Okay, with the Maximum Recovery rate of 5% an hour - you can make 5 moves per day.

Following the 'White Dot' route ~ it is longer in terms of squares you must move BUT has the added benefit of picking up more treats (which give you 3 free moves each when found in the Maze)

In this image;

The Black Dots are moves made with Energy
The Green Dots are moves made by using Treats
The White Dots are the path through the maze
The Black Numbers signify where you should be at the end of the day (so for example - how on space R3 is the number 1...that means you should be at space R3 at the end of day 1)
*apologies to those who may be color-blind, I needed to use colors that I could easily see and Green and Black were it

Note - moving back to another space DOES take energy/a treat. This is why some spaces have more than one dot, to show that you need to return to that space and for a better count.

73 Moves made with Energy (73 / 5 = 15 (14.6 to be technical)
111 Moves made with Treats (37 x 3 = 111)
Total move count: 184

Total moves needed to reach Lovely Blue following a direct route: 231

the difference between the two: 47 moves

Now - Treats can be found on Level 3 of the Titan's Challenge. You will find between 6 to 10 treats on this level (so between 6 to 10 extra moves).

The Titan's Challenge sells for 2 passes each in the Black Market - so if you are lucky enough to make it to level 3 (as there is a chance you might fail) - you'll need any combination that will equal 47.

The ideal combination *that is, the one that will cost you the least amount of Passes* would be winning 10 treats 4 times, and 7 treats or higher once - for a total of 10 Passes (5 Titan's Challenges at 2 passes each)

The worst combination *that being the one that will cost you the most passes* would be winning the minimum of 6 treats each use. To reach the target amount of 47 ~ you need to use 8 Titan's Challenges (6 x 8 = 48) for a total of 16 passes.

In short - in order to complete this promotion By My Calculations - one would need a minimum of 10 passes.

Again though, these are just My Calculations ~ someone else might come up with different numbers than myself (I am in no way a Math Whiz -and this was done early in the morning for me so there may also be a factor of human error). Also, keep in mind that we do not know the exact lenght of time this promotion is running for. The actual amount could be higher or lower (as I've even heard one report of this being possible to do without needing to use anything but provided moves *unvalidated claim*)

First off the total is a little off, the total should be the total amounts of move it takes to complete whichever path you take and that means you need to take into account all the sides and double spaces from grab in the treats, not just the direct path without counting those in. That brings the total up quite a bit from 231. When I counted all her dots it was around 273. It's easy to loose count while counting all the little dots. 111 green dots 172 black dots. 172 moves you need to make up if 15 x 5 moves a day = 75 leaves 98 moves to make up.

The percherons are supposed to be introduced through the maze. There's been several maps posted in here for the maze, look for one with a path that grabs all the goodies and that'll be your best shot at getting them. I don't believe how the shires are going to be released is known yet, and in fact the shires are not official yet but very likely.