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Lewis Carroll meets The Doctors Mystery Cache

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Keezheekoni: We moved to Arizona. The cache is no longer here. Thanks to all who found it!

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Hidden : 6/19/2016
Difficulty:
4.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   large (large)

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Geocache Description:

Cache is not at the posted coordinates. You must solve a logic puzzle and a series of mathematical expressions in order to obtain the final coordinates.

This cache is also a Little Free Library. Please feel free to take a book or leave a book when you visit this geocache.


In a strange turn of events, Lewis Carroll has brought together five of the past Doctors and their companions for a tea party with five Wonderland characters, to revel in stories of the origin and vanquishing of their enemies, while enjoying a light snack. Can you determine which doctor, with which snack food and companion, told which wonderland character about which enemy? Note: the final coordinates are based on number of Doctors in total (thirteen, as of this writing).

(You can download all of the following information, along with a grid to help solve the logic problem, here.)

Categories
A) Doctors
  1. Fourth Doctor
  2. Fifth Doctor
  3. Tenth Doctor
  4. Eleventh Doctor
  5. Twelfth Doctor
B) Companions
  1. Amy Pond
  2. Tedgan Jovanka
  3. Clara Oswald
  4. Sarah Jane Smith
  5. Rose Tyler
C) Foods
  1. Jelly Babies
  2. Fish Fingers and Custard
  3. Banana
  4. Celery
  5. Chips
D) Enemies
  1. Toclafane
  2. Daleks
  3. Cybermen
  4. The Mistress
  5. Weeping Angels
E) Wonderland Characters
  1. Cheshire Cat
  2. White Rabbit
  3. Alice
  4. Mad Hatter
  5. March Hare
Clues
  1. The Fourth and Tenth Doctors could not stand celery.
  2. The Cybermen were the first enemy (in this puzzle, anyway) faced by the Doctors.
  3. Amy Pond told the Mad Hatter about when the Weeping Angels sent her back in time.
  4. The Eleventh Doctor invented a new combination snack, generally thought to be awful.
  5. The Twelfth Doctor did not like vegetables, unless you consider a potato a vegetable.
  6. Rose Typer was a companion before Clara Oswald or Amy Pond.
  7. Sarah Jane Smith was the first Companion (in this puzzle), and when offered, she accepted the Doctor's Jelly Babies.
  8. The Cybermen were not in any stories told to the March Hare, nor the White Rabbit.
  9. The latest Doctor told Alice about the Mistress.
  10. The Tenth Doctor told the tale of the Toclafane, but not to the White Rabbit.
  11. Rose Tyler did not travel with the Doctor who had Celery.
Decoding

If the Fourth Doctor:

Traveled with Amy Pond
Traveled with Tegan Jovanka
Traveled with Clara Oswald
Traveled with Sarah Jane Smith
Traveled with Rose Tyler
Liked Jelly Babies
Liked Fish Fingers and Custard
Liked Bananes
Liked Celery
Liked Chips
Fought the Toclafane
Fought the Daleks
Fought the Cybermen
Fought the Mistress
Fought the Weeping Angels
Talked to the Cheshire Cat
Talked to the White Rabbit
Talked to Alice
Talked to the Mad Hatter
Talked to the March Hare



A=3
A=0
A=7
A=5
A=1
B=2
B=3
B=0
B=9
B=1
C=7
C=3
C=4
C=0
C=2
D=8
D=2
D=9
D=6
D=4

If the Fifth Doctor:

Traveled with Amy Pond
Traveled with Tegan Jovanka
Traveled with Clara Oswald
Traveled with Sarah Jane Smith
Traveled with Rose Tyler
Liked Jelly Babies
Liked Fish Fingers and Custard
Liked Bananes
Liked Celery
Liked Chips
Fought the Toclafane
Fought the Daleks
Fought the Cybermen
Fought the Mistress
Fought the Weeping Angels
Talked to the Cheshire Cat
Talked to the White Rabbit
Talked to Alice
Talked to the Mad Hatter
Talked to the March Hare



E=2
E=3
E=4
E=5
E=7
F=7
F=9
F=2
F=5
F=6
G=4
G=2
G=3
G=7
G=1
H=9
H=3
H=7
H=4
H=0

If the Tenth Doctor:

Traveled with Amy Pond
Traveled with Tegan Jovanka
Traveled with Clara Oswald
Traveled with Sarah Jane Smith
Traveled with Rose Tyler
Liked Jelly Babies
Liked Fish Fingers and Custard
Liked Bananes
Liked Celery
Liked Chips
Fought the Toclafane
Fought the Daleks
Fought the Cybermen
Fought the Mistress
Fought the Weeping Angels
Talked to the Cheshire Cat
Talked to the White Rabbit
Talked to Alice
Talked to the Mad Hatter
Talked to the March Hare



I=3
I=7
I=5
I=6
I=2
J=1
J=7
J=8
J=9
J=2
K=2
K=8
K=5
K=9
K=0
L=9
L=8
L=6
L=4
L=3

If the Eleventh Doctor:

Traveled with Amy Pond
Traveled with Tegan Jovanka
Traveled with Clara Oswald
Traveled with Sarah Jane Smith
Traveled with Rose Tyler
Liked Jelly Babies
Liked Fish Fingers and Custard
Liked Bananes
Liked Celery
Liked Chips
Fought the Toclafane
Fought the Daleks
Fought the Cybermen
Fought the Mistress
Fought the Weeping Angels
Talked to the Cheshire Cat
Talked to the White Rabbit
Talked to Alice
Talked to the Mad Hatter
Talked to the March Hare



M=5
M=9
M=3
M=2
M=6
N=5
N=6
N=2
N=7
N=3
O=1
O=4
O=3
O=0
O=7
P=6
P=9
P=5
P=3
P=7

If the Twelfth Doctor:

Traveled with Amy Pond
Traveled with Tegan Jovanka
Traveled with Clara Oswald
Traveled with Sarah Jane Smith
Traveled with Rose Tyler
Liked Jelly Babies
Liked Fish Fingers and Custard
Liked Bananes
Liked Celery
Liked Chips
Fought the Toclafane
Fought the Daleks
Fought the Cybermen
Fought the Mistress
Fought the Weeping Angels
Talked to the Cheshire Cat
Talked to the White Rabbit
Talked to Alice
Talked to the Mad Hatter
Talked to the March Hare



Q=2
Q=4
Q=7
Q=6
Q=5
R=4
R=8
R=6
R=1
R=5
S=1
S=5
S=3
S=9
S=8
T=0
T=6
T=7
T=9
T=8

Using the values for A through T, determined above, you must now compute six values for the actual coordinates of the cache, using the following formulas:

alpha =

bravo =

charlie =

delta =

echo =

foxtrot =

The format of the final coordinates is:

N alpha° bravo.charlie', W delta° echo.foxtrot'

Good luck!

If you get stuck, hints and help are available, contact the cache owner with your work so far!


You can validate your puzzle solution with certitude.

Additional Hints (Decrypt)

Fzvyr sbe gur pnzren! Lbh jvyy unir n qbt onexvat ng lbh. Fur jvyy or hcfrg orpnhfr fur pnaabg yvpx lbh gb qrngu. Srry serr gb xabpx ba gur qbbe gb fnl Uv, vs gur Fhoneh vf va gur qevirjnl.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)