13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T59a,

Let's call a fraction $$$\frac{x}{y}$$$ good if there exists at least one another fraction $$$\frac{x'}{y'}$$$ such that $$$\frac{x}{y} = \frac{x'}{y'}$$$, $$$1 \le x', y' \le 9$$$, the digit denoting $$$x'$$$ is contained in the decimal representation of $$$x$$$, and the digit denoting $$$y'$$$ is contained in the decimal representation of $$$y$$$. For example, $$$\frac{26}{13}$$$ is a good fraction, because $$$\frac{26}{13} = \frac{2}{1}$$$.

You are given an integer number $$$n$$$. Please calculate the number of good fractions $$$\frac{x}{y}$$$ such that $$$1 \le x \le n$$$ and $$$1 \le y \le n$$$. The answer may be really large, so print it modulo $$$998244353$$$.

Input

The only line of the input contains one integer $$$n$$$ ($$$1 \le n \lt 10^{100}$$$).

Output

Print the number of good fractions $$$\frac{x}{y}$$$ such that $$$1 \le x \le n$$$ and $$$1 \le y \le n$$$. The answer may be really large

Another Meme Problem

Examples