#pragma GCC optimize(1) #pragma GCC optimize(2) #pragma GCC optimize(3) #pragma GCC optimize("Ofast") #pragma GCC optimize("inline") #pragma GCC optimize("-fgcse") #pragma GCC optimize("-fgcse-lm") #pragma GCC optimize("-fipa-sra") #pragma GCC optimize("-ftree-pre") #pragma GCC optimize("-ftree-vrp") #pragma GCC optimize("-fpeephole2") #pragma GCC optimize("-ffast-math") #pragma GCC optimize("-fsched-spec") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("-falign-jumps") #pragma GCC optimize("-falign-loops") #pragma GCC optimize("-falign-labels") #pragma GCC optimize("-fdevirtualize") #pragma GCC optimize("-fcaller-saves") #pragma GCC optimize("-fcrossjumping") #pragma GCC optimize("-fthread-jumps") #pragma GCC optimize("-funroll-loops") #pragma GCC optimize("-fwhole-program") #pragma GCC optimize("-freorder-blocks") #pragma GCC optimize("-fschedule-insns") #pragma GCC optimize("inline-functions") #pragma GCC optimize("-ftree-tail-merge") #pragma GCC optimize("-fschedule-insns2") #pragma GCC optimize("-fstrict-aliasing") #pragma GCC optimize("-fstrict-overflow") #pragma GCC optimize("-falign-functions") #pragma GCC optimize("-fcse-skip-blocks") #pragma GCC optimize("-fcse-follow-jumps") #pragma GCC optimize("-fsched-interblock") #pragma GCC optimize("-fpartial-inlining") #pragma GCC optimize("no-stack-protector") #pragma GCC optimize("-freorder-functions") #pragma GCC optimize("-findirect-inlining") #pragma GCC optimize("-frerun-cse-after-loop") #pragma GCC optimize("inline-small-functions") #pragma GCC optimize("-finline-small-functions") #pragma GCC optimize("-ftree-switch-conversion") #pragma GCC optimize("-foptimize-sibling-calls") #pragma GCC optimize("-fexpensive-optimizations") #pragma GCC optimize("-funsafe-loop-optimizations") #pragma GCC optimize("inline-functions-called-once") #pragma GCC optimize("-fdelete-null-pointer-checks") #pragma G++ optimize(1) #pragma G++ optimize(2) #pragma G++ optimize(3) #pragma G++ optimize("Ofast") #pragma G++ optimize("inline") #pragma G++ optimize("-fgcse") #pragma G++ optimize("-fgcse-lm") #pragma G++ optimize("-fipa-sra") #pragma G++ optimize("-ftree-pre") #pragma G++ optimize("-ftree-vrp") #pragma G++ optimize("-fpeephole2") #pragma G++ optimize("-ffast-math") #pragma G++ optimize("-fsched-spec") #pragma G++ optimize("unroll-loops") #pragma G++ optimize("-falign-jumps") #pragma G++ optimize("-falign-loops") #pragma G++ optimize("-falign-labels") #pragma G++ optimize("-fdevirtualize") #pragma G++ optimize("-fcaller-saves") #pragma G++ optimize("-fcrossjumping") #pragma G++ optimize("-fthread-jumps") #pragma G++ optimize("-funroll-loops") #pragma G++ optimize("-fwhole-program") #pragma G++ optimize("-freorder-blocks") #pragma G++ optimize("-fschedule-insns") #pragma G++ optimize("inline-functions") #pragma G++ optimize("-ftree-tail-merge") #pragma G++ optimize("-fschedule-insns2") #pragma G++ optimize("-fstrict-aliasing") #pragma G++ optimize("-fstrict-overflow") #pragma G++ optimize("-falign-functions") #pragma G++ optimize("-fcse-skip-blocks") #pragma G++ optimize("-fcse-follow-jumps") #pragma G++ optimize("-fsched-interblock") #pragma G++ optimize("-fpartial-inlining") #pragma G++ optimize("no-stack-protector") #pragma G++ optimize("-freorder-functions") #pragma G++ optimize("-findirect-inlining") #pragma G++ optimize("-frerun-cse-after-loop") #pragma G++ optimize("inline-small-functions") #pragma G++ optimize("-finline-small-functions") #pragma G++ optimize("-ftree-switch-conversion") #pragma G++ optimize("-foptimize-sibling-calls") #pragma G++ optimize("-fexpensive-optimizations") #pragma G++ optimize("-funsafe-loop-optimizations") #pragma G++ optimize("inline-functions-called-once") #pragma G++ optimize("-fdelete-null-pointer-checks") #include using namespace std; typedef long long ll; const int MAXN = 2e5 + 5; const int MOD = 998244353; ll fac[MAXN], inv[MAXN]; ll qpow(ll a, ll b, ll mod) { ll res = 1; while(b) { if(b & 1) res = res * a % mod; a = a * a % mod; b >>= 1; } return res; } void init(int p) { fac[0] = 1; for(int i = 1; i <= p; ++i) fac[i] = fac[i - 1] * i % p; inv[p - 1] = qpow(fac[p - 1], p - 2, p); for(int i = p - 2; i >= 0; --i) inv[i] = inv[i + 1] * (i + 1) % p; } ll C(ll n, ll m, ll p) { if(m > n || m < 0) return 0; return fac[n] * inv[m] % p * inv[n - m] % p; } ll Lucas(ll n, ll m, ll p) { if(!m) return 1; return C(n % p, m % p, p) * Lucas(n / p, m / p, p) % p; } int main() { ll n, p; scanf("%lld%lld", &n, &p); init(p); ll ans = 0; for(ll i = 0; i <= n; ++i) { ans = (ans + Lucas(n, i, p)) % MOD; } printf("%lld\n", ans); return 0; }