#include <bits/stdc++.h>
#pragma GCC optimize("O3")
#define endl '\n'
using namespace std;
const int mod = 1e9 + 7;
int add(int a, int b)
{
a += b;
if (a >= mod)
a -= mod;
return a;
}
int p, t;
void read()
{
cin >> p >> t;
}
const int maxn = 303;
int dp[maxn][maxn * 2];
int ans[maxn];
void solve()
{
for (int i = -1200; i <= 600; i++)
{
//if (3 * i > j || i < -j || i > j)
//continue;
memset(dp, 0, sizeof(dp));
dp[0][300] = 1;
for (int p = 1; p <= 300; p++)
for (int k = 0; k <= 600; k++)
{
int k1 = k - 300;
if (3 * k1 < -p || i > 3 * k1 - p)
continue;
dp[p][k] = add(dp[p-1][k-1], dp[p-1][k+1]);
}
for (int j = 1; j <= 300; j++)
{
int other = i + j;
if (other % 3 != 0)
continue;
other /= 3;
if (3 * other > j || other < -j || other > j)
continue;
ans[j] = add(ans[j], dp[j][other+300]);
}
}
while (t--)
{
if (p == 1)
{
string s;
cin >> s;
int n = (int)s.size();
vector <int> color(n, 0);
stack <int> st;
for (int i = 0; i < n; i++)
{
if (s[i] == '(')
st.push(i);
else
{
if (!st.empty())
{
color[st.top()] += 1;
color[i] += 1;
st.pop();
}
}
}
while (!st.empty())
st.pop();
vector <int> to_add, to_sub;
for (int i = 0; i < n; i++)
if (color[i])
{
if (s[i] == '(')
to_add.push_back(i);
else
to_sub.push_back(i);
}
reverse(to_sub.begin(), to_sub.end());
int balance = 0, min_bb = 0;
for (int i = 0; i < n; i++)
if (!color[i])
{
if (s[i] == '(')
balance++;
else
balance--;
min_bb = min(min_bb, balance);
}
bool can = false;
for (int i = -min_bb; i <= min((int)to_add.size(), -min_bb); i++)
{
int curr_balance = balance + i;
if (curr_balance < 0)
continue;
if (curr_balance > (int)to_sub.size())
continue;
vector <bool> is(n, false);
for (int j = 0; j < i; j++)
is[to_add[j]] = true;
for (int j = 0; j < curr_balance; j++)
is[to_sub[j]] = true;
int bb = 0;
bool curr_can = true;
for (int j = 0; j < n; j++)
{
if (!color[j] || is[j])
{
if (s[j] == '(')
bb++;
else
bb--;
}
if (bb < 0)
{
curr_can = false;
break;
}
}
if (curr_can)
{
for (int j = 0; j < n; j++)
if (!color[j] || is[j])
color[j] += 2;
can = true;
break;
}
}
if (!can)
cout << "impossible" << endl;
else
{
for (int i = 0; i < n; i++)
{
if (color[i] == 3)
cout << "G";
else
if (color[i] == 1)
cout << "B";
else
cout << "R";
}
cout << endl;
}
}
else
{
int n;
cin >> n;
if (n <= 100)
cout << ans[n] << endl;
}
}
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
read();
solve();
}
