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  1. 57
      README.md
  2. 205
      docs/farthest_checksum.md
  3. 205
      docs/solution_checksum.md

57
README.md

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## 华容道数据库计划
# 华容道数据库计划
### 简述
## 简述
这是关于华容道性质的研究项目,目标是找到所有华容道布局并分析它们之间的关联,同时取得各方面的参数,并将收集到的资料建成数据库加以整理。
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因此,这个项目将通过穷举的方式来得到全部布局的详细信息并录入数据库进行分类整理,再而进行统计分析。
### 找到所有可能的情况
## 找到所有可能的情况
在搜索全部可能布局的问题上,纯粹的数学计算在这里毫无用武之地:不同的棋子有不同的排列方式,根本无法进行可行的排列组合计算;因此,搜索过程也只能暴力穷举,将棋子的全排列逐个验证,剔除无效的排列后将得到全部合法的布局。
@ -18,7 +18,7 @@
经过统计,符合定义的华容道布局共有29334498种,这个数量级确实超出了个人的直观感受,但多次验证都证明这个数据是正确的;另一方面,千万级别的数据量也会对计算过程造成不小的挑战,甚至连数据库的大小都可能超出预期。
### 具体要统计什么数据
## 具体要统计什么数据
此前,大部分华容道的编程都是为了得到最少步解法,然而仅这一个数据对研究远远不够;在经过整理预判后,选定了以下几个数据作为主要统计目标:
@ -47,7 +47,7 @@
2. 全部布局各自的数据;
### 计算时间问题
## 计算时间问题
在华容道算法上,鉴于其数学复杂性,我们可选的也只能是无方向性的暴力搜索;绝大多数相关的程序也都使用了BFS方式进行搜索,通过哈希索引或者树结构优化计算速度,在计算过程中,单纯求解一般会经过约1000 \~ 100000个中间布局,得到结果后进行回溯;整个计算流程耗费的时间不等,对于常见的横刀立马布局,网络上流传的算法计算时间普遍在50ms \~ 800ms,个别优化较好的能下探到20ms附近;但即使做到这个速度,在千万级数据量面前都是相形见绌,计算时间和费用都是问题。
@ -58,7 +58,7 @@
考虑到现在要做的是计算全部情况,而不是计算单个布局,可以通过转变计算方式来加快速度;这个方法的提升在于借助了群的性质,每次只针对一个群做运算:在华容道求解的算法中,耗时最大的就是寻找下一步和剪枝,而如果计算局限在一个群中,我们可以通过构建它们之间的关系网(即定义中的网模型),通过指针免除掉寻找下一步的问题,进而将找到的节点内存地址加入线性表中并进行标记,省去了剪枝的过程,通过这样子的计算速率可以大大提高。
### 编码
## 编码
为了方便研究,每个华容道布局都有一个唯一的编码,它是一个九位长度的十六进制数,且编码和布局之间是一一对应的关系。
@ -69,7 +69,7 @@
详细内容会在[编码规则](./docs/klotski_code.md)部分中讨论。
### 编码可视化
## 编码可视化
对大多数人来说,纯粹的编码并不直观,而另一方面又需要编码的简洁性来辅助研究;因此我编写了一个编码可视化的小工具,可以根据布局计算编码或根据编码来显示布局样式。
@ -100,7 +100,7 @@
[备用链接](https://hrd.dnomd343.top/download/HRD_Visual.exe)
### 计算引擎
## 计算引擎
计算引擎使用c++编写,负责全部计算工作,同时,它也可以用于最短路径/最远布局/解的个数等其他方面的运算。
@ -109,15 +109,48 @@
引擎封装了多个类实现不同功能,如果你有其他需求可以直接调用它的封装函数实现,这是它库函数的[使用演示](./docs/demo.md)。
### 如何运行这个项目
...
## 如何运行这个项目
环境要求:c++编译工具,MySQL服务
build文件夹是计算并建立数据库的工作目录,里面的脚本均为Linux下使用;如果你是Windows环境,请安装[Git](https://git-scm.com/download/win),然后在`Git Bash`工具运行中sh脚本;由于计算时间较长,建议在`screen`工具的虚拟窗口中运行。
1. 执行init.sh
这一步会进行引擎编译并计算得到全部布局及其分类,还会生成所有群的种子编码;它会得到./release/main.csv ./release/All_Case.txt ./seed/\*这些文件.
2. 分别执行cal_sh下的脚本(共64个计算部分)
由于总计算量较大,这里分为多个部分进行运算,每个脚本运行完成后会生成对应的_OK文件进行标记,计算结果会存放在../farthest与../solution文件夹下。
这里是[farthest](./docs/farthest_checksum.md)与[solution](./docs/solution_checksum.md)的哈希校验值,可以用于校验计算过程是否出错。
3. 执行release.sh
它会将farthest和solution文件夹下全部csv文档分别进行合并,得到./release/farthest.csv与./release/solution.csv这两个文件。
执行下一步之前,请先确认./release/下的文件MD5:
> All_Case.txt EEB931800E1B6EB10D46DB4DD6A1561F
> main.csv 4B99D2AD0B919CDE2D0FDE6F7010E698
> farthest.csv F089C9432CAF389DE46CDF0631943D38
> solution.csv EF709D1D22593C50E9EE426A92725096
4. 执行load.sql
它用于将csv文档导入MySQL数据库,请先确认以下内容:
+ 确认你的计算机有可用的MySQL服务
+ 确认你的MySQL允许导入外部文件
+ 如果你的项目文件夹不在\~/(用户目录)下,请手动编辑sql文件修改路径
上述步骤完成后使用以下命令导入
> mysql -u root -p < \~/HRD_Database/build/load.sql
5. 如果以上步骤均无问题,则计算结果已成功储存在MySQL的`hrd`数据库中
### 数据库使用
## 数据库使用
...
### 关于开源
## 关于开源
本项目所有源码以[MIT协议](./LICENSE)开源,你可以不受任何限制地使用,但保留作者版权;

205
docs/farthest_checksum.md

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| File_name | MD5 | Line_num | File_size (Byte) |
| :-: | :-: | :-: | :-: |
| farthest_0-0-0.csv | d444689026f9ef2568809e6186f81e00 | 12 | 1500 |
| farthest_0-1-0.csv | a3c0ed38d89857edaac63bb86bbf13ae | 192 | 18096 |
| farthest_0-2-0.csv | 3e0af654692c74d3a368e2b375e51332 | 1440 | 779242 |
| farthest_0-3-0.csv | e1da21d9109d155aa0a93cdbd940e738 | 6720 | 10998200 |
| farthest_0-4-0.csv | fb92795e2f1bc8dc1eb43ab1ed616aaf | 21840 | 54990794 |
| farthest_0-5-0.csv | 2bbbc3b10a5a433548440f7bcf9a4a87 | 52416 | 142747848 |
| farthest_0-6-0.csv | 7c1e167ab8efa93d0adf46d2e6b6a8da | 96096 | 263063250 |
| farthest_0-7-0.csv | 00bece98ceaebca355592e4c58210966 | 137280 | 277791944 |
| farthest_0-8-0.csv | 57a224cc2c1c91303b21dd1e82e95f93 | 154440 | 226301628 |
| farthest_0-9-0.csv | 98eee1bb5a6d7da1e07913438defdc35 | 137280 | 133713016 |
| farthest_0-10-0.csv | 967f39e698e8ee1ae203f0e0aa375593 | 96096 | 56086932 |
| farthest_0-11-0.csv | da7a137927c5978e9b9fe3c8765dc77c | 52416 | 12512848 |
| farthest_0-12-0.csv | c1a33a31047d3325ba591f3296b08000 | 21840 | 3021602 |
| farthest_0-13-0.csv | 9deb99b35f58ee0352efdde3689699b6 | 6720 | 421920 |
| farthest_0-14-0.csv | 4e516c1a57fa7bc87482ffd4601a3799 | 1440 | 113760 |
| farthest_1-0-0.csv | 2bceb9e3e51877a3b481dab3b06183e0 | 132 | 19376 |
| farthest_1-0-1.csv | c3b7407ff0915d2159bbfaa2409c127f | 124 | 20922 |
| farthest_1-1-0.csv | 3e978a912e709397ede1608502cda910 | 1848 | 4001740 |
| farthest_1-1-1.csv | 0e788f3793af282e307a8ac7ba1b15c3 | 1736 | 2044628 |
| farthest_1-2-0.csv | 50669db268b26e9ef36b42c42cc3e90e | 12012 | 24044260 |
| farthest_1-2-1.csv | 346b0df079f49b8e671d1035dd657a68 | 11284 | 33094330 |
| farthest_1-3-0.csv | bf96b0719ed691fcbe32d111607d6f46 | 48048 | 218449716 |
| farthest_1-3-1.csv | 37d9688e25966eb5d030d8016b8229e1 | 45136 | 179708416 |
| farthest_1-4-0.csv | 95c2b442fa4dd223ed54cbffaaf7b6ab | 132132 | 612435232 |
| farthest_1-4-1.csv | e3f52d8bc976634e23e99bb2688c38ae | 124124 | 656394122 |
| farthest_1-5-0.csv | bddfbc32ee1be38a21109f3e4813cd8f | 264264 | 945367644 |
| farthest_1-5-1.csv | 2691694e9dc998f9f7ce1a5a1d326b59 | 248248 | 1048927456 |
| farthest_1-6-0.csv | 7c10acda1d2fcc6c7555e694fe7a9b84 | 396396 | 961847036 |
| farthest_1-6-1.csv | c68d901ecbbb0924ff897daef36dc0a4 | 372372 | 1231131990 |
| farthest_1-7-0.csv | a89c5262f388eaff69b62e4c82dd6960 | 453024 | 755987944 |
| farthest_1-7-1.csv | 59e36c5c32ce5b6ad3327c56689eac0a | 425568 | 856781060 |
| farthest_1-8-0.csv | f53965b34aaa4e312fc39831fcdceb3f | 396396 | 388437312 |
| farthest_1-8-1.csv | e218cec14dd2fdb8d845762d717671e4 | 372372 | 423137306 |
| farthest_1-9-0.csv | 5a3755a767e1b3c77b042e5d0968634c | 264264 | 160787348 |
| farthest_1-9-1.csv | 63677b4c15736f894b04faba866982e0 | 248248 | 145470576 |
| farthest_1-10-0.csv | 47c24beaf475520a68ada4dab16e1fcc | 132132 | 34965252 |
| farthest_1-10-1.csv | 1405bc2fdbcf565afb44d05ce2e46071 | 124124 | 39607362 |
| farthest_1-11-0.csv | 4e535a35b69ac539395261efa24f9289 | 48048 | 4625804 |
| farthest_1-11-1.csv | a2cf1180ae1e758fc06402c0efe6eea3 | 45136 | 3166100 |
| farthest_1-12-0.csv | 5ca95570e55a799c355955484c1641ba | 12012 | 579064 |
| farthest_1-12-1.csv | ae84c6873c67aed644efba627ed8b669 | 11284 | 1038702 |
| farthest_2-0-0.csv | 38e324ef901333a5e1a46ad92658affc | 582 | 371556 |
| farthest_2-0-1.csv | 982418e24a05788d76531bbe2316c10c | 1044 | 1027096 |
| farthest_2-0-2.csv | 08cf9d67515c0bd80b7538a87a19a860 | 512 | 213946 |
| farthest_2-1-0.csv | 17fb48d8074f63478470141f229a6249 | 6984 | 13474272 |
| farthest_2-1-1.csv | f84ed372fd553d06a168ffd800867fb7 | 12528 | 39910772 |
| farthest_2-1-2.csv | 853ea6a5fe8801aaec7bec174a59471c | 6144 | 9058108 |
| farthest_2-2-0.csv | fdc6c17d31594d086a30e91f9ecfa648 | 38412 | 125953062 |
| farthest_2-2-1.csv | 274fa14100bd9c83280ae75a8a312d64 | 68904 | 302449108 |
| farthest_2-2-2.csv | 25708c8483a2ffd87df0ef31f5fefd6f | 33792 | 99355358 |
| farthest_2-3-0.csv | 0410c8e0d814d5a73d1c338e7d18a815 | 128040 | 495826148 |
| farthest_2-3-1.csv | 5508b8cf1f0371f31b431211b908da5c | 229680 | 1040096444 |
| farthest_2-3-2.csv | 956701528b73881b7e1106da12d5ceb6 | 112640 | 354386504 |
| farthest_2-4-0.csv | 35839640c200eaaba77e5c6a3e936b95 | 288090 | 1040417938 |
| farthest_2-4-1.csv | 95c771978629845fd4208f93c744fbf8 | 516780 | 1702819376 |
| farthest_2-4-2.csv | f9526aacd286d02a9c04ad9f6b20f6ac | 253440 | 819391828 |
| farthest_2-5-0.csv | 3961fc8e9c92e1d6f1ba1305234dde5c | 460944 | 1155766604 |
| farthest_2-5-1.csv | f69e81b72972c616269b70d98ceb3896 | 826848 | 1683267328 |
| farthest_2-5-2.csv | 335f7ccf16b389a442474b27632a536c | 405504 | 746194740 |
| farthest_2-6-0.csv | 4a1ce59459395726f6aefc45eebc70f9 | 537768 | 687994120 |
| farthest_2-6-1.csv | e91b9cf68e5d72866fdfc5de9ff32eef | 964656 | 901474312 |
| farthest_2-6-2.csv | 42536e8810e3ff1373d35ccff7ea97df | 473088 | 392406954 |
| farthest_2-7-0.csv | 0aa4cab2bde1e985c7beb8afaea75ebb | 460944 | 292675896 |
| farthest_2-7-1.csv | b9c65a8e742896dc62b98223c2eee463 | 826848 | 355995316 |
| farthest_2-7-2.csv | f92d818cc4ad53b2c447cd48fdcc5165 | 405504 | 188362504 |
| farthest_2-8-0.csv | ce9c0a0dc952c78e016b2735e65d2180 | 288090 | 89084604 |
| farthest_2-8-1.csv | f039e38753b86a56d975a7c717d17dee | 516780 | 29665556 |
| farthest_2-8-2.csv | ae9c8401890749ddc2bb59ca585944bf | 253440 | 47399356 |
| farthest_2-9-0.csv | beb3c67f1e5dc18d137498c37fb23811 | 128040 | 12786124 |
| farthest_2-9-1.csv | 8de2d2b87f26c00cfe66e523ad036b94 | 229680 | 12306152 |
| farthest_2-9-2.csv | c35918969d28ce7e47695602eca6ccdd | 112640 | 6135360 |
| farthest_2-10-0.csv | 9b1d9db86c53c636996f683cfcbe7089 | 38412 | 1446220 |
| farthest_2-10-1.csv | 62c8569eb230d439e2a2af09ad782a3a | 68904 | 2693896 |
| farthest_2-10-2.csv | d6cbf4ed9756727e9f8614f3b70ca181 | 33792 | 1612928 |
| farthest_3-0-0.csv | fe144705c4c26c7b9ea428d9cfe7bc31 | 1320 | 960264 |
| farthest_3-0-1.csv | 4e061014f417d4cb350b330d50d8560d | 3382 | 1473870 |
| farthest_3-0-2.csv | 7396346d73d4908ac2c4f312bba7feff | 3180 | 2529920 |
| farthest_3-0-3.csv | 532140288d8cf15e4f9f5060f9d37d48 | 1092 | 304980 |
| farthest_3-1-0.csv | aae7c1229bdf6db88f0c0f5857c7bb91 | 13200 | 16252712 |
| farthest_3-1-1.csv | 9c5890df0ef48ba0351983cf2edc022e | 33820 | 43838988 |
| farthest_3-1-2.csv | 8275a27580613db3ea577500295a2d4e | 31800 | 38222940 |
| farthest_3-1-3.csv | 8456b941219baf4eef175f515e6dfc74 | 10920 | 7870252 |
| farthest_3-2-0.csv | 5f9a1fdfea95031d8322d834f349974d | 59400 | 90584444 |
| farthest_3-2-1.csv | 0c76a4d47f7af2e927917f5be6c8f940 | 152190 | 267494458 |
| farthest_3-2-2.csv | 64dd68fcc8f0c3358be039bc684dcc59 | 143100 | 130261540 |
| farthest_3-2-3.csv | 0405393a77c94fe888d22d2ba9666de5 | 49140 | 51634118 |
| farthest_3-3-0.csv | 1c4cb4534e4ad7234bec4dc7c62fda4a | 158400 | 187934676 |
| farthest_3-3-1.csv | 6ca72f77aa311429602d1d24309f2676 | 405840 | 388072368 |
| farthest_3-3-2.csv | b09d2995d33ffbf748044d3fef14fc87 | 381600 | 246024876 |
| farthest_3-3-3.csv | c0a271bcb052d4f53416b7fab6b445e5 | 131040 | 113915036 |
| farthest_3-4-0.csv | 78e58fefc992dac6b37424afb6177a7b | 277200 | 214676728 |
| farthest_3-4-1.csv | 86f4502ff707374ab63fbf868dc2f2f8 | 710220 | 262555952 |
| farthest_3-4-2.csv | 3ffbaf8e43eb159a44ed42b9ec5a4b24 | 667800 | 220897288 |
| farthest_3-4-3.csv | afa7167ee5dd9a9226291712a977b30e | 229320 | 124325752 |
| farthest_3-5-0.csv | 4ef665aea9d64b84887177d25c994b1d | 332640 | 151669632 |
| farthest_3-5-1.csv | e172c8c4f5a89c1ad2fa6fae7362b286 | 852264 | 44107020 |
| farthest_3-5-2.csv | 2f8d4381aeac51bca98922f7ef4af46e | 801360 | 60654524 |
| farthest_3-5-3.csv | ab1d1477b924ee40708175256ae48d0d | 275184 | 67288800 |
| farthest_3-6-0.csv | b2e580a7511effe91d4442a8b38d198e | 277200 | 48751628 |
| farthest_3-6-1.csv | 39d577a0a5288b702cdfa059764470b0 | 710220 | 37414468 |
| farthest_3-6-2.csv | 08e2b28d93c121747e51172e32094c93 | 667800 | 37696456 |
| farthest_3-6-3.csv | c525e83bde1ebe4722c62438c3832f57 | 229320 | 28829106 |
| farthest_3-7-0.csv | a6ed0c447dac16b240b137cd8ecdf94d | 158400 | 8462600 |
| farthest_3-7-1.csv | 979b2ad02321e3fa28f18b299512c45e | 405840 | 17221772 |
| farthest_3-7-2.csv | cbf7967382162f97c8b4af59b5a9ed2f | 381600 | 17169252 |
| farthest_3-7-3.csv | b79f747f7a6ffd89c7fb927993119a6e | 131040 | 9486096 |
| farthest_3-8-0.csv | 8aeab1fe84bdfa2543f4737a64cc3199 | 59400 | 2859620 |
| farthest_3-8-1.csv | c841af95f8834bfc014eec39041acdfe | 152190 | 5621374 |
| farthest_3-8-2.csv | 0300cbc2f9a5410a901ec9f031780555 | 143100 | 5172780 |
| farthest_3-8-3.csv | 8eed90514f20e83425310e8a4bbd3864 | 49140 | 2952004 |
| farthest_4-0-0.csv | abcf8bdb6bb90d1b047cac5f84cada2d | 1632 | 938964 |
| farthest_4-0-1.csv | 9f44132db9640d416e2cf0547be438d1 | 5344 | 2024832 |
| farthest_4-0-2.csv | 62cedfd6f6382c354babe823ef5ce843 | 7248 | 2382546 |
| farthest_4-0-3.csv | c2db7497869604d51b01d5f60769dd40 | 4680 | 1725968 |
| farthest_4-0-4.csv | 40b8dc85db809f65c935cbbe581c2b05 | 1320 | 134994 |
| farthest_4-1-0.csv | 2916e80d49654d3756e4f10d0e9653c9 | 13056 | 7335080 |
| farthest_4-1-1.csv | a51d287172ce324ef92f3ace3741629b | 42752 | 15387820 |
| farthest_4-1-2.csv | 4600cfc9e7ffe3beec25ec579ef832e6 | 57984 | 13076872 |
| farthest_4-1-3.csv | c209638d5c34ed048ccb3778b680aa23 | 37440 | 10965028 |
| farthest_4-1-4.csv | 67754cfd0e02e307dd9e8d69726b2252 | 10560 | 2541996 |
| farthest_4-2-0.csv | 3ee5c22bed2535e0aa5d73604b7c2ae1 | 45696 | 10281338 |
| farthest_4-2-1.csv | fa2681a2483cd95743c699dec75dccb4 | 149632 | 39413732 |
| farthest_4-2-2.csv | 7fdb7cb45ef70a03bdfaf38efa845774 | 202944 | 13677930 |
| farthest_4-2-3.csv | 99b1c5400ca798db6710c38d552862fd | 131040 | 32567540 |
| farthest_4-2-4.csv | 85220a73805ad3db285258581340ca06 | 36960 | 9472192 |
| farthest_4-3-0.csv | e75eb3b13aaf88585ab5fc04b4575765 | 91392 | 15986528 |
| farthest_4-3-1.csv | 2b99d0f460a4dc247599d5c7931d0697 | 299264 | 8110392 |
| farthest_4-3-2.csv | 66fc5c611b856e627d252da8312bc294 | 405888 | 23078840 |
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| solution_4-2-1.csv | 443454af4cf597c3272f11de8d8f11f6 | 149632 | 12341766 |
| solution_4-2-2.csv | 12108f842bb32db20d2f7c9163a2672a | 202944 | 14375759 |
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| solution_4-2-4.csv | 01abf9af679a3b6a320983701774dd3f | 36960 | 2527624 |
| solution_4-3-0.csv | 9113f6d25be50174b075d00884abc386 | 91392 | 6884810 |
| solution_4-3-1.csv | b247c2f95a70e372a5359cbaaced1e18 | 299264 | 17425466 |
| solution_4-3-2.csv | 05f26d9a46b4005026ebae9927af3fc5 | 405888 | 27131936 |
| solution_4-3-3.csv | a700f972912f3f94ae31033d2e72560f | 262080 | 18620266 |
| solution_4-3-4.csv | f10cee6124a3c584ca32fbf22d9229a8 | 73920 | 4690492 |
| solution_4-4-0.csv | 4ad0f1ea9cde917e7abaa886c26db517 | 114240 | 6061194 |
| solution_4-4-1.csv | 01ca50aeff5d773afccdbfdda56149a5 | 374080 | 15646740 |
| solution_4-4-2.csv | a739c2a5f4e8880b4373c1f4c8c4c2f9 | 507360 | 26156960 |
| solution_4-4-3.csv | 5183be282ea9cfa9a4e11c6a7bd87596 | 327600 | 16693810 |
| solution_4-4-4.csv | a39265f809324742a296a0f458e499e6 | 92400 | 4240194 |
| solution_4-5-0.csv | caf81c34bf9abf89e66538b78d4a46d7 | 91392 | 6866364 |
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| solution_4-5-2.csv | daa71a64b4e767cdaf435b4319d58405 | 405888 | 18440736 |
| solution_4-5-3.csv | 438092c1c75738caa06cca145995a5b0 | 262080 | 10900194 |
| solution_4-5-4.csv | 50c3872267d8ada4532d9431aa572284 | 73920 | 2996744 |
| solution_4-6-0.csv | f16f3a08b5651f8eca98bf20c91049c9 | 45696 | 1356514 |
| solution_4-6-1.csv | c1fa5720153388ba6b1f0be87e354a5b | 149632 | 4390580 |
| solution_4-6-2.csv | a3bb28b4ffb86b2e8870bc9dbe706021 | 202944 | 5783070 |
| solution_4-6-3.csv | 0777523fe804437ccf63fd4156fb8f10 | 131040 | 3615678 |
| solution_4-6-4.csv | 38a3793701a4cbbe5eb5a852fcb59c9c | 36960 | 958784 |
| solution_5-0-0.csv | 54fa169da515558d70985940faf75089 | 1044 | 29928 |
| solution_5-0-1.csv | 27e70908a9d3f8f7b3e0f14d1feca9dc | 4392 | 301139 |
| solution_5-0-2.csv | 9c48d1281f5ffe98e8c8371e5021742b | 7284 | 283402 |
| solution_5-0-3.csv | 9d9730282cb834693fa4dfa3bf69af56 | 7120 | 424995 |
| solution_5-0-4.csv | b3e908c2d42c232b5b426094877ae28f | 3444 | 141850 |
| solution_5-0-5.csv | bab735bde13fdb786bcefefe55fecab9 | 948 | 41954 |
| solution_5-1-0.csv | 29bab72417ae816263222d7e648683a9 | 6264 | 190936 |
| solution_5-1-1.csv | db8e49616a51c8608e3fc48209fa84f3 | 26352 | 1265458 |
| solution_5-1-2.csv | 74413041bb7546839bf4e5422edce366 | 43704 | 2051388 |
| solution_5-1-3.csv | 473d603299f48673f6b5891d64b0c504 | 42720 | 1931578 |
| solution_5-1-4.csv | ef7a393e2cf3c9bf00af876236af42ad | 20664 | 978394 |
| solution_5-1-5.csv | 007cef15bc93b1ea8bd5d075b4647cf3 | 5688 | 259778 |
| solution_5-2-0.csv | 839911516fce9470cadabae392ee3702 | 15660 | 462962 |
| solution_5-2-1.csv | 26dcf2e0dc91bae390fbc96dbe10acde | 65880 | 2427476 |
| solution_5-2-2.csv | 275d53990fd205e02a1d288e10bede88 | 109260 | 3935842 |
| solution_5-2-3.csv | bd6568623305e8a6b46fac1cca57c8fe | 106800 | 4251571 |
| solution_5-2-4.csv | 4d965177b970948d1c059b252b4d5fb9 | 51660 | 1921878 |
| solution_5-2-5.csv | e9da57bd9f8c5ef265fddec4e8f56faf | 14220 | 533294 |
| solution_5-3-0.csv | f199a5c82bc05eadc4b7c67bc1c9ea88 | 20880 | 587678 |
| solution_5-3-1.csv | 52675415a08be33ccc5dc83848ec0ed8 | 87840 | 4411974 |
| solution_5-3-2.csv | 06c52402ab5f7f6aa9a9341c734c759c | 145680 | 5314274 |
| solution_5-3-3.csv | a62887eb523aec5889f0911aaa5ca3d1 | 142400 | 5827316 |
| solution_5-3-4.csv | bc20d5992ea1b144a8509eca5eacc110 | 68880 | 2482948 |
| solution_5-3-5.csv | dfa8ec77c1c1970c446e9e0db16ca9b6 | 18960 | 629258 |
| solution_5-4-0.csv | 3afebcd6655825930557b4e6b5aa28f2 | 15660 | 354708 |
| solution_5-4-1.csv | 6bc9a94401d80d241f181c040e95774f | 65880 | 1702290 |
| solution_5-4-2.csv | 7f5fa11c89b5954721d0b1f6eac640d4 | 109260 | 2814192 |
| solution_5-4-3.csv | 82cf01f51ece0d0acd9f7503c452e024 | 106800 | 2810657 |
| solution_5-4-4.csv | 84b1444cc1509504e45a10cf6e15d27b | 51660 | 1259214 |
| solution_5-4-5.csv | 277fb2791e0693d388b7c80833e7d99a | 14220 | 350424 |
| solution_6-0-0.csv | 03f20570b1cc08e73d16b137a301a546 | 270 | 5220 |
| solution_6-0-1.csv | c56f37a3e18d819fb2e81142267d37c3 | 1836 | 42200 |
| solution_6-0-2.csv | 866a46dcecbc2a18b25006b25a9ea0a5 | 3196 | 93594 |
| solution_6-0-3.csv | bf8afb985ba7dae366683e2f48c8413c | 4288 | 88598 |
| solution_6-0-4.csv | 17f13b9b7a9718fa67473d6543becccd | 3084 | 83112 |
| solution_6-0-5.csv | 467ec74e59b4b9dfad00d435cf24b3f2 | 1260 | 23284 |
| solution_6-0-6.csv | c5aa8cddbd386a9e2a2f5cad048d4fee | 396 | 10437 |
| solution_6-1-0.csv | e1b32c085a1a0505bcd3473d4083837e | 1080 | 20940 |
| solution_6-1-1.csv | eeb7db16c34660d867d1a6552a436a40 | 7344 | 169650 |
| solution_6-1-2.csv | 383d157c50b2c682f852eb18dea2e902 | 12784 | 291416 |
| solution_6-1-3.csv | 3b23b37df3a2ac2d4e440631d98ababe | 17152 | 355610 |
| solution_6-1-4.csv | 06f01da6174765447ff19de4ad287894 | 12336 | 281698 |
| solution_6-1-5.csv | a687fb40894bf0f554e01b8595926176 | 5040 | 94216 |
| solution_6-1-6.csv | 6ea5a7f15295faa14e1b0d9770e2fff8 | 1584 | 42916 |
| solution_6-2-0.csv | a2d88091eb58be14538b861e71e709f4 | 1620 | 31320 |
| solution_6-2-1.csv | ddd687c1eaec8da0a724f0b9e1be502f | 11016 | 229236 |
| solution_6-2-2.csv | 68e35fa5e17f3d00081c3c702fbf6287 | 19176 | 372944 |
| solution_6-2-3.csv | 5b2d22207bd2a10221fb47367c674add | 25728 | 504226 |
| solution_6-2-4.csv | 5847ef1d607c6870148a89507a2f3ff0 | 18504 | 371812 |
| solution_6-2-5.csv | 6580758c1c7fbc0adcec1e11746f2c09 | 7560 | 138612 |
| solution_6-2-6.csv | e8b923d2685411f215f2b669fc0ea078 | 2376 | 51896 |
| solution_7-0-1.csv | 452bdeee59ede0463e2055b74b8b3da4 | 342 | 6492 |
| solution_7-0-2.csv | 7dbb2615100cb264cbcb0d0fe95d09b1 | 464 | 8992 |
| solution_7-0-3.csv | c7e8c5f8846703043cc9ebccc121f666 | 1036 | 19240 |
| solution_7-0-4.csv | 6ff91e42f068edc85f037bf5d5566a0c | 772 | 14632 |
| solution_7-0-5.csv | a560783d740cb1f42e619e2cecdc2287 | 626 | 11380 |
| solution_7-0-6.csv | 62a0bafb06763a2656f0831d885dbece | 180 | 3288 |
| solution_7-0-7.csv | d896fbd500b011f186e12dc4c78305de | 88 | 1584 |
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