Pagini recente » Cod sursa (job #2330573) | Cod sursa (job #2140122) | Cod sursa (job #318865) | Cod sursa (job #2680917) | Cod sursa (job #2929426)
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef pair<int, int> pi;
#define pb push_back
#define mp make_pair
#define f first
#define s second
ll mod = 998244353;
vector<bool> is_prime(3*1e5+1, true);
void sieve(int n = 3*1e5){
is_prime[0] = is_prime[1] = false;
for(int i = 2; i * i <= n; i++){
if(is_prime[i]){
for(int j = i * i; j <= n; j += i)
is_prime[j] = false;
}
}
}
long long binpow(long long a, long long b, long long m) {
a %= m;
long long res = 1;
while (b > 0) {
if (b & 1)
res = res * a % m;
a = a * a % m;
b >>= 1;
}
return res;
}
void solve(){
ll n, m;
cin >> n >> m;
sieve();
ll primes_prod = 1, current = 1, tot = 0;
for(int i = 1; i <= n; i++){
tot += binpow(m, i, mod);
tot %= mod;
}
for(int i = 1; i <= n; i++){
if(is_prime[i])
primes_prod *= i;
if(primes_prod > m)
break;
current *= (m / primes_prod) % mod;
current %= mod;
tot -= current;
tot = ((tot % mod) + mod) % mod;
}
cout << tot << '\n';
}
int main()
{
ios::sync_with_stdio(0); cin.tie(0);
int t = 1;
//cin >> t;
while(t--){
solve();
}
}