Insulator

Memory limit: 32 MB

The company Insumax produces multilayer thermal insulators. Each of the layers, , of such an insulator is characterized by positive insulation coefficient . The layers are numbered according to the direction the heat leaks.

heat

The insulation coefficient of the whole insulator, , is described by the sum of insulation coefficients of its layers. Moreover, the coefficient raises if a layer with a smaller insulation coefficient is followed by a layer with a larger coefficient, according to the formula:

.

For example, the insulation coefficient of the insulator of the form

is .

Task

Write a program which, for given insulation coefficients of layers determines such an ordering of the layers that the insulation coefficient of the whole insulator is maximised.

Input

In the first line of the standard input there is the number of layers , . In the successive lines there are coefficients , one per line. Those coefficients are integers satisfying the inequalities .

Output

In the first and only line of the standard output your program should write one integer equal to the largest possible value of the insulation coefficient of the insulator built of the layers of the given coefficients, put in a particular order.

Example

For the input data:

4
5
4
1
7

the correct result is:

24

Task author: Zbigniew Czech.