164 lines
3.1 KiB
C++

/* 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();
}
}