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6140번 - Radar Installation 다국어

시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB8923823.529%

문제

Assume the coasting is an infinite straight line. Land is in one side of coasting, sea in the other. Each small island is a point locating in the sea side. And any radar installation, locating on the coasting, can only cover d distance, so an island in the sea can be covered by a radius installation, if the distance between them is at most d.

We use Cartesian coordinate system, defining the coasting is the x-axis. The sea side is above x-axis, and the land side below. Given the position of each island in the sea, and given the distance of the coverage of the radar installation, your task is to write a program to find the minimal number of radar installations to cover all the islands. Note that the position of an island is represented by its x-y coordinates.

Figure A Sample Input of Radar Installations

입력

The input consists of several test cases. The first line of each case contains two integers n (1<=n<=1000) and d, where n is the number of islands in the sea and d is the distance of coverage of the radar installation. This is followed by n lines each containing two integers representing the coordinate of the position of each island. Then a blank line follows to separate the cases.

The input is terminated by a line containing pair of zeros

출력

For each test case output one line consisting of the test case number followed by the minimal number of radar installations needed. "-1" installation means no solution for that case.

제한

예제 입력 1

3 2
1 2
-3 1
2 1
1 2
0 2
0 0

예제 출력 1

Case 1: 2
Case 2: 1

힌트

출처

ICPC > Regionals > Asia East Continent > China > Beijing > Beijing Regional Contest 2002 G번

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