#include<bits/allocator.h>
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,fma,bmi,bmi2,popcnt,lzcnt")
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned long long
#define int128 __int128_t
#define double long double
#define gcd __gcd
#define lcm(a, b) ((a)/gcd(a, b)*(b))
#define sqrt sqrtl
#define log2 log2l
#define log10 log10l
#define floor floorl
#define to_string str
#define yes cout << "YES"
#define no cout << "NO"
#define trav(i, a) for (auto &i: (a))
#define all(a) (a).begin(), (a).end()
#define rall(a) (a).rbegin(), (a).rend()
#define sz(a) (int)a.size()
#define Max(a) *max_element(all(a))
#define Min(a) *min_element(all(a))
#define Find(a, n) (find(all(a), n) - a.begin())
#define Count(a, n) count(all(a), n)
#define Upper(a, n) (upper_bound(all(a), n) - a.begin())
#define Lower(a, n) (lower_bound(all(a), n) - a.begin())
#define next_perm(a) next_permutation(all(a))
#define prev_perm(a) prev_permutation(all(a))
#define sorted(a) is_sorted(all(a))
#define sum(a) accumulate(all(a), 0)
#define sumll(a) accumulate(all(a), 0ll)
#define Sort(a) sort(all(a))
#define Reverse(a) reverse(all(a))
#define Unique(a) Sort(a), (a).resize(unique(all(a)) - a.begin())
#define pb push_back
#define eb emplace_back
#define popcount __builtin_popcount
#define popcountll __builtin_popcountll
#define clz __builtin_clz
#define clzll __builtin_clzll
#define ctz __builtin_ctz
#define ctzll __builtin_ctzll
#define open(s) freopen(s, "r", stdin)
#define write(s) freopen(s, "w", stdout)
#define fileopen(s) open((string(s) + ".inp").c_str()), write((string(s) + ".out").c_str());
#define For(i, a, b) for (auto i = (a); i < (b); i++)
#define Fore(i, a, b) for (auto i = (a); i >= (b); i--)
#define FOR(i, a, b) for (auto i = (a); i <= (b); i++)
#define ret(s) return void(cout << s);
const int mod = 1e9 + 7, mod2 = 998244353;
const double PI = acos(-1), eps = 1e-9;
const ull npos = string::npos;
const int dx[] = {0, 0, -1, 1}, dy[] = {-1, 1, 0, 0};
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using cd = complex<double>;
mt19937 mt(chrono::system_clock::now().time_since_epoch().count());
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<double> vdo;
typedef vector<vdo> vvdo;
typedef vector<string> vs;
typedef vector<pii> vpair;
typedef vector<vpair> vvpair;
typedef vector<bool> vb;
typedef vector<vb> vvb;
typedef vector<char> vc;
typedef vector<vc> vvc;
typedef vector<cd> vcd;
typedef priority_queue<int> pq;
typedef priority_queue<int, vi, greater<int>> pqg;
typedef priority_queue<ll> pqll;
typedef priority_queue<ll, vll, greater<ll>> pqgll;
ll add(ll a, ll b, int m) {if (a >= m) a%=m;if (b >= m) b%=m;a+=b;return a >= m ? a - m: a;}
ll sub(ll a, ll b, int m) {if (a >= m) a%=m;if (b >= m) b%=m;a-=b;return a < 0 ? a + m: a;}
ll mul(ll a, ll b, int m) {if (a >= m) a%=m;if (b >= m) b%=m;return a*b % m;}
ll bin_mul(ll a, ll b, ll m) {if (a >= m) a%=m;if (b >= m) b%=m;ll x = 0;while (b) {if (b & 1) x = (x + a) % m;a = (a + a) % m;b>>=1;}return x;}
ll power(ll a, ll b, int m) {ll x = 1;if (a >= m) a%=m; while (b) {if (b & 1) x = x*a % m;a = a*a % m;b>>=1;}return x;}
ll power(ll a, ll b) {ll x = 1;while (b) {if (b & 1) x = x*a;a = a*a;b>>=1;}return x;}
ll ceil(ll a, ll b) {return (a + b - 1)/b;}
ll to_int(const string &s) {ll x = 0; for (int i = (s[0] == '-'); i < sz(s); i++) x = x*10 + s[i] - '0';return x*(s[0] == '-' ? -1: 1);}
bool is_prime(ll n) {if (n < 2) return 0;if (n < 4) return 1;if (n % 2 == 0 || n % 3 == 0) return 0;for (ll i = 5; i*i <= n; i+=6) {if(n % i == 0 || n % (i + 2) == 0) return 0;}return 1;}
bool is_square(ll n) {ll k = sqrt(n); return k*k == n;}
ll factorial(int n) {ll x = 1;for (int i = 2; i <= n; i++) x*=i;return x;}
ll factorial(int n, int m) {ll x = 1;for (ll i = 2; i <= n; i++) x = x*i % m;return x;}
bool is_power(ll n, ll k) {while (n % k == 0) n/=k;return n == 1ll;}
string str(ll n) {if (n == 0) return "0"; string s = ""; bool c = 0; if (n < 0) c = 1, n = -n; while (n) {s+=n % 10 + '0'; n/=10;} if (c) s+='-'; Reverse(s); return s;}
string repeat(const string &s, int n) {if (n < 0) return ""; string x = ""; while (n--) x+=s; return x;}
string bin(ll n) {string s = ""; while (n) {s+=(n & 1) + '0'; n>>=1;} Reverse(s); return s;}
void sieve(vector<bool> &a) {int n = a.size(); a[0] = a[1] = 0; for (int i = 4; i < n; i+=2) a[i] = 0; for (int i = 3; i*i < n; i+=2) {if (a[i]) {for (int j = i*i; j < n; j+=(i << 1)) a[j] = 0;}}}
void sieve(bool a[], int n) {a[0] = a[1] = 0; for (int i = 4; i < n; i+=2) a[i] = 0; for (int i = 3; i*i < n; i+=2) {if (a[i]) {for (int j = i*i; j < n; j+=(i << 1)) a[j] = 0;}}}
void sieve(vector<int> &a) {int n = a.size(); for (int i = 2; i < n; i+=2) a[i] = 2; for (int i = 3; i*i < n; i+=2) {if (!a[i]) {for (int j = i; j < n; j+=(i << 1)) a[j] = i;}} for (int i = 3; i < n; i+=2) {if (!a[i]) a[i] = i;}}
void sieve(int a[], int n) {for (int i = 2; i < n; i+=2) a[i] = 2; for (int i = 3; i*i < n; i+=2) {if (!a[i]) {for (int j = i; j < n; j+=(i << 1)) a[j] = i;}} for (int i = 3; i < n; i+=2) {if (!a[i]) a[i] = i;}}
vector<pii> factorize(int n) {vector<pii> a; for (int i = 2; i*i <= n; i++) {if (n % i == 0) {int k = 0; while (n % i == 0) k++, n/=i; a.emplace_back(i, k);}} if (n > 1) a.emplace_back(n, 1); return a;}
int rand(int l, int r) {return uniform_int_distribution<int>(l, r)(mt);}
int Log2(int n) {return 31 - __builtin_clz(n);}
template<class T> void compress(vector<T> &a) {vector<T> b; for (T &i: a) b.push_back(i); sort(all(b)); b.resize(unique(all(b)) - b.begin()); for (T &i: a) i = lower_bound(all(b), i) - b.begin() + 1;}
template<class A, class B> istream& operator>>(istream& in, pair<A, B> &p) {in >> p.first >> p.second; return in;}
template<class A, class B> ostream& operator<<(ostream& out, const pair<A, B> &p) {out << p.first << ' ' << p.second; return out;}
template<class T> istream& operator>>(istream& in, vector<T> &a) {for (auto &i: a) in >> i; return in;}
template<class T> ostream& operator<<(ostream& out, const vector<T> &a) {for (auto &i: a) out << i << ' '; return out;}
template<class T> istream& operator>>(istream& in, vector<vector<T>> &a) {for (auto &i: a) in >> i; return in;}
template<class T> ostream& operator<<(ostream& out, const vector<vector<T>> &a) {for (auto &i: a) out << i << '\n'; return out;}
template<class T> istream& operator>>(istream& in, deque<T> &a) {for (auto &i: a) in >> i; return in;}
template<class T> ostream& operator<<(ostream& out, const deque<T> &a) {for (auto &i: a) out << i << ' '; return out;}
// istream& operator>>(istream& in, __int128_t &a) {string s; in >> s; a = 0; for (auto &i: s) a = a*10 + (i - '0'); return in;}
// ostream& operator<<(ostream& out, __int128_t a) {string s = ""; while (a > 0) {s+=(int)a % 10 + '0'; a/=10;} Reverse(s); out << s; return out;}
const int N = 5e5 + 5;
int in[N], out[N], par[N], low[N], f[N], w[N], n, m, T = 0, k = 0;
bool c[N];
vi g[N], G[N];
pii e[N];
vpair b;
bool bridge(int u, int v) {
if (u > v) swap(u, v);
return binary_search(all(b), make_pair(u, v));
}
void dfs(int u, int p) {
in[u] = low[u] = ++T;
trav(v,g[u]){
if (v == p) continue;
if (!in[v]) {
dfs(v, u);
low[u] = min(low[u], low[v]);
if (low[v] == in[v]) b.pb(minmax(u, v));
} else low[u] = min(low[u], in[v]);
}
}
void build(int u) {
f[u] = k;
c[u] = 1;
trav(v,g[u]){
if (!c[v] && !bridge(u, v)) build(v);
}
}
void DFS(int u, int p) {
in[u] = ++T;
c[u] = 1;
trav(v,G[u]){
if (v != p) par[v] = u, DFS(v, u);
}
out[u] = T;
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL);
cout << fixed << setprecision(10);
cin >> n >> m;
map<pii, int> mp;
For(i,0,m){
int u, v; cin >> u >> v;
mp[{u, v}]++;
e[i] = {u, v};
g[u].pb(v); g[v].pb(u);
}
FOR(i,1,n){
if (!c[i]) dfs(i, 0);
}
Sort(b);
vpair z;
trav(i,b){
if (mp[i] + mp[{i.second, i.first}] == 1) z.pb(i);
}
b.swap(z);
memset(c, 0, sizeof(c));
FOR(i,1,n){
if (!c[i]) k++, build(i);
}
FOR(u,1,n){
trav(v,g[u]){
if (bridge(u, v)) G[f[u]].pb(f[v]), G[f[v]].pb(f[u]);
}
}
FOR(i,1,k) Unique(G[i]);
T = 0;
memset(in, 0, sizeof(in)); memset(c, 0, sizeof(c));
FOR(i,1,k){
if (!c[i]) DFS(i, 0);
}
int _; cin >> _;
while (_--) {
int u, v; cin >> u >> v;
u = f[u], v = f[v];
w[in[u]]++; w[in[v]]--;
}
For(i,1,N) w[i]+=w[i - 1];
set<pii> st;
FOR(i,1,k){
if (par[i]) {
int x = w[out[i]] - w[in[i] - 1];
if (x > 0) st.insert({i, par[i]});
else if (x < 0) st.insert({par[i], i});
}
}
For(i,0,m){
auto [u, v] = e[i];
if (!bridge(u, v)) cout << 'B';
else {
u = f[u], v = f[v];
if (st.count({u, v})) cout << 'R';
else if (st.count({v, u})) cout << 'L';
else cout << 'B';
}
}
// cerr << "\nProcess returned 0 (0x0) execution time : " << 0.001*clock() << " s";
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
9 ms |
37724 KB |
Output is correct |
| 2 |
Correct |
9 ms |
37888 KB |
Output is correct |
| 3 |
Correct |
10 ms |
37976 KB |
Output is correct |
| 4 |
Correct |
8 ms |
37980 KB |
Output is correct |
| 5 |
Correct |
9 ms |
37976 KB |
Output is correct |
| 6 |
Correct |
7 ms |
35928 KB |
Output is correct |
| 7 |
Correct |
9 ms |
37980 KB |
Output is correct |
| 8 |
Correct |
8 ms |
37980 KB |
Output is correct |
| 9 |
Correct |
8 ms |
37976 KB |
Output is correct |
| 10 |
Correct |
8 ms |
37980 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
9 ms |
37724 KB |
Output is correct |
| 2 |
Correct |
9 ms |
37888 KB |
Output is correct |
| 3 |
Correct |
10 ms |
37976 KB |
Output is correct |
| 4 |
Correct |
8 ms |
37980 KB |
Output is correct |
| 5 |
Correct |
9 ms |
37976 KB |
Output is correct |
| 6 |
Correct |
7 ms |
35928 KB |
Output is correct |
| 7 |
Correct |
9 ms |
37980 KB |
Output is correct |
| 8 |
Correct |
8 ms |
37980 KB |
Output is correct |
| 9 |
Correct |
8 ms |
37976 KB |
Output is correct |
| 10 |
Correct |
8 ms |
37980 KB |
Output is correct |
| 11 |
Correct |
64 ms |
50004 KB |
Output is correct |
| 12 |
Correct |
73 ms |
51024 KB |
Output is correct |
| 13 |
Correct |
87 ms |
52680 KB |
Output is correct |
| 14 |
Correct |
132 ms |
55120 KB |
Output is correct |
| 15 |
Correct |
146 ms |
55892 KB |
Output is correct |
| 16 |
Correct |
205 ms |
61376 KB |
Output is correct |
| 17 |
Correct |
208 ms |
65428 KB |
Output is correct |
| 18 |
Correct |
183 ms |
61356 KB |
Output is correct |
| 19 |
Correct |
201 ms |
67280 KB |
Output is correct |
| 20 |
Correct |
67 ms |
50256 KB |
Output is correct |
| 21 |
Correct |
85 ms |
49748 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
9 ms |
37724 KB |
Output is correct |
| 2 |
Correct |
9 ms |
37888 KB |
Output is correct |
| 3 |
Correct |
10 ms |
37976 KB |
Output is correct |
| 4 |
Correct |
8 ms |
37980 KB |
Output is correct |
| 5 |
Correct |
9 ms |
37976 KB |
Output is correct |
| 6 |
Correct |
7 ms |
35928 KB |
Output is correct |
| 7 |
Correct |
9 ms |
37980 KB |
Output is correct |
| 8 |
Correct |
8 ms |
37980 KB |
Output is correct |
| 9 |
Correct |
8 ms |
37976 KB |
Output is correct |
| 10 |
Correct |
8 ms |
37980 KB |
Output is correct |
| 11 |
Correct |
64 ms |
50004 KB |
Output is correct |
| 12 |
Correct |
73 ms |
51024 KB |
Output is correct |
| 13 |
Correct |
87 ms |
52680 KB |
Output is correct |
| 14 |
Correct |
132 ms |
55120 KB |
Output is correct |
| 15 |
Correct |
146 ms |
55892 KB |
Output is correct |
| 16 |
Correct |
205 ms |
61376 KB |
Output is correct |
| 17 |
Correct |
208 ms |
65428 KB |
Output is correct |
| 18 |
Correct |
183 ms |
61356 KB |
Output is correct |
| 19 |
Correct |
201 ms |
67280 KB |
Output is correct |
| 20 |
Correct |
67 ms |
50256 KB |
Output is correct |
| 21 |
Correct |
85 ms |
49748 KB |
Output is correct |
| 22 |
Correct |
233 ms |
68220 KB |
Output is correct |
| 23 |
Correct |
229 ms |
65484 KB |
Output is correct |
| 24 |
Correct |
246 ms |
65740 KB |
Output is correct |
| 25 |
Correct |
272 ms |
72904 KB |
Output is correct |
| 26 |
Correct |
233 ms |
67788 KB |
Output is correct |
| 27 |
Correct |
250 ms |
65480 KB |
Output is correct |
| 28 |
Correct |
40 ms |
39764 KB |
Output is correct |
| 29 |
Correct |
76 ms |
49612 KB |
Output is correct |
| 30 |
Correct |
99 ms |
49748 KB |
Output is correct |
| 31 |
Correct |
83 ms |
50484 KB |
Output is correct |
| 32 |
Correct |
127 ms |
57700 KB |
Output is correct |
