Nezzar's favorite digit among $1,…,9$ is $d$. He calls a positive integer lucky if $d$ occurs at least once in its decimal representation.
Nezzar has $n$ balls, numbered with integers $1,2,…,n$. Numbers $a_1,a_2,…,a_n$ are written on them, respectively. Numbers on those balls form a non-decreasing sequence, which means that $a_i≤a_{i+1}$ for all $1≤i<n$.
Polycarp remembered the $2020$-th year, and he is happy with the arrival of the new $2021$-th year. To remember such a wonderful moment, Polycarp wants to represent the number $n$ as the sum of a certain number of $2020$ and a certain number of $2021$.
You are given an integer $n$. Check if $n$ has an odd divisor, greater than one (does there exist such a number $x$ ($x>1$) that $n$ is divisible by $x$ and $x$ is odd).
在老电影“007之生死关头”(Live and Let Die)中有一个情节，007被毒贩抓到一个鳄鱼池中心的小岛上，他用了一种极为大胆的方法逃脱 —— 直接踩着池子里一系列鳄鱼的大脑袋跳上岸去！(据说当年替身演员被最后一条鳄鱼咬住了脚，幸好穿的是特别加厚的靴子才逃过一劫。)
There are $n$ digital panels placed in a straight line. Each panel can show any digit from $0$ to $9$. Initially, all panels show $0$.