이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
//Sylwia Sapkowska
#include <bits/stdc++.h>
#pragma GCC optimize("O3", "unroll-loops")
using namespace std;
void __print(int x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << "'" << x << "'";}
void __print(const char *x) {cerr << '"' << x << '"';}
void __print(const string &x) {cerr << '"' << x << '"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifdef LOCAL
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif
#define int long long
typedef pair<int, int> T;
const int oo = 1e18, oo2 = 1e9+7, K = 30;
const int mod = 998244353;
void solve(){
int n; cin >> n;
vector<vector<T>>g(n+1);
for (int i = 1; i<n; i++){
int a, b, c; cin >> a >> b >> c;
g[a].emplace_back(b, c);
g[b].emplace_back(a, c);
}
vector dp(n+1, vector<int>(2));
function<void(int, int, int)>dfs = [&](int v, int pa, int cc){
int s = 0;
array<int, 2>mx = {-oo, -oo};
for (auto [x, c]: g[v]){
if (x == pa) continue;
dfs(x, v, c);
s += max(dp[x][0], dp[x][1]);
int val = dp[x][0] + c - max(dp[x][1], dp[x][0]);
debug(v, x, val);
for (int rep = 0; rep < 2; rep++) {
if (mx[rep] <= val) {
swap(mx[rep], val);
}
}
}
dp[v][1] = max(0ll, cc + s + mx[0]);
dp[v][0] = s+max(0ll, mx[0] + mx[1]);
debug(v, dp[v][0], dp[v][1], mx);
//dp[v][1] = cc+dp[u][0]+c-dp[u][1]+s1
//dp[v][0] -> musze znalezc dwa o maksymalnym
};
dfs(1, 1, 0);
cout << dp[1][0] << "\n";
}
int32_t main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t = 1;
//cin >> t;
while (t--) solve();
return 0;
}
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