#include <bits/stdc++.h>
#define PB push_back
#define ST first
#define ND second
//#pragma GCC optimize ("O3")
//#pragma GCC target("tune=native")
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
//using namespace __gnu_pbds;
//typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
using namespace std;
using ll = long long;
using pi = pair<int, int>;
using vi = vector<int>;
mt19937 rng(195101);
const int nax = 200 * 1000 + 10;
const ll INF = 1e18;
int n, C;
vector<pi>V[nax];
ll dp[nax][4], val[4];
ll DP[2][2][nax];
void dfs(int x, int p) {
for(auto nbh : V[x]) if(nbh.ST != p) {
dfs(nbh.ST, x);
}
int memoC = C;
C = min(C, (int)V[x].size());
C = max(C, 5);
for(int i = 0; i <= 2 * C; ++i) {
DP[0][0][i] = DP[0][1][i] = -INF;
}
DP[0][0][C] = 0;
int bt = 1;
for(auto nbh : V[x]) if(nbh.ST != p) {
for(int i = 0; i < 4; ++i) {
val[(i + 1) % 4] = dp[nbh.ST][i] + nbh.ND;
}
val[0] = max(val[0], dp[nbh.ST][0]);
for(int i = 0; i <= 2*C; ++i) {
for(int bit = 0; bit < 2; ++bit) {
DP[bt][bit][i] = max(DP[bt^1][bit][i] + val[0], DP[bt^1][bit^1][i] + val[2]);
if(i + 1 <= 2 * C) {
DP[bt][bit][i] = max(DP[bt][bit][i], DP[bt^1][bit][i + 1] + val[1]);
if(i - 1 >= 0)
DP[bt][bit][i] = max(DP[bt][bit][i], DP[bt^1][bit][i - 1] + val[3]);
}
}
}
bt ^= 1;
}
bt ^= 1;
dp[x][0] = DP[bt][0][C];
dp[x][1] = DP[bt][0][C - 1];
dp[x][2] = DP[bt][1][C];
dp[x][3] = DP[bt][0][C + 1];
C = memoC;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for(int u,v,c,i = 1; i < n; ++i) {
cin >> u >> v >> c;
V[u].emplace_back(v, c);
V[v].emplace_back(u, c);
}
for(int i = 1; i <= n; ++i) {
shuffle(V[i].begin(), V[i].end(), rng);
}
C = n/2+1;
C = max(C, 10);
C = min(C, 1000);
int root = (rng() % n) + 1;
dfs(root, 0);
cout << dp[root][0];
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 | #include <bits/stdc++.h> #define PB push_back #define ST first #define ND second //#pragma GCC optimize ("O3") //#pragma GCC target("tune=native") //#include <ext/pb_ds/assoc_container.hpp> //#include <ext/pb_ds/tree_policy.hpp> //using namespace __gnu_pbds; //typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set; using namespace std; using ll = long long; using pi = pair<int, int>; using vi = vector<int>; mt19937 rng(195101); const int nax = 200 * 1000 + 10; const ll INF = 1e18; int n, C; vector<pi>V[nax]; ll dp[nax][4], val[4]; ll DP[2][2][nax]; void dfs(int x, int p) { for(auto nbh : V[x]) if(nbh.ST != p) { dfs(nbh.ST, x); } int memoC = C; C = min(C, (int)V[x].size()); C = max(C, 5); for(int i = 0; i <= 2 * C; ++i) { DP[0][0][i] = DP[0][1][i] = -INF; } DP[0][0][C] = 0; int bt = 1; for(auto nbh : V[x]) if(nbh.ST != p) { for(int i = 0; i < 4; ++i) { val[(i + 1) % 4] = dp[nbh.ST][i] + nbh.ND; } val[0] = max(val[0], dp[nbh.ST][0]); for(int i = 0; i <= 2*C; ++i) { for(int bit = 0; bit < 2; ++bit) { DP[bt][bit][i] = max(DP[bt^1][bit][i] + val[0], DP[bt^1][bit^1][i] + val[2]); if(i + 1 <= 2 * C) { DP[bt][bit][i] = max(DP[bt][bit][i], DP[bt^1][bit][i + 1] + val[1]); if(i - 1 >= 0) DP[bt][bit][i] = max(DP[bt][bit][i], DP[bt^1][bit][i - 1] + val[3]); } } } bt ^= 1; } bt ^= 1; dp[x][0] = DP[bt][0][C]; dp[x][1] = DP[bt][0][C - 1]; dp[x][2] = DP[bt][1][C]; dp[x][3] = DP[bt][0][C + 1]; C = memoC; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n; for(int u,v,c,i = 1; i < n; ++i) { cin >> u >> v >> c; V[u].emplace_back(v, c); V[v].emplace_back(u, c); } for(int i = 1; i <= n; ++i) { shuffle(V[i].begin(), V[i].end(), rng); } C = n/2+1; C = max(C, 10); C = min(C, 1000); int root = (rng() % n) + 1; dfs(root, 0); cout << dp[root][0]; } |
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