시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 (하단 참고)256 MB94052094109722.397%

문제

n개의 도시를 가진 나라가 있다. 이 나라에서는 도시들 중 가장 먼 두 도시 사이에 직행 고속도로를 놓으려 한다.

고속도로는 시작점과 끝점이 아닌 다른 나라를 통과해도 된다. 즉, n개의 도시 중 유클리드 거리가 가장 먼 두 도시를 찾으려 한다. 모든 도시는 한 평면 위에 있다.

위의 예제에서는 (12,0)의 도시와 (-6,3)의 도시가 가장 먼 유클리드 거리를 갖는다.

도시 n개의 좌표가 주어지면 모든 두 도시 쌍의 거리 중 가장 먼 두 도시를 찾아라.

입력

첫째 줄에 테스트 케이스의 수 T가 주어진다. 

각 테스트 케이스의 첫 줄엔 도시의 개수 n이 주어진다. (2 ≤ n ≤ 200,000그 후 n줄에 걸쳐 각 도시의 x좌표와 y좌표가 주어진다. (-10,000,000 ≤ x, y ≤ 10,000,000) x, y는 항상 정수이며, 어떤 두 도시가 같은 점 위에 있는 경우는 없다.

출력

테스트 케이스마다 가장 먼 두 점의 좌표를 출력한다.

만일 그 두 점의 좌표가 각각 (x1, y1), (x2, y2)이라면 x1 y1 x2 y2를 출력하면 된다.

가장 먼 거리를 갖는 두 점의 쌍이 여러 개라면 그 중 아무 것이나 출력해도 상관없다.

예제 입력 1

2
4
-100 -50
20 -50
-20 50
100 50
9
-1 -1
3 -3
6 -6
-3 -6
12 0
3 4
-6 3
0 9
6 9

예제 출력 1

-100 -50 100 50
-6 3 12 0
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dXQiOiI8cD5Zb3VyIHByb2dyYW0gaXMgdG8gcmVhZCBmcm9tIHN0YW5kYXJkIGlucHV0LiBUaGUgaW5wdXQgY29uc2lzdHMgb2YgVCB0ZXN0IGNhc2VzLiBUaGUgbnVtYmVyIG9mIHRlc3QgY2FzZXMgVCBpcyBnaXZlbiBpbiB0aGUgZmlyc3QgbGluZSBvZiB0aGUgaW5wdXQuIEVhY2ggdGVzdCBjYXNlIHN0YXJ0cyB3aXRoIGFuIGludGVnZXIgbiwgdGhlIG51bWJlciBvZiBjaXRpZXMgb2YgdGhlIGNvdW50cnksIHdoZXJlIDIgJmxlOyBuICZsZTsgMjAwLDAwMC4gRWFjaCBvZiB0aGUgZm9sbG93aW5nIG4gbGluZXMgY29udGFpbnMgYSBwYWlyIG9mIGludGVnZXJzIHggYW5kIHksIHJlcHJlc2VudGluZyB0aGUgY29vcmRpbmF0ZSBvZiBhIGNpdHkuIE5vdGUgdGhhdCBhbGwgdGhlIGNvb3JkaW5hdGVzIG9mIHRoZSBjaXRpZXMgYXJlIGRpc3RpbmN0LCBhbmQgLTEwLDAwMCwwMDAgJmxlOyB4LCB5ICZsZTsgMTAsMDAwLDAwMC48XC9wPlxyXG4iLCJvdXRwdXQiOiI8cD5Zb3VyIHByb2dyYW0gaXMgdG8gd3JpdGUgdG8gc3RhbmRhcmQgb3V0cHV0LiBQcmludCBleGFjdGx5IG9uZSBsaW5lIGZvciBlYWNoIHRlc3QgY2FzZS4gVGhlIGxpbmUgc2hvdWxkIGNvbnRhaW4gZm91ciBpbnRlZ2VycyB4MSwgeTEsIHgyLCBhbmQgeTIgdGhhdCByZXByZXNlbnQgdHdvIGNpdHkgY29vcmRpbmF0ZXMgKHgxLCB5MSkgYW5kICh4MiwgeTIpLiBJZiB0aGVyZSBhcmUgbXVsdGlwbGUgc3VjaCB0d28gY2l0aWVzLCBhbnkgb25lIG9mIHRoZW0gd2lsbCBiZSBhY2NlcHRlZC48XC9wPlxyXG4iLCJoaW50IjoiIiwib3JpZ2luYWwiOiIxIiwiaHRtbF90aXRsZSI6IjAiLCJwcm9ibGVtX2xhbmdfdGNvZGUiOiJFbmdsaXNoIn1d

출처

ICPC > Regionals > Asia Pacific > Korea > Nationwide Internet Competition > Daejeon Nationalwide Internet Competition 2014 E번

시간 제한

  • Python 3: 15 초
  • PyPy3: 15 초
  • Python 2: 15 초
  • PyPy2: 15 초