#include <bits/stdc++.h>
#define pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;
int n, q;
vector<vector<pair<int, int>>> v;
vector<int> sz;
vector<vector<pair<int, int>>> queires;
vector<bool> marked, ans;
vector<int> qa;
vector<bool> isdec, isinc;
vector<int> mx, mn;
vector<int> centroid_id, anc_id;
void pre_centroid(int nd, int ss){
sz[nd] = 1;
isdec[nd] = 1;
isinc[nd] = 1;
mx[nd] = -1;
mn[nd] = 1e9;
for(auto [x, w]: v[nd]) if(x != ss && !marked[x]) pre_centroid(x, nd);
for(auto [x, w]: v[nd]) if(x != ss && !marked[x]) sz[nd]+=sz[x];
}
int centroid(int nd, int ss, int total){
int mx = 0;
for(auto [x, w]: v[nd]) if(x != ss && !marked[x]) mx = max(mx, sz[x]);
if(mx <= total/2 && total-sz[nd] <= total/2) return nd;
for(auto [x, w]: v[nd]) if(x != ss && !marked[x]){
int cur = centroid(x, nd, total);
if(cur != -1) return cur;
}
return -1;
}
void dfs1(int nd, int ss, int anc, int _mx, int _mn, bool isDec, bool isInc){
isdec[nd] = isDec;
isinc[nd] = isInc;
mx[nd] = _mx;
mn[nd] = _mn;
anc_id[nd] = anc;
centroid_id[nd] = (ss == -1?nd:centroid_id[ss]);
for(auto [x, w]: v[nd]) if(x != ss && !marked[x]){
dfs1(x, nd, anc==-1?x:anc, max(_mx, w), min(_mn, w), isDec & (w < _mn), isInc & (w > _mx));
}
}
void dfs2(int nd, int ss){
for(auto [in, d]: queires[nd]){
if(centroid_id[d] != centroid_id[nd]) continue;
if(anc_id[nd] == anc_id[d]) continue;
if(in <= max(mx[d], mx[nd])) continue;
if(!isdec[d]) continue;
if(!isinc[nd]) continue;
if(mx[d] >= mn[nd]) continue;
ans[qa[in]] = 1;
}
for(auto [x, w]: v[nd]) if(x != ss && !marked[x]) dfs2(x, nd);
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> q; q+=n-1;
v.assign(n, {});
sz.assign(n, 1);
queires.assign(n, {});
marked.assign(n, 0);
qa.assign(q, -1);
isdec.assign(n, 1);
isinc.assign(n, 1);
mx.assign(n, -1);
mn.assign(n, 1e9);
centroid_id.assign(n, -1);
anc_id.assign(n, -1);
for(int i = 0; i < q; i++){
char tt; int a, b; cin >> tt >> a >> b; a--, b--;
if(tt == 'S'){
v[a].pb({b, i});
v[b].pb({a, i});
}
else{
queires[a].pb({i, b});
qa[i] = ans.size();
ans.pb(a == b);
}
}
queue<int> Q;
Q.push(0);
while(!Q.empty()){
int x = Q.front();
Q.pop();
pre_centroid(x, -1);
int c = centroid(x, -1, sz[x]);
dfs1(c, -1, -1, -1, 1e9, 1, 1);
dfs2(c, -1);
marked[c] = 1;
for(auto [x, w]: v[c]) if(!marked[x]) Q.push(x);
}
for(auto bl: ans) cout << (bl?"yes\n":"no\n");
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
2772 KB |
Output is correct |
2 |
Correct |
39 ms |
4236 KB |
Output is correct |
3 |
Correct |
38 ms |
4096 KB |
Output is correct |
4 |
Correct |
41 ms |
4316 KB |
Output is correct |
5 |
Correct |
38 ms |
4464 KB |
Output is correct |
6 |
Correct |
40 ms |
4264 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
2772 KB |
Output is correct |
2 |
Correct |
39 ms |
4236 KB |
Output is correct |
3 |
Correct |
38 ms |
4096 KB |
Output is correct |
4 |
Correct |
41 ms |
4316 KB |
Output is correct |
5 |
Correct |
38 ms |
4464 KB |
Output is correct |
6 |
Correct |
40 ms |
4264 KB |
Output is correct |
7 |
Runtime error |
2 ms |
1492 KB |
Execution killed with signal 11 |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
22 ms |
2764 KB |
Output is correct |
2 |
Correct |
178 ms |
20140 KB |
Output is correct |
3 |
Correct |
137 ms |
20008 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
22 ms |
2764 KB |
Output is correct |
2 |
Correct |
178 ms |
20140 KB |
Output is correct |
3 |
Correct |
137 ms |
20008 KB |
Output is correct |
4 |
Runtime error |
2 ms |
1492 KB |
Execution killed with signal 11 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
22 ms |
2772 KB |
Output is correct |
2 |
Correct |
501 ms |
24368 KB |
Output is correct |
3 |
Correct |
564 ms |
24432 KB |
Output is correct |
4 |
Correct |
273 ms |
26828 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
22 ms |
2772 KB |
Output is correct |
2 |
Correct |
501 ms |
24368 KB |
Output is correct |
3 |
Correct |
564 ms |
24432 KB |
Output is correct |
4 |
Correct |
273 ms |
26828 KB |
Output is correct |
5 |
Runtime error |
2 ms |
1492 KB |
Execution killed with signal 11 |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
29 ms |
2772 KB |
Output is correct |
2 |
Correct |
283 ms |
20404 KB |
Output is correct |
3 |
Correct |
464 ms |
20384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
29 ms |
2772 KB |
Output is correct |
2 |
Correct |
283 ms |
20404 KB |
Output is correct |
3 |
Correct |
464 ms |
20384 KB |
Output is correct |
4 |
Runtime error |
2 ms |
1608 KB |
Execution killed with signal 11 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
21 ms |
2780 KB |
Output is correct |
2 |
Correct |
552 ms |
24280 KB |
Output is correct |
3 |
Correct |
491 ms |
24288 KB |
Output is correct |
4 |
Correct |
267 ms |
26696 KB |
Output is correct |
5 |
Correct |
25 ms |
3648 KB |
Output is correct |
6 |
Correct |
265 ms |
20404 KB |
Output is correct |
7 |
Correct |
383 ms |
20388 KB |
Output is correct |
8 |
Correct |
482 ms |
21136 KB |
Output is correct |
9 |
Correct |
510 ms |
20976 KB |
Output is correct |
10 |
Correct |
540 ms |
25088 KB |
Output is correct |
11 |
Correct |
663 ms |
24328 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
21 ms |
2780 KB |
Output is correct |
2 |
Correct |
552 ms |
24280 KB |
Output is correct |
3 |
Correct |
491 ms |
24288 KB |
Output is correct |
4 |
Correct |
267 ms |
26696 KB |
Output is correct |
5 |
Correct |
25 ms |
3648 KB |
Output is correct |
6 |
Correct |
265 ms |
20404 KB |
Output is correct |
7 |
Correct |
383 ms |
20388 KB |
Output is correct |
8 |
Correct |
482 ms |
21136 KB |
Output is correct |
9 |
Correct |
510 ms |
20976 KB |
Output is correct |
10 |
Correct |
540 ms |
25088 KB |
Output is correct |
11 |
Correct |
663 ms |
24328 KB |
Output is correct |
12 |
Runtime error |
2 ms |
1572 KB |
Execution killed with signal 11 |
13 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
24 ms |
2820 KB |
Output is correct |
2 |
Correct |
37 ms |
3796 KB |
Output is correct |
3 |
Correct |
34 ms |
3664 KB |
Output is correct |
4 |
Correct |
42 ms |
3996 KB |
Output is correct |
5 |
Correct |
50 ms |
4072 KB |
Output is correct |
6 |
Correct |
31 ms |
3948 KB |
Output is correct |
7 |
Correct |
24 ms |
3356 KB |
Output is correct |
8 |
Correct |
136 ms |
19956 KB |
Output is correct |
9 |
Correct |
157 ms |
20032 KB |
Output is correct |
10 |
Correct |
21 ms |
3632 KB |
Output is correct |
11 |
Correct |
459 ms |
26912 KB |
Output is correct |
12 |
Correct |
520 ms |
26920 KB |
Output is correct |
13 |
Correct |
253 ms |
26872 KB |
Output is correct |
14 |
Correct |
23 ms |
3660 KB |
Output is correct |
15 |
Correct |
276 ms |
20460 KB |
Output is correct |
16 |
Correct |
391 ms |
20372 KB |
Output is correct |
17 |
Correct |
407 ms |
21032 KB |
Output is correct |
18 |
Correct |
426 ms |
20944 KB |
Output is correct |
19 |
Correct |
499 ms |
25036 KB |
Output is correct |
20 |
Correct |
488 ms |
24372 KB |
Output is correct |
21 |
Correct |
154 ms |
20536 KB |
Output is correct |
22 |
Correct |
176 ms |
20524 KB |
Output is correct |
23 |
Correct |
258 ms |
20428 KB |
Output is correct |
24 |
Correct |
287 ms |
20576 KB |
Output is correct |
25 |
Correct |
529 ms |
27408 KB |
Output is correct |
26 |
Correct |
414 ms |
19532 KB |
Output is correct |
27 |
Correct |
343 ms |
19388 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
24 ms |
2820 KB |
Output is correct |
2 |
Correct |
37 ms |
3796 KB |
Output is correct |
3 |
Correct |
34 ms |
3664 KB |
Output is correct |
4 |
Correct |
42 ms |
3996 KB |
Output is correct |
5 |
Correct |
50 ms |
4072 KB |
Output is correct |
6 |
Correct |
31 ms |
3948 KB |
Output is correct |
7 |
Correct |
24 ms |
3356 KB |
Output is correct |
8 |
Correct |
136 ms |
19956 KB |
Output is correct |
9 |
Correct |
157 ms |
20032 KB |
Output is correct |
10 |
Correct |
21 ms |
3632 KB |
Output is correct |
11 |
Correct |
459 ms |
26912 KB |
Output is correct |
12 |
Correct |
520 ms |
26920 KB |
Output is correct |
13 |
Correct |
253 ms |
26872 KB |
Output is correct |
14 |
Correct |
23 ms |
3660 KB |
Output is correct |
15 |
Correct |
276 ms |
20460 KB |
Output is correct |
16 |
Correct |
391 ms |
20372 KB |
Output is correct |
17 |
Correct |
407 ms |
21032 KB |
Output is correct |
18 |
Correct |
426 ms |
20944 KB |
Output is correct |
19 |
Correct |
499 ms |
25036 KB |
Output is correct |
20 |
Correct |
488 ms |
24372 KB |
Output is correct |
21 |
Correct |
154 ms |
20536 KB |
Output is correct |
22 |
Correct |
176 ms |
20524 KB |
Output is correct |
23 |
Correct |
258 ms |
20428 KB |
Output is correct |
24 |
Correct |
287 ms |
20576 KB |
Output is correct |
25 |
Correct |
529 ms |
27408 KB |
Output is correct |
26 |
Correct |
414 ms |
19532 KB |
Output is correct |
27 |
Correct |
343 ms |
19388 KB |
Output is correct |
28 |
Runtime error |
2 ms |
1492 KB |
Execution killed with signal 11 |
29 |
Halted |
0 ms |
0 KB |
- |