Suppose a polynomial $p(x)$ such that it has a the following properties:

- Leaves a remainder $a$ on division by $(x-a)$,

- Leaves a remainder $b$ on division by $(x-b)$,

- Leaves a remainder $c$ on division by $(x-c)$.

Find the remainder when $p(x)$ is divided by $(x-a)(x-b)(x-c)$.

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