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;
// #undef _GLIBCXX_DEBUG // disable run-time bound checking, etc
// #pragma GCC optimize("Ofast,inline") // Ofast = O3,fast-math,allow-store-data-races,no-protect-parens
// #pragma GCC optimize ("unroll-loops")
// #pragma GCC target("bmi,bmi2,lzcnt,popcnt") // bit manipulation
// #pragma GCC target("movbe") // byte swap
// #pragma GCC target("aes,pclmul,rdrnd") // encryption
// #pragma GCC target("avx,avx2,f16c,fma,sse3,ssse3,sse4.1,sse4.2") // SIMD
// #include <bits/extc++.h>
// using namespace __gnu_pbds;
// template<class T>using ordered_set = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
// template<class T>using ordered_multiset = tree<T, null_type, less_equal<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define ll long long
#define INF (ll)1e12
#define fo(i, n) for(int i=0;i<(int)n;i++)
#define Fo(i, k, n) for(i=k;k<n?i<n:i>n;k<n?i+=1:i-=1)
#define deb(x) cout << #x << " = " << x << endl;
#define deb2(x, y) cout << #x << " = " << x << ", " << #y << " = " << y << endl
#define pb push_back
#define mp make_pair
#define F first
#define S second
#define LSOne(S) ((S) & (-S))
#define sp(x, y) fixed<<setprecision(y)<<x
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define clr(x) memset(x, 0, sizeof(x))
#define tr(it, x) for(auto it = x.begin(); it != x.end(); it++)
#define trr(it, x) for(auto it = x.rbegin(); it != x.rend(); it+)
inline int readint(){ int v = 0; char c; while((c = getchar()) != EOF && c != ' ' && c != '\n'){ v *= 10; v += c - '0'; } return v; }
inline int readintsigned() { int v = 0; int sign = 1; char c = getchar(); if (c == '-') { sign = -1; } else { v += c - '0'; } while ((c = getchar()) != EOF && c != ' ' && c != '\n') { v *= 10; v += c - '0'; } return v * sign; }
inline string readstring() { string s; char c; while ((c = getchar()) != EOF && c != '\n' && c != ' ') { s.push_back(c); } return s; }
template <class result_t=std::chrono::milliseconds,class clock_t=std::chrono::steady_clock,class duration_t = std::chrono::milliseconds>
auto since(std::chrono::time_point<clock_t, duration_t> const& start){return std::chrono::duration_cast<result_t>(clock_t::now() - start);}
typedef pair<int, int> pii;
typedef pair<ll, ll> pl;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<pii> vpii;
typedef vector<pl> vpl;
typedef vector<vi> vvi;
typedef vector<vl> vvl;
typedef vector<vpii> vvpii;
typedef vector<vpl> vvpl;
vvpl adj(200001);
map<ll, ll> memo[200001][2];
map<ll, ll> rem[200001][2];
vpl big(200001, pl{-1, -1});
set<pl> biggest[200001];
vvl score(200001, vl(2, -1));
ll dp2(int pos, int last);
ll dp(int pos, int last){
if(memo[pos][0].count(last)) return memo[pos][0][last];
ll ans = 0;
if(rem[pos][0].size() == adj[pos].size()){
if(score[pos][0] == -1){
score[pos][0] = 0;
for(auto ve : rem[pos][0]){
score[pos][0] += ve.S;
}
}
// deb2(score[pos][0]-rem[pos][0][last], pos);
// deb2(pos, last);
// deb(score[pos][0]-rem[pos][0][last]);
return memo[pos][0][last] = score[pos][0]-rem[pos][0][last];
}
for(auto v : adj[pos]){
if(v.F == last) continue;
ll val = max(dp(v.F, pos), dp2(v.F, pos)+v.S);
rem[pos][0][v.F] = val;
ans += val;
// biggest.pb(dp(v.F, pos)+v.S-val);
}
memo[pos][0][last] = ans;
// deb2(pos, last);
// deb(ans);
return ans;
}
ll dp2(int pos, int last){
if(memo[pos][1].count(last)) return memo[pos][1][last];
if(adj[pos].size() == 1) return -INF;
if(rem[pos][1].size() == adj[pos].size()){
return memo[pos][1][last] = score[pos][1]-rem[pos][1][last]-(last==big[pos].S?big[pos].F:0);
}
ll ans = 0;
for(auto v : adj[pos]){
if(v.F == last) continue;
ll val = max(dp2(v.F, pos)+v.S, dp(v.F, pos));
rem[pos][1][v.F] = val;
ans += val;
biggest[pos].insert({dp(v.F, pos)+v.S-val, v.F});
}
// deb(pos);
if(rem[pos][1].size() == adj[pos].size()){
// deb2(pos, last);
if(score[pos][1] == -1){
score[pos][1] = (*(--biggest[pos].end())).F;
big[pos] = {(*(--biggest[pos].end())).F-(*(----biggest[pos].end())).F, (*(--biggest[pos].end())).S};
for(auto ve : rem[pos][1]){
score[pos][1] += ve.S;
}
}
return memo[pos][1][last] = score[pos][1]-rem[pos][1][last]-(last==big[pos].S?big[pos].F:0);
}
if(biggest[pos].size())ans+=(*(--biggest[pos].end())).F;
// deb2(pos, ans);
// deb2(score[pos][1], rem[pos][1][last]);
memo[pos][1][last] = ans;
return ans;
}
int main() {
// cout << fixed << setprecision(20);
// auto start = std::chrono::steady_clock::now(); // since(start).count()
cin.tie(0)->sync_with_stdio(0);
cin.exceptions(cin.failbit); // remove if to endof file
int n, from, to, weight;
cin >> n;
fo(i, n-1){
cin >> from >> to >> weight;
adj[--from].pb(mp(--to, weight));
adj[to].pb(mp(from, weight));
}
ll res = 0;
fo(i, n) res = max(res, dp(i, i));
cout << res;
return 0;
}
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