#include <bits/stdc++.h>
using namespace std;
#define in ({int x=0;int c=getchar(),n=0;for(;!isdigit(c);c=getchar()) n=(c=='-');for(;isdigit(c);c=getchar()) x=x*10+c-'0';n?-x:x;})
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int rnd(int l,int r){return l+rng()%(r-l+1);}
#define fasty ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
#define fori(x,a,b) for(int x=a;x<=b;x++)
#define ford(x,a,b) for(int x=a;x>=b;x--)
#define forv(a,b) for(auto&a:b)
#define fi first
#define se second
#define pb push_back
#define ii pair<int,int>
#define mt make_tuple
#define all(a) a.begin(),a.end()
#define reset(f,x) memset(f,x,sizeof(f))
#define getbit(x,i) ((x>>i)&1)
#define batbit(x,i) (x|(1ll<<i))
#define tatbit(x,i) (x&~(1<<i))
#define gg exit(0);
const int N = 1e5 + 10;
int n,m,x,y,scc,id[N],dd[N],low[N],num[N],it,bri[N];
vector<ii> ke[N];
ii e[N],pa[N];
void dfs(int u,int pr)
{
low[u] = num[u] = ++it;
dd[u] = 1;
forv(v,ke[u]) if(v.fi!=pr)
{
if(!dd[v.fi])
{
pa[v.fi] = {u,v.se};
dfs(v.fi,u);
low[u] = min(low[u],low[v.fi]);
if(low[v.fi]>num[u]) bri[v.se] = 1;
}
else low[u] = min(low[u],num[v.fi]);
}
if(low[u]==num[u]) scc++;
}
void comp(int u,int c)
{
dd[u] = 1;
id[u] = c;
forv(v,ke[u]) if(!dd[v.fi])
{
if(!bri[v.se]) comp(v.fi,c);
}
}
vector<ii> ad[N];
int dep[N],pd[N][25];
void dfs1(int u,int pr)
{
dd[u] = 1;
fori(i,1,log2(scc)) pd[u][i] = pd[pd[u][i-1]][i-1];
forv(v,ad[u]) if(!dd[v.fi])
{
pd[v.fi][0] = u;
pa[v.fi] = {u,v.se};
dep[v.fi] = dep[u] + 1;
dfs1(v.fi,u);
}
}
int lca(int u,int v)
{
if(dep[u]<dep[v]) swap(u,v);
int del = dep[u]-dep[v];
ford(i,log2(scc),0) if(getbit(del,i)) u = pd[u][i];
if(u==v) return u;
ford(i,log2(scc),0) if(pd[u][i]!=pd[v][i])
u = pd[u][i],v = pd[v][i];
return pd[u][0];
}
char sol[N];
int dir[N];
void direct(int x,int anc,int ok)
{
if(x==anc) return;
if(dir[x]==0)
{
dir[x] = ok;
int i = pa[x].se,y = pa[x].fi;
int a = id[e[i].fi],b = id[e[i].se];
if(ok==-1)
{
if(a==x && b==y) sol[i] = 'R';
else sol[i] = 'L';
}
else
{
if(a==y && b==x) sol[i] = 'R';
else sol[i] = 'L';
}
direct(y,anc,ok);
}
else if(dir[x]!=ok) return;//TH ko lam dc;
}
main()
{
//freopen("task.inp","r",stdin);
//freopen("test.out","w",stdout);
fasty;
cin>>n>>m;
fori(i,1,m)
{
cin>>x>>y;
ke[x].pb({y,i});
ke[y].pb({x,i});
e[i] = {x,y};
}
fori(i,1,n) if(!dd[i]) dfs(i,0);
reset(dd,0);
int c=1;
fori(i,1,n) if(!dd[i]) comp(i,c),++c;
fori(i,1,m) if(bri[i])
{
int u = e[i].fi,v = e[i].se;
ad[id[u]].pb({id[v],i});
ad[id[v]].pb({id[u],i});
}
reset(dd,0);
fori(i,1,n) pa[i] = {0,0};
fori(i,1,scc) dd[i] = 0;
fori(i,1,scc) if(!dd[i]) dfs1(i,0);
vector<pair<int,ii> > ord;
int p;cin>>p;
fori(i,1,p)
{
cin>>x>>y;
x = id[x],y = id[y];
int tmp = dep[lca(x,y)];
ord.pb({tmp,{x,y}});
}
fori(i,1,m) sol[i] = 'B';
sort(all(ord));//theo solution la de tinh cho nhanh
forv(i,ord)
{
int a = i.se.fi,b = i.se.se,l = lca(a,b);
direct(a,l,-1);
direct(b,l,1);
}
fori(i,1,m) cout<<sol[i];
}
Compilation message
oneway.cpp:106:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
106 | main()
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5452 KB |
Output is correct |
2 |
Correct |
3 ms |
5452 KB |
Output is correct |
3 |
Correct |
4 ms |
5452 KB |
Output is correct |
4 |
Correct |
5 ms |
5580 KB |
Output is correct |
5 |
Correct |
4 ms |
5708 KB |
Output is correct |
6 |
Correct |
3 ms |
5452 KB |
Output is correct |
7 |
Correct |
5 ms |
5580 KB |
Output is correct |
8 |
Correct |
5 ms |
5580 KB |
Output is correct |
9 |
Correct |
5 ms |
5452 KB |
Output is correct |
10 |
Correct |
5 ms |
5420 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5452 KB |
Output is correct |
2 |
Correct |
3 ms |
5452 KB |
Output is correct |
3 |
Correct |
4 ms |
5452 KB |
Output is correct |
4 |
Correct |
5 ms |
5580 KB |
Output is correct |
5 |
Correct |
4 ms |
5708 KB |
Output is correct |
6 |
Correct |
3 ms |
5452 KB |
Output is correct |
7 |
Correct |
5 ms |
5580 KB |
Output is correct |
8 |
Correct |
5 ms |
5580 KB |
Output is correct |
9 |
Correct |
5 ms |
5452 KB |
Output is correct |
10 |
Correct |
5 ms |
5420 KB |
Output is correct |
11 |
Correct |
44 ms |
11764 KB |
Output is correct |
12 |
Correct |
54 ms |
13280 KB |
Output is correct |
13 |
Correct |
68 ms |
14920 KB |
Output is correct |
14 |
Correct |
110 ms |
18808 KB |
Output is correct |
15 |
Correct |
96 ms |
20408 KB |
Output is correct |
16 |
Correct |
152 ms |
27708 KB |
Output is correct |
17 |
Correct |
146 ms |
29196 KB |
Output is correct |
18 |
Correct |
142 ms |
27912 KB |
Output is correct |
19 |
Correct |
151 ms |
30332 KB |
Output is correct |
20 |
Correct |
74 ms |
12588 KB |
Output is correct |
21 |
Correct |
53 ms |
12740 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5452 KB |
Output is correct |
2 |
Correct |
3 ms |
5452 KB |
Output is correct |
3 |
Correct |
4 ms |
5452 KB |
Output is correct |
4 |
Correct |
5 ms |
5580 KB |
Output is correct |
5 |
Correct |
4 ms |
5708 KB |
Output is correct |
6 |
Correct |
3 ms |
5452 KB |
Output is correct |
7 |
Correct |
5 ms |
5580 KB |
Output is correct |
8 |
Correct |
5 ms |
5580 KB |
Output is correct |
9 |
Correct |
5 ms |
5452 KB |
Output is correct |
10 |
Correct |
5 ms |
5420 KB |
Output is correct |
11 |
Correct |
44 ms |
11764 KB |
Output is correct |
12 |
Correct |
54 ms |
13280 KB |
Output is correct |
13 |
Correct |
68 ms |
14920 KB |
Output is correct |
14 |
Correct |
110 ms |
18808 KB |
Output is correct |
15 |
Correct |
96 ms |
20408 KB |
Output is correct |
16 |
Correct |
152 ms |
27708 KB |
Output is correct |
17 |
Correct |
146 ms |
29196 KB |
Output is correct |
18 |
Correct |
142 ms |
27912 KB |
Output is correct |
19 |
Correct |
151 ms |
30332 KB |
Output is correct |
20 |
Correct |
74 ms |
12588 KB |
Output is correct |
21 |
Correct |
53 ms |
12740 KB |
Output is correct |
22 |
Correct |
353 ms |
31636 KB |
Output is correct |
23 |
Correct |
319 ms |
30192 KB |
Output is correct |
24 |
Correct |
256 ms |
30332 KB |
Output is correct |
25 |
Correct |
302 ms |
34576 KB |
Output is correct |
26 |
Correct |
306 ms |
31304 KB |
Output is correct |
27 |
Correct |
304 ms |
30260 KB |
Output is correct |
28 |
Correct |
51 ms |
11060 KB |
Output is correct |
29 |
Correct |
107 ms |
14612 KB |
Output is correct |
30 |
Correct |
111 ms |
14952 KB |
Output is correct |
31 |
Correct |
101 ms |
15076 KB |
Output is correct |
32 |
Correct |
169 ms |
23184 KB |
Output is correct |