#include #include #include #include #include #include #include #include #include #include #include #include #include #define getchar getchar_unlocked #define putchar putchar_unlocked #define _rep(_1, _2, _3, _4, name, ...) name #define rep2(i, n) rep3(i, 0, n) #define rep3(i, a, b) rep4(i, a, b, 1) #define rep4(i, a, b, c) for (int i = int(a); i < int(b); i += int(c)) #define rep(...) _rep(__VA_ARGS__, rep4, rep3, rep2, _)(__VA_ARGS__) using namespace std; using i64 = long long; using u8 = unsigned char; using u32 = unsigned; using u64 = unsigned long long; using f80 = long double; int get_int() { int c, n; while ((c = getchar()) < '0'); n = c - '0'; while ((c = getchar()) >= '0') n = n * 10 + (c - '0'); return n; } struct Mod64 { using u128 = __uint128_t; Mod64() : n_(0) {} Mod64(u64 n) : n_(init(n)) {} static void set_mod(u64 m) { shift = __builtin_ctzll(m); mask = (u64(1) << shift) - 1; mod = m >> shift; assert(mod & 1); inv = mod; rep(i, 5) inv *= 2 - inv * mod; assert(mod * inv == 1); r2 = -u128(mod) % mod; one = u64(1) << shift | 1; } static u64 modulus() { return mod << shift; } static u64 init(u64 x) { return reduce_odd(u128(x) * r2) << shift | (x & mask); } static u64 reduce_odd(u128 x) { u64 y = u64(x >> 64) - u64((u128(u64(x) * inv) * mod) >> 64); return i64(y) < 0 ? y + mod : y; } static u64 reduce(u64 x0, u64 x1) { u64 y = reduce_odd(u128(x0 >> shift) * (x1 >> shift)); return y << shift | ((x0 * x1) & mask); } Mod64& operator += (Mod64 rhs) { u64 hi = (n_ >> shift) + (rhs.n_ >> shift) - mod; if (i64(hi) < 0) hi += mod; n_ = hi << shift | ((n_ + rhs.n_) & mask); return *this; } Mod64& operator -= (Mod64 rhs) { u64 hi = (n_ >> shift) - (rhs.n_ >> shift); if (i64(hi) < 0) hi += mod; n_ = hi << shift | ((n_ - rhs.n_) & mask); return *this; } Mod64& operator *= (Mod64 rhs) { n_ = reduce(n_, rhs.n_); return *this; } Mod64 operator + (Mod64 rhs) const { return Mod64(*this) += rhs; } Mod64 operator - (Mod64 rhs) const { return Mod64(*this) -= rhs; } Mod64 operator * (Mod64 rhs) const { return Mod64(*this) *= rhs; } u64 get() const { u64 ret = reduce(n_, one); u64 r1 = ret >> shift; return mod * (((ret - r1) * inv) & mask) + r1; } void set(u64 n) { n_ = n; } Mod64 pow(u64 exp) const { Mod64 ret = Mod64(1); for (Mod64 base = *this; exp; exp >>= 1, base *= base) if (exp & 1) ret *= base; return ret; } Mod64 inverse() const { return pow(mod - 2); } friend ostream& operator << (ostream& os, const Mod64& m) { return os << m.get(); } static u64 mod, inv, r2, mask, one; static int shift; u64 n_; }; u64 Mod64::mod, Mod64::inv, Mod64::r2, Mod64::mask, Mod64::one; int Mod64::shift; template Mod fib(u64 n) { if (n <= 2) return Mod((n + 1) >> 1); Mod a = Mod(1), b = a; for (u64 mask = u64(1) << __lg(n >> 1); mask; mask >>= 1) { Mod t = a * a + b * b; if (n & mask) { b *= (a + a + b), a = t; } else { a *= (b + b - a), b = t; } } return a; } void solve() { u64 N, M; while (~scanf("%llu %llu", &N, &M)) { Mod64::set_mod(M); printf("%llu\n", fib(N - 1).get()); } } int main() { clock_t beg = clock(); solve(); clock_t end = clock(); fprintf(stderr, "%.3f sec\n", double(end - beg) / CLOCKS_PER_SEC); return 0; }