#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define f first
#define s second
#define endl '\n'
#define all(x) begin(x), end(x)
int n, ca, cb, k;
int u, v, l;
int ans = INT_MAX;
vector<tuple<int,int,int>> va, vb;
vector<pair<int,pair<int,int>>> lga[200069], lgb[200069];
int cnt, cnta[200069], cntb[200069];
vector<int> chd[200069];
int par[200069];
pair<int,int> rts[200069];
map<int,int> mp[200069];
void dsuclr() {
for (int i = 0; i < n; i++) {
par[i] = i;
chd[i].clear();
chd[i].push_back(i);
}
cnt = 0;
}
void merge(int x, int y, vector<pair<int,pair<int,int>>> &lg) {
x = par[x]; y = par[y];
if (x == y) return;
if (chd[x].size() < chd[y].size()) swap(x, y);
cnt += chd[x].size() * chd[y].size();
for (auto i : chd[y]) {
par[i] = x;
chd[x].push_back(i);
lg.push_back({i, {y, x}});
}
chd[y].clear();
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(NULL);
cin>>n>>ca>>cb>>k;
dsuclr();
for (int i = 0; i < ca; i++) {
cin>>u>>v>>l; u--; v--;
va.push_back({l, u, v});
}
sort(all(va));
for (int i = 0; i < ca; i++) {
tie(l, u, v) = va[i];
merge(u, v, lga[i + 1]);
cnta[i + 1] = cnt;
}
for (int i = 0; i < n; i++) {
rts[i] = {par[i], i};
mp[par[i]][i] = 1;
}
dsuclr();
for (int i = 0; i < cb; i++) {
cin>>u>>v>>l; u--; v--;
vb.push_back({l, u, v});
}
sort(all(vb));
for (int i = 0; i < cb; i++) {
tie(l, u, v) = vb[i];
merge(u, v, lgb[i + 1]);
cntb[i + 1] = cnt;
}
cnt = 0;
int tb = 0;
for (int ta = ca; ~ta; ta--) {
for (auto t : lga[ta + 1]) {
int i = t.f;
mp[rts[i].f][rts[i].s]--;
cnt-=mp[rts[i].f][rts[i].s];
rts[i].f = t.s.f;
cnt+=mp[rts[i].f][rts[i].s];
mp[rts[i].f][rts[i].s]++;
}
while (tb < cb && cnta[ta] + cntb[tb] - cnt < k) {
for (auto t : lgb[tb + 1]) {
int i = t.f;
mp[rts[i].f][rts[i].s]--;
cnt-=mp[rts[i].f][rts[i].s];
rts[i].s = t.s.s;
cnt+=mp[rts[i].f][rts[i].s];
mp[rts[i].f][rts[i].s]++;
}
tb++;
}
if (cnta[ta] + cntb[tb] - cnt >= k) {
int tmpa = (ta == 0 ? 0 : get<0>(va[ta - 1]));
int tmpb = (tb == 0 ? 0 : get<0>(vb[tb - 1]));
ans = min(ans, tmpa + tmpb);
}
}
cout<<(ans == INT_MAX ? -1 : ans)<<endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
23764 KB |
Output is correct |
2 |
Correct |
13 ms |
23732 KB |
Output is correct |
3 |
Correct |
12 ms |
23764 KB |
Output is correct |
4 |
Correct |
12 ms |
23828 KB |
Output is correct |
5 |
Correct |
12 ms |
23824 KB |
Output is correct |
6 |
Correct |
81 ms |
31056 KB |
Output is correct |
7 |
Correct |
90 ms |
31080 KB |
Output is correct |
8 |
Correct |
163 ms |
38080 KB |
Output is correct |
9 |
Correct |
155 ms |
38028 KB |
Output is correct |
10 |
Correct |
158 ms |
38088 KB |
Output is correct |
11 |
Correct |
161 ms |
38236 KB |
Output is correct |
12 |
Correct |
12 ms |
23892 KB |
Output is correct |
13 |
Correct |
11 ms |
24012 KB |
Output is correct |
14 |
Correct |
12 ms |
23948 KB |
Output is correct |
15 |
Correct |
152 ms |
38016 KB |
Output is correct |
16 |
Correct |
175 ms |
38144 KB |
Output is correct |
17 |
Correct |
155 ms |
38012 KB |
Output is correct |
18 |
Correct |
152 ms |
38068 KB |
Output is correct |
19 |
Correct |
176 ms |
38120 KB |
Output is correct |
20 |
Correct |
162 ms |
38124 KB |
Output is correct |
21 |
Correct |
158 ms |
38008 KB |
Output is correct |
22 |
Correct |
191 ms |
38144 KB |
Output is correct |
23 |
Correct |
157 ms |
38208 KB |
Output is correct |
24 |
Correct |
147 ms |
38028 KB |
Output is correct |
25 |
Correct |
160 ms |
38092 KB |
Output is correct |
26 |
Correct |
159 ms |
38020 KB |
Output is correct |
27 |
Correct |
157 ms |
38080 KB |
Output is correct |
28 |
Correct |
163 ms |
38072 KB |
Output is correct |
29 |
Correct |
157 ms |
38056 KB |
Output is correct |
30 |
Correct |
159 ms |
38012 KB |
Output is correct |
31 |
Correct |
159 ms |
38124 KB |
Output is correct |
32 |
Correct |
168 ms |
38096 KB |
Output is correct |
33 |
Correct |
138 ms |
36348 KB |
Output is correct |
34 |
Correct |
141 ms |
36384 KB |
Output is correct |
35 |
Correct |
139 ms |
36384 KB |
Output is correct |
36 |
Correct |
147 ms |
36356 KB |
Output is correct |
37 |
Correct |
14 ms |
24168 KB |
Output is correct |
38 |
Correct |
16 ms |
24148 KB |
Output is correct |
39 |
Correct |
14 ms |
24164 KB |
Output is correct |
40 |
Correct |
13 ms |
24148 KB |
Output is correct |
41 |
Correct |
128 ms |
36248 KB |
Output is correct |
42 |
Correct |
126 ms |
36224 KB |
Output is correct |
43 |
Correct |
144 ms |
37296 KB |
Output is correct |
44 |
Correct |
149 ms |
37372 KB |
Output is correct |
45 |
Correct |
175 ms |
38120 KB |
Output is correct |
46 |
Correct |
168 ms |
38112 KB |
Output is correct |
47 |
Correct |
153 ms |
38072 KB |
Output is correct |
48 |
Correct |
161 ms |
36032 KB |
Output is correct |
49 |
Correct |
153 ms |
35940 KB |
Output is correct |
50 |
Correct |
14 ms |
24276 KB |
Output is correct |
51 |
Correct |
82 ms |
31032 KB |
Output is correct |
52 |
Correct |
85 ms |
31108 KB |
Output is correct |
53 |
Correct |
16 ms |
23764 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
461 ms |
75900 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
23892 KB |
Output is correct |
2 |
Correct |
12 ms |
23764 KB |
Output is correct |
3 |
Correct |
86 ms |
29772 KB |
Output is correct |
4 |
Correct |
67 ms |
29980 KB |
Output is correct |
5 |
Correct |
201 ms |
59488 KB |
Output is correct |
6 |
Incorrect |
50 ms |
45108 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
23764 KB |
Output is correct |
2 |
Correct |
13 ms |
23732 KB |
Output is correct |
3 |
Correct |
12 ms |
23764 KB |
Output is correct |
4 |
Correct |
12 ms |
23828 KB |
Output is correct |
5 |
Correct |
12 ms |
23824 KB |
Output is correct |
6 |
Correct |
81 ms |
31056 KB |
Output is correct |
7 |
Correct |
90 ms |
31080 KB |
Output is correct |
8 |
Correct |
163 ms |
38080 KB |
Output is correct |
9 |
Correct |
155 ms |
38028 KB |
Output is correct |
10 |
Correct |
158 ms |
38088 KB |
Output is correct |
11 |
Correct |
161 ms |
38236 KB |
Output is correct |
12 |
Correct |
12 ms |
23892 KB |
Output is correct |
13 |
Correct |
11 ms |
24012 KB |
Output is correct |
14 |
Correct |
12 ms |
23948 KB |
Output is correct |
15 |
Correct |
152 ms |
38016 KB |
Output is correct |
16 |
Correct |
175 ms |
38144 KB |
Output is correct |
17 |
Correct |
155 ms |
38012 KB |
Output is correct |
18 |
Correct |
152 ms |
38068 KB |
Output is correct |
19 |
Correct |
176 ms |
38120 KB |
Output is correct |
20 |
Correct |
162 ms |
38124 KB |
Output is correct |
21 |
Correct |
158 ms |
38008 KB |
Output is correct |
22 |
Correct |
191 ms |
38144 KB |
Output is correct |
23 |
Correct |
157 ms |
38208 KB |
Output is correct |
24 |
Correct |
147 ms |
38028 KB |
Output is correct |
25 |
Correct |
160 ms |
38092 KB |
Output is correct |
26 |
Correct |
159 ms |
38020 KB |
Output is correct |
27 |
Correct |
157 ms |
38080 KB |
Output is correct |
28 |
Correct |
163 ms |
38072 KB |
Output is correct |
29 |
Correct |
157 ms |
38056 KB |
Output is correct |
30 |
Correct |
159 ms |
38012 KB |
Output is correct |
31 |
Correct |
159 ms |
38124 KB |
Output is correct |
32 |
Correct |
168 ms |
38096 KB |
Output is correct |
33 |
Correct |
138 ms |
36348 KB |
Output is correct |
34 |
Correct |
141 ms |
36384 KB |
Output is correct |
35 |
Correct |
139 ms |
36384 KB |
Output is correct |
36 |
Correct |
147 ms |
36356 KB |
Output is correct |
37 |
Correct |
14 ms |
24168 KB |
Output is correct |
38 |
Correct |
16 ms |
24148 KB |
Output is correct |
39 |
Correct |
14 ms |
24164 KB |
Output is correct |
40 |
Correct |
13 ms |
24148 KB |
Output is correct |
41 |
Correct |
128 ms |
36248 KB |
Output is correct |
42 |
Correct |
126 ms |
36224 KB |
Output is correct |
43 |
Correct |
144 ms |
37296 KB |
Output is correct |
44 |
Correct |
149 ms |
37372 KB |
Output is correct |
45 |
Correct |
175 ms |
38120 KB |
Output is correct |
46 |
Correct |
168 ms |
38112 KB |
Output is correct |
47 |
Correct |
153 ms |
38072 KB |
Output is correct |
48 |
Correct |
161 ms |
36032 KB |
Output is correct |
49 |
Correct |
153 ms |
35940 KB |
Output is correct |
50 |
Correct |
14 ms |
24276 KB |
Output is correct |
51 |
Correct |
82 ms |
31032 KB |
Output is correct |
52 |
Correct |
85 ms |
31108 KB |
Output is correct |
53 |
Correct |
16 ms |
23764 KB |
Output is correct |
54 |
Incorrect |
461 ms |
75900 KB |
Output isn't correct |
55 |
Halted |
0 ms |
0 KB |
- |