#include <bits/stdc++.h>
using namespace std;
typedef double db;
typedef long long ll;
typedef long double ld;
#define int ll
typedef pair<int, int> pii;
#define lx (id << 1)
#define rx (lx | 1)
#define gcd __gcd
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define bit(i, mask) ((mask) >> (i) & 1)
#define reset(x, val) memset(x, val, sizeof(x))
#define foru(i,a,b) for(int i = (a); i <= (b); ++i)
#define ford(i,a,b) for(int i = (a); i >= (b); --i)
#define FastIO ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
template<typename T> bool maximize(T &res, const T &val) { if (res < val) { res = val; return true; } return false; }
template<typename T> bool minimize(T &res, const T &val) { if (val < res) { res = val; return true; } return false; }
const ll Linf = 0x3f3f3f3f3f3f3f3f;
const int Inf = 0x3f3f3f3f;
const ll Mod = 1e9 + 7;
const ll Mod2 = ll(1e9) + 9;
const int Lim = 1e6 + 5;
const int inv6 = 166666668;
// #define Sieve
#ifdef Sieve
vector<int> pr;
vector<int> lpf;
void Linear_sieve(int n = Lim) {
pr.assign(1, 2);
lpf.assign(n + 1, 2);
for (int x = 3; x <= n; x += 2) {
if (lpf[x] == 2) pr.push_back(lpf[x] = x);
for (int i = 1; i < pr.size() && pr[i] <= lpf[x] && pr[i] * x <= n; ++i)
lpf[pr[i] * x] = pr[i];
}
}
#endif
/// ====*====*====*====*====*====*====*====*====*====*====*====*====*====*====*====*====
const int base = 3;
const int N = 3e5 + 5;
const int K = log2(N) + 1;
const int dx[] = {+1, -1, 0, 0};
const int dy[] = {0, 0, +1, -1};
const int block_size = sqrt(2e9) + 2;
int n, m;
int a[N];
vector<pair<int, int>> edges;
vector<pii> adj[N];
int up[N][K + 1], dep[N], par[N];
int tin[N], tout[N], timer;
struct Dsu {
int par[N];
Dsu() {
memset(par, 0, sizeof par);
}
int root(int u) {
return par[u] == 0 ? u : par[u] = root(par[u]);
}
int join(int u, int v) {
if ((u = root(u)) == (v = root(v)))
return false;
if (dep[u] > dep[v]) swap(u, v);
par[v] = u; return true;
}
int ok(int u, int v) {
return root(u) != root(v);
}
};
void dfs(int u, int p) {
tin[u] = ++timer;
dep[u] = dep[p] + 1;
up[u][0] = p;
foru(k, 1, K)
up[u][k] = up[up[u][k - 1]][k - 1];
for (auto [v, id]: adj[u]) if (v != p) {
par[v] = id;
dfs(v, u);
}
tout[u] = timer;
}
int isanc(int u, int v) {
return tin[u] <= tin[v] && tout[v] <= tout[u];
}
int lca(int u, int v) {
if (isanc(u, v)) return u;
if (isanc(v, u)) return v;
ford(k, K, 0) if (up[u][k])
if (!isanc(up[u][k], v))
u = up[u][k];
return up[u][0];
}
int dist(int u, int v) {
return dep[u] + dep[v] - 2*dep[lca(u, v)];
}
int ans[N], top;
void solve() {
cin >> n >> m;
foru(i, 1, m) {
int u, v;
cin >> u >> v;
edges.emplace_back(u, v);
}
foru(i, 1, n - 1) {
int x; cin >> x; --x;
int u = edges[x].first, v = edges[x].second;
adj[u].emplace_back(v, x);
adj[v].emplace_back(u, x);
a[x] = true;
}
dfs(1, 0);
Dsu St;
for (int i = 0; i < m; ++i) if (ans[i] == 0) {
int u = edges[i].first;
int v = edges[i].second;
int w = lca(u, v);
static vector<int> f;
if (!f.empty()) f.clear();
for (int x = St.root(u); dep[x] > dep[w]; x = St.root(u)) {
int id = par[x];
int p = up[x][0];
f.push_back(id);
St.join(x, p);
}
for (int x = St.root(v); dep[x] > dep[w]; x = St.root(v)) {
int id = par[x];
int p = up[x][0];
f.push_back(id);
St.join(x, p);
}
sort(all(f));
for (int &id: f) {
ans[id] = ++top;
}
if (ans[i] == 0) ans[i] = ++top;
}
for (int i = 0; i < m; ++i)
cout << ans[i] << " \n"[i == m];
}
signed main() {
FastIO;
#define task ""
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
#define task "test"
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
#ifdef Sieve
Linear_sieve();
#endif
int ntest = 1;
// cin >> ntest;
while (ntest--) {
//cout << "Case " << q << ": " << "\n";
solve();
cout << "\n";
}
return 0;
}
/** /\_/\
* (= ._.)
* / >TL \>AC
**/
Compilation message
riggedroads.cpp:195: warning: "task" redefined
195 | #define task "test"
|
riggedroads.cpp:189: note: this is the location of the previous definition
189 | #define task ""
|
riggedroads.cpp: In function 'int main()':
riggedroads.cpp:191:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
191 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
riggedroads.cpp:192:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
192 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
riggedroads.cpp:197:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
197 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
riggedroads.cpp:198:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
198 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
16988 KB |
Output is correct |
2 |
Correct |
5 ms |
16984 KB |
Output is correct |
3 |
Correct |
4 ms |
16988 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
16988 KB |
Output is correct |
2 |
Correct |
5 ms |
16984 KB |
Output is correct |
3 |
Correct |
4 ms |
16988 KB |
Output is correct |
4 |
Correct |
5 ms |
17244 KB |
Output is correct |
5 |
Correct |
4 ms |
17244 KB |
Output is correct |
6 |
Correct |
5 ms |
17244 KB |
Output is correct |
7 |
Correct |
4 ms |
17244 KB |
Output is correct |
8 |
Correct |
4 ms |
17180 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
51 ms |
47656 KB |
Output is correct |
2 |
Correct |
83 ms |
56768 KB |
Output is correct |
3 |
Correct |
68 ms |
37560 KB |
Output is correct |
4 |
Correct |
149 ms |
96100 KB |
Output is correct |
5 |
Correct |
147 ms |
101560 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
79 ms |
55724 KB |
Output is correct |
2 |
Correct |
46 ms |
36168 KB |
Output is correct |
3 |
Correct |
24 ms |
29852 KB |
Output is correct |
4 |
Correct |
54 ms |
46928 KB |
Output is correct |
5 |
Correct |
22 ms |
32748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
198 ms |
93800 KB |
Output is correct |
2 |
Correct |
221 ms |
103336 KB |
Output is correct |
3 |
Correct |
50 ms |
45000 KB |
Output is correct |
4 |
Correct |
75 ms |
54864 KB |
Output is correct |
5 |
Correct |
292 ms |
110520 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
182 ms |
71208 KB |
Output is correct |
2 |
Correct |
121 ms |
53816 KB |
Output is correct |
3 |
Correct |
349 ms |
98544 KB |
Output is correct |
4 |
Correct |
346 ms |
92228 KB |
Output is correct |
5 |
Correct |
19 ms |
28372 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
16988 KB |
Output is correct |
2 |
Correct |
5 ms |
16984 KB |
Output is correct |
3 |
Correct |
4 ms |
16988 KB |
Output is correct |
4 |
Correct |
5 ms |
17244 KB |
Output is correct |
5 |
Correct |
4 ms |
17244 KB |
Output is correct |
6 |
Correct |
5 ms |
17244 KB |
Output is correct |
7 |
Correct |
4 ms |
17244 KB |
Output is correct |
8 |
Correct |
4 ms |
17180 KB |
Output is correct |
9 |
Correct |
51 ms |
47656 KB |
Output is correct |
10 |
Correct |
83 ms |
56768 KB |
Output is correct |
11 |
Correct |
68 ms |
37560 KB |
Output is correct |
12 |
Correct |
149 ms |
96100 KB |
Output is correct |
13 |
Correct |
147 ms |
101560 KB |
Output is correct |
14 |
Correct |
79 ms |
55724 KB |
Output is correct |
15 |
Correct |
46 ms |
36168 KB |
Output is correct |
16 |
Correct |
24 ms |
29852 KB |
Output is correct |
17 |
Correct |
54 ms |
46928 KB |
Output is correct |
18 |
Correct |
22 ms |
32748 KB |
Output is correct |
19 |
Correct |
198 ms |
93800 KB |
Output is correct |
20 |
Correct |
221 ms |
103336 KB |
Output is correct |
21 |
Correct |
50 ms |
45000 KB |
Output is correct |
22 |
Correct |
75 ms |
54864 KB |
Output is correct |
23 |
Correct |
292 ms |
110520 KB |
Output is correct |
24 |
Correct |
182 ms |
71208 KB |
Output is correct |
25 |
Correct |
121 ms |
53816 KB |
Output is correct |
26 |
Correct |
349 ms |
98544 KB |
Output is correct |
27 |
Correct |
346 ms |
92228 KB |
Output is correct |
28 |
Correct |
19 ms |
28372 KB |
Output is correct |
29 |
Correct |
358 ms |
90616 KB |
Output is correct |
30 |
Correct |
366 ms |
96208 KB |
Output is correct |
31 |
Correct |
324 ms |
96884 KB |
Output is correct |
32 |
Correct |
85 ms |
36112 KB |
Output is correct |
33 |
Correct |
345 ms |
96132 KB |
Output is correct |