Yatzee

Yatzee is a game of dice. The purpose of the game is to fill in the 4 columns achieving the highest possible score in each field. These columns are Downwards you have to fill in the fields starting with your score in 1s and ending with your score in Yatzee (descending order). Upwards you have to fill in the fields starting with your score in Yatzee and ending with your score in 1s (ascending order).

Free you do not have to fill the fields in any particular order. Declare: you also fill in the fields in the order you wish, the only restriction being that you have to declare which field you will fill in, after you throw the dice for the first time in your turn. You are not allowed to place the score in any other field. At any point you can fill any empty field in any column, given only the restrictions applying for each column.