#include <bits/stdc++.h>
#define pb push_back
#define eb emplace_back
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define uniq(x) x.erase(unique(all(x)), x.end())
#define rall(x) x.rbegin(), x.rend()
//#define int long long
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
const int mod = 1e9 + 7;
const int LOG = 20;
const int maxn = 1e5 + 5;
const double eps = 1e-9;
void setIO() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
}
struct Edge {
int a, b;
ll w;
bool operator<(Edge &e) const { return w < e.w; }
};
struct DSU {
int n, comp;
vector<int> par, size;
void config(int _n) {
n = _n + 1;
comp = _n;
par.resize(n+1);
size.resize(n+1, 1);
for(int i=1; i<=n; i++) par[i] = i;
}
int get(int u) {
if(u == par[u]) return u;
return par[u] = get(par[u]);
}
bool uni(int u, int v) {
u = get(u), v = get(v);
if(u == v) return false;
if(size[u] < size[v]) swap(u, v);
size[u] += size[v];
par[v] = u;
comp--;
return true;
}
int getComp() { return comp; }
int getSize(int u) { return size[get(u)]; }
bool sameSet(int u, int v) { return get(u) == get(v); }
};
vector<vector<pll> > G;
int depth[maxn+1], up[maxn+1][LOG];
ll mn[maxn+1][LOG];
void dfs(int u, int p) {
for(int i=1; i<LOG; i++) {
up[u][i] = up[up[u][i-1]][i-1];
mn[u][i] = min(mn[u][i-1], mn[up[u][i-1]][i-1]);
}
for(auto &[v, w] : G[u]) {
if(v == p) continue;
up[v][0] = u;
mn[v][0] = w;
depth[v] = depth[u] + 1;
dfs(v, u);
}
}
ll get_lca(int a, int b) {
if(depth[a] < depth[b]) swap(a, b);
ll ans = 1e18;
int d = depth[a] - depth[b];
for(int j=LOG-1; j>=0; j--) {
if(d & (1 << j)) {
ans = min(ans, mn[a][j]);
a = up[a][j];
}
}
if(a == b) return ans;
for(int j=LOG-1; j>=0; j--) {
if(up[a][j] != up[b][j]) {
ans = min(ans, mn[a][j]);
ans = min(ans, mn[b][j]);
a = up[a][j];
b = up[b][j];
}
}
return min({ ans, mn[a][0], mn[b][0] });
}
int32_t main() {
setIO();
int n, m;
cin >> n >> m;
vector<vector<pii> > graph(n+1);
vector<Edge> edges(m);
G.resize(n+1);
for(Edge &e : edges) {
cin >> e.a >> e.b >> e.w;
graph[e.a].push_back({ e.b, e.w });
graph[e.b].push_back({ e.a, e.w });
}
int spec;
cin >> spec;
priority_queue<pll, vector<pll>, greater<pll> > pq;
vector<bool> vis(n+1);
vector<ll> dist(n+1, 1e18);
while(spec--) {
int x;
cin >> x;
dist[x] = 0;
pq.push({ 0, x });
}
while(!pq.empty()) {
int u = pq.top().second;
pq.pop();
if(vis[u]) continue;
vis[u] = 1;
for(auto &[v, w] : graph[u]) {
if(dist[v] > dist[u] + w) {
dist[v] = dist[u] + w;
pq.push({ dist[v], v });
}
}
}
for(Edge &e : edges) e.w = min(dist[e.a], dist[e.b]);
sort(rall(edges));
DSU dsu;
dsu.config(n);
for(Edge &e : edges) {
if(dsu.uni(e.a, e.b)) {
G[e.a].push_back({ e.b, e.w });
G[e.b].push_back({ e.a, e.w });
}
}
dfs(1, 0);
int q;
cin >> q;
while(q--) {
int a, b;
cin >> a >> b;
cout << get_lca(a, b) << '\n';
}
return 0;
}
Compilation message
plan.cpp: In function 'void dfs(int, int)':
plan.cpp:81:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
81 | for(auto &[v, w] : G[u]) {
| ^
plan.cpp: In function 'int32_t main()':
plan.cpp:152:19: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
152 | for(auto &[v, w] : graph[u]) {
| ^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
856 KB |
Output is correct |
3 |
Correct |
1 ms |
860 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
2 ms |
856 KB |
Output is correct |
6 |
Correct |
1 ms |
856 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
856 KB |
Output is correct |
10 |
Correct |
2 ms |
856 KB |
Output is correct |
11 |
Correct |
1 ms |
860 KB |
Output is correct |
12 |
Correct |
1 ms |
856 KB |
Output is correct |
13 |
Correct |
1 ms |
856 KB |
Output is correct |
14 |
Correct |
1 ms |
856 KB |
Output is correct |
15 |
Correct |
1 ms |
1112 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
856 KB |
Output is correct |
3 |
Correct |
1 ms |
860 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
2 ms |
856 KB |
Output is correct |
6 |
Correct |
1 ms |
856 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
856 KB |
Output is correct |
10 |
Correct |
2 ms |
856 KB |
Output is correct |
11 |
Correct |
1 ms |
860 KB |
Output is correct |
12 |
Correct |
1 ms |
856 KB |
Output is correct |
13 |
Correct |
1 ms |
856 KB |
Output is correct |
14 |
Correct |
1 ms |
856 KB |
Output is correct |
15 |
Correct |
1 ms |
1112 KB |
Output is correct |
16 |
Correct |
138 ms |
37584 KB |
Output is correct |
17 |
Correct |
382 ms |
67776 KB |
Output is correct |
18 |
Correct |
23 ms |
9676 KB |
Output is correct |
19 |
Correct |
152 ms |
45420 KB |
Output is correct |
20 |
Correct |
390 ms |
67780 KB |
Output is correct |
21 |
Correct |
212 ms |
50632 KB |
Output is correct |
22 |
Correct |
153 ms |
51260 KB |
Output is correct |
23 |
Correct |
393 ms |
67528 KB |
Output is correct |
24 |
Correct |
404 ms |
67864 KB |
Output is correct |
25 |
Correct |
405 ms |
68032 KB |
Output is correct |
26 |
Correct |
141 ms |
45372 KB |
Output is correct |
27 |
Correct |
133 ms |
45416 KB |
Output is correct |
28 |
Correct |
132 ms |
45196 KB |
Output is correct |
29 |
Correct |
138 ms |
45412 KB |
Output is correct |
30 |
Correct |
138 ms |
45632 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
1 ms |
600 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
169 ms |
48588 KB |
Output is correct |
2 |
Correct |
316 ms |
66028 KB |
Output is correct |
3 |
Correct |
340 ms |
66240 KB |
Output is correct |
4 |
Correct |
110 ms |
46416 KB |
Output is correct |
5 |
Correct |
344 ms |
66240 KB |
Output is correct |
6 |
Correct |
324 ms |
65984 KB |
Output is correct |
7 |
Correct |
328 ms |
65984 KB |
Output is correct |
8 |
Correct |
322 ms |
66192 KB |
Output is correct |
9 |
Correct |
320 ms |
65904 KB |
Output is correct |
10 |
Correct |
330 ms |
65984 KB |
Output is correct |
11 |
Correct |
333 ms |
66244 KB |
Output is correct |
12 |
Correct |
321 ms |
65920 KB |
Output is correct |
13 |
Correct |
347 ms |
66348 KB |
Output is correct |
14 |
Correct |
336 ms |
65988 KB |
Output is correct |
15 |
Correct |
333 ms |
67008 KB |
Output is correct |
16 |
Correct |
361 ms |
66432 KB |
Output is correct |
17 |
Correct |
324 ms |
65984 KB |
Output is correct |
18 |
Correct |
321 ms |
65984 KB |
Output is correct |
19 |
Correct |
120 ms |
48980 KB |
Output is correct |
20 |
Correct |
317 ms |
65900 KB |
Output is correct |
21 |
Correct |
329 ms |
66224 KB |
Output is correct |
22 |
Correct |
98 ms |
43844 KB |
Output is correct |
23 |
Correct |
107 ms |
43088 KB |
Output is correct |
24 |
Correct |
96 ms |
43840 KB |
Output is correct |
25 |
Correct |
93 ms |
43844 KB |
Output is correct |
26 |
Correct |
125 ms |
44236 KB |
Output is correct |
27 |
Correct |
110 ms |
48720 KB |
Output is correct |
28 |
Correct |
97 ms |
43952 KB |
Output is correct |
29 |
Correct |
124 ms |
47452 KB |
Output is correct |
30 |
Correct |
97 ms |
43844 KB |
Output is correct |
31 |
Correct |
112 ms |
47396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
856 KB |
Output is correct |
3 |
Correct |
1 ms |
860 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
2 ms |
856 KB |
Output is correct |
6 |
Correct |
1 ms |
856 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
856 KB |
Output is correct |
10 |
Correct |
2 ms |
856 KB |
Output is correct |
11 |
Correct |
1 ms |
860 KB |
Output is correct |
12 |
Correct |
1 ms |
856 KB |
Output is correct |
13 |
Correct |
1 ms |
856 KB |
Output is correct |
14 |
Correct |
1 ms |
856 KB |
Output is correct |
15 |
Correct |
1 ms |
1112 KB |
Output is correct |
16 |
Correct |
138 ms |
37584 KB |
Output is correct |
17 |
Correct |
382 ms |
67776 KB |
Output is correct |
18 |
Correct |
23 ms |
9676 KB |
Output is correct |
19 |
Correct |
152 ms |
45420 KB |
Output is correct |
20 |
Correct |
390 ms |
67780 KB |
Output is correct |
21 |
Correct |
212 ms |
50632 KB |
Output is correct |
22 |
Correct |
153 ms |
51260 KB |
Output is correct |
23 |
Correct |
393 ms |
67528 KB |
Output is correct |
24 |
Correct |
404 ms |
67864 KB |
Output is correct |
25 |
Correct |
405 ms |
68032 KB |
Output is correct |
26 |
Correct |
141 ms |
45372 KB |
Output is correct |
27 |
Correct |
133 ms |
45416 KB |
Output is correct |
28 |
Correct |
132 ms |
45196 KB |
Output is correct |
29 |
Correct |
138 ms |
45412 KB |
Output is correct |
30 |
Correct |
138 ms |
45632 KB |
Output is correct |
31 |
Correct |
1 ms |
344 KB |
Output is correct |
32 |
Correct |
1 ms |
344 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
1 ms |
344 KB |
Output is correct |
35 |
Correct |
1 ms |
344 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
344 KB |
Output is correct |
38 |
Correct |
1 ms |
600 KB |
Output is correct |
39 |
Correct |
1 ms |
344 KB |
Output is correct |
40 |
Correct |
1 ms |
344 KB |
Output is correct |
41 |
Correct |
169 ms |
48588 KB |
Output is correct |
42 |
Correct |
316 ms |
66028 KB |
Output is correct |
43 |
Correct |
340 ms |
66240 KB |
Output is correct |
44 |
Correct |
110 ms |
46416 KB |
Output is correct |
45 |
Correct |
344 ms |
66240 KB |
Output is correct |
46 |
Correct |
324 ms |
65984 KB |
Output is correct |
47 |
Correct |
328 ms |
65984 KB |
Output is correct |
48 |
Correct |
322 ms |
66192 KB |
Output is correct |
49 |
Correct |
320 ms |
65904 KB |
Output is correct |
50 |
Correct |
330 ms |
65984 KB |
Output is correct |
51 |
Correct |
333 ms |
66244 KB |
Output is correct |
52 |
Correct |
321 ms |
65920 KB |
Output is correct |
53 |
Correct |
347 ms |
66348 KB |
Output is correct |
54 |
Correct |
336 ms |
65988 KB |
Output is correct |
55 |
Correct |
333 ms |
67008 KB |
Output is correct |
56 |
Correct |
361 ms |
66432 KB |
Output is correct |
57 |
Correct |
324 ms |
65984 KB |
Output is correct |
58 |
Correct |
321 ms |
65984 KB |
Output is correct |
59 |
Correct |
120 ms |
48980 KB |
Output is correct |
60 |
Correct |
317 ms |
65900 KB |
Output is correct |
61 |
Correct |
329 ms |
66224 KB |
Output is correct |
62 |
Correct |
98 ms |
43844 KB |
Output is correct |
63 |
Correct |
107 ms |
43088 KB |
Output is correct |
64 |
Correct |
96 ms |
43840 KB |
Output is correct |
65 |
Correct |
93 ms |
43844 KB |
Output is correct |
66 |
Correct |
125 ms |
44236 KB |
Output is correct |
67 |
Correct |
110 ms |
48720 KB |
Output is correct |
68 |
Correct |
97 ms |
43952 KB |
Output is correct |
69 |
Correct |
124 ms |
47452 KB |
Output is correct |
70 |
Correct |
97 ms |
43844 KB |
Output is correct |
71 |
Correct |
112 ms |
47396 KB |
Output is correct |
72 |
Correct |
220 ms |
50252 KB |
Output is correct |
73 |
Correct |
417 ms |
67788 KB |
Output is correct |
74 |
Correct |
381 ms |
68016 KB |
Output is correct |
75 |
Correct |
388 ms |
67524 KB |
Output is correct |
76 |
Correct |
372 ms |
67528 KB |
Output is correct |
77 |
Correct |
367 ms |
67784 KB |
Output is correct |
78 |
Correct |
367 ms |
67568 KB |
Output is correct |
79 |
Correct |
370 ms |
67712 KB |
Output is correct |
80 |
Correct |
390 ms |
67776 KB |
Output is correct |
81 |
Correct |
381 ms |
67856 KB |
Output is correct |
82 |
Correct |
406 ms |
67520 KB |
Output is correct |
83 |
Correct |
390 ms |
67616 KB |
Output is correct |
84 |
Correct |
420 ms |
67736 KB |
Output is correct |
85 |
Correct |
456 ms |
69308 KB |
Output is correct |
86 |
Correct |
446 ms |
67656 KB |
Output is correct |
87 |
Correct |
403 ms |
67632 KB |
Output is correct |
88 |
Correct |
413 ms |
67584 KB |
Output is correct |
89 |
Correct |
230 ms |
49708 KB |
Output is correct |
90 |
Correct |
396 ms |
67712 KB |
Output is correct |
91 |
Correct |
405 ms |
67268 KB |
Output is correct |
92 |
Correct |
164 ms |
45372 KB |
Output is correct |
93 |
Correct |
184 ms |
45284 KB |
Output is correct |
94 |
Correct |
144 ms |
45380 KB |
Output is correct |
95 |
Correct |
168 ms |
45420 KB |
Output is correct |
96 |
Correct |
203 ms |
45008 KB |
Output is correct |
97 |
Correct |
214 ms |
48288 KB |
Output is correct |
98 |
Correct |
162 ms |
45264 KB |
Output is correct |
99 |
Correct |
227 ms |
50252 KB |
Output is correct |
100 |
Correct |
161 ms |
45380 KB |
Output is correct |