#pragma GCC optimize("O3,unroll-loops")
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define fi first
#define se second
#define all(x) x.begin(),x.end()
#define FOR(i,a) for(int i=0;i<(a);i++)
#define FORE(i,a,b) for(int i=(a);i<(b);i++)
typedef pair<int,int> pii;
typedef vector<int> vi;
typedef vector<bool> vb;
typedef vector<pii> vii;
#define cont(x) for(auto el:x) {cout<<el<<' ';} cout<<endl;
#define endl '\n'
#define contp(x) for(auto el:x) {cout<<el.fi<<'-'<<el.se<<' ';} cout<<endl;
#define pb push_back
#define sp <<' '<<
#define DEBUG(x) {cout<<(#x) sp x<<endl;}
#define carp(x,y) ((x%MOD)*(y%MOD))%MOD
#define topla(x,y) ((x%MOD)+(y%MOD))%MOD
const int MAXN=2e5+5;
int n,m;
vi adj[MAXN];
int tane[MAXN], dep[MAXN], low[MAXN], comp[MAXN];
bool vis[MAXN], isbridge[MAXN];
map<pii,int> ind;
vii edge;
int say;
vii g[MAXN];
vector<char> ans;
set<pii> tut;
set<pii> temp;
void dfs(int nd,int ata,int h){
dep[nd]=h;
low[nd]=h;
for(auto kom:adj[nd]){
if(kom==ata) continue;
if(vis[kom]){
if(dep[kom]<=dep[nd]){ //back edge
low[nd]=min(low[nd],dep[kom]);
}
continue;
}
vis[kom]=true;
dfs(kom,nd,h+1);
low[nd]=min(low[nd],low[kom]);
}
if(ata!=0 and low[nd]>=dep[nd] and tane[ind[{ata,nd}]]<=1){
isbridge[ind[{ata,nd}]]=true;
if(temp.count({ata,nd})) edge.pb({ata,nd});
else edge.pb({nd,ata});
}
}
void dfs2(int nd,int ata){ //componentlere ayir
comp[nd]=say;
for(auto kom:adj[nd]){
if(kom==ata) continue;
if(vis[kom]) continue;
if(isbridge[ind[{nd,kom}]]) continue;
vis[kom]=true;
dfs2(kom,nd);
}
}
int top[MAXN];
void dfs3(int nd,int ata,int ind){
for(auto el:g[nd]){
int kom=el.fi;
int yer=el.se;
if(kom==ata) continue;
if(vis[kom]) continue;
vis[kom]=true;
dfs3(kom,nd,yer);
top[nd]+=top[kom];
}
//cout<<"here" sp nd sp ata sp ind sp top[nd]<<endl;
if(ind==-1) return;
if(top[nd]<0){ //bana edge çek
if(tut.count({ata,nd})) ans[ind]='R';
else ans[ind]='L';
}
else if(top[nd]>0){ //benden edge çek
if(tut.count({ata,nd})) ans[ind]='L';
else ans[ind]='R';
}
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin>>n>>m;
say=1;
FOR(i,m){
int a,b;
cin>>a>>b;
adj[a].pb(b);
adj[b].pb(a);
//yeni bir edgese
if(ind[{a,b}]==0) ind[{a,b}]=ind[{b,a}]=say++;
else say++;
tane[ind[{a,b}]]++;
temp.insert({a,b});
}
FORE(i,1,n+1){
if(!vis[i]){
vis[i]=true;
dfs(i,0,0);
}
}
memset(vis,0,sizeof vis);
say=1;
FORE(i,1,n+1){
if(!vis[i]){
vis[i]=true;
dfs2(i,0);
say++;
}
}
for(auto el:temp){
if(comp[el.fi]==comp[el.se]) continue;
tut.insert({comp[el.fi],comp[el.se]});
}
//FORE(i,1,n+1) cout<<comp[i]<<' ';
//cout<<endl;
//create the condensation graph
for(auto el:edge){
g[comp[el.fi]].pb({comp[el.se],ind[el]});
g[comp[el.se]].pb({comp[el.fi],ind[el]});
}
int p;
cin>>p;
while(p--){
int a,b;
cin>>a>>b;
top[comp[a]]++;
top[comp[b]]--;
}
ans.resize(m+1,'B');
memset(vis,0,sizeof vis);
FORE(i,1,say+1){
if(!vis[i]){
vis[i]=true;
dfs3(i,0,-1);
}
}
FORE(i,1,m+1) cout<<ans[i];
cout<<endl;
}
//componentlere ayir
//a componentinden b componentine giden bridge i bul
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
15952 KB |
Output is correct |
2 |
Correct |
6 ms |
15952 KB |
Output is correct |
3 |
Correct |
6 ms |
16208 KB |
Output is correct |
4 |
Correct |
8 ms |
16208 KB |
Output is correct |
5 |
Correct |
7 ms |
16464 KB |
Output is correct |
6 |
Correct |
6 ms |
16208 KB |
Output is correct |
7 |
Correct |
8 ms |
16464 KB |
Output is correct |
8 |
Correct |
7 ms |
16380 KB |
Output is correct |
9 |
Correct |
5 ms |
16208 KB |
Output is correct |
10 |
Correct |
6 ms |
16376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
15952 KB |
Output is correct |
2 |
Correct |
6 ms |
15952 KB |
Output is correct |
3 |
Correct |
6 ms |
16208 KB |
Output is correct |
4 |
Correct |
8 ms |
16208 KB |
Output is correct |
5 |
Correct |
7 ms |
16464 KB |
Output is correct |
6 |
Correct |
6 ms |
16208 KB |
Output is correct |
7 |
Correct |
8 ms |
16464 KB |
Output is correct |
8 |
Correct |
7 ms |
16380 KB |
Output is correct |
9 |
Correct |
5 ms |
16208 KB |
Output is correct |
10 |
Correct |
6 ms |
16376 KB |
Output is correct |
11 |
Correct |
209 ms |
41248 KB |
Output is correct |
12 |
Correct |
231 ms |
42856 KB |
Output is correct |
13 |
Correct |
270 ms |
44428 KB |
Output is correct |
14 |
Correct |
305 ms |
47048 KB |
Output is correct |
15 |
Correct |
320 ms |
48068 KB |
Output is correct |
16 |
Correct |
414 ms |
54460 KB |
Output is correct |
17 |
Correct |
409 ms |
57176 KB |
Output is correct |
18 |
Correct |
368 ms |
54456 KB |
Output is correct |
19 |
Correct |
388 ms |
59232 KB |
Output is correct |
20 |
Correct |
217 ms |
41804 KB |
Output is correct |
21 |
Correct |
189 ms |
40520 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
15952 KB |
Output is correct |
2 |
Correct |
6 ms |
15952 KB |
Output is correct |
3 |
Correct |
6 ms |
16208 KB |
Output is correct |
4 |
Correct |
8 ms |
16208 KB |
Output is correct |
5 |
Correct |
7 ms |
16464 KB |
Output is correct |
6 |
Correct |
6 ms |
16208 KB |
Output is correct |
7 |
Correct |
8 ms |
16464 KB |
Output is correct |
8 |
Correct |
7 ms |
16380 KB |
Output is correct |
9 |
Correct |
5 ms |
16208 KB |
Output is correct |
10 |
Correct |
6 ms |
16376 KB |
Output is correct |
11 |
Correct |
209 ms |
41248 KB |
Output is correct |
12 |
Correct |
231 ms |
42856 KB |
Output is correct |
13 |
Correct |
270 ms |
44428 KB |
Output is correct |
14 |
Correct |
305 ms |
47048 KB |
Output is correct |
15 |
Correct |
320 ms |
48068 KB |
Output is correct |
16 |
Correct |
414 ms |
54460 KB |
Output is correct |
17 |
Correct |
409 ms |
57176 KB |
Output is correct |
18 |
Correct |
368 ms |
54456 KB |
Output is correct |
19 |
Correct |
388 ms |
59232 KB |
Output is correct |
20 |
Correct |
217 ms |
41804 KB |
Output is correct |
21 |
Correct |
189 ms |
40520 KB |
Output is correct |
22 |
Correct |
415 ms |
58256 KB |
Output is correct |
23 |
Correct |
413 ms |
55464 KB |
Output is correct |
24 |
Correct |
395 ms |
55568 KB |
Output is correct |
25 |
Correct |
409 ms |
63928 KB |
Output is correct |
26 |
Correct |
382 ms |
57568 KB |
Output is correct |
27 |
Correct |
419 ms |
55736 KB |
Output is correct |
28 |
Correct |
65 ms |
20648 KB |
Output is correct |
29 |
Correct |
230 ms |
42072 KB |
Output is correct |
30 |
Correct |
226 ms |
42360 KB |
Output is correct |
31 |
Correct |
238 ms |
42880 KB |
Output is correct |
32 |
Correct |
255 ms |
46152 KB |
Output is correct |