2 ( Cree par l'interface Caml/PIP.
3 Résoudre MIN(x', y', z', i, j, k, i', j', k')
8 2*i+4*j+4*k-x-y-z <= 0,
13 2*i'+4*j'+4*k'-x'-y'-z' <= 0,
31 en nombres entiers -1 )(if #[ 0 -1 2 0 0 -1 -1]
32 (if #[ 0 0 1 -1 0 0 1]
33 (if #[ 0 -1 0 0 0 1 -1]
34 (if #[ 0 -1 0 1 0 0 -2]
35 (if #[ 0 2 0 -3 1 0 -4]
36 (if #[ 0 -6 4 3 -1 0 0]
37 (if #[ 0 4 0 -7 1 2 2]
38 (if #[ 0 1 0 0 0 -1 2]
39 (if #[ 0 -6 0 7 -1 0 -4]
40 (if #[ 0 3 2 -7 1 1 0]
41 (if #[ 0 3 0 -5 1 1 -2]
42 (if #[ 0 4 0 -7 1 2 0]
43 (newparm 6 (div #[ 0 1 0 1 1 1 0]
46 (newparm 7 (div #[ 0 1 0 0 0 1 0 1]
49 (newparm 8 (div #[ 0 2 0 3 3 0 0 0 0]
52 (list #[ 1 -1 0 1 0 0 0 0 0 0]
53 #[ 1 -1 0 0 1 0 0 0 0 0]
54 #[ 1 2 0 3 3 2 0 -2 -4 2]
55 #[ 1 -2 0 4 0 0 -1 0 0 0]
56 #[ 1 1 0 -3 0 0 1 0 0 0]
57 #[ 1 -1 0 1 0 0 0 0 0 0]
58 #[ 1 0 0 0 0 1 0 -1 0 1]
59 #[ 1 -1 0 -3 -2 0 0 0 3 0]
60 #[ 1 1 0 4 3 0 0 0 -4 0]
68 (if #[ 0 -9 4 3 -1 3 -6]
69 (if #[ 0 -1 0 0 0 1 -2]
70 (newparm 6 (div #[ 0 3 0 3 3 3 2]
73 (if #[ 0 -6 0 -3 -3 0 4 -8]
74 (newparm 7 (div #[ 0 0 0 0 0 0 2 2]
77 (newparm 8 (div #[ 0 0 0 0 0 0 0 1 0]
80 (newparm 9 (div #[ 0 1 0 0 0 1 0 0 0 1]
83 (newparm 10 (div #[ 0 2 0 3 3 0 0 0 0 0 0]
86 (list #[ 1 -1 0 1 0 0 0 0 0 0 0 0]
87 #[ 1 -1 0 0 1 0 0 0 0 0 0 0]
88 #[ 1 2 0 3 3 2 0 0 0 -2 -4 2]
89 #[ 1 0 0 0 0 0 0 0 0 0 0 1]
90 #[ 1 2 0 0 1 0 0 0 -3 0 0 3]
91 #[ 1 -3 0 0 -1 0 0 0 4 0 0 -4]
92 #[ 1 0 0 0 0 1 0 0 0 -1 0 1]
93 #[ 1 -1 0 -3 -2 0 0 0 0 0 3 0]
94 #[ 1 1 0 4 3 0 0 0 0 0 -4 0]
103 (if #[ 0 -1 0 2 0 -1 -2]
104 (if #[ 0 -4 0 7 -1 -2 0]
105 (if #[ 0 3 2 -7 1 1 0]
106 (if #[ 0 3 0 -5 1 1 -2]
107 (if #[ 0 4 0 -7 1 2 0]
108 (newparm 6 (div #[ 0 1 0 1 1 1 0]
111 (if #[ 0 2 0 -9 -1 0 4 0]
112 (newparm 7 (div #[ 0 1 0 0 0 1 0 1]
115 (newparm 8 (div #[ 0 2 0 3 3 0 0 0 0]
118 (list #[ 1 -1 0 1 0 0 0 0 0 0]
119 #[ 1 -1 0 0 1 0 0 0 0 0]
120 #[ 1 2 0 3 3 2 0 -2 -4 2]
121 #[ 1 -2 0 4 0 0 -1 0 0 0]
122 #[ 1 1 0 -3 0 0 1 0 0 0]
123 #[ 1 -1 0 1 0 0 0 0 0 0]
124 #[ 1 0 0 0 0 1 0 -1 0 1]
125 #[ 1 -1 0 -3 -2 0 0 0 3 0]
126 #[ 1 1 0 4 3 0 0 0 -4 0]
136 (newparm 6 (div #[ 0 1 0 0 0 1 0]
139 (if #[ 0 -9 4 3 -1 -3 6 0]
140 (if #[ 0 -1 0 0 0 -1 2 0]
141 (newparm 7 (div #[ 0 3 0 3 3 1 2 0]
144 (if #[ 0 -6 0 -3 -3 -4 4 4 0]
145 (newparm 8 (div #[ 0 0 0 0 0 1 2 2 0]
148 (newparm 9 (div #[ 0 0 0 0 0 1 0 0 1 0]
151 (newparm 10 (div #[ 0 1 0 0 0 1 0 0 0 0 1]
154 (newparm 11 (div #[ 0 2 0 3 3 0 0 0 0 0 0 0]
157 (list #[ 1 -1 0 1 0 0 0 0 0 0 0 0 0]
158 #[ 1 -1 0 0 1 0 0 0 0 0 0 0 0]
159 #[ 1 2 0 3 3 2 0 0 0 0 -2 -4 2]
160 #[ 1 0 0 0 0 1 -1 0 0 0 0 0 0]
161 #[ 1 2 0 0 1 3 0 0 0 -3 0 0 0]
162 #[ 1 -3 0 0 -1 -4 0 0 0 4 0 0 0]
163 #[ 1 0 0 0 0 1 0 0 0 0 -1 0 1]
164 #[ 1 -1 0 -3 -2 0 0 0 0 0 0 3 0]
165 #[ 1 1 0 4 3 0 0 0 0 0 0 -4 0]
174 (newparm 6 (div #[ 0 1 0 0 0 1 0]
177 (if #[ 0 -9 4 3 -1 -3 6 0]
178 (if #[ 0 -1 0 0 0 -1 2 0]
179 (newparm 7 (div #[ 0 3 0 3 3 1 2 0]
182 (if #[ 0 -6 0 -3 -3 -4 4 4 0]
183 (newparm 8 (div #[ 0 0 0 0 0 1 2 2 0]
186 (newparm 9 (div #[ 0 0 0 0 0 1 0 0 1 0]
189 (newparm 10 (div #[ 0 1 0 0 0 1 0 0 0 0 1]
192 (newparm 11 (div #[ 0 2 0 3 3 0 0 0 0 0 0 0]
195 (list #[ 1 -1 0 1 0 0 0 0 0 0 0 0 0]
196 #[ 1 -1 0 0 1 0 0 0 0 0 0 0 0]
197 #[ 1 2 0 3 3 2 0 0 0 0 -2 -4 2]
198 #[ 1 0 0 0 0 1 -1 0 0 0 0 0 0]
199 #[ 1 2 0 0 1 3 0 0 0 -3 0 0 0]
200 #[ 1 -3 0 0 -1 -4 0 0 0 4 0 0 0]
201 #[ 1 0 0 0 0 1 0 0 0 0 -1 0 1]
202 #[ 1 -1 0 -3 -2 0 0 0 0 0 0 3 0]
203 #[ 1 1 0 4 3 0 0 0 0 0 0 -4 0]
219 (if #[ 0 -3 0 1 1 1 -10]
220 (if #[ 0 1 0 0 0 -1 2]
221 (if #[ 0 -9 4 3 -1 3 -6]
222 (if #[ 0 -1 0 0 0 1 -2]
223 (if #[ 0 -1 0 1 0 0 -1]
224 (newparm 6 (div #[ 0 3 0 3 3 3 2]
227 (if #[ 0 -6 0 -3 -3 0 4 -8]
228 (newparm 7 (div #[ 0 0 0 0 0 0 2 2]
231 (newparm 8 (div #[ 0 0 0 0 0 0 0 1 0]
234 (newparm 9 (div #[ 0 1 0 0 0 1 0 0 0 1]
237 (newparm 10 (div #[ 0 2 0 3 3 0 0 0 0 0 0]
240 (list #[ 1 0 0 0 0 0 0 0 0 0 0 1]
241 #[ 1 0 0 4 4 0 0 0 0 0 -4 -1]
242 #[ 1 0 0 0 0 2 0 0 0 -2 0 2]
243 #[ 1 0 0 0 0 0 0 0 0 0 0 1]
244 #[ 1 2 0 0 1 0 0 0 -3 0 0 3]
245 #[ 1 -3 0 0 -1 0 0 0 4 0 0 -4]
246 #[ 1 0 0 0 0 1 0 0 0 -1 0 1]
247 #[ 1 0 0 1 1 0 0 0 0 0 -1 -1]
248 #[ 1 0 0 0 0 0 0 0 0 0 0 1]
258 (if #[ 0 -2 0 1 1 0 -8]
259 (if #[ 0 -6 4 3 -1 0 0]
260 (if #[ 0 -1 0 1 0 0 -1]
261 (newparm 6 (div #[ 0 1 0 0 0 1 0]
264 (if #[ 0 -9 4 3 -1 -3 6 0]
265 (if #[ 0 -1 0 0 0 -1 2 0]
266 (newparm 7 (div #[ 0 3 0 3 3 1 2 0]
269 (if #[ 0 -6 0 -3 -3 -4 4 4 0]
270 (newparm 8 (div #[ 0 0 0 0 0 1 2 2 0]
273 (newparm 9 (div #[ 0 0 0 0 0 1 0 0 1 0]
276 (newparm 10 (div #[ 0 1 0 0 0 1 0 0 0 0 1]
279 (newparm 11 (div #[ 0 2 0 3 3 0 0 0 0 0 0 0]
282 (list #[ 1 0 0 0 0 0 0 0 0 0 0 0 1]
283 #[ 1 0 0 4 4 0 0 0 0 0 0 -4 -1]
284 #[ 1 0 0 0 0 2 0 0 0 0 -2 0 2]
285 #[ 1 0 0 0 0 1 -1 0 0 0 0 0 0]
286 #[ 1 2 0 0 1 3 0 0 0 -3 0 0 0]
287 #[ 1 -3 0 0 -1 -4 0 0 0 4 0 0 0]
288 #[ 1 0 0 0 0 1 0 0 0 0 -1 0 1]
289 #[ 1 0 0 1 1 0 0 0 0 0 0 -1 -1]
290 #[ 1 0 0 0 0 0 0 0 0 0 0 0 1]
310 (if #[ 0 -1 2 -1 0 0 0]
311 (if #[ 0 -1 2 -2 0 1 1]
312 (if #[ 0 1 -2 2 0 -1 0]
313 (if #[ 0 -4 0 7 -1 -2 -2]
315 (if #[ 0 -6 4 3 -1 0 0]
316 (if #[ 0 4 0 -7 1 2 0]
317 (newparm 6 (div #[ 0 1 0 1 1 1 0]
320 (newparm 7 (div #[ 0 1 0 0 0 1 0 1]
323 (newparm 8 (div #[ 0 0 1 0 2 0 0 0 0]
326 (list #[ 1 -1 0 1 0 0 0 0 0 0]
327 #[ 1 -1 0 0 1 0 0 0 0 0]
328 #[ 1 2 0 -1 3 2 0 -2 -4 2]
329 #[ 1 -2 0 4 0 0 -1 0 0 0]
330 #[ 1 1 0 -3 0 0 1 0 0 0]
331 #[ 1 -1 0 1 0 0 0 0 0 0]
332 #[ 1 0 0 0 0 1 0 -1 0 1]
333 #[ 1 -1 0 0 -2 0 0 0 3 0]
334 #[ 1 1 0 0 3 0 0 0 -4 0]
341 (if #[ 0 -4 0 7 -1 -2 -2]
343 (if #[ 0 -6 4 3 -1 0 0]
344 (if #[ 0 -4 0 7 -1 -2 0]
345 (if #[ 0 4 0 -7 1 2 0]
346 (newparm 6 (div #[ 0 1 0 1 1 1 0]
349 (if #[ 0 2 0 -9 -1 0 4 0]
350 (newparm 7 (div #[ 0 1 0 0 0 1 0 1]
353 (newparm 8 (div #[ 0 2 0 3 3 0 0 0 0]
356 (list #[ 1 -1 0 1 0 0 0 0 0 0]
357 #[ 1 -1 0 0 1 0 0 0 0 0]
358 #[ 1 2 0 3 3 2 0 -2 -4 2]
359 #[ 1 -2 0 4 0 0 -1 0 0 0]
360 #[ 1 1 0 -3 0 0 1 0 0 0]
361 #[ 1 -1 0 1 0 0 0 0 0 0]
362 #[ 1 0 0 0 0 1 0 -1 0 1]
363 #[ 1 -1 0 -3 -2 0 0 0 3 0]
364 #[ 1 1 0 4 3 0 0 0 -4 0]
370 (newparm 6 (div #[ 0 1 0 0 0 1 0]
373 (if #[ 0 -9 4 3 -1 -3 6 0]
374 (if #[ 0 -1 0 0 0 -1 2 0]
375 (newparm 7 (div #[ 0 3 0 3 3 1 2 0]
378 (if #[ 0 -6 0 -3 -3 -4 4 4 0]
379 (newparm 8 (div #[ 0 0 0 0 0 1 2 2 0]
382 (newparm 9 (div #[ 0 0 0 0 0 1 0 0 1 0]
385 (newparm 10 (div #[ 0 1 0 0 0 1 0 0 0 0 1]
388 (newparm 11 (div #[ 0 2 0 3 3 0 0 0 0 0 0 0]
391 (list #[ 1 -1 0 1 0 0 0 0 0 0 0 0 0]
392 #[ 1 -1 0 0 1 0 0 0 0 0 0 0 0]
393 #[ 1 2 0 3 3 2 0 0 0 0 -2 -4 2]
394 #[ 1 0 0 0 0 1 -1 0 0 0 0 0 0]
395 #[ 1 2 0 0 1 3 0 0 0 -3 0 0 0]
396 #[ 1 -3 0 0 -1 -4 0 0 0 4 0 0 0]
397 #[ 1 0 0 0 0 1 0 0 0 0 -1 0 1]
398 #[ 1 -1 0 -3 -2 0 0 0 0 0 0 3 0]
399 #[ 1 1 0 4 3 0 0 0 0 0 0 -4 0]