#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const int maxn = 2e5 + 12;
int n, cst[2*maxn];
ll edgesum = 0;
vector<array<int, 2>> g[maxn];
ll sub[maxn];
void sub_cost(int v, int p) {
sub[v] = 0;
for(auto [i, id] : g[v]) if(i != p) {
sub_cost(i, v);
sub[v] += sub[i] + cst[id];
}
}
ll arb[maxn];
void reroot_cost(int v, int p, ll sum) {
arb[v] = sum;
for(auto [i, id] : g[v]) if(i!=p) {
reroot_cost(i, v, sum-cst[id]+cst[id^1]);
}
}
ll greedy[maxn], used[maxn];
array<ll, 2> find_leaf(int v, int p) {
array<ll, 2> ans = {0, v};
for(auto [i, id] : g[v]) if(i != p) {
auto t = find_leaf(i, v);
//cout << t[0]+( cst[id^1]*!used[id^1]) << endl;
t[0] += cst[id^1]*!used[id^1];
ans = max(ans, t);
}
return ans;
}
array<ll, 2> far[maxn];
void sub_far(int v, int p) {
far[v] = {0, -(1ll<<56)};
for(auto &[i, id] : g[v]) if(i != p) {
sub_far(i, v);
auto t = far[i];
t[0] += cst[id^1];
t[1] += cst[id^1];
if(far[v][0] < t[0])
swap(far[v][0], t[0]);
far[v][1] = max(far[v][1], t[0]);
}
}
ll F[maxn];
void reroot_far(int v, int p, ll over) {
F[v] = max(far[v][0], over);
//cout << v << " -- " << F[v] << endl;
for(auto [i, id] : g[v]) if(i != p) {
reroot_far(i, v, cst[id^1]+max(over, far[i][0]+cst[id^1] == far[v][0] ? far[v][1] : far[v][0]));
}
}
ll solFor2 = 0;
int solve2() {
sub_far(1, 0);
reroot_far(1, 0, 0);
array<ll, 2> sol = {-(1ll<<60), -1};
for(int i = 1; i <= n; i++)
sol = max(sol, {F[i]+arb[i], i});
//cout << edgesum << " ? " << sol[0] << " " << sol[1] << endl;
solFor2 = edgesum - sol[0];
return sol[1];
}
int par[maxn], par_edge[maxn];
void find_pars(int v, int p) {
for(auto [i, id] : g[v]) if(i != p) {
par[i] = v;
par_edge[i] = id^1;
find_pars(i, v);
}
}
void solve(int v) {
for(int i = 0; i < 2*n; i++) used[i] = 0;
find_pars(v, 0);
sub_cost(v, 0);
ll cur = sub[v];
for(int i = 2; i <= n; i++) {
auto [add, x] = find_leaf(v, 0);
cur += add;
greedy[i] = min(greedy[i], edgesum - cur);
for(; x != v; x = par[x]) {
used[par_edge[x]] = 1;
}
}
}
int main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n;
for(int f, t, x, y, i = 1; i < n; i++) {
cin >> f >> t >> cst[2*i-1] >> cst[2*i-2];
edgesum += cst[2*i-1];
edgesum += cst[2*i-2];
g[f].push_back({t, 2*i-2});
g[t].push_back({f, 2*i-1});
}
sub_cost(1, 0);
reroot_cost(1, 0, sub[1]);
auto point = solve2();
memset(greedy, 0x4f, sizeof greedy);
if(n <= 2000)
solve(point);
int q;
cin >> q;
greedy[1] = edgesum-*max_element(arb+1, arb+n+1);
greedy[2] = solFor2;
for(int t; q--;) {
cin >> t;
cout << greedy[t] << '\n';
}
}
Compilation message
designated_cities.cpp: In function 'int main()':
designated_cities.cpp:97:19: warning: unused variable 'x' [-Wunused-variable]
97 | for(int f, t, x, y, i = 1; i < n; i++) {
| ^
designated_cities.cpp:97:22: warning: unused variable 'y' [-Wunused-variable]
97 | for(int f, t, x, y, i = 1; i < n; i++) {
| ^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
5 ms |
6784 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
6636 KB |
Output is correct |
2 |
Correct |
329 ms |
23388 KB |
Output is correct |
3 |
Correct |
406 ms |
35052 KB |
Output is correct |
4 |
Correct |
331 ms |
23404 KB |
Output is correct |
5 |
Correct |
336 ms |
23524 KB |
Output is correct |
6 |
Correct |
332 ms |
25188 KB |
Output is correct |
7 |
Correct |
303 ms |
23400 KB |
Output is correct |
8 |
Correct |
388 ms |
35692 KB |
Output is correct |
9 |
Correct |
187 ms |
23772 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
5 ms |
6636 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
5 ms |
6784 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
6636 KB |
Output is correct |
2 |
Correct |
329 ms |
23388 KB |
Output is correct |
3 |
Correct |
406 ms |
35052 KB |
Output is correct |
4 |
Correct |
331 ms |
23404 KB |
Output is correct |
5 |
Correct |
336 ms |
23524 KB |
Output is correct |
6 |
Correct |
332 ms |
25188 KB |
Output is correct |
7 |
Correct |
303 ms |
23400 KB |
Output is correct |
8 |
Correct |
388 ms |
35692 KB |
Output is correct |
9 |
Correct |
187 ms |
23772 KB |
Output is correct |
10 |
Incorrect |
5 ms |
6636 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
5 ms |
6784 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |