#include <bits/stdc++.h>
#define N 100005
#define inf 2000000000
#define f first
#define s second
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
int n, m, k, q, P[N], id[N], dist[N], rev[N], pai[N], peso[N];
vector<pii> grafo[N];
list<int> l[N];
list<pii> hist[N];
void dijkstra()
{
priority_queue<pii, vector<pii>, greater<pii> > pq;
for(int i = 1; i <= n; i++) dist[i] = inf;
for(int i = 1; i <= k; i++) dist[ P[i] ] = 0, pq.push({0, P[i]});
while(!pq.empty())
{
int x = pq.top().s, d = pq.top().f;
pq.pop();
if(d > dist[x]) continue;
for(auto v: grafo[x])
{
if(dist[v.f] > dist[x] + v.s)
{
dist[v.f] = dist[x] + v.s;
pq.push({dist[v.f], v.f});
}
}
}
vector<pii> v;
for(int i = 1; i <= n; i++) v.push_back({dist[i], i});
sort(v.begin(), v.end());
for(int i = 0; i < v.size(); i++) id[ v[i].s ] = i + 1, rev[i + 1] = v[i].s;
}
void persistent_join(int a, int b, int t)
{
a = pai[a], b = pai[b];
if(a != b)
{
if(peso[a] > peso[b]) swap(a, b);
for(auto it = l[a].begin(); it != l[a].end(); it++)
{
hist[*it].push_back(pii(t, b));
pai[*it] = b;
}
peso[b] += peso[a];
l[b].splice(l[b].end(), l[a]);
}
}
int p_query(int a, int b)
{
int ans = 0;
for(auto x: hist[a])
for(auto y: hist[b])
if(x.s == y.s)
ans = max(ans, min(x.f, y.f));
return ans;
}
int main()
{
ios::sync_with_stdio(false); cin.tie(0);
cin>>n>>m;
for(int i = 1, a, b, c; i <= m; i++)
{
cin>>a>>b>>c;
grafo[a].push_back({b, c});
grafo[b].push_back({a, c});
}
cin>>k;
for(int i = 1; i <= k; i++) cin>>P[i];
dijkstra();
for(int i = 1; i <= n; i++)
{
l[i].push_back(i);
hist[i].push_back(pii(dist[i], i));
peso[i] = 1, pai[i] = i;
}
for(int x = n; x >= 1; x--)
{
int xi = rev[x];
for(auto v: grafo[xi])
if(id[v.f] > x) persistent_join(v.f, xi, dist[xi]);
}
cin>>q;
for(int t = 1, a, b; t <= q; t++)
{
cin>>a>>b;
cout<<p_query(a, b)<<"\n";
}
}
Compilation message
plan.cpp: In function 'void dijkstra()':
plan.cpp:51:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0; i < v.size(); i++) id[ v[i].s ] = i + 1, rev[i + 1] = v[i].s;
~~^~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
7416 KB |
Output is correct |
2 |
Correct |
9 ms |
7500 KB |
Output is correct |
3 |
Correct |
9 ms |
7540 KB |
Output is correct |
4 |
Correct |
8 ms |
7416 KB |
Output is correct |
5 |
Correct |
9 ms |
7544 KB |
Output is correct |
6 |
Correct |
9 ms |
7544 KB |
Output is correct |
7 |
Correct |
8 ms |
7416 KB |
Output is correct |
8 |
Correct |
8 ms |
7416 KB |
Output is correct |
9 |
Correct |
9 ms |
7624 KB |
Output is correct |
10 |
Correct |
9 ms |
7644 KB |
Output is correct |
11 |
Correct |
9 ms |
7672 KB |
Output is correct |
12 |
Correct |
9 ms |
7544 KB |
Output is correct |
13 |
Correct |
9 ms |
7672 KB |
Output is correct |
14 |
Correct |
9 ms |
7672 KB |
Output is correct |
15 |
Correct |
9 ms |
7672 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
7416 KB |
Output is correct |
2 |
Correct |
9 ms |
7500 KB |
Output is correct |
3 |
Correct |
9 ms |
7540 KB |
Output is correct |
4 |
Correct |
8 ms |
7416 KB |
Output is correct |
5 |
Correct |
9 ms |
7544 KB |
Output is correct |
6 |
Correct |
9 ms |
7544 KB |
Output is correct |
7 |
Correct |
8 ms |
7416 KB |
Output is correct |
8 |
Correct |
8 ms |
7416 KB |
Output is correct |
9 |
Correct |
9 ms |
7624 KB |
Output is correct |
10 |
Correct |
9 ms |
7644 KB |
Output is correct |
11 |
Correct |
9 ms |
7672 KB |
Output is correct |
12 |
Correct |
9 ms |
7544 KB |
Output is correct |
13 |
Correct |
9 ms |
7672 KB |
Output is correct |
14 |
Correct |
9 ms |
7672 KB |
Output is correct |
15 |
Correct |
9 ms |
7672 KB |
Output is correct |
16 |
Correct |
256 ms |
22252 KB |
Output is correct |
17 |
Correct |
598 ms |
32752 KB |
Output is correct |
18 |
Correct |
43 ms |
10412 KB |
Output is correct |
19 |
Correct |
218 ms |
23572 KB |
Output is correct |
20 |
Correct |
622 ms |
33088 KB |
Output is correct |
21 |
Correct |
352 ms |
26704 KB |
Output is correct |
22 |
Correct |
231 ms |
23332 KB |
Output is correct |
23 |
Correct |
635 ms |
33068 KB |
Output is correct |
24 |
Correct |
602 ms |
33480 KB |
Output is correct |
25 |
Correct |
623 ms |
33004 KB |
Output is correct |
26 |
Correct |
229 ms |
23244 KB |
Output is correct |
27 |
Correct |
237 ms |
23208 KB |
Output is correct |
28 |
Correct |
236 ms |
23012 KB |
Output is correct |
29 |
Correct |
240 ms |
23220 KB |
Output is correct |
30 |
Correct |
246 ms |
23332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
7416 KB |
Output is correct |
2 |
Correct |
10 ms |
7416 KB |
Output is correct |
3 |
Correct |
9 ms |
7384 KB |
Output is correct |
4 |
Correct |
9 ms |
7416 KB |
Output is correct |
5 |
Correct |
8 ms |
7416 KB |
Output is correct |
6 |
Correct |
9 ms |
7432 KB |
Output is correct |
7 |
Correct |
8 ms |
7416 KB |
Output is correct |
8 |
Correct |
8 ms |
7416 KB |
Output is correct |
9 |
Correct |
8 ms |
7416 KB |
Output is correct |
10 |
Correct |
8 ms |
7416 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
292 ms |
25704 KB |
Output is correct |
2 |
Correct |
565 ms |
31888 KB |
Output is correct |
3 |
Correct |
543 ms |
31804 KB |
Output is correct |
4 |
Correct |
154 ms |
23448 KB |
Output is correct |
5 |
Correct |
532 ms |
32516 KB |
Output is correct |
6 |
Correct |
539 ms |
32576 KB |
Output is correct |
7 |
Correct |
536 ms |
32332 KB |
Output is correct |
8 |
Correct |
534 ms |
32316 KB |
Output is correct |
9 |
Correct |
546 ms |
32320 KB |
Output is correct |
10 |
Correct |
526 ms |
32488 KB |
Output is correct |
11 |
Correct |
557 ms |
32500 KB |
Output is correct |
12 |
Correct |
536 ms |
32312 KB |
Output is correct |
13 |
Correct |
563 ms |
32688 KB |
Output is correct |
14 |
Correct |
560 ms |
32464 KB |
Output is correct |
15 |
Correct |
534 ms |
32432 KB |
Output is correct |
16 |
Correct |
548 ms |
32544 KB |
Output is correct |
17 |
Correct |
541 ms |
32492 KB |
Output is correct |
18 |
Correct |
552 ms |
32576 KB |
Output is correct |
19 |
Correct |
152 ms |
22216 KB |
Output is correct |
20 |
Correct |
572 ms |
32652 KB |
Output is correct |
21 |
Correct |
514 ms |
32988 KB |
Output is correct |
22 |
Correct |
167 ms |
22844 KB |
Output is correct |
23 |
Correct |
231 ms |
31632 KB |
Output is correct |
24 |
Correct |
170 ms |
22856 KB |
Output is correct |
25 |
Correct |
165 ms |
22824 KB |
Output is correct |
26 |
Correct |
280 ms |
32320 KB |
Output is correct |
27 |
Correct |
161 ms |
23628 KB |
Output is correct |
28 |
Correct |
165 ms |
22984 KB |
Output is correct |
29 |
Correct |
179 ms |
23708 KB |
Output is correct |
30 |
Correct |
181 ms |
23016 KB |
Output is correct |
31 |
Correct |
210 ms |
23820 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
7416 KB |
Output is correct |
2 |
Correct |
9 ms |
7500 KB |
Output is correct |
3 |
Correct |
9 ms |
7540 KB |
Output is correct |
4 |
Correct |
8 ms |
7416 KB |
Output is correct |
5 |
Correct |
9 ms |
7544 KB |
Output is correct |
6 |
Correct |
9 ms |
7544 KB |
Output is correct |
7 |
Correct |
8 ms |
7416 KB |
Output is correct |
8 |
Correct |
8 ms |
7416 KB |
Output is correct |
9 |
Correct |
9 ms |
7624 KB |
Output is correct |
10 |
Correct |
9 ms |
7644 KB |
Output is correct |
11 |
Correct |
9 ms |
7672 KB |
Output is correct |
12 |
Correct |
9 ms |
7544 KB |
Output is correct |
13 |
Correct |
9 ms |
7672 KB |
Output is correct |
14 |
Correct |
9 ms |
7672 KB |
Output is correct |
15 |
Correct |
9 ms |
7672 KB |
Output is correct |
16 |
Correct |
256 ms |
22252 KB |
Output is correct |
17 |
Correct |
598 ms |
32752 KB |
Output is correct |
18 |
Correct |
43 ms |
10412 KB |
Output is correct |
19 |
Correct |
218 ms |
23572 KB |
Output is correct |
20 |
Correct |
622 ms |
33088 KB |
Output is correct |
21 |
Correct |
352 ms |
26704 KB |
Output is correct |
22 |
Correct |
231 ms |
23332 KB |
Output is correct |
23 |
Correct |
635 ms |
33068 KB |
Output is correct |
24 |
Correct |
602 ms |
33480 KB |
Output is correct |
25 |
Correct |
623 ms |
33004 KB |
Output is correct |
26 |
Correct |
229 ms |
23244 KB |
Output is correct |
27 |
Correct |
237 ms |
23208 KB |
Output is correct |
28 |
Correct |
236 ms |
23012 KB |
Output is correct |
29 |
Correct |
240 ms |
23220 KB |
Output is correct |
30 |
Correct |
246 ms |
23332 KB |
Output is correct |
31 |
Correct |
8 ms |
7416 KB |
Output is correct |
32 |
Correct |
10 ms |
7416 KB |
Output is correct |
33 |
Correct |
9 ms |
7384 KB |
Output is correct |
34 |
Correct |
9 ms |
7416 KB |
Output is correct |
35 |
Correct |
8 ms |
7416 KB |
Output is correct |
36 |
Correct |
9 ms |
7432 KB |
Output is correct |
37 |
Correct |
8 ms |
7416 KB |
Output is correct |
38 |
Correct |
8 ms |
7416 KB |
Output is correct |
39 |
Correct |
8 ms |
7416 KB |
Output is correct |
40 |
Correct |
8 ms |
7416 KB |
Output is correct |
41 |
Correct |
292 ms |
25704 KB |
Output is correct |
42 |
Correct |
565 ms |
31888 KB |
Output is correct |
43 |
Correct |
543 ms |
31804 KB |
Output is correct |
44 |
Correct |
154 ms |
23448 KB |
Output is correct |
45 |
Correct |
532 ms |
32516 KB |
Output is correct |
46 |
Correct |
539 ms |
32576 KB |
Output is correct |
47 |
Correct |
536 ms |
32332 KB |
Output is correct |
48 |
Correct |
534 ms |
32316 KB |
Output is correct |
49 |
Correct |
546 ms |
32320 KB |
Output is correct |
50 |
Correct |
526 ms |
32488 KB |
Output is correct |
51 |
Correct |
557 ms |
32500 KB |
Output is correct |
52 |
Correct |
536 ms |
32312 KB |
Output is correct |
53 |
Correct |
563 ms |
32688 KB |
Output is correct |
54 |
Correct |
560 ms |
32464 KB |
Output is correct |
55 |
Correct |
534 ms |
32432 KB |
Output is correct |
56 |
Correct |
548 ms |
32544 KB |
Output is correct |
57 |
Correct |
541 ms |
32492 KB |
Output is correct |
58 |
Correct |
552 ms |
32576 KB |
Output is correct |
59 |
Correct |
152 ms |
22216 KB |
Output is correct |
60 |
Correct |
572 ms |
32652 KB |
Output is correct |
61 |
Correct |
514 ms |
32988 KB |
Output is correct |
62 |
Correct |
167 ms |
22844 KB |
Output is correct |
63 |
Correct |
231 ms |
31632 KB |
Output is correct |
64 |
Correct |
170 ms |
22856 KB |
Output is correct |
65 |
Correct |
165 ms |
22824 KB |
Output is correct |
66 |
Correct |
280 ms |
32320 KB |
Output is correct |
67 |
Correct |
161 ms |
23628 KB |
Output is correct |
68 |
Correct |
165 ms |
22984 KB |
Output is correct |
69 |
Correct |
179 ms |
23708 KB |
Output is correct |
70 |
Correct |
181 ms |
23016 KB |
Output is correct |
71 |
Correct |
210 ms |
23820 KB |
Output is correct |
72 |
Correct |
364 ms |
26672 KB |
Output is correct |
73 |
Correct |
620 ms |
32996 KB |
Output is correct |
74 |
Correct |
592 ms |
34424 KB |
Output is correct |
75 |
Correct |
621 ms |
34800 KB |
Output is correct |
76 |
Correct |
622 ms |
34820 KB |
Output is correct |
77 |
Correct |
601 ms |
34952 KB |
Output is correct |
78 |
Correct |
617 ms |
34792 KB |
Output is correct |
79 |
Correct |
626 ms |
34452 KB |
Output is correct |
80 |
Correct |
615 ms |
33956 KB |
Output is correct |
81 |
Correct |
610 ms |
34504 KB |
Output is correct |
82 |
Correct |
634 ms |
34076 KB |
Output is correct |
83 |
Correct |
655 ms |
33932 KB |
Output is correct |
84 |
Correct |
642 ms |
34564 KB |
Output is correct |
85 |
Correct |
598 ms |
34476 KB |
Output is correct |
86 |
Correct |
589 ms |
34328 KB |
Output is correct |
87 |
Correct |
575 ms |
33920 KB |
Output is correct |
88 |
Correct |
595 ms |
34740 KB |
Output is correct |
89 |
Correct |
217 ms |
24608 KB |
Output is correct |
90 |
Correct |
618 ms |
34660 KB |
Output is correct |
91 |
Correct |
561 ms |
34048 KB |
Output is correct |
92 |
Correct |
234 ms |
24736 KB |
Output is correct |
93 |
Correct |
336 ms |
33708 KB |
Output is correct |
94 |
Correct |
229 ms |
24596 KB |
Output is correct |
95 |
Correct |
228 ms |
24500 KB |
Output is correct |
96 |
Correct |
394 ms |
34864 KB |
Output is correct |
97 |
Correct |
229 ms |
25680 KB |
Output is correct |
98 |
Correct |
218 ms |
24012 KB |
Output is correct |
99 |
Correct |
250 ms |
25808 KB |
Output is correct |
100 |
Correct |
224 ms |
24564 KB |
Output is correct |