considers all ways of dividing these 2n focuses into n sets. Among those, he is keen on acceptable pairings, which are characterized as follows: Consider n portions with closes at the focuses in reporter sets. The matching is called acceptable, if for each 2 distinct fragments An and B among those, no less than one of the accompanying holds: One of the portions An and B lies totally inside the other. An and B have a similar length. A will be a decent matching since the red
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Kavi considers all ways of dividing these 2n focuses into n sets. Among those, he is keen on acceptable pairings, which are characterized as follows: Consider n portions with closes at the focuses in reporter sets. The matching is called acceptable, if for each 2 distinct fragments An and B among those, no less than one of the accompanying holds:
One of the portions An and B lies totally inside the other. An and B have a similar length. A will be a decent matching since the red fragment lies totally inside the blue portion.
B is a decent matching since the red and the blue fragment have a similar length. C is certifiably not a decent blending since none of the red or blue sections lies inside the other, neither do they have a similar size.
Kavi is keen on the number of good pairings, so he needs you to discover it for him. As the outcome can be enormous, track down this number modulo 998244353.
Two pairings are called unique, if approximately two focuses are in one sets in some matching and in various sets in another.
Input :The single line of the input contains a solitary integer n (1≤n≤106).
Output :Print the number of good pairings modulo 998244353.
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