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Do note that this website only supports submissions in C++.

## Problem Description

Unknown to us ignorant humans, potatoes have learnt how to access the internet! In fact, they have even built major civilisations in desolate places of Africa with dozens and dozens of potatoes growing there. In every such potato civilisation, there will be *N* potatoes living in the PotatoTown.

In order to allow some of the potatoes to access the internet, there will be a WiFi hotspot in the top-left corner of the city, which is at coordinate (0, 0). This WiFi hotspot has a range of *R* units. You will be provided with a set of coordinates describing where the *N* potatoes are growing. Calculate the number of potatoes that can access the internet from the WiFi hotspot.

## Input

The first line of input will contain two integers, *N* and *R*.

The next *N* lines of input will contain two integers each, describing the x and y coordinate of one of the potatoes.

## Output

Your output should contain one integer, the number of potatoes that can access the internet.

Your output should terminate with a newline.

## Limits

Subtask 1 (35%): 1 <= N, X_{i}, Y_{i} <= 1 000

Subtask 2 (65%): 1 <= N, X_{i}, Y_{i} <= 1 000 000

## Sample Input 1

3 5 1 1 2 2 5 5

## Sample Output 1

2

## Sample Input 2

2 1 5 5 6 6

## Sample Output 2

0

### Tags

### Subtasks and Limits

Subtask | Score | #TC | Time | Memory | Scoring |
---|---|---|---|---|---|

1 | 35 | 10 | 1s | 64MB | Minimum |

2 | 65 | 10 | 3s | 64MB | Minimum |

3 | 0 | 1 | 1s | 64MB | Minimum |

### Judge Compile Command

g++-8 ans.cpp -o wificonnection -Wall -Wshadow -static -O2 -lm -m64 -s -w -std=gnu++17 -fmax-errors=512