#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("Ofast")
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef long long ll;
#define int ll
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define pb push_back
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define mispertion ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0)
#define F first
#define S second
#define getlast(s) (*s.rbegin())
#define debg cout << "OK\n"
const ld PI = 3.1415926535;
const int N = 3e5 + 10;
const int M = 1e5 + 10;
int mod = 998244353;
const int infi = INT_MAX;
const ll infl = 1e16;
const int P = 2;
int mult(int a, int b){
return a * 1LL * b % mod;
}
int sum(int a, int b){
if(a + b >= mod)
return a + b - mod;
if(a + b < 0)
return a + b + mod;
return a + b;
}
int binpow(int a, int n){
if (n == 0)
return 1;
if (n % 2 == 1){
return mult(binpow(a, n - 1), a);
}
else{
auto b = binpow(a, n / 2);
return mult(b, b);
}
}
const int K = 21;
int n, q, up[N][K], tin[N], tout[N], tick, d[N], edg[N];
vector<int> g[N];
pair<char, pii> qs[N];
struct dsu{
int p[N], sz[N];
pii mnd[N];
dsu(int n){
for(int i = 1; i <= n; i++){
p[i] = i;
sz[i] = 1;
mnd[i] = {d[i], i};
}
}
int getp(int v){
if(p[v] == v)
return v;
return p[v] = getp(p[v]);
}
void uni(int a, int b){
a = getp(a);
b = getp(b);
if(a == b)
return;
if(sz[a] > sz[b])
swap(a, b);
p[a] = b;
sz[b] += sz[a];
mnd[b] = min(mnd[b], mnd[a]);
}
};
void dfs(int v, int p){
tin[v] = ++tick;
up[v][0] = p;
for(int k = 1; k < K; k++)
up[v][k] = up[up[v][k - 1]][k - 1];
for(auto u : g[v]){
if(u == p) continue;
d[u] = d[v] + 1;
dfs(u, v);
}
tout[v] = tick;
}
bool isasc(int p, int v){
return (tin[p] <= tin[v] && tout[v] <= tout[p]);
}
int prlca(int v, int u){
for(int k = K - 1; k >= 0; k--){
if(!isasc(up[v][k], u))
v = up[v][k];
}
return v;
}
void solve(){
//freopen("in.txt", "r", stdin);
cin >> n >> q;
for(int i = 1; i <= n + q - 1; i++){
char tp;
cin >> tp;
int a, b;
if(tp == 'S'){
cin >> a >> b;
g[a].pb(b);
g[b].pb(a);
}else if(tp == 'Q'){
cin >> a >> b;
}else{
cin >> a;
}
qs[i] = {tp, {a, b}};
}
dfs(1, 1);
dsu inc = dsu(n);
dsu dec = dsu(n);
int cur = 0;
for(int i = 1; i <= n + q - 1; i++){
if(qs[i].F == 'S'){
int u = qs[i].S.F, v = qs[i].S.S;
if(up[v][0] != u)
swap(u, v);
edg[v] = ++cur;
for(auto to : g[v]){
if(to == u) continue;
if(edg[to]){
inc.uni(v, to);
}
}
if(edg[u])
dec.uni(v, u);
}else if(qs[i].F == 'Q'){
int fr = qs[i].S.S, to = qs[i].S.F;
if(isasc(fr, to)){
int v = dec.mnd[dec.getp(to)].S;
if(isasc(v, fr)){
cout << "yes\n";
continue;
}
if(up[v][0] != fr){
cout << "no\n";
continue;
}
if(edg[v]){
cout << "yes\n";
}else{
cout << "no\n";
}
}else if(isasc(to, fr)){
int v = inc.mnd[inc.getp(fr)].S;
if(isasc(v, to)){
cout << "yes\n";
continue;
}
if(up[v][0] != to){
cout << "no\n";
continue;
}
if(edg[v]){
cout << "yes\n";
}else{
cout << "no\n";
}
}else{
int ufr = inc.mnd[inc.getp(fr)].S;
int uto = dec.mnd[dec.getp(to)].S;
int lfr = prlca(fr, to);
int lto = prlca(to, fr);
if(!isasc(ufr, lfr) || !isasc(uto, lto)){
cout << "no\n";
continue;
}
if(edg[lfr] && edg[lto] && edg[lfr] < edg[lto]){
cout << "yes\n";
}else{
cout << "no\n";
}
}
}else{
cout << 0 << '\n';
}
}
}
signed main(){
mispertion;
int t = 1;
//cin >> t;
while (t--){
solve();
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
30404 KB |
Output is correct |
2 |
Correct |
62 ms |
31824 KB |
Output is correct |
3 |
Correct |
64 ms |
31848 KB |
Output is correct |
4 |
Correct |
59 ms |
31828 KB |
Output is correct |
5 |
Correct |
31 ms |
31824 KB |
Output is correct |
6 |
Correct |
52 ms |
31836 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
30404 KB |
Output is correct |
2 |
Correct |
62 ms |
31824 KB |
Output is correct |
3 |
Correct |
64 ms |
31848 KB |
Output is correct |
4 |
Correct |
59 ms |
31828 KB |
Output is correct |
5 |
Correct |
31 ms |
31824 KB |
Output is correct |
6 |
Correct |
52 ms |
31836 KB |
Output is correct |
7 |
Incorrect |
42 ms |
30292 KB |
Extra information in the output file |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
47 ms |
30276 KB |
Output is correct |
2 |
Correct |
123 ms |
63172 KB |
Output is correct |
3 |
Correct |
134 ms |
63424 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
47 ms |
30276 KB |
Output is correct |
2 |
Correct |
123 ms |
63172 KB |
Output is correct |
3 |
Correct |
134 ms |
63424 KB |
Output is correct |
4 |
Incorrect |
45 ms |
30292 KB |
Extra information in the output file |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
28 ms |
30288 KB |
Output is correct |
2 |
Correct |
108 ms |
68432 KB |
Output is correct |
3 |
Correct |
104 ms |
68432 KB |
Output is correct |
4 |
Correct |
97 ms |
68440 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
28 ms |
30288 KB |
Output is correct |
2 |
Correct |
108 ms |
68432 KB |
Output is correct |
3 |
Correct |
104 ms |
68432 KB |
Output is correct |
4 |
Correct |
97 ms |
68440 KB |
Output is correct |
5 |
Incorrect |
28 ms |
30300 KB |
Extra information in the output file |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
42 ms |
30288 KB |
Output is correct |
2 |
Correct |
123 ms |
63572 KB |
Output is correct |
3 |
Correct |
114 ms |
64124 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
42 ms |
30288 KB |
Output is correct |
2 |
Correct |
123 ms |
63572 KB |
Output is correct |
3 |
Correct |
114 ms |
64124 KB |
Output is correct |
4 |
Incorrect |
43 ms |
30288 KB |
Extra information in the output file |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
25 ms |
30300 KB |
Output is correct |
2 |
Correct |
144 ms |
68560 KB |
Output is correct |
3 |
Correct |
122 ms |
68496 KB |
Output is correct |
4 |
Correct |
78 ms |
68432 KB |
Output is correct |
5 |
Correct |
44 ms |
30292 KB |
Output is correct |
6 |
Correct |
107 ms |
63728 KB |
Output is correct |
7 |
Correct |
118 ms |
64080 KB |
Output is correct |
8 |
Correct |
171 ms |
64588 KB |
Output is correct |
9 |
Correct |
136 ms |
64596 KB |
Output is correct |
10 |
Correct |
125 ms |
67736 KB |
Output is correct |
11 |
Correct |
177 ms |
67308 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
25 ms |
30300 KB |
Output is correct |
2 |
Correct |
144 ms |
68560 KB |
Output is correct |
3 |
Correct |
122 ms |
68496 KB |
Output is correct |
4 |
Correct |
78 ms |
68432 KB |
Output is correct |
5 |
Correct |
44 ms |
30292 KB |
Output is correct |
6 |
Correct |
107 ms |
63728 KB |
Output is correct |
7 |
Correct |
118 ms |
64080 KB |
Output is correct |
8 |
Correct |
171 ms |
64588 KB |
Output is correct |
9 |
Correct |
136 ms |
64596 KB |
Output is correct |
10 |
Correct |
125 ms |
67736 KB |
Output is correct |
11 |
Correct |
177 ms |
67308 KB |
Output is correct |
12 |
Incorrect |
27 ms |
30292 KB |
Extra information in the output file |
13 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
47 ms |
30400 KB |
Output is correct |
2 |
Correct |
63 ms |
31824 KB |
Output is correct |
3 |
Correct |
52 ms |
31900 KB |
Output is correct |
4 |
Correct |
57 ms |
31828 KB |
Output is correct |
5 |
Correct |
34 ms |
31848 KB |
Output is correct |
6 |
Correct |
65 ms |
31956 KB |
Output is correct |
7 |
Correct |
48 ms |
30348 KB |
Output is correct |
8 |
Correct |
119 ms |
63424 KB |
Output is correct |
9 |
Correct |
110 ms |
63176 KB |
Output is correct |
10 |
Correct |
27 ms |
30300 KB |
Output is correct |
11 |
Correct |
118 ms |
68360 KB |
Output is correct |
12 |
Correct |
133 ms |
68692 KB |
Output is correct |
13 |
Correct |
104 ms |
68432 KB |
Output is correct |
14 |
Correct |
43 ms |
30288 KB |
Output is correct |
15 |
Correct |
104 ms |
63588 KB |
Output is correct |
16 |
Correct |
105 ms |
64284 KB |
Output is correct |
17 |
Correct |
162 ms |
64596 KB |
Output is correct |
18 |
Correct |
164 ms |
64596 KB |
Output is correct |
19 |
Correct |
138 ms |
67668 KB |
Output is correct |
20 |
Correct |
197 ms |
67156 KB |
Output is correct |
21 |
Correct |
124 ms |
63812 KB |
Output is correct |
22 |
Correct |
145 ms |
63924 KB |
Output is correct |
23 |
Correct |
131 ms |
64084 KB |
Output is correct |
24 |
Correct |
129 ms |
64136 KB |
Output is correct |
25 |
Correct |
134 ms |
64972 KB |
Output is correct |
26 |
Correct |
138 ms |
63572 KB |
Output is correct |
27 |
Correct |
102 ms |
63572 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
47 ms |
30400 KB |
Output is correct |
2 |
Correct |
63 ms |
31824 KB |
Output is correct |
3 |
Correct |
52 ms |
31900 KB |
Output is correct |
4 |
Correct |
57 ms |
31828 KB |
Output is correct |
5 |
Correct |
34 ms |
31848 KB |
Output is correct |
6 |
Correct |
65 ms |
31956 KB |
Output is correct |
7 |
Correct |
48 ms |
30348 KB |
Output is correct |
8 |
Correct |
119 ms |
63424 KB |
Output is correct |
9 |
Correct |
110 ms |
63176 KB |
Output is correct |
10 |
Correct |
27 ms |
30300 KB |
Output is correct |
11 |
Correct |
118 ms |
68360 KB |
Output is correct |
12 |
Correct |
133 ms |
68692 KB |
Output is correct |
13 |
Correct |
104 ms |
68432 KB |
Output is correct |
14 |
Correct |
43 ms |
30288 KB |
Output is correct |
15 |
Correct |
104 ms |
63588 KB |
Output is correct |
16 |
Correct |
105 ms |
64284 KB |
Output is correct |
17 |
Correct |
162 ms |
64596 KB |
Output is correct |
18 |
Correct |
164 ms |
64596 KB |
Output is correct |
19 |
Correct |
138 ms |
67668 KB |
Output is correct |
20 |
Correct |
197 ms |
67156 KB |
Output is correct |
21 |
Correct |
124 ms |
63812 KB |
Output is correct |
22 |
Correct |
145 ms |
63924 KB |
Output is correct |
23 |
Correct |
131 ms |
64084 KB |
Output is correct |
24 |
Correct |
129 ms |
64136 KB |
Output is correct |
25 |
Correct |
134 ms |
64972 KB |
Output is correct |
26 |
Correct |
138 ms |
63572 KB |
Output is correct |
27 |
Correct |
102 ms |
63572 KB |
Output is correct |
28 |
Incorrect |
45 ms |
30292 KB |
Extra information in the output file |
29 |
Halted |
0 ms |
0 KB |
- |