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Aug 21st, 2018
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  1. 14 1-
  2. 23 23
  3.  
  4. 13- 1-3 1-3
  5. --2 2-- -2-
  6.  
  7. 14- 14- (1-4 flip of 1st) 1-4 (1-4 flip of 1st)
  8. 2-3 -23 (23- ) 2-3 (-23 )
  9.  
  10. 13- (1-3 ) 1-3 1--
  11. --- (--- congruent to small) --- --3
  12. --2 (2-- ) -2- -2-
  13.  
  14. xx- 14-
  15. 1 x-- --> 2--
  16. --x --3
  17.  
  18. xx-
  19. 2 -x- --> none
  20. --x
  21.  
  22. xx- 14-
  23. 3 --x --> --3
  24. x-- 2--
  25.  
  26. xx- 14-
  27. 4 --x --> --3
  28. -x- -2-
  29.  
  30. xx- 14-
  31. 5 --x --> --3
  32. --x --2
  33.  
  34. xx- 14-
  35. 6 --- --> ---
  36. x-x 2-3
  37.  
  38. xx- 14-
  39. 7 --- --> ---
  40. -xx -23
  41.  
  42. x-x
  43. 8 x-- --> same as 3rd row
  44. -x-
  45.  
  46. x-x
  47. 9 x-- --> same as 6th row
  48. --x
  49.  
  50. x-x
  51. 10 -x- --> none
  52. x--
  53.  
  54. x-x 1-3 1-4 (1-4 )
  55. 11 -x- --> -4- -3- (-2- mirror of 2nd)
  56. -x- -2- -2- (-3- )
  57.  
  58. x-x
  59. 12 -x- -> none
  60. --x
  61.  
  62. x-x
  63. 13 --x --> mirror of rows 8 and 9
  64. ???
  65.  
  66. x-x
  67. 14 --- --> flip of 6th row
  68. xx-
  69.  
  70. x-x
  71. 15 --- --> congruent to single square
  72. x-x
  73.  
  74. x-x
  75. 16 --- --> mirror of 14th row
  76. -xx
  77.  
  78. -xx
  79. 17 ??? --> flip of 1st - 7th row
  80. ???
  81.  
  82. x--
  83. 18 x?? --> rotation of 17th row
  84. ???
  85.  
  86. x--
  87. 19 -xx --> rotation of 11th row
  88. x--
  89.  
  90. x-- 1-- 1-- (1-- )
  91. 20 -xx --> -34 -43 (-24 same as 2nd)
  92. -x- -2- -2- (-3- )
  93.  
  94. x-- x-- rotate 180 degrees and there will be 2
  95. 21 -x- --x --> in the top row, which is covered by
  96. ??? ??? rows 1-17
  97.  
  98. -x-
  99. 22 xx- --> rotation of 20th row
  100. --x
  101.  
  102. -x-
  103. 23 x-x --> adjacent to corner already covered by rows 1-7
  104. ?-?
  105.  
  106. -x-
  107. 24 x-x --> congruent to single square
  108. -x-
  109.  
  110. -x-
  111. 25 -xx --> rotation of 22nd row
  112. x--
  113.  
  114. -x- -x- rotate 180 degrees and there will be 2
  115. 26 -x- --x --> in the top row, which is covered by
  116. ??? ??? rows 1-17
  117.  
  118. --x
  119. 27 ??? --> flip of rows 18-21
  120. ???
  121.  
  122. xxx xxx xxx xxx
  123. 1 x-- x-- x-- -x- --> none
  124. x-- -x- --x x--
  125.  
  126. xxx 153 143
  127. 2 -x- --> -4- -5
  128. -x- -2- -2-
  129.  
  130. xxx
  131. 3 -x- --> none (same as 4th in top row)
  132. --x
  133.  
  134. xxx
  135. 4 --x --> none (same as first 3 in first row)
  136. ???
  137.  
  138. xxx xxx xxx
  139. 5 --- --- --- --> none
  140. xx- x-x -xx
  141.  
  142. xx- 15- 14- (15- 15- )
  143. 6 xx- --> 24- 25- (23- mirror of 1st 32- mirror of 2nd)
  144. --x --3 --3 (--4 --4 )
  145.  
  146. xx-
  147. 7 x-x --> none (same as 2nd in top row)
  148. x--
  149.  
  150. xx- 15-
  151. 8 x-x --> 2-4
  152. -x- -3-
  153.  
  154. xx- 15-
  155. 9 x-x --> 2-4
  156. --x --3
  157.  
  158. xx- 15- 15- 14- 15-
  159. 10 -xx --> -34 -43 -53 -24
  160. x-- 2-- 2-- 2-- 3--
  161.  
  162. xx- 15- 15- 14- 15-
  163. 11 -xx --> -34 -43 -53 -24
  164. -x- -2- -2- -2- -3-
  165.  
  166. xx-
  167. 12 -xx --> none
  168. --x
  169.  
  170. xx-
  171. 13 x-- --> none (same as 3rd in top row)
  172. x-x
  173.  
  174. xx- 15-
  175. 14 x-- --> 2--
  176. -xx -34
  177.  
  178. xx- 15- 15- 14- 15-
  179. 15 -x- --> -3- -4- -5- -2-
  180. x-x 2-4 2-3 2-3 3-4
  181.  
  182. xx- 15- 15- (14- 15- )
  183. 16 -x- --> -4- -3- (-5- congruent to 2nd -2- congruent to 1st)
  184. -xx -23 -24 (-23 -34 )
  185.  
  186. xx- 15-
  187. 17 --x --> --4
  188. xx- 23-
  189.  
  190. xx- 15-
  191. 18 --x --> --4
  192. x-x 2-3
  193.  
  194. xx-
  195. 19 --x --> same as 9th row
  196. -xx
  197.  
  198. xx-
  199. 20 --- --> none (same as last in 5th row)
  200. xxx
  201.  
  202. x-x x-x x-x Two adjacent 'x's in
  203. 21 x?? -xx -x- --> a corner is the same
  204. ??? ??? xx- as something above
  205.  
  206. x-x 1-4
  207. 22 -x- --> -5-
  208. x-x 2-3
  209.  
  210. x-x -xx x-- x-- x-- Two adjacent 'x's in
  211. 23 -x- ??? x?? -xx -?? --> a corner is the same
  212. -xx ??? ??? ??? xxx as something above
  213.  
  214. -x- -1- -1- (-1- -1- )
  215. 24 xxx --> 254 245 (235 mirror of 2nd 325 mirror of 1st)
  216. -x- -3- -3- (-4- -4- )
  217.  
  218. --x
  219. 25 ??? --> already covered by the 23rd row
  220. ???
  221.  
  222. xxx
  223. 1 xx- --> none
  224. x--
  225.  
  226. xxx 164 154
  227. 2 xx- --> 25- 26-
  228. -x- -3- -3-
  229.  
  230. xxx 164 154
  231. 3 xx- --> 25- 26-
  232. --x --3 --3
  233.  
  234. xxx xxx xxx
  235. 4 x-x x-x x-x --> none
  236. x-- -x- --x
  237.  
  238. xxx
  239. 5 -xx --> mirrors of first three rows
  240. ???
  241.  
  242. xxx
  243. 6 x-- --> Same as 4th row
  244. xx-
  245.  
  246. xxx
  247. 7 x-- --> none
  248. x-x
  249.  
  250. xxx
  251. 8 x-- --> none
  252. -xx
  253.  
  254. xxx 164 154
  255. 9 -x- --> -5- -6-
  256. xx- 23- 23-
  257.  
  258. xxx 164 154
  259. 10 -x- --> -5- -6-
  260. x-x 2-3 2-3
  261.  
  262. xxx
  263. 11 -x- --> same as 9th row above
  264. -xx
  265.  
  266. xxx
  267. 12 --x --> mirror of rows 6-8
  268. ???
  269.  
  270. xxx
  271. 13 --- --> none
  272. xxx
  273.  
  274. xx-
  275. 14 xxx --> same as 2nd row
  276. x--
  277.  
  278. xx- 16- 15- 16- (16- 16- )
  279. 15 xxx --> 254 264 245 (235 mirror of first 325 mirror of 2nd)
  280. -x- -3- -3- -3- (-4- -4- )
  281.  
  282. xx- 16- 16- 15- 16-
  283. 16 xxx --> 245 254 264 325
  284. --x --3 --3 --3 --4
  285.  
  286. xx-
  287. 17 xx- --> mirror of 3rd row
  288. x-x
  289.  
  290. xx-
  291. 18 xx- --> mirror of 16th row
  292. -xx
  293.  
  294. xx-
  295. 19 x-x --> rotate 90 degrees so 3 'x' are on top;
  296. x?? already covered
  297.  
  298. xx- 16-
  299. 20 x-x --> 2-5
  300. -xx -34
  301.  
  302. xx- 16- (16- ) 15- (16- ) 16-
  303. 21 -xx --> -45 (-54 flip of 1st) -64 (-35 flip of 3rd) -25
  304. xx- 23- (23- ) 23- (24- ) 34-
  305.  
  306. xx- 16- 16- (15- ) 16- (16- )
  307. 22 -xx --> -45 -54 (-64 mirror of 1st) -35 (-25 mirror of 4th)
  308. x-x 2-3 2-3 (2-3 ) 2-4 (3-4 )
  309.  
  310. xx-
  311. 23 -xx --> flip of 18th row
  312. -xx
  313.  
  314. xx-
  315. 24 ??? --> rotate 180 degrees so 3 'x' are on top;
  316. xxx already covered
  317.  
  318. x-x x-x x-x -xx Two adjacent 'x's in
  319. 25 x?? -xx -x- ??? --> a corner is the same
  320. ??? ??? xxx ??? as something above
  321.  
  322. Anything with a single x on top will have at least 2
  323. 26 on the bottom, which if rotated, is already covered
  324. by something above
  325.  
  326. xxx
  327. 1 xxx --> none
  328. x--
  329.  
  330. xxx 175 (165 )
  331. 2 xxx --> 264 (274 mirror of first)
  332. -x- -3- (-3- )
  333.  
  334. xxx
  335. 3 xxx --> flip of first row
  336. --x
  337.  
  338. xxx
  339. 4 xx- --> rotation of 4th row
  340. xx-
  341.  
  342. xxx
  343. 5 xx- --> none
  344. x-x
  345.  
  346. xxx 175 165
  347. 6 xx- --> 26- 27-
  348. -xx -34 -34
  349.  
  350. xxx
  351. 7 x-x --> none
  352. xx-
  353.  
  354. xxx
  355. 8 x-x --> none
  356. x-x
  357.  
  358. xxx
  359. 9 x-x --> flip of 7th row
  360. -xx
  361.  
  362. xxx
  363. 10 -xx --> already covered in 4th-6th row
  364. ???
  365.  
  366. xxx xxx xxx
  367. 11 x-- -x- --x --> none
  368. xxx xxx xxx
  369.  
  370. xx-
  371. 12 xxx --> rotation of 2nd row
  372. xx-
  373.  
  374. xx-
  375. 13 xxx --> rotation of 6th row
  376. x-x
  377.  
  378. xx- 17- 16- (17- 17- ) (17- ) (17- )
  379. 14 xxx --> 265 275 (256 246 2nd) (236 1st) (326 2nd)
  380. -xx -34 -34 (-34 -35 ) (-45 ) (-45 )
  381.  
  382. x-x
  383. 15 xxx --> rotation of 6th row
  384. xx-
  385.  
  386. x-x
  387. 16 xxx --> rotation of 2nd one in 11th row
  388. x-x
  389.  
  390. x-x
  391. 17 xxx --> flip of 15th row
  392. -xx
  393.  
  394. x-x
  395. 18 xx- -> rotation of 5th row
  396. xxx
  397.  
  398. x-x
  399. 19 x-x --> rotation of 8th row
  400. xxx
  401.  
  402. x-x
  403. 20 -xx --> flip of 18th row
  404. xxx
  405.  
  406. -xx
  407. 21 ??? --> already covered in 12th-14th rows
  408. ???
  409.  
  410. ???
  411. 22 xxx --> already covered in 1st-3rd rows
  412. xxx
  413.  
  414. 1x1: 9
  415. 1x2: 6
  416. 1x3: 3
  417. 2x1: 6
  418. 2x2: 4
  419. 2x3: 2
  420. 3x1: 3
  421. 3x2: 2
  422. 3x3: 1
  423.  
  424. 2x2: 4 in each orientation = 16
  425. 2x3: 2 in each orientation = 8
  426.  
  427. XXO OXX XXX XXX
  428. XXX XXX XXX XXX
  429. XXX XXX OXX XXO
  430.  
  431. XOO OOX XXX XXX
  432. XXX XXX XXX XXX
  433. XXX XXX OOX XOO
  434.  
  435. XXO OXX XXX XXX
  436. XXO OXX OXX XXO
  437. XXX XXX OXX XXO
  438.  
  439. OXO
  440. XXX
  441. OXO
  442.  
  443. XXX XXX XXO OXX
  444. XXO XOO XOO OXO
  445. XXX XXX XXO OXX
  446.  
  447. XXX XXX OOO
  448. OXO OXO XXX
  449. OXO OOO OXO
  450.  
  451. XXX
  452. XXO
  453. XOO
  454.  
  455. XXX XXX OXX XXO OXX XXO
  456. OXO OXO OXO OXO XXO OXX
  457. OXX XXO XXO OXX OOO OOO
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