#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <assert.h>
#include <iostream>
#include <sstream>
#include <vector>
#include <string>
#include <math.h>
#include <queue>
#include <list>
#include <algorithm>
#include <map>
#include <set>
#include <stack>
#include <ctime>
#include <iterator>
using namespace std;
#define ALL(c) (c).begin(),(c).end()
#define IN(x,c) (find(c.begin(),c.end(),x) != (c).end())
#define REP(i,n) for (int i=0;i<(int)(n);i++)
#define FOR(i,a,b) for (int i=(a);i<=(b);i++)
#define INIT(a,v) memset(a,v,sizeof(a))
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()), c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
template<class A, class B> A cvt(B x) { stringstream ss; ss<<x; A y; ss>>y; return y; }
typedef pair<int,int> PII;
typedef long long int64;
#define N 100000
#define M 100000
#define P 100000
mt19937 rnd(time(0));
int n,m,q;
vector<PII> adj[N];
int edge[M][2];
int path[P][3];
int bridge[M];
int comp[N];
char label[M+1];
vector<PII> adjc[N];
int t=0;
int lo[N],ind[N];
void tarjan(int x, int par=-1) {
ind[x]=t; lo[x]=t;
t++;
for (PII yi : adj[x]) {
int y=yi.first, i=yi.second;
if (i==par) continue;
if (ind[y]==-1) {
tarjan(y,i);
lo[x]=min(lo[x], lo[y]);
if (lo[y]>ind[x]) bridge[i]=1;
} else {
lo[x]=min(lo[x], ind[y]);
}
}
}
int v[N];
void components(int x, int c) {
v[x]=1;
comp[x]=c;
for (PII yi : adj[x]) {
int y=yi.first, i=yi.second;
if (!v[y] && !bridge[i]) components(y,c);
}
}
int depth[N];
int parent[N][2];
void dfs(int x, int d=0, int par=-1, int pari=-1) {
depth[x]=d;
parent[x][0]=par; parent[x][1]=pari;
for (PII yi : adjc[x]) {
int y=yi.first, i=yi.second;
if (y!=par) dfs(y,d+1,x,i);
}
}
#define K 18
int p[N][K];
void LCA_init(int c) {
INIT(p,-1);
REP (i,c) p[i][0]=parent[i][0];
FOR (k,1,K-1) {
REP (i,c) {
if (p[i][k-1]!=-1) {
p[i][k]=p[p[i][k-1]][k-1];
}
}
}
}
int LCA_query(int a, int b) {
if (depth[a] < depth[b]) swap(a,b);
for (int k=K-1;k>=0;k--) {
if (depth[a]-(1<<k)>=depth[b]) {
a=p[a][k];
}
}
if (a==b) return a;
for (int k=K-1;k>=0;k--) {
if (p[a][k]!=p[b][k]) {
a=p[a][k];
b=p[b][k];
}
}
return parent[a][0];
}
int ok=1;
int direction[N];
void direct(int x, int z, int dir) {
if (x==z) return;
if (direction[x]==0) {
direction[x]=dir;
int y=parent[x][0], i=parent[x][1];
int a=comp[edge[i][0]], b=comp[edge[i][1]];
if (dir==-1) {
if (a==x && b==y) label[i]='R'; else label[i]='L';
} else {
if (a==y && b==x) label[i]='R'; else label[i]='L';
}
direct(y, z, dir);
} else {
if (direction[x]!=dir) ok=0;
}
}
int main() {
scanf("%d %d",&n,&m);
assert(n<=100000 && m<=100000);
REP (i,m) {
int a,b;
scanf("%d %d",&a,&b);
assert(1<=a && a<=n); assert(1<=b && b<=n);
a--; b--;
edge[i][0]=a; edge[i][1]=b;
adj[a].push_back({b,i});
adj[b].push_back({a,i});
}
INIT(ind,-1);
REP (i,n) if (ind[i]==-1) {
tarjan(i);
}
int c=0;
INIT(comp,-1);
INIT(v,0);
REP (i,n) if (!v[i]) {
components(i,c);
c++;
}
REP (i,m) if (bridge[i]) {
int ca=comp[edge[i][0]], cb=comp[edge[i][1]];
//assert(ca!=cb);
adjc[ca].push_back({cb,i});
adjc[cb].push_back({ca,i});
}
INIT(depth,-1);
REP (i,n) if (depth[i]==-1) {
dfs(i);
}
LCA_init(c);
REP (i,m) label[i]='B';
label[m]=0;
scanf("%d",&q);
assert(q<=100000);
vector<PII> ord;
REP (i,q) {
int a,b;
scanf("%d %d",&a,&b);
assert(1<=a && a<=n); assert(1<=b && b<=n);
a--; b--;
path[i][0]=comp[a]; path[i][1]=comp[b]; path[i][2]=LCA_query(comp[a], comp[b]);
assert(path[i][2]!=-1);
ord.push_back({depth[path[i][2]],i});
}
sort(ALL(ord));
INIT(direction,0);
for (PII di : ord) {
int i=di.second;
int a=path[i][0], b=path[i][1], l=path[i][2];
direct(a,l,-1);
direct(b,l,1);
}
printf("%s\n",label);
assert(ok);
return 0;
}
Compilation message
oneway.cpp: In function 'int main()':
oneway.cpp:142:22: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d",&n,&m);
^
oneway.cpp:146:23: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d",&a,&b);
^
oneway.cpp:177:16: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d",&q);
^
oneway.cpp:182:23: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d",&a,&b);
^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
19308 KB |
Output is correct |
2 |
Correct |
0 ms |
19308 KB |
Output is correct |
3 |
Correct |
3 ms |
19308 KB |
Output is correct |
4 |
Correct |
3 ms |
19440 KB |
Output is correct |
5 |
Correct |
9 ms |
19440 KB |
Output is correct |
6 |
Correct |
0 ms |
19308 KB |
Output is correct |
7 |
Correct |
3 ms |
19440 KB |
Output is correct |
8 |
Correct |
0 ms |
19440 KB |
Output is correct |
9 |
Correct |
3 ms |
19308 KB |
Output is correct |
10 |
Correct |
0 ms |
19308 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
19308 KB |
Output is correct |
2 |
Correct |
0 ms |
19308 KB |
Output is correct |
3 |
Correct |
3 ms |
19308 KB |
Output is correct |
4 |
Correct |
3 ms |
19440 KB |
Output is correct |
5 |
Correct |
9 ms |
19440 KB |
Output is correct |
6 |
Correct |
0 ms |
19308 KB |
Output is correct |
7 |
Correct |
3 ms |
19440 KB |
Output is correct |
8 |
Correct |
0 ms |
19440 KB |
Output is correct |
9 |
Correct |
3 ms |
19308 KB |
Output is correct |
10 |
Correct |
0 ms |
19308 KB |
Output is correct |
11 |
Correct |
49 ms |
22912 KB |
Output is correct |
12 |
Correct |
86 ms |
23512 KB |
Output is correct |
13 |
Correct |
93 ms |
24220 KB |
Output is correct |
14 |
Correct |
109 ms |
25068 KB |
Output is correct |
15 |
Correct |
143 ms |
25592 KB |
Output is correct |
16 |
Correct |
136 ms |
26832 KB |
Output is correct |
17 |
Correct |
149 ms |
27680 KB |
Output is correct |
18 |
Correct |
139 ms |
26832 KB |
Output is correct |
19 |
Correct |
133 ms |
28584 KB |
Output is correct |
20 |
Correct |
69 ms |
23000 KB |
Output is correct |
21 |
Correct |
79 ms |
22792 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
19308 KB |
Output is correct |
2 |
Correct |
0 ms |
19308 KB |
Output is correct |
3 |
Correct |
3 ms |
19308 KB |
Output is correct |
4 |
Correct |
3 ms |
19440 KB |
Output is correct |
5 |
Correct |
9 ms |
19440 KB |
Output is correct |
6 |
Correct |
0 ms |
19308 KB |
Output is correct |
7 |
Correct |
3 ms |
19440 KB |
Output is correct |
8 |
Correct |
0 ms |
19440 KB |
Output is correct |
9 |
Correct |
3 ms |
19308 KB |
Output is correct |
10 |
Correct |
0 ms |
19308 KB |
Output is correct |
11 |
Correct |
49 ms |
22912 KB |
Output is correct |
12 |
Correct |
86 ms |
23512 KB |
Output is correct |
13 |
Correct |
93 ms |
24220 KB |
Output is correct |
14 |
Correct |
109 ms |
25068 KB |
Output is correct |
15 |
Correct |
143 ms |
25592 KB |
Output is correct |
16 |
Correct |
136 ms |
26832 KB |
Output is correct |
17 |
Correct |
149 ms |
27680 KB |
Output is correct |
18 |
Correct |
139 ms |
26832 KB |
Output is correct |
19 |
Correct |
133 ms |
28584 KB |
Output is correct |
20 |
Correct |
69 ms |
23000 KB |
Output is correct |
21 |
Correct |
79 ms |
22792 KB |
Output is correct |
22 |
Correct |
263 ms |
29268 KB |
Output is correct |
23 |
Correct |
226 ms |
28124 KB |
Output is correct |
24 |
Correct |
183 ms |
28404 KB |
Output is correct |
25 |
Correct |
273 ms |
31608 KB |
Output is correct |
26 |
Correct |
259 ms |
28988 KB |
Output is correct |
27 |
Correct |
179 ms |
28128 KB |
Output is correct |
28 |
Correct |
49 ms |
23060 KB |
Output is correct |
29 |
Correct |
109 ms |
24276 KB |
Output is correct |
30 |
Correct |
129 ms |
24380 KB |
Output is correct |
31 |
Correct |
126 ms |
24636 KB |
Output is correct |
32 |
Correct |
186 ms |
26964 KB |
Output is correct |