#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")
typedef long long ll;
typedef double ld;
#define pb push_back
#define sz(x) int(x.size())
#define all(x) x.begin(),x.end()
#define F first
#define S second
const int N = 120001;
int n, pr[N], sz[N], q, dep[N], p[N][17], mn[N], vt[N];
int mx[N], sze[N], bit[N+N], ans[N+N];
bool r[N];
int ar[N];
int cnt = 0;
vector<array<int, 3>> qr;
vector<pair<int, int>> adj[N];
vector<int> c[N];
void upd(int i, int val) {
i++;
while (i <= q) {
bit[i] += val;
i += (i & -i);
}
}
int get(int i) {
i++;
int ret = 0;
while (i) {
ret += bit[i];
i -= (i & -i);
}
return ret;
}
void dfs_sz(int u, int par) {
sze[u] = 1;
for (auto &[v, t] : adj[u]) {
if (r[v] || v == par)continue;
dfs_sz(v, u);
sze[u] += sz[v];
}
}
int centroid(int u, int par, int mxsz) {
for (auto &[v, t] : adj[u]) {
if (r[v] || v == par)continue;
if (2*sze[v] > mxsz)return centroid(v, u, mxsz);
}
return u;
}
int findp(int u) {
return pr[u] = (pr[u] == u ? u : findp(pr[u]));
}
void merge(int u, int v) {
u = findp(u), v = findp(v);
if (u == v)return;
if (sz[u] < sz[v])swap(u, v);
sz[u] += sz[v];
pr[v] = u;
}
void init(int u, int par) {
for (auto &[v, t] : adj[u]) {
if (v == par)continue;
p[v][0] = u;
dep[v] = dep[u]+1;
vt[v] = t;
mn[v] = (vt[v] < vt[u] ? mn[u] : u);
mx[v] = (vt[v] > vt[u] ? mx[u] : u);
for (int i = 1; i < 17; i++) {
p[v][i] = p[p[v][i-1]][i-1];
}
init(v, u);
}
}
int lift(int u, int k) {
for (int i = 0; i < 17; i++) {
if ((k & (1 << i)))u = p[u][i];
}
return u;
}
int lca(int u, int v) {
if (dep[u] < dep[v])swap(u, v);
u = lift(u, dep[u]-dep[v]);
if (u == v)return u;
for (int i = 16; i >= 0; i--) {
if (p[u][i] != p[v][i]) {
u = p[u][i];
v = p[v][i];
}
}
return p[u][0];
}
bool sol(int u, int v) {
if (findp(u) != findp(v))return false;
int l = lca(u, v);
if (dep[mx[u]] > dep[l])return false;
if (dep[mn[v]] > dep[l])return false;
if (l == v || l == u)return true;
u = lift(u, dep[u]-dep[l]-1);
v = lift(v, dep[v]-dep[l]-1);
return (vt[v] < vt[u]);
}
int vv;
void dfs(int u, int par, int ls) {
for (auto &t : c[u]) {
ans[t] += get(t) + (vv <= t);
}
for (auto &[v, t] : adj[u]) {
if (r[v] || v == par || t > ls)continue;
dfs(v, u, t);
}
}
void dfs2(int u, int par, int ls) {
upd(ls, 1);
ar[cnt++] = ls;
for (auto &[v, t] : adj[u]) {
if (r[v] || v == par || t < ls)continue;
dfs2(v, u, t);
}
}
void cen(int u) {
dfs_sz(u, u);
u = centroid(u, u, sze[u]);
cnt = 0;
for (auto &[v, t] : adj[u]) {
if (r[v])continue;
vv = t;
dfs(v, u, t);
dfs2(v, u, t);
}
for (auto &t : c[u]) {
ans[t] += get(t);
}
for (int i = 0; i < cnt; i++)upd(ar[i], -1);
r[u] = true;
for (auto &[v, t] : adj[u]) {
if (r[v])continue;
cen(v);
}
}
int main () {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> q;
for (int i = 0; i < n; i++) {
pr[i] = i, sz[i] = 1;
}
q += n-1;
bool ff = true;
for (int i = 0; i < q; i++) {
char ch;
cin >> ch;
if (ch == 'S') {
int u, v;
cin >> u >> v;
--u, --v;
qr.pb({0, u, v});
adj[u].pb({v, i});
adj[v].pb({u, i});
} else if (ch == 'Q') {
int u, v;
cin >> u >> v;
--u, --v;
qr.pb({1, u, v});
} else {
ff = false;
int u;
cin >> u;
--u;
c[u].pb(i);
qr.pb({2, u, i});
}
}
vt[0] = q+5;
init(0, 0);
if (!ff) {
for (int i = 0; i < n; i++)reverse(all(adj[i]));
cen(0);
}
for (auto &[op, u, v] : qr) {
if (!op) {
merge(u, v);
}
else if (op == 1) {
cout << (sol(u, v) ? "yes\n" : "no\n");
} else {
cout << ans[v] + 1 << "\n";
}
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
18 ms |
12752 KB |
Output is correct |
2 |
Correct |
23 ms |
12856 KB |
Output is correct |
3 |
Correct |
30 ms |
13056 KB |
Output is correct |
4 |
Correct |
22 ms |
12764 KB |
Output is correct |
5 |
Correct |
31 ms |
13136 KB |
Output is correct |
6 |
Correct |
29 ms |
12784 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
18 ms |
12752 KB |
Output is correct |
2 |
Correct |
23 ms |
12856 KB |
Output is correct |
3 |
Correct |
30 ms |
13056 KB |
Output is correct |
4 |
Correct |
22 ms |
12764 KB |
Output is correct |
5 |
Correct |
31 ms |
13136 KB |
Output is correct |
6 |
Correct |
29 ms |
12784 KB |
Output is correct |
7 |
Correct |
19 ms |
14804 KB |
Output is correct |
8 |
Correct |
39 ms |
15372 KB |
Output is correct |
9 |
Correct |
31 ms |
15364 KB |
Output is correct |
10 |
Correct |
129 ms |
15404 KB |
Output is correct |
11 |
Correct |
125 ms |
15640 KB |
Output is correct |
12 |
Correct |
27 ms |
15368 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
20 ms |
12744 KB |
Output is correct |
2 |
Correct |
94 ms |
25596 KB |
Output is correct |
3 |
Correct |
81 ms |
25596 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
20 ms |
12744 KB |
Output is correct |
2 |
Correct |
94 ms |
25596 KB |
Output is correct |
3 |
Correct |
81 ms |
25596 KB |
Output is correct |
4 |
Correct |
24 ms |
14804 KB |
Output is correct |
5 |
Correct |
87 ms |
27864 KB |
Output is correct |
6 |
Correct |
69 ms |
28412 KB |
Output is correct |
7 |
Correct |
78 ms |
28484 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
17 ms |
12752 KB |
Output is correct |
2 |
Correct |
89 ms |
33992 KB |
Output is correct |
3 |
Correct |
81 ms |
34048 KB |
Output is correct |
4 |
Correct |
77 ms |
34048 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
17 ms |
12752 KB |
Output is correct |
2 |
Correct |
89 ms |
33992 KB |
Output is correct |
3 |
Correct |
81 ms |
34048 KB |
Output is correct |
4 |
Correct |
77 ms |
34048 KB |
Output is correct |
5 |
Correct |
19 ms |
14800 KB |
Output is correct |
6 |
Execution timed out |
3552 ms |
37024 KB |
Time limit exceeded |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
20 ms |
12796 KB |
Output is correct |
2 |
Correct |
90 ms |
25544 KB |
Output is correct |
3 |
Correct |
100 ms |
26032 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
20 ms |
12796 KB |
Output is correct |
2 |
Correct |
90 ms |
25544 KB |
Output is correct |
3 |
Correct |
100 ms |
26032 KB |
Output is correct |
4 |
Correct |
22 ms |
14736 KB |
Output is correct |
5 |
Execution timed out |
3576 ms |
29352 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
18 ms |
12752 KB |
Output is correct |
2 |
Correct |
94 ms |
34004 KB |
Output is correct |
3 |
Correct |
108 ms |
34348 KB |
Output is correct |
4 |
Correct |
79 ms |
34048 KB |
Output is correct |
5 |
Correct |
18 ms |
12752 KB |
Output is correct |
6 |
Correct |
76 ms |
25652 KB |
Output is correct |
7 |
Correct |
122 ms |
26052 KB |
Output is correct |
8 |
Correct |
95 ms |
26384 KB |
Output is correct |
9 |
Correct |
88 ms |
26616 KB |
Output is correct |
10 |
Correct |
109 ms |
31228 KB |
Output is correct |
11 |
Correct |
117 ms |
30360 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
18 ms |
12752 KB |
Output is correct |
2 |
Correct |
94 ms |
34004 KB |
Output is correct |
3 |
Correct |
108 ms |
34348 KB |
Output is correct |
4 |
Correct |
79 ms |
34048 KB |
Output is correct |
5 |
Correct |
18 ms |
12752 KB |
Output is correct |
6 |
Correct |
76 ms |
25652 KB |
Output is correct |
7 |
Correct |
122 ms |
26052 KB |
Output is correct |
8 |
Correct |
95 ms |
26384 KB |
Output is correct |
9 |
Correct |
88 ms |
26616 KB |
Output is correct |
10 |
Correct |
109 ms |
31228 KB |
Output is correct |
11 |
Correct |
117 ms |
30360 KB |
Output is correct |
12 |
Correct |
18 ms |
14800 KB |
Output is correct |
13 |
Execution timed out |
3537 ms |
37112 KB |
Time limit exceeded |
14 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
12748 KB |
Output is correct |
2 |
Correct |
22 ms |
12768 KB |
Output is correct |
3 |
Correct |
29 ms |
13008 KB |
Output is correct |
4 |
Correct |
22 ms |
12768 KB |
Output is correct |
5 |
Correct |
30 ms |
13244 KB |
Output is correct |
6 |
Correct |
33 ms |
12788 KB |
Output is correct |
7 |
Correct |
20 ms |
12656 KB |
Output is correct |
8 |
Correct |
74 ms |
25600 KB |
Output is correct |
9 |
Correct |
72 ms |
25512 KB |
Output is correct |
10 |
Correct |
18 ms |
12616 KB |
Output is correct |
11 |
Correct |
93 ms |
34032 KB |
Output is correct |
12 |
Correct |
85 ms |
34056 KB |
Output is correct |
13 |
Correct |
88 ms |
33996 KB |
Output is correct |
14 |
Correct |
18 ms |
12752 KB |
Output is correct |
15 |
Correct |
74 ms |
25476 KB |
Output is correct |
16 |
Correct |
81 ms |
26000 KB |
Output is correct |
17 |
Correct |
92 ms |
26368 KB |
Output is correct |
18 |
Correct |
123 ms |
26676 KB |
Output is correct |
19 |
Correct |
97 ms |
30972 KB |
Output is correct |
20 |
Correct |
104 ms |
30172 KB |
Output is correct |
21 |
Correct |
76 ms |
25596 KB |
Output is correct |
22 |
Correct |
102 ms |
25600 KB |
Output is correct |
23 |
Correct |
79 ms |
25944 KB |
Output is correct |
24 |
Correct |
84 ms |
26108 KB |
Output is correct |
25 |
Correct |
108 ms |
27888 KB |
Output is correct |
26 |
Correct |
76 ms |
25340 KB |
Output is correct |
27 |
Correct |
77 ms |
25344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
12748 KB |
Output is correct |
2 |
Correct |
22 ms |
12768 KB |
Output is correct |
3 |
Correct |
29 ms |
13008 KB |
Output is correct |
4 |
Correct |
22 ms |
12768 KB |
Output is correct |
5 |
Correct |
30 ms |
13244 KB |
Output is correct |
6 |
Correct |
33 ms |
12788 KB |
Output is correct |
7 |
Correct |
20 ms |
12656 KB |
Output is correct |
8 |
Correct |
74 ms |
25600 KB |
Output is correct |
9 |
Correct |
72 ms |
25512 KB |
Output is correct |
10 |
Correct |
18 ms |
12616 KB |
Output is correct |
11 |
Correct |
93 ms |
34032 KB |
Output is correct |
12 |
Correct |
85 ms |
34056 KB |
Output is correct |
13 |
Correct |
88 ms |
33996 KB |
Output is correct |
14 |
Correct |
18 ms |
12752 KB |
Output is correct |
15 |
Correct |
74 ms |
25476 KB |
Output is correct |
16 |
Correct |
81 ms |
26000 KB |
Output is correct |
17 |
Correct |
92 ms |
26368 KB |
Output is correct |
18 |
Correct |
123 ms |
26676 KB |
Output is correct |
19 |
Correct |
97 ms |
30972 KB |
Output is correct |
20 |
Correct |
104 ms |
30172 KB |
Output is correct |
21 |
Correct |
76 ms |
25596 KB |
Output is correct |
22 |
Correct |
102 ms |
25600 KB |
Output is correct |
23 |
Correct |
79 ms |
25944 KB |
Output is correct |
24 |
Correct |
84 ms |
26108 KB |
Output is correct |
25 |
Correct |
108 ms |
27888 KB |
Output is correct |
26 |
Correct |
76 ms |
25340 KB |
Output is correct |
27 |
Correct |
77 ms |
25344 KB |
Output is correct |
28 |
Correct |
19 ms |
14800 KB |
Output is correct |
29 |
Correct |
41 ms |
15336 KB |
Output is correct |
30 |
Correct |
35 ms |
15360 KB |
Output is correct |
31 |
Correct |
132 ms |
15392 KB |
Output is correct |
32 |
Correct |
132 ms |
15564 KB |
Output is correct |
33 |
Correct |
27 ms |
15364 KB |
Output is correct |
34 |
Correct |
25 ms |
15048 KB |
Output is correct |
35 |
Correct |
84 ms |
27800 KB |
Output is correct |
36 |
Correct |
66 ms |
28492 KB |
Output is correct |
37 |
Correct |
66 ms |
28360 KB |
Output is correct |
38 |
Correct |
18 ms |
14800 KB |
Output is correct |
39 |
Execution timed out |
3557 ms |
37208 KB |
Time limit exceeded |
40 |
Halted |
0 ms |
0 KB |
- |