#include <bits/stdc++.h>
#ifndef LOCAL
#include "swap.h"
#endif
using namespace std;
// ******************** Constants ********************
const int MXN = 100000;
const int MXM = 200000;
const int MXS = 300000;
const int lg = 20;
int nxtnode = 0;
// ******************** global variables ********************
vector<int> g[MXS];
// ******************** LCA ********************
int up[lg][MXS], tin[MXS], tout[MXS], timer = 0;
void dfs(int node, int par){
tin[node] = timer++;
up[0][node] = par;
for(int i = 1; i < lg; i++)
up[i][node] = up[i-1][up[i-1][node]];
for(int v : g[node]){
if(v == par)
continue;
dfs(v, node);
}
tout[node] = timer;
}
inline bool isAncestor(int u, int v){
return tin[u] <= tin[v] && tout[u] >= tout[v];
}
int lca(int u, int v){
if(isAncestor(u, v))
return u;
if(isAncestor(v, u))
return v;
for(int i = lg-1; i >= 0; --i)
if(!isAncestor(up[i][u], v))
u = up[i][u];
return up[0][u];
}
// ******************** KRT ********************
vector<bool> has(MXS);
int par[MXS], val[MXS];
void init(){
for(int i = 0; i < MXS; i++)
par[i] = i;
}
int get(int x){
return (par[x] == x ? x : par[x] = get(par[x]));
}
void unite(int u, int v, int w){
u = get(u), v = get(v);
if(u == v){
g[nxtnode].push_back(u);
par[u] = nxtnode;
has[nxtnode] = 1;
val[nxtnode] = w;
nxtnode++;
return;
}
g[nxtnode].push_back(u);
g[nxtnode].push_back(v);
has[nxtnode] = has[u] | has[v];
val[nxtnode] = w;
par[u] = par[v] = nxtnode;
nxtnode++;
return;
}
int minup(int node){
for(int i = lg-1; i >= 0; --i)
if(has[up[i][node]] == 0)
node = up[i][node];
if(has[up[0][node]] == 0) return -1;
return up[0][node];
}
// ******************** ********************
void init(int N, int M, vector<int> U, vector<int> V, vector<int> W){
vector<array<int, 3>> edges(M);
for(int i = 0; i < M; i++)
edges[i] = {W[i], U[i], V[i]};
nxtnode = N;
init();
sort(edges.begin(), edges.end());
for(auto& [w, u, v] : edges){
unite(u, v, w);
}
dfs(nxtnode-1, nxtnode-1);
}
int getMinimumFuelCapacity(int X, int Y){
int Z = lca(X, Y);
int W = minup(Z);
if(W == -1) return -1;
return val[W];
}
#ifdef LOCAL
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int N, M;
cin >> N >> M;
vector<int> U(M), V(M), W(M);
for(int i = 0; i < M; i++)
cin >> U[i] >> V[i] >> W[i];
init(N, M, U, V, W);
int Q;
cin >> Q;
while(Q--){
int X, Y;
cin >> X >> Y;
cout << getMinimumFuelCapacity(X, Y) << '\n';
}
return 0;
}
#endif
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
8676 KB |
Output is correct |
2 |
Correct |
6 ms |
8652 KB |
Output is correct |
3 |
Correct |
6 ms |
8652 KB |
Output is correct |
4 |
Correct |
6 ms |
8748 KB |
Output is correct |
5 |
Correct |
7 ms |
8908 KB |
Output is correct |
6 |
Correct |
7 ms |
8908 KB |
Output is correct |
7 |
Correct |
7 ms |
8960 KB |
Output is correct |
8 |
Correct |
7 ms |
8908 KB |
Output is correct |
9 |
Correct |
140 ms |
29380 KB |
Output is correct |
10 |
Correct |
155 ms |
33992 KB |
Output is correct |
11 |
Correct |
150 ms |
33572 KB |
Output is correct |
12 |
Correct |
163 ms |
35044 KB |
Output is correct |
13 |
Correct |
128 ms |
37404 KB |
Output is correct |
14 |
Correct |
163 ms |
29636 KB |
Output is correct |
15 |
Correct |
375 ms |
37996 KB |
Output is correct |
16 |
Correct |
471 ms |
37276 KB |
Output is correct |
17 |
Correct |
404 ms |
39000 KB |
Output is correct |
18 |
Correct |
514 ms |
41284 KB |
Output is correct |
19 |
Correct |
148 ms |
17728 KB |
Output is correct |
20 |
Correct |
395 ms |
38220 KB |
Output is correct |
21 |
Correct |
411 ms |
37644 KB |
Output is correct |
22 |
Correct |
398 ms |
39356 KB |
Output is correct |
23 |
Correct |
540 ms |
41620 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
8676 KB |
Output is correct |
2 |
Correct |
6 ms |
8652 KB |
Output is correct |
3 |
Incorrect |
523 ms |
41264 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
8676 KB |
Output is correct |
2 |
Correct |
6 ms |
8652 KB |
Output is correct |
3 |
Correct |
6 ms |
8652 KB |
Output is correct |
4 |
Correct |
6 ms |
8748 KB |
Output is correct |
5 |
Correct |
7 ms |
8908 KB |
Output is correct |
6 |
Correct |
7 ms |
8908 KB |
Output is correct |
7 |
Correct |
7 ms |
8960 KB |
Output is correct |
8 |
Correct |
7 ms |
8908 KB |
Output is correct |
9 |
Correct |
6 ms |
8680 KB |
Output is correct |
10 |
Incorrect |
6 ms |
8852 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
8680 KB |
Output is correct |
2 |
Correct |
6 ms |
8676 KB |
Output is correct |
3 |
Correct |
6 ms |
8652 KB |
Output is correct |
4 |
Correct |
6 ms |
8652 KB |
Output is correct |
5 |
Correct |
6 ms |
8748 KB |
Output is correct |
6 |
Correct |
7 ms |
8908 KB |
Output is correct |
7 |
Correct |
7 ms |
8908 KB |
Output is correct |
8 |
Correct |
7 ms |
8960 KB |
Output is correct |
9 |
Correct |
7 ms |
8908 KB |
Output is correct |
10 |
Correct |
140 ms |
29380 KB |
Output is correct |
11 |
Correct |
155 ms |
33992 KB |
Output is correct |
12 |
Correct |
150 ms |
33572 KB |
Output is correct |
13 |
Correct |
163 ms |
35044 KB |
Output is correct |
14 |
Correct |
128 ms |
37404 KB |
Output is correct |
15 |
Incorrect |
6 ms |
8852 KB |
Output isn't correct |
16 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
8676 KB |
Output is correct |
2 |
Correct |
6 ms |
8652 KB |
Output is correct |
3 |
Correct |
6 ms |
8652 KB |
Output is correct |
4 |
Correct |
6 ms |
8748 KB |
Output is correct |
5 |
Correct |
7 ms |
8908 KB |
Output is correct |
6 |
Correct |
7 ms |
8908 KB |
Output is correct |
7 |
Correct |
7 ms |
8960 KB |
Output is correct |
8 |
Correct |
7 ms |
8908 KB |
Output is correct |
9 |
Correct |
140 ms |
29380 KB |
Output is correct |
10 |
Correct |
155 ms |
33992 KB |
Output is correct |
11 |
Correct |
150 ms |
33572 KB |
Output is correct |
12 |
Correct |
163 ms |
35044 KB |
Output is correct |
13 |
Correct |
128 ms |
37404 KB |
Output is correct |
14 |
Correct |
163 ms |
29636 KB |
Output is correct |
15 |
Correct |
375 ms |
37996 KB |
Output is correct |
16 |
Correct |
471 ms |
37276 KB |
Output is correct |
17 |
Correct |
404 ms |
39000 KB |
Output is correct |
18 |
Correct |
514 ms |
41284 KB |
Output is correct |
19 |
Incorrect |
523 ms |
41264 KB |
Output isn't correct |
20 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
8680 KB |
Output is correct |
2 |
Correct |
6 ms |
8676 KB |
Output is correct |
3 |
Correct |
6 ms |
8652 KB |
Output is correct |
4 |
Correct |
6 ms |
8652 KB |
Output is correct |
5 |
Correct |
6 ms |
8748 KB |
Output is correct |
6 |
Correct |
7 ms |
8908 KB |
Output is correct |
7 |
Correct |
7 ms |
8908 KB |
Output is correct |
8 |
Correct |
7 ms |
8960 KB |
Output is correct |
9 |
Correct |
7 ms |
8908 KB |
Output is correct |
10 |
Correct |
140 ms |
29380 KB |
Output is correct |
11 |
Correct |
155 ms |
33992 KB |
Output is correct |
12 |
Correct |
150 ms |
33572 KB |
Output is correct |
13 |
Correct |
163 ms |
35044 KB |
Output is correct |
14 |
Correct |
128 ms |
37404 KB |
Output is correct |
15 |
Correct |
163 ms |
29636 KB |
Output is correct |
16 |
Correct |
375 ms |
37996 KB |
Output is correct |
17 |
Correct |
471 ms |
37276 KB |
Output is correct |
18 |
Correct |
404 ms |
39000 KB |
Output is correct |
19 |
Correct |
514 ms |
41284 KB |
Output is correct |
20 |
Incorrect |
523 ms |
41264 KB |
Output isn't correct |
21 |
Halted |
0 ms |
0 KB |
- |