/*
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,fma,bmi,bmi2,sse4.2,popcnt,lzcnt")
*/

#include <bits/stdc++.h>
#define taskname ""
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define i64 long long
#define pb push_back
#define ff first
#define ss second
#define isz(x) (int)x.size()
using namespace std;

const int mxN = 2e5 + 5;
const int mod = 1e9 + 7;
const i64 oo = 1e18;

string name;

string cook(string s, int pos) {
    string res;
    for (int i = pos + 1; i < isz(s); ++i) res.push_back(s[i]);
    res.push_back(s[pos]);
    for (int i = 0; i < pos; ++i) res.push_back(s[i]);
    return res;
}

void path() {
    int n; string s;
    cin >> n >> s;
    int cnt = 0;
    while (1) {
            int sum = 0, pos = -1;
        for (int i = 0; i < 2 * n; ++i) {
            sum += s[i] == 'R' ? 1 : -1;
            if (sum == 0 and s[i] == 'R') {
                pos = i;
                break;
            }
        }
        if (pos == -1) break;
        s = cook(s, pos), ++cnt;
    }
    for (char ch : s) cout << (ch == 'R' ? '(' : ')');
    cout << endl << cnt << endl;
}

void brackets() {
    string s; int n, cnt;
    cin >> n >> s >> cnt;
    while (cnt--) {
        int sum = 0, pos = -1;
        for (int i = 0; i < 2 * n; ++i) {
            sum += s[i] == '(' ? 1 : -1;
            if (sum == 1 and s[i] == '(') {
                pos = i;
            }
        }
        s = cook(s, pos);
    }
    for (char ch : s) cout << (ch == '(' ? 'R' : 'U');
}

void solve() {
    cin >> name;
    if (name == "path") path();
    else brackets();
}

signed main() {

#ifndef CDuongg
    if(fopen(taskname".inp", "r"))
        assert(freopen(taskname".inp", "r", stdin)), assert(freopen(taskname".out", "w", stdout));
#else
    freopen("bai3.inp", "r", stdin);
    freopen("bai3.out", "w", stdout);
    auto start = chrono::high_resolution_clock::now();
#endif

    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int t = 1; //cin >> t;
    while(t--) solve();

#ifdef CDuongg
   auto end = chrono::high_resolution_clock::now();
   cout << "\n"; for(int i = 1; i <= 100; ++i) cout << '=';
   cout << "\nExecution time: " << chrono::duration_cast<chrono::milliseconds> (end - start).count() << "[ms]" << endl;
   cout << "Check array size pls sir" << endl;
#endif

}