이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
//#pragma GCC optimize ("O3")
//#pragma GCC target ("sse4")
#define endl "\n"
typedef long long ll;
template<class T, class T2> inline ostream &operator <<(ostream &out, const pair<T, T2> &x) { out << x.first << " " << x.second; return out;}
template<class T, class T2> inline istream &operator >>(istream &in, pair<T, T2> &x) { in >> x.first >> x.second; return in;}
template<class T, class T2> inline bool chkmax(T &x, const T2 &y) { return x < y ? x = y, 1 : 0; }
template<class T, class T2> inline bool chkmin(T &x, const T2 &y) { return x > y ? x = y, 1 : 0; }
const ll mod = 1e9 + 7;
#define out(x) "{" << (#x) << ": " << x << "} "
const int MAX_N = 1e5 + 10;
int dp[MAX_N][2];
int n;
vector<pair<int, int> > g[MAX_N];
void dfs(int x, int p, int w) {
vector<int> pos;
int sum = 0;
for(auto it : g[x]) {
if(it.first == p) {continue;}
dfs(it.first, x, it.second);
int curr = max(dp[it.first][0], dp[it.first][1]);
sum += curr;
pos.push_back(dp[it.first][0] + it.second - curr);
}
dp[x][0] = sum;
sort(pos.rbegin(), pos.rend());
for(int i = 0; i < (int)pos.size() - 1; i += 2) {
int curr = pos[i] + pos[i + 1];
if(curr > 0) {
dp[x][0] += curr;
}
break;
}
dp[x][1] = sum;
if(!pos.empty()) {
dp[x][1] += max(0, w + pos[0]);
}
//cout << x << " " << dp[x][0] << " " << dp[x][1] << endl;
}
signed main() {
ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
cin >> n;
for(int i = 0; i < n - 1; i ++) {
int a, b, c;
cin >> a >> b >> c;
g[a].push_back({b, c});
g[b].push_back({a, c});
}
dfs(1, 0, mod);
cout << dp[1][0] << endl;
return 0;
}
/*
5
1 2 10
1 3 40
1 4 15
1 5 20
10
4 10 2
1 2 21
1 3 13
6 7 1
7 9 5
2 4 3
2 5 8
1 6 55
6 8 34
*/
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