Screen resolution of Polycarp's monitor is a × b pixels. Unfortunately, there is one dead pixel at his screen. It has coordinates (x, y) (0 ≤ x < a, 0 ≤ y < b). You can consider columns of pixels to be numbered from 0 to a-1, and rows — from 0 to b-1.

Polycarp wants to open a rectangular window of maximal size, which doesn't contain the dead pixel. The boundaries of the window should be parallel to the sides of the screen.

Print the maximal area (in pixels) of a window that doesn't contain the dead pixel inside itself.

Input

In the first line you are given an integer t (1 ≤ t ≤ 10^4) — the number of test cases in the test. In the next lines you are given descriptions of t test cases.

Each test case contains a single line which consists of 4 integers a, b, x and y (1 ≤ a, b ≤ 10^4; 0 ≤ x < a; 0 ≤ y < b) — the resolution of the screen and the coordinates of a dead pixel. It is guaranteed that a+b>2 (e.g. a=b=1 is impossible).

Output

Print t integers — the answers for each test case. Each answer should contain an integer equal to the maximal possible area (in pixels) of a rectangular window, that doesn't contain the dead pixel.

Example

Input


6
8 8 0 0
1 10 0 3
17 31 10 4
2 1 0 0
5 10 3 9
10 10 4 8


Output


56
6
442
1
45
80

Note

In the first test case, the screen resolution is 8 × 8, and the upper left pixel is a dead pixel. Here you can see one of two possible layouts of the maximal window.

<image>
//package cf;
import java.io.*;
import java.util.*;

public class T_class {
    static int m=2147483647;///this is 2^32 -1 (is prime number) and should be used for hashing
    static int p=1000000007;
    static int max=(int)2e3+10;
    static boolean prime[]=new boolean[max+5];
    static  int dp[][]=new int[(int)max][max];
    static  List<Integer> total_prime=new ArrayList<>();

    public static void main(String[] args) throws Exception {
        BufferedWriter out = new BufferedWriter(new OutputStreamWriter(new FileOutputStream(FileDescriptor.out), "ASCII"), 512);
        FastReader sc=new FastReader();
        int t=sc.nextInt();
        StringBuilder sb2=new StringBuilder();

        while(t-- >0) {
            int a=sc.nextInt();
            int b=sc.nextInt();
            int x=sc.nextInt()+1;
            int y=sc.nextInt()+1;
            int ans=Math.max(Math.max((x-1)*(b),(a-x)*(b)),Math.max((y-1)*(a),(b-y)*(a)));
            sb2.append(ans+"\n");
        }
        System.out.println(sb2.toString());
        out.flush();
    }
    public static long gethash(long pow[], long hash[], int l, int r) {

        return (hash[r+1] - (hash[l ] * pow[r - l +1]) % m + m) % m;
    }
    private static String long_pre(char[] ch) {
        int n=ch.length;
        char cpy[]=new char[n];
        for(int i=n-1;i>=0;i--)
        {
            cpy[n-1-i]=ch[i];
        }
        long pow[] = new long[n + 1];
        long hash[] = new long[n + 1];
        pow[0] = 1;
        int p = 31;
        for (int i = 1; i <= n; i++) {
            pow[i] = (pow[i - 1] % m * p % m) % m;
        }

        for (int i = 1; i <= n; i++) {
            hash[i] = (hash[i - 1] * p % m + (ch[i - 1]) % m) % m;
        }

        long pow1[] = new long[n + 1];
        long hash1[] = new long[n + 1];
        pow1[0] = 1;
        //int p = 31;
        for (int i = 1; i <= n; i++) {
            pow1[i] = (pow1[i - 1] % m * p % m) % m;
        }

        for (int i = 1; i <= n; i++) {
            hash1[i] = (hash1[i - 1] * p % m + (cpy[i - 1]) % m) % m;
        }


        int l=0,r=n-1,lst=0;
        for(int i=n-1;i>=1;i--)
        {
        int mid=i%2;
        int midp=i/2;
        if(mid==0&&gethash(pow,hash,0,midp-1)==gethash(pow1,hash1,n-1-i,n-1-(midp+1)))
        {
            lst=i;
            break;
        }
        else if(mid==1&&gethash(pow,hash,0,midp)==gethash(pow1,hash1,n-1-i,n-1-(midp+1)))
        {
            lst=i;
            break;
        }
        }
        StringBuilder sb=new StringBuilder();
        for(int i=0;i<=lst;i++)
        {
            sb.append(ch[i]);
        }
        return sb.toString();
    }

    private static int Solve(int n, int l, int r,int h, int i, int s, int[] ar) {
        if(i==n)
            return 0;
        if(dp[i][s]!=-1)
            return dp[i][s];

        int ans=Math.max(con((s+ar[i])%h,l,r)+Solve(n,l,r, h,i+1,(s+ar[i])%h,ar)
                ,con((s+ar[i]-1)%h,l,r)+Solve(n,l,r,h,i+1,(s+ar[i]-1+h)%h,ar));
        dp[i][s]=ans;
        return dp[i][s];
    }

    private static int con(int i,int l,int r) {
        if(l<=i&&i<=r)
            return 1;
        else
            return 0;
    }

    static  long childs[]=new long[max];
    static long tot=0;
    public static void dfs_val(List<Integer> adj[],int u,int p,long val) {
        int in_max=-1;
        val=val+childs[u]+1;
        for(int v:adj[u])
        {
            if(v!=p)
            {
                in_max=v;
                dfs_val(adj,v,p,val);
            }
        }
        if(in_max==-1)
        {
            tot=Math.max(tot,val);
        }
    }
    public static void dfs(List<Integer> adj[],int u,int p)
    {

        for(int v:adj[u])
        {
            if(v!=p)
            {
                childs[u]++;
                dfs(adj,v,u);
                childs[u]+=childs[v];
            }
        }
    }
    public static int ans(int ar[],int i,int n,int t)
    {
        if(i>=n)
            return 0;
        if(t>=410)
            return 200000;
        if(dp[i][t]!=-1)
            return dp[i][t];
        //System.out.println(t+" "+i);
        int cur=Math.min(Math.abs(ar[i]-t)+ans(ar,i+1,n,t+1),ans(ar,i,n,t+1));
        dp[i][t]=cur;
        return dp[i][t];
    }

    private static long ncr(int n, int r, long[] fact) {
        if(r>n||n < 0 || r < 0)
            return 0;

        if(n==1||n==0)
            return 1;
        // System.out.println(n+" c "+r);

        return (((fact[n]*pow_inverse(fact[n-r],p))%p)*pow_inverse(fact[r],p))%p;
    }
    static class BIT {
        long[] tree;
        public BIT(int size) {
            tree = new long[size + 1];
        }
        public long sum(int i) {
            long ans = 0;
            while (i > 0) {
                ans += tree[i];
                i -= i & -i;
            }
            return ans;
        }

        public long query(int i, int j) {
            return sum(j) - sum(i - 1);
        }

        public void add(int i, long val) {
            while (i < tree.length) {
                tree[i] += val;
                i += i & -i;
            }
        }

        public void set(int i, long val) {
            add(i, val - query(i, i));
        }
    }
    static class  vert implements Comparator<vert>
    {
        int v;
        TreeSet<Integer> set;

        public vert(int v, TreeSet<Integer> set) {
            this.v = v;
            this.set = set;
        }

        @Override
        public int compare(vert o1, vert o2) {
            return -(o1.set.size()-o2.set.size());
        }
    }
    public static long pow(long a,long b,long m)
    {
        long r=1;
        while(b!=1)
        {
            if(b%2!=0)
                r=(r*a)%m;
            b=b>>1;
            a=(a*a)%m;
        }
        return (r*a)%m;
    }
    public static long pow_inverse(long a,long m)
    {
        return pow(a,m-2,m);
    }public static long gcd(long a,long b)
    {
        if(b>a)
        {
            a=a^b;
            b=a^b;
            a=a^b;
        }
        if(b==0)
            return a;
        return gcd(b,a%b);
    }
    public static void extgcd(long a,long b)
    {/*
            if(a==0)
            {
                x=0;
                y=1;
                d=b;
                // return ;
            }
            else
            {

                extgcd(b%a,a);

                long t=y;
                y=x;
                x=t-(b/a)*x;
            }*/
    }

    public static void seive()
    {
        for(int i=0;i<max;i++)
            prime[i] = true;

        for(int p = 2; p*p <=max; p++)
        {
            // If prime[p] is not changed, then it is a prime
            if(prime[p] == true)
            {
                // Update all multiples of p
                for(int i = p*p; i <=max; i += p)
                    prime[i] = false;
            }
        }

        // Print all prime numbers
        for(int i = 2; i <= max; i++)
        {
            if(prime[i] == true)
            {
                total_prime.add(i);
            }
        }
    }
    public static boolean union(int a, int b, int p[], int r[]){
        // add your code here
        int pa=find(a,p,r);
        int pb=find(b,p,r);
        if(pa==pb)
            return true;
        if(pa!=pb)
        {
            if(r[pa]<r[pb])
            {
                p[pa]=pb;
            }
            else if(r[pa]>r[pb])
            {
                p[pb]=pa;
            }
            else
            {
                p[pa]=pb;
                r[pb]++;
            }
        }
        return false;
    }
    public static int find(int x,int p[],int r[])
    {
        if(p[x]==x)
            return x;
        p[x]=find(p[x],p,r);
        return p[x];
    }
    public static int binary_Search_upper(Integer[] ar, Integer x,int l,int r)
    {
        int res=-1,f=0;
        while(l<=r)
        {
            int mid=(l+r)>>1;
            if(ar[mid]==x)
            {
                f=1;
                res=mid;
                l=mid+1;
            }
            else if(ar[mid]>x)
            {
                res=res!=-1&&ar[res]==x?res:mid;
                r=mid-1;
            }
            else
            {
                l=mid+1;
            }
        }
        return f==1?res:res+1;
    }
    public static int binary_Search_lower(int[] ar, long x, int l, int r)
    {
        int res=0,f=0;
        //int l=0;int r=ar.length-1;
        /*public static int binary(Long[] ar, int l, int r, long v)
        {
            int n=r;
            int m=(l+r)/2;
            int re=-1;
            while(l<=r)
            {
                if(ar[m]>=v)
                {

                    re=m;
                    r=m-1;
                }
                else if(ar[m]<v)
                {
                    l=m+1;
                }
                m=(l+r)/2;
            }
            if(l<=n&&ar[l]==v)
                return l;
            return re;
        }*/
        //   System.out.println(Arrays.toString(ar)+" "+x);
        while(l<=r)
        {
            int mid=(l+r)>>1;
            //   System.out.println(l+" "+r+" "+mid+" = "+ar[mid]);
            if(ar[mid]==x)
            {
                f=1;
                res=mid;
                r=mid-1;
            }
            else if(ar[mid]>x)
            {
                r=mid-1;
            }
            else
            {
                res=res!=0&&ar[res]==x?res:mid;
                l=mid+1;
            }
        }

        //  System.out.println(res);
        return f==1?res:res+1;
    } public static int binary_Search_lower_suf(int[] ar, int x,int l,int r)
    {
        int res=-1,f=0;
        //int l=0;int r=ar.length-1;
        while(l<=r)
        {
            int mid=(l+r)>>1;
            if(ar[mid]==x)
            {
                f=1;
                res=mid;
                r=mid-1;
            }
            else if(ar[mid]<x)
            {
                r=mid-1;
            }
            else
            {
                //      res=mid;
                l=mid+1;
            }
        }
        return f==0?res+1:res;
    }
    int bit[]=new int[(int)1e6];
    public void update(int n,int val,int i)
    {
        i++;
        while(i<n)
        {
            bit[i]+=val;
            i+=(i)&(-i);
        }

    }
    public long query(int n,int i)
    {
        i++;
        long sum=0;
        while(i>0)
        {
            sum+=bit[i];
            i-=(i)&(-i);
        }
        return sum;
    }


    ///////////////////////////////////////////////////////////////////////////////////
    //////////////////////////////////////////////////////////////////////////////////////////////
    static class FastReader {

        BufferedReader br;
        StringTokenizer st;

        public FastReader() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

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

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

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }


}