# A Letter from the Past

It has been quite a while since your first assignment as a P.U.Z.Z.L.E. agent. Most of your tasks weren't even half that exciting and since your boss is currently on vacation, your most important task right now is to beat the ceiling dart high score.

Just as you prepare your final throw, your boss's boss - Mr. Smith - rushes through your door, looks around and finally walks towards you.

"You! ... This was delivered yesterday by a courier from a law office."

He hands you a letter.

"Find out what this is all about. This has top priority, I need an explanation first thing tomorrow morning. ... Oh, I almost forgot. The envelope with the letter contained this as well."

He hands you a punched card. Well, it might have been state of the art when the letter was written, but what are you supposed to do with it now?

Mr. Smith rushes out of the room almost as fast as he came in, leaving you with a quizzical expression. Luckily you know Charles, probably the oldest man still working here. Maybe he can provide some insights. You find him in one of the labs.

"Ermm, yes, I remember Dr. Leverett. He was only a couple of weeks here before he disappeared without a trace. There was an investigation, but it came to nothing. Wait a second, we should still have one of those devices he was working on."

He walks away and comes back a couple of minutes later, carrying something looking like an oversized PDA. Its display must be one of the first ever produced LCD displays, and it has the most odd keyboard you have ever seen.

"Dr. Leverett attached the display and the keyboard, before he disappeared. We had two more of these devices, one of them heavily damaged, but they disappeared together with him. We only had little time to examine them before the project was cancelled. The only things we could discover were, that the devices had some unknown energy source and an odd clock signal. Examinations after Dr. Leveretts disappearance have shown, that the clock signal of this device was changed, possibly by Dr. Leverett himself."

Charles makes a short break and then continues:

"Well, I have to get back to work. Good luck with your investigation. I hope you can find out what happened to Dr. Leverett."

### Instructions

Using the device requires a 5 character long code consisting of lowercase letters, uppercase letters and digits. Add the code to the following URL to use it:

http://i.stack.imgur.com/<add code here>.jpg


Images will contain a white on black transcript code. This is provided only for convenience, some puzzles aren't solvable with the transcript only. Add the code to the following URL to use it:

http://pastebin.com/raw/<add code here>


Example: http://pastebin.com/raw/F68ed0gW

### Hints

Part 1 (solved by Deusovi and Will)

- There are 3 possible values for "today".
- One of Deusovis comments below his answer contains the right key.

XEZWRDEUNU
?????91920
?????UDLLU

Part 2 (solved by Will)

- Remember what you learned in part 1.
- Remember the history tag.

Part 3 (solved by Alconja)

- The number of characters in the first line matches another number of items.
- How many unique digits does "today" have?
- A friend has shown me his birth certificate, and his name looked very odd.

01234567

ETRESNIH
MOAHINES
NNKTWIOO
ENHTHASG
EMILINSE
INFTDINO
TNUOXXXG

Part 4 (solved by Alconja, ffao and Will)

- The four yellow "buds" are not always zeros (or ones).

Part 5 (solved by Alconja, Arbitrary Kangaroo, Deusovi, ffao and Will)

- You might need Deusovi to solve this.

Part 6 (solved by Alconja, Arbitrary Kangaroo, Deusovi and ffao)

- The arrangement of the cipher at the top is a hint for the puzzle below (as already found out in chat).
- The decrypted message is a hint for the final solution.
- The cipher which is used here has the word "cipher" in its name, but is actually not really a cipher (see tags below).
- What characteristics of a ciphertext can be indicators of a particular cipher?

Part 7 (solved by Alconja and ffao)

- If you think, that you don't have enough different dates yet, there is one unused hint in part 2.
- You need a basic understanding, of how the devices work (there is an important restriction).
- The previous sentence contains, apart from the obvious meaning, a second hint.
- Basic arithmetic is all math knowledge you need.
- It looks like you couldn't simply travel to any time you like using these devices. Something narrows down the possible travel targets.

Mr. Smith wants answers to the following questions:
- Why was it necessary to visit the years you visited, why were you involved at all?
- "Where" is Dr. Leverett?

There is also another still undiscovered Easter Egg.

### Credits

• Many thanks to Beastly Gerbil for proofreading the story parts.
• This puzzle contains several freely available images from the internet. I will add links to the image sources once the corresponding part of the puzzle was solved. Links may contain spoilers.
• Ooooooooh. This looks fun. – Deusovi Sep 20 '16 at 16:53
• So, Clearly- UDLLU- Uppercase, Digit, Lowercase, Lowercase and Uppercase. Which means that the 5 character code is in that order... – Sid Sep 21 '16 at 18:32
• You are very welcome for the proofreading. Shame that now means I can't solve the puzzle :P – Beastly Gerbil Sep 23 '16 at 21:06
• @BeastlyGerbil As you didn't see any of the actual puzzles before and nobody else wants to answer, I'd say go ahead. – Sleafar Sep 25 '16 at 8:52
• I've created a chat room for anyone who wants to discuss/collaborate on this puzzle... – Alconja Oct 5 '16 at 0:48

First step of Part 1: See Deusovi's answer.
Rest of Part 1 and Part 2: See Will's answer.
Parts 3 and 4: See Alconja's answer.

## Part 5

Today's date is:

Some day in the year 859, during the Viking expedition in the Mediterranean Sea.

We need this to:

Determine, from the corners of the mosaic, the special position in the grid. The right arrow is indicating the first of three digits and the down arrow is indicating the second of three digits, meaning to use 8 right and 5 down.

Then, we should remember the punchcard we had to use in Part 1 and align it with the correct square to get the following grid:

Noticing that in the borders, dashes have a brown background and dots have a light blue background, and spaces have a yellow background, we can translate the spaces in our punch card into Morse code: ".-. -..- -. --.- -...", giving "rxnyb".

For the final step, the punch card also reveals five of the arrows in the mosaic: ^v^^v. Taking ^ to mean uppercase and v to mean lowercase, we get the link to Part 6.

### Alternate ending

Had we done things in the wrong direction earlier...

And used the card upside down, we would still get valid Morse code and arrows. This time the Morse translates to "lcuov" and the arrows are ^^^v^, leading us to a black hole.

## Part 6

Today is

75 BCE, when Caesar was captured by pirates. They demanded 20 units (vigenti talenta) for him, when he said they should ask for at least fifty (quinquaginta).

Presumably, the first part of the tablet was meant to clue us to the following fact, which @Deusovi figured out:

We are dealing with magic squares here.

The obvious choice for the magic constant is 75. Solving the bottom square for the missing numbers:

 11 16 22 26
27 21 15 12
17 14 25 19
20 24 13 18

Taking the numbers indicated by coins in the tablet, we have: 11, 15, 25, 20, 18. Converting this to letters, we get "lpzus". The symbols below the magic square in the tablet tell us how to convert them to upper/lowercase, and by doing the correct conversion we can finally go back home.

However, our puzzle is still not over, as we need to find an explanation for what happened before Mr. Smith comes back from his meeting.

## Part 7

### The restriction of the devices

Recollecting the dates seen in the puzzle, these are the three first dates we went to: 2016, 1908, 1722.

We also know that Dr. Leverett left from 1969, and Part 2 gives us evidence that he also went to 1827 (as the clue was on the Freedom's Journal, published in that year).

After a lot of mathematical fiddling (see the chat if you want details of how this was figured out), we can assert that in fact the two devices used are actually linked: the jump distance depends on the relative locations of both devices. More precisely, if our device is in year X, and Leverett's device is in year Y, then we jump approximately 2.30855 * (X-Y) years into the past. We can verify from Leverett's 1969 to 1827 jump that his device works the same way.

Given this information, we can reconstruct the path the Dr took alongside us, and find out that when we were in 75 BC, his device must have been in 766 BC.

### Why was it necessary to visit the years we visited?

We have two hints to answer this question: the first is the previously-unsolved cipher in part 6. It's a Baconian cipher, and thanks to Alconja having the patience to decode it, we know that the plaintext is "I found her. I finally found her."

The second hint is the presence of a third device, other than the two we and Leverett are using, that is broken.

Given those two facts, we can postulate that an unidentified woman tried to use that device, but it broke, leaving her stuck in the past in the year 766 BC. Leverett did the calculations and knew that to reach that year from 1969, someone else had to help by using the other device, and that someone had to start from 2016. Therefore why we received the letter when we did.

### Where is Dr. Leverett now?

Given what we know about how the devices function, we still did not explain how we got back to 2016. The only way we could jump forward in time is if the doctor were ahead of us in time, from which we can deduce that Leverett used his device for a second time after finding the woman he was looking for in 766 BC.

From the device formula, a jump from 766 BC with the other device at 75 BC places him somewhere in the year 831.

We can verify that a jump from 75 BC with the second device at 831 does bring us back to the year 2016.

After we jumped back, the doctor possibly did not want to stay in the far past, and so took another jump to the year 3567.

We can reconstruct the whole craziness of this time travelling trip in this timeline of events (click to enlarge):

# Rest of part 1

Using a Gronsfeld cipher on the ciphertext in the letter with the key 20160919 we get the string VEYQRUDLLU which we split into two halves VEYQR and UDLLU and interpret pairwise:

VU = V Uppercase,
ED = E Digit (0-indexed),
YL = Y Lowercase,
QL = Q Lowercase,
RU = R Uppercase,

to give the string V4yqR, which we put in the image URL to get to part two

# Part 2

This image depicts the 1908 New York to Paris race which began on February 12, 1908 (remember this, it's important later!)

If we count the letters in the words in the ad (including the words HOTEL ADVENTURER, we get:
5, 10, 2, 13, 5, 3, 3, 5, 2, 11, 3, 9, 1, 6, 4, 3, 5, 14, 1, 12

Interpreting this as A1Z26 gives us the string EJBMECCEBKCIAFDCENAL

Using Gronsfeld again, this time with the key 19080212 (it's today for us!) we get a string of all letters A through E: DABEEABCABCAADCADEAD

The words "tap and knock" in the advert hint at using a tap code after mapping the letters back to their A1Z26 numeric values and pairing them up:

DA BE EA BC AB CA AD CA DE AD = 41 25 51 23 12 31 14 31 45 14 = QJVHBLDLUD

Decoding this the same as the string from part 1 takes us to part 3

• How on earth did you know it was the picture of a race?? – Sid Sep 27 '16 at 7:50
• @Sid Right click on image - Search Google ! So simple, but yields correct results. – user27395 Sep 27 '16 at 9:28
• It is Moai, and the key should be 17220405, when Dutch Jacob stepped here, but it's not matching <code>**3**6**<code> Might be just 12345678, and that key might be used layer. – user27395 Sep 27 '16 at 9:34
• . I assume you're misinterpreting part 2 hint, as it's probably doesn't mean to remember February 12, 1908 , but probably that the grobsfeld key at beginning of a part is always the day being described. – user27395 Sep 27 '16 at 9:41
• @ArkaKarmakar Yes, I tried some things with 17220405 but didn't come up with anything reasonable. RE: part 2, all I meant by "later" was literally 3 paragraphs later in my post - I was not implying the date will be of any import later in the course of the puzzle. – Will Sep 27 '16 at 9:51

## Part 3

From the image and the main body of text therein, we can deduce that we are now:

witnessing the first recorded European contact with Easter Island, and that therefore "today's" date is 5 April, 1722 (or 17220405 to format it like previous steps).

Now taking the enciphered parts of the image one at a time...

Firstly we have ..3..6.., which when spliced with the unique digits of the date (i.e. 172045), gives us 17320645 (admittedly this part came from the hint - I'm not sure if there is a more obvious way to deduce it).

Next, looking at the block of enciphered text:

EMNEEIT TONNMNN
RAKHIFU EHTTLTO
SIWHIDX NNIANIX
IEOSSNX HSOGEOG
We see that there are eight groups, which neatly corresponds with our collection of 8 digits above. So aligning the text into eight columns, we get:
ETRESNIH
MOAHINES
NNKTWIOO
ENHTHASG
EMILINSE
INFTDINO
TNUOXXXG
Now we sort the columns based on the order of 8 digits above to get:
THEREISN
OSHAMEIN
NOTKNOWI
NGTHESHA
MELIESIN
NOTFINDI
NGOUTXXX
Or more clearly, "There is no shame in not knowing. The shame lies in not finding out.", which happens to be a Russian proverb.

Having nothing more that "Russian" and 0 p o T H to go on, we can observe that, in the Russian alphabet, the letter p is pronounced as a "rolled r" and H is pronounced as an English "N", leaving us with 0 r o T N, or more importantly for us, Part 4...

## Part 4

Firstly, today's date is:

13 January 1404, based on the fact that the partial quotes appear to be referring to the creation of the Act Against Multipliers.

Now, onto the image:

Based on all the + symbols around the outside, and the variation in counts of petals/leaves in each grid square, I imagine this is a logic puzzle where each cell has to be filled with a digit such that each sub-row/sub-column adds to the number at it's left/top (OP pointed out that these are called Kakuro puzzles).

The puzzle is impossible if you treat the yellow buds as either zeroes or ones, however as @ffao discovered in chat, substituting the digits of the year into each bud instead, gives a single solution:

Now we can take the digits highlighted in blue (6 12 15 9 12) and convert them to upper/lower/digits based on the DUUUL shown in the image (using A=0, as in earlier conversions), we get 6 M P J m, and thus Part 5.

• I don't have time to delve into Part 4 right now, but if someone else wants to take the flame, this link should give you "today's date" (spoilers obviously)... – Alconja Oct 4 '16 at 6:10
• @ArbitraryKangaroo - come on in (for future reference if you go to chat.stackexchange.com, there's a "create room" button at the bottom, then you just need to make sure you associate it with Puzzling, as it will default to StackOverflow). – Alconja Oct 5 '16 at 0:49

### Partial answer for part 1

Overlaying the punch card on the letter gives "the begInning is always today".

• @Matsmath: Not yet. I was just in the middle of rotating it, actually. Don't think it's likely to work, though - the punch card contains unpunched areas in the same place that the message has paragraph breaks. – Deusovi Sep 20 '16 at 17:04
• @Sid: The ciphertext is so short that I don't think quipqiup would really help us here, since there are so many options. We're gonna need to figure out the cipher and possibly the key. (Already tried Caesar cipher, by the way - no dice.) – Deusovi Sep 20 '16 at 17:11
• "Today" could refer to 1969-09-14, 2016-09-20, or 2016-09-19. – Deusovi Sep 20 '16 at 18:09
• Ah ha! I tried like every key but the right one the other day... tried again with one I apparently missed just now & got something. SPOILER: ROT13(TEBAFSRYQ;XRL=20160919) leads us here – Will Sep 26 '16 at 6:07
• Also, below is the pastebin To save time, I tried Will's cipher with 20160919 and 19690914 and all caesar on first letters of the ad. Nothing cool. – user27395 Sep 26 '16 at 10:29