A Location Game On Disjoint Circles



Strategy Y *

if there is an empty key position left then

(a)


if there is an empty key position on the circle where the opponent

took a key position in his last move then

if there is only one point in that circle then

assign the number of key positions for this circle to dN/K"∣
place a point on a key position in that circle next to the point
placed by the opponent on the clockwise side of that point (if
possible), otherwise on the anti-clockwise side (if possible)

_ otherwise anywhere else

else if there is an empty key position in a non empty circle then
place a point on a key position in that circle

else if number of empty circles L K - N mod K then
place a point on an empty circle assigning the number of key

_ positions for this circle to bN/KJ

else

place a point on an empty circle assigning the number of key
_ positions for this circle to
dN/K^∣

else if if r < Z then

(b) |_ place a point in the middle of a maximal interval of the opponent

else

(c) if there is more than one interval of the opponent then
place a point in the middle of a maximal interval of the

opponent

else if there is exactly one interval of the opponent and its length

is l then

place a point in a bichromatic key interval at distance less

_ than 1/dN/Ke — l from endpoint of the opponent

17



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