This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "bits/stdc++.h"
using namespace std;
#define for_(i, s, e) for (int i = s; i < (int) e; i++)
#define for__(i, s, e) for (ll i = s; i < e; i++)
typedef long long ll;
typedef vector<int> vi;
typedef pair<int, int> ii;
//#define endl '\n'
const int MXN = 2e5;
vector<array<int, 2>> dp;
vector<vector<array<int, 2>>> adj;
int n, ans = 0;
void dfs(int p, int parent, int pe=0) {
dp[p] = {0, 0};
int v = 0;
for (auto i: adj[p]) if (i[0] != parent) {
dfs(i[0], p, i[1]);
v = max(v, -dp[i[0]][0] + dp[i[0]][1] + i[1] + pe);
dp[p][1] += dp[i[0]][0];
}
dp[p][0] = dp[p][1] + v;
}
void reroot(int p, int parent) {
array<int, 2> opt = {-1, -1}, pre = dp[p];
if (parent != p) dp[p][1] += dp[parent][0];
for (auto i: adj[p]) {
int temp = -dp[i[0]][0] + dp[i[0]][1] + i[1];
if (temp >= opt[0]) {
swap(opt[0], opt[1]);
opt[0] = temp;
} else if (temp > opt[1]) opt[1] = temp;
}
ans = max(ans, dp[p][1]);
for (auto i: adj[p]) if (i[0] != parent) {
dp[p][1] -= dp[i[0]][0];
dp[p][0] = dp[p][1];
int temp = -dp[i[0]][0] + dp[i[0]][1] + i[1];
if (temp == opt[0]) dp[p][0] += (opt[1] != -1 ? opt[1]+i[1] : 0);
else dp[p][0] += (opt[0] != -1 ? opt[0]+i[1] : 0);
reroot(i[0], p);
dp[p][1] += dp[i[0]][0];
}
dp[p] = pre;
}
int main() {
#ifdef mlocal
freopen("test.in", "r", stdin);
#endif
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> n;
dp.resize(n); adj.resize(n);
for_(i, 0, n-1) {
int a, b, w; cin >> a >> b >> w;
a -= 1; b -= 1;
adj[a].push_back({b, w}); adj[b].push_back({a, w});
}
dfs(0, 0, 0);
reroot(0, 0);
cout << ans << endl;
return 0;
}
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