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28703번 - Double It 다국어

시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 1024 MB211163252231.985%

문제

양의 정수로 이루어진 길이가 $N$인 배열 $A_1, \cdots, A_N$이 주어집니다. 당신은 원하는 만큼 다음 조작을 할 수 있습니다.

  • 배열에서 원하는 수 하나를 골라서 2ドル$를 곱합니다.

조작 이후 $A_1, \cdots, A_N$의 최댓값과 최솟값의 차이로 가능한 최솟값을 구하세요.

입력

첫 줄에 배열의 길이 $N$이 주어집니다. $(1 \le N \le 200,000円)$

둘째 줄에 $N$개의 양의 정수 $A_1, A_2, \cdots, A_N$이 주어집니다. $(1 \le A_i \le 10^9)$

출력

조작 이후 $A_1, \cdots, A_N$의 최댓값과 최솟값의 차이로 가능한 최솟값을 구하세요.

제한

예제 입력 1

6
31 41 51 92 65 3

예제 출력 1

40

31ドル$에 2ドル$를 곱해서 62ドル$로, 41ドル$에 2ドル$를 곱해서 82ドル$로, 51ドル$ 에 2ドル$를 곱해서 102ドル$로, 3ドル$에 2ドル$를 5ドル$번 곱해서 96ドル$으로 만들면, $A$의 최댓값 102ドル$와 최솟값 62ドル$의 차이가 40ドル$으로 최소가 됩니다.

힌트

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