// Utado.cpp : This file contains the 'main' function. Program execution begins and ends there.
//

#include <iostream>
#include <vector>
#include <map>
#include <queue>
#include <algorithm>

using namespace std;

struct adat
{
    bool lat;
    int ag = 1;
    vector <int> sz;
};

struct adat2
{
    int db;
    pair<int, int> par;
};

int i, n, a, b, mod=32609;
long long sum;
vector <adat> x;

void mely(int akt)
{
    x[akt].lat = 1;
    for (auto& e : x[akt].sz)
    {
        if (!x[e].lat)
        {
            mely(e);
            x[akt].ag += x[e].ag;
        }
    }
}

bool comp(adat2 a, adat2 b)
{
    return a.db < b.db;
}

int main()
{
    cin >> n;
    vector <adat2> el(n);
    vector <int> ar(n);
    x.resize(n + 1);

    for (i = 1; i < n; ++i)
    {
        cin >> a >> b;

        el[i].par = { a, b };
        x[a].sz.push_back(b);
        x[b].sz.push_back(a);
    }

    for (i = 1; i < n; ++i)
    {
        cin >> ar[i];
    }

    mely(1);

    sort(ar.begin() + 1, ar.end());

    for (i = 1; i < n; ++i)
    {
        b = el[i].par.second;
        el[i].db = 2 * x[b].ag * (n - x[b].ag);
        //cout << el[i].par.first << " " << el[i].par.second << " " << el[i].db << "\n";
    }

    sort(el.begin() + 1, el.end(), comp);

    for (i = 1; i < n; ++i)
    {
        sum = sum % mod + (el[i].db * ar[i]) % mod;
    }

    cout << sum<<"\n";
    for (i = 1; i < n; ++i)
    {
        cout << el[i].par.first << " " << el[i].par.second << " " << ar[i] << "\n";
    }

    return 0;
}

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// Debug program: F5 or Debug > Start Debugging menu

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