You are given a square board, consisting of n rows and n
columns. Each tile init should be colored either white or black.
Let's call some coloring beautiful if each pair of adjacent rows are either the same or
different inevery position. The same condition should be held forthe columns as well.
Let's call some coloring suitable ifitis beautiful and there is no rectangle ofthe
single color, consisting ofat least k tiles.
Your task istocountthenumberof suitable colorings ofthe board ofthegiven size.
Since the answer can be very large, print it modulo 998244353.
Input
A single linecontainstwo integers n and k (1≤n≤500, 1≤k≤n^2) — thenumberof rows and
columns ofthe board andthe maximum numberof tiles inside the rectangle ofthe single
color, respectively.
Output
Print a single integer — thenumberof suitable colorings ofthe board ofthe given size
modulo 998244353.