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
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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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1321 | 1321 | 1 | 0 | 0 | 0 | 0 | 0 | 10 | 27 | 29 | 33 | My focus was on getting 28 total victory points out of a possible 55, so I concentrated on 8, 9, 10, and winning 1 extra point on the "1" castle. |
1320 | 1320 | 0 | 0 | 3 | 3 | 16 | 6 | 16 | 21 | 4 | 31 | I know this is really late, but here is a serious entry. The code used to generate this is at https://pastebin.com/ieFeGQzN |
1319 | 1319 | 0 | 1 | 2 | 16 | 21 | 2 | 3 | 1 | 32 | 22 | I used the data from the previous two competitions and this was the highest win rate configuration I could find. |
1318 | 1318 | 0 | 0 | 0 | 18 | 18 | 2 | 2 | 2 | 34 | 24 | This strategy beat the previous top-5. |
1317 | 1317 | 1 | 4 | 1 | 8 | 1 | 13 | 15 | 17 | 19 | 21 | Adjust forces to prizes, sacrifice 2 castles to be slightly better elswhere |
1316 | 1316 | 1 | 2 | 8 | 16 | 16 | 5 | 14 | 15 | 18 | 5 | bi modal distribution seems optimal from previous battle royales |
1315 | 1315 | 4 | 6 | 9 | 11 | 16 | 18 | 0 | 0 | 0 | 36 | Trying to reach 28 points to win and looking at past deployments. Also keep a fairly constant point per soldier ( between 2.75 and 4) |
1314 | 1314 | 2 | 3 | 10 | 10 | 10 | 5 | 20 | 30 | 5 | 5 | Eh? |
1313 | 1313 | 2 | 1 | 1 | 1 | 1 | 13 | 22 | 34 | 24 | 1 | I wanted to have really high on either 8 or 9 for people wanting to win by going after the top 3. Then leave some to go after some castles that might have no troops. |
1312 | 1312 | 1 | 1 | 1 | 6 | 6 | 12 | 16 | 21 | 31 | 5 | Top heavy while giving up ten for most battles. |
1311 | 1311 | 3 | 3 | 7 | 4 | 4 | 24 | 5 | 34 | 8 | 8 | I spent way too long on this and I still hate my answer. |
1310 | 1310 | 2 | 4 | 6 | 9 | 0 | 3 | 3 | 21 | 24 | 28 | I chose something that held up well against different scenarios like previous winners and averages. |
1309 | 1309 | 1 | 2 | 4 | 10 | 21 | 12 | 26 | 16 | 4 | 4 | Contest everything, but don't commit heavy to the point-heavy (castles 9 & 10) obvious grab strategies that people are likely to employ (similar to the first round of the contest, but countered in round two with a lot of people choosing a 4,5,9,10 strategy). Deployment had to defeat/tie some of the default, non-strategic assignments (e.g., 10 everywhere, 25s in each 7-10, % assignment based on value). Castles 5 (main counter to round two strategies), 7 (main counter to round one strategies), and 8 (some round one strategies) can break a lot of opponent strategies so contesting them is where my main investment took place. It is a bit of a gamble to pick up stray points in low commit castles when my other investments aren't high enough to offset opponent high commits. |
1308 | 1308 | 1 | 1 | 1 | 5 | 5 | 15 | 16 | 1 | 24 | 31 | My approach: generate a bunch of random strategies with the requirement that they can beat the 'uniform' strategy of evenly deployed troops, then set them against each other to see which one wins out. I won't account for expected human choices, but I will allow the previous winners to be represented on the battle field to see how they do. My expectation is this will be close to a GTO approach in the sense that it will be hard for others to guess and exploit the strategy. On the other hand, since we'll be playing against a bunch of other humans, it wouldn't surprise me if I get killed by an exploitive strategy. FWIW, this field crushed my initial guess at a good strategy (focus on 10, 9, 6, 3 to get to 28 points). This deployment was based on results from a 60,000 random assortment. p.s. I know I'm late ... hope you find it in your heart to allow the entry anyway. p.p.s. Also happy to share my python code for this. |
1307 | 1307 | 2 | 2 | 3 | 5 | 5 | 8 | 10 | 15 | 20 | 30 | Guessing, I guess... |
1306 | 1306 | 0 | 1 | 2 | 16 | 21 | 2 | 3 | 1 | 32 | 22 | I built myself a fancy excel spreadsheet of all of the previous submissions, and then attempted to optimize against those. |
1305 | 1305 | 3 | 5 | 1 | 9 | 17 | 13 | 15 | 19 | 11 | 7 | Odd numbers between 1 and 19, centered on Castle 8 and distributed around it in descending order. |
1304 | 1304 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 26 | 26 | 27 | The top 3 castles are worth the same as the other 7, so I focused troops there and equally disbursed troops in the other 7 castles to pick up any that they didn't attack with much force. |
1303 | 1303 | 0 | 3 | 3 | 8 | 5 | 19 | 19 | 20 | 20 | 3 | Created two sets of the 1000 top results out of 1000 random arrays compared against themselves. Then compared the top performing array sets. The above was the best performing solution. Performed with SAS, using SQL and the datastep. Run time was about 20m. |
1302 | 1302 | 5 | 2 | 5 | 7 | 22 | 23 | 22 | 2 | 2 | 10 | |
1301 | 1301 | 1 | 1 | 1 | 7 | 10 | 10 | 20 | 0 | 20 | 30 | In order to win any game, a player only needs to score 28 points, so I tried to teach 28 with the fewest possible castles. But really I built a simulation and tested out a variety of strategies against a computer to see what I liked best. It really comes down to if I use the least used strategy that provides the most wins. Plus a little bit of razzle dazzle. Cheers. |
1300 | 1300 | 4 | 6 | 7 | 1 | 1 | 14 | 17 | 20 | 17 | 13 | Ran a bunch of simulations in Excel |
1299 | 1299 | 4 | 4 | 8 | 6 | 7 | 15 | 18 | 6 | 18 | 14 | Ran a bunch of simulations in Excel to pick the ideal strategy based on past results and then ran a final simulation designed to beat the "ideal" |
1298 | 1298 | 4 | 6 | 4 | 12 | 2 | 17 | 18 | 27 | 5 | 5 | I based my numbers on the 2017 distributions, hoping history would repeat and not a ton would pore over the results much. In that data set, there were a lot of clusters in the 1-4 range at the higher and lower castles, so my castles 1-3 and 9-10 all hovered at or around 5 troops to cover. In the middle castles, I figured I'd sacrifice one to put each of the rest in play. |
1297 | 1297 | 1 | 1 | 1 | 1 | 1 | 6 | 13 | 19 | 25 | 32 | I wanted to have at least one soldier for every castle. However, even if one were to win castles 1 through 5, that's only 27% of the total points. Castles 6-10 were incrementally weighted. |
1296 | 1296 | 0 | 1 | 5 | 10 | 5 | 4 | 15 | 10 | 25 | 25 | I used points per soldier from a previous round of battle, followed by a bit of semi-random assignment with a dash of "not trying to be too tricky about this because everyone else who reads this is smarter than I am anyway so I may as well go simple". |
1295 | 1295 | 1 | 0 | 0 | 26 | 1 | 1 | 26 | 26 | 17 | 2 | The simplest win is on 10/9/8/1. Two problems: it's already popular, and weak players over-defend Castle 10. I'll try to win on 9, 8, 7, and 4 instead. |
1294 | 1294 | 1 | 2 | 3 | 4 | 5 | 9 | 20 | 21 | 5 | 30 | |
1293 | 1293 | 2 | 2 | 3 | 5 | 5 | 7 | 8 | 26 | 26 | 16 | |
1292 | 1292 | 0 | 1 | 4 | 12 | 15 | 4 | 27 | 33 | 3 | 1 | I looked at prior distributions chosen by winners with my own strategy. I looked at prior winners and then determined I would be served well by leaving the less valuable castles because they aren't worth as many points and I put low amounts of soldiers at the more valuable castles thinking others may distribute many soldiers at those in an attempt to grab the higher point values. The wager basically assumes that allowing the lesser castles to go undefended and the more valuable cases to go undefended, that I would be able to grab more points in total by winning castle 4, 5, 7, and 8. In college I only took basic logic and I in no way stylize myself as a mathematician. Therefore, I treated this as a sort of a game of Risk or Stratego (games I love) to come to how I wanted to distribute my soldiers. |
1291 | 1291 | 2 | 0 | 5 | 10 | 0 | 0 | 24 | 24 | 35 | 0 | Trying to focus on getting 28 victory points while sacrificing the "10" assuming most people will want the big win. |
1290 | 1290 | 1 | 4 | 14 | 22 | 1 | 12 | 12 | 12 | 11 | 11 | Focused on beating the winners from first game, then adjusted to also beat winners from second game. Then adjusted again to effectively concede castel 5 and castle 1 to allow for greater margin at others. Only beats 9 of the 10 winners from last 2 times. |
1289 | 1289 | 3 | 5 | 8 | 10 | 13 | 3 | 24 | 26 | 4 | 4 | Random |
1288 | 1288 | 2 | 4 | 0 | 0 | 0 | 0 | 0 | 9 | 40 | 45 | Go nearly all in on the most valuable castles. Plus cheap wins on the least. |
1287 | 1287 | 0 | 1 | 1 | 13 | 1 | 19 | 2 | 31 | 2 | 30 | If I win 4,6,8, and 10 I will have just over half the points. My strategy goes about 50% higher than the mean on those four areas. The last two strategies have changed which values were highly targeted so I am hedging my bets against either previous strategy. I throw in a couple scouts on the odd castles so they aren't as easily won. |
1286 | 1286 | 2 | 1 | 3 | 7 | 10 | 14 | 19 | 22 | 19 | 3 | A little bit of this, a little bit of that. |
1285 | 1285 | 2 | 4 | 6 | 9 | 11 | 14 | 16 | 18 | 20 | 0 | Give away the "sexy" castle that others are likely to overpay to win and then allocate troops based on average available points per troop. |
1284 | 1284 | 0 | 1 | 4 | 10 | 5 | 15 | 25 | 10 | 0 | 30 | I'm guessing (hoping) that people will still (despite the data) skew away from over-committing to castle 10 and I'm sacrificing 9 and probably 8 to win there and hoping to compensate with a lot of smaller wins. |
1283 | 1283 | 1 | 2 | 0 | 0 | 17 | 20 | 25 | 35 | 0 | 0 | |
1282 | 1282 | 2 | 2 | 3 | 3 | 22 | 22 | 32 | 4 | 4 | 6 | Win the middle |
1281 | 1281 | 2 | 9 | 3 | 17 | 22 | 6 | 7 | 7 | 4 | 23 | |
1280 | 1280 | 2 | 2 | 2 | 2 | 2 | 10 | 25 | 25 | 25 | 5 | |
1279 | 1279 | 0 | 1 | 2 | 13 | 21 | 5 | 8 | 13 | 34 | 3 | f i b a g u c c i a e s t h e t i c |
1278 | 1278 | 1 | 1 | 0 | 3 | 3 | 22 | 2 | 32 | 33 | 3 | I figured this round would be a blend of the previous two. In particular, I anticipated a larger push towards committing resources to the 10 point castle. Knowing I need at least 23 points to win, I decided to heavily invest in castles 9, 8, and 6. |
1277 | 1277 | 1 | 2 | 3 | 12 | 18 | 21 | 18 | 12 | 10 | 3 | Try and hold 5-7, make efforts at 4, 8, & 9, small deployment at others to prevent single-soldier capture. |
1276 | 1276 | 6 | 1 | 1 | 1 | 1 | 0 | 0 | 30 | 30 | 30 | Go big or go home |
1275 | 1275 | 2 | 2 | 2 | 6 | 8 | 16 | 26 | 34 | 2 | 2 | Most people will target the higher numbers for good reason. So, if you allow the top two to be losses, then you can make up the ground in the middle by trying to guarantee wins there for cheaper. Many people will also commit 1 troop at minimum to every castle in order to get points for anyone who sends none. To overcome this, 2 troops were sent to each at minimum. If all castles with 2 troops are lost, the points for the other castles are still higher. |
1274 | 1274 | 0 | 15 | 5 | 0 | 15 | 20 | 20 | 25 | 0 | 0 | Distributing them where I don't think people will put them so as to get at least 27.5 points |
1273 | 1273 | 2 | 2 | 2 | 4 | 5 | 15 | 15 | 15 | 20 | 20 | previous solutions anchored expectations for lower troops at high value castles |
1272 | 1272 | 1 | 1 | 1 | 15 | 15 | 0 | 0 | 0 | 34 | 33 | I want to get to 28 points in the most efficient manner possible. Castles 9 and 10 have been undervalued, but I think their true value is around 35. Castles 6-8 are highly sought after and are best to avoid. Castles 4 and 5 may come more easily. I will take a large risk by essentially giving up the remaining Castles, but it may be worth it for the THRONE. |
1271 | 1271 | 1 | 1 | 4 | 6 | 16 | 17 | 19 | 7 | 7 | 22 | I tried to do something that would work well against previous strategies. |
1270 | 1270 | 2 | 2 | 2 | 2 | 2 | 22 | 30 | 30 | 4 | 4 | |
1269 | 1269 | 0 | 0 | 11 | 14 | 0 | 21 | 25 | 29 | 0 | 0 | I’ve narrowed down the gameplay to around 14 possibly optimal plays. This is one of them. There are 33 possible exactly 28points to win strategies. This one is 8-7-6-4-3. Allocated by relative castle value. Castle/28*100. Here’s the list of 9, allocate by taking castle/28*100: 10-9-6-3 10-9-5-4 10-8-7-3 10-8-6-4 10-7-6-5 9-8-7-4 9-8-6-5 10-6-5-4-3 8-7-6-4-3 The other 5 are semi suboptimal vs the 9 but forms the “rock,paper,scissor”: ExpectedValue: castle/55*100 EvenAcross: 10/castle Ultimate: castle/28*100+1 for castle 8,9,10 Lucky7: castle/28*100 for castles 1 to 7 Troll: 47,53 on castle 9 and 10 respectively. At least one of these strategies will do well depending on the market. And the market will shift around these strategies depending on the amount of trolldom. |
1268 | 1268 | 1 | 2 | 3 | 2 | 3 | 12 | 21 | 26 | 26 | 4 | Good chance to win 7,8,9 plus beating all the people that give up (0 or 1 army) on other castles. |
1267 | 1267 | 1 | 1 | 3 | 5 | 7 | 9 | 17 | 21 | 3 | 33 | stochastic approximation |
1266 | 1266 | 4 | 0 | 5 | 0 | 2 | 2 | 18 | 30 | 20 | 19 | Developed a troop deployment that beat 1386 out of 1387 of the castle-solutions.csv from two years ago. |
1265 | 1265 | 2 | 4 | 5 | 6 | 6 | 6 | 28 | 6 | 6 | 31 | ay81o |
1264 | 1264 | 1 | 1 | 1 | 1 | 1 | 1 | 3 | 27 | 30 | 34 | Proportional alignment based off points needed to win + at least 1 troop at every castle |
1263 | 1263 | 2 | 4 | 5 | 7 | 9 | 11 | 13 | 15 | 16 | 18 | The number of troops at each castle is roughly equal to the ratio of each castle's value relative to the total number of available points |
1262 | 1262 | 2 | 1 | 4 | 1 | 17 | 6 | 21 | 6 | 36 | 6 | |
1261 | 1261 | 1 | 1 | 1 | 1 | 20 | 20 | 24 | 1 | 1 | 30 | I need to get to 28. The minimum to get there is four castles. I want to pick the four that add to 28 and will be the least defended by my opponents. 10 is obvious, but for this reason may be overlooked by others, so I choose it. Ineed 18 more, so I pick 5,6,7. |
1260 | 1260 | 7 | 8 | 2 | 15 | 17 | 14 | 24 | 5 | 3 | 5 | I did a brute force excel simulation and this strategy did alright. It won ~most~ of its battles. |
1259 | 1259 | 0 | 0 | 0 | 0 | 0 | 0 | 12 | 12 | 12 | 64 | focused highly on the highest valued castles |
1258 | 1258 | 1 | 1 | 1 | 1 | 1 | 1 | 13 | 40 | 40 | 1 | 1 to every castle to ensure I capture any uncontested castle. Most people will likely focus on the highest value castles and you need 28 total points to win so castles 8/9/10 would do it and splitting troops 3 ways to grab those I would still take 8 and 9. |
1257 | 1257 | 1 | 1 | 11 | 0 | 0 | 0 | 23 | 28 | 0 | 36 | I chose 4 castles that I had to win and devoted most of my resources to them. In looking at the last winners, I didn't want to waste any resources on pricey castles I wasn't all in to win. On the other hand, if someone outbid my 3, I wanted to take the chance that they might have said nothing on 1 and 2. |
1256 | 1256 | 5 | 10 | 0 | 15 | 0 | 20 | 0 | 25 | 25 | 0 | I assumed that many would allocate more towards higher level castles so I allocated more there and allocated less as castles devaluated. |
1255 | 1255 | 3 | 4 | 8 | 15 | 18 | 23 | 29 | 0 | 0 | 0 | Only fight for enough castles to win |
1254 | 1254 | 2 | 2 | 2 | 2 | 19 | 19 | 2 | 24 | 26 | 2 | Using the data from the first 2 royales, I attempted to distribute my troops on places most players would not go for. |
1253 | 1253 | 5 | 6 | 7 | 8 | 12 | 0 | 19 | 21 | 21 | 1 | |
1252 | 1252 | 1 | 2 | 4 | 6 | 12 | 2 | 16 | 18 | 22 | 17 | |
1251 | 1251 | 0 | 0 | 0 | 0 | 0 | 14 | 14 | 14 | 33 | 25 | Looking at previous results the middle became the highest value for least deployments. BUt I wanted to be able to take the the 10 and 9 as well. so I loaded the top end and placed enough in the middle that might get me to 28 points. I am willing to cede 15 points to the opponent |
1250 | 1250 | 0 | 0 | 13 | 13 | 14 | 14 | 12 | 12 | 11 | 11 | I'm figuring that most people will concentrate there forces mostly in the first few castles and somewhat in the last few. With this strategy I think i'll have a strong troop advantage in the middle castles and a weaker troop advantage in the end while only completely ceding the first 2 castles. Even if someone uses a similar strategy with a single troop in the first 2 castles, I'll still have a competitive advantage in at least one castle without sacrificing a more dominant position in the middle and end. |
1249 | 1249 | 2 | 4 | 5 | 7 | 9 | 11 | 13 | 15 | 16 | 18 | |
1248 | 1248 | 3 | 4 | 5 | 13 | 0 | 0 | 0 | 0 | 35 | 40 | The middle castles seem to be the most hotly contested and the lower ones were completely ignored. Secure the most valuable pieces with overwhelming force and pick up cheap points at the bottom. |
1247 | 1247 | 2 | 4 | 8 | 16 | 20 | 20 | 16 | 8 | 4 | 2 | Focus on the middle. |
1246 | 1246 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 31 | 31 | 31 | Just winning the top three castles is enough to win, so I'm only focused on winning those; I sent one soldier to the rest just in case the castle is undefended. |
1245 | 1245 | 2 | 11 | 11 | 11 | 11 | 11 | 12 | 12 | 17 | 2 | I tailored my placement to counter what I believe will be popular strategies. One strategy being placing at least one soldier on each castle, another being splitting them evenly at 10 soldiers a piece, and another being overloading castle 10. |
1244 | 1244 | 1 | 1 | 1 | 1 | 1 | 15 | 18 | 26 | 34 | 2 | Guesswork |
1243 | 1243 | 1 | 1 | 2 | 16 | 20 | 2 | 3 | 1 | 32 | 22 | This worked last time? |
1242 | 1242 | 1 | 1 | 1 | 1 | 16 | 16 | 2 | 29 | 30 | 3 | |
1241 | 1241 | 0 | 0 | 3 | 5 | 11 | 13 | 21 | 22 | 14 | 11 | Kind of a guess, really |
1240 | 1240 | 5 | 0 | 0 | 12 | 0 | 13 | 0 | 30 | 35 | 5 | Trying to secure a baseline of 17 and steal either 10 or 7+3 as well as the first castle |
1239 | 1239 | 0 | 3 | 3 | 12 | 12 | 17 | 12 | 17 | 12 | 12 | Looking at the data from the first two iterations, castles 6 and 8 seemed most likely to be winnable. I focused on 12s and 17s as I assume others like to throw in a lot of 11s and 16s to get 1 army over those who put in 10s and 15s. |
1238 | 1238 | 3 | 0 | 6 | 8 | 15 | 22 | 4 | 3 | 31 | 8 | a computer told me to |
1237 | 1237 | 0 | 0 | 0 | 10 | 10 | 25 | 25 | 15 | 10 | 5 | Because the middle will be ignored |
1236 | 1236 | 0 | 1 | 2 | 3 | 16 | 19 | 22 | 5 | 6 | 26 | Try to win castle 10. Put one more than 25 there, thinking that some people will go for the even number. Add 5, 6 and 7 as a strategy to get 28 with 10. Try to capture the other numbers a fair fraction of the time when nobody targets them, but don't overspend on low numbers. |
1235 | 1235 | 1 | 1 | 8 | 19 | 6 | 20 | 18 | 22 | 3 | 2 | hope to get my points in random places |
1234 | 1234 | 2 | 2 | 3 | 11 | 11 | 16 | 16 | 16 | 21 | 2 | Never put 0, conceede castle 10, focus on 4-9, and put castle values 1 higher than common values (1, 10, 15, 20) |
1233 | 1233 | 0 | 0 | 0 | 16 | 21 | 1 | 2 | 1 | 35 | 24 | Optimised against top fives from both runs and median from the first. Depends on snatching the top two bolstered by four and five, these four wins would total a bare minimum of 28 of 55 points. Sometimes snatches the 6–8. If most strengthened the top prizes a bit, yeah, I'm screwed. Didn't want to do a deep dive into the complete data. |
1232 | 1232 | 1 | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | Each castle has just under twice their point value in troops. |
1231 | 1231 | 6 | 1 | 2 | 2 | 1 | 3 | 6 | 24 | 34 | 21 | Previous battle victories seemed to be all-or-nothing attempts to get 28 pts from the fewest castles to maximize troop strengths. That's fine. If four castles is what it takes, that's what it takes. My goal in this round is to make Castle 1 mean something! Assuming you're a real warlord, going in order, you want to get that first victory to make your troops follow you. Besides that thought, I used no formulas or special computations. I just looked at what went before and decided this looked reasonable enough. |
1230 | 1230 | 1 | 1 | 1 | 0 | 0 | 20 | 20 | 22 | 35 | 0 | |
1229 | 1229 | 0 | 8 | 6 | 8 | 13 | 1 | 19 | 11 | 2 | 32 | Ran a genetic algorithm simulation and this was the winning strategy. The best strategy depends on the other strategies entered, so it is within the space of possible, winners, but probably won't win. |
1228 | 1228 | 2 | 2 | 2 | 2 | 2 | 10 | 14 | 16 | 24 | 26 | Well it's kind of arbitrary. But the first 5 castles only give 15 points while the next 5 give 40. So I figured I would largely abandon the first 5, putting 2 on each because putting one seemed wrong. Then looking at the previous answers it looked like you could do fairly well against a good mix of opponents by fighting particularly hard for 9 and 10 and fairly hard for 6, 7, and 8. The 7 and 8 aren't 15 and the 9 and 10 aren't 25 because I figured a lot of people might use those nice round numbers. |
1227 | 1227 | 2 | 2 | 8 | 12 | 2 | 21 | 23 | 26 | 2 | 2 | absolutely no reason whatsoever. If I somehow win, I want the word "flapjack" somewhere in the post. |
1226 | 1226 | 1 | 1 | 2 | 4 | 6 | 9 | 13 | 17 | 21 | 26 | I used a sum of squares distribution, rounded, with a minimum of one troop per castle. |
1225 | 1225 | 2 | 2 | 6 | 3 | 3 | 21 | 21 | 18 | 3 | 21 | I am mixing a few low-effort and high effort attacks with a medium effort thrown in to test low-level dedication. |
1224 | 1224 | 2 | 3 | 4 | 10 | 2 | 24 | 20 | 2 | 3 | 30 | I think most people will cycle back to strategy 1 but I think one could use that to take many 10's back. Otherwise, concentrating on the middle again - but not contesting the highest contested castles. |
1223 | 1223 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 31 | 33 | 33 | all or nothing |
1222 | 1222 | 0 | 0 | 0 | 1 | 17 | 23 | 28 | 3 | 4 | 24 | Castle 8 and 9 are highly contested, so you have to put in a lot of troops to gain a high probability of winning them. However, if your strategy is 9-10 heavy, 8 is weak for you and I might win or tie with a few there; if your strategy is more focused on 8-10 or lower values, I might snag a tie or win with a couple troops in 9. Overall, the winning strategy is 5-6-7-10. If I lose 10, I hope to win 8 or 9, and tie or win a few of the lower ones. I will definitely lose games, but the hope is that I can win against a bunch of strategies. For instance, this beats about half of last years' winners. |
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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 );