (r)) #define inID(v, l, r) ((l) <= (v) && (v) < (r)) #define PB push_back #define EB emplace_back #define MP make_pair #define FI first #define SE second #define PQ priority_queue #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define FOR(it, v) for(auto it = v.begin(); it != v.end(); ++it) #define RFOR(it, v) for(auto it = v.rbegin(); it != v.rend(); ++it) template bool setmin(T & a, T b) { if(b < a) { a = b; return true; } else { return false; } } template bool setmax(T & a, T b) { if(b > a) { a = b; return true; } else { return false; } } template bool setmineq(T & a, T b) { if(b <= a) { a = b; return true; } else { return false; } } template bool setmaxeq(T & a, T b) { if(b >= a) { a = b; return true; } else { return false; } } template T gcd(T a, T b) { return (b == 0 ? a : gcd(b, a % b)); } template T lcm(T a, T b) { return a / gcd(a, b) * b; } // ---- ---- template struct Matrix { vector> a; Matrix(const vector> & v = { }) { init(v); } void init(const vector> & v) { a = vector>(N, vector(N, 0)); assert(v.size() <= N); inc(i, v.size()) { assert(v[i].size() <= N); inc(j, v[i].size()) { a[i][j] = v[i][j]; } } } vector & operator[](int i) { return a[i]; } Matrix id() { Matrix e; inc(i, N) { e[i][i] = 1; } return e; } Matrix tp() { Matrix b; inc(i, N) { inc(j, N) { b[j][i] = a[i][j]; } } return b; } Matrix & operator+=(const Matrix & b) { inc(i, N) { inc(j, N) { a[i][j] += b.a[i][j]; } } return (*this); } Matrix & operator*=(T b) { inc(i, N) { inc(j, N) { a[i][j] *= b; } } return (*this); } Matrix & operator*=(const Matrix & b) { Matrix c; inc(i, N) { inc(j, N) { inc(k, N) { c[i][j] += a[i][k] * b.a[k][j]; } } } return (*this) = c; } Matrix & operator^=(LU b) { Matrix t[64], c = id(); int D = 64; inc(i, D) { if((b >> i) == 0) { D = i; break; } } inc(i, D) { t[i] = (i == 0 ? (*this) : t[i - 1] * t[i - 1]); } inc(i, D) { if((b >> i) & 1) { c *= t[i]; } } return (*this) = c; } Matrix operator+(const Matrix & b) const { Matrix c = a; return c += b; } Matrix operator*( T b) const { Matrix c = a; return c *= b; } Matrix operator*(const Matrix & b) const { Matrix c = a; return c *= b; } Matrix operator^( LU b) const { Matrix c = a; return c ^= b; } }; template Matrix operator*(T a, const Matrix & b) { return b * a; } template ostream & operator<<(ostream & os, const Matrix & m) { inc(i, N) { inc(j, N) { os << m.a[i][j] << " "; } os << endl; } return os; } // ---- ---- template class ModInt { private: LL v; static LL m; public: ModInt(LL vv = 0) { setval(vv); } ModInt & setval(LL vv) { v = vv % m; if(v < 0) { v += m; } return (*this); } static void setmod(LL mm) { m = mm; } LL getval() const { return v; } ModInt & operator+=(const ModInt & b) { return setval(v + b.v); } ModInt & operator-=(const ModInt & b) { return setval(v - b.v); } ModInt & operator*=(const ModInt & b) { return setval(v * b.v); } ModInt & operator/=(const ModInt & b) { return setval(v * b.inv()); } ModInt & operator^=( LU b) { return setval(ex(v, b)); } ModInt operator+ ( ) const { return ModInt(+v); } ModInt operator- ( ) const { return ModInt(-v); } ModInt operator+ (const ModInt & b) const { return ModInt(v + b.v); } ModInt operator- (const ModInt & b) const { return ModInt(v - b.v); } ModInt operator* (const ModInt & b) const { return ModInt(v * b.v); } ModInt operator/ (const ModInt & b) const { return ModInt(v * b.inv()); } ModInt operator^ ( LU b) const { return ModInt(ex(v, b)); } LL inv() const { LL x = (ex_gcd(v, m).FI + m) % m; assert(x * v % m == 1); return x; } LL ex(LL a, LU b) const { LL D = 64, x[64], y = 1; inc(i, D) { if((b >> i) == 0) { D = i; break; } } inc(i, D) { x[i] = (i == 0 ? a : x[i - 1] * x[i - 1]) % m; } inc(i, D) { if((b >> i) & 1) { (y *= x[i]) %= m; } } return y; } pair ex_gcd(LL a, LL b) const { if(b == 0) { return MP(1, 0); } auto p = ex_gcd(b, a % b); return MP(p.SE, p.FI - (a / b) * p.SE); } }; template LL ModInt::m; template ModInt operator+(LL a, const ModInt & b) { return b + a; } template ModInt operator-(LL a, const ModInt & b) { return -b + a; } template ModInt operator*(LL a, const ModInt & b) { return b * a; } template ModInt operator/(LL a, const ModInt & b) { return a * b.inv(); } template istream & operator>>(istream & is, ModInt & b) { LL v; is >> v; b.setval(v); return is; } template ostream & operator<<(ostream & os, const ModInt & b) { return (os << b.getval()); } // ---- ---- int main() { int n, m; cin >> n >> m; n--; ModInt<0>::setmod(m); cout << (Matrix, 2>({ {1, 1}, {1, 0} }) ^ n)[0][1] << endl; return 0; }