/* Problem URL: https://codeforces.com/problemset/problem/1879/C */

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;

#define V vector

#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)

#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)

#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()

using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;

using ll = long long;

using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;

template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
    os << vec[0];
    for (size_t i = 1; i < vec.size(); i++) {
        os << ' ' << vec[i];
    }
    os << '\n';
    return os;
}

template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
    for (auto &i : vec) {
        is >> i;
    }
    return is;
}

template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
    for (auto &i : vec) {
        os << i[0];
        for (size_t j = 1; j < i.size(); j++) {
            os << ' ' << i[j];
        }
        os << '\n';
    }
    return os;
}

template<class v>
auto operator>>(istream  &is, vector<vector<v>> &vec)->istream& {
    for (auto &i : vec) {
        for (auto &j : i) {
            is >> j;
        }
    }
    return is;
}

const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;

const int MAXN = 2e5 + 1;
const ll mod = 998244353;
ll fact[MAXN];
ll inv[MAXN];

void pre()
{
    fact[0] = 1;
    nrep(i, 1, MAXN) {
        fact[i] = (fact[i - 1] * i) % mod;
    }

    inv[0] = 1;
    inv[1] = 1;
    nrep(i, 2, MAXN) {
        inv[i] = (mod - mod / i) * inv[mod % i] % mod;
    }

    nrep(i, 2, MAXN) {
        inv[i] = (inv[i] * inv[i - 1]) % mod;
    }
}

#define TEST 1

void solve()
{
    string s;
    cin >> s;

    vl count;
    int now = 1;
    ll total = 0;
    int c = s.size() - 1;

    nrep(i, 1, s.size()) {
        if (s[i] == s[i - 1]) {
            now++;
            continue;
        }

        c--;

        if (now > 1) {
            count.push_back(now);
            total += now - 1;
        }

        now = 1;
    }

    if (now > 1) {
        total += now - 1;
        count.push_back(now);
    }

    auto comb = [&](ll n, ll k) {
        return (fact[n] * inv[k] % mod * inv[n - k]) % mod;
    };

    ll ans = 1;
    repv(i, count) {
        ans = (ans * fact[i]) % mod;
        ans = (ans * comb(total, i - 1)) % mod;
        total -= i - 1;
    }

    cout << c << ' ' << ans << '\n';
}

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    pre();

    int t;
    (TEST && cin >> t) || (t = 1);
    while (t--) {
        solve();
    }
}