시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 256 MB96265660454459.695%

문제

남규는 통나무를 세워 놓고 건너뛰기를 좋아한다. 그래서 N개의 통나무를 원형으로 세워 놓고 뛰어놀려고 한다. 남규는 원형으로 인접한 옆 통나무로 건너뛰는데, 이때 각 인접한 통나무의 높이 차가 최소가 되게 하려 한다.

통나무 건너뛰기의 난이도는 인접한 두 통나무 간의 높이의 차의 최댓값으로 결정된다. 높이가 {2, 4, 5, 7, 9}인 통나무들을 세우려 한다고 가정하자. 이를 [2, 9, 7, 4, 5]의 순서로 세웠다면, 가장 첫 통나무와 가장 마지막 통나무 역시 인접해 있다. 즉, 높이가 2인 것과 높이가 5인 것도 서로 인접해 있다. 배열 [2, 9, 7, 4, 5]의 난이도는 |2-9| = 7이다. 우리는 더 나은 배열 [2, 5, 9, 7, 4]를 만들 수 있으며 이 배열의 난이도는 |5-9| = 4이다. 이 배열보다 난이도가 낮은 배열은 만들 수 없으므로 이 배열이 남규가 찾는 답이 된다.

입력

입력은 T개의 테스트 케이스로 이루어져 있다. 첫 줄에 T가 주어진다.

이어지는 각 줄마다 첫 줄에 통나무의 개수를 나타내는 정수 N(5 ≤ N ≤ 10,000), 둘째 줄에 각 통나무의 높이를 나타내는 정수 Li가 주어진다. (1 ≤ Li ≤ 100,000)

출력

각 테스트 케이스마다 한 줄에 주어진 통나무들로 만들 수 있는 최소 난이도를 출력하시오.

예제 입력 1

3
7
13 10 12 11 10 11 12
5
2 4 5 7 9
8
6 6 6 6 6 6 6 6

예제 출력 1

1
4
0
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ZW4gNSBsb2dzIHdpdGggdGhlIGhlaWdodHMgezIsIDQsIDUsIDcsIDl9LiBOb3RlIHRoYXQgdGhlIGxhc3QgbG9nIHdpdGggaGVpZ2h0IDUgaXMgaW1tZWRpYXRlIGFkamFjZW50IHRvIHRoZSBmaXJzdCBsb2cgd2l0aCBoZWlnaHQgMiBpbiB0aGUgYXJyYW5nZW1lbnQgWzIsIDksIDcsIDQsIDVdLiBUaGUgbWF4aW11bSBoZWlnaHQgZGlmZmVyZW5jZSBvZiB0aGUgYXJyYW5nZW1lbnQgWzIsIDksIDcsIDQsIDVdIGlzIHwyICZuZGFzaDsgOXwgPSA3LiBXZSBjYW4gbWFrZSBhIGJldHRlciBhcnJhbmdlbWVudCBhcyBbMiwgNSwgOSwgNywgNF0gd2hlcmUgdGhlIG1heGltdW0gaGVpZ2h0IGRpZmZlcmVuY2UgaXMgfDUgJm5kYXNoOyA5fCA9IDQuIFRoaXMgYXJyYW5nZW1lbnQgWzIsIDUsIDksIDcsIDRdIGlzIG9wdGltYWwgc2luY2UgdGhlcmUgaXMgbm8gYXJyYW5nZW1lbnQgd2l0aCB0aGUgbWF4aW11bSBoZWlnaHQgZGlmZmVyZW5jZSBsZXNzIHRoYW4gNC48XC9wPlxyXG4iLCJpbnB1dCI6IjxwPllvdXIgcHJvZ3JhbSBpcyB0byByZWFkIGZyb20gc3RhbmRhcmQgaW5wdXQuIFRoZSBpbnB1dCBjb25zaXN0cyBvZiBUIHRlc3QgY2FzZXMuIFRoZSBudW1iZXIgb2YgdGVzdCBjYXNlcyBUIGlzIGdpdmVuIGluIHRoZSBmaXJzdCBsaW5lIG9mIHRoZSBpbnB1dC4gRWFjaCB0ZXN0IGNhc2Ugc3RhcnRzIHdpdGggYSBsaW5lIGNvbnRhaW5pbmcgYW4gaW50ZWdlciwgTiAoNSAmbGU7IE4gJmxlOyAxMCwwMDApLCB3aGVyZSBOIGlzIHRoZSBudW1iZXIgb2YgbG9ncy4gSW4gdGhlIG5leHQgbGluZSwgdGhlIGhlaWdodHMgb2YgTiBsb2dzLCBMPHN1Yj5pPFwvc3ViPiBhcmUgZ2l2ZW4gYXMgYSBzZXF1ZW5jZSBvZiBpbnRlZ2Vycy4gKDEgJmxlOyBMPHN1Yj5pPFwvc3ViPiAmbGU7IDEwMCwwMDApPFwvcD5cclxuIiwib3V0cHV0IjoiPHA+WW91ciBwcm9ncmFtIGlzIHRvIHdyaXRlIHRvIHN0YW5kYXJkIG91dHB1dC4gUHJpbnQgZXhhY3RseSBvbmUgbGluZSBmb3IgZWFjaCB0ZXN0IGNhc2UuIFRoZSBsaW5lIHNob3VsZCBjb250YWluIGFuIGludGVnZXIgcmVwcmVzZW50aW5nIHRoZSBtYXhpbXVtIGhlaWdodCBkaWZmZXJlbmNlIG9mIGFuIG9wdGltYWwgbG9nIGFycmFuZ2VtZW50LiBUaGUgZm9sbG93aW5nIHNob3dzIHNhbXBsZSBpbnB1dCBhbmQgb3V0cHV0IGZvciB0aHJlZSB0ZXN0IGNhc2VzLjxcL3A+XHJcbiIsImhpbnQiOiIiLCJvcmlnaW5hbCI6IjEiLCJodG1sX3RpdGxlIjoiMCIsInByb2JsZW1fbGFuZ190Y29kZSI6IkVuZ2xpc2gifV0=

출처

ICPC > Regionals > Asia Pacific > Korea > Asia Regional - Daejeon 2015 E번

  • 문제를 번역한 사람: kks227
  • 문제의 오타를 찾은 사람: ntopia