408157: GYM103029 D John and pizza

Katya went home( John was very tired and hungry. He took a frozen pizza from a fridge to cook pizza by himself.

John is a very smart boy, he knows that if you cut the pizza into triangles, then more pizza will fit into the oven. John has endless supplies of hexagonal pizzas, each of these pizzas John cut into $$$6$$$ equilateral triangles with side $$$1$$$.

John has an oven of size $$$n * m$$$ in his flat. John's task is to place as many pieces of pizza in the oven as possible with only one condition. John likes when the pizza slices lie in the oven beautifully, so the boy needs to choose the side of the oven, and arrange all the pizza slices so that one side of each pizza slice is parallel to the selected side of the oven.

Help him find out how many pieces of pizza (equilateral triangles with side $$$1$$$) John can put in the oven.

You get two numbers $$$n, m$$$ ($$$1 \le n, m \le 10^{5}$$$)

Just find the answer)

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