#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 1e6 + 66;
vector<pair<int,int>>g[N];
int d[N], s[N], t[N], l[N], r[N], p[N];
int get(int x) {
if (x == p[x]) return x;
return p[x] = get(p[x]);
}
vector<int>ask[N];
vector<int>add[N];
int sq[N];
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
int n, m;
cin >> n >> m;
for (int i = 1 ; i <= m ; ++ i) {
int a, b, w;
cin >> a >> b >> w;
g[a].emplace_back(b, w);
g[b].emplace_back(a, w);
}
for (int i = 1 ; i <= n ; ++ i) {
d[i] = int(1e9+123);
}
int k;
cin >> k;
set<pair<int,int>>S;
for (int i = 1 ; i <= k ; ++ i) {
int x;
cin >> x;
d[x] = 0;
S.insert({0, x});
}
while(S.size()) {
int v = S.begin()->second; S.erase(S.begin());
for (auto [to, w] : g[v]) if (d[to] > d[v] + w) {
S.erase({d[to], to});
d[to] = d[v] + w;
S.insert({d[to], to});
}
}
for (int i = 1 ; i <= n ; ++ i) {
//cout << d[i] << " \n"[i == n];
}
vector<int>vals;
for (int i = 1 ; i <= n ; ++ i) {
vals.emplace_back(d[i]);
}
sort(vals.begin(), vals.end()), vals.resize(unique(vals.begin(), vals.end()) - vals.begin());
for (int i = 1 ; i <= n ; ++ i) {
sq[i] = lower_bound(vals.begin(), vals.end(), d[i]) - vals.begin();
add[sq[i]].emplace_back(i);
}
int q;
cin >> q;
for (int i = 1 ; i <= q ; ++ i) {
cin >> s[i] >> t[i];
l[i] = 0, r[i] = (int)vals.size() - 1;
}
for (int rep = 0 ; rep < 30 ; ++ rep) {
for (int i = 0 ; i < N ; ++ i) {
ask[i].clear();
}
for (int i = 1 ; i <= q ; ++ i) {
if (l[i] < r[i]) {
int m = (l[i] + r[i] + 1) / 2;
ask[m].emplace_back(i);
}
}
for (int i = 1 ; i <= n ; ++ i) {
p[i] = i;
}
for (int i = (int)vals.size() - 1 ; i >= 0 ; -- i) {
for (int v : add[i]) {
for (auto [to, w] : g[v]) {
if (d[to] >= vals[i]) {
p[get(v)] = get(to);
}
}
}
for (auto j : ask[i]) {
if (get(s[j]) == get(t[j])) {
l[j] = i;
} else {
r[j] = i - 1;
}
}
}
}
for (int i = 1 ; i <= q ; ++ i) {
cout << vals[l[i]] << "\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
118 ms |
71020 KB |
Output is correct |
2 |
Correct |
122 ms |
71020 KB |
Output is correct |
3 |
Correct |
119 ms |
71020 KB |
Output is correct |
4 |
Correct |
118 ms |
71020 KB |
Output is correct |
5 |
Correct |
118 ms |
71072 KB |
Output is correct |
6 |
Correct |
135 ms |
71148 KB |
Output is correct |
7 |
Correct |
122 ms |
70892 KB |
Output is correct |
8 |
Correct |
113 ms |
70892 KB |
Output is correct |
9 |
Correct |
123 ms |
71020 KB |
Output is correct |
10 |
Correct |
120 ms |
71152 KB |
Output is correct |
11 |
Correct |
118 ms |
71088 KB |
Output is correct |
12 |
Correct |
118 ms |
71148 KB |
Output is correct |
13 |
Correct |
117 ms |
71040 KB |
Output is correct |
14 |
Correct |
120 ms |
71020 KB |
Output is correct |
15 |
Correct |
121 ms |
71020 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
118 ms |
71020 KB |
Output is correct |
2 |
Correct |
122 ms |
71020 KB |
Output is correct |
3 |
Correct |
119 ms |
71020 KB |
Output is correct |
4 |
Correct |
118 ms |
71020 KB |
Output is correct |
5 |
Correct |
118 ms |
71072 KB |
Output is correct |
6 |
Correct |
135 ms |
71148 KB |
Output is correct |
7 |
Correct |
122 ms |
70892 KB |
Output is correct |
8 |
Correct |
113 ms |
70892 KB |
Output is correct |
9 |
Correct |
123 ms |
71020 KB |
Output is correct |
10 |
Correct |
120 ms |
71152 KB |
Output is correct |
11 |
Correct |
118 ms |
71088 KB |
Output is correct |
12 |
Correct |
118 ms |
71148 KB |
Output is correct |
13 |
Correct |
117 ms |
71040 KB |
Output is correct |
14 |
Correct |
120 ms |
71020 KB |
Output is correct |
15 |
Correct |
121 ms |
71020 KB |
Output is correct |
16 |
Correct |
836 ms |
87400 KB |
Output is correct |
17 |
Correct |
2314 ms |
103668 KB |
Output is correct |
18 |
Correct |
230 ms |
73836 KB |
Output is correct |
19 |
Correct |
431 ms |
89056 KB |
Output is correct |
20 |
Correct |
2480 ms |
103736 KB |
Output is correct |
21 |
Correct |
1359 ms |
91004 KB |
Output is correct |
22 |
Correct |
1008 ms |
94124 KB |
Output is correct |
23 |
Correct |
2431 ms |
103600 KB |
Output is correct |
24 |
Correct |
2389 ms |
103728 KB |
Output is correct |
25 |
Correct |
2324 ms |
103300 KB |
Output is correct |
26 |
Correct |
451 ms |
88868 KB |
Output is correct |
27 |
Correct |
469 ms |
90552 KB |
Output is correct |
28 |
Correct |
446 ms |
89060 KB |
Output is correct |
29 |
Correct |
433 ms |
88160 KB |
Output is correct |
30 |
Correct |
448 ms |
88728 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
113 ms |
70780 KB |
Output is correct |
2 |
Correct |
117 ms |
70864 KB |
Output is correct |
3 |
Correct |
109 ms |
70892 KB |
Output is correct |
4 |
Correct |
117 ms |
70892 KB |
Output is correct |
5 |
Correct |
120 ms |
71020 KB |
Output is correct |
6 |
Correct |
114 ms |
71168 KB |
Output is correct |
7 |
Correct |
114 ms |
70892 KB |
Output is correct |
8 |
Correct |
112 ms |
70892 KB |
Output is correct |
9 |
Correct |
112 ms |
70892 KB |
Output is correct |
10 |
Correct |
113 ms |
70892 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1255 ms |
83920 KB |
Output is correct |
2 |
Correct |
2063 ms |
96168 KB |
Output is correct |
3 |
Correct |
2100 ms |
96364 KB |
Output is correct |
4 |
Correct |
752 ms |
80356 KB |
Output is correct |
5 |
Correct |
2055 ms |
96420 KB |
Output is correct |
6 |
Correct |
2045 ms |
96364 KB |
Output is correct |
7 |
Correct |
2041 ms |
96336 KB |
Output is correct |
8 |
Correct |
2084 ms |
96236 KB |
Output is correct |
9 |
Correct |
2029 ms |
96236 KB |
Output is correct |
10 |
Correct |
2027 ms |
96236 KB |
Output is correct |
11 |
Correct |
2020 ms |
96236 KB |
Output is correct |
12 |
Correct |
2110 ms |
96236 KB |
Output is correct |
13 |
Correct |
2070 ms |
96364 KB |
Output is correct |
14 |
Correct |
2029 ms |
96364 KB |
Output is correct |
15 |
Correct |
2185 ms |
96364 KB |
Output is correct |
16 |
Correct |
2037 ms |
96264 KB |
Output is correct |
17 |
Correct |
2177 ms |
96236 KB |
Output is correct |
18 |
Correct |
2044 ms |
96236 KB |
Output is correct |
19 |
Correct |
671 ms |
80356 KB |
Output is correct |
20 |
Correct |
2068 ms |
96364 KB |
Output is correct |
21 |
Correct |
2296 ms |
97224 KB |
Output is correct |
22 |
Correct |
373 ms |
85472 KB |
Output is correct |
23 |
Correct |
592 ms |
79716 KB |
Output is correct |
24 |
Correct |
367 ms |
83808 KB |
Output is correct |
25 |
Correct |
390 ms |
84960 KB |
Output is correct |
26 |
Correct |
562 ms |
78952 KB |
Output is correct |
27 |
Correct |
756 ms |
80484 KB |
Output is correct |
28 |
Correct |
366 ms |
83680 KB |
Output is correct |
29 |
Correct |
746 ms |
80356 KB |
Output is correct |
30 |
Correct |
370 ms |
83808 KB |
Output is correct |
31 |
Correct |
729 ms |
80356 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
118 ms |
71020 KB |
Output is correct |
2 |
Correct |
122 ms |
71020 KB |
Output is correct |
3 |
Correct |
119 ms |
71020 KB |
Output is correct |
4 |
Correct |
118 ms |
71020 KB |
Output is correct |
5 |
Correct |
118 ms |
71072 KB |
Output is correct |
6 |
Correct |
135 ms |
71148 KB |
Output is correct |
7 |
Correct |
122 ms |
70892 KB |
Output is correct |
8 |
Correct |
113 ms |
70892 KB |
Output is correct |
9 |
Correct |
123 ms |
71020 KB |
Output is correct |
10 |
Correct |
120 ms |
71152 KB |
Output is correct |
11 |
Correct |
118 ms |
71088 KB |
Output is correct |
12 |
Correct |
118 ms |
71148 KB |
Output is correct |
13 |
Correct |
117 ms |
71040 KB |
Output is correct |
14 |
Correct |
120 ms |
71020 KB |
Output is correct |
15 |
Correct |
121 ms |
71020 KB |
Output is correct |
16 |
Correct |
836 ms |
87400 KB |
Output is correct |
17 |
Correct |
2314 ms |
103668 KB |
Output is correct |
18 |
Correct |
230 ms |
73836 KB |
Output is correct |
19 |
Correct |
431 ms |
89056 KB |
Output is correct |
20 |
Correct |
2480 ms |
103736 KB |
Output is correct |
21 |
Correct |
1359 ms |
91004 KB |
Output is correct |
22 |
Correct |
1008 ms |
94124 KB |
Output is correct |
23 |
Correct |
2431 ms |
103600 KB |
Output is correct |
24 |
Correct |
2389 ms |
103728 KB |
Output is correct |
25 |
Correct |
2324 ms |
103300 KB |
Output is correct |
26 |
Correct |
451 ms |
88868 KB |
Output is correct |
27 |
Correct |
469 ms |
90552 KB |
Output is correct |
28 |
Correct |
446 ms |
89060 KB |
Output is correct |
29 |
Correct |
433 ms |
88160 KB |
Output is correct |
30 |
Correct |
448 ms |
88728 KB |
Output is correct |
31 |
Correct |
113 ms |
70780 KB |
Output is correct |
32 |
Correct |
117 ms |
70864 KB |
Output is correct |
33 |
Correct |
109 ms |
70892 KB |
Output is correct |
34 |
Correct |
117 ms |
70892 KB |
Output is correct |
35 |
Correct |
120 ms |
71020 KB |
Output is correct |
36 |
Correct |
114 ms |
71168 KB |
Output is correct |
37 |
Correct |
114 ms |
70892 KB |
Output is correct |
38 |
Correct |
112 ms |
70892 KB |
Output is correct |
39 |
Correct |
112 ms |
70892 KB |
Output is correct |
40 |
Correct |
113 ms |
70892 KB |
Output is correct |
41 |
Correct |
1255 ms |
83920 KB |
Output is correct |
42 |
Correct |
2063 ms |
96168 KB |
Output is correct |
43 |
Correct |
2100 ms |
96364 KB |
Output is correct |
44 |
Correct |
752 ms |
80356 KB |
Output is correct |
45 |
Correct |
2055 ms |
96420 KB |
Output is correct |
46 |
Correct |
2045 ms |
96364 KB |
Output is correct |
47 |
Correct |
2041 ms |
96336 KB |
Output is correct |
48 |
Correct |
2084 ms |
96236 KB |
Output is correct |
49 |
Correct |
2029 ms |
96236 KB |
Output is correct |
50 |
Correct |
2027 ms |
96236 KB |
Output is correct |
51 |
Correct |
2020 ms |
96236 KB |
Output is correct |
52 |
Correct |
2110 ms |
96236 KB |
Output is correct |
53 |
Correct |
2070 ms |
96364 KB |
Output is correct |
54 |
Correct |
2029 ms |
96364 KB |
Output is correct |
55 |
Correct |
2185 ms |
96364 KB |
Output is correct |
56 |
Correct |
2037 ms |
96264 KB |
Output is correct |
57 |
Correct |
2177 ms |
96236 KB |
Output is correct |
58 |
Correct |
2044 ms |
96236 KB |
Output is correct |
59 |
Correct |
671 ms |
80356 KB |
Output is correct |
60 |
Correct |
2068 ms |
96364 KB |
Output is correct |
61 |
Correct |
2296 ms |
97224 KB |
Output is correct |
62 |
Correct |
373 ms |
85472 KB |
Output is correct |
63 |
Correct |
592 ms |
79716 KB |
Output is correct |
64 |
Correct |
367 ms |
83808 KB |
Output is correct |
65 |
Correct |
390 ms |
84960 KB |
Output is correct |
66 |
Correct |
562 ms |
78952 KB |
Output is correct |
67 |
Correct |
756 ms |
80484 KB |
Output is correct |
68 |
Correct |
366 ms |
83680 KB |
Output is correct |
69 |
Correct |
746 ms |
80356 KB |
Output is correct |
70 |
Correct |
370 ms |
83808 KB |
Output is correct |
71 |
Correct |
729 ms |
80356 KB |
Output is correct |
72 |
Correct |
1404 ms |
92072 KB |
Output is correct |
73 |
Correct |
2185 ms |
103796 KB |
Output is correct |
74 |
Correct |
2180 ms |
103788 KB |
Output is correct |
75 |
Correct |
2196 ms |
103748 KB |
Output is correct |
76 |
Correct |
2228 ms |
103916 KB |
Output is correct |
77 |
Correct |
2181 ms |
103916 KB |
Output is correct |
78 |
Correct |
2206 ms |
103916 KB |
Output is correct |
79 |
Correct |
2216 ms |
103788 KB |
Output is correct |
80 |
Correct |
2157 ms |
103660 KB |
Output is correct |
81 |
Correct |
2205 ms |
103788 KB |
Output is correct |
82 |
Correct |
2159 ms |
103872 KB |
Output is correct |
83 |
Correct |
2142 ms |
103788 KB |
Output is correct |
84 |
Correct |
2144 ms |
103656 KB |
Output is correct |
85 |
Correct |
2241 ms |
103396 KB |
Output is correct |
86 |
Correct |
2199 ms |
103772 KB |
Output is correct |
87 |
Correct |
2167 ms |
103792 KB |
Output is correct |
88 |
Correct |
2198 ms |
103812 KB |
Output is correct |
89 |
Correct |
883 ms |
94436 KB |
Output is correct |
90 |
Correct |
2189 ms |
103688 KB |
Output is correct |
91 |
Correct |
2358 ms |
103660 KB |
Output is correct |
92 |
Correct |
426 ms |
89312 KB |
Output is correct |
93 |
Correct |
785 ms |
91236 KB |
Output is correct |
94 |
Correct |
421 ms |
89952 KB |
Output is correct |
95 |
Correct |
418 ms |
89056 KB |
Output is correct |
96 |
Correct |
705 ms |
87908 KB |
Output is correct |
97 |
Correct |
908 ms |
92900 KB |
Output is correct |
98 |
Correct |
423 ms |
89512 KB |
Output is correct |
99 |
Correct |
892 ms |
92988 KB |
Output is correct |
100 |
Correct |
424 ms |
89056 KB |
Output is correct |