A positive interger $n$ is called rising if its decimal representation $a_ka_{k-1}\cdots a_0$ satisfies the condition $a_k\le a_{k-1}\le\cdots \le a_0$. Polynomial $P$ with real coefficents is called interger-valued if for all integer numbers $n$, $P(n)$ takes interger values. $P(n)$ is called rising-valued if for all rising numbers $n$, $P(n)$ takes integer values. Does it necessarily mean that, "every rising-valued $P$ is also interger-valued $P$"?