You are given a list of \(n\) integers \(a_1, a_2, \dots, a_n\). You need to pick \(8\) elements from the list and use them as coordinates of four points. These four points should be corners of a rectangle which has its sides parallel to the coordinate axes. Your task is to pick coordinates in such a way that the resulting rectangle has the maximum possible area. The rectangle can be degenerate, i. e. its area can be \(0\). Each integer can be used as many times as it occurs in the list (or less).
Output
For each test case, print the answer as follows:
- if it is impossible to construct a rectangle which meets the constraints from the statement, print a single line containing the word NO (case-insensitive);
- otherwise, in the first line, print YES (case-insensitive). In the second line, print \(8\) integers \(x_1, y_1, x_2, y_2, x_3, y_3, x_4, y_4\) — the coordinates of the corners of the rectangle. You can print the corners in any order.
Примеры
| № | Входные данные | Выходные данные |
|
1
|
3
16
-5 1 1 2 2 3 3 4 4 5 5 6 6 7 7 10
8
0 0 -1 2 2 1 1 3
8
0 0 0 0 0 5 0 5
|
YES
1 2 1 7 6 2 6 7
NO
YES
0 0 0 5 0 0 0 5
|