//{ <defines>
#include <bits/stdc++.h>
using namespace std;
//#pragma comment(linker, "/stack:200000000")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
//#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,-O3")
#define fr(i, n) for(int i = 0; i < n; ++i)
#define fo(n) fr(i, n)
#define re return
#define ef else if
#define ifn(x) if(!(x))
#define _ << ' ' <<
#define ft first
#define sd second
#define ve vector
#define pb push_back
#define eb emplace_back
#define sz(x) int((x).size())
#define bnd(x) x.begin(), x.end()
#define clr(x, y) memset((x), (y), sizeof (x))
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef ve<int> vi;
inline ll time() {re chrono :: system_clock().now().time_since_epoch().count();}
mt19937 rnd(time());
mt19937_64 RND(time());
template<typename t> inline void umin(t &a, t b) {a = min(a, b);}
template<typename t> inline void umax(t &a, t b) {a = max(a, b);}
int md = 998244353;
inline int m_add(int&a, int b) {a += b; if(a < 0) a += md; if(a >= md) a -= md; re a;}
inline int m_sum(int a, int b) {a += b; if(a < 0) a += md; if(a >= md) a -= md; re a;}
inline int m_mul(int&a, int b) {re a = 1ll * a * b % md;}
inline int m_prod(int a, int b) {re 1ll * a * b % md;}
int m_bpow(ll A, ll b) {
int a = A % md;
ll ans = 1;
for(ll p = 1ll << 63 - __builtin_clzll(b); p; p >>= 1) {
(ans *= ans) %= md;
if(p & b)
(ans *= a) %= md;
}
re ans;
}
//const ld pi = arg(complex<ld>(-1, 0));
//const ld pi2 = pi + pi;
const int oo = 2e9;
const ll OO = 4e18;
//} </defines>
const int N = 305;
int f[N][N][N];
string s[N];
int n, m;
int c(int i, int j, int b) {
if(j >= 0 && j < m && (i < 0 || s[i][j] == '*') && !b) re 0;
if(i < 0 || j < 0 || j >= m || b < 0 || b > i + 1 || s[i][j] == '*') re -1;
int &p = f[i][j][b];
if(p < oo) re p;
bool br = false;
if(s[i][j] == ')') --b, br = true;
if(s[i][j] == '(') ++b, br = true;
p = -1;
for(int z = j - 1; z <= j + 1; ++z) {
int v = c(i - 1, z, b);
if(~v) umax(p, v + br);
}
re p;
}
void solve() {
clr(f, 127);
cin >> n >> m;
fo(n) cin >> s[i];
bool MK[2][m];
clr(MK, 0);
bool *mk = MK[0], *pr = MK[1];
int M;
for(int i = 0; i < m; ++i) if(s[n - 1][i] == 'M') M = i;
mk[M] = true;
int v = c(n - 1, M, 0), b = 0;
cout << v << endl;
string ans = "";
for(int i = n - 2; ~i; --i) {
if(!v) break;
swap(pr, mk);
bool op = false;
bool cl = false;
for(int j = 0; j < m; ++j) if(pr[j] || j && pr[j - 1] || j + 1 < m && pr[j + 1]) {
mk[j] = false;
if(c(i, j, b) >= v - 1) {
mk[j] = true;
if(s[i][j] == '(')
op = true;
if(s[i][j] == ')')
cl = true;
}
}
if(op) {
ans += '(', ++b, --v;
for(int j = 0; j < m; ++j)
if(s[i][j] != '(') mk[j] = false;
} ef(cl) {
ans += ')', --b, --v;
for(int j = 0; j < m; ++j)
if(s[i][j] != ')') mk[j] = false;
}
}
cout << ans << endl;
}
int main() {
#ifdef _LOCAL
freopen("in.txt", "r", stdin);
int tests; cin >> tests;
for(int test = 1; test <= tests; ++test) {
cerr << "case #" << test << endl;
solve();
cerr << endl;
}
#else
// freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout);
ios_base :: sync_with_stdio(0); cin.tie(0); cout.tie(0);
solve();
#endif
return 0;
}
