Junyi is a Minecraft home designer, who is widely sought after for his straightforward rectangular designs. To construct a house, he builds a rectangular room with walls and roof. Additionally, to construct all his houses, he uses diamond blocks, which are crafted using diamonds. When Junyi mines, he finds diamonds at a rate of per hour. He only mines for full hours at a time, so he will sometimes return with extra diamonds.

Given the house dimensions a customer gives Junyi, can you calculate how many hours Junyi must mine in order to get enough diamonds to complete the house?

#### Input Specification

The first and only line of input will contain three space-separated integers, , , , representing the length, width and height, respectively, of the house.

#### Output Specification

The minimum integer number of hours Junyi must mine for in order to craft the number of blocks needed to construct his customer's house.

#### Constraints

,

#### Sample Input

`32 20 15`

#### Sample Output

`574`

## Comments