#include "bits/stdc++.h"
using namespace std;
using     ll=long long;
using    vll=vector<   ll>;
using   vvll=vector<  vll>;
using  vvvll=vector< vvll>;
using vvvvll=vector<vvvll>;
using     dd=double;
using    vdd=vector<   dd>;
using   vvdd=vector<  vdd>;
using pll=pair<ll,ll>; using tll=tuple<ll,ll,ll>; using qll=tuple<ll,ll,ll,ll>;

constexpr ll INF = 1LL << 60;
struct Fast{ Fast(){ cin.tie(0); ios::sync_with_stdio(false); cout<<fixed<<setprecision(numeric_limits<double>::max_digits10); } } fast;
#define REPS(i, S, E) for (ll i = (S); i <= (E); i++)
#define REP(i, N) REPS(i, 0, (N)-1)
#define DEPS(i, S, E) for (ll i = (E); i >= (S); i--)
#define DEP(i, N) DEPS(i, 0, (N)-1)
#define rep(i, S, E)  for (ll i = (S); i <= (E); i++)
#define dep(i, E, S)  for (ll i = (E); i >= (S); i--)
#define each(e, v) for (auto&& e : v)
#define ALL(v) (v).begin(), (v).end()
#define RALL(v) (v).rbegin(), (v).rend()
template<class T> inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; }return false; }
template<class T> inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; }return false; }
template<class T> inline T MaxE(vector<T>&v,ll S,ll E){ T m=v[S]; rep(i,S,E)chmax(m,v[i]); return m; }
template<class T> inline T MinE(vector<T>&v,ll S,ll E){ T m=v[S]; rep(i,S,E)chmin(m,v[i]); return m; }
template<class T> inline T MaxE(vector<T> &v) { return MaxE(v,0,(ll)v.size()-1); }
template<class T> inline T MinE(vector<T> &v) { return MinE(v,0,(ll)v.size()-1); }
template<class T> inline T Sum(vector<T> &v,ll S,ll E){ T s=T(); rep(i,S,E)s+=v[i]; return s; }
template<class T> inline T Sum(vector<T> &v) { return Sum(v,0,v.size()-1); }
template<class T> inline ll sz(T &v){ return (ll)v.size(); }
inline ll CEIL(ll a,ll b){ return (a<0) ? -(-a/b) : (a+b-1)/b; }
inline ll FLOOR(ll a,ll b){ return -CEIL(-a,b); }

template<ll MOD> struct mll_{
	ll val;
	mll_(ll v = 0): val(v % MOD){ if (val < 0) val += MOD; }
	mll_ operator - () const { return -val; }
	mll_ operator + (const mll_ &b) const { return val + b.val; }
	mll_ operator - (const mll_ &b) const { return val - b.val; }
	mll_ operator * (const mll_ &b) const { return val * b.val; }
	mll_ operator / (const mll_ &b) const { return mll_(*this) /= b; }
	mll_ operator + (ll b) const { return *this + mll_(b); }
	mll_ operator - (ll b) const { return *this - mll_(b); }
	mll_ operator * (ll b) const { return *this * mll_(b); }
	friend mll_ operator + (ll a,const mll_ &b) { return b + a; }
	friend mll_ operator - (ll a,const mll_ &b) { return -b + a; }
	friend mll_ operator * (ll a,const mll_ &b) { return b * a; }
	friend mll_ operator / (ll a,const mll_ &b) { return mll_(a)/b; }
	mll_ &operator += (const mll_ &b) { val=(val+b.val)%MOD; return *this; }
	mll_ &operator -= (const mll_ &b) { val=(val+MOD-b.val)%MOD; return *this; }
	mll_ &operator *= (const mll_ &b) { val=(val*b.val)%MOD; return *this; }
	mll_ &operator /= (const mll_ &b) {
		ll c=b.val,d=MOD,u=1,v=0;
		while (d){
			ll t = c / d;
			c -= t * d; swap(c,d);
			u -= t * v; swap(u,v);
		}
		val = val * u % MOD;
		if (val < 0) val += MOD;
		return *this;
	}
	mll_ &operator += (ll b) { return *this += mll_(b); }
	mll_ &operator -= (ll b) { return *this -= mll_(b); }
	mll_ &operator *= (ll b) { return *this *= mll_(b); }
	mll_ &operator /= (ll b) { return *this /= mll_(b); }
	bool operator == (const mll_ &b) const { return val == b.val; }
	bool operator != (const mll_ &b) const { return val != b.val; }
	bool operator == (ll b) const { return *this == mll_(b); }
	bool operator != (ll b) const { return *this != mll_(b); }
	friend bool operator == (ll a,const mll_ &b) { return mll_(a) == b.val; }
	friend bool operator != (ll a,const mll_ &b) { return mll_(a) != b.val; }
	friend ostream &operator << (ostream &os,const mll_ &a) { return os << a.val; }
	friend istream &operator >> (istream &is,mll_ &a) { return is >> a.val; }
	static mll_ Combination(ll a,ll b){
		chmin(b,a-b);
		if (b<0) return mll_(0);
		mll_ c = 1;
		rep(i,0,b-1) c *= a-i;
		rep(i,0,b-1) c /= i+1;
		return c;
	}
};
using mll = mll_<998244353LL>;
using vmll    = std::vector<mll>;
using vvmll   = std::vector<vmll>;
using vvvmll  = std::vector<vvmll>;
using vvvvmll = std::vector<vvvmll>;


#if 0
#include <atcoder/all>
using namespace atcoder;
#endif

vvll cinGraph(ll nodeNum,ll edgeNum,bool isDirected){//無向false、有向true
	vvll to(nodeNum);
	rep(i,0,edgeNum-1){
		ll v,u; cin >> v >> u;
		v--; u--;
		to[v].push_back(u);
		if (!isDirected) to[u].push_back(v);
	}
	return move(to);
}

ll N,M;
vvll to;
vll seen;

void dfs(ll v,ll id){
	seen[v]=id;
	each(u,to[v]){
		if (seen[u]==-1) dfs(u,id);
	}
}

mll det(vvmll &mat){
	ll n=(ll)mat.size();
	mll prod=1;
	rep(i,0,n-1){
		prod*=mat[i][i];
		mll inv=mll(1)/mat[i][i];
		rep(j,i,n-1) mat[i][j]*=inv;
		rep(ii,i+1,n-1)dep(j,n-1,i) mat[ii][j]-=mat[ii][i]*mat[i][j];
	}
	return prod;
}

mll countST(ll id){
	unordered_map<ll,ll> mp;
	vll tr;
	ll idx=0;
	rep(v,0,N-1){
		if (seen[v]!=id) continue;
		mp[v]=idx++;
		tr.push_back(v);
	}
	ll mm=(ll)tr.size();
	if (mm==1)return mll(1);

	vvmll L(mm-1,vmll(mm-1));//ラプラシアン行列の端を削ったもの
	rep(i,0,mm-2){
		ll v=tr[i];
		each(u,to[v]){
			ll idx=mp[u];
			if (idx==mm-1)continue;
			L[i][idx]=-1;
		}
		L[i][i]=(ll)to[v].size();
	}
	return det(L);
}


void solve()
{
	cin >> N >> M;
	to = cinGraph(N,M,false);
	
	seen.resize(N,-1);
	ll idnm=0;
	rep(v,0,N-1){
		if (seen[v]!=-1)continue;
		dfs(v,idnm++);
	}

	if (idnm==1){
		cout << 0 << '\n';
		cout << countST(0) << '\n';
		return;
	}

	vll ccsize(idnm);
	each(e,seen) ccsize[e]++;

	sort(ALL(ccsize));
	ll fuben=0;
	{
		ll tmp=ccsize[idnm-1]+ccsize[idnm-2];
		fuben+=(N-tmp)*tmp;
		dep(i,idnm-3,0) fuben+=(N-ccsize[i])*ccsize[i];
	}
	ll x=-1,y=-1;
	ll p=0,q=0;
	while (!ccsize.empty()){
		ll s=ccsize.back();  ccsize.pop_back();
		if (x==-1) x=s;
		if (x==s){
			p++; continue;
		}
		if (y==-1) y=s;
		if (y==s){
			q++; continue;
		}
		break;
	}

	mll ans=1;
	rep(id,0,idnm-1) ans*=countST(id);
	if (p>=2){
		ans*=x*x*p*(p-1)/2;
	}
	else{
		ans*=x*y*q;
	}
	cout << fuben << '\n';
	cout << ans << '\n';
}

int main(){
#if 1
	solve();
#else
	ll t;  cin >> t;
	rep(i, 0, t-1){
		solve();
	}
#endif
	return 0;
}