Riddler - Solutions to Castles Puzzle: castle-solutions-2.csv
Data license: CC Attribution 4.0 License · Data source: fivethirtyeight/data on GitHub · About: simonw/fivethirtyeight-datasette
902 rows sorted by Castle 3
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Suggested facets: Castle 1, Castle 2, Castle 3, Castle 4
Link | rowid | Castle 1 | Castle 2 | Castle 3 ▼ | Castle 4 | Castle 5 | Castle 6 | Castle 7 | Castle 8 | Castle 9 | Castle 10 | Why did you choose your troop deployment? |
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3 | 3 | 0 | 0 | 0 | 15 | 19 | 1 | 1 | 1 | 32 | 31 | Previous winner won 84%. Took the 90%ile of the previous distribution and subtracted the optimal even distribution of 100 soldiers/28 points. Found best values of 4/5/9/10, and matched those number. Added a couple to the lower numbers. Used the rest to spread between the others with 1 soldier |
5 | 5 | 0 | 0 | 0 | 16 | 21 | 0 | 0 | 0 | 36 | 27 | Near optimal integer program vs previous round: beats 1068 of them. |
7 | 7 | 0 | 0 | 0 | 16 | 21 | 0 | 0 | 0 | 31 | 32 | 28 to win. Looked like castles 4,5,9,10 got less troops allocated to them per value than other spots last go around. Didn't bother putting troops anywhere else. Also wanted to be one greater than round numbers like 15 or 30. |
8 | 8 | 0 | 8 | 0 | 0 | 0 | 1 | 28 | 1 | 33 | 29 | My approach: let `S` be all the strategies available, initialized to the strategies posted on github. Use simulated annealing to find the strategy that ~maximises `P(winning | S)`, and then add that strategy to `S` and repeat. Eventually we will find a strategy that is "good" against the empirical strategies and other optimal strategies. |
10 | 10 | 6 | 0 | 0 | 0 | 0 | 1 | 2 | 33 | 33 | 25 | Against most opponents, I am trying to win the 10/9/8/1 castles. But there are some strategies that try to do the same, and I attack them on a different front. I don't compete against them for the 10, but trump their assumed zeros on the 7 and 6 (also trumping the guy with my idea with a 2 on the 7). Even if I lose the 9 vs such a strategy I get 28 points if I win the 876 and 1 (tying the rest with 0). |
14 | 14 | 0 | 0 | 0 | 16 | 16 | 2 | 2 | 2 | 31 | 31 | Focus on 4/5/9/10 to reach 28 points and avoiding the likely heavy competition at 6-8. 31 creeps above the round 30s, 16 creeps above the round 15s and beats out those who are evenly spreading troops out amongst 1-7 and ignoring 8-10. 2 in 6-8 for possible ties or wins over 0s and 1s. |
18 | 18 | 0 | 0 | 0 | 17 | 17 | 0 | 0 | 0 | 30 | 36 | Variation on the heavily commit to undervalued top castles, try to steal two smaller ones, and ignore everywhere else. Went for 4 and 5 rather than 6 and 3 or 7 and 2, because people during last battle really committed to 6, 7, and 8 |
19 | 19 | 0 | 8 | 0 | 0 | 0 | 0 | 28 | 0 | 32 | 32 | Gambit strategy that preys on anyone who uses balanced troop distribution. This would have failed in the first iteration of the game, but I predict the metagame shifts towards more normal-looking strategies which will get beaten by this one. |
20 | 20 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 38 | 32 | 24 | Out of 55 total points, you only need 28 to win, so let's go all in and see what happens! The way to do this with the fewest number of castles is by winning castles 10, 9, 8,and 1. We'll start by doubling the mean allocation from the previous battle, giving 22 soldiers to castle #10, 32 to #9, 38 to #8, and 6 to #1. This leaves 2 soldiers left, which I'll additionally allocate to castle #10 (because I randomly feel people will be more aggressive on that number based on past results). |
21 | 21 | 0 | 0 | 0 | 0 | 22 | 23 | 28 | 0 | 0 | 27 | This setup beat 1071 of the 1387 past strategies (found by integer programming) |
24 | 24 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 32 | 32 | 27 | 10+9+8+1=28 |
29 | 29 | 0 | 0 | 0 | 15 | 18 | 1 | 1 | 1 | 26 | 38 | Mostly random |
44 | 44 | 0 | 0 | 0 | 0 | 19 | 24 | 27 | 0 | 0 | 30 | Focus on smallest number of castles that can win. Also people seem to understaffed castle 10 so include this in lineup |
61 | 61 | 6 | 5 | 0 | 0 | 0 | 0 | 0 | 37 | 32 | 20 | heavy investment in most valuable positions, with some investment in least competitive battlefields |
88 | 88 | 0 | 0 | 0 | 0 | 16 | 22 | 0 | 0 | 28 | 34 | need a total of 28 to win a battle. concentration of forces into a few strong holds and abandon all others. this will be clearly fail against a more balanced strategy if I loose castle 6 or 5 (assumption is I would win 10 and 9 against a balanced strategy). a tie in castle 5 with wins in the other 3 leads to an overall tie. I thought of adding more to 5 & 6 - even to the point of completely balancing across the 4 but I think that would be a risk against anyone using a strategy similar to mine. it's really an all or nothing approach. curious so see what happens. |
126 | 126 | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 31 | 31 | 31 | It's a simple all or nothing assault. The goal is to directly seize the 28 points needed to win. The 10, 9, 8, and 1 castles do just this. Contesting any other fortress distracts from this goal. The strategy is designed to overwhelm balanced assaults on the various castles. |
127 | 127 | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 31 | 31 | 31 | The total number of points is 55, so a player needs more than 27.5 points to win. From there, I decided to minimize the number of castles that must be conquered (although that strategy runs contrary to what the previous winner did) in order to maximize the number of troops that can be sent to each one. Using the previous contest's distribution, I (not very rigorously) determined that I would only send 7 troops to Castle 1. The resulting occurrence of sending 31 troops to each remaining castle was a happy accident (although, I wanted to divide them up as evenly as possible; if I lose one castle, I almost definitely lose, so in a sense they should all be weighted equally. However, the opponent might choose to send troops based more strictly on the proportion of points that each castle offers, in which case I would have to re-evaluate my divisions). |
128 | 128 | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 31 | 31 | 31 | Win all my castles with troops. |
129 | 129 | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 31 | 31 | 31 | Win the fewest number of castles needed by loading them up with troops. |
138 | 138 | 0 | 0 | 0 | 6 | 6 | 8 | 32 | 8 | 32 | 8 | Modify from one of the best sample |
144 | 144 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 31 | 31 | 32 | This is sparta |
145 | 145 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 31 | 31 | 32 | Only need a few victories. |
217 | 217 | 0 | 0 | 0 | 11 | 11 | 17 | 21 | 18 | 11 | 11 | Fight for the big points. |
242 | 242 | 10 | 0 | 0 | 0 | 0 | 0 | 0 | 30 | 30 | 30 | I don't need big wins. All I need is 28 points. I figured that I would be able to win the 1-point castle most of the time with 10 troops there and then hope that most people won't be sending more than 30 troops anywhere. |
243 | 243 | 10 | 0 | 0 | 0 | 0 | 0 | 0 | 30 | 30 | 30 | With the caveat that deploying 30 troops for the biggest three is very unlikely, I should guarantee myself 27 points (which is just under half available). I only need to win just one more point to triumph hence deploy the remaining to castle 1 (although there may be some game theory that in the event of others deploying this strategy I should deploy to castle 2 or 3 to take the win over them also). |
246 | 246 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 28 | 32 | 35 | I am trying to use the most efficient way to 28 points (minimum needed to win) assuming that most players will distribute their troops to more castles. The fastest way is to win castles 10, 9, 8, and 1. I've distributed my troops proportionally to their value. |
260 | 260 | 0 | 0 | 0 | 1 | 12 | 21 | 3 | 32 | 27 | 4 | best distribution based on last round's submissions (as far as i can tell). fingers crossed for lots of resubmissions |
265 | 265 | 12 | 0 | 0 | 0 | 0 | 0 | 0 | 30 | 29 | 29 | Need 27 points to win. Target the fancy castles hoping people follow winners strategy from last time. |
275 | 275 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 32 | 32 | 33 | I need to win 28 points, and I'm anticipating heavier resistance at the higher numbered castles. |
278 | 278 | 0 | 0 | 0 | 0 | 16 | 16 | 2 | 31 | 4 | 31 | 9,8,6,5 is the best deployment to get to only 4 castles but this swaps my 9 and 10 castle deployments because people seem to think "everyone is going for castle 10, so no one goes for it. So I think it is worth a shot this way too. Divisible by 5s seem to get a lot of play so I went one above them. Tolkens in 9 and 7 as backups for when one of my main 4 castle battles fail. |
282 | 282 | 12 | 0 | 0 | 0 | 0 | 0 | 0 | 29 | 29 | 30 | The top 3 castle account for 49% of the points so I decided to hit them hard. The 12 troops to castle 1 should be an easy win and put the total beyond 50%. |
307 | 307 | 0 | 0 | 0 | 0 | 16 | 16 | 2 | 31 | 31 | 4 | I focused on 9,8,6,5 as that is the fewest castles to get to 28 electoral college votes, umm... err, I mean victory points. I also wanted a few backup chances on anyone going zeros on castle 10 and 7 and there seemed to be a slight spike on troop allotments divisible by 5 so I went one above that to weed out the lazy commanders |
311 | 311 | 0 | 0 | 0 | 0 | 0 | 10 | 30 | 35 | 10 | 15 | Tried to beat last year's winner |
328 | 328 | 0 | 0 | 0 | 0 | 17 | 22 | 23 | 0 | 0 | 38 | Try to hit 28 by winning on 4 numbers. |
333 | 333 | 0 | 0 | 0 | 0 | 18 | 21 | 25 | 0 | 0 | 36 | Sounds good |
366 | 366 | 5 | 5 | 0 | 0 | 0 | 0 | 0 | 30 | 30 | 30 | Banking on people neglecting the highest point castles |
377 | 377 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 51 | 24 | 19 | Based exclusively off the results in the prior round. |
382 | 382 | 5 | 7 | 0 | 0 | 0 | 0 | 22 | 22 | 22 | 22 | Top 4 castle get all the troops, higher than 20 deployment of the higher points castles to beat anyone else using my system, and another one added to beat those following my system with only one iteration. No point wasting troops on lower point castles, leftovers given to them to maybe snag a few points |
385 | 385 | 2 | 3 | 0 | 4 | 0 | 19 | 21 | 0 | 25 | 26 | basically winged it, with some sacrificial 0s and some minor deployments to steal some weak castles. |
387 | 387 | 0 | 0 | 0 | 0 | 17 | 20 | 2 | 27 | 31 | 3 | Targeting an exact win by 28 victory points, so chose a rather arbitrary set of four numbers which give this sum: 5,6,8,9. Decided not to use any troops on castles 1-4 since winning one of them won't make up for a loss of one of my core targets, but did dedicate a handful to 7 and 10 since they can save me if my opponent leaves them defenseless. |
394 | 394 | 0 | 0 | 0 | 0 | 18 | 18 | 1 | 31 | 31 | 1 | Giving up on Castle 10 but still trying to go for the win with only 4 castles I can win with castles 5, 6, 8 and 9. Send more troops to 8 and 9 since those will be tougher battles. Then divert 2 troops to castles 7 and 10 just in case my opponent sent no troops to those castles since those are the most valuable of the castles I ignored. |
397 | 397 | 0 | 0 | 0 | 0 | 17 | 19 | 26 | 0 | 0 | 38 | Win castle 10, and what appeared to me (after looking at last round stats) to be the least contested way to get 18 more points. Know that I lose to outliers who beat me at castle 10 (and realize an overcorrection from players who realize 10 was undercontested last round may be coming) and won't win many matches if I tie or lose in the middle, but think its okay to concede those rather than dilute strength with token opposition in castles I don't care about |
407 | 407 | 0 | 0 | 0 | 0 | 5 | 30 | 10 | 40 | 5 | 10 | idk |
416 | 416 | 0 | 0 | 0 | 0 | 15 | 16 | 2 | 31 | 33 | 3 | I'm going for 9+8+6+5, and hoping to pick off 7 and 10 from people who leave those empty or nearly empty. I figure the bottom 4 castles are unlikely to be decisive, so I will abandon those. |
419 | 419 | 0 | 0 | 0 | 19 | 0 | 0 | 27 | 27 | 27 | 0 | arad.mor@gmail.com |
424 | 424 | 4 | 4 | 0 | 0 | 0 | 0 | 0 | 27 | 31 | 34 | Win 8, 9, and 10 outright and either 1 or 2. This wins me 28 or 29 out of 55. Hope that others put their troops in the middle. |
426 | 426 | 3 | 6 | 0 | 3 | 11 | 11 | 18 | 13 | 17 | 18 | Because the prophet muhammad speaks through me |
427 | 427 | 0 | 0 | 0 | 0 | 20 | 25 | 0 | 25 | 30 | 0 | I wanted to consolidate my troops on the lowest possible combination to reach 28 pts. |
431 | 431 | 7 | 13 | 0 | 15 | 20 | 20 | 0 | 0 | 0 | 25 | To win, you only need to get 28 points, so I focused on hitting that number exactly and put no additional troops on excess castles. I selected 9, 8, 7 and 3 as the castles I would intentionally forfeit, and sent troops to secure every other castle. After making that decision, every castle is equally important in order to win a battle, so I distributed my points with a number hopefully conservative enough to beat out a large number of opponents. |
451 | 451 | 0 | 0 | 0 | 12 | 0 | 0 | 26 | 28 | 30 | 4 | San Jose |
460 | 460 | 7 | 8 | 0 | 0 | 0 | 0 | 0 | 25 | 30 | 30 | 28 points wins |
468 | 468 | 2 | 2 | 0 | 8 | 5 | 19 | 14 | 20 | 14 | 16 | It seemed robust against a variety of counter strategies. |
481 | 481 | 0 | 0 | 0 | 6 | 4 | 4 | 25 | 25 | 11 | 25 | Maximizing opportunities to get 28 points |
499 | 499 | 0 | 0 | 0 | 14 | 2 | 0 | 26 | 26 | 31 | 1 | I already submitted one entry based on "gut". I thought I should do something more method-oriented. This time, I wrote a genetic algorithm as follows: I chose 1000 "random" configurations, each constructed by placing troops 1-by-1, with the chance that a troop goes to a castle proportional to 1+n with n the number already chosen to go to that castle ("Bose stimulation" so the occupancies behave as in a bosonic system of 100 particles in 10 wells). Then I repeatedly held a tournament between my 1000 configurations, recording the best one and keeping the top half. Each of the top half was kept once exactly and once "mutated" by randomly removing 1 soldier and putting him back in with the same (1+n) method, 100 times. These were then the configurations used in the next round of the algorithm. After 1000 tournaments, I had 1000 tournament winners. I played a final tournament between these winning strategies, and submit the one which won that tournament. The winners of "normal" tournaments are mostly of the form, with a few castles heavily fortified and several with less fortification. But the winner of the "tournament of champions" is always of the form, with 28 points worth of castles heavily attacked and a few stray troops sent to other castles. So this seems to be a strategy to use when the other strategies have been "battle tested" to at least some extent. |
505 | 505 | 0 | 0 | 0 | 20 | 2 | 2 | 23 | 25 | 26 | 2 | The goal is to just get to 28 points. The shortest route there involves 4 castles (even 10, 9, 8 falls short), and the easiest way to get there is by snagging the 4 while taking 7, 8, and 9 (avoids taking the 10 where there are many troops from last competition's data). Thus, the majority of the troops (94) will go to winning those four, while the remaining ones will be split evenly among the 5, 6, and 10 castles just in case we lose one of the big ones and the opponent leaves these castles open. The split among the four I need to win should have the most troops in the most competitive castles. Since I need to win all of them to win, I'll put 20 in 4 because that number is big enough to stop any strategy that involves stacking on the bottom value castles. Then, I'll gradually increase troops as competitiveness increases. |
506 | 506 | 0 | 0 | 0 | 0 | 15 | 15 | 0 | 35 | 35 | 0 | Go big or go home!! I need those four castles to win, so I'm maximizing my soldiers there. |
515 | 515 | 0 | 0 | 0 | 1 | 7 | 20 | 3 | 13 | 28 | 28 | I chose this deployment because it gives me a high chance of winning. It is a lovely solution mathematically. Also, because I plan on getting a shout out, I would like to say "I love you" to my mother, Debbie Firestone in Tulsa, Oklahoma. Hi Mom! |
516 | 516 | 0 | 0 | 0 | 0 | 25 | 25 | 0 | 25 | 25 | 0 | Maximise each soldiers worth so I have no wasted soliders in any battle that the match does not depend on. Maximise my force where it is needed. |
518 | 518 | 0 | 0 | 0 | 0 | 25 | 25 | 0 | 25 | 25 | 0 | Putting all my eggs in one basket (winning all 4)--ceding the rest. |
521 | 521 | 0 | 0 | 0 | 0 | 25 | 25 | 0 | 25 | 25 | 0 | I decided to go simple this time. If you win castle 9, 8, 6 and 5 you win so I am going all out for just those castles |
522 | 522 | 0 | 0 | 0 | 0 | 25 | 25 | 0 | 25 | 25 | 0 | Somewhat-randomized castle selection in the butter zone (adding to 28) |
538 | 538 | 0 | 0 | 0 | 15 | 0 | 0 | 20 | 32 | 33 | 0 | Forces marshaled on castles in hopes of winning 28 points |
553 | 553 | 0 | 0 | 0 | 0 | 12 | 14 | 16 | 18 | 19 | 21 | It's so obvious it may beat the subtle ones. |
554 | 554 | 0 | 0 | 0 | 11 | 0 | 0 | 31 | 32 | 26 | 0 | There are 55 possible points, so you only need 28 to win. I put a bunch of soldiers at 7, 8, and 9 to total 24 points. I put the remaining 11 soldiers at 4, because I think my opponent won't put many soldiers there. I also made sure to put 1 or 2 more than a round number everywhere I put a soldier. |
558 | 558 | 0 | 0 | 0 | 0 | 16 | 16 | 17 | 17 | 3 | 31 | I'd like to pretend that there is some really sound reasoning behind this strategy but there honestly isn't. Mostly, the strategy hinges on if I can win Castle 10, as well as at least 3 of the 5 remaining castles that I've deployed soldiers to, that puts me at at least 28 points. |
588 | 588 | 0 | 0 | 0 | 0 | 3 | 8 | 18 | 28 | 31 | 12 | We chose the number of troops randomly starting with castle 10. |
598 | 598 | 0 | 0 | 0 | 0 | 0 | 0 | 25 | 25 | 25 | 25 | In round 1, the higher castles were taken by much lower #s of troops. I'm going for the big ones. |
602 | 602 | 0 | 1 | 0 | 1 | 7 | 12 | 12 | 6 | 26 | 35 | I first created a randomized 2000 king tournament. I submitted the winner of that tournament but then realized an error in my ways, the randomized version created some deployments that would not be used by anyone. So I culled 50% of the deployments and re-ran the tournament, then culled 50% again etc. Until there was one clear champion. |
612 | 612 | 0 | 0 | 0 | 0 | 0 | 25 | 25 | 25 | 25 | 0 | To win I just need the majority of points so if I 9, 8, 7, 6 castles win the battle. |
615 | 615 | 0 | 0 | 0 | 11 | 0 | 0 | 25 | 31 | 32 | 1 | Figure #10 is overvalued and #7 is undervalued, enough in #4 to beat even distributions, and 1 in #10 to beat those that abandon it. |
623 | 623 | 0 | 1 | 0 | 1 | 13 | 18 | 27 | 3 | 33 | 4 | Assuming that most people won't learn much from the prior submission data, wrote a genetic search trained by total wins against those submissions. This one won 1285 out of 1387. |
632 | 632 | 0 | 0 | 0 | 0 | 10 | 20 | 15 | 15 | 20 | 20 | No attempt at low numbers |
640 | 640 | 0 | 0 | 0 | 11 | 0 | 0 | 31 | 31 | 26 | 1 | There are 55 available points, so you only need 28 to win. I loaded up 7, 8, and 9 to get 24 then put the rest on 4 to total 28 (as well as 1 on 10 just in case I lose 7, 8, or 9). I also made sure to put 1 above a round number to beat anyone who put said round number. For example, I put 31 on 7 and 8 so I beat anyone that puts 30 on either. |
647 | 647 | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 30 | 25 | 20 | Last time I put a TON of thougth into it. But so did everyone, leading a lot of people to come up with clever strategies and many people not bothering to fight very hard for the highest value castles. So this time I flipped that on it's head. Nice and simple. Go for the highest value castles (and castle 1) so that my point total, if I win them all, is 28, the minimum necessary to win. |
650 | 650 | 0 | 0 | 0 | 10 | 0 | 0 | 0 | 30 | 30 | 30 | Have to win 28 VP, so go all in on the top 3 and then go for #4 as a random guess. |
663 | 663 | 0 | 0 | 0 | 7 | 11 | 21 | 22 | 31 | 4 | 4 | tested configurations against previous submissions data set |
674 | 674 | 7 | 0 | 0 | 5 | 0 | 15 | 24 | 19 | 14 | 16 | Took starting point of old, using simulation against those answers to create some possible responses, then created a response to those |
684 | 684 | 0 | 0 | 0 | 6 | 8 | 11 | 16 | 16 | 16 | 27 | I was able to distribute most troops to the castle that carry the highest percentages of the total points. By sacrificing the bottom three castles, I am trying to give myself a greater chance at winning the top castle, which I consider a swing "castle". As well, I still contribute points above the average amount for castles 4, 5, and 6 because they are worth 27% of the total points, and might swing battles for those who put all the soldiers in the top 4 castles. If I am able to split the top castle then I would be able to tie those matches. |
692 | 692 | 0 | 0 | 0 | 12 | 3 | 0 | 19 | 33 | 33 | 0 | Need 28 points- overwhelm 4 castles to achieve 28 points |
693 | 693 | 0 | 0 | 0 | 0 | 0 | 20 | 20 | 20 | 20 | 20 | Try to grab the first 6 castles, I will loose to the ones who will try to get the first four, but take a lot of other armies. |
698 | 698 | 0 | 0 | 0 | 0 | 0 | 20 | 20 | 25 | 35 | 0 | so I can win |
702 | 702 | 0 | 0 | 0 | 0 | 0 | 0 | 20 | 23 | 27 | 30 | because no-one did it last time and I am curious if people will repeat that |
714 | 714 | 0 | 0 | 0 | 0 | 0 | 18 | 19 | 20 | 21 | 22 | My brain is like a big bowl of soup: there's no real structure or purpose anywhere. |
727 | 727 | 0 | 0 | 0 | 10 | 0 | 0 | 30 | 30 | 30 | 0 | Get 28 |
737 | 737 | 0 | 0 | 0 | 0 | 0 | 0 | 20 | 20 | 30 | 30 | Big Baller Brand only goes for Big Points ( I know it's a terrible strategy... just work with me on this one...) |
749 | 749 | 0 | 0 | 0 | 0 | 10 | 18 | 21 | 24 | 27 | 0 | Forget the 10th and focus on 9 and below. |
751 | 751 | 0 | 0 | 0 | 0 | 0 | 40 | 10 | 10 | 30 | 10 | 6 = 3 + 2 + 1, so all shares go to that #. 9 = 5 +4, so same treatment for those. Then, the rest are just allocated as normal. Then as long as I win 2 of the 3 remaining battles of 7, 8, and 10, I would win. Bit of an oversimplification, but hey who knows... |
752 | 752 | 1 | 7 | 0 | 0 | 12 | 16 | 29 | 32 | 1 | 2 | You need 28 points. I expect most people to load up on castles 10 and 9, and then try to make up the rest on the lower value castles. The middle castles are likely to be the softest targets. I sent some troops to 10 and 9 in case someone else uses a similar strategy and does not go after either of those. |
753 | 753 | 0 | 0 | 0 | 0 | 15 | 15 | 15 | 25 | 30 | 0 | You need 23 points to win, and that means if we exclude ties, I need at least 3 castles. I assumed smaller castles would have fewer troops, and the smallest sequence that wins is 9-8-7. Because I would immediately lose if I were unable to secure any of the three, I elected to spread the troops over 5 and 6 too. |
763 | 763 | 0 | 0 | 0 | 5 | 12 | 13 | 16 | 22 | 32 | 0 | Maximize points. Assumes overload on Castle 10, but maximize down the ladder |
778 | 778 | 0 | 0 | 0 | 5 | 10 | 18 | 20 | 20 | 25 | 2 | Sacrificing castle ten, concentrating on castles 9 through 6. If I take them, I win. |
785 | 785 | 0 | 0 | 0 | 0 | 5 | 5 | 0 | 30 | 30 | 30 | To win |
802 | 802 | 0 | 0 | 0 | 0 | 18 | 18 | 20 | 20 | 24 | 0 | Strategery |
841 | 841 | 0 | 0 | 0 | 3 | 3 | 3 | 23 | 41 | 24 | 3 | Stuck with strategy of de-emphasizing castle 10. |
847 | 847 | 2 | 0 | 0 | 1 | 12 | 14 | 12 | 15 | 0 | 44 | I spent a while playing around with genetic algorithms, this one ended up as the winner in a big run. |
888 | 888 | 0 | 0 | 0 | 0 | 0 | 0 | 7 | 0 | 32 | 61 | Game theory is hard. |
896 | 896 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 100 | Because I am hoping nobody else would send 100 troops to castle ten, because they want to have stake in everything, or something else. They also wouldn't be stpid enough to take this calculated risk, like me. It is also hard to amass 10 victory points by a combination. |
897 | 897 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 100 | Just to see what happens |
901 | 901 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 100 | 0 | Someone will try going for 10, just sending all their troops there. Heck, many people may try that. I want to guarantee to get castle 9, and hopefully split it among fewer people. |
902 | 902 | 100 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | i am guaranteed one point |
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CREATE TABLE "riddler-castles/castle-solutions-2" ( "Castle 1" INTEGER, "Castle 2" INTEGER, "Castle 3" INTEGER, "Castle 4" INTEGER, "Castle 5" INTEGER, "Castle 6" INTEGER, "Castle 7" INTEGER, "Castle 8" INTEGER, "Castle 9" INTEGER, "Castle 10" INTEGER, "Why did you choose your troop deployment?" TEXT );