Problem: Uncle Bogdan is in captain Flint's crew for a long time and sometimes gets nostalgic for his homeland. Today he told you how his country introduced a happiness index.

There are n cities and n−1 undirected roads connecting pairs of cities. Citizens of any city can reach any other city traveling by these roads. Cities are numbered from 1 to n and the city 1 is a capital. In other words, the country has a tree structure.

There are m citizens living in the country. A p_i people live in the i-th city but all of them are working in the capital. At evening all citizens return to their home cities using the shortest paths. 

Every person has its own mood: somebody leaves his workplace in good mood but somebody are already in bad mood. Moreover any person can ruin his mood on the way to the hometown. If person is in bad mood he won't improve it.

Happiness detectors are installed in each city to monitor the happiness of each person who visits the city. The detector in the i-th city calculates a happiness index h_i as the number of people in good mood minus the number of people in bad mood. Let's say for the simplicity that mood of a person doesn't change inside the city.

Happiness detector is still in development, so there is a probability of a mistake in judging a person's happiness. One late evening, when all citizens successfully returned home, the government asked uncle Bogdan (the best programmer of the country) to check the correctness of the collected happiness indexes.

Uncle Bogdan successfully solved the problem. Can you do the same?

More formally, You need to check: "Is it possible that, after all people return home, for each city i the happiness index will be equal exactly to h_i".

Input

The first line contains a single integer t (1 ≤ t ≤ 10000) — the number of test cases.

The first line of each test case contains two integers n and m (1 ≤ n ≤ 10^5; 0 ≤ m ≤ 10^9) — the number of cities and citizens.

The second line of each test case contains n integers p_1, p_2, …, p_{n} (0 ≤ p_i ≤ m; p_1 + p_2 + … + p_{n} = m), where p_i is the number of people living in the i-th city.

The third line contains n integers h_1, h_2, …, h_{n} (-10^9 ≤ h_i ≤ 10^9), where h_i is the calculated happiness index of the i-th city.

Next n − 1 lines contain description of the roads, one per line. Each line contains two integers x_i and y_i (1 ≤ x_i, y_i ≤ n; x_i ≠ y_i), where x_i and y_i are cities connected by the i-th road.

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

Output

For each test case, print YES, if the collected data is correct, or NO — otherwise. You can print characters in YES or NO in any case.

Examples

Input


2
7 4
1 0 1 1 0 1 0
4 0 0 -1 0 -1 0
1 2
1 3
1 4
3 5
3 6
3 7
5 11
1 2 5 2 1
-11 -2 -6 -2 -1
1 2
1 3
1 4
3 5


Output


YES
YES


Input


2
4 4
1 1 1 1
4 1 -3 -1
1 2
1 3
1 4
3 13
3 3 7
13 1 4
1 2
1 3


Output


NO
NO

Note

Let's look at the first test case of the first sample: 

<image>

At first, all citizens are in the capital. Let's describe one of possible scenarios: 

  * a person from city 1: he lives in the capital and is in good mood; 
  * a person from city 4: he visited cities 1 and 4, his mood was ruined between cities 1 and 4; 
  * a person from city 3: he visited cities 1 and 3 in good mood; 
  * a person from city 6: he visited cities 1, 3 and 6, his mood was ruined between cities 1 and 3; 

In total, 
  * h_1 = 4 - 0 = 4, 
  * h_2 = 0, 
  * h_3 = 1 - 1 = 0, 
  * h_4 = 0 - 1 = -1, 
  * h_5 = 0, 
  * h_6 = 0 - 1 = -1, 
  * h_7 = 0. 



The second case of the first test: 

<image>

All people have already started in bad mood in the capital — this is the only possible scenario.

The first case of the second test: 

<image>

The second case of the second test: 

<image>

It can be proven that there is no way to achieve given happiness indexes in both cases of the second test. 

Solution (in JAVA):

Solution:


import java.io.*;
import java.util.*;

public class TestClass {

    static final class InputReader {
        private final InputStream stream;
        private final byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        private int read() throws IOException {
            if (curChar >= numChars) {
                curChar = 0;
                numChars = stream.read(buf);
                if (numChars <= 0) {
                    return -1;
                }
            }
            return buf[curChar++];
        }

        public final int readInt() throws IOException {
            return (int) readLong();
        }

        public final long readLong() throws IOException {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
                if (c == -1) throw new IOException();
            }
            boolean negative = false;
            if (c == '-') {
                negative = true;
                c = read();
            }
            long res = 0;
            do {
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return negative ? -res : res;
        }

        public final int[] readIntArray(int size) throws IOException {
            int[] array = new int[size];
            for (int i = 0; i < size; i++) {
                array[i] = readInt();
            }
            return array;
        }

        public final long[] readLongArray(int size) throws IOException {
            long[] array = new long[size];
            for (int i = 0; i < size; i++) {
                array[i] = readLong();
            }
            return array;
        }

        public final String readString() throws IOException {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            StringBuilder res = new StringBuilder();
            do {
                res.append((char) c);
                c = read();
            } while (!isSpaceChar(c));
            return res.toString();
        }

        private boolean isSpaceChar(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }
    }

    static long mulmod(long a, long b,
                       long mod) {
        long res = 0; // Initialize result
        a = a % mod;
        while (b > 0) {
            // If b is odd, add 'a' to result
            if (b % 2 == 1) {
                res = (res + a) % mod;
            }

            // Multiply 'a' with 2
            a = (a * 2) % mod;

            // Divide b by 2
            b /= 2;
        }

        // Return result
        return res % mod;
    }

    static long pow(long a, long b, long MOD) {
        long x = 1, y = a;
        while (b > 0) {
            if (b % 2 == 1) {
                x = (x * y);
                if (x > MOD) x %= MOD;
            }
            y = (y * y);
            if (y > MOD) y %= MOD;
            b /= 2;
        }
        return x;
    }

    static long[] f = new long[100011];

    static long InverseEuler(long n, long MOD) {
        return pow(n, MOD - 2, MOD);
    }

    static long C(int n, int r, long MOD) {

        return (f[n] * ((InverseEuler(f[r], MOD) * InverseEuler(f[n - r], MOD)) % MOD)) % MOD;
    }


    static int[] h = {0, 0, -1, 1};
    static int[] v = {1, -1, 0, 0};


    static class Pair2 {
        public int from;
        int to;

        int pos;

        public Pair2(int from, int to, int pos) {
            this.from = from;
            this.to = to;
            this.pos = pos;
        }

        @Override
        public boolean equals(Object o) {
            if (this == o) return true;
            if (o == null || getClass() != o.getClass()) return false;
            Pair2 pair2 = (Pair2) o;
            return from == pair2.from &&
                    to == pair2.to &&
                    pos == pair2.pos;
        }

        @Override
        public int hashCode() {
            return Objects.hash(from, to, pos);
        }
    }


    static long l[][] = new long[100011][6];

    static long compute_hash(String s) {
        int p = 31;
        int m = 1000000007;
        long hash_value = 0;
        long p_pow = 1;
        for (int i = 0; i < s.length(); ++i) {
            char c = s.charAt(i);
            hash_value = (hash_value + (c - 'a' + 1) * p_pow) % m;
            p_pow = (p_pow * p) % m;
        }
        return hash_value;
    }

    public static class SegmentTree {
        int[][] tree;
        long[] sumtree;
        long[] count;
        int n;

        public SegmentTree(int[] nodes) {
            tree = new int[nodes.length * 4][31];
            sumtree = new long[nodes.length * 4];
            count = new long[nodes.length * 4];
            n = nodes.length;
            build(0, n - 1, 0, nodes);
        }

        private void build(int l, int r, int pos, int[] nodes) {
            if (l == r) {
                sumtree[pos] = nodes[l];
                boolean neg = false;
                if (nodes[l] < 0) {
                    neg = true;
                }
                count[pos] = 1;
                if (neg) {
                    count[pos] = -1;
                }
                for (int i = 0; i < 31; ++i) {
                    tree[pos][i] = (neg ? -1 : 1) * (((nodes[l] < 0 ? -1 * nodes[l] : nodes[l]) & (1 << i)) != 0 ? 1 : 0);
                }
                return;
            }
            int mid = (l + r) / 2;
            build(l, mid, 2 * pos + 1, nodes);
            build(mid + 1, r, 2 * pos + 2, nodes);
            sumtree[pos] = sumtree[2 * pos + 1] + sumtree[2 * pos + 2];
            count[pos] = count[2 * pos + 1] + count[2 * pos + 2];

            for (int i = 0; i < 31; ++i) {
                tree[pos][i] = tree[2 * pos + 1][i] + tree[2 * pos + 2][i];
            }
        }

        public long getSum(int l, int r) {
            return getSumUtil(0, n - 1, 0, l, r);
        }

        private long getSumUtil(int l, int r, int pos, int ql, int qr) {
            if (l > qr || r < ql) return 0L;
            if (l >= ql && r <= qr) {
                return sumtree[pos];
            }
            int mid = (l + r) >> 1;
            return getSumUtil(l, mid, 2 * pos + 1, ql, qr) + getSumUtil(mid + 1, r, 2 * pos + 2, ql, qr);
        }

        public long getCount(int l, int r) {
            return getCountUtil(0, n - 1, 0, l, r);
        }

        private long getCountUtil(int l, int r, int pos, int ql, int qr) {
            if (l > qr || r < ql) return 0L;
            if (l >= ql && r <= qr) {
                return count[pos];
            }
            int mid = (l + r) >> 1;
            return getCountUtil(l, mid, 2 * pos + 1, ql, qr) + getCountUtil(mid + 1, r, 2 * pos + 2, ql, qr);
        }

        public int[] getBitCount(int l, int r) {
            return getBitCountUtil(0, n - 1, 0, l, r);
        }

        private int[] getBitCountUtil(int l, int r, int pos, int ql, int qr) {
            if (l > qr || r < ql) return null;
            if (l >= ql && r <= qr) {
                int[] returs = new int[30];
                for (int i = 0; i < 30; ++i) {
                    returs[i] = tree[pos][i];
                }
                return returs;
            }
            int mid = (l + r) >> 1;

            int[] left = getBitCountUtil(l, mid, 2 * pos + 1, ql, qr);
            int[] right = getBitCountUtil(mid + 1, r, 2 * pos + 2, ql, qr);
            if (left == null) return right;
            if (right == null) return left;
            // int[] returs = new int[30];
            for (int i = 0; i < 30; ++i) {
                left[i] += right[i];
            }
            return left;
        }


    }

    static int counter = 0;
    static int[] In;
    static int[] Out;
    private static int[] flatten;
    private static int[][] lca;
    static long answer = 0;

    static int VISITED = 1;
    static int VISITING = 2;

    public static class MD {
        public class Pair {
            long val;
            int count;

            public Pair(long val, int count) {
                this.val = val;
                this.count = count;
            }
        }

        Deque<Pair> dq = new LinkedList<>();

        public void remove() {
            Pair first = dq.getFirst();
            dq.removeFirst();
            if (first.count != 1) {
                dq.addFirst(new Pair(first.val, first.count - 1));
            }
        }

        public void add(long val) {
            int count = 1;
            while (dq.size() != 0) {

                Pair last = dq.peekLast();
                if (last.val >= val) {
                    count += last.count;
                } else {
                    break;
                }
                dq.removeLast();

            }

            dq.addLast(new Pair(val, count));
        }

        public long get() {
            return dq.getFirst().val;
        }
    }
    static boolean ans = true;
    public static void main(String[] args) throws Exception {
        //https://i...content-available-to-author-only...e.com/ebRGa6
//        File initialFile = new File("Madarchod.txt");
//        InputStream targetStream = new FileInputStream(initialFile);
//
//        InputReader in = new InputReader(targetStream);
//
//        PrintStream o = new PrintStream(new File("Madarchod2.txt"));
//
//        // Store current System.out before assigning a new value
//        PrintStream console = System.out;
//
//        // Assign o to output stream
//        System.setOut(o);

        InputReader in = new InputReader(System.in);

//        l[0][0] = 1;
//        for (int i = 1; i < 100008; i++) {
//            // Set every nCr = 1 where r = 0
//            l[i][0] = 1;
//            for (int j = 1; j < 5; j++) {
//
//                // Value for the current cell of Pascal's triangle
//                l[i][j] = (l[i - 1][j - 1] + l[i - 1][j]) % 1000000007;
//            }
//        }


        int t = in.readInt();

        for (int kk = 1; kk <= t; ++kk) {
            int n = in.readInt();
            int m = in.readInt();

            long totpop = 0;
            int[] pop = new int[n];
            for (int i = 0; i < n; ++i) {
                pop[i] = in.readInt();
                totpop += pop[i];
            }

            long[] check = new long[n];
            for (int i = 0; i < n; ++i) {
                check[i] = in.readLong();
            }

            List<List<Integer>> tree = new ArrayList<>();

            for (int i = 0; i < n; ++i) {
                tree.add(new ArrayList<>());
            }

            for (int i =0; i < n-1; ++i) {
                int from = in.readInt();
                int to = in.readInt();
                from--;
                to--;
                tree.get(from).add(to);
                tree.get(to).add(from);
            }

            long[] vis = new long[n];

            long[] happy = new long[n];
            long[] sad = new long[n];

            ans = true;
            dfss(tree, vis, pop, -1, 0, check, happy, sad);

//            for (int i = 0; i < n; ++i) {
//                System.out.println(sad[i]);
//            }



            if (ans) {
                System.out.println("YES");
            } else {

                System.out.println("NO");
            }









        }




    }

    private static void dfss(List<List<Integer>> tree, long[] vis, int[] pop, int last, int node, long[] check, long[] happy, long[] sad) {
        vis[node] = pop[node];
        long sadsum = 0;
        for (int i = 0; i < tree.get(node).size(); ++i) {
            int ntb = tree.get(node).get(i);
            if (ntb != last) {
                dfss(tree, vis, pop, node, ntb, check, happy, sad);
                vis[node] += vis[ntb];
//                if (sadsum == Integer.MAX_VALUE) {
//                    sadsum = sad[ntb];
//                } else
                sadsum += sad[ntb];
            }
        }
        if (!(check[node] >= (vis[node] * -1) && (check[node] <= vis[node]))) {
            ans = false;
        } else {
            if (vis[node] % 2 == 0) {
                if (check[node] % 2 != 0) {
                    ans = false;
                }
            } else {
                if (check[node] % 2 == 0) {
                    ans = false;
                }
            }

            sad[node] = vis[node] - ((vis[node] - check[node])/2);
        }
        if (sad[node] < sadsum) {
//            System.out.println("fuck" + node + " "+ sad[node] + " " + sadsum);
            ans = false;
        }

    }

    private static void dfs(List<List<Integer>> tree, int node, int last, int[] size, int[] max, long[] sum, int[] color, List<Map<Integer, Integer>> colorCounts) {
        size[node] = 1;
        int biggest = -1;
        List<Integer> childs = new ArrayList<>();
        for (int i = 0; i < tree.get(node).size(); ++i) {
            int ntb = tree.get(node).get(i);

            if (ntb != last) {
                dfs(tree, ntb, node, size, max, sum, color, colorCounts);
                size[node] += size[ntb];
                childs.add(ntb);
                biggest = ntb;
            }
        }
        if (biggest != -1) {

//            System.out.println(node);
            long curBiggest = sum[biggest];
            if (colorCounts.get(biggest).getOrDefault(color[node], 0) == max[biggest]) {
                colorCounts.get(biggest).put(color[node], colorCounts.get(biggest).get(color[node]) + 1);
                curBiggest = color[node];
                max[biggest] = max[biggest] + 1;
            } else if (colorCounts.get(biggest).getOrDefault(color[node], 0) + 1 == max[biggest]) {
                colorCounts.get(biggest).put(color[node], colorCounts.get(biggest).getOrDefault(color[node], 0) + 1);
                curBiggest += color[node];

//                System.out.println("chiutadd");
            } else {
                colorCounts.get(biggest).put(color[node], colorCounts.get(biggest).getOrDefault(color[node], 0) + 1);
            }

//            System.out.println(max[biggest]);

            for (int i = 0; i < childs.size(); ++i) {
                if (childs.get(i) != biggest) {

                    int noder = childs.get(i);


                    for (Map.Entry<Integer, Integer> entry : colorCounts.get(noder).entrySet()) {
                        Integer noderColor = entry.getKey();
                        Integer counts = entry.getValue();
                        if (node == 3) {
//                            System.out.println(colorCounts.get(biggest).getOrDefault(noderColor, 0) + " " +  max[biggest] + " " + noderColor + " " + counts + " ");
                        }
                        if (colorCounts.get(biggest).getOrDefault(noderColor, 0) + counts > max[biggest]) {
                            if (node == 3) {
//                                System.out.println("A");
                            }
                            max[biggest] = colorCounts.get(biggest).getOrDefault(noderColor, 0) + counts;
                            colorCounts.get(biggest).put(noderColor, colorCounts.get(biggest).getOrDefault(noderColor, 0) + counts);
                            curBiggest = noderColor;
                        } else if (colorCounts.get(biggest).getOrDefault(noderColor, 0) + counts == max[biggest]) {
                            if (node == 3) {
//                                System.out.println("B");
                            }
                            colorCounts.get(biggest).put(noderColor, colorCounts.get(biggest).getOrDefault(noderColor, 0) + counts);
                            curBiggest += noderColor;
                        } else {
                            if (node == 3) {
//                                System.out.println("C");
                            }
                            colorCounts.get(biggest).put(noderColor, colorCounts.get(biggest).getOrDefault(noderColor, 0) + counts);
                        }
                    }

                }
            }

//            System.out.println(curBiggest);

            sum[node] = curBiggest;
            max[node] = max[biggest];
            colorCounts.set(node, colorCounts.get(biggest));
        } else {
            sum[node] = color[node];
            max[node] = 1;
            HashMap<Integer, Integer> e = new HashMap<>();
            e.put(color[node], 1);
            colorCounts.set(node, e);
        }
    }

    private static long solved(Long pos, TreeMap<Long, Long> mapPos, Map<Long, Long> dp) {
        if (!mapPos.containsKey(pos)) return 0;
        if (dp.containsKey(pos)) return dp.get(pos);
        long len = solved(pos + mapPos.get(pos), mapPos, dp) + mapPos.get(pos);
        dp.put(pos, len);
        return len;
    }

    private static long solve(int pos, int curK, int k, int[] arr, int m, long[][] dp) {
        System.out.println(pos);
        if (pos == arr.length) {
            if (curK == k) return 0;
            return -1000000000000L;
        }

        if (curK > k) return -1000000000000L;

        if (dp[pos][curK] != -1) return dp[pos][curK];

        long with = -1000000000000L;
        if (curK < k)
            with = solve(pos + 1, curK + 1, k, arr, m, dp) + arr[pos] * (((curK + 1) % m));
        long without = solve(pos + 1, curK, k, arr, m, dp);

        return dp[pos][curK] = Math.max(with, without);
    }

    static int countFreq(String pattern, String text) {
        int m = pattern.length();
        int n = text.length();
        int res = 0;

        for (int i = 0; i <= n - m; i++) {
            int j;
            for (j = 0; j < m; j++) {
                if (text.charAt(i + j) != pattern.charAt(j)) {
                    break;
                }
            }
            if (j == m) {
                res++;
                j = 0;
            }
        }
        return res;
    }


    private static void preprocess(int pos, int[][] pre, List<List<Integer>> tree, int[] traverse, int depth, int last, int[] tin, int[] tout) {
        tin[pos] = counter++;
        traverse[depth] = pos;

        for (int i = 0; depth - (1 << i) >= 0; ++i) {
            pre[pos][i] = traverse[depth - (1 << i)];
        }

        for (int i = 0; i < tree.get(pos).size(); ++i) {
            if (tree.get(pos).get(i) != last)
                preprocess(tree.get(pos).get(i), pre, tree, traverse, depth + 1, pos, tin, tout);
        }
        tout[pos] = counter++;
    }

    static int gcd(int a, int b) {

        while (b != 0) {
            int t = a;
            a = b;
            b = t % b;
        }
        return a;
    }


    static boolean submit = true;

    static void debug(String s) {
        if (!submit)
            System.out.println(s);
    }

    static void debug(int s) {
        if (!submit)
            System.out.println(s);
    }


}