The point on the interval

The segment is given by the coordinates of its endpoints: M(x[1],y[1]) and N(x[2],y[2]). Find the coordinates of O(x,y), which divides it in ratio α.

Input

In a single line the coordinates of segment endpoints and the number α are given. All coordinates do not exceed 100 by the absolute value.

Output

Print in one line the coordinates x and y of the desired point with two digits after the decimal point.

Examples