You are playing one RPG from the 2010s. You are planning to raise your smithing skill, so you need as many resources as possible. So how to get resources? By stealing, of course.

You decided to rob a town's blacksmith and you take a follower with you. You can carry at most p units and your follower — at most f units.

In the blacksmith shop, you found cnt_s swords and cnt_w war axes. Each sword weights s units and each war axe — w units. You don't care what to take, since each of them will melt into one steel ingot.

What is the maximum number of weapons (both swords and war axes) you and your follower can carry out from the shop?

Input

The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases.

The first line of each test case contains two integers p and f (1 ≤ p, f ≤ 10^9) — yours and your follower's capacities.

The second line of each test case contains two integers cnt_s and cnt_w (1 ≤ cnt_s, cnt_w ≤ 2 ⋅ 10^5) — the number of swords and war axes in the shop.

The third line of each test case contains two integers s and w (1 ≤ s, w ≤ 10^9) — the weights of each sword and each war axe.

It's guaranteed that the total number of swords and the total number of war axes in all test cases don't exceed 2 ⋅ 10^5.

Output

For each test case, print the maximum number of weapons (both swords and war axes) you and your follower can carry.

Example

Input


3
33 27
6 10
5 6
100 200
10 10
5 5
1 19
1 3
19 5


Output


11
20
3

Note

In the first test case: 

  * you should take 3 swords and 3 war axes: 3 ⋅ 5 + 3 ⋅ 6 = 33 ≤ 33 
  * and your follower — 3 swords and 2 war axes: 3 ⋅ 5 + 2 ⋅ 6 = 27 ≤ 27. 

3 + 3 + 3 + 2 = 11 weapons in total.

In the second test case, you can take all available weapons even without your follower's help, since 5 ⋅ 10 + 5 ⋅ 10 ≤ 100.

In the third test case, you can't take anything, but your follower can take 3 war axes: 3 ⋅ 5 ≤ 19.
import java.io.*;
import java.util.*;
import java.math.*;
public class Main {
    InputStream is;
    PrintWriter out;
    String INPUT = "";
    //class  Declaration
 
static class pair implements Comparable < pair > {
long x;
long y;
pair(long i, long j) {
    x = i;
    y = j;
}
public int compareTo(pair p) {
    if (this.x != p.x) {
        return Long.compare(this.x,p.x);
    } else {
        return Long.compare(this.y,p.y);
    }
}
public int hashCode() {
    return (x + " " + y).hashCode();
}
public String toString() {
    return x + " " + y;
}
public boolean equals(Object o) {
    pair x = (pair) o;
    return (x.x == this.x && x.y == this.y);
}
}

 
// int[] dx = {0,0,1,-1};
// int[] dy = {1,-1,0,0};
// int[] ddx = {0,0,1,-1,1,-1,1,-1}; 
// int[] ddy = {1,-1,0,0,1,-1,-1,1};
 
final int inf = (int) 1e9 + 9;
final long biginf  = (long)1e18 + 7 ;
final long mod =  (long)1e9+7;  

void solve() throws Exception {
int T=ni();
while(T-->0){
    long tp=ni(),tf = ni();
   long p = Math.max(tp,tf);
   long f = Math.min(tp,tf);


    long cnts=ni(),cntw=ni();
    long s=ni(),w=ni();
    ArrayList<pair> al =new ArrayList<>();
    al.add(new pair(s,cnts));
    al.add(new pair(w,cntw));
    Collections.sort(al);
    s = al.get(0).x; cnts = al.get(0).y;
    w = al.get(1).x; cntw = al.get(1).y;


    long ans  = -1 ;
    for(long i=0;i<=cnts;++i){
       long c1 = p,c2= f;
       long la = 0;
       long temp_cntw = cntw;
        if(i*s <= c1){
            //pn("trying i "+i);

            c1-= i*s;   
            la+=i;

            la+= Math.min(cnts-i,c2/s);
            c2-= Math.min((cnts-i)*s,(c2/s)*s);

           // pn("c1 c2 "+c1+" "+c2);

            la += Math.min(c1/w,temp_cntw);
            temp_cntw -= Math.min(c1/w,temp_cntw);

           // pn("temp_cntw  aft 1  "+temp_cntw);

            la+= Math.min(c2/w,temp_cntw);
            temp_cntw -= Math.min(c1/w,temp_cntw);
           // pn("temp_cntw  aft 2  "+temp_cntw);

            ans = Math.max(la,ans);

        }
    }
    pn(ans);

}
}



long pow(long a, long b) {
    long result = 1;
    while (b > 0) {
        if (b % 2 == 1) result = (result * a) % mod;
        b /= 2;
        a = (a * a) % mod;
    }
    return result;
}
 
void print(Object o) {
        System.out.println(o);
        System.out.flush();
}
long gcd(long a, long b) {
        if (b == 0)
            return a;
        return gcd(b, a % b);
    }
void run() throws Exception {
        is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
        out = new PrintWriter(System.out);
 
        long s = System.currentTimeMillis();
        solve();
        out.flush();
        //System.out.println(System.currentTimeMillis() - s + "ms");
        if (!INPUT.isEmpty()) tr(System.currentTimeMillis() - s + "ms");
    }
 
 
public static void main(String[] args) throws Exception {
    new Main().run();
}
 
//output methods
private void pn(Object o) {
    out.println(o);
}
private void p(Object o) {
    out.print(o);
}
private ArrayList < ArrayList < Integer >> ng(int n, int e) {
    ArrayList < ArrayList < Integer >> g = new ArrayList < > ();
    for (int i = 0; i <= n; ++i) g.add(new ArrayList < > ());
 
    for (int i = 0; i < e; ++i) {
        int u = ni(), v = ni();
        g.get(u).add(v);
        g.get(v).add(u);
    }
 
    return g;
}
 
private ArrayList < ArrayList < pair >> nwg(int n, int e) {
    ArrayList < ArrayList < pair >> g = new ArrayList < > ();
    for (int i = 0; i <= n; ++i) g.add(new ArrayList < > ());
 
    for (int i = 0; i < e; ++i) {
        int u = ni(), v = ni(), w = ni();
        
        g.get(u).add(new pair(w, v));
        g.get(v).add(new pair(w, u));
    }
 
    return g;
}
 
 
//input methods
private byte[] inbuf = new byte[1024];
public int lenbuf = 0, ptrbuf = 0;
 
 
private int readByte() {
    if (lenbuf == -1) throw new InputMismatchException();
    if (ptrbuf >= lenbuf) {
        ptrbuf = 0;
        try {
            lenbuf = is.read(inbuf);
        } catch (IOException e) {
            throw new InputMismatchException();
        }
        if (lenbuf <= 0) return -1;
    }
    return inbuf[ptrbuf++];
}
 
 
 
 
private boolean isSpaceChar(int c) {
    return !(c >= 33 && c <= 126);
}
private int skip() {
    int b;
    while ((b = readByte()) != -1 && isSpaceChar(b));
    return b;
}
 
private double nd() {
    return Double.parseDouble(ns());
}
private char nc() {
    return (char) skip();
}
 
private String ns() {
    int b = skip();
    StringBuilder sb = new StringBuilder();
    while (!(isSpaceChar(b))) { // when nextLine, (isSpaceChar(b) && b != ' ')
        sb.appendCodePoint(b);
        b = readByte();
    }
    return sb.toString();
}
 
private char[] ns(int n) {
    char[] buf = new char[n];
    int b = skip(), p = 0;
    while (p < n && !(isSpaceChar(b))) {
        buf[p++] = (char) b;
        b = readByte();
    }
    return n == p ? buf : Arrays.copyOf(buf, p);
}
 
private char[][] nm(int n, int m) {
    char[][] map = new char[n][];
    for (int i = 0; i < n; i++) map[i] = ns(m);
    return map;
}
 
private int[] na(int n) {
    int[] a = new int[n];
    for (int i = 0; i < n; i++) a[i] = ni();
    return a;
}
 
private int ni() {
    int num = 0, b;
    boolean minus = false;
    while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
    if (b == '-') {
        minus = true;
        b = readByte();
    }
 
    while (true) {
        if (b >= '0' && b <= '9') {
            num = num * 10 + (b - '0');
        } else {
            return minus ? -num : num;
        }
        b = readByte();
    }
}
 
private long nl() {
    long num = 0;
    int b;
    boolean minus = false;
    while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
    if (b == '-') {
        minus = true;
        b = readByte();
    }
 
    while (true) {
        if (b >= '0' && b <= '9') {
            num = num * 10 + (b - '0');
        } else {
            return minus ? -num : num;
        }
        b = readByte();
    }
}
 
private void tr(Object...o) {
    if (INPUT.length() > 0) System.out.println(Arrays.deepToString(o));
}
void watch(Object...a) throws Exception {
    int i = 1;
    print("watch starts :");
    for (Object o: a) {
        //print(o);
        boolean notfound = true;
        if (o.getClass().isArray()) {
 
            String type = o.getClass().getName().toString();
            //print("type is "+type);
            switch (type) {
                case "[I":
                    {
                        int[] test = (int[]) o;
                        print(i + " " + Arrays.toString(test));
                        break;
                    }
                case "[[I":
                    {
                        int[][] obj = (int[][]) o;
 
                        print(i + " " + Arrays.deepToString(obj));
                        break;
                    }
                case "[J":
                    {
 
                        long[] obj = (long[]) o;
                        print(i + " " + Arrays.toString(obj));
                        break;
                    }
                case "[[J":
                    {
 
                        long[][] obj = (long[][]) o;
                        print(i + " " + Arrays.deepToString(obj));
                        break;
                    }
                case "[D":
                    {
 
                        double[] obj = (double[]) o;
                        print(i + " " + Arrays.toString(obj));
                        break;
                    }
                case "[[D":
                    {
 
                        double[][] obj = (double[][]) o;
                        print(i + " " + Arrays.deepToString(obj));
                        break;
                    }
                case "[Ljava.lang.String":
                    {
 
                        String[] obj = (String[]) o;
                        print(i + " " + Arrays.toString(obj));
                        break;
                    }
                case "[[Ljava.lang.String":
                    {
 
                        String[][] obj = (String[][]) o;
                        print(i + " " + Arrays.deepToString(obj));
                        break;
                    }
                case "[C":
                    {
                        char[] obj = (char[]) o;
                        print(i + " " + Arrays.toString(obj));
                        break;
                    }
                case "[[C":
                    {
 
                        char[][] obj = (char[][]) o;
                        print(i + " " + Arrays.deepToString(obj));
                        break;
                    }
 
 
 
                default:
                    {
                        print(i + " type not identified");
                        break;
                    }
            }
            notfound = false;
 
        }
        if (o.getClass() == ArrayList.class) {
            print(i + " al: " + o);
            notfound = false;
        }
        if (o.getClass() == HashSet.class) {
            print(i + " hs: " + o);
            notfound = false;
        }
        if (o.getClass() == TreeSet.class) {
            print(i + " ts: " + o);
            notfound = false;
        }
        if (o.getClass() == TreeMap.class) {
            print(i + " tm: " + o);
            notfound = false;
        }
        if (o.getClass() == HashMap.class) {
            print(i + " hm: " + o);
            notfound = false;
        }
        if (o.getClass() == LinkedList.class) {
            print(i + " ll: " + o);
            notfound = false;
        }
        if (o.getClass() == PriorityQueue.class) {
            print(i + " pq : " + o);
            notfound = false;
        }
        if (o.getClass() == pair.class) {
            print(i + " pq : " + o);
            notfound = false;
        }
 
        if (notfound) {
            print(i + " unknown: " + o);
        }
        i++;
    }
    print("watch ends ");
}
 
}