#include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 5;
int n, a[N], f[N][2];
vector<int>e[N];
void dfs(int x, int fa) {
f[x][0] = 0;
f[x][1] = a[x];
for (auto v : e[x]) {
if (v == fa)
continue;
dfs(v, x);
f[x][0] += max(f[v][1], f[v][0]);
f[x][1] += f[v][0];
}
}
int main() {
cin >> n;
for (int i = 1; i <= n; i++)
cin >> a[i];
for (int i = 1; i < n; i++) {
int x, y;
cin >> x >> y;
e[x].push_back(y);
e[y].push_back(x);
}
dfs(1, 0);
cout << max(f[1][0], f[1][1]);
return 0;
}
#include <bits/stdc++.h>
using namespace std;
const int N = 1e4 + 5;
int n, f[N][3];
vector<int>e[N];
/*
f[x][0]选x及x的爹的最小值
f[x][0] = 1+f[v][2]
f[x][1]选x及x的子树的最小值
f[x][1] = f[v][0]+f[t][1]
f[x][2]选x的子树的最小值
f[x][2] = f[v][1]
*/
void dfs(int x, int fa) {
f[x][0] = 1;
int sum = 0;
for (auto v : e[x]) {
if (v == fa)
continue;
dfs(v, x);
f[x][0] += f[v][2];
f[x][2] += f[v][1];
sum += f[v][1];
}
f[x][1] = 1e9;
for (auto v : e[x]) {
if (v == fa)
continue;
f[x][1] = min(f[x][1], f[v][0] + sum - f[v][1]);
}
f[x][1] = min(f[x][0], f[x][1]);
f[x][2] = min(f[x][1], f[x][2]);
}
int main() {
cin >> n;
for (int i = 1; i < n; i++) {
int x, y;
cin >> x >> y;
e[x].push_back(y);
e[y].push_back(x);
}
dfs(1, 0);
cout << f[1][1] << endl;
return 0;
}
#include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 5;
int n, f[N][5];
vector<int>e[N];
void dfs(int x, int fa) {
f[x][0] = 1;
int sum3 = 0;
int sum4 = 0;
int sum2 = 0;
for (auto v : e[x]) {
if (v == fa)
continue;
dfs(v, x);
f[x][0] += f[v][4];
f[x][3] += f[v][2];
f[x][4] += f[v][3];
sum2 += f[v][2];
sum3 += f[v][3];
sum4 += f[v][4];
}
f[x][1] = 1e9;
f[x][2] = 1e9;
for (auto v : e[x]) {
if (v == fa)
continue;
f[x][1] = min(f[x][1], f[v][0] + sum3 - f[v][3]);
f[x][2] = min(f[x][2], f[v][1] + sum2 - f[v][2]);
}
for (int i = 1; i <= 4; i++) {
f[x][i] = min(f[x][i], f[x][i - 1]);
}
}
int main() {
cin >> n;
for (int i = 2; i <= n; i++) {
int x;
cin >> x;
e[i].push_back(x);
e[x].push_back(i);
}
dfs(1, 0);
cout << f[1][2] << endl;
return 0;
}
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int N = 2e5 + 5;
int n, f[N], dis[N], siz[N];
vector<int>e[N];
void dfs1(int x, int fa) {
if (x != 1)
dis[x] = dis[fa] + 1;
siz[x] = 1;
for (auto v : e[x]) {
if (v == fa)
continue;
dfs1(v, x);
siz[x] += siz[v];
}
}
void dfs2(int x, int fa) {
for (auto v : e[x]) {
if (v == fa)
continue;
f[v] = f[x] + n - 2 * siz[v];
dfs2(v, x);
}
}
signed main() {
cin >> n;
for (int i = 1; i < n; i++) {
int x, y;
cin >> x >> y;
e[x].push_back(y);
e[y].push_back(x);
}
dfs1(1, 0);
for (int i = 1; i <= n; i++)
f[1] += dis[i];
dfs2(1, 0);
for (int i = 1; i <= n; i++) {
cout << f[i] << ' ';
}
return 0;
}
#include <bits/stdc++.h>
using namespace std;
const int N = 2e5 + 5;
int n, f[N], g[N];
int dis[N][2], son[N][2];
vector<int>e[N];
void dfs1(int x, int fa) {
for (auto v : e[x]) {
if (v == fa)
continue;
dfs1(v, x);
if (dis[v][0] + 1 >= dis[x][0]) {
dis[x][1] = dis[x][0];
son[x][1] = son[x][0];
dis[x][0] = dis[v][0] + 1;
son[x][0] = v;
} else if (dis[v][0] + 1 > dis[x][1]) {
dis[x][1] = dis[v][0] + 1;
son[x][1] = v;
}
}
}
void dfs2(int x, int fa) {
f[x] = dis[x][0];
if (son[fa][0] == x) {
g[x] = max(1 + g[fa], dis[fa][1] + 1);
} else {
g[x] = max(1 + g[fa], dis[fa][0] + 1);
}
g[1] = 0;
f[x] = max(f[x], g[x]);
for (auto v : e[x]) {
if (v == fa)
continue;
dfs2(v, x);
}
}
int main() {
cin >> n;
for (int i = 1; i < n; i++) {
int x, y;
cin >> x >> y;
e[x].push_back(y);
e[y].push_back(x);
}
dfs1(1, 0);
dfs2(1, 0);
for (int i = 1; i <= n; i++) {
cout << f[i] << " ";
}
return 0;
}
#include <bits/stdc++.h>
using namespace std;
const int N = 2e5 + 5;
int n, m, siz[N], a[N], f[N], g[N], D[N]; //D[i]从i出发的最远距离
int dis[N][2], son[N][2];
vector<int>e[N];
void dfs1(int x, int fa) {
siz[x] = a[x];
for (auto v : e[x]) {
if (v == fa)
continue;
dfs1(v, x);
siz[x] += siz[v];
if (siz[v]) {
f[x] += f[v] + 2;
if (dis[v][0] + 1 >= dis[x][0]) {
dis[x][1] = dis[x][0];
son[x][1] = son[x][0];
dis[x][0] = dis[v][0] + 1;
son[x][0] = v;
} else if (dis[v][0] + 1 > dis[x][1]) {
dis[x][1] = dis[v][0] + 1;
son[x][1] = v;
}
}
}
}
void dfs2(int x, int fa) {
//什么情况下有g[x]
if (m > siz[x]) {
g[x] += g[fa] + f[fa] - f[x];
if (siz[x] == 0)
g[x] += 2;
if (son[fa][0] == x) {
D[x] = max(D[fa] + 1, dis[fa][1] + 1);
} else
D[x] = max(D[fa] + 1, dis[fa][0] + 1);
}
for (auto v : e[x]) {
if (v == fa)
continue;
dfs2(v, x);
}
}
int main() {
cin >> n >> m;
for (int i = 1; i < n; i++) {
int x, y;
cin >> x >> y;
e[x].push_back(y);
e[y].push_back(x);
}
for (int i = 1; i <= m; i++) {
int x;
cin >> x;
a[x]++;
}
dfs1(1, 0);
dfs2(1, 0);
int id = 0, res = 1e9;
for (int i = 1; i <= n; i++) {
int tmp = f[i] + g[i] - max(dis[i][0], D[i]);
if (tmp < res) {
res = tmp;
id = i;
}
}
cout << id << endl;
cout << res << endl;
return 0;
}