Parsa has a humongous tree on n vertices.

On each vertex v he has written two integers l_v and r_v.

To make Parsa's tree look even more majestic, Nima wants to assign a number a_v (l_v ≤ a_v ≤ r_v) to each vertex v such that the beauty of Parsa's tree is maximized.

Nima's sense of the beauty is rather bizarre. He defines the beauty of the tree as the sum of |a_u - a_v| over all edges (u, v) of the tree.

Since Parsa's tree is too large, Nima can't maximize its beauty on his own. Your task is to find the maximum possible beauty for Parsa's tree.

Input

The first line contains an integer t (1≤ t≤ 250) — the number of test cases. The description of the test cases follows.

The first line of each test case contains a single integer n (2≤ n≤ 10^5) — the number of vertices in Parsa's tree.

The i-th of the following n lines contains two integers l_i and r_i (1 ≤ l_i ≤ r_i ≤ 10^9).

Each of the next n-1 lines contains two integers u and v (1 ≤ u , v ≤ n, u≠ v) meaning that there is an edge between the vertices u and v in Parsa's tree.

It is guaranteed that the given graph is a tree.

It is guaranteed that the sum of n over all test cases doesn't exceed 2 ⋅ 10^5.

Output

For each test case print the maximum possible beauty for Parsa's tree.

Example

Input


3
2
1 6
3 8
1 2
3
1 3
4 6
7 9
1 2
2 3
6
3 14
12 20
12 19
2 12
10 17
3 17
3 2
6 5
1 5
2 6
4 6


Output


7
8
62

Note

The trees in the example:

<image>

In the first test case, one possible assignment is a = \{1, 8\} which results in |1 - 8| = 7.

In the second test case, one of the possible assignments is a = \{1, 5, 9\} which results in a beauty of |1 - 5| + |5 - 9| = 8
/*
⠀⠀⠀⠀⣠⣶⡾⠏⠉⠙⠳⢦⡀⠀⠀⠀⢠⠞⠉⠙⠲⡀⠀
⠀⠀⠀⣴⠿⠏⠀⠀⠀⠀⠀⠀⢳⡀⠀⡏⠀⠀Y⠀⠀⢷
⠀⠀⢠⣟⣋⡀⢀⣀⣀⡀⠀⣀⡀⣧⠀⢸⠀⠀A⠀⠀ ⡇
⠀⠀⢸⣯⡭⠁⠸⣛⣟⠆⡴⣻⡲⣿⠀⣸⠀⠀S⠀  ⡇
⠀⠀⣟⣿⡭⠀⠀⠀⠀⠀⢱⠀⠀⣿⠀⢹⠀⠀H⠀⠀ ⡇
⠀⠀⠙⢿⣯⠄⠀⠀⠀⢀⡀⠀⠀⡿⠀⠀⡇⠀⠀⠀⠀⡼
⠀⠀⠀⠀⠹⣶⠆⠀⠀⠀⠀⠀⡴⠃⠀⠀⠘⠤⣄⣠⠞⠀
⠀⠀⠀⠀⠀⢸⣷⡦⢤⡤⢤⣞⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣴⣿⣏⠁⠀⠀⠸⣏⢯⣷⣖⣦⡀⠀⠀⠀⠀⠀⠀
⢀⣾⣽⣿⣿⣿⣿⠛⢲⣶⣾⢉⡷⣿⣿⠵⣿⠀⠀⠀⠀⠀⠀
⣼⣿⠍⠉⣿⡭⠉⠙⢺⣇⣼⡏⠀⠀⠀⣄⢸⠀⠀⠀⠀⠀⠀
⣿⣿⣧⣀⣿………⣀⣰⣏⣘⣆⣀⠀⠀
 */

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter; // System.out is a PrintStream
// import java.util.Arrays;
// import java.util.ArrayDeque;
import java.util.ArrayList;
// import java.util.Collections;    //  for sorting ArrayList mainly
// import java.util.HashMap;
// import java.util.HashSet;
// import java.util.Random;
import java.util.StringTokenizer;

public class C {
    @SuppressWarnings("unchecked")
    public static void main(String[] args) throws IOException {
        FastScanner scn = new FastScanner();
        PrintWriter out = new PrintWriter(System.out);
        for (int tc = scn.nextInt(); tc > 0; tc--) {
            int N = scn.nextInt();
            ArrayList<Integer>[] graph = new ArrayList[N];
            long[][] lim = new long[N][];
            for (int i = 0; i < N; i++) {
                graph[i] = new ArrayList<>();
                lim[i] = new long[] { 0L + scn.nextInt(), 0L + scn.nextInt() };
            }
            for (int i = 0; i < N - 1; i++) {
                int u = scn.nextInt() - 1, v = scn.nextInt() - 1;
                graph[u].add(v);
                graph[v].add(u);
            }
            long[][] dp = new long[N][2];
            solve(graph, 0, lim, dp, -1);
            out.println(Math.max(dp[0][1], dp[0][0]));
        }
        out.close();
    }

    private static void solve(ArrayList<Integer>[] graph, int src, long[][] lim, long[][] dp, int par) {
        dp[src][0] = dp[src][1] = 0;
        for (int e : graph[src]) {
            if (e == par) continue;
            solve(graph, e, lim, dp, src);
            dp[src][0] += Math.max(dp[e][0] + Math.abs(lim[src][0] - lim[e][0]),
            dp[e][1] + Math.abs(lim[src][0] - lim[e][1]));
            dp[src][1] += Math.max(dp[e][0] + Math.abs(lim[src][1] - lim[e][0]),
            dp[e][1] + Math.abs(lim[src][1] - lim[e][1]));
        }
    }

    private static int gcd(int num1, int num2) {
        int temp = 0;
        while (num2 != 0) {
            temp = num1;
            num1 = num2;
            num2 = temp % num2;
        }
        return num1;
    }

    private static int lcm(int num1, int num2) {
        return (int) ((1L * num1 * num2) / gcd(num1, num2));
    }

    private static void ruffleSort(int[] arr) {
        // int N = arr.length;
        // Random rand = new Random();
        // for (int i = 0; i < N; i++) {
        // int oi = rand.nextInt(N), temp = arr[i];
        // arr[i] = arr[oi];
        // arr[oi] = temp;
        // }
        // Arrays.sort(arr);
    }

    private static class FastScanner {
        BufferedReader br;
        StringTokenizer st;

        FastScanner() {
            this.br = new BufferedReader(new InputStreamReader(System.in));
            this.st = new StringTokenizer("");
        }

        String next() {
            while (!st.hasMoreTokens()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException err) {
                    err.printStackTrace();
                }
            }
            return st.nextToken();
        }

        String nextLine() {
            if (st.hasMoreTokens()) {
                return st.nextToken("").trim();
            }
            try {
                return br.readLine().trim();
            } catch (IOException err) {
                err.printStackTrace();
            }
            return "";
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }
    }
}
