#include <algorithm> #include <atcoder/all> #include <bitset> #include <cassert> #include <cmath> #include <ctime> #include <functional> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <random> #include <set> #include <stack> #include <string> #include <tuple> #include <unordered_map> #include <unordered_set> #include <utility> #include <vector> using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector<int> #define vs vector<string> #define vc vector<char> #define vl vector<ll> #define vb vector<bool> #define vvi vector<vector<int>> #define vvc vector<vector<char>> #define vvl vector<vector<ll>> #define vvb vector<vector<bool>> #define vvvi vector<vector<vector<int>>> #define vvvl vector<vector<vector<ll>>> #define pii pair<int, int> #define pil pair<int, ll> #define pli pair<ll, int> #define pll pair<ll, ll> #define vpii vector<pair<int, int>> #define vpll vector<pair<ll, ll>> #define vvpii vector<vector<pair<int, int>>> #define vvpll vector<vector<pair<ll, ll>>> // using mint = modint998244353; template <typename T> void debug(T e) { cerr << e << endl; } template <typename T> void debug(vector<T> &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template <typename T> void debug(vector<vector<T>> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template <typename T> void debug(vector<pair<T, T>> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template <typename T> void debug(set<T> &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template <typename T> void debug(multiset<T> &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template <typename T> void debug(map<T, T> &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; string solve(ll N, ll M, vector<ll> &u, vector<ll> &v) { for (ll i = 0; i < M; i++) { u[i]--; v[i]--; } vector<vector<ll>> graph(N, vector<ll>(0)); for (ll i = 0; i < M; i++) { graph[u[i]].push_back(v[i]); graph[v[i]].push_back(u[i]); } vector<char> cols(M); bool direct = false; for (ll i = 0; i < M; i++) { if (u[i] == 0 && v[i] == N - 1) { direct = true; } } if (direct) { return "-1"; } vector<ll> e1(0); vector<ll> en(0); vector<bool> unlabel(M, true); for (ll i = 0; i < M; i++) { if (u[i] == 0) { e1.push_back(i); unlabel[i] = false; } if (v[i] == N - 1) { en.push_back(i); unlabel[i] = false; } } if (e1.size() <= M / 2 && en.size() <= M / 2) { for (ll i = 0; i < e1.size(); i++) { cols[e1[i]] = 'R'; } ll rem_red = M / 2 - (ll)e1.size(); for (ll i = 0; i < en.size(); i++) { cols[en[i]] = 'B'; } ll rem_blu = M / 2 - (ll)en.size(); for (ll i = 0; i < M; i++) { if (unlabel[i]) { if (rem_red > 0) { cols[i] = 'R'; rem_red--; } else { cols[i] = 'B'; rem_blu--; } } } } else if (e1.size() > M / 2) { ll rem_red = M / 2; ll rem_blu = M / 2; for (ll i = 0; i < e1.size(); i++) { if (graph[v[e1[i]]].size() >= 2) { cols[e1[i]] = 'R'; rem_red--; } } // debug(cols); for (ll i = 0; i < e1.size(); i++) { if (graph[v[e1[i]]].size() == 1) { if (rem_red > 0) { cols[e1[i]] = 'R'; rem_red--; } else { cols[e1[i]] = 'B'; rem_blu--; } } } assert(rem_red == 0); for (ll i = 0; i < en.size(); i++) { cols[en[i]] = 'B'; } for (ll i = 0; i < M; i++) { if (unlabel[i]) { cols[i] = 'B'; } } ll red = 0; ll blue = 0; for (ll i = 0; i < M; i++) { if (cols[i] == 'R') { red++; } else if (cols[i] == 'B') { blue++; } // assert(cols[i] == 'R' || cols[i] == 'B'); } // assert(red == M / 2 && blue == M / 2); } else { ll rem_red = M / 2; ll rem_blu = M / 2; for (ll i = 0; i < en.size(); i++) { if (graph[u[en[i]]].size() >= 2) { cols[en[i]] = 'R'; rem_red--; } } for (ll i = 0; i < en.size(); i++) { if (graph[u[en[i]]].size() == 1) { if (rem_red > 0) { cols[en[i]] = 'R'; rem_red--; } else { cols[en[i]] = 'B'; rem_blu--; } } } for (ll i = 0; i < e1.size(); i++) { cols[e1[i]] = 'B'; } for (ll i = 0; i < M; i++) { if (unlabel[i]) { cols[i] = 'B'; } } } string ret = ""; for (ll i = 0; i < M; i++) { ret += cols[i]; } return ret; } int main() { /*ll N, M; cin >> N >> M; vector<ll> u(M); vector<ll> v(M); for (ll i = 0; i < M; i++) { cin >> u[i] >> v[i]; u[i]--; v[i]--; } if (M % 2 == 1) { cout << -1 << endl; return 0; }*/ for (ll t = 0; t < 1000; t++) { ll N = 12; vector<ll> u(0); vector<ll> v(0); for (ll i = 2; i <= N - 1; i++) { u.push_back(1); v.push_back(i); } for (ll i = 2; i <= N - 2; i++) { int rd = rand() % 2; if (rd == 1) { u.push_back(i); v.push_back(N); } } ll M = u.size(); string ans = solve(N, M, u, v); ll red = 0; ll blue = 0; if (M % 2 == 1) { cout << -1 << endl; continue; } cout << ans << endl; } }