Point and a rectangle

Determine whether the point (x, y) belongs to a rectangle with the ends of the diagonal (x[1], y[1]), (x[2], y[2]) and the sides parallel to coordinate axes.

Input

Six real numbers x, y, x[1], y[1], x[2], y[2] - the coordinates of the point and the coordinates of diagonal ends of rectangle respectively. The numbers ​​do not exceed 100 by absolute value.

Output

Print 1 if the point belongs to a rectangle (including the border), and 0 otherwise.

Examples