Riddler - Solutions to Castles Puzzle: castle-solutions-3.csv
Data license: CC Attribution 4.0 License · Data source: fivethirtyeight/data on GitHub · About: simonw/fivethirtyeight-datasette
28 rows where Castle 2 = 7
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Suggested facets: Castle 1, Castle 3, Castle 4, Castle 5, Castle 6, Castle 7, Castle 8, Castle 9, Castle 10
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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87 | 87 | 2 | 7 | 2 | 2 | 13 | 18 | 23 | 29 | 2 | 2 | I wanted to get 28/55 points by committing to castles 8,7,6,5 and 2. I deployed these troops to help obtain 8 most frequently and 2 the least. I deployed 2 troops on each other castle to not allow for my enemies to get an easy 1-0 victory on any castle. If I can win one or two of those, that would be great |
255 | 255 | 4 | 7 | 5 | 21 | 21 | 12 | 20 | 7 | 3 | 0 | Took average of top 5 winners from first battle, average of top 5 winners from second, and guessed the trend of the top 5 from this battle would look like [0, 0, 0, 15, 16, 0, 0, 0, 39, 30]. Used evolutionary machine learning to find a strategy that would consistently give highest scores against slight variations on the predicted opponent strategy. |
324 | 324 | 5 | 7 | 8 | 10 | 15 | 25 | 30 | 0 | 0 | 0 | Willing to concede three castles with most points in hopes of winning all others (28 of 55 possible points). Assigning most soldiers to those with most points among the group that I was aiming to win. |
337 | 337 | 5 | 7 | 8 | 10 | 15 | 20 | 26 | 3 | 3 | 3 | Try to win 1-7, and sneak a few victories over 8-10. |
350 | 350 | 7 | 7 | 7 | 13 | 13 | 7 | 11 | 11 | 11 | 13 | |
376 | 376 | 6 | 7 | 9 | 12 | 15 | 18 | 23 | 3 | 3 | 4 | My strategy does very well against the first iteration of the game, and is hit-or-miss against the second. I would guess that different people will emphasize different iterations in their thinking, so I came up with a plan that does reasonably well against both and very well against anyone who reverts to the thinking of the first iteration. |
381 | 381 | 0 | 7 | 0 | 8 | 15 | 0 | 1 | 32 | 32 | 5 | I'm going for 2,4,5,8,&9 = 28 for the win... However... if someone is really going after 8 and 9 too, my 5 soldiers on 10 will hopefully be enough to carry the day. |
384 | 384 | 3 | 7 | 2 | 13 | 2 | 19 | 22 | 25 | 3 | 4 | I wanted to aim for what I hoped was a less conventional 1-2-4-6-7-8 win, with enough scouts at the others to swing a few battles. |
392 | 392 | 5 | 7 | 9 | 3 | 8 | 5 | 27 | 31 | 2 | 3 | |
421 | 421 | 5 | 7 | 9 | 13 | 1 | 16 | 16 | 17 | 15 | 1 | Trying the maximize the chance of at least winning 28 points. |
425 | 425 | 1 | 7 | 1 | 1 | 13 | 17 | 22 | 36 | 1 | 1 | At least 1 soldier at every castle to take easy points from undefended castles, but mainly focusing on castles 8,7,6,5, and 2 which yield enough points on their own to win a battle with half the points + .5 |
528 | 528 | 1 | 7 | 1 | 1 | 18 | 16 | 15 | 29 | 5 | 7 | Used the first two deployments to try and create an optimal strategy that does well against both. Potato |
533 | 533 | 4 | 7 | 10 | 14 | 18 | 22 | 25 | 0 | 0 | 0 | Get 28pts by focusing on the less valuable castles |
633 | 633 | 4 | 7 | 10 | 14 | 17 | 22 | 26 | 0 | 0 | 0 | Distributed proportionally-ish on the buckets (hopefully) most likely to get to 28 |
654 | 654 | 1 | 7 | 1 | 1 | 14 | 18 | 21 | 33 | 2 | 2 | Similar strategy to previous winners, adjusted numbers slightly for some variation |
720 | 720 | 0 | 7 | 0 | 14 | 0 | 21 | 25 | 0 | 33 | 0 | I considered strategies which are most efficient in usage of troops (ie. trying to get exactly 28 points) which would allow for ~3.57 troops per point value of the castle. Then I considered rounding error on the troops deployed - if others are also using 28-point strategies, then the best of them would be those that used the castles with small negative rounding errors. (ie. Castle 2 asks for ~7.14 troops but would be satisfied with 7). So I pick castle 2,4,6,7,&9 which leaves me with one leftover troop - I think Castle 9 might be the most competitive among 28-point strategies, so I drop the extra troop there. |
731 | 731 | 0 | 7 | 0 | 0 | 0 | 0 | 25 | 0 | 32 | 36 | |
734 | 734 | 6 | 7 | 9 | 12 | 16 | 21 | 26 | 1 | 1 | 1 | Total of 55 VP to be won, and a player who wins the top 4 castles wins the game. Some will push really hard to win the top 4. Others will realize this and try to scoop up the low VP castles cheaply while still competing for some of the top 4. Honestly that's pretty much what I'm doing too, but rather than competing for the top 4, the idea is to scoop up the bottom 7, while tossing a bone to the top 3 castles to hopefully outdo anyone who is using a similar bottom-up strategy. The idea is that, while most people will invest a lot into the top castles (because they are valuable and because they expect others to do the same), many will not invest much into the bottom castles. This makes them (hopefully) cheap to obtain, and allows a pretty hefty force to go to castle 7 to (again, hopefully) outdo those who want castle 7, but who value it 4th most. |
752 | 752 | 5 | 7 | 10 | 12 | 15 | 17 | 31 | 1 | 1 | 1 | I wanted to guarantee victory on the first 7 castles. Briefly looking at past data, I estimated 28 victory points would be the number to aim for. |
826 | 826 | 2 | 7 | 2 | 7 | 7 | 19 | 7 | 19 | 7 | 23 | No even numbers. Only choose every second castle for real winning. Take a few to the rest to win against zeros. |
912 | 912 | 3 | 7 | 10 | 14 | 18 | 22 | 26 | 0 | 0 | 0 | I aimed to win 28 points (minimum for a simple majority out of 55), and targeted the lowest value castles to reach a 28-point total while avoiding committing troops to the high-value targets. My goal was to pay just over 3 troops per point. |
913 | 913 | 0 | 7 | 1 | 0 | 0 | 1 | 28 | 1 | 33 | 29 | I took one of the better performing solutions from last simulation that seemed to work well against the other top solutions and tweaked it slightly. |
959 | 959 | 2 | 7 | 6 | 8 | 3 | 19 | 0 | 21 | 25 | 9 | I set up a simulation that would generate entirely random deployments for my team. Then, I had them fight 100 battles against an enemy that placed their somewhat randomly (not entirely random like my deployments, but weighted more towards deploying more at higher castles). This distribution was the best of 10,000 random deployments. |
961 | 961 | 4 | 7 | 9 | 10 | 15 | 20 | 0 | 35 | 0 | 0 | Since I figured most would go for the large numbered castles, I decided not to contest those, instead choosing to go with a more conservative strategy in which I compiled that lower numbers to form a small majority. |
970 | 970 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 1 | 3 | The last two time people won with a more focused approach on just a couple castles. I think enough people will try and copy that so, a spread out approach might work. Or not and I will loss terribly. |
998 | 998 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 37 | Massing at castle 10 takes it out of the equation (against most stratagies). This means only 18 points needed out of the remaining 45 points. Best strategy is to equally distribute so as to win the castles less protected by the opponents strategy to get over the top. |
1103 | 1103 | 4 | 7 | 9 | 15 | 21 | 0 | 0 | 0 | 27 | 17 | minimize cost/point based on previous responses |
1178 | 1178 | 0 | 7 | 10 | 13 | 3 | 4 | 5 | 5 | 30 | 23 | This was not an elegant method, but I figure there's 55 points available. So I need to try and win 28 to win. So if you look at troops deployed per point of castle, the smallest way to get to 28 is to win the 10, 9, 2, 3, and 4 castles which had on average just 42.5 troops deployed to them. I can take the average number of troops deployed, double it, and then place 5 troops each at the 8, 7, and 6 castles which should win one or more of them if my opponent is similarly taking my strategy. Personally, I don't like the idea of giving up the 5 point castle without any troops, so instead I'm actually going to pull one troop from 6 and 2 from castle 4 (which still has 13, good for 5.5 over its average). |
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CREATE TABLE "riddler-castles/castle-solutions-3" ( "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 );