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Scoring QuestionAuthor  Message  

Goober 27052007 19:34:11
 When two groups of campers are combined, how does the scoring work?
In game 3079, turn 29, why did I get 20 points?
Thank you.   guyhill 27052007 19:37:34
 When you combine 2 groups, the additional amount of points is (m+1) * (n+1), where m is the size of one of the groups and n is the size of the other.
Example: combine a group of 2 with a group of 3 into a group of 6 caravans.
Score before the join = 3 (1+2) points + 6(1+2+3) points = 9 points Score after the join = 1 + 2 + 3 + 4 + 5 + 6 = 21 points. Difference = 12 points = (2+1) * (3+1).
Hope this helps. If you want I can send you the full proof.
Just for fun: when joining 3 groups you gain (m+1) * (n+1) * (k+1)  m*n*k points.   Cwali 27052007 20:32:54
 That answer is right. But I want to answer in an other way: You get the points for the groups and for the lakes (number of ships) when all spaces are occupied. So the points you see at your name when you do a move are only to help, you don't have to remember or write during the game and the points for the lakes you can loose later. The groups, when all spaces are occupied, count this way: 1 single camper: 1 point 2 connected campers: 3 points 3 connected campers: 6 points 4 connected campers: 10 points 5 connected campers: 15 points 6 connected campers: 21 points 7 connected campers: 28 points 8 connected campers: 36 points 9 connected campers: 45 points 10 connected campers: 55 points 11 connected campers: 66 points 12 connected campers: 78 points 13 connected campers: 91 points 14 connected campers: 105 points 15 connected campers (it happens): 120 points and so on.   guyhill 27052007 21:30:58
 In other words, n * (n+1) / 2, where n is the number of campers in a group.  


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