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## 1504. Good Manners

Time limit: 1.5 second
Memory limit: 64 MB
Although Vovan is a New Russian, he tries to learn good manners. His new image-maker teaches Vovan that a well-bred person would choose from several cake pieces on a table either the smallest or the nearest one. Vovan wants to appear a well-bred person at his oncoming birthday, but he also wants to get a big piece of cake. Fortunately, as a host, Vovan can himself seat his guests at his big round table. Help Vovan to choose a place at the table such that the piece of cake nearest to him is as big as possible.

### Input

The first line contains two integers that are the radius of the table R in meters and the number K of cake pieces on the table (1 ≤ R ≤ 100, 2 ≤ K ≤ 1000). Each of the next K lines contains three numbers describing a piece of cake: its coordinates in meters and weight in grams (an integer from 1 to 10000). The center of the table is the coordinate origin. All the pieces have distinct coordinates and lie on a table.

### Output

Output the coordinates of a place at the table (a point on the table's circumference) such that in this place Vovan would get the biggest possible piece, at the same time looking as a well-bred person (if there are several pieces nearest to this point, then Vovan can take the biggest of them). Coordinates should be precise up to 7 digits.

### Sample

inputoutput
```10 3
1 -1 100
2 2 200
-2.5 -2.56 1
```
```6 8
```
Problem Author: Stanislav Vasilyev
Problem Source: Quarter-Final of XXXI ACM ICPC - Yekaterinburg - 2006