Falfa with Substring
时间限制:C/C++/Rust/Pascal 2秒,其他语言4秒
空间限制:C/C++/Rust/Pascal 256 M,其他语言512 M
64bit IO Format: %lld

题目描述

Falfa defines the bit-value of a string S as the time that string "bit" occurs in the string S and defines  the number of n-length-lowercase-letter-string whose bit-value is k.

Falfa gives you an integer n, and she wants to know the value of .

Note that the answer may be very big, so you should output the answer modulo 998244353.

输入描述:

The first line contains a single integer n().

输出描述:

Output  integers in a single line, separated by space.
示例1

输入

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3

输出

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17575 1 0 0