Problem Statement

Takahashi, who lives on the number line, is now at coordinate $X$. He will make exactly $K$ moves of distance $D$ in the positive or negative direction.

More specifically, in one move, he can go from coordinate $x$ to $x + D$ or $x - D$.

He wants to make $K$ moves so that the absolute value of the coordinate of the destination will be the smallest possible.

Find the minimum possible absolute value of the coordinate of the destination.

Constraints

• $\-10^{15} \\leq X \\leq 10^{15}$
• $1 \\leq K \\leq 10^{15}$
• $1 \\leq D \\leq 10^{15}$
• All values in input are integers.

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Input

Input is given from Standard Input in the following format:

$X$ $K$ $D$

Output

Print the minimum possible absolute value of the coordinate of the destination.

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Sample Input 1

6 2 4

Sample Output 1

2

Takahashi is now at coordinate $6$. It is optimal to make the following moves:

• Move from coordinate $6$ to ($6 - 4 =$) $2$.
• Move from coordinate $2$ to ($2 - 4 =$) $\-2$.

Here, the absolute value of the coordinate of the destination is $2$, and we cannot make it smaller.

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Sample Input 2

7 4 3

Sample Output 2

1

Takahashi is now at coordinate $7$. It is optimal to make, for example, the following moves:

• Move from coordinate $7$ to $4$.
• Move from coordinate $4$ to $7$.
• Move from coordinate $7$ to $4$.
• Move from coordinate $4$ to $1$.

Here, the absolute value of the coordinate of the destination is $1$, and we cannot make it smaller.

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Sample Input 3

10 1 2

Sample Output 3

8

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Sample Input 4

1000000000000000 1000000000000000 1000000000000000

Sample Output 4

1000000000000000

The answer can be enormous.