Difference between revisions of "Alice"

Revision as of 16:01, 22 August 2006

If a sequence of 3, then the smallest the base of the sequence, b, must be b+(b+1)+(b+2) +1+1+1+1 <= 13. Thus, 3*b+7 <= 13. b <= 2. If it's a 4-sequence, then we have b+(b+1)+(b+2)+(b+3)+1+1+1 <= 13. 4*b+9 <= 13. b <= 1.
DANDIES=13. Speculate:
1. Assume that we have a 4-sequence.
  1. Assume that the sequence is first. Then D1=1,A1=2,N1=3,D2=4,I1=1,E1=1,S1=1.
  2. Apply this information to PRAISED=13.
    1. If D=D2, then the sequence must end there, and we must have 1+1+1+1+2+3+4. Giving us P1=1,R1=1,A2=1,S2=2,E2=3.

@@ Line 2: / Line 2: @@
 [http://www.pandamagazine.com/island/island5/alice.pdf]
+==Table==
+# D1 = 1
+# A1 = 2
+# N1 = 3
+# D2 = 4
+# I1 = 1
+# E1 = 1
+# S1 = 1
 ==Reasoning==
-# ANDRIES=21 and DANDIES=13 => R-D = 8.
+# If a sequence of 3, then the smallest the base of the sequence, b, must be b+(b+1)+(b+2) +1+1+1+1 <= 13.  Thus, 3*b+7 <= 13.  b <= 2. If it's a 4-sequence, then we have b+(b+1)+(b+2)+(b+3)+1+1+1 <= 13.  4*b+9 <= 13.  b <= 1.
-#
+# DANDIES=13.  Speculate:
+## Assume that we have a 4-sequence.
+### Assume that the sequence is first.  Then D1=1,A1=2,N1=3,D2=4,I1=1,E1=1,S1=1.
+### Apply this information to PRAISED=13.
+#### If D=D2, then the sequence must end there, and we must have 1+1+1+1+2+3+4.  Giving us  P1=1,R1=1,A2=1,S2=2,E2=3.