???GSM Base Station Identification

In the Personal Communication Service systems such as GSM (Global System for Mobile Communications), there are typically a number of base stations spreading around the service area. The base stations are arranged in a cellular structure, as shown in the following figure. In each cell, the base station is located at the center of the cell.

For convenience, each cell is denoted by [$i$, $j$]. The cell covers the origin is denoted by [$0$, $0$]. The cell in the east of [$0$, $0$] is denoted by [$1$, $0$]. The cell in the west of [$0$, $0$] is denoted by [$-1$, $0$]. The cell in the northeast of [$0$, $0$] is denoted by [$0$, $1$]. The cell in the southwest of [$0$, $0$] is denoted by [$0$, $-1$]. This notation can be easily generalized, as shown in the above figure.

Now the question is as follows. We have a service area represented by a Euclidean plane (i.e., $x-y$ plane). Each unit is $1$ Km. For example, point ($5$, $0$) in the plane means the location at a distance of $5$ Km to the east of the origin. We assume that there are totally $400$ cells, denoted by [$i$, $j$], $i=-9...10$, $j=-9...10$. The base station of cell [$0$, $0$] is located at the origin of the Euclidean plane. Each cell has a radius of $R$ = $5$ Km, as shown in the following figure.

You are given an input ($x$, $y$), which indicates a mobile phone’s location. And you need to determine the cell [$i$, $j$] that covers this mobile phone and can serve this phone call.

For example, given a location ($10$, $0$), your program needs to output the cell [$1$, $0$], which can cover this location. Specifically, the input and output are:

• input = ($x$, $y$). hhis is a location on the Euclidean plane. This value will not exceed the service area covered by the $400$ cells. That is, you do not need to handle the exceptional case that the input is out of the boundary of the service area.
• output = [$i$, $j$]. One of the $400$ cells that covers location [$i$, $j$]

Input Format

A list of $10$ locations.

Output Format

A list of $10$ cells covering the above $10$ locations in the correct order.

Please be reminded that there exist a space between coordinates.