#include <bits/stdc++.h>
#define N 200005
#define INF 1000000000000000000LL
using namespace std;
typedef long long ll;
bool vs[N];
struct P {
int to, cto, cfr;
};
vector<P> adj[N];
int tree_sz[N];
void sz_DFS(int c, int pr) {
tree_sz[c] = 1;
for(auto&i: adj[c]) {
if(vs[i.to] || i.to == pr) continue;
sz_DFS(i.to, c);
tree_sz[c] += tree_sz[i.to];
}
}
int find_cent(int c, int pr, int sz) {
for(auto&i: adj[c]) {
if(i.to == pr || vs[i.to] || tree_sz[i.to]*2 < sz) continue;
return find_cent(i.to, c, sz);
}
return c;
}
vector<ll> vals[N];
priority_queue<ll> pq1, pq2;
ll initVal, ans[N];
ll update_DFS(int c, int pr) {
ll sum = 0;
vals[c].clear();
for(auto&i: adj[c]) {
if(i.to == pr || vs[i.to]) continue;
sum += i.cfr;
sum += update_DFS(i.to, c);
vals[c].push_back(vals[i.to].back()+i.cfr);
}
if(vals[c].empty()) vals[c].push_back(0);
sort(vals[c].begin(),vals[c].end());
for(ll i: vals[c]) pq1.push(i);
if(pr == -1) {
if(vals[c].size() < 2) {
initVal = -INF;
pq2 = priority_queue<ll>();
} else {
initVal = vals[c].back(); vals[c].pop_back();
initVal += vals[c].back(); vals[c].pop_back();
for(ll i: vals[c]) pq2.push(i);
}
} else {
for(ll i: vals[c]) pq2.push(i);
}
return sum;
}
ll getSum(int c, int pr) {
ll sum = 0;
for(auto&i: adj[c]) {
if(vs[i.to] || i.to == pr) continue;
sum += i.cfr + getSum(i.to, c);
}
return sum;
}
vector<ll> updateVals(int rt, ll cum) {
ll sum = update_DFS(rt, -1);
ans[2] = min(ans[2], cum+sum-initVal);
for(int i = 3; pq2.size(); i ++, pq2.pop()) {
initVal += pq2.top();
ans[i] = min(ans[i], cum+sum-initVal);
}
ans[1] = min(ans[1], cum+sum);
initVal = 0;
for(int i = 2; pq1.size(); i ++, pq1.pop()) {
initVal += pq1.top();
ans[i] = min(ans[i],cum+sum-initVal);
}
vector<ll> cs;
for(auto&i: adj[rt]) {
if(vs[i.to]) continue;
cs.push_back(getSum(i.to,rt)+i.cfr);
}
return cs;
}
void DNC(int c, ll cum) {
sz_DFS(c, -1);
int cent = find_cent(c, -1, tree_sz[c]);
vector<ll> sms = updateVals(cent, cum);
for(ll i: sms) cum += i;
auto it = sms.begin();
vs[cent] = 1;
for(auto&i: adj[cent]) {
if(vs[i.to]) continue;
DNC(i.to, cum - (*it) + i.cto);
it ++;
}
}
int n, q;
int main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n;
for(int i = 1; i < n; i ++) {
int a, b, csf, cst;
cin >> a >> b >> csf >> cst;
swap(csf, cst);
adj[a].push_back({b, csf, cst});
adj[b].push_back({a, cst, csf});
}
for(auto&i: ans) i = INF;
DNC(1, 0);
for(int i = 2; i <= n; i ++) {
ans[i] = min(ans[i], ans[i-1]);
}
cin >> q;
while(q--) {
int i;
cin >> i;
cout << ans[i] << "\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
12124 KB |
Output is correct |
2 |
Incorrect |
3 ms |
12124 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
12124 KB |
Output is correct |
2 |
Correct |
910 ms |
39172 KB |
Output is correct |
3 |
Correct |
1152 ms |
45484 KB |
Output is correct |
4 |
Correct |
865 ms |
39520 KB |
Output is correct |
5 |
Correct |
365 ms |
40928 KB |
Output is correct |
6 |
Correct |
1129 ms |
43436 KB |
Output is correct |
7 |
Correct |
271 ms |
43168 KB |
Output is correct |
8 |
Correct |
1138 ms |
45480 KB |
Output is correct |
9 |
Correct |
203 ms |
45808 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
12124 KB |
Output is correct |
2 |
Correct |
956 ms |
43068 KB |
Output is correct |
3 |
Correct |
1187 ms |
46432 KB |
Output is correct |
4 |
Correct |
861 ms |
39460 KB |
Output is correct |
5 |
Correct |
321 ms |
41716 KB |
Output is correct |
6 |
Correct |
1115 ms |
42768 KB |
Output is correct |
7 |
Correct |
204 ms |
45400 KB |
Output is correct |
8 |
Correct |
1206 ms |
44112 KB |
Output is correct |
9 |
Correct |
209 ms |
45828 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
12124 KB |
Output is correct |
2 |
Incorrect |
3 ms |
12124 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
12124 KB |
Output is correct |
2 |
Correct |
910 ms |
39172 KB |
Output is correct |
3 |
Correct |
1152 ms |
45484 KB |
Output is correct |
4 |
Correct |
865 ms |
39520 KB |
Output is correct |
5 |
Correct |
365 ms |
40928 KB |
Output is correct |
6 |
Correct |
1129 ms |
43436 KB |
Output is correct |
7 |
Correct |
271 ms |
43168 KB |
Output is correct |
8 |
Correct |
1138 ms |
45480 KB |
Output is correct |
9 |
Correct |
203 ms |
45808 KB |
Output is correct |
10 |
Correct |
3 ms |
12124 KB |
Output is correct |
11 |
Correct |
956 ms |
43068 KB |
Output is correct |
12 |
Correct |
1187 ms |
46432 KB |
Output is correct |
13 |
Correct |
861 ms |
39460 KB |
Output is correct |
14 |
Correct |
321 ms |
41716 KB |
Output is correct |
15 |
Correct |
1115 ms |
42768 KB |
Output is correct |
16 |
Correct |
204 ms |
45400 KB |
Output is correct |
17 |
Correct |
1206 ms |
44112 KB |
Output is correct |
18 |
Correct |
209 ms |
45828 KB |
Output is correct |
19 |
Correct |
4 ms |
12040 KB |
Output is correct |
20 |
Incorrect |
871 ms |
40952 KB |
Output isn't correct |
21 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
12124 KB |
Output is correct |
2 |
Incorrect |
3 ms |
12124 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |