#include <bits/stdc++.h>
using namespace std;
// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e9
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
#define sz size()
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }
// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi,' ',x.se);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
template<class H> void OUTLS(const H& h) {OUTL(h); }
template<class H, class... T> void OUTLS(const H& h, const T&... t) {OUT(h,' '); OUTLS(t...); }
//===================//
// Added libraries //
//===================//
//===================//
//end added libraries//
//===================//
void program();
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
program();
}
//===================//
// begin program //
//===================//
const int MX = 3e5;
int n, m, p;
int a[MX], b[MX], x[MX], y[MX];
bitset<MX> visited, inside;
vi adj[MX];
vi dir[MX], rev[MX];
stack<int> stck;
int comp[MX], compN=0;
set<ii> adjComp[MX];
map<ii,int> adjCEW;
map<ii,int> pToEdge;
string ans;
map<ii,int> cnt;
int added[MX];
void dfsDir(int u, int p=-1) {
if(visited[u]) return;
visited[u] = 1;
inside[u] = 1;
FOR(v,adj[u]) if(v != p) {
if(!visited[v] || inside[v]) {
dir[u].pb(v);
rev[v].pb(u);
if(cnt[{u,v}] >= 2) {
dir[v].pb(u);
rev[u].pb(v);
}
}
if(!visited[v]) dfsDir(v, u);
}
inside[u] = 0;
}
void dfsSCC1(int u) {
if(visited[u]) return;
visited[u] = 1;
FOR(v,dir[u]) dfsSCC1(v);
stck.push(u);
}
void dfsSCC2(int u) {
if(visited[u]) return;
visited[u] = 1;
FOR(v,rev[u]) dfsSCC2(v);
comp[u] = compN;
}
void findSCC() {
visited.reset();
RE1(i,n) dfsSCC1(i);
visited.reset();
while(!stck.empty()) {
int u = stck.top(); stck.pop();
if(visited[u]) continue;
dfsSCC2(u);
compN++;
}
RE1(u,n) {
FOR(v,adj[u]) {
if(comp[u] != comp[v]) {
adjComp[comp[u]].insert({comp[v],pToEdge[{u,v}]});
adjComp[comp[v]].insert({comp[u],pToEdge[{u,v}]});
}
}
}
}
int PC[MX];
void dfsPC(int u, int p=-1) {
visited[u] = 1;
PC[u] = p;
FOR(v,adjComp[u]) if(v.fi != p) {
dfsPC(v.fi,u);
}
}
int SM[MX];
void dfsAns(int u, int p=-1) {
SM[u] = 0;
FOR(v,adjComp[u]) if(v.fi != p) {
dfsAns(v.fi, u);
int tot = SM[v.fi] + adjCEW[{u,v.fi}];
SM[u] += tot;
int e = v.se;
if(tot != 0) ans[e] = 'R';
if(tot > 0) {
// v -> u
if(comp[a[e]] != v.fi) ans[e] = 'L';
}
if(tot < 0) {
// u -> v
if(comp[a[e]] != u) ans[e] = 'L';
}
}
}
void program() {
IN(n,m);
RE(i,m) {
int u, v;
IN(u,v);
adj[u].pb(v);
adj[v].pb(u);
a[i] = u;
b[i] = v;
pToEdge[{u,v}] = i;
pToEdge[{v,u}] = i;
cnt[{u,v}]++;
cnt[{v,u}]++;
}
IN(p);
RE(i,p) {
IN(x[i],y[i]);
}
visited.reset();
RE1(i,n) dfsDir(i);
findSCC();
ans.assign(m,'X');
RE(i,m) ans[i] = 'B';
visited.reset();
vi roots;
RE(i,compN) if(!visited[i]) {
dfsPC(i);
roots.pb(i);
}
RE(i,p) {
int u=comp[x[i]], v=comp[y[i]];
// u -> LCA
adjCEW[{u,PC[u]}]++;
adjCEW[{PC[u],u}]++;
// LCA -> v
adjCEW[{v,PC[v]}]--;
adjCEW[{PC[v],v}]--;
}
FOR(i,roots) dfsAns(i);
OUTL(ans);
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
27 ms |
35584 KB |
Output is correct |
2 |
Correct |
25 ms |
35584 KB |
Output is correct |
3 |
Correct |
27 ms |
35968 KB |
Output is correct |
4 |
Correct |
28 ms |
36272 KB |
Output is correct |
5 |
Correct |
28 ms |
36224 KB |
Output is correct |
6 |
Correct |
24 ms |
35840 KB |
Output is correct |
7 |
Correct |
25 ms |
36224 KB |
Output is correct |
8 |
Correct |
28 ms |
36224 KB |
Output is correct |
9 |
Correct |
28 ms |
35968 KB |
Output is correct |
10 |
Correct |
28 ms |
35960 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
27 ms |
35584 KB |
Output is correct |
2 |
Correct |
25 ms |
35584 KB |
Output is correct |
3 |
Correct |
27 ms |
35968 KB |
Output is correct |
4 |
Correct |
28 ms |
36272 KB |
Output is correct |
5 |
Correct |
28 ms |
36224 KB |
Output is correct |
6 |
Correct |
24 ms |
35840 KB |
Output is correct |
7 |
Correct |
25 ms |
36224 KB |
Output is correct |
8 |
Correct |
28 ms |
36224 KB |
Output is correct |
9 |
Correct |
28 ms |
35968 KB |
Output is correct |
10 |
Correct |
28 ms |
35960 KB |
Output is correct |
11 |
Correct |
517 ms |
66516 KB |
Output is correct |
12 |
Correct |
745 ms |
67960 KB |
Output is correct |
13 |
Correct |
553 ms |
70252 KB |
Output is correct |
14 |
Correct |
730 ms |
74872 KB |
Output is correct |
15 |
Correct |
604 ms |
76400 KB |
Output is correct |
16 |
Correct |
739 ms |
86472 KB |
Output is correct |
17 |
Correct |
869 ms |
88984 KB |
Output is correct |
18 |
Correct |
836 ms |
86532 KB |
Output is correct |
19 |
Correct |
704 ms |
90308 KB |
Output is correct |
20 |
Correct |
544 ms |
68728 KB |
Output is correct |
21 |
Correct |
506 ms |
67196 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
27 ms |
35584 KB |
Output is correct |
2 |
Correct |
25 ms |
35584 KB |
Output is correct |
3 |
Correct |
27 ms |
35968 KB |
Output is correct |
4 |
Correct |
28 ms |
36272 KB |
Output is correct |
5 |
Correct |
28 ms |
36224 KB |
Output is correct |
6 |
Correct |
24 ms |
35840 KB |
Output is correct |
7 |
Correct |
25 ms |
36224 KB |
Output is correct |
8 |
Correct |
28 ms |
36224 KB |
Output is correct |
9 |
Correct |
28 ms |
35968 KB |
Output is correct |
10 |
Correct |
28 ms |
35960 KB |
Output is correct |
11 |
Correct |
517 ms |
66516 KB |
Output is correct |
12 |
Correct |
745 ms |
67960 KB |
Output is correct |
13 |
Correct |
553 ms |
70252 KB |
Output is correct |
14 |
Correct |
730 ms |
74872 KB |
Output is correct |
15 |
Correct |
604 ms |
76400 KB |
Output is correct |
16 |
Correct |
739 ms |
86472 KB |
Output is correct |
17 |
Correct |
869 ms |
88984 KB |
Output is correct |
18 |
Correct |
836 ms |
86532 KB |
Output is correct |
19 |
Correct |
704 ms |
90308 KB |
Output is correct |
20 |
Correct |
544 ms |
68728 KB |
Output is correct |
21 |
Correct |
506 ms |
67196 KB |
Output is correct |
22 |
Correct |
1195 ms |
95172 KB |
Output is correct |
23 |
Correct |
906 ms |
95380 KB |
Output is correct |
24 |
Correct |
1063 ms |
95008 KB |
Output is correct |
25 |
Correct |
805 ms |
101384 KB |
Output is correct |
26 |
Correct |
857 ms |
96916 KB |
Output is correct |
27 |
Correct |
810 ms |
95300 KB |
Output is correct |
28 |
Correct |
140 ms |
42488 KB |
Output is correct |
29 |
Correct |
588 ms |
71288 KB |
Output is correct |
30 |
Correct |
495 ms |
71376 KB |
Output is correct |
31 |
Correct |
735 ms |
71892 KB |
Output is correct |
32 |
Correct |
558 ms |
75256 KB |
Output is correct |