@mod = (1e9+7).to_i # # 数列aを数列x,数列yに分割. # a_1 , a_2 , a_3 , a_4 , a_5 , a_6 ... # x_1 , y_1 , x_2 , y_2 , x_3 , y_3 ... # # 整理するとこんな感じ # x_p = (y_1 + y_2 + ... + y_{p-1}) (2p-1) # y_q = (x_1 + x_2 + ... + x_{q-1}) (2q) # # あとは,x_1=1,y_1=2で初期化し,4変数によるdpで回す. # 計算量はO(N) def solve(n) x = 1 y = 2 xs = x ys = y 3.upto(n){|i| if i.odd? x = (ys*i) %@mod xs = (xs + x) %@mod else y = (xs*i) %@mod ys = (ys + y) %@mod end } return n.odd? ? x : y end n = gets.chomp!.to_i abort unless !gets abort unless 1 <= n && n <= 100000 p solve(n)