Q=[1,32,316,2292,14422,84744,479004,2638328,14258574,75940592,399782668,84795558] M=10**9+7 def mul(a,b) r=a.size.times.map{[0]*b[0].size} a.size.times{|y| b[0].size.times{|x| r[y][x]=b.size.times.reduce(0){|s,i|(s+a[y][i]*b[i][x])%M} } } r end k=gets.to_i if k0 e=mul(e,a) if k%2>0 a=mul(a,a) k/=2 end p mul(e,[Q.reverse].transpose)[0][0]