Run id: 8415

------Input------
5
------Answer-----
1 1 1 1 1 1 2 2 2 1 1 2 3 2 1 1 2 2 2 1 1 1 1 1 1
------Your output-----
7597216 0 7593440 0 0 576 1 1 1 1 2432 1 2 2 2 5253216 1 2 3 2 752086672 1 2 2 2