On the Subject of The Tea Set

A plot with loads of surprising and emotional twists, a compendium of masterfully crafted and devious puzzles... and this thing, remembered just as fondly.

This module allows you to brew different kinds of tea. To do this, select three ingredients on the bottom display, then press the lid of the teapot. There is also a retry button that will remove any added ingredients.

There are twelve different recipes listed in Appendix T that the module recognises. If you select the ingredients to make one of these recipes, the module will display the name of said recipe.

To solve the module, make three different recipes in a certain order. Making a recipe that the module doesn’t expect will cause a strike, but making “tea” that doesn’t fit any of the recipes will not, as doing this is important to solving the module.

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First, take note of the order of the ingredients, from left to right, on the bottom screen. Then, convert each ingredient into a number using the table below, and call the resulting string of numbers I:

Oasis Leaf	Brisk Berry	Citronia Seed	Dream Fluff	Joy Root Clover	Tonic Flower	Peppercherry	Cinder Horse
1	2	3	4	5	6	7	8

Take the first three digits of the serial number (or the first two, if there are only two). Take them modulo 8, plus one, and convert them into ingredients using the table above. If you only have two ingredients, the third is the first ingredient in reading order on the bottom screen.

If these three ingredients combine to make a recipe or they are all the same, change the third ingredient to the one to its right in the table (wrapping around, if necessary) until they don’t make a recipe and are not all the same. Then, brew a cup of “tea” with these ingredients.

Professor Layton and Luke (top screen) will not like this “tea”, and will respond accordingly. Find the first of their statements in the table on the next page to get a number between 0-9, called N₀.

0	Luke: This tea smells a bit, well, funny. Are you sure we can drink this, Professor?
1	Luke: Well...
2	Layton: This is just terrible.
3	Luke: Professor, this tea is...foaming!
4	Layton: Oh, this won’t do at all.
5	Luke: P-Professor! There’s smoke coming out of this tea!
6	Luke: Professor...this tea is...peculiar.
7	Layton: Interesting. I’ve never seen tea congeal before.
8	Luke: Professor, this doesn’t look like tea at all. If I didn’t know better, I’d swear we’ve brewed some mud.
9	Layton: Oh, dear...

Repeat the following steps twice to get N₁ and N₂ (where n is the iteration number, which starts at 0):

1. If this is your first loop through these steps, take the sum of the first four digits in I. Otherwise, take the sum of the last four.
2. Do the same for the first/last three and first/last two digits.
3. Add N_n to all of these results.
4. Take these numbers modulo 8, plus 1, and convert them all into ingredients.
5. If these three ingredients combine to make a recipe or they are all the same, change the third ingredient to the one to its right in the ingredients table (wrapping around, if necessary) until they don’t make a recipe and are not all the same.
6. Brew another cup of “tea” with these ingredients.
7. Find the first of Professor Layton and Luke’s new statements in the table above to get N_{n + 1}.

With N₀, N₁ and N₂, you can find which recipes you need to make, on the next page.

For each N_n, apply the following conditions in order:

• If there is a lit TRN on the bomb, skip the rest of these conditions.
• If the bomb has exactly 2 battery holders and n = 0, add 2.
• If the bomb has exactly 2 indicators and n = 1, add 2.
• If the bomb has exactly 2 port plates and n = 2, add 2.
• If the (n + 1)th digit of I is 8, add 3 + n.
  • Otherwise, if the (n + 1)th digit of I is greater than 4, add 3.
• If the serial number contains a vowel, add 1 + n.

Take each N value modulo 12, plus 1. Then, convert each value into a recipe in Appendix T and repeat the following actions until you have three distinct recipes:

• If the second recipe is the same as the third, change it to the one with an index one higher (wrapping around, if necessary).
• If the first recipe is the same as any other, do the above action, but with the first recipe instead of the second.

Make these three recipes in order to solve the module. The bottom-right button will mute the music that this module plays, unless the module is solved, in which case it will remove everything from the surface of the module.

Appendix T: Tea Recipes

Recipe		Ingredients	Recipe		Ingredients
1	Citrus Classic		7	Dream Spice
2	Oasis Berry		8	Clover Quencher
3	Sugar Smoke		9	Radiance Blend
4	Root Remedy		10	Cayenne Twilight
5	Cherry Boost		11	Cinder Flower
6	Bitter Fruit		12	The Layton Elixir