Ste94

07-27-2009, 12:08 AM

Can somebody please help me, i found this task on net and i really don't know how to do it. Please HELP!!!!!!

There are N nails on the Z's wooden door. You have to but two rubber bands around the nails, so that all the nails are inside one of the two rubber bands, and the total area inside the two rubber bands is minimized.

INPUT:

From the first line of the standard input read one integer N, 2 <= N <= 1000. From each of the next N lines read two integers x and y representing the x and y coordinate of the corresponding nail. All the coordinates will be between 0 and 1000000.

OUTPUT:

To the standard output write one real number with two decimal point precision, representing the minimal possible area of the two rubber bands such that they cover all the nails.

Input:

6

0 0

0 2

1 1

100 0

100 2

101 1

Output:

2.00

Input:

4

0 0

1 1

100 100

200 200

Output:

0.00

In this case we cover the nails (0,0) and (1,1) with the first rubber band, and (100,100) and (200,200) with the second. Both areas are 0 (since they are lines)

There are N nails on the Z's wooden door. You have to but two rubber bands around the nails, so that all the nails are inside one of the two rubber bands, and the total area inside the two rubber bands is minimized.

INPUT:

From the first line of the standard input read one integer N, 2 <= N <= 1000. From each of the next N lines read two integers x and y representing the x and y coordinate of the corresponding nail. All the coordinates will be between 0 and 1000000.

OUTPUT:

To the standard output write one real number with two decimal point precision, representing the minimal possible area of the two rubber bands such that they cover all the nails.

Input:

6

0 0

0 2

1 1

100 0

100 2

101 1

Output:

2.00

Input:

4

0 0

1 1

100 100

200 200

Output:

0.00

In this case we cover the nails (0,0) and (1,1) with the first rubber band, and (100,100) and (200,200) with the second. Both areas are 0 (since they are lines)