$p=1e9+7; sub p{$_[1]?$_[1]&1?$_[0]*p($_[0],$_[1]-1)%$p:($t=p($_[0],$_[1]>>1))*$t%$p:1} sub i{p pop,$p-2} $N=<>; print i(99)*(p(100,$N)-1)%$p,$/,1,'01'x(($N-1)%11), "\n","\n","\n","\n","\n","\n","\n","\n","\n","\n","\n", "\n","\n","\n","\n","\n","\n","\n","\n","\n","\n","\n", "\n","\n","\n","\n","\n","\n","\n","\n","\n","\n","\n"