atcoder#AGC004A. [AGC004A] Divide a Cuboid

[AGC004A] Divide a Cuboid

Score : 200200 points

Problem Statement

We have a rectangular parallelepiped of size A×B×CA \times B \times C, built with blocks of size 1×1×11 \times 1 \times 1. Snuke will paint each of the A×B×CA \times B \times C blocks either red or blue, so that:

  • There is at least one red block and at least one blue block.
  • The union of all red blocks forms a rectangular parallelepiped.
  • The union of all blue blocks forms a rectangular parallelepiped.

Snuke wants to minimize the difference between the number of red blocks and the number of blue blocks. Find the minimum possible difference.

Constraints

  • 2A,B,C1092 \leq A,B,C \leq 10^9

Input

The input is given from Standard Input in the following format:

AA BB CC

Output

Print the minimum possible difference between the number of red blocks and the number of blue blocks.

3 3 3
9

For example, Snuke can paint the blocks as shown in the diagram below. There are 99 red blocks and 1818 blue blocks, thus the difference is 99.

2 2 4
0

For example, Snuke can paint the blocks as shown in the diagram below. There are 88 red blocks and 88 blue blocks, thus the difference is 00.

5 3 5
15

For example, Snuke can paint the blocks as shown in the diagram below. There are 4545 red blocks and 3030 blue blocks, thus the difference is 99.