#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pl pair<long, long>
#define pll pair<ll, ll>
#define f first
#define s second
#define edge pair<ll, pl>
#define query pair<ll, pair<long, pl> >
// edge is <-time, <from, to>>
// query is <-maxt, <idx, <a, b>>>
long parent[200005];
long depth[200005];
bool ress[200005];
long get_root(long i) {
while (parent[parent[i]] != parent[i]) {
parent[i] = parent[parent[i]];
depth[i] --;
i = parent[i];
}
return parent[i];
}
void merge_sets(long i, long j) {
if (depth[i] > depth[j]) {
// should add root of i to j, reducing max depth
long p = get_root(i);
parent[p] = parent[j]; // this way, they share their root
depth[p] = depth[j];
depth[i] = depth[j] + 1;
} else {
long p = get_root(j);
parent[p] = parent[i];
depth[p] = depth[i];
depth[j] = depth[i] + 1;
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
long N, M, U;
cin >> N >> M >> U;
// initialize UFDS
for (long i=1; i<=N; i++) {
parent[i] = i;
depth[i] = 1;
}
priority_queue<edge> edges;
long x, y, t;
for (long i=0; i<M; i++) {
// read in the M edges and sort them by weight
cin >> x >> y >> t;
edges.push(edge(-t, pl(x, y)));
}
// edge is <time, <from, to>>
// query is <maxt, <idx, <a, b>>>
long a, b;
ll maxt;
priority_queue<query> queries;
for (long i=0; i<U; i++) {
cin >> a >> b >> maxt;
queries.push(query(-maxt, pair<long, pl>(i, pl(a, b))));
}
// process the queries (offline)
ll next_p;
while (!queries.empty()) {
//cout << "SOLVING QUERY: " << queries.top().s.f << endl;
next_p = -queries.top().f;
//cout << "NEXT P: " << next_p << endl;
while (!edges.empty()) {
// see if we should add more edges to UFDS
if (-edges.top().f <= next_p) {
// can and should add
// add
//cout << "ADDED EDGE (" << edges.top().s.f << ',' << edges.top().s.s << ") FOR " << -edges.top().f << endl;
merge_sets(edges.top().s.f, edges.top().s.s);
edges.pop();
} else {
break; // shouldn't add anymore
}
}
/*cout << "PARENTS: ";
for (int i=1; i<=N; i++) {
cout << parent[i] << ' ';
}
cout << endl;*/
// now try to find
if (get_root(queries.top().s.s.f) == get_root(queries.top().s.s.s)) {
// same root, so it's possible
//cout << "SAME ROOT YAY" << endl;
ress[queries.top().s.f] = true;
} else {
//cout << "DIFF ROOT NOO" << endl;
ress[queries.top().s.f] = false;
}
queries.pop();
}
for (int i=0; i<U; i++) {
if (ress[i]) {
cout << "TAIP\n";
} else {
cout << "NE\n";
}
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2384 KB |
Output is correct |
2 |
Correct |
2 ms |
2640 KB |
Output is correct |
3 |
Correct |
2 ms |
2640 KB |
Output is correct |
4 |
Correct |
1 ms |
2384 KB |
Output is correct |
5 |
Correct |
64 ms |
13116 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2384 KB |
Output is correct |
2 |
Correct |
1 ms |
2384 KB |
Output is correct |
3 |
Correct |
1 ms |
2384 KB |
Output is correct |
4 |
Correct |
2 ms |
2552 KB |
Output is correct |
5 |
Correct |
1 ms |
2384 KB |
Output is correct |
6 |
Correct |
1 ms |
2596 KB |
Output is correct |
7 |
Correct |
2 ms |
2640 KB |
Output is correct |
8 |
Correct |
2 ms |
2640 KB |
Output is correct |
9 |
Correct |
2 ms |
2640 KB |
Output is correct |
10 |
Correct |
2 ms |
2640 KB |
Output is correct |
11 |
Correct |
2 ms |
2640 KB |
Output is correct |
12 |
Correct |
4 ms |
2832 KB |
Output is correct |
13 |
Correct |
2 ms |
2640 KB |
Output is correct |
14 |
Correct |
3 ms |
2904 KB |
Output is correct |
15 |
Correct |
1 ms |
2384 KB |
Output is correct |
16 |
Correct |
1 ms |
2384 KB |
Output is correct |
17 |
Correct |
1 ms |
2384 KB |
Output is correct |
18 |
Correct |
2 ms |
2384 KB |
Output is correct |
19 |
Correct |
7 ms |
3404 KB |
Output is correct |
20 |
Correct |
1 ms |
2384 KB |
Output is correct |
21 |
Correct |
1 ms |
2384 KB |
Output is correct |
22 |
Correct |
1 ms |
2384 KB |
Output is correct |
23 |
Correct |
1 ms |
2384 KB |
Output is correct |
24 |
Correct |
6 ms |
3404 KB |
Output is correct |
25 |
Correct |
1 ms |
2384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2384 KB |
Output is correct |
2 |
Correct |
2 ms |
2640 KB |
Output is correct |
3 |
Correct |
2 ms |
2640 KB |
Output is correct |
4 |
Correct |
1 ms |
2384 KB |
Output is correct |
5 |
Correct |
64 ms |
13116 KB |
Output is correct |
6 |
Correct |
1 ms |
2384 KB |
Output is correct |
7 |
Correct |
2 ms |
2640 KB |
Output is correct |
8 |
Correct |
2 ms |
2640 KB |
Output is correct |
9 |
Correct |
3 ms |
2640 KB |
Output is correct |
10 |
Correct |
4 ms |
2832 KB |
Output is correct |
11 |
Correct |
3 ms |
2896 KB |
Output is correct |
12 |
Correct |
1 ms |
2384 KB |
Output is correct |
13 |
Correct |
1 ms |
2384 KB |
Output is correct |
14 |
Correct |
1 ms |
2552 KB |
Output is correct |
15 |
Correct |
2 ms |
2384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2384 KB |
Output is correct |
2 |
Correct |
2 ms |
2640 KB |
Output is correct |
3 |
Correct |
2 ms |
2640 KB |
Output is correct |
4 |
Correct |
1 ms |
2384 KB |
Output is correct |
5 |
Correct |
64 ms |
13116 KB |
Output is correct |
6 |
Correct |
1 ms |
2384 KB |
Output is correct |
7 |
Correct |
1 ms |
2384 KB |
Output is correct |
8 |
Correct |
1 ms |
2384 KB |
Output is correct |
9 |
Correct |
2 ms |
2552 KB |
Output is correct |
10 |
Correct |
1 ms |
2384 KB |
Output is correct |
11 |
Correct |
1 ms |
2596 KB |
Output is correct |
12 |
Correct |
2 ms |
2640 KB |
Output is correct |
13 |
Correct |
2 ms |
2640 KB |
Output is correct |
14 |
Correct |
2 ms |
2640 KB |
Output is correct |
15 |
Correct |
2 ms |
2640 KB |
Output is correct |
16 |
Correct |
2 ms |
2640 KB |
Output is correct |
17 |
Correct |
4 ms |
2832 KB |
Output is correct |
18 |
Correct |
2 ms |
2640 KB |
Output is correct |
19 |
Correct |
3 ms |
2904 KB |
Output is correct |
20 |
Correct |
1 ms |
2384 KB |
Output is correct |
21 |
Correct |
1 ms |
2384 KB |
Output is correct |
22 |
Correct |
1 ms |
2384 KB |
Output is correct |
23 |
Correct |
2 ms |
2384 KB |
Output is correct |
24 |
Correct |
7 ms |
3404 KB |
Output is correct |
25 |
Correct |
1 ms |
2384 KB |
Output is correct |
26 |
Correct |
1 ms |
2384 KB |
Output is correct |
27 |
Correct |
1 ms |
2384 KB |
Output is correct |
28 |
Correct |
1 ms |
2384 KB |
Output is correct |
29 |
Correct |
6 ms |
3404 KB |
Output is correct |
30 |
Correct |
1 ms |
2384 KB |
Output is correct |
31 |
Correct |
1 ms |
2384 KB |
Output is correct |
32 |
Correct |
2 ms |
2640 KB |
Output is correct |
33 |
Correct |
2 ms |
2640 KB |
Output is correct |
34 |
Correct |
3 ms |
2640 KB |
Output is correct |
35 |
Correct |
4 ms |
2832 KB |
Output is correct |
36 |
Correct |
3 ms |
2896 KB |
Output is correct |
37 |
Correct |
1 ms |
2384 KB |
Output is correct |
38 |
Correct |
1 ms |
2384 KB |
Output is correct |
39 |
Correct |
1 ms |
2552 KB |
Output is correct |
40 |
Correct |
2 ms |
2384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2384 KB |
Output is correct |
2 |
Correct |
2 ms |
2640 KB |
Output is correct |
3 |
Correct |
2 ms |
2640 KB |
Output is correct |
4 |
Correct |
1 ms |
2384 KB |
Output is correct |
5 |
Correct |
64 ms |
13116 KB |
Output is correct |
6 |
Correct |
1 ms |
2384 KB |
Output is correct |
7 |
Correct |
1 ms |
2384 KB |
Output is correct |
8 |
Correct |
1 ms |
2384 KB |
Output is correct |
9 |
Correct |
2 ms |
2552 KB |
Output is correct |
10 |
Correct |
1 ms |
2384 KB |
Output is correct |
11 |
Correct |
1 ms |
2596 KB |
Output is correct |
12 |
Correct |
2 ms |
2640 KB |
Output is correct |
13 |
Correct |
2 ms |
2640 KB |
Output is correct |
14 |
Correct |
2 ms |
2640 KB |
Output is correct |
15 |
Correct |
2 ms |
2640 KB |
Output is correct |
16 |
Correct |
2 ms |
2640 KB |
Output is correct |
17 |
Correct |
4 ms |
2832 KB |
Output is correct |
18 |
Correct |
2 ms |
2640 KB |
Output is correct |
19 |
Correct |
3 ms |
2904 KB |
Output is correct |
20 |
Correct |
1 ms |
2384 KB |
Output is correct |
21 |
Correct |
1 ms |
2384 KB |
Output is correct |
22 |
Correct |
1 ms |
2384 KB |
Output is correct |
23 |
Correct |
2 ms |
2384 KB |
Output is correct |
24 |
Correct |
7 ms |
3404 KB |
Output is correct |
25 |
Correct |
1 ms |
2384 KB |
Output is correct |
26 |
Correct |
1 ms |
2384 KB |
Output is correct |
27 |
Correct |
1 ms |
2384 KB |
Output is correct |
28 |
Correct |
1 ms |
2384 KB |
Output is correct |
29 |
Correct |
6 ms |
3404 KB |
Output is correct |
30 |
Correct |
1 ms |
2384 KB |
Output is correct |
31 |
Correct |
1 ms |
2384 KB |
Output is correct |
32 |
Correct |
2 ms |
2640 KB |
Output is correct |
33 |
Correct |
2 ms |
2640 KB |
Output is correct |
34 |
Correct |
3 ms |
2640 KB |
Output is correct |
35 |
Correct |
4 ms |
2832 KB |
Output is correct |
36 |
Correct |
3 ms |
2896 KB |
Output is correct |
37 |
Correct |
1 ms |
2384 KB |
Output is correct |
38 |
Correct |
1 ms |
2384 KB |
Output is correct |
39 |
Correct |
1 ms |
2552 KB |
Output is correct |
40 |
Correct |
2 ms |
2384 KB |
Output is correct |
41 |
Correct |
176 ms |
23980 KB |
Output is correct |
42 |
Correct |
11 ms |
3952 KB |
Output is correct |
43 |
Correct |
13 ms |
3528 KB |
Output is correct |
44 |
Correct |
21 ms |
4040 KB |
Output is correct |
45 |
Correct |
15 ms |
4040 KB |
Output is correct |
46 |
Correct |
9 ms |
3404 KB |
Output is correct |
47 |
Correct |
120 ms |
18360 KB |
Output is correct |
48 |
Correct |
10 ms |
4040 KB |
Output is correct |
49 |
Correct |
113 ms |
23984 KB |
Output is correct |