At a geometry lesson Gerald was given a task: to get vector B out of vector A. Besides, the teacher permitted him to perform the following operations with vector А:

  * Turn the vector by 90 degrees clockwise.
  * Add to the vector a certain vector C.



Operations could be performed in any order any number of times.

Can Gerald cope with the task?

Input

The first line contains integers x1 и y1 — the coordinates of the vector A ( - 108 ≤ x1, y1 ≤ 108). The second and the third line contain in the similar manner vectors B and C (their coordinates are integers; their absolute value does not exceed 108).

Output

Print "YES" (without the quotes) if it is possible to get vector B using the given operations. Otherwise print "NO" (without the quotes).

Examples

Input

0 0
1 1
0 1


Output

YES


Input

0 0
1 1
1 1


Output

YES


Input

0 0
1 1
2 2


Output

NO
import java.awt.geom.*;
import java.io.*;
import java.math.*;
import java.util.*;
import java.util.regex.*;
import static java.lang.Math.*;
public class C {

    public static long cross(long x1, long y1, long x2, long y2) {
        return x1*y2-y1*x2;
    }

    long x1, y1;
    long x3, y3;
    long d3p;
    long x4, y4;

    boolean test(long x2, long y2) {
        if (d3p==0) return x1==x2&&y1==y2;
        return cross(x3,y3,x2-x1,y2-y1)%d3p==0 
            && cross(y3,-x3,x2-x1,y2-y1)%d3p==0;
    }
    
    public C() throws Exception {
        x1 = in.nextInt();
        y1 = in.nextInt();
        long x2 = in.nextInt();
        long y2 = in.nextInt();
        x3 = in.nextInt();
        y3 = in.nextInt();
        d3p = x3*x3+y3*y3;

        boolean b = false;
        if (!b) b = test(x2,y2);
        if (!b) b = test(y2,-x2);
        if (!b) b = test(-x2,-y2);
        if (!b) b = test(-y2,x2);

        if (b)
            buf.append("YES\n");
        else
            buf.append("NO\n");
        System.out.print(buf);
    }

    Scanner in = new Scanner(System.in);
    StringBuilder buf = new StringBuilder();
    public static void main(String[] args) throws Exception { // {{{
        new C();
    } // }}}
    public static void debug(Object... arr) { // {{{
        System.err.println(Arrays.deepToString(arr));
    } // }}}
}
