#pragma GCC optimize("Ofast") //#pragma GCC target ("sse4") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; //#define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; constexpr ll mod = 1000000007; const ll INF = mod * mod; typedef pairP; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) #define all(v) (v).begin(),(v).end() typedef pair LP; typedef long double ld; typedef pair LDP; const ld eps = 1e-12; const ld pi = acosl(-1.0); ll mod_pow(ll x, ll n, ll m = mod) { if (n < 0) { ll res = mod_pow(x, -n, m); return mod_pow(res, m - 2, m); } if (abs(x) >= m)x %= m; if (x < 0)x += m; ll res = 1; while (n) { if (n & 1)res = res * x % m; x = x * x % m; n >>= 1; } return res; } struct modint { ll n; modint() :n(0) { ; } modint(ll m) :n(m) { if (n >= mod)n %= mod; else if (n < 0)n = (n % mod + mod) % mod; } operator int() { return n; } }; bool operator==(modint a, modint b) { return a.n == b.n; } modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; } modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; } modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; } modint operator+(modint a, modint b) { return a += b; } modint operator-(modint a, modint b) { return a -= b; } modint operator*(modint a, modint b) { return a *= b; } modint operator^(modint a, ll n) { if (n == 0)return modint(1); modint res = (a * a) ^ (n / 2); if (n % 2)res = res * a; return res; } ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); } modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); } modint operator/=(modint& a, modint b) { a = a / b; return a; } const int max_n = 1 << 24; modint fact[max_n], factinv[max_n]; void init_f() { fact[0] = modint(1); for (int i = 0; i < max_n - 1; i++) { fact[i + 1] = fact[i] * modint(i + 1); } factinv[max_n - 1] = modint(1) / fact[max_n - 1]; for (int i = max_n - 2; i >= 0; i--) { factinv[i] = factinv[i + 1] * modint(i + 1); } } modint comb(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[b] * factinv[a - b]; } modint combP(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[a - b]; } void solve() { int n, m; cin >> n >> m; vector

memo(m); vector> G(n); rep(i, m) { int a, b; cin >> a >> b; a--; b--; G[a].push_back(b); memo[i] = { a,b }; } rep(i, n) { vector used(n); queue q; q.push(i); used[i] = true; while (!q.empty()) { int v = q.front(); q.pop(); for (int to : G[v]) { if (!used[to]) { used[to] = true; q.push(to); } } } rep(j, n)if (!used[j]) { cout << -1 << "\n"; return; } } vector can(2 * n); queue q; can[0] = true; q.push(0); while (!q.empty()) { int v = q.front(); q.pop(); int id = v % n; int col = v / n; for (int to : G[id]) { int nex = n * (col ^ 1) + to; if (!can[nex]) { can[nex] = true; q.push(nex); } } } rep(i, 2 * n)if (!can[i]) { cout << -1 << "\n"; return; } if (n == m) { cout << -1 << "\n"; return; } auto find_loop = [&](P p)->vector

{ int fr = p.first; int sc = p.second; vector used(n); vector

res; res.push_back(p); function dfs = [&](int id)->bool { used[id] = true; for (int to : G[id]) { if (to == fr) { res.push_back({ id,to }); return true; } if (!used[to]) { if (dfs(to)) { res.push_back({ id,to }); return true; } } } return false; }; dfs(sc); return res; }; vector

loop1 = find_loop(memo[0]); //cout << loop1.size() << "\n"; //rep(i, loop1.size())cout << loop1[i].first << " " << loop1[i].second << "\n"; vector

loop2; rep(i, m) { bool exi = false; rep(j, loop1.size())if (loop1[j] == memo[i])exi = true; if (!exi) { loop2 = find_loop(memo[i]); break; } } //cout << "?? "< loop2.size())swap(loop1, loop2); vector

vexi, nexi; rep(i, loop1.size()) { bool exi = false; rep(j, loop2.size())if (loop1[i] == loop2[j])exi = true; if (exi) { vexi.push_back(loop1[i]); } else { nexi.push_back(loop1[i]); } } rep(i, nexi.size())vexi.push_back(nexi[i]); int sz = loop1.size(); //cout << "?? " << sz << "\n"; vector c(sz); rep(i, sz) { if (i % 2 == 0)c[i] = 'R'; else c[i] = 'G'; } if (sz % 2 == 0)c.back() = 'R'; vector ans(m, 'G'); rep(i, vexi.size()) { rep(j, m) { if (vexi[i] == memo[j]) { ans[j] = c[i]; } } } rep(i, m)cout << ans[i]; cout << "\n"; } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(10); //init_f(); //init(); //expr(); //int t; cin >> t; rep(i, t) solve(); return 0; }