#include <algorithm>
#include <cassert>
#include <iostream>
#include <memory>
#include <numeric>
#include <sstream>
#include <vector>
using ll = long long;
struct City {
City* left = nullptr;
City* right = nullptr;
ll left_dist;
ll right_dist;
bool port;
ll shortest_down = LLONG_MAX;
bool has_parent = false;
void connect(City& o, ll dist) {
assert(o.has_parent == false);
if (!left) {
left = &o;
left_dist = dist;
} else {
assert(!right);
right = &o;
right_dist = dist;
}
o.has_parent = true;
}
void calc_down() {
if (port) {
shortest_down = 0;
return;
}
ll l = LLONG_MAX;
ll r = LLONG_MAX;
if (left) {
left->calc_down();
l = left->shortest_down;
}
if (right) {
right->calc_down();
r = right->shortest_down;
}
auto add = [](ll a, ll b) {
if (a == LLONG_MAX || b == LLONG_MAX) return LLONG_MAX;
return a + b;
};
shortest_down = std::min(add(l, left_dist), add(r, right_dist));
}
ll shortest = LLONG_MAX;
void calc_shortest(ll up_dist, City* p) {
if (!p) {
shortest = shortest_down;
} else if (port) {
shortest = 0;
} else {
auto add = [](ll a, ll b) {
if (a == LLONG_MAX || b == LLONG_MAX) return LLONG_MAX;
return a + b;
};
ll l = left ? add(left->shortest_down, left_dist) : LLONG_MAX;
ll r = right ? add(right->shortest_down, right_dist) : LLONG_MAX;
shortest = std::min(std::min(l, r), add(p->shortest, up_dist));
}
if (left) left->calc_shortest(left_dist, this);
if (right) right->calc_shortest(right_dist, this);
}
};
int main() {
std::cin.sync_with_stdio(false);
// auto& stream = std::cin;
std::stringstream ss{ R"(6
1 1 0 0 1 1
1 2 20
2 3 30
2 5 50
3 6 60
1 4 10)" };
ss.copyfmt(std::cin);
ss.exceptions(ss.badbit | ss.failbit);
auto& stream = ss;
int n;
stream >> n;
std::vector<City> cities;
cities.reserve(n);
for (int i = 0; i < n; ++i) {
//
int v;
stream >> v;
City nw;
nw.port = v == 0 ? true : false;
cities.push_back(nw);
}
for (int i = 0; i < n - 1; ++i) {
int a, b, c;
stream >> a >> b >> c;
cities[a - 1].connect(cities[b - 1], c);
}
City* root;
for (auto& c : cities) {
if (c.has_parent == false) {
root = &c;
break;
}
}
std::cout << root << "\n";
root->calc_down();
root->calc_shortest(LLONG_MAX, nullptr);
std::cout << root->shortest_down << "\n";
ll sum = 0;
for (auto& c : cities) {
std::cout << c.shortest << "\n";
sum += c.shortest;
}
std::cout << "\n" << sum << "\n";
}