#include "inv.h"

const int N = 100000010;
const int mod = 998244353;

typedef long long ll;

int Inv[N];

ll ask(ll x) {
    return (x <= 100000000 ? Inv[x] : (mod - mod / x) * ask(mod % x) % mod);
}

void init(int p) {
	Inv[1] = 1;
	for(int i = 2;i <= 100000000;i++)
		Inv[i] = 1ll * (mod - mod / i) * Inv[mod % i] % mod;
}

int inv(int x) {
	return ask(x);
}