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Artifact: The Dota Card Game Wiki
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=== Deployment rules=== In general, the player must be well aware of all deployment cases on the lane. Slot is a space intended for unit placement no matter if there is a specific unit on that space or not. Speaking of slots arranged against each other on the lane, we mean a pair of slots or box. Where are three main types of boxes which we conditionally call: # '''''blocked''''' # '''''unblocked''''' # '''''empty''''' In the first case another unit should be located opposite the unit in question and in the box both slots are occupied. In the second case, there is free space opposite the unit and in the box one slot in empty. And in third case there are no units located in the box and both slots are empty. Empty box is formed after both units destroy each other in the combat phase and it is removed immediately after that. Deployment slot is a slot in which it is possible to place a unit during the deployment phase. So at the time of the deployment phase there are no empty boxes on the lane. To properly understand the deployment slot, you need to take into account the current lane's box types (or else the lane side occupancy), lane width and its change associated with the deploy of new units on the battlefield. The deployment position of the unit on the lane is determined based on the following: # The total lane width is calculated based on the current lane width before placing the units, as well as count of units deployed from each side on that lane. #:Calculated values ββfor each side of the lane: #::*For the top side, the value of the possible change in the lane width (we call this value ''TS'') is calculated: ( ''the number of units to be deployed on the top side of the lane'' ) + ( ''the current number of units on that side'' ). #::*For a bottom side, a value of the same is calculated (we call it ''BS''): ( ''the number of units to be deployed on the bottom side of the lane'' ) + ( ''the current number of units on the bottom side of the lane'' ). #:The values ββare compared (''TS'' and ''BS'') and the larger of them is taken into account. If this large value is greater than the lane width, then it replaces the value of the lane width, and if not, the lane width remains unchanged. # Units deployed on each side are randomly assigned to deployment slots on this side of the lane. #*If the lane width according to paragraph 1 has not changed, then the available deployment slots are within the indexes that define the lane width. #* If the width of the lane changes, then additional deployment slots are created for placement in an amount equal to the difference between the new and the old lane width. #*:Depending on the number of newly created slots for deployment, determined by a change in the lane width (slots for deployment in the interval of the previous lane width are not considered new for deployment) they can be added both to the left and to the right of the existing units on the lane. Such new deployment slots cause a lane shift in one direction or another. #*::*For example, when increasing the lane width by 2, 3 cases may arise: 2 deployment slots are added to the right of the existing units on the lane and the lane itself is visually shifted to the left by 2, 2 slots are added to the left of the existing units and the lane is shifted to the right by 2, 1 slot is added to the left and one on the right, the parity of the lane does not change and it does not visually shift. #*::*When the lane width increases by 3, 4 cases can occur: adding 3 slots on the right causes a shift of 3 to the left, adding 3 slots on the left will cause a line to shift 3 to the right, adding 1 slot to the left and 2 on the right will shift to the left by 1, adding 1 slot on the right and 2 on the left will cause a right shift of 1. Units can be placed in this case both in the newly added slots for deployment and in the previously available for deployment slots. #*::*In general case, when ''n'' new deployment slots appear, the the total number of divisions to the left and right is equal to ''n'' + ''1'' for (see <i class="mw-customtoggle-multiset" style="color:red"> '''Details''' </i>). Each of these divisions leads to a shift of the lane to one of the sides in ''n'' + ''1'' cases, except for the case when the number of new deployment slots is even (in this case, the number of shifts is ''n'' because the division of ''n''/''2'' "right" and ''n''/''2'' "left" does not lead to the shift of the lane) #*::::<div class="mw-collapsible mw-collapsed" id="mw-customcollapsible-multiset><div class="mw-collabsible-content>This is because the number of variants is described for the case with ''n'' equals the number of multisets of length ''n'' made up of two ("right and left") elements ([https://en.wikipedia.org/wiki/Multiset#Counting_multisets counting_multisets]). Since this number is (''n'' + ''2'' - ''1'')! / ''n''! = ''n'' + ''1'' we get the above result</div></div> # The lane is actually shifts according to the rules described above. Since there are no empty boxes on the lane to the deployment phase when the lane is shifted, all the boxes on it remain in place, the distances between the units already on the lane do not change. If a lane is shifted, its notation (and visuality because notation reflects the picture on the screen) may change from even to odd or vice versa depending on the initial and final lane width. For example, consider the following location of units on the lane before deployment: ::{| | -||-||''x<sub>1</sub>''||align="center"| -||''x<sub>2</sub>''||-||- |- ||-||-||align="center"| -||''y<sub>1</sub>''||align="center"| -||-||- |} Suppose both players deploy two units on this lane: ''x<sub>3</sub>'', ''x<sub>4</sub>'', ''y<sub>2</sub>'', ''y<sub>3</sub>''. The lane width is 3 before deployment. On the upper lane, we get the value of ''TS'' equal to 4 (2 units on the lane + 2 units will deploy). On the bottom lane, the value ''BS'' is 3 (1 unit currently on the lane + 2 units will deploy). Comparing them, we find that ''TS'' is larger then ''BS'' and ''TS'' is larger than the current lane width. That is, the lane will shift as its length has changed from 3 to 4 units (the notation also changes from odd to even). We will not consider all possible options for the placement of units ''x<sub>3</sub>'', ''x<sub>4</sub>'', ''y<sub>2</sub>'', ''y<sub>3</sub>'' between the deployment slots, but suppose that units is placed from left to right and along the left border. There are only two possibilities to shift: one unit to the right or left. ::{| ! colspan="11"| 1<= ! colspan="12"| before shift ! colspan="11"| => 1 |- | -|| ''x<sub>1</sub>'' || ''x<sub>3</sub>'' || ''x<sub>2</sub>'' || ''x<sub>4</sub>'' ||-|| || || || || || | -||-||''x<sub>1</sub>''||align="center"| -||''x<sub>2</sub>''||-||-|| || || || || || | -||''x<sub>3</sub>''||''x<sub>1</sub>''||''x<sub>4</sub>''||''x<sub>2</sub>''||-|| || || || || || |- ||-||''y<sub>2</sub>''||''y<sub>1</sub>''||''y<sub>3</sub>''||align="center"| -||-|| || || || || || | -||-||align="center"| -||''y<sub>1</sub>''||align="center"| -||-||-|| || || || || || | -||''y<sub>2</sub>''||''y<sub>3</sub>''||''y<sub>1</sub>''||align="center"| -||-|| || || || || || |}
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