Sphere Pyramid

Input

The first line contains the number $N$ — the number of spheres in the bottom row. The next $N$ lines give the $X$-coordinates of the centers of the spheres in the bottom row (the $Y$-coordinates of all these spheres are $1$). Each coordinate is a real number with exactly $2$ decimal places. The coordinates are given from left to right.

Next, two lines follow: the integer $\mathrm{row}$ is the number of the row containing the target sphere. The rows are numbered from bottom to top, starting with one. The integer $\mathrm{index}$ is the index of the target sphere in its row. The spheres in each row are numbered from left to right, starting with one.

Output

Output two numbers on two lines: the first line is the $X$-coordinate of the center of the target sphere with exactly $3$ decimal places, and the second line is the $Y$-coordinate of the center of the target sphere with exactly $3$ decimal places.

To avoid the case when the required coordinates $x$ and $y$ are rounded in the wrong direction due to calculation errors, all tests satisfy the following condition: the numbers 1000 \cdot x and 1000 \cdot y are at least $0.001$ away from the closest half-integers (i.e. numbers of the form x + 0.5 for an integer $x$).

Constraints

1. 1 \leq N \leq 5.

2. Coordinates of bottom row spheres are real numbers from $0$ to $20$ inclusive, each with exactly $2$ digits after the decimal point. If $A$ and $B$ are two numbers in neighboring positions, then $B$ is between A + 2 and A + 3 inclusive.

3. 1 \leq \mathrm{row} \leq N.

4. 1 \leq \mathrm{index} \leq N - \mathrm{row} + 1.

Esempi