Originally, this post was scheduled to hype up the return of one of the most inventive and enjoyable crossword tournaments in recent memory, the Indie 500.
Scheduled for June 6th, the sixth annual edition of the tournament would have featured clever clues, some dynamite puzzles, and pie. (There’s always pie.)
Unfortunately, the ongoing COVID-19 crisis has scuppered many events large and small over the last few months. Crossword fans missed out on the American Crossword Puzzle Tournament back in March, though many of them — 1,815 solvers! — enjoyed the wonderful Crossword Tournament From Your Couch event that was organized in its stead.
The organizers of the Indie 500 posted back in March that they were working on a solve-at-home event to be held this summer, but as of this posting, no further details have emerged.
But do not fret. If you’re looking for some puzzly challenges to dive into over the weekend, the Indie 500 team have made the tournament puzzle packs for ALL FIVE previous tournaments available for free on their website, which is an incredibly generous and kind gesture.
And if you’re looking to get a sense of what sort of challenges and delights the tournament has to offer, we have write-ups covering eachof thefivepreviouseditions of the tournament for you to check out.
Here’s hoping we still get to indulge in some fresh Indie 500 treats this summer. It truly has become one of the highlights of the puzzly calendar, one that I look forward to every year.
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Last month, in honor of mathematician and puzzly spirit John Horton Conway, we shared two of his favorite brain teasers and challenged our fellow PuzzleNationers to crack them.
Now that we’ve heard from a few solvers who either conquered or got very close to conquering the second puzzle, we happily share both the solution and how we got there.
The Ten Divisibilities
I have a ten digit number, abcdefghij. Each of the digits is different, and:
a is divisible by 1
ab is divisible by 2
abc is divisible by 3
abcd is divisible by 4
abcde is divisible by 5
abcdef is divisible by 6
abcdefg is divisible by 7
abcdefgh is divisible by 8
abcdefghi is divisible by 9
abcdefghij is divisible by 10
What’s my number?
[To clarify: a, b, c, d, e, f, g, h, i, and j are all single digits. Each digit from 0 to 9 is represented by exactly one letter. The number abcdefghij is a ten-digit number whose first digit is a, second digit is b, and so on. It does not mean that you multiply a x b x c x…]
And here are the hints we offered to help:
-If you add all the digits in a number, and the total is divisible by 3, then that number is also divisible by 3.
-If the last two digits of a number are divisible by 4, then that number is divisible by 4.
-If the last three digits of a number are divisible by 8, then that number is divisible by 8.
The solution is 3816547290.
So, how do we get there?
First, we use process of elimination.
Any number divisible by 10 must end in a zero, so j = 0.
Any number divisible by 5 must end in a zero or a five, so e = 5 (because each digit only appears once).
That gives us abcd5fghi0.
But that’s not all we know.
If a number is divisible by an even number, that number must itself be even. So that means b, d, f, and h must all be even numbers (i.e. some combination of 2, 4, 6, and 8). That also means that a, c, g, and i must all be some combination of the remaining odd numbers (1, 3, 7, and 9).
That’s a lot of information that will come in handy as we solve.
So, where to next? Let’s look at one of those even-numbered spots.
We’ve been told that abcd is divisible by 4. But any number is divisible by 4 if the last two digits are divisible by 4. So that means cd is divisible by 4.
So, if c is odd, d is even, and cd is divisible by 4, that limits the possibilities somewhat. cd must be 12, 16, 32, 36, 72, 76, 92, or 96.
So d is either 2 or 6.
That will be helpful in figuring out def. And knowing def is the key to this entire puzzle.
One of the clues we offered in our last post was that if the sum of a number’s digits is divisible by 3, then that number is also divisible by three. We know abc is divisible by 3, so that means a + b + c is also divisible by 3.
And if something is divisible by 6, then it’s also divisible by 3, so a + b + c + d + e + f is divisible by 3.
Here’s where things get a little tricky. Since a + b + c + d + e + f is divisible by 3, and a + b + c is divisible by 3, then when you subtract a + b + c from a + b + c + d + e + f, the result, d + e + f would also be divisible by 3.
Why is that helpful? Because it means we can look at def instead of abcdef, and we know a lot about def right now.
d is either 2 or 6. e is 5. f is either 2, 4, 6, or 8. And the sum of d + e + f is divisible by 3.
So that gives us two possibilities to deal with, either 2 + 5 + f, where the sum is divisible by 3, or 6 + 5 + f, where the sum is divisible by 3.
Since each number is only used once, that’s six possible equations:
2 + 5 + 4 = 11
2 + 5 + 6 = 13
2 + 5 + 8 = 15
6 + 5 + 2 = 13
6 + 5 + 4 = 15
6 + 5 + 8 = 19
Only 258 and 654 have sums divisible by 3, so they’re our two possibilities for def.
We’ll have to try both of them to see which is the correct choice. How do we do that?
Let’s start with the assumption that def is 258.
That would mean our answer is abc258ghi0. We know b and h have to be even numbers, and only 4 and 6 are left as options. Since fewer numbers are divisible by 8 than by 2, let’s look at abc258gh.
One of the other hints we offered was that if the last three digits of a number are divisible by 8, then the whole number is divisible by 8.
So that means if abc258gh is divisible by 8, then 8gh is divisible by 8. That’s much more manageable.
So, f is 8, h is 4 or 6, and g is either 1, 3, 7, or 9. That gives us eight possibilities for 8gh: 814, 834, 874, 894, 816, 836, 876, and 896.
Dividing each of these by 8 reveals only two possible choices: 816 and 896. That means, in this scenario, h is 6, b is 4, and our number is a4c258g6i0.
What’s next? Well, remember that trick we did with abcdef before? We’re going to do it again with abcdefghi.
Any number divisible by 9 is divisible by 3. Our rule of sums tells us that a + b + c + d + e + f + g + h + i is also divisible by 3. And since a + b + c + d + e + f is divisible by 3, subtracting it means that g + h + i is also divisible by 3.
With 816 and 896 as our possibilities for fgh, that means our possibilities for ghi are 16i and 96i. That gives us the following possibilities: 163, 167, 169, 961, 963, 967, where the sum of our answer must be divisible by 3.
1 + 6 + 3 = 10
1 + 6 + 7 = 14
1 + 6 + 9 = 16
9 + 6 + 1 = 16
9 + 6 + 3 = 18
9 + 6 + 7 = 22
963 is the only one that works, which gives us a4c2589630. With only 1 and 7 remaining as options, our possible solution is either 1472589630 or 7412589630.
But, if you divide either 1472589 or 7412589 by 7 — which is faster than running every one of the 10 conditions through a calculator — neither divides cleanly. That means 258 is incorrect.
I know that was a lot of work just to eliminate one possibility, but it was worth it. It means 654 is correct, so our solution so far reads abc654ghi0.
And we can use the same techniques we just employed with 258 to find the actual answer.
We know b and h have to be even numbers, and only 2 and 8 are left as options. Again, since fewer numbers are divisible by 8 than by 2, let’s look at abc654gh.
4gh is divisible is 8. So, f is 4, h is 2 or 8, and g is either 1, 3, 7, or 9. That gives us eight possibilities for 4gh: 412, 432, 472, 492, 418, 438, 478, and 498.
Dividing each of these by 8 reveals only two possible choices: 432 and 472. That means b is 8, and our number is a8c654g2i0.
Now, let’s look at ghi.
With 432 and 472 as our possibilities for fgh, that means our possibilities for ghi are 32i and 72i. That gives us the following possibilities: 321, 327, 329, 721, 723, 729, where the sum of our answer must be divisible by 3.
3 + 2 + 1 = 6
3 + 2 + 7 = 12
3 + 2 + 9 = 14
7 + 2 + 1 = 10
7 + 2 + 3 = 12
7 + 2 + 9 = 18
Okay, that leaves us four possibilities for ghi: 321, 327, 723, and 729.
Stay with me, folks, we’re so close to the end!
Let’s look at our four possibilities:
a8c6543210 (79)
a8c6543270 (19)
a8c6547230 (19)
a8c6547290 (13)
Next to each number, I’ve placed the only digits missing in each scenario, two for each.
That means there are only 8 possible ways to arrange the remaining numbers:
7896543210
9876543210
1896543270
9816543270
1896547230
9816547230
1836547290
3816547290
So let’s do what we did last time, and divide each chain at the seventh number by 7.
7896543 / 7
9876543 / 7
1896543 / 7
9816543 / 7
1896547 / 7
9816547 / 7
1836547 / 7
3816547 / 7
Only one of the chains can be cleanly divided by 7, and it’s 3816547.
Which means the solution for abcdefghij is 3816547290.
I know this was a monster of a solve — it rivals our Brooklyn Nine-Nine seesaw puzzle solution in complexity — but it’s one that every one of our fellow PuzzleNationers are capable of puzzling out.
How did you do on this diabolical brain teaser, folks? Let us know in the comments section below. We’d love to hear from you!
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The more you look, the more you can find puzzles in all sorts of interesting places. We find them in literature, in historical documents, and in popular culture.
So it should come as no surprise that puzzles can be found in the world of poetry as well.
One of the most common ways that puzzly techniques find their way into poetry is through acrostics. Acrostics spell out messages with the first letter of each line or verse.
One of the most famous is a poem by Lewis Carroll at the end of Through the Looking-Glass where he reveals the identity of the girl who inspired his famous stories:
A boat beneath a sunny sky, Lingering onward dreamily In an evening of July—
Children three that nestle near, Eager eye and willing ear, Pleased a simple tale to hear—
Long has paled that sunny sky: Echoes fade and memories die. Autumn frosts have slain July.
Still she haunts me, phantomwise, Alice moving under skies Never seen by waking eyes.
Children yet, the tale to hear, Eager eye and willing ear, Lovingly shall nestle near.
In a Wonderland they lie, Dreaming as the days go by, Dreaming as the summers die:
Ever drifting down the stream— Lingering in the golden gleam— Life, what is it but a dream?
Carroll certainly offers the most famous example, but I must confess that my favorite example comes from a story on Wikipedia. Poet Rolfe Humphries was banned from Poetry Magazine for life for an acrostic aimed at a diplomat and former president of Columbia University. The acrostic quite bluntly read “Nicholas Murray Butler is a horse’s ass.”
Of course, the message reading down — also known as an acrostich — isn’t the only way these messages can be hidden.
There are also examples of mesostich — where the word or message is spelled with letters in the middle of the verse — and telestich, where the last letters of each line spell a name or message.
These techniques were also used in ancient Greek inscriptions, where one particular example, AL205, featured acrostich, mesostich, and telestich messages at the same time.
Other puzzly stylings have also allowed poets to flex their wordplay muscles.
For instance, David Shulman wrote a 14-line sonnet about George Washington’s famous river crossing where every line is an anagram of “Washington crossing the Delaware”:
A hard, howling, tossing water scene. Strong tide was washing hero clean. “How cold!” Weather stings as in anger. O Silent night shows war ace danger!
The cold waters swashing on in rage. Redcoats warn slow his hint engage. When star general’s action wish’d “Go!” He saw his ragged continentals row.
Ah, he stands – sailor crew went going. And so this general watches rowing. He hastens – winter again grows cold. A wet crew gain Hessian stronghold.
George can’t lose war with’s hands in; He’s astern – so go alight, crew, and win!
There are also ABC poems, a form where the goal of each poem is to use words starting with each letter of the alphabet in order. You can find some entertaining and impressive examples here.
Some poets, however, have flipped the puzzle poem on its head by treating the poems like puzzles. The folks at UVA’s Puzzle Poetry group utilize Tetris-like puzzle pieces with words on them to assemble poems.
The concept dates back to 2017, a creation of Neal Curtis and Brad Pasanek, serving as a way to both explore and deconstruct the art of poetry itself by making a puzzle out of it.
It’s a very cool idea, reminiscent of how magnetic poetry sets allow you to turn your fridge into a canvas by assembling and reworking the order of the various available words.
Puzzles by their very nature are about finding a solution, bringing order out of chaos, whether it’s assembling puzzle pieces, answering devious crossword clues to fill a grid, or unraveling a tricky brain teaser that pushes you to think in a different way.
And since poetry is all about expressing truths in a personal way, it makes a lovely sort of sense that puzzly techniques would intertwine with this thoughtful, elusive form of art.
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A few weeks ago, we challenged our fellow puzzlers and PuzzleNationers to puzzle out an artistic challenge created by an Instagram account called morphy_me.
The account, credited only as Benji, features images that merge elements of both celebrities, somehow creating an image that is reminiscent of both, and yet feels strangely new.
Did you puzzle out which pairs of celebrities formed these images? Let’s find out!
#1
Answer: Emily Blunt and Katy Perry
#2
Answer: Al Pacino and Robert DeNiro
#3
Answer: Jessica Alba and Ariana Grande
#4
Answer: David Bowie and Kurt Cobain
#5
Answer: Kim Kardashian and Taylor Swift
#6
Answer: Robert Pattinson and Christian Bale
(a future and former Batman)
#7
Answer: Margot Robbie and Sharon Tate
#8
Answer: Heath Ledger and Joaquin Phoenix
(an all-Joker edition)
#9
Answer: Tom Welling and Henry Cavill
(an all-Superman edition)
#10
Answer: Winona Ryder and Jennifer Connelly
#11
Answer: Billie Eilish and Scarlett Johansson
#12
Answer: Rihanna and Cara Delevingne
#13
Answer: Bill Nye and Bill Nighy
(that’s just delightful wordplay)
#14
Answer: Tom Holland and Jake Gyllenhaal
(hero AND villain from the latest Spider-Man film)
#15
Answer: Zendaya and Vanessa Hudgens
How many did you get? Let us know in the comments section below! We’d love to hear from you!
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But it’s true. There are numerous ways people can transgress against the noble crossword, harming both the body and the spirit of the crossword itself.
For instance, check out this picture of a crossword from The Los Angeles Times, republished in a local newspaper, which was shared on reddit:
Look at it! They cropped all four sides of the puzzle in order to fit the available space. Good luck figuring out which across word is clued by “mesake of a ed ratio” or one of the many other mangled clues along the left-hand side of the puzzle.
That is a crime against crosswords.
They’re not always so obvious and clumsy, though.
No, sometimes, a crossword is harmed by crummy fill or an abundance of nonsense abbreviations or numerous Naticks formed by crossing obscure words with other obscure words.
Granted, these are far rarer in the major outlets. (Unless you’re checking out r/crossword or reading Rex Parker’s blog, where they find so-called crossword indignities by the dozens. Good lord.)
But in reality, the vast majority of crossword venues won’t publish puzzles so undermined by careless choices.
Yeah, you noticed I didn’t say “all crossword venues.”
This unfortunate grid was published by Vox, but it was later deleted, as reported on Twitter by constructor Evan Birnholz:
Evan is an avid follower of the Vox crossword, but not because he’s a fan. No, Evan has been dunking on the Vox crossword for what feels like forever. He’s not doing it to make his own puzzles look better by comparison; as a top-flight constructor, he doesn’t need to.
His criticisms are never unfair or mean-spirited; on the contrary, they’re founded in trying to make the puzzle better by pointing out poor choices.
They’re also founded in defending the work of fellow constructors. Evan’s keen eye has caught more than a few questionable examples of clues that seem to have been pilfered wholesale or altered slightly by Vox constructors.
Now, the first puzzle I posted was silly. Sure, it made the crossword nigh-unsolvable, but there’s no malice there. The second puzzle, the one with the unpleasant pattern, doesn’t deserve the same benefit of the doubt. It was a poor choice, and a puzzle that never should have made it to solvers.
But as for stolen clues, that’s something else entirely. If that’s what is happening here — and Evan makes a fairly compelling case — that’s not just a crime against crosswords, it’s a crime against fellow constructors. It’s a sign of disrespect.
I love shouting out smart clues by constructors, not only so other people can enjoy the wit and wordplay, but so that the right person gets the proper credit. The crossword community is a brilliant group of people; they’re clever and hardworking and constantly innovating.
And it sucks to see some members of the community take advantage of others. It hurts the community as a whole, far more than any bad cropping of a puzzle ever could.
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I know the last few months have been hard for a lot of people. But it’s also been inspiring to see communities rally and work together, even while social distancing, to take care of each other. And loads of creative folks out there have been raising money for charity in clever and entertaining ways.
One of the biggest annual fundraisers is Red Nose Day, a yearly international event dedicated to eradicating child poverty. There are often special TV events tied into the Red Nose Day, and this year was no exception.
NBC employed a more puzzly route than most participating networks, as they presented an hour-long show dedicated to a celebrity-filled escape room.
Musician and actor Jack Black hosted, serving as the exuberant and maniacal gamemaster for the event. Ben Stiller, Adam Scott, Courteney Cox, and Lisa Kudrow were the celebrity players, and they had one hour to escape Jack’s series of rooms. For each puzzle they successfully solved, they would earn $15,000 in charitable donations from the event’s sponsor, M&Ms.
Jack explained the rules, and then informed them that they were allowed three hints to help them solve the puzzles. Each hint was represented by a red clown nose, the official symbol of Red Nose Day.
You can watch the entire special video below, or continue reading for a recap of the show and a breakdown of each puzzle:
RECAP
The celebs were escorted into an elevator and sent on their way. The team immediately started trying to figure out how to escape.
But the elevator wasn’t a puzzle room. Jack was just messing with them, sending the elevator up and down before opening it.
The group’s first actual challenge was an 80’s themed room, which contained not only numerous references to the decade (posters, movies, decor, etc.), but references to each actor’s career to serve as a distraction. Jack Black informed the audience of two key locations to pay attention to — a photo wall and the table with pizza on it — but didn’t explain the actual puzzles.
Courteney Cox stumbled upon a clue — a recorded message from Jennifer Lopez — that sent the celebs to their yearbooks on one of the shelves. Inside, they each found a different variation of a picture of people sitting on a couch, each one with more people in it.
Ben Stiller not only realized that they needed to be placed somewhere in order, but spotted where to do so.
The photo wall was a 3×4 grid, with 8 photos already placed and 4 open spaces. My first instinct would have been to place the photos in order of the rows (as if reading the photos in storyboard order from left to right, row to row).
But the photos had to be placed in column order from left to right, ignoring the rows. Courteney figured this out, and a couch folded out from the wall. Having successfully completed a puzzle, $15,000 was added to the team’s charity total.
By all sitting on the couch, they activated the TV, which aired a commercial for Rubik’s Cubes. Ben realized the pizza and tablecloth in the center of the room were covering a giant Rubik’s Cube. (Instead of being rotated and twisted, this one had removable magnetic blocks, which made solving it easier.)
The celebs immediately started checking the lockers, but they were all locked. While searching for their next puzzle, the celebs misinterpreted a banner that said “Let’s get loud” and started screaming.
It’s silly, but hey, in an escape room, sometimes you’ll try anything.
Ben spotted the clue on the floor, and Courteney realized that some of the floor tiles could be pulled up, revealing a picture puzzle to be assembled. They solved the puzzle — a picture of Jack in a mascot costume — and it opened the trophy case. That made their charity total rise to $45,000.
When Adam put the mascot head on, the lights dimmed, and he began looking for the next clue. Three of the celebs tried the mascot head on, but they couldn’t find anything. So they used one of their red noses and asked for a hint.
Jack intervened and told them to direct the mascot head’s vision toward the lockers. On certain lockers, the mascot’s head revealed in invisible ink the birthdays of the four players. After some difficulty, Adam realized they should open the lockers in birthday order, which caused all four to open. (Four puzzles completed, $60,000 earned.)
As the other players removed letterman jackets from the lockers, Courteney stepped into her locker (which was larger inside than the others) and Jack shut it behind her, seemingly locking her in. While trying to figure out how to free Courteney, they all decided to put their jackets on.
Jack directed the audience to pay attention to the janitor’s closet, the trophy case, and the cubby area for the next puzzle.
Courteney discovered her locker secretly led into the locked janitor’s closet. Meanwhile, the other players found prom tickets in their jackets.
Unable to free Courteney (the inside door handle came off in her hand), the celebs were flummoxed again, even trying to play rock-paper-scissors to open the door. (Bafflingly, Ben doesn’t know how to play.) They decided to ask for their second Red Nose hint. Jack pointed them toward the janitor’s to-do list, which has four tasks on it, three completed.
The unfinished task referenced the water fountain, and upon investigating it, Adam found the door handle for the janitor’s closet, freeing Courteney (and earning another $15,000).
Doing so activated the TV in the trophy case, and special guest “Principal” Kelly Clarkson provided a year-in-review that recounted the trophy won by each celeb, and suggested they hang up their jackets on the Wall of Fame (the cubby area).
The celebs missed the trophy clue and just hung their jackets up (not realizing that the trophies — first place, second place, third place, and fourth place — indicated the order of the jackets).
They tried birthday order again, then headed back to the trophy case, realized their mistake, and put the jackets in the correct order, earning another $15,000 for charity.
Part of the locker wall then opened up to reveal a room decorated for prom, complete with balloons and a space for couple/group photos. Jack directed viewers to pay attention to the clock on the wall, the photos of couples on the wall, and the photography setup.
Relying on the clue “it’s almost time for crown the king and queen,” they puzzled out that there are clocks on all of the photos, but it reads 9 PM for the crowned couple.
Courteney eventually realized there was a stepladder that would allow her to reach the clock, and rotated it until it read 9 PM. (Their charity total was now $105,000!)
Completing the puzzle activated the lights in the photo area. They posed for their picture, and when they snapped it, the balloon wall burst, revealing a gym decorated for prom. (It also scared the daylights out of them, which made for a great prom photo.)
Jack then fully explained the next puzzle to the audience, as the celebs had to match the images on their prom tickets to certain champagne bottles (filled with M&Ms) on the refreshments table, which would then point them to particular light-up squares on the electronic dance floor.
The celebs immediately zeroed in on the symbols on the champagne bottles, but didn’t know what to do with them. Jack taunted them, hoping to goad them into using their third and final hint, until Courteney spotted the matching symbol on her prom ticket.
Now finally pairing up bottles of M&M champagne, Courteney again figured out that the colors of each pair of bottles should combine to match the color of the podium they’re placed on. It’s a pretty impressive bit of puzzling, I must admit.
Each time they placed a pair of bottles correctly, part of the dance floor lit up.
Unfortunately, they confused the colors required to make pink with the colors needed to make orange, which slowed them down. Fixing their mistake and completing the puzzle, they ran to the dance floor with another $15,000 for charity.
The dance floor was a 4×4 grid, with each player standing in a different colored square in the bottom row. As the dance floor lit up in a sequential pattern of lights, the team realized they were playing a Simon-style game where they had to step forward in a certain order to match the pattern of colored lights displayed on the floor.
There were three rounds of the game. The first (and simplest) required a single step each onto the second row. The second required two steps (meaning eight total moves in order), and third required three steps (meaning a more complicated twelve-step order).
Once they sorted out their timing issues in the first round, they flew through the second and third rounds, solving the puzzle and earning another $15,000.
Jack then instructed the group to go onstage and sing their way out of the room as their final challenge. He noted they only had 9 and a half minutes left to escape.
A video wall across the room activated, and Adam and Mike, the two remaining Beastie Boys, wished them luck. When Jack started playing guitar over the intercom, Ben recognized the song as “(You Gotta) Fight For Your Right (to Party),” which they’d have to sing karaoke-style to escape.
But Lisa didn’t know the song, and she consistently botched the rhythm on each of her turns. Thankfully, that didn’t hinder the group too much, and after being startled one last time (with victory confetti), they escaped the prom with a total $150,000 for charity, and a little over 6 minutes to spare.
Honestly, as a fan of escape rooms, I really enjoyed this. It’s a great — if highly budgeted — example of this puzzle genre, and a strong introduction for anyone who has never tried them.
The puzzles ranged from simple to moderately hard, but for the most part were fairly intuitive. Also, while it’s embarrassing in the moment to try silly things and draw dumb conclusions while trying to solve puzzles, it’s also very entertaining to watch someone else do the same.
All in all, it was a fun event hosted for a great cause, and the four celebrity players (plus gamemaster Jack) made an engaging cast of characters. The little interviews interspersed throughout also added a lot. (Plus, at the end, we found out Courteney loves escape rooms, which explains her mad puzzle skills.)
If you’d like to contribute to the fine charity work Red Nose Day represents, please click here for more details.
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PuzzCulture 