## Goal

The goal is to predict the position of two balls after stopping (at the beginning: one is moving, the other is immobile).

- The radius of the balls is **30.75mm**

- We consider there is **no borders**.

- Any collision is perfectly elastic.

- The formula of the acceleration induced by the frictions is: **a_d(t) = -0.8*v(t)**

With **v(t)** the speed of the ball (in meters per second) and **t** the time (in seconds)
Input

**Line 1:** Two real numbers `x0` and `y0` (separated by a space), the position of the moving ball (in meters).

**Line 2:** Two real numbers `x1` and `y1` (separated by a space), the position of the static ball (in meters).

**Line 3:** Two real numbers `vx` and `vy` (separated by a space), the components of the velocity (in meters per second).

Output

**Line 1:** `x0_f` and `y0_f` (separated by a space), the components of the position of the moving ball when stopped **rounded to two decimals** (in meters).

**Line 2:** `x1_f` and `y1_f` (separated by a space), the components of the position of the static ball when stopped **rounded to two decimals** (in meters).

Example

Input

1.24 0.34
0.29 1.05
0 0

Output

1.24 0.34
0.29 1.05