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 \(4\) walls and \(1\) roof. Additionally, to construct all his houses, he uses diamond blocks, which are crafted using \(9\) diamonds. When Junyi mines, he finds diamonds at a rate of \(32\) 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?
The first and only line of input will contain three space-separated integers, \(L\), \(W\), \(H\), representing the length, width and height, respectively, of the house.
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.
\(L\), \(W\ (3 \le L, W \le 10^3)\)
\(H\ (2 \le H \le 256)\)
32 20 15