Difference between revisions of "AoPS Wiki talk:Problem of the Day/June 6, 2011"

Latest revision as of 22:55, 10 June 2011

Just rewrite the numbers over and over and get rid of every 9th:

1 2 3 4 5 6 7 8 9 Remove the 9

10 11 12 1 2 3 4 5 6 Remove the 6

7 8 10 11 12 1 2 3 4 Remove the 4

5 7 8 10 11 12 1 2 3 Remove the 3

5 7 8 10 11 12 1 2 5 Remove the 5

7 8 10 11 12 1 2 7 8 Remove the 8

10 11 12 1 2 7 10 11 12 Remove the 12

10 11 1 2 7 10 11 1 2 Remove the 2

7 10 11 1 7 10 11 1 7 Remove the 7

10 11 1 10 11 1 10 11 1 Remove the 1

10 11 10 11 10 11 10 11 10 Remove the 10

The last number to be destroyed is $\boxed{11}$ .

@@ Line 2: / Line 2: @@
 {{:AoPSWiki:Problem of the Day/June 6, 2011}}
 ==Solution==
-{{potd_solution}}
+Just rewrite the numbers over and over and get rid of every 9th:
+2 3 4 5 6 7 8 9                       Remove the 9
+11 12 1 2 3 4 5 6                 Remove the 6
+8 10 11 12 1 2 3 4                 Remove the 4
+7 8 10 11 12 1 2 3                 Remove the 3
+7 8 10 11 12 1 2 5                 Remove the 5
+8 10 11 12 1 2 7 8                 Remove the 8
+11 12 1 2 7 10 11 12           Remove the 12
+11 1 2 7 10 11 1 2               Remove the 2
+10 11 1 7 10 11 1 7               Remove the 7
+11 1 10 11 1 10 11 1           Remove the 1
+11 10 11 10 11 10 11 10     Remove the 10
+The last number to be destroyed is <math>\boxed{11}</math>.