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>
#pragma GCC optimize("O3")
using namespace std;
int const maxn = 10001;
struct Edge {
int u, w;
};
vector<Edge> v[maxn];
int dp[maxn][2];
inline int invalid(int x, int p) {
return v[x].size() == 1 and v[x].front().u == p;
}
int solve(int x, int p = -1, int t = 0) {
if (dp[x][t] >= 0) return dp[x][t];
int d = 0;
if (t == 0) {
for (Edge const& e : v[x]) {
if (e.u == p) continue;
if (!invalid(e.u, x)) {
d += max(solve(e.u, x, 1) + e.w, solve(e.u, x, 0));
}
}
}
else {
int sum = solve(x, p, 0);
for (Edge const& e : v[x]) {
if (e.u == p) continue;
if (!invalid(e.u, x))
d = max(d, sum - max(solve(e.u, x, 1) + e.w, solve(e.u, x, 0))
+ e.w + solve(e.u, x, 0));
else
d = max(d, sum + e.w);
}
}
return dp[x][t] = d;
}
inline int test(int x) {
memset(dp, -1, sizeof(dp));
return solve(x);
}
int main() {
ios::sync_with_stdio(false), cin.tie(nullptr);
int n;
cin >> n;
for (int i = 0; i < n-1; i++) {
int a, b, w;
cin >> a >> b >> w;
v[a].push_back({b, w});
v[b].push_back({a, w});
}
int ans = 0;
for (int i = 1; i <= n; i++)
if (v[i].size() == 1)
ans = max(ans, test(i));
cout << ans << "\n";
}
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