#include <bits/stdc++.h>
using namespace std;
#define int long long
const int MAX = 200005, LOG = 21;
vector<int> depth(MAX, 0);
vector<vector<pair<int, int>>> twok(LOG, vector<pair<int, int>>(MAX, make_pair(-1, INT_MAX)));
vector<vector<pair<int, int>>> adjList(MAX), MSTList(MAX);
vector<int> ufdspa(200005), ufdsrk(200005);
int root(int n) {
if (ufdspa[n] == n) return n;
return ufdspa[n] = root(ufdspa[n]);
}
void merge(int a, int b) {
int x = root(a), y = root(b);
if (x == y) return;
if (ufdsrk[x] > ufdsrk[y]) ufdspa[y] = x;
else if (ufdsrk[x] < ufdsrk[y]) ufdspa[x] = y;
else {
ufdspa[x] = y;
ufdsrk[y]++;
}
}
void rec(int n, int p = -1) {
for (pair<int, int> adj: MSTList[n]) {
if (adj.second == p) continue;
//cout << adj.first << "***\n";
twok[0][adj.second] = make_pair(n, adj.first);
depth[adj.second] = depth[n] + 1;
rec(adj.second, n);
}
}
pair<int, int> kpar(int x, int k){
//cout << x << '-' << k << endl;
int L = INT_MIN;
for (int j = 0; j < LOG; j++){
if (x == -1) break;
if (k & (1 << j)) {
L = max(L, twok[j][x].second);
x = twok[j][x].first;
}
}
//cout << "kpar returns " << x << " " << L << endl;
return make_pair(x, L);
}
int ans(int a, int b) {
if (root(a) != root(b)) return INT_MAX;
if (depth[a] < depth[b]) swap(a, b);
pair<int, int> p = kpar(a, depth[a] - depth[b]);
//cout << depth[a] - depth[b] << "th ";
a = p.first;
//cout << "PARENT IS: " << a << '\n';
int L = p.second;
if (a == b) return L;
for (int k = LOG - 1; k >= 0; k--){
if (twok[k][a].first != twok[k][b].first){
L = max(L, max(twok[k][a].second, twok[k][b].second));
a = twok[k][a].first; b = twok[k][b].first;
}
}
if (twok[LOG - 1][a].first != twok[LOG - 1][b].first) return INT_MAX;
return L;
}
signed main() {
int N, M, U, X, Y, T, A, B, P;
pair<int, pair<int, int>> curr;
cin >> N >> M >> U;
vector<bool> vis(N);
for (int i = 0; i < M; i++) {
cin >> X >> Y >> T;
--X; --Y;
adjList[X].emplace_back(T, Y);
adjList[Y].emplace_back(T, X);
}
for (int i = 0; i < N; i++) ufdspa[i] = i;
priority_queue<pair<int, pair<int, int>>, vector<pair<int, pair<int, int>>>, greater<pair<int, pair<int, int>>>> pq;
for (int k = 0; k < N; k++) {
if (vis[k]) continue;
pq = priority_queue<pair<int, pair<int, int>>, vector<pair<int, pair<int, int>>>, greater<pair<int, pair<int, int>>>>();
pq.emplace(0, make_pair(k, k));
while (!pq.empty()) {
curr = pq.top();
pq.pop();
if (vis[curr.second.second]) continue;
vis[curr.second.second] = 1;
if (curr.second.first != k || curr.second.second != k) {
MSTList[curr.second.first].emplace_back(curr.first, curr.second.second);
MSTList[curr.second.second].emplace_back(curr.first, curr.second.first);
merge(curr.second.first, curr.second.second);
}
for (pair<int, int> adj: adjList[curr.second.second]) {
if (vis[adj.second]) continue;
pq.emplace(adj.first, make_pair(curr.second.second, adj.second));
}
}
rec(k);
}
for (int i = 0; i < N; i++) {
for (int j = 1; j < 20; j++) {
if (twok[j - 1][i].first == -1) break;
twok[j][i].first = twok[j - 1][twok[j - 1][i].first].first;
twok[j][i].second = max(twok[j - 1][i].second, twok[j - 1][twok[j - 1][i].first].second);
}
}
/*for (int i = 0 ; i < N; i++) {
cout << "(" << i << "): ";
for (int j = 0; j < LOG; j++) cout << twok[j][i].first << " [" << twok[j][i].second << "] ";
cout << endl;
}*/
//for (int i = 0; i < N; i++) cout << depth[i] << " " << endl;
while (U--) {
cin >> A >> B >> P;
//cout << (ans(--A, --B)) << endl;
cout << (ans(--A, --B) > P ? "NE" : "TAIP") << endl;
}
//for (int i = 0; i < N; i++) cout << pa[i] << " ";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
25 ms |
80144 KB |
Output is correct |
2 |
Incorrect |
27 ms |
80664 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
80228 KB |
Output is correct |
2 |
Correct |
25 ms |
80332 KB |
Output is correct |
3 |
Incorrect |
27 ms |
80428 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
25 ms |
80144 KB |
Output is correct |
2 |
Incorrect |
27 ms |
80664 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
25 ms |
80144 KB |
Output is correct |
2 |
Incorrect |
27 ms |
80664 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
25 ms |
80144 KB |
Output is correct |
2 |
Incorrect |
27 ms |
80664 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |