# Difference between revisions of "Alice"

From CSWiki

m |
m |
||

Line 2: | Line 2: | ||

[http://www.pandamagazine.com/island/island5/alice.pdf] | [http://www.pandamagazine.com/island/island5/alice.pdf] | ||

+ | |||

+ | ==Table== | ||

+ | # D1 = 1 | ||

+ | # A1 = 2 | ||

+ | # N1 = 3 | ||

+ | # D2 = 4 | ||

+ | # I1 = 1 | ||

+ | # E1 = 1 | ||

+ | # S1 = 1 | ||

==Reasoning== | ==Reasoning== | ||

− | # | + | # 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. |

## Revision as of 16:01, 22 August 2006

## Table

- D1 = 1
- A1 = 2
- N1 = 3
- D2 = 4
- I1 = 1
- E1 = 1
- S1 = 1

## Reasoning

- 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.

- Assume that we have a 4-sequence.