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 <cstdio>
#include <cstdlib>
#include <cmath>
#include <climits>
#include <cfloat>
#include <cstring>
#include <map>
#include <utility>
#include <set>
#include <iostream>
#include <memory>
#include <string>
#include <vector>
#include <list>
#include <algorithm>
#include <functional>
#include <sstream>
#include <complex>
#include <stack>
#include <queue>
#include <unordered_set>
#include <unordered_map>
#include <array>
#include <cassert>
#include <bitset>
using namespace std;
using LL = long long;
int N;
vector<pair<int, LL>>graph[234567];
int par[234567];
LL pcost[234567];
void dfs(int v, int las, LL cst) {
par[v] = las;
pcost[v] = cst;
for (auto next : graph[v]) {
if (next.first == las)continue;
dfs(next.first, v, next.second);
}
}
LL memo[2][234567];
LL dp(bool c, int v) {
if (memo[c][v] >= 0)return memo[c][v];
LL ans = 0;
vector<LL>vec;
for (auto next : graph[v]) {
int ch = next.first;
if (ch == par[v])continue;
LL dpn = dp(0, ch);
LL dpc = dp(1, ch);
LL dpv = max(dpc, dpn);
LL loss = dpn - dpv;
loss += next.second;
vec.push_back(loss);
ans += dpv;
}
sort(vec.rbegin(), vec.rend());
if (c) {
if (vec.size() > 0) {
LL can = ans;
can += vec[0];
can += pcost[v];
ans = max(ans, can);
}
}
else {
if (vec.size() > 1) {
LL can = ans;
can += vec[0];
can += vec[1];
ans = max(ans, can);
}
}
return memo[c][v] = ans;
}
int main(void)
{
cin >> N;
for (int i = 1; i < N; ++i) {
int u, v; LL cost;
cin >> u >> v >> cost;
--u; --v;
graph[u].push_back({ v,cost });
graph[v].push_back({ u,cost });
}
dfs(0, -1, 0);
memset(memo, 0xff, sizeof(memo));
LL ans = dp(0, 0);
cout << ans << endl;
return 0;
}
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