This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define all(s) s.begin(), s.end()
#define lb(s, a) lower_bound(all(s), (a)) - s.begin()
#define ii pair <int, int>
#define fi first
#define se second
using namespace std;
typedef long long ll;
const int ar = 2e5+2;
const ll mod = 1e9+7;
const int oo = 1e9;
int n, m;
int timeDfs = 0, scc = 0;
int low[ar], num[ar];
int id[ar];
bool vs[ar], bridge[ar];
struct set3 {
int v, i, t;
bool operator < (set3 a) {
return v < a.v;
}
bool operator == (set3 a) {
return v == a.v;
}
};
vector <set3> g[ar], adj[ar];
stack <int> st;
void dfs(int u, int p) {
num[u] = low[u] = ++timeDfs;
for (auto [v, i, t] : g[u]) if(v != p) {
if (vs[v]) continue;
if (!num[v]){
dfs(v, u);
if(low[v] == num[v]) bridge[i] = 1;
low[u] = min(low[u], low[v]);
}
else low[u] = min(low[u], num[v]);
}
}
void cay(int u, int sc) {
id[u] = sc;
// cout << u << ' ' << id[u] << ' ' << low[u] << ' ' << num[u] << '\n';
for(auto [v, i, t] : g[u]) {
if(id[v] || bridge[i]) continue;
cay(v, sc);
}
}
int h[ar], up[ar][18], val[ar];
void dfs2(int u, int p) {
vs[u] = 1;
for(auto &[v, i, t] : adj[u]) {
if(v == p) continue;
h[v] = h[u] + 1;
up[v][0] = u;
for(int j = 1; j < 17; ++j)
up[v][j] = up[up[v][j - 1]][j - 1];
dfs2(v, u);
}
}
int lca(int u, int v) {
if(h[u] != h[v]) {
if(h[u] < h[v]) swap(u, v);
int k = h[u] - h[v];
for(int j = 0; (1 << j) <= k; ++j)
if(k >> j & 1)
u = up[u][j];
}
if(u == v) return u;
int k = 31 - __builtin_clz(h[u]);
for(int j = k; j >= 0; --j)
if(up[u][j] != up[v][j]) {
u = up[u][j];
v = up[v][j];
}
return up[u][0];
}
int upp[ar], down[ar];
void dfs3(int u) {
vs[u] = 1;
for(auto &[v, i, t] : adj[u]) if(!vs[v]) {
dfs3(v);
if(upp[v] && down[v] == 0) val[i] = t ^ 1;
else if(down[v] && upp[v] == 0) val[i] = t;
// cout << upp[v] << ' ' << down[v] << '\n';
upp[u] += upp[v];
down[u] += down[v];
}
}
vector <int> same[ar], nhom[ar];
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
#define task "CEOI17_ONEWAY"
if(fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
h[0] = -1;
cin >> n >> m;
int u, v;
memset(val, -1, sizeof val);
for(int i = 1; i <= m; ++i) {
cin >> u >> v;
g[u].push_back({v, i, 0});
g[v].push_back({u, i, 1});
}
// for(int i = 1; i <= n; ++i) {
// sort(all(g[i]));
// for(int j = 0; j < g[i].size();) {
// int k = j + 1;
// while(k < g[i].size() && g[i][j].v == g[i][k].v)
// same[g[i][j].i].push_back(g[i][k].i), ++k;
// j = k;
// }
// g[i].resize(unique(all(g[i])) - g[i].begin());
// }
int dem = 0;
for(int i = 1; i <= n; ++i) if(num[i] == 0)
dfs(i, 0);
for(int i = 1; i <= n; ++i) if(id[i] == 0) {
scc++;
cay(i, scc);
}
// cout << scc << '\n';
for(int u = 1; u <= n; ++u)
for(auto [v, i, t] : g[u]) if(id[u] != id[v])
adj[id[u]].push_back({id[v], i, t});
memset(vs, 0, sizeof vs);
for(int i = 1; i <= n; ++i) if(!vs[id[i]])
dfs2(id[i], 0);
// for(int i = 1; i <= n; ++i)
// nhom[id[i]].push_back(i);
// for(int i = 1; i <= scc; ++i) {
// for(auto u : nhom[i]) cout << u << ' '; cout << '\n';
// }
// for(int i = 1; i <= scc; ++i)
// cout << par[i].v << ' ' << h[i] << '\n';
int q;
cin >> q;
while(q--) {
cin >> u >> v;
u = id[u]; v = id[v];
int p = lca(u, v);
// cout << u << ' ' << v << ' ' << p << '\n';
upp[u]++; upp[p]--;
down[v]++; down[p]--;
// cout << "end\n";
}
memset(vs, 0, sizeof vs);
for(int i = 1; i <= scc; ++i) if(!vs[i])
dfs3(i);
for(int i = 1; i <= m; ++i)
for(auto j : same[i])
val[j] = val[i];
// cout << m << '\n';
for(int i = 1; i <= m; ++i) {
if(val[i] == -1) cout << 'B';
else if(val[i] == 1) cout << 'L';
else cout << 'R';
// cout << '\n';
}
}
Compilation message (stderr)
oneway.cpp: In function 'int main()':
oneway.cpp:130:9: warning: unused variable 'dem' [-Wunused-variable]
130 | int dem = 0;
| ^~~
oneway.cpp:108:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
108 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
oneway.cpp:109:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
109 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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