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Output of question 1c with integer relaxation on x and z

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Apr 22nd, 2019
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  1. x =
  2.  
  3. [2 , 3] = 0.047619
  4. [10 , 3] = 0.0952381
  5. [2 , 7] = 0.285714
  6. [10 , 7] = 0.285714
  7. [2 , 9] = 0.0952381
  8. [10 , 9] = 0.0952381
  9. [2 , 10] = 0.047619
  10. [10 , 10] = 0.047619
  11. [2 , 11] = 0.142857
  12. [10 , 11] = 0.47619
  13. [2 , 14] = 0.0952381
  14. [10 , 14] = 0.0952381
  15. [2 , 17] = 0.142857
  16. [10 , 17] = 0.142857
  17. [2 , 18] = 0.142857
  18. [10 , 18] = 0.142857
  19. [2 , 20] = 0.0952381
  20. [10 , 20] = 0.0952381
  21. [1 , 21] = 0.047619
  22. [9 , 21] = 0.285714
  23. [10 , 21] = 0.285714
  24. [1 , 22] = 0.238095
  25. [2 , 22] = 0.142857
  26. [10 , 22] = 0.238095
  27. [2 , 25] = 0.0952381
  28. [7 , 25] = 0.0952381
  29. [9 , 25] = 0.0952381
  30. [10 , 25] = 0.0952381
  31. [2 , 26] = 0.0952381
  32. [7 , 26] = 0.0952381
  33. [10 , 26] = 0.0952381
  34. [2 , 28] = 0.047619
  35. [5 , 28] = 0.047619
  36. [9 , 28] = 0.047619
  37. [10 , 28] = 0.047619
  38. [2 , 29] = 0.142857
  39. [6 , 29] = 0.0952381
  40. [7 , 29] = 0.142857
  41. [9 , 29] = 0.142857
  42. [10 , 29] = 0.142857
  43. [2 , 31] = 0.0952381
  44. [5 , 31] = 0.0952381
  45. [7 , 31] = 0.0952381
  46. [9 , 31] = 0.0952381
  47. [10 , 31] = 0.0952381
  48. [5 , 32] = 0.0952381
  49. [6 , 32] = 0.047619
  50. [7 , 32] = 0.380952
  51. [10 , 32] = 0.380952
  52. [1 , 33] = 0.142857
  53. [2 , 33] = 0.142857
  54. [7 , 33] = 0.142857
  55. [9 , 33] = 0.142857
  56. [10 , 33] = 0.142857
  57. [2 , 34] = 0.047619
  58. [4 , 34] = 0.047619
  59. [7 , 34] = 0.047619
  60. [9 , 34] = 0.047619
  61. [10 , 34] = 0.047619
  62. [1 , 35] = 0.047619
  63. [2 , 35] = 0.047619
  64. [4 , 35] = 0.047619
  65. [6 , 35] = 0.047619
  66. [9 , 35] = 0.047619
  67. [10 , 35] = 0.047619
  68. [2 , 36] = 0.047619
  69. [3 , 36] = 0.047619
  70. [9 , 36] = 0.047619
  71. [10 , 36] = 0.047619
  72. [2 , 37] = 0.047619
  73. [3 , 37] = 0.047619
  74. [4 , 37] = 0.047619
  75. [9 , 37] = 0.047619
  76. [10 , 37] = 0.047619
  77. [2 , 38] = 0.047619
  78. [3 , 38] = 0.047619
  79. [4 , 38] = 0.047619
  80. [10 , 38] = 0.047619
  81. [2 , 40] = 0.142857
  82. [3 , 40] = 0.142857
  83. [6 , 40] = 0.142857
  84. [10 , 40] = 0.142857
  85. [1 , 42] = 0.52381
  86. [2 , 42] = 0.142857
  87. [5 , 42] = 0.52381
  88. [6 , 42] = 0.52381
  89. [10 , 42] = 0.52381
  90. [2 , 44] = 0.0952381
  91. [3 , 44] = 0.0952381
  92. [10 , 44] = 0.0952381
  93. [2 , 45] = 0.047619
  94. [5 , 45] = 0.047619
  95. [6 , 45] = 0.047619
  96. [10 , 45] = 0.047619
  97. [2 , 46] = 0.047619
  98. [5 , 46] = 0.047619
  99. [10 , 46] = 0.047619
  100. [2 , 47] = 0.047619
  101. [3 , 47] = 0.047619
  102. [5 , 47] = 0.047619
  103. [10 , 47] = 0.047619
  104. [2 , 48] = 0.047619
  105. [5 , 48] = 0.047619
  106. [6 , 48] = 0.047619
  107. [10 , 48] = 0.047619
  108. [2 , 49] = 0.047619
  109. [5 , 49] = 0.047619
  110. [6 , 49] = 0.047619
  111. [10 , 49] = 0.047619
  112. [2 , 51] = 0.142857
  113. [4 , 51] = 0.142857
  114. [10 , 51] = 0.142857
  115. [2 , 52] = 0.047619
  116. [9 , 52] = 0.047619
  117. [10 , 52] = 0.047619
  118. [2 , 53] = 0.0952381
  119. [8 , 53] = 0.428571
  120. [9 , 53] = 0.047619
  121. [10 , 53] = 0.47619
  122. [2 , 55] = 0.0952381
  123. [4 , 55] = 0.0952381
  124. [9 , 55] = 0.0952381
  125. [10 , 55] = 0.0952381
  126. [2 , 56] = 0.047619
  127. [9 , 56] = 0.047619
  128. [10 , 56] = 0.047619
  129. [2 , 57] = 0.047619
  130. [10 , 57] = 0.047619
  131. [1 , 58] = 0.047619
  132. [2 , 58] = 0.047619
  133. [4 , 58] = 0.047619
  134. [7 , 58] = 0.047619
  135. [9 , 58] = 0.047619
  136. [10 , 58] = 0.047619
  137. [2 , 59] = 0.047619
  138. [7 , 59] = 0.047619
  139. [10 , 59] = 0.047619
  140. [1 , 60] = 0.0952381
  141. [2 , 60] = 0.0952381
  142. [7 , 60] = 0.0952381
  143. [9 , 60] = 0.0952381
  144. [10 , 60] = 0.0952381
  145. [1 , 62] = 0.0952381
  146. [2 , 62] = 0.0952381
  147. [7 , 62] = 0.0952381
  148. [9 , 62] = 0.0952381
  149. [10 , 62] = 0.0952381
  150. [2 , 63] = 0.047619
  151. [7 , 63] = 0.428571
  152. [10 , 63] = 0.428571
  153. [1 , 64] = 0.0952381
  154. [2 , 64] = 0.0952381
  155. [7 , 64] = 0.0952381
  156. [8 , 64] = 0.0952381
  157. [9 , 64] = 0.0952381
  158. [10 , 64] = 0.0952381
  159. [1 , 66] = 0.0952381
  160. [2 , 66] = 0.0952381
  161. [7 , 66] = 0.0952381
  162. [9 , 66] = 0.0952381
  163. [10 , 66] = 0.0952381
  164. [2 , 67] = 0.047619
  165. [4 , 67] = 0.047619
  166. [7 , 67] = 0.047619
  167. [10 , 67] = 0.047619
  168. [1 , 68] = 0.047619
  169. [2 , 68] = 0.047619
  170. [4 , 68] = 0.047619
  171. [7 , 68] = 0.047619
  172. [9 , 68] = 0.047619
  173. [10 , 68] = 0.047619
  174. [2 , 69] = 0.047619
  175. [9 , 69] = 0.047619
  176. [10 , 69] = 0.047619
  177. [2 , 70] = 0.047619
  178. [9 , 70] = 0.047619
  179. [10 , 70] = 0.047619
  180. [2 , 71] = 0.0952381
  181. [4 , 71] = 0.0952381
  182. [9 , 71] = 0.0952381
  183. [10 , 71] = 0.0952381
  184. [2 , 73] = 0.0952381
  185. [8 , 73] = 0.47619
  186. [9 , 73] = 0.047619
  187. [10 , 73] = 0.47619
  188. [2 , 74] = 0.047619
  189. [9 , 74] = 0.047619
  190. [10 , 74] = 0.047619
  191. [2 , 75] = 0.142857
  192. [4 , 75] = 0.142857
  193. [10 , 75] = 0.142857
  194. [2 , 77] = 0.047619
  195. [5 , 77] = 0.047619
  196. [6 , 77] = 0.047619
  197. [10 , 77] = 0.047619
  198. [2 , 78] = 0.047619
  199. [5 , 78] = 0.047619
  200. [6 , 78] = 0.047619
  201. [10 , 78] = 0.047619
  202. [2 , 79] = 0.047619
  203. [3 , 79] = 0.047619
  204. [5 , 79] = 0.047619
  205. [10 , 79] = 0.047619
  206. [2 , 80] = 0.047619
  207. [5 , 80] = 0.047619
  208. [10 , 80] = 0.047619
  209. [2 , 81] = 0.047619
  210. [5 , 81] = 0.047619
  211. [6 , 81] = 0.047619
  212. [10 , 81] = 0.047619
  213. [2 , 82] = 0.0952381
  214. [3 , 82] = 0.0952381
  215. [10 , 82] = 0.0952381
  216. [1 , 84] = 0.52381
  217. [2 , 84] = 0.142857
  218. [3 , 84] = 0.142857
  219. [5 , 84] = 0.52381
  220. [6 , 84] = 0.52381
  221. [10 , 84] = 0.52381
  222. [2 , 86] = 0.142857
  223. [3 , 86] = 0.142857
  224. [6 , 86] = 0.142857
  225. [10 , 86] = 0.142857
  226. [2 , 88] = 0.047619
  227. [3 , 88] = 0.047619
  228. [4 , 88] = 0.047619
  229. [10 , 88] = 0.047619
  230. [2 , 89] = 0.047619
  231. [3 , 89] = 0.047619
  232. [4 , 89] = 0.047619
  233. [9 , 89] = 0.047619
  234. [10 , 89] = 0.047619
  235. [2 , 90] = 0.047619
  236. [3 , 90] = 0.047619
  237. [9 , 90] = 0.047619
  238. [10 , 90] = 0.047619
  239. [1 , 91] = 0.047619
  240. [2 , 91] = 0.047619
  241. [4 , 91] = 0.047619
  242. [6 , 91] = 0.047619
  243. [9 , 91] = 0.047619
  244. [10 , 91] = 0.047619
  245. [2 , 92] = 0.047619
  246. [4 , 92] = 0.047619
  247. [7 , 92] = 0.047619
  248. [9 , 92] = 0.047619
  249. [10 , 92] = 0.047619
  250. [1 , 93] = 0.142857
  251. [2 , 93] = 0.142857
  252. [7 , 93] = 0.142857
  253. [9 , 93] = 0.142857
  254. [10 , 93] = 0.142857
  255. [5 , 94] = 0.190476
  256. [6 , 94] = 0.047619
  257. [7 , 94] = 0.380952
  258. [10 , 94] = 0.380952
  259. [2 , 95] = 0.0952381
  260. [7 , 95] = 0.0952381
  261. [9 , 95] = 0.0952381
  262. [10 , 95] = 0.0952381
  263. [2 , 97] = 0.142857
  264. [6 , 97] = 0.0952381
  265. [7 , 97] = 0.0952381
  266. [9 , 97] = 0.142857
  267. [10 , 97] = 0.142857
  268. [2 , 98] = 0.047619
  269. [5 , 98] = 0.047619
  270. [7 , 98] = 0.047619
  271. [9 , 98] = 0.047619
  272. [10 , 98] = 0.047619
  273. [2 , 100] = 0.0952381
  274. [7 , 100] = 0.0952381
  275. [10 , 100] = 0.0952381
  276. [2 , 101] = 0.0952381
  277. [7 , 101] = 0.0952381
  278. [9 , 101] = 0.047619
  279. [10 , 101] = 0.0952381
  280. [1 , 104] = 0.190476
  281. [2 , 104] = 0.142857
  282. [10 , 104] = 0.190476
  283. [1 , 105] = 0.0952381
  284. [9 , 105] = 0.333333
  285. [10 , 105] = 0.333333
  286. [2 , 106] = 0.0952381
  287. [10 , 106] = 0.0952381
  288. [2 , 108] = 0.142857
  289. [10 , 108] = 0.142857
  290. [2 , 109] = 0.142857
  291. [10 , 109] = 0.142857
  292. [2 , 112] = 0.0952381
  293. [10 , 112] = 0.0952381
  294. [2 , 115] = 0.142857
  295. [10 , 115] = 0.52381
  296. [2 , 116] = 0.047619
  297. [10 , 116] = 0.047619
  298. [2 , 117] = 0.0952381
  299. [10 , 117] = 0.0952381
  300. [2 , 119] = 0.333333
  301. [10 , 119] = 0.333333
  302. z =
  303. [3 ] = 0.0952381
  304. [7 ] = 0.285714
  305. [9 ] = 0.0952381
  306. [10 ] = 0.047619
  307. [11 ] = 0.47619
  308. [14 ] = 0.0952381
  309. [17 ] = 0.142857
  310. [18 ] = 0.142857
  311. [20 ] = 0.0952381
  312. [21 ] = 0.285714
  313. [22 ] = 0.238095
  314. [25 ] = 0.0952381
  315. [26 ] = 0.0952381
  316. [28 ] = 0.047619
  317. [29 ] = 0.142857
  318. [31 ] = 0.0952381
  319. [32 ] = 0.380952
  320. [33 ] = 0.142857
  321. [34 ] = 0.047619
  322. [35 ] = 0.047619
  323. [36 ] = 0.047619
  324. [37 ] = 0.047619
  325. [38 ] = 0.047619
  326. [40 ] = 0.142857
  327. [42 ] = 0.52381
  328. [44 ] = 0.0952381
  329. [45 ] = 0.047619
  330. [46 ] = 0.047619
  331. [47 ] = 0.047619
  332. [48 ] = 0.047619
  333. [49 ] = 0.047619
  334. [51 ] = 0.142857
  335. [52 ] = 0.047619
  336. [53 ] = 0.47619
  337. [55 ] = 0.0952381
  338. [56 ] = 0.047619
  339. [57 ] = 0.047619
  340. [58 ] = 0.047619
  341. [59 ] = 0.047619
  342. [60 ] = 0.0952381
  343. [62 ] = 0.0952381
  344. [63 ] = 0.428571
  345. [64 ] = 0.0952381
  346. [66 ] = 0.0952381
  347. [67 ] = 0.047619
  348. [68 ] = 0.047619
  349. [69 ] = 0.047619
  350. [70 ] = 0.047619
  351. [71 ] = 0.0952381
  352. [73 ] = 0.47619
  353. [74 ] = 0.047619
  354. [75 ] = 0.142857
  355. [77 ] = 0.047619
  356. [78 ] = 0.047619
  357. [79 ] = 0.047619
  358. [80 ] = 0.047619
  359. [81 ] = 0.047619
  360. [82 ] = 0.0952381
  361. [84 ] = 0.52381
  362. [86 ] = 0.142857
  363. [88 ] = 0.047619
  364. [89 ] = 0.047619
  365. [90 ] = 0.047619
  366. [91 ] = 0.047619
  367. [92 ] = 0.047619
  368. [93 ] = 0.142857
  369. [94 ] = 0.380952
  370. [95 ] = 0.0952381
  371. [97 ] = 0.142857
  372. [98 ] = 0.047619
  373. [100] = 0.0952381
  374. [101] = 0.0952381
  375. [104] = 0.190476
  376. [105] = 0.333333
  377. [106] = 0.0952381
  378. [108] = 0.142857
  379. [109] = 0.142857
  380. [112] = 0.0952381
  381. [115] = 0.52381
  382. [116] = 0.047619
  383. [117] = 0.0952381
  384. [119] = 0.333333
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