You are given two integers x and y. You can perform two types of operations: 

  1. Pay a dollars and increase or decrease any of these integers by 1. For example, if x = 0 and y = 7 there are four possible outcomes after this operation: 
    * x = 0, y = 6; 
    * x = 0, y = 8; 
    * x = -1, y = 7; 
    * x = 1, y = 7. 

  2. Pay b dollars and increase or decrease both integers by 1. For example, if x = 0 and y = 7 there are two possible outcomes after this operation: 
    * x = -1, y = 6; 
    * x = 1, y = 8. 



Your goal is to make both given integers equal zero simultaneously, i.e. x = y = 0. There are no other requirements. In particular, it is possible to move from x=1, y=0 to x=y=0.

Calculate the minimum amount of dollars you have to spend on it.

Input

The first line contains one integer t (1 ≤ t ≤ 100) — the number of testcases.

The first line of each test case contains two integers x and y (0 ≤ x, y ≤ 10^9).

The second line of each test case contains two integers a and b (1 ≤ a, b ≤ 10^9).

Output

For each test case print one integer — the minimum amount of dollars you have to spend.

Example

Input


2
1 3
391 555
0 0
9 4


Output


1337
0

Note

In the first test case you can perform the following sequence of operations: first, second, first. This way you spend 391 + 555 + 391 = 1337 dollars.

In the second test case both integers are equal to zero initially, so you dont' have to spend money.
// package name;
import java.io.*;
import java.util.*;

public class Main {
	static final long mod = 1000000007;
	static final long lmx = 9223372036854775807l, lmn = -9223372036854775808l;
	static final int imx = 2147483647, imn = -2147483648;
	static final String Y = "YES", NO = "NO", LN = "\n", SPC = " ";
	static Scanner s = new Scanner(System.in);
	//static Reader s = new Reader();
	static PrintWriter out = new PrintWriter(System.out);
	static StringBuffer sb = new StringBuffer();

	public static void main(String[] args) throws IOException {
		int t = 1;
		t = s.nextInt();
		//slinp();
		while (t > 0) {
			t--;
			long x = linp(), y = linp(), a = linp(), b = linp();
			long ans = 0;
			long min = min(x, y), max = max(x, y);
			if(b <= 2 * a) {
				ans = (max - min) * a + (min * b); 
			}
			else {
				ans = (min + max) * a;
			}
			app("" + ans);
			ln();
		}
		out.print(sb);
		out.flush();
	}

	static void app(String x) throws IOException {
		sb.append(x);
	}

	static void spc() throws IOException {
		sb.append(SPC);
	}

	static void ln() throws IOException {
		sb.append(LN);
	}

	static int iinp() throws IOException {
		return s.nextInt();
	}

	static long linp() throws IOException {
		return s.nextLong();
	}

	static double dinp() throws IOException {
		return s.nextDouble();
	}

	static String sinp() throws IOException {
		return s.next();
	}

	static String slinp() throws IOException {
		return s.nextLine();
	}

	static int[] iarr(int n) {
		return new int[n];
	}

	static long[] larr(int n) {
		return new long[n];
	}

	static double[] darr(int n) {
		return new double[n];
	}

	static boolean[] barr(int n) {
		return new boolean[n];
	}

	static String[] sarr(int n) {
		return new String[n];
	}

	static int[][] iarr(int n, int m) {
		return new int[n][m];
	}

	static long[][] larr(int n, int m) {
		return new long[n][m];
	}

	static int[] iinp(int n, int st, int size) throws IOException {
		int a[] = iarr(n);
		for (int i = st; i < st + size; i++)
			a[i] = iinp();
		return a;
	}

	static long[] linp(int n, int st, int size) throws IOException {
		long a[] = larr(n);
		for (int i = st; i < st + size; i++)
			a[i] = linp();
		return a;
	}

	static String[] sinp(int n, int st, int size, String str) throws IOException {
		String a[] = sarr(n);
		for (int i = st; i < st + size; i++)
			if (str.equalsIgnoreCase(SPC))
				a[i] = sinp();
			else
				a[i] = slinp();
		return a;
	}

	static int[][] iinp(int n, int m, int row, int rows, int col, int cols) throws IOException {
		int a[][] = iarr(n, m);
		for (int i = row; i < row + rows; i++)
			for (int j = col; j < col + cols; j++)
				a[i][j] = iinp();
		return a;
	}

	static long[][] linp(int n, int m, int row, int rows, int col, int cols) throws IOException {
		long a[][] = larr(n, m);
		for (int i = row; i < row + rows; i++)
			for (int j = col; j < col + cols; j++)
				a[i][j] = linp();
		return a;
	}

	static void ginp(ArrayList<Integer> g[], int m) throws IOException {
		for (int i = 0; i < m; i++) {
			int u = iinp(), v = iinp();
			g[u].add(u);
			g[v].add(u);
		}
	}

	static long min(long... a) {
		long min = lmx;//Long.MAX_VALUE;
		for (long i : a)
			if (i < min)
				min = i;
		return min;
	}

	static int min(int... a) {
		int min = imx;//Long.MAX_VALUE;
		for (int i : a)
			if (i < min)
				min = i;
		return min;
	}

	static long max(long... a) {
		long max = lmn;//Long.MIN_VALUE;
		for (long i : a)
			if (i > max)
				max = i;
		return max;
	}

	static int max(int... a) {
		int max = imn;//Long.MIN_VALUE;
		for (int i : a)
			if (i > max)
				max = i;
		return max;
	}

	static long gcd(long a, long b) {
		if (b == 0)
			return a;
		return gcd(b, a % b);
	}

	static int gcd(int a, int b) {
		if (b == 0)
			return a;
		return gcd(b, a % b);
	}

	static void sort(int a[]) {
		Arrays.sort(a);
	};

	static void sort(long a[]) {
		Arrays.sort(a);
	};

	static void sort(String a[]) {
		Arrays.sort(a);
	};

	static void sort(int a[], int st, int e) {
		Arrays.sort(a, st, e);
	};

	static void sort(long a[], int st, int e) {
		Arrays.sort(a, st, e);
	};

	static void sort(String a[], int st, int e) {
		Arrays.sort(a, st, e);
	};

	static void sortbycol(int arr[][]) {
		Arrays.sort(arr, new Comparator<int[]>() {
			public int compare(int[] x, int[] y) {
				if (x[1] == y[1])
					return x[2] - y[2];
				return x[1] - y[1]; // sort in increasing order on the basis of first column
			}
		});
	}

	static StringBuffer printarr(long a[], String str) {
		StringBuffer ans = new StringBuffer();
		for (long i : a)
			ans.append(i + str);
		return ans;
	}

}

class Pair implements Comparator<Pair> {
	long a, b;
	Pair(long x, long y) {
		a = x;
		b = y;
	}

	public int compare(Pair p1, Pair p2) {
		if (p1.a != p2.a)
			return (p1.a - p2.a > 0) ? 1 : -1;
		return (p1.b - p2.b > 0) ? 1 : -1;
	}
}
/*class UnorderedPair {
	public final Pair pair;
    @Override int hashCode() { return pair.a.hashCode() ^ pair.b.hashCode(); }

    @Override boolean equals(Object o) {
    	UnorderedPair<A> other = (UnorderedPair<A>) o;
    	return (a.equals(other.a) && b.equals(other.b)) || (a.equals(other.b) && b.equals(other.a));
    }
}*/