Enigme Des nombres 2 @ Prise2Tete

gabrielduflot · #1

Meme chose que pour les nombres 1. On va compliquer un petit peu
Jusqu'à quel nombre peut-on arriver en utilisant tous les chiffres de 1 à 9 sauf le 0. on peut utiliser tous les signes mathématiques. Si on utilise la racine cubique on ne pourra pas utiliser le 3; si on utilise une puissance on ne peut plus utiliser l'exposant.

exemple
(2x3)/6+(4+5)/9+7-8-1=0
(2+1+3)/6+(4+5)/9+7-8=1

dhrm77 · #2

Je commence:
0 = 9-8-7+6+5-4-3+2*1
1 = 9-8-7+6+5-4-3+2+1
2 = 9-8-7+6+5-4+3-2*1
3 = 9-8-7+6+5-4+3-2+1
4 = 9-8-7+6+5+4-3-2*1
5 = 9-8+7-6+5-4+3-2+1
6 = 9-8+7-6+5+4-3-2*1
7 = 9-8+7-6+5-4+3+2-1
8 = 9-8+7-6+5-4+3+2*1
9 = 9-8+7-6+5-4+3+2+1
10 = 9-8+7+6-5-4+3+2*1
11 = 9-8+7+6-5-4+3+2+1
12 = 9-8+7+6-5+4-3+2*1
13 = 9-8+7+6-5+4-3+2+1
14 = 9-8+7+6-5+4+3-2*1
15 = 9-8+7+6-5+4+3-2+1
16 = 9-8+7+6+5-4+3-2*1
17 = 9-8+7+6+5-4+3-2+1
18 = 9-8+7+6+5+4-3-2*1
19 = 9-8+7+6+5+4-3-2+1
20 = 9+8+7-6+5-4+3-2*1
21 = 9+8+7-6+5-4+3-2+1
22 = 9+8+7+6-5-4+3-2*1
23 = 9+8+7+6-5-4+3-2+1
24 = 9+8+7+6-5+4-3-2*1
25 = 9+8+7+6-5+4-3-2+1
26 = 9+8-7+6+5+4+3-2*1
27 = 9+8+7+6-5+4-3+2-1
28 = 9+8+7-6+5+4+3-2*1
29 = 9+8+7+6-5+4-3+2+1
30 = 9+8+7+6-5+4+3-2*1
31 = 9+8+7+6-5+4+3-2+1
32 = 9+8+7+6+5-4+3-2*1
33 = 9+8+7+6+5-4+3-2+1
34 = 9+8+7+6+5+4-3-2*1
35 = 9+8+7+6+5+4-3-2+1
36 = 9+8+7+6+5-4+3+2*1
37 = 9+8+7+6+5-4+3+2+1
38 = 9+8+7+6+5+4-3+2*1
39 = 9+8+7+6+5+4-3+2+1
40 = 9+8+7+6+5+4+3-2*1
41 = 9+8+7+6+5+4+3-2+1
42 = 9+8+7-6+5*4+3+2-1
43 = 9+8+7+6+5+4+3+2-1
44 = 9+8+7+6+5+4+3+2*1
45 = 9+8+7+6+5+4+3+2+1
46 = 9+8+7+6+5*4-3-2+1
47 = 9-8+7+6*5+4+3+2*1
48 = 9+8+7+6+5*4-3+2-1
49 = 9+8+7+6+5*4-3+2*1
50 = 9+8+7+6+5*4-3+2+1
51 = 9+8+7+6+5*4+3-2*1
52 = 9+8+7+6+5*4+3-2+1
53 = 9+8+7+6*5+4-3+2*1
54 = 9+8+7+6+5*4+3+2-1
55 = 9+8+7+6+5*4+3+2*1
56 = 9+8+7+6+5*4+3+2+1
57 = 9+8+7+6+5*4+3*2+1
58 = 9+8+7+6+5+4*3*2-1
59 = 9+8+7+6+5+4*3*2*1
60 = 9+8+7+6+5+4*3*2+1
61 = 9+8+7*6+5+4-3*2-1
62 = 9+8+7+6*5+4+3+2-1
63 = 9+8+7+6*5+4+3+2*1
64 = 9+8+7+6*5+4+3+2+1
65 = 9+8+7+6*5+4+3*2+1
66 = 9+8+7*6+5+4-3+2-1
67 = 9+8+7+6*5+4*3+2-1
68 = 9+8+7+6*5+4*3+2*1
69 = 9+8+7+6*5+4*3+2+1
70 = 9+8+7*6+5+4+3-2+1
71 = 9+8*7+6+5-4-3+2*1
72 = 9+8+7*6+5+4+3+2-1
73 = 9+8+7*6+5+4+3+2*1
74 = 9*8+7-6+5-4+3-2-1
75 = 9*8+7-6+5-4+3-2*1
76 = 9*8+7-6+5-4+3-2+1
77 = 9+8+7+6*5+4*3*2-1
78 = 9*8+7-6+5-4+3+2-1
79 = 9*8+7-6+5-4+3+2*1
80 = 9*8+7-6+5-4+3+2+1
81 = 9*8+7-6+5+4-3+2*1
82 = 9*8+7-6+5+4-3+2+1
83 = 9*8+7-6+5+4+3-2*1
84 = 9*8+7-6+5+4+3-2+1
85 = 9+8+7*6+5*4+3+2+1
86 = 9*8+7-6+5+4+3+2-1
87 = 9*8+7-6+5+4+3+2*1
88 = 9*8+7-6+5+4+3+2+1
89 = 9*8+7+6+5+4-3-2*1
90 = 9*8+7+6+5+4-3-2+1
91 = 9+8+7+6+5*4*3+2-1
92 = 9*8+7+6+5+4-3+2-1
93 = 9*8+7+6+5+4-3+2*1
94 = 9*8+7+6+5+4-3+2+1
95 = 9*8+7+6+5+4+3-2*1
96 = 9*8+7+6+5+4+3-2+1
97 = 9+8*7+6+5*4+3+2+1
98 = 9*8+7+6+5+4+3+2-1
99 = 9*8+7+6+5+4+3+2*1

Edit: Comme c'était trop facile, je viens de le refaire en n'utilisant ni la division ni les parentheses et en gardant les chiffres dans l'ordre de décroissant.
(et ce, jusqu'à 151),

TiRoms · #3

Une petite :
(5-(4/(1+3)))/((0+7+8+9)/(2*6)) = 2

Effectivement : 5-(4/(1+3)) = 5-(4/4) = 4
et (0+7+8+9)/(2*6) = 24/12 = 2
d'où 4/2 = 2.

J'adore ce genre de truc...

gabrielduflot · #4

Allez avis a d'autres personnes pour les nombres supérieur a 101

Damnation · #5

Ouch la flemme J'en ai déjà fait un grand sur Des Nombres 1 ^^

dhrm77 · #6

Je continue jusqu'a 199...:

100 = 9*8+7+6+5+4+3+2+1
101 = 9+8*7+6+5+4*3*2+1
102 = 9-8+7*6+5*4*3-2+1
103 = 9+8*7+6*5+4+3+2-1
104 = 9+8*7+6*5+4+3+2*1
105 = 9+8*7+6*5+4+3+2+1
106 = 9+8*7+6*5+4+3*2+1
107 = 9-8-7+6*5*4-3*2-1
108 = 9+8*7+6*5+4*3+2-1
109 = 9*8+7*6-5-4+3+2-1
110 = 9*8+7*6-5-4+3+2*1
111 = 9*8+7*6-5-4+3+2+1
112 = 9*8+7*6-5+4-3+2*1
113 = 9*8+7*6-5+4-3+2+1
114 = 9*8+7*6-5+4+3-2*1
115 = 9*8+7*6-5+4+3-2+1
116 = 9+8+7*6+5*4*3-2-1
117 = 9+8+7*6+5*4*3-2*1
118 = 9+8+7*6+5*4*3-2+1
119 = 9+8*7+6*5+4*3*2*1
120 = 9+8+7*6+5*4*3+2-1
121 = 9+8+7*6+5*4*3+2*1
122 = 9+8+7*6+5*4*3+2+1
123 = 9+8-7+6*5*4-3*2-1
124 = 9+8-7+6*5*4-3-2-1
125 = 9+8-7+6*5*4-3-2*1
126 = 9+8-7+6*5*4-3-2+1
127 = 9-8+7+6*5*4-3+2*1
128 = 9+8-7+6*5*4-3+2-1
129 = 9+8-7+6*5*4-3+2*1
130 = 9+8-7+6*5*4+3-2-1
131 = 9+8-7+6*5*4+3-2*1
132 = 9+8-7+6*5*4+3-2+1
133 = 9+8*7+6+5*4*3+2*1
134 = 9+8-7+6*5*4+3+2-1
135 = 9+8-7+6+5*4*3*2-1
136 = 9+8-7+6+5*4*3*2*1
137 = 9+8+7+6*5*4-3*2-1
138 = 9+8+7+6*5*4-3-2-1
139 = 9+8+7+6*5*4-3-2*1
140 = 9+8+7+6*5*4-3-2+1
141 = 9*8+7*6+5*4+3*2+1
142 = 9+8+7+6*5*4-3+2-1
143 = 9+8+7+6*5*4-3+2*1
144 = 9+8+7+6*5*4+3-2-1
145 = 9+8+7+6*5*4+3-2*1
146 = 9+8+7+6*5*4+3-2+1
147 = 9*8+7+6+5*4*3+2*1
148 = 9+8+7+6*5*4+3+2-1
149 = 9+8+7+6+5*4*3*2-1
150 = 9+8+7+6+5*4*3*2*1
151 = 9+8+7+6+5*4*3*2+1
152 = 9+8*7*6*5/4/3+2+1
153 = 9*(8+7)+6+5+4+3*(2-1)
154 = 9*(8+7)+6+5+4+3+2-1
155 = 9*(8+7)+6+5+4+3+2*1
156 = 9+8+7*6*5*4/3/2-1
157 = 9+8+7*6*5*4/3/2*1
158 = 9+8+7*6*5*4/3/2+1
159 = 9*8+7+6*5*4/3*2*1
160 = 9*8+7+6*5*4/3*2+1
161 = 9*(8+7)+6+5+4*3+2+1
162 = 9-8+7*6+5*4*3*2-1
163 = 9-8+7*6+5*4*3*2*1
164 = 9-8+7*6+5*4*3*2+1
165 = 9*(8+7)+6+5*4+3+2-1
166 = 9*(8+7)+6+5*4+3+2*1
167 = 9*(8+7)+6+5*4+3+2+1
168 = 9*(8+7)+6+5*4+3*2+1
169 = 9*(8+7)+6*5+4-3+2+1
170 = 9*(8+7)+6*5+4+3-2*1
171 = 9*8+7*6+5*4*3-2-1
172 = 9*8+7*6+5*4*3-2*1
173 = 9*8+7*6+5*4*3-2+1
174 = 9-8-7+6*5*4*3/2*1
175 = 9*8+7*6+5*4*3+2-1
176 = 9*8+7*6+5*4*3+2*1
177 = 9*8+7*6+5*4*3+2+1
178 = 9+8+7*6+5*4*3*2-1
179 = 9+8+7*6+5*4*3*2*1
180 = 9+8+7*6+5*4*3*2+1
181 = 9+8*7+6*5*4-3-2+1
182 = 9*(8+7)+6*(5+4)-3*2-1
183 = 9+8*7+6*5*4-3+2-1
184 = 9+8*7+6*5*4-3+2*1
185 = 9+8*7+6*5*4+3-2-1
186 = 9+8*7+6*5*4+3-2*1
187 = 9+8*7+6*5*4+3-2+1
188 = 9-8+7*6*5-4*3*2+1
189 = 9+8*7+6*5*4+3+2-1
190 = 9+8*7+6+5*4*3*2-1
191 = 9+8*7+6+5*4*3*2*1
192 = 9+8*7+6+5*4*3*2+1
193 = 9*8+7+6*5*4-3-2-1
194 = 9*8+7+6*5*4-3-2*1
195 = 9*8+7+6*5*4-3-2+1
196 = 9-8+7*6*5-4*3-2-1
197 = 9-8+7*6*5-4*3-2*1
198 = 9-8+7*6*5-4*3-2+1
199 = 9*8+7+6*5*4+3-2-1

A 152, je rajoute la division.
A 153, je rajoute les parentheses.

dhrm77 · #7

Je continue, toujours en respectant l'ordre des chiffres de 9 a 1,
et en minimisant l'usage des parentheses:

200 = 9-8+7*6*5-4-3*2-1
201 = 9-8+7*6*5-4-3-2-1
202 = 9+8+7*6*5-4*3*2-1
203 = 9+8+7*6*5-4*3*2*1
204 = 9+8+7*6*5-4*3*2+1
205 = 9-8+7*6*5-4-3+2-1
206 = 9-8+7*6*5-4-3+2*1
207 = 9-8+7*6*5-4+3-2-1
208 = 9-8+7*6*5+4-3*2-1
209 = 9-8+7*6*5+4-3-2-1
210 = 9-8+7*6*5+4-3-2*1
211 = 9-8+7*6*5+4-3-2+1
212 = 9+8+7*6*5-4*3-2-1
213 = 9+8+7*6*5-4*3-2*1
214 = 9+8+7*6*5-4*3-2+1
215 = 9-8+7*6*5+4+3-2-1
216 = 9+8+7*6*5-4-3*2-1
217 = 9+8+7*6*5-4-3-2-1
218 = 9+8+7*6*5-4-3-2*1
219 = 9+8+7*6*5-4-3-2+1
220 = 9-8+7*6*5+4+3+2*1
221 = 9+8+7*6*5-4-3+2-1
222 = 9+8+7*6*5-4-3+2*1
223 = 9+8+7*6*5-4+3-2-1
224 = 9+8+7*6*5+4-3*2-1
225 = 9+8+7*6*5+4-3-2-1
226 = 9+8+7*6*5+4-3-2*1
227 = 9+8+7*6*5+4-3-2+1
228 = 9+8+7*6*5-4+3+2*1
229 = 9+8+7*6*5+4-3+2-1
230 = 9+8+7*6*5+4-3+2*1
231 = 9+8+7*6*5+4+3-2-1
232 = 9+8+7*6*5+4+3-2*1
233 = 9+8+7*6*5+4+3-2+1
234 = 9-8+7*6*5+4*3*2-1
235 = 9+8+7*6*5+4+3+2-1
236 = 9+8+7*6*5+4+3+2*1
237 = 9+8+7*6*5+4+3+2+1
238 = 9+8+7*6*5+4+3*2+1
239 = 9+8+7*6*5+4*3*(2-1)
240 = 9+8+7*6*5+4*3+2-1
241 = 9+8+7*6*5+4*3+2*1
242 = 9+8+7*6*5+4*3+2+1
243 = 9+8+7*6*5+4*(3+2-1)
244 = 9+8*7+6*5*4*3/2-1
245 = 9+8*7+6*5*4*3/2*1
246 = 9+8*7+6*5*4*3/2+1
247 = 9+8+7*6*5+4*(3+2)*1
248 = 9+8+7*6*5+4*(3+2)+1
249 = 9*(8+7+6+5)+4*3+2+1
250 = 9+8+7*6*5+4*3*2-1
251 = 9+8+7*6*5+4*3*2*1
252 = 9+8+7*6*5+4*3*2+1
253 = 9*(8+7+6+5+(4-3)*2)+1
254 = 9*8+7*6*5-4*(3*2+1)
255 = 9*(8+7+6+5+(4/3)+2-1)
256 = (9+8-7+6)*(5+4+3*2+1)
257 = 9*8+7*6*5-4*3*2-1
258 = 9*8+7*6*5-4*3*2*1
259 = 9*8+7*6*5-4*3*2+1
260 = 9*8+7+6*5*4*3/2+1
261 = 9*8+7*6*5-4*(3+2)-1
262 = 9*8+7*6*5-4*(3+2)*1
263 = 9*8+7*6*5-4*(3+2)+1
264 = 9*(8+7+6+5+4)-3*2*1
265 = 9*(8+7+6+5+4)-3-2*1
266 = 9*8+7*6*5-4*(3+2-1)
267 = 9*8+7*6*5-4*3-2-1
268 = 9*8+7*6*5-4*3-2*1
269 = 9*8+7*6*5-4*3-2+1
270 = 9*8+7*6*5-4*3*(2-1)
271 = 9*8+7*6*5-4-3*2-1
272 = 9*8+7*6*5-4-3-2-1
273 = 9*8+7*6*5-4-3-2*1
274 = 9*8+7*6*5-4-3-2+1
275 = 9*(8+7+6+5+4)+3+2*1
276 = 9*8+7*6*5-4-3+2-1
277 = 9*8+7*6*5-4-3+2*1
278 = 9*8+7*6*5-4+3-2-1
279 = 9*8+7*6*5+4-3*2-1
280 = 9*8+7*6*5+4-3-2-1
281 = 9*8+7*6*5+4-3-2*1
282 = 9+8*7*6-5*4*3-2-1
283 = 9+8*7*6-5*4*3-2*1
284 = 9+8*7*6-5*4*3-2+1
285 = 9*8+7*6*5+4-3+2*1
286 = 9+8*7*6-5*4*3+2-1
287 = 9+8*7*6-5*4*3+2*1
288 = 9+8*7*6-5*4*3+2+1
289 = 9+8*(7*6-5-4+3-2+1)
290 = 9*8+7*6*5+4+3+2-1
291 = 9*8+7*6*5+4+3+2*1
292 = 9*8+7*6*5+4+3+2+1
293 = 9*8+7*6*5+4+3*2+1
294 = 9*(7+6*5-4)-3*(2-1)
295 = 9*8+7*6*5+4*3+2-1
296 = 9*8+7*6*5+4*3+2*1
297 = 9*8+7*6*5+4*3+2+1
298 = 9+8+7*6*5*4/3+2-1
299 = 9+8+7*6*5*4/3+2*1

dhrm77 · #8

De 300 à 399... toujours dans l'ordre décroissant:

300 = 9+8+7*6*5*4/3+2+1
301 = (9+8)*(7+6+5)-4-3+2*1
302 = (9+8)*(7+6+5)-4-3+2+1
303 = (9+8)*(7+6+5)-4+3-2*1
304 = (9+8)*(7+6+5)-4+3-2+1
305 = 9*8+7*6*5+4*3*2-1
306 = 9*8+7*6*5+4*3*2*1
307 = 9*8+7*6*5+4*3*2+1
308 = 9-8+7+6*5*(4+3+2+1)
309 = 9-8-7*(6-5*(4+3+2+1))
310 = 9-8*7+6*5*4*3-2-1
311 = 9-8*7+6*5*4*3-2*1
312 = 9-8*7+6*5*4*3-2+1
313 = 9*8*7/6*5/4*3-2*1
314 = 9-8*7+6*5*4*3+2-1
315 = 9+8*7*6-5-4*3*2-1
316 = 9+8*7*6-5-4*3*2*1
317 = 9+8*7*6-5-4*3*2+1
318 = 9+8*7*6-5*4-3*2-1
319 = 9+8*7*6-5*4-3-2-1
320 = 9+8*7*6-5*4-3-2*1
321 = 9+8*7*6-5*4-3-2+1
322 = 9-8+7*(6+5+4*3)*2-1
323 = 9+8*7*6-5*4-3+2-1
324 = 9+8*7*6-5*4-3+2*1
325 = 9+8*7*6+5-4*3*2-1
326 = 9+8*7*6+5-4*3*2*1
327 = 9+8*7*6+5-4*3*2+1
328 = 9+8*(7+6-5+4*3)*2-1
329 = 9+8*7*6-5-4-3*2-1
330 = 9+8*7*6-5-4-3-2-1
331 = 9+8*7*6-5-4-3-2*1
332 = 9+8*7*6-5-4-3-2+1
333 = 9+8*7*6-5-4*3/2-1
334 = 9+8*7*6-5-4-3+2-1
335 = 9+8*7*6+5-4*3-2-1
336 = 9+8*7*6+5-4*3-2*1
337 = 9+8*7*6+5-4*3-2+1
338 = 9+8*7*6-5+4-3-2-1
339 = 9+8*7*6+5-4-3*2-1
340 = 9+8*7*6+5-4-3-2-1
341 = 9+8*7*6+5-4-3-2*1
342 = 9+8*7*6+5-4-3-2+1
343 = 9+8*7*6-5+4-3+2*1
344 = 9+8*7*6+5-4-3+2-1
345 = 9+8*7*6+5-4-3+2*1
346 = 9+8*7*6+5-4+3-2-1
347 = 9+8*7*6+5+4-3*2-1
348 = 9+8*7*6+5+4-3-2-1
349 = 9+8*7*6+5+4-3-2*1
350 = 9+8*7*6+5+4-3-2+1
351 = 9+8*7*6+5-4+3+2*1
352 = 9+8*7*6+5+4-3+2-1
353 = 9+8*7*6+5+4-3+2*1
354 = 9+8*7*6+5+4+3-2-1
355 = 9+8*7*6+5+4+3-2*1
356 = 9+8*7*6+5+4+3-2+1
357 = 9-8-7+6*5*4*3+2+1
358 = 9+8*7*6+5+4+3+2-1
359 = 9+8*7*6+5+4+3+2*1
360 = 9+8*7*6+5+4+3+2+1
361 = 9+8*7*6+5+4+3*2+1
362 = 9*(8*7-6-5-4)-3*2-1
363 = 9+8*7*6+5+4*3+2-1
364 = 9+8*7*6+5+4*3+2*1
365 = 9+8*7*6+5+4*3+2+1
366 = 9+8*7*6+5*4+3-2*1
367 = 9+8-7+6*5*4*3-2-1
368 = 9+8-7+6*5*4*3-2*1
369 = 9+8-7+6*5*4*3-2+1
370 = 9+8*7*6+5*4+3+2*1
371 = 9+8-7+6*5*4*3+2-1
372 = 9+8-7+6*5*4*3+2*1
373 = 9+8-7+6*5*4*3+2+1
374 = 9+8*7*6+5+4*3*2*1
375 = 9+8*7*6+5+4*3*2+1
376 = 9+8*7*6+5*4*3/2+1
377 = 9*8*7-6-5*4*3*2-1
378 = 9*8*7-6-5*4*3*2*1
379 = 9*8*7-6-5*4*3*2+1
380 = 9*8*7-6*5*4-3-2+1
381 = 9+8+7+6*5*4*3-2-1
382 = 9+8+7+6*5*4*3-2*1
383 = 9+8+7+6*5*4*3-2+1
384 = 9*8*7-6*5*4+3-2-1
385 = 9+8+7+6*5*4*3+2-1
386 = 9+8+7+6*5*4*3+2*1
387 = 9+8+7+6*5*4*3+2+1
388 = 9*8*7-6*5*4+3+2-1
389 = 9*8*7+6-5*4*3*2-1
390 = 9*8*7+6-5*4*3*2*1
391 = 9*8*7+6-5*4*3*2+1
392 = 9-8-7*(6-5*4*3-2)-1
393 = 9*(8*7-6-5-4+3)-2-1
394 = 9*(8*7-6-5-4+3)-2*1
395 = 9*8*7/6*5-4*3*2-1
396 = 9*8*7/6*5-4*3*2*1
397 = 9*8*7/6*5-4*3*2+1
398 = 9*(8*7-6-5-4+3)+2*1
399 = 9*(8*7-6-5-4+3)+2+1

dhrm77 · #9

De 400 à 499... toujours dans l'ordre décroissant:

400 = 9*(8*7-6-5)-4-3+2*1
401 = 9*(8*7-6-5)-4-3+2+1
402 = 9+8*7*6+5*4*3-2-1
403 = 9+8*7*6+5*4*3-2*1
404 = 9+8*7*6+5*4*3-2+1
405 = 9*8*7/6*5-4*3-2-1
406 = 9+8*7*6+5*4*3+2-1
407 = 9+8*7*6+5*4*3+2*1
408 = 9+8*7*6+5*4*3+2+1
409 = 9*8*7/6*5-4-3*2-1
410 = 9*8*7/6*5-4-3-2-1
411 = 9*8*7/6*5-4-3-2*1
412 = 9*8*7/6*5-4-3-2+1
413 = 9*8*7/6*5-4*3/2-1
414 = 9*8*7/6*5-4-3+2-1
415 = 9*8*7/6*5-4-3+2*1
416 = 9*8*7/6*5-4+3-2-1
417 = 9*8*7/6*5+4-3*2-1
418 = 9*8*7/6*5+4-3-2-1
419 = 9*8*7/6*5+4-3-2*1
420 = 9*8*7/6*5+4-3-2+1
421 = 9*8*7/6*5-4+3+2*1
422 = 9+8*7+6*5*4*3-2-1
423 = 9+8*7+6*5*4*3-2*1
424 = 9+8*7+6*5*4*3-2+1
425 = 9+8*7*6*5/4-3-2+1
426 = 9+8*7+6*5*4*3+2-1
427 = 9+8*7+6*5*4*3+2*1
428 = 9+8*7+6*5*4*3+2+1
429 = 9+8*7*6*5/4+3-2-1
430 = 9+8*7*6*5/4+3-2*1
431 = 9+8*7*6*5/4+3-2+1
432 = 9*(8*7-6-5+4)-3*(2+1)
433 = 9+8*7*6*5/4+3+2-1
434 = 9+8*7*6*5/4+3+2*1
435 = 9*8*7-6-5*4*3-2-1
436 = 9*8+7+6*5*4*3-2-1
437 = 9*8+7+6*5*4*3-2*1
438 = 9*8+7+6*5*4*3-2+1
439 = 9*8*7-6-5*4*3+2-1
440 = 9*8+7+6*5*4*3+2-1
441 = 9*8+7+6*5*4*3+2*1
442 = 9*8+7+6*5*4*3+2+1
443 = 9*8*7/6*5+4*3*2-1
444 = 9*8*7/6*5+4*3*2*1
445 = 9*8*7/6*5+4*3*2+1
446 = 9*(8*7-6)-5+4-3*(2-1)
447 = 9*8*7+6-5*4*3-2-1
448 = 9*8*7+6-5*4*3-2*1
449 = 9*8*7+6-5*4*3-2+1
450 = 9*8*7-6*5-4*3*2*1
451 = 9*8*7+6-5*4*3+2-1
452 = 9*8*7+6-5*4*3+2*1
453 = 9*8*7+6-5*4*3+2+1
454 = 9*(8*7-6)+5+4-3-2*1
455 = 9*(8*7-6)+5+4-3-2+1
456 = 9*(8*7-6)+5+4-3*(2-1)
457 = 9*(8*7-6)+5+4-3+2-1
458 = 9*(8*7-6)+5+4-3+2*1
459 = 9*8*7-6*5-4*3-2-1
460 = 9*8*7-6*5-4*3-2*1
461 = 9*8*7-6*5-4*3-2+1
462 = 9*8*7-6*5*4/3-2*1
463 = 9*8*7-6*5-4-3*2-1
464 = 9+8*7*6+5*4*3*2-1
465 = 9+8*7*6+5*4*3*2*1
466 = 9+8*7*6+5*4*3*2+1
467 = 9*8*7-6-5*4*3/2-1
468 = 9*8*7-6-5-4*3*2-1
469 = 9*8*7-6-5-4*3*2*1
470 = 9*8*7-6-5-4*3*2+1
471 = 9*8*7-6-5*4-3*2-1
472 = 9*8*7-6-5*4-3-2-1
473 = 9*8*7-6-5*4-3-2*1
474 = 9*8*7-6-5*4-3-2+1
475 = 9*8*7-6*5-4+3+2*1
476 = 9*8*7-6-5*4-3+2-1
477 = 9*8*7-6-5*4-3+2*1
478 = 9*8*7-6+5-4*3*2-1
479 = 9*8*7-6+5-4*3*2*1
480 = 9*8*7+6-5-4*3*2-1
481 = 9*8*7+6-5-4*3*2*1
482 = 9*8*7+6-5-4*3*2+1
483 = 9*8*7+6-5*4-3*2-1
484 = 9*8*7+6-5*4-3-2-1
485 = 9*8*7+6-5*4-3-2*1
486 = 9*8*7+6-5*4-3-2+1
487 = 9*8*7-6-5-4-3+2-1
488 = 9*8*7+6-5*4-3+2-1
489 = 9*8*7+6-5*4-3+2*1
490 = 9*8*7+6+5-4*3*2-1
491 = 9*8*7+6+5-4*3*2*1
492 = 9*8*7+6+5-4*3*2+1
493 = 9*8*7-6+5-4-3-2-1
494 = 9*8*7+6-5-4-3*2-1
495 = 9*8*7+6-5-4-3-2-1
496 = 9*8*7+6-5-4-3-2*1
497 = 9*8*7+6-5-4-3-2+1
498 = 9*8*7-6+5-4-3+2*1
499 = 9*8*7+6-5-4-3+2-1

dhrm77 · #10

Ca devient de plus en plus difficile de continuer en conservant les chiffres dans l'ordre décroissant, mais voici quand même la suite de 500 à 599:

500 = 9*8*7+6+5-4*3-2-1
501 = 9*8*7+6+5-4*3-2*1
502 = 9*8*7+6+5-4*3-2+1
503 = 9*8*7+6-5+4-3-2-1
504 = 9*8*7+6+5-4-3*2-1
505 = 9*8*7+6+5-4-3-2-1
506 = 9*8*7+6+5-4-3-2*1
507 = 9*8*7+6+5-4-3-2+1
508 = 9*8*7+6+5-4*3/2-1
509 = 9*8*7+6+5-4-3+2-1
510 = 9*8*7+6+5-4-3+2*1
511 = 9*8*7+6+5-4+3-2-1
512 = 9*8*7+6+5+4-3*2-1
513 = 9*8*7+6+5+4-3-2-1
514 = 9*8*7+6+5+4-3-2*1
515 = 9*8*7+6+5+4-3-2+1
516 = 9*8*7+6+5-4+3+2*1
517 = 9*8*7+6+5+4-3+2-1
518 = 9*8*7+6+5+4-3+2*1
519 = 9*8*7+6+5+4+3-2-1
520 = 9*8*7+6+5+4+3-2*1
521 = 9*8*7+6+5+4+3-2+1
522 = 9*8*7+6+5+4*3/2+1
523 = 9*8*7+6+5+4+3+2-1
524 = 9*8*7+6+5+4+3+2*1
525 = 9*8*7+6+5+4+3+2+1
526 = 9*8*7+6+5+4+3*2+1
527 = 9*8*7+6*5-4*3/2-1
528 = 9*8*7+6+5+4*3+2-1
529 = 9*8*7+6+5+4*3+2*1
530 = 9*8*7+6+5+4*3+2+1
531 = 9*8*7+6+5*4+3-2*1
532 = 9*8*7+6+5*4+3-2+1
533 = 9*8*7+6*5+4-3-2*1
534 = 9*8*7+6+5*4+3+2-1
535 = 9*8*7+6+5*4+3+2*1
536 = 9*8*7+6+5*4+3+2+1
537 = 9*8*7+6+5*4+3*2+1
538 = 9*8*7+6+5+4*3*2-1
539 = 9*8*7+6+5+4*3*2*1
540 = 9*8*7+6+5+4*3*2+1
541 = 9*8*7+6+5*4*3/2+1
542 = 9*8*7+6*5+4+3+2-1
543 = 9*8*7+6*5+4+3+2*1
544 = 9*8*7+6*5+4+3+2+1
545 = 9*8*7+6*5+4+3*2+1
546 = 9*8*7+6*5*4/3+2*1
547 = 9*8*7+6*5+4*3+2-1
548 = 9*8*7+6*5+4*3+2*1
549 = 9*8*7+6*5+4*3+2+1
550 = 9*(8*7+6)-5-4+3-2*1
551 = 9*(8*7+6)-5-4+3-2+1
552 = 9*(8*7+6)-5-4+3*(2-1)
553 = 9*(8*7+6)-5-4+3+2-1
554 = 9*(8*7+6)-5-4+3+2*1
555 = 9*8*7-6+5*4*3-2-1
556 = 9*8*7-6+5*4*3-2*1
557 = 9*8*7+6*5+4*3*2-1
558 = 9*8*7+6*5+4*3*2*1
559 = 9*8*7+6*5+4*3*2+1
560 = 9-8+7*6*5*4/3*2-1
561 = 9-8+7*6*5*4/3*2*1
562 = 9-8+7*6*5*4/3*2+1
563 = 9*8*7/6*5*4/3+2+1
564 = 9*(8*7+6)+5+4-3*(2-1)
565 = 9*(8*7+6)+5+4-3+2-1
566 = 9*(8*7+6)+5+4-3+2*1
567 = 9*8*7+6+5*4*3-2-1
568 = 9*8*7+6+5*4*3-2*1
569 = 9*8*7+6+5*4*3-2+1
570 = 9*(8*7+6)+5+4+3*(2-1)
571 = 9*8*7+6+5*4*3+2-1
572 = 9*8*7+6+5*4*3+2*1
573 = 9*8*7+6+5*4*3+2+1
574 = 9*(8*7+6+5-4)+3*2+1
575 = (9+8+7)*(6*5-4*3/2)-1
576 = (9+8+7)*(6*5-4*3/2)*1
577 = (9+8+7)*(6*5-4*3/2)+1
578 = (9+8)*(7+(6*5)-4+3-2)*1
579 = (9+8)*(7+(6*5)-4+3-2)+1
580 = (9+8-7)*(6*(5+4)+3+2-1)
581 = 9+8*(7+6+5)*4-3-2+1
582 = 9*(8+7+6-5)*4+3+2+1
583 = 9*8*7+6*5*4/3*2-1
584 = 9*8*7+6*5*4/3*2*1
585 = 9*8*7+6*5*4/3*2+1
586 = (9*8-7)*(6+5+4-3*2)+1
587 = (9*8+7-6*5)*4*3-2+1
588 = (9*8+7-6*5)*4*3*(2-1)
589 = (9*8+7-6*5)*4*3+(2-1)
590 = (9+8-7)*(6*(5+4)+3+2)*1
591 = (9+8-7)*(6*(5+4)+3+2)+1
592 = (9+8)*(7*6+5-4*3)-2-1
593 = (9+8+7+6)*5*4-3*2-1
594 = (9+8+7+6)*5*4-3-2-1
595 = (9+8+7+6)*5*4-3-2*1
596 = (9+8+7+6)*5*4-3-2+1
597 = (9+8+7+6)*5*4-3*(2-1)
598 = (9+8+7+6)*5*4-3+2-1
599 = (9+8+7+6)*5*4-3+2*1

dhrm77 · #11

Ca deviens vraiment tres dur de continuer comme ca:

600 = (9+8+7+6)*5*4+3-2-1
601 = (9+8+7+6)*5*4+3-2*1
602 = (9+8+7+6)*5*4+3-2+1
603 = (9+8+7+6)*5*4+3*(2-1)
604 = (9+8+7+6)*5*4+3+2-1
605 = (9+8+7+6)*5*4+3+2*1
606 = (9+8+7+6)*5*4+3+2+1
607 = 9+(8+7+6+5)*(4*3*2-1)
608 = 9*(8*7+6+5)+4+3-2*1
609 = (9+8)*(7+(6*5)-4+3)-2-1
610 = (9+8)*(7+(6*5)-4+3)-2*1
611 = (9+8)*(7+(6*5)-4+3)-2+1
612 = (9+8)*(7+(6*5)-4+3*(2-1))
613 = (9+8)*(7+(6*5)-4+3)+2-1
614 = (9+8)*(7+(6*5)-4+3)+2*1
615 = (9+8)*(7+(6*5)-4+3)+2+1
616 = 9+8*7*(6+5)-4-3-2*1
617 = 9*8*7+6*5*4-3*2-1
618 = 9*8*7+6*5*4-3-2-1
619 = 9*8*7+6*5*4-3-2*1
620 = 9*8*7+6*5*4-3-2+1
621 = 9+8*7*(6+5)-4+3-2-1
622 = 9*8*7+6*5*4-3+2-1
623 = 9*8*7+6*5*4-3+2*1
624 = 9*8*7+6*5*4+3-2-1
625 = 9*8*7+6*5*4+3-2*1
626 = 9*8*7+6*5*4+3-2+1
627 = (9+8+7)*(6*5-4)+3*(2-1)
628 = 9*8*7+6*5*4+3+2-1
629 = 9*8*7+6+5*4*3*2-1
630 = 9*8*7+6+5*4*3*2*1
631 = 9*8+7*6*5*4/3*2-1
632 = 9*8+7*6*5*4/3*2*1
633 = 9*8+7*6*5*4/3*2+1
634 = 9+8*7*(6+5)+4+3+2*1
635 = 9+8*7*(6+5)+4+3+2+1
636 = 9+8*7*(6+5)+4+3*2+1
637 = 9+8*7*(6+5)+4*3*(2-1)
638 = 9+8*7*6*5/4*3/2-1
639 = 9+8*7*6*5/4*3/2*1
640 = 9+8*7*6*5/4*3/2+1
641 = 9+8*7*(6+5)+4*(3+2-1)
642 = 9*(8*7+6+5+4)+3*(2-1)
643 = (9+8)*(7+(6*5)+4-3)-2-1
644 = (9+8)*(7+(6*5)+4-3)-2*1
645 = (9+8)*(7+(6*5)+4-3)-2+1
646 = (9+8)*(7+(6*5)+4-3)*(2-1)
647 = (9+8)*(7+(6*5)+4-3)+2-1
648 = (9+8)*(7+(6*5)+4-3)+2*1
649 = (9+8)*(7+(6*5)+4-3)+2+1
650 = (9*8-7)*(6+5+4-3*2+1)
651 = 9*8*(7+6-5+4-3)+2+1
652 = (9+8)*(7+6*5)+4*3*2-1
653 = 9*8*7+6*5*(4+3-2)-1
654 = 9*8*7+6*5*(4+3-2)*1
655 = 9*8*7+6*5*(4+3-2)+1
656 = 9*(8*(7-6)*(5+4)+3-2)-1
657 = 9*(8*(7-6)*(5+4)*(3-2)+1)
658 = 9*(8*(7-6)*(5+4)+3-2)+1
659 = 9+(8+7+6+5)*(4*3*2+1)
660 = (9+8-7)*(6*(5+4+3-2+1))
661 = (9+8-7)*(6+5)*4*3/2+1
662 = 9+(8+7)*(6+5)*4-3*2-1
663 = 9+(8+7)*(6+5)*4-3-2-1
664 = 9+(8+7)*(6+5)*4-3-2*1
665 = (9+8)*(7+6*5)+4*3*(2+1)
666 = 9+(8+7)*(6+5)*4-3*(2-1)
667 = 9+(8+7)*(6+5)*4-3+2-1
668 = 9+(8+7)*(6*5+4*3+2)-1
669 = (9*8*7*(6-5))*4/3-2-1
670 = (9*8*7*(6-5))*4/3-2*1
671 = (9*8*7*(6-5))*4/3-2+1
672 = 9-8*7+6*5*4*3*2-1
673 = 9-8*7+6*5*4*3*2*1
674 = 9-8*7+6*5*4*3*2+1
675 = (9*8*7*(6-5))*4/3+2+1
676 = 9+(8+7)*(6+5)*4+3*2+1
677 = 9*(8+7)*(6-5+4)+3-2+1
678 = 9*(8+7)*(6-5+4)+3*(2-1)
679 = (9+8)*(7*6-5+4-3+2)-1
680 = (9+8)*(7*6-5+4-3+2)*1
681 = (9+8)*(7*6-5+4-3+2)+1
682 = 9*(8+7)*(6-5+4)+3*2+1
683 = 9*8*7+6*5*4*3/2-1
684 = 9*8*7+6*5*4*3/2*1
685 = 9*8*7+6*5*4*3/2+1
686 = ((9+8)*((7-6)*5*4)+3)*2*1
687 = ((9+8)*((7-6)*5*4)+3)*2+1
688 = 9-(8-7*6)*5*4-3+2*1
689 = 9+8+7*6*(5+4+3*2+1)
690 = 9*(8*(7-6+5+4)-3)-2-1
691 = 9*(8*(7-6+5+4)-3)-2*1
692 = 9*(8*(7-6+5+4)-3)-2+1
693 = 9*(8*(7-6+5+4)-3)*(2-1)
694 = 9*(8*(7-6+5+4)-3)+2-1
695 = 9*(8*(7-6+5+4)-3)+2*1
696 = 9*(8*(7-6+5+4)-3)+2+1
697 = (9+8+7)*(6*5-4+3)+2-1
698 = (9+8+7)*(6*5-4+3)+2*1
699 = (9+8*7-6*5)*4*(3+2)-1

Edit: je viens de changer mes solutions pour 689 & 689.

gabrielduflot · #12

je vais regarder bon je te decerne quand meme la palme....

gabrielduflot · #13

pour 688=(9+7)*((8+6+5+1)*4/2+3)

gabrielduflot · #14

689=(6+7)*((9+8)*3+2*(5-4)*1)

Bamby2 · #15

688 = (9+8)*(7*6-5+4)-3*(2+1) sinon
689 = (9+8)*(7*6)-5*(4+3-2*1)

dhrm77 · #16

gabrielduflot a écrit:
pour 688=(9+7)*((8+6+5+1)*4/2+3)
689=(6+7)*((9+8)*3+2*(5-4)*1)

Oui, bien sur, mais les chiffres ne sont plus dans l'ordre...la solution de Bamby2 est mieux dans les limites que je me suis fixé.

J'essaye de voir jusqu'ou on peut aller en conservant les règles les plus strictes possible, et donc de voir à quel point on est obligé d'élargir les règles.
Par exemple en commencant a utiliser:
- uniquement +, - et * à partir du debut
- la division à 152
- les parentheses à 153
- les puissances à ???
- les chiffres dans le désordre à ???

gabrielduflot · #17

ok

kosmogol · #18

gabrielduflot a écrit:
ok

on aime beaucoup ton enthousiasme GDF

dhrm77 · #19

De 700 à 799:

700 = (9+8*7-6*5)*4*(3+2)*1
701 = (9+8*7-6*5)*4*(3+2)+1
702 = 9*(8*7+6*(5-4+3)-2)*1
703 = 9+(8+7+6)*(5*(4+3)-2)+1
704 = (9+8)*(7*6-5+4)+3*2+1
705 = (9+8)*(7*6)-5-4+3-2-1
706 = (9+8)*(7*6)-5-4+3-2*1
707 = (9+8)*(7*6)-5-4+3-2+1
708 = 9+(8*7-6)*(5+4+3+2)-1
709 = (9*8*7+(6*5))*4/3-2-1
710 = (9*8*7+(6*5))*4/3-2*1
711 = (9*8*7+(6*5))*4/3-2+1
712 = (9*8*7+(6*5))*4/3*(2-1)
713 = 9-8-7+6*5*4*3*2-1
714 = 9-8-7+6*5*4*3*2*1
715 = 9-8-7+6*5*4*3*2+1
716 = 9*8*(7-6+5+4)-3-2+1
717 = 9*8*(7-6+5+4)-3*(2-1)
718 = 9*8*(7-6+5+4)-3+2-1
719 = 9*8*(7-6+5+4)-3+2*1
720 = 9*8*(7-6+5+4)-3+2+1
721 = 9*8*(7-6+5+4)+3-2*1
722 = 9*8*(7-6+5+4)+3-2+1
723 = 9*8*(7-6+5+4)+3*(2-1)
724 = 9*8*(7-6+5+4)+3+2-1
725 = 9*8*(7-6+5+4)+3+2*1
726 = 9*8*(7-6+5+4)+3+2+1
727 = 9-8+7+6*5*4*3*2-1
728 = 9-8+7+6*5*4*3*2*1
729 = 9+8-7+6*5*4*3*2-1
730 = 9+8-7+6*5*4*3*2*1
731 = 9+8-7+6*5*4*3*2+1
732 = 9*(8*7+6*5-4)-3-2-1
733 = 9*(8*7+6*5-4)-3-2*1
734 = 9*(8*7+6*5-4)-3-2+1
735 = 9*(8*7+6*5-4)-3*(2-1)
736 = 9*(8*7+6*5-4)-3+2-1
737 = 9*(8*7+6*5-4)-3+2*1
738 = 9*(8*7+6*5-4)-3+2+1
739 = 9*(8*7+6*5-4)+3-2*1
740 = 9*(8*7+6*5-4)+3-2+1
741 = 9*(8*7+6*5-4)+3*(2-1)
742 = 9*(8*7+6*5-4)+3+2-1
743 = 9+8+7+6*5*4*3*2-1
744 = 9+8+7+6*5*4*3*2*1
745 = 9+8+7+6*5*4*3*2+1
746 = 9*(8*7+6*5-4+3-2)-1
747 = 9*(8*7+6*5-4+3-2)*1
748 = 9*(8*7+6*5-4+3-2)+1
749 = (9+8)*(7*6-5+4+3)+2-1
750 = (9+8)*(7*6-5+4+3)+2*1
751 = (9+8)*(7*6-5+4+3)+2+1
752 = (9+8-7+6)*((5*4+3)*2+1)
753 = 9*(8*7+6*5)-4*(3+2)-1
754 = 9*(8*7+6*5)-4*(3+2)*1
755 = 9*(8*7+6*5)-4*(3+2)+1
756 = 9*(8+7+6)*(5-4+3)*(2-1)
757 = 9*(8+7+6)*(5-4+3)+(2-1)
758 = 9+(8*7-6)*(5*4-3-2)-1
759 = 9+(8*7-6)*(5*4-3-2)*1
760 = 9+(8*7-6)*(5*4-3-2)+1
761 = ((9-8)*7+6*5*4)*(3*2)-1
762 = ((9-8)*7+6*5*4)*(3*2)*1
763 = 9*(8*7+6*5)-4-3*2-1
764 = 9*(8*7+6*5)-4-3-2-1
765 = 9*(8*7+6*5)-4-3-2*1
766 = 9*(8*7+6*5)-4-3-2+1
767 = (9+8-7)*(6+5)*(4+3)-2-1
768 = (9+8-7)*(6+5)*(4+3)-2*1
769 = (9+8-7)*(6+5)*(4+3)-2+1
770 = (9+8-7)*(6+5)*(4+3)*(2-1)
771 = (9+8-7)*(6+5)*(4+3)+2-1
772 = (9+8-7)*(6+5)*(4+3)+2*1
773 = 9*(8*7-6+5-4*3)*2-1
774 = 9*(8*7-6+5-4*3)*2*1
775 = 9*(8*7-6+5-4*3)*2+1
776 = 9*((8+7)*6-5+4-3)+(2*1)
777 = (9-8)*7*(6*5+4+3)*(2+1)
778 = 9-8+(7+6*5)*(4+3)*(2+1)
779 = (-9+8*7-6)*(5*4-3+2)*1
780 = (9+8-7)*6*(5+4+3+2-1)
781 = (9+8)*((7-6)*5*4+3)*2-1
782 = (9+8)*((7-6)*5*4+3)*2*1
783 = (9+8)*((7-6)*5*4+3)*2+1
784 = 9+8*7+6*5*4*3*2-1
785 = 9+8*7+6*5*4*3*2*1
786 = 9+8*7+6*5*4*3*2+1
787 = 9*(8*7+6*5)+4*3+2-1
788 = 9*(8*7+6*5)+4*3+2*1
789 = 9*(8*7+6*5)+4*3+2+1
790 = (9+8-7)*((6+5)*(4+3)+2)*1
791 = (9+8-7)*((6+5)*(4+3)+2)+1
792 = 9*(8*7+6*5+4-3+2-1)
793 = 9*(8*7+6*5)+4*(3+2)-1
794 = 9*(8*7+6*5)+4*(3+2)*1
795 = 9*(8*7+6*5)+4*(3+2)+1
796 = (9+8)*(7*6+5)-4+3-2*1
797 = 9*(8*7+6*5)+4*3*2-1
798 = 9*8+7+6*5*4*3*2-1
799 = 9*8+7+6*5*4*3*2*1

gabrielduflot · #20

tiens pour 688=(9+8)*7*6-5*4-3*2*1
689=(9+8)*7*6-5*4-3*2+1

dhrm77 · #21

De 800 à 899:

800 = 9*8+7+6*5*4*3*2+1
801 = (9*8-(7-6)*5)*4*3-2-1
802 = (9*8-(7-6)*5)*4*3-2*1
803 = 9*(8*7+6*5+4)-3*2-1
804 = 9*(8*7+6*5+4)-3-2-1
805 = 9*(8*7+6*5+4)-3-2*1
806 = 9*(8*7+6*5+4)-3-2+1
807 = 9*(8*7+6*5+4)-3*(2-1)
808 = 9*(8*7+6*5+4)-3+2-1
809 = 9*(8*7+6*5+4)-3+2*1
810 = 9*(8*7+6*5+4)-3+2+1
811 = 9*(8*7+6*5+4)+3-2*1
812 = 9*(8*7+6*5+4)+3-2+1
813 = 9*(8*7+6*5+4)+3*(2-1)
814 = 9*(8*7+6*5+4)+3+2-1
815 = 9*(8*7+6*5+4)+3+2*1
816 = 9*(8*7+6*5+4)+3+2+1
817 = 9*(8*7+6*5+4)+3*2+1
818 = 9*(8*7+6*5+4+3-2)-1
819 = 9*(8*7+6*5+4+3-2)*1
820 = 9*(8*7+6*5+4+3-2)+1
821 = (-9+8*7-6)*5*4+3-2*1
822 = (-9+8*7-6)*5*4+3-2+1
823 = (-9+8*7-6)*5*4+3*(2-1)
824 = (-9+8*7-6)*5*4+3+2-1
825 = (-9+8*7-6)*5*4+3+2*1
826 = (-9+8*7-6)*5*4+3+2+1
827 = (-9+8*7-6)*5*4+3*2+1
828 = (9+8+7-6+5)*4*3*(2+1)
829 = 9*(8*7+6*(5+4-3))+2-1
830 = (9*8+7*6+5)*(4+3)-2-1
831 = (9*8+7*6+5)*(4+3)-2*1
832 = (9*8+7*6+5)*(4+3)-2+1
833 = (9*8+7*6+5)*(4+3)*(2-1)
834 = 9-8+7*6*5*4-3*2-1
835 = 9-8+7*6*5*4-3-2-1
836 = 9-8+7*6*5*4-3-2*1
837 = 9-8+7*6*5*4-3-2+1
838 = 9-8+7*6*5*4-3*(2-1)
839 = 9-8+7*6*5*4-3+2-1
840 = 9-8+7*6*5*4-3+2*1
841 = 9-8+7*6*5*4+3-2-1
842 = 9-8+7*6*5*4+3-2*1
843 = 9-8+7*6*5*4+3-2+1
844 = 9-8+7*6*5*4+3*(2-1)
845 = 9-8+7*6*5*4+3+2-1
846 = 9-8+7*6*5*4+3+2*1
847 = 9-8+7*6*5*4+3+2+1
848 = 9-8+7*6*5*4+3*2+1
849 = (((9*8-7)*6)+5*(4+3))*2-1
850 = 9+8+7*6*5*4-3*2-1
851 = 9+8+7*6*5*4-3-2-1
852 = 9+8+7*6*5*4-3-2*1
853 = 9+8+7*6*5*4-3-2+1
854 = 9+8+7*6*5*4-3*(2-1)
855 = 9+8+7*6*5*4-3+2-1
856 = 9+8+7*6*5*4-3+2*1
857 = 9+8+7*6*5*4+3-2-1
858 = 9+8+7*6*5*4+3-2*1
859 = 9+8+7*6*5*4+3-2+1
860 = 9-8+7*(6*5*4+3)-2*1
861 = 9+8+7*6*5*4+3+2-1
862 = 9+8+7*6*5*4+3+2*1
863 = 9+8+7*6*5*4+3+2+1
864 = 9+8+7*6*5*4+3*2+1
865 = 9*8*7+6*5*4*3+2-1
866 = 9*8*7+6*5*4*3+2*1
867 = 9*8*7+6*5*4*3+2+1
868 = (9+8)*(7*6+5+4)+3-2*1
869 = (9+8)*(7*6+5+4)+3-2+1
870 = (9+8)*(7*6+5+4)+3*(2-1)
871 = (9+8)*(7*6+5+4)+3+2-1
872 = (9+8)*(7*6+5+4)+3+2*1
873 = (9+8)*(7*6+5+4)+3+2+1
874 = (9+8)*(7*6+5+4)+3*2+1
875 = (9*8+7-6)*(5+4+3)-2+1
876 = (9*8+7-6)*(5+4+3)*(2-1)
877 = (9*8+7-6)*(5+4+3)+2-1
878 = (9*8+7-6)*(5+4+3)+2*1
879 = (9*8+7-6)*(5+4+3)+2+1
880 = (9+8-7)*(6+5)*4*(3-2+1)
881 = (9+8)*(7+6)*(5-4+3)-2-1
882 = (9+8)*(7+6)*(5-4+3)-2*1
883 = (9+8)*(7+6)*(5-4+3)-2+1
884 = 9*((8+7)*6+5+4)-3*2-1
885 = 9*((8+7)*6+5+4)-3-2-1
886 = 9*((8+7)*6+5+4)-3-2*1
887 = 9*((8+7)*6+5+4)-3-2+1
888 = 9*8*(7+6*5)/(4-3+2*1)
889 = 9*((8+7)*6+5+4)-3+2-1
890 = 9*((8+7)*6+5+4)-3+2*1
891 = 9*((8+7)*6+5+4)-3+2+1
892 = 9*((8+7)*6+5+4)+3-2*1
893 = 9*((8+7)*6+5+4)+3-2+1
894 = 9*((8+7)*6+5+4)+3*(2-1)
895 = 9*((8+7)*6+5+4)+3+2-1
896 = 9*((8+7)*6+5+4)+3+2*1
897 = 9*((8+7)*6+5+4)+3+2+1
898 = 9*((8+7)*6+5+4)+3*2+1
899 = 9*((8+7)*6+5+4+3-2)-1

dhrm77 · #22

De 900 à 999:
900 = 9*((8+7)*6+5+4+3-2)*1
901 = 9*((8+7)*6+5+4+3-2)+1
902 = (9+8+(7+6)*5)*(4*3-2+1)
903 = 9*8+7*6*5*4-3*(2+1)
904 = 9+8*7*(6*5-4*3-2)-1
905 = 9*8+7*6*5*4-3*2-1
906 = 9*8+7*6*5*4-3-2-1
907 = 9*8+7*6*5*4-3-2*1
908 = 9*8+7*6*5*4-3-2+1
909 = 9*8+7*6*5*4-3*(2-1)
910 = 9*8+7*6*5*4-3+2-1
911 = 9*8+7*6*5*4-3+2*1
912 = 9*8+7*6*5*4+3-2-1
913 = 9*8+7*6*5*4+3-2*1
914 = 9*8+7*6*5*4+3-2+1
915 = 9*8+7*6*5*4+3*(2-1)
916 = 9*8+7*6*5*4+3+2-1
917 = 9*8+7*6*5*4+3+2*1
918 = 9*8+7*6*5*4+3+2+1
919 = 9*8+7*6*5*4+3*2+1
920 = (9+8)*(7*6+5+4+3)+2*1
921 = 9*8+7*6*5*4+3*(2+1)
922 = 9*(8*(7+6))-5*4+3+2+1
923 = 9*8*7+6*5*(4*3+2)-1
924 = 9*8*7+6*5*(4*3+2)*1
925 = 9*8*7+6*5*(4*3+2)+1
926 = 9*(8*(7+6))-5-4-3+2*1
927 = 9*(8*(7+6))-5-4-3+2+1
928 = 9*(8*(7+6))-5-4+3-2*1
929 = 9*(8*(7+6))-5-4+3-2+1
930 = (9+8+7+6)*(5*4*3/2+1)
931 = 9*(8*(7+6))-5-4+3+2-1
932 = 9+(8*7)*(6+5+4+3/2)-1
933 = 9+(8*7)*(6+5+4+3/2)*1
934 = 9+(8*7)*(6+5+4+3/2)+1
935 = 9*(8*(7+6))+5-4-3+2-1
936 = 9*(8+7)*(6+5-4)-3*(2+1)
937 = 9*(8*(7+6))+5-4-3+2+1
938 = 9*(8+7)*(6+5-4)-3*2-1
939 = 9*(8+7)*(6+5-4)-3-2-1
940 = 9*(8+7)*(6+5-4)-3-2*1
941 = 9*(8+7)*(6+5-4)-3-2+1
942 = 9*(8+7)*(6+5-4)-3*(2-1)
943 = 9*(8+7)*(6+5-4)-3+2-1
944 = 9*(8+7)*(6+5-4)-3+2*1
945 = 9*(8+7)*(6+5-4)+3-2-1
946 = 9*(8+7)*(6+5-4)+3-2*1
947 = 9*(8+7)*(6+5-4)+3-2+1
948 = 9*(8+7)*(6+5-4)+3*(2-1)
949 = 9*(8+7)*(6+5-4)+3+2-1
950 = 9*(8+7)*(6+5-4)+3+2*1
951 = 9*(8+7)*(6+5-4)+3+2+1
952 = 9*(8+7)*(6+5-4)+3*2+1
953 = (9+8)*((7+6)*5-4-3-2)+1
954 = 9*(8+7)*(6+5-4)+3*(2+1)
955 = 9*(8*(7+6))+5*4-3+2*1
956 = 9*(8*(7+6))+5*4+3-2-1
957 = 9*(8*(7+6))+5*4+3-2*1
958 = 9*(8*(7+6))+5*4+3-2+1
959 = 9*(8*(7+6))+5*4+3*(2-1)
960 = 9*(8*(7+6))+5*4+3+2-1
961 = 9*(8*(7+6))+5*4+3+2*1
962 = 9*(8*(7+6))+5*4+3+2+1
963 = 9*(8*(7+6))+5*4+3*2+1
964 = 9*(8*(7+6))+5+4*3*2-1
965 = 9*(8*(7+6))+5+4*3*2*1
966 = 9*(8*(7+6))+5+4*3*2+1
967 = (9-8)*7*6*(5*4+3)+2-1
968 = (9+8*7)*(6+5+4)-3*2-1
969 = (9+8*7)*(6+5+4)-3-2-1
970 = (9+8*7)*(6+5+4)-3-2*1
971 = (9+8*7)*(6+5+4)-3-2+1
972 = 9*(8+7-6+5+4)*3*2*1
973 = 9*(8+7-6+5+4)*3*2+1
974 = 9*8*(7+6+5)/4*3+2*1
975 = 9*8*(7+6+5)/4*3+2+1
976 = 9+8*(7-6+5*4*3*2)-1
977 = 9+8*(7-6+5*4*3*2*1)
978 = 9+8*(7-6+5*4*3*2)+1
979 = 9*(8*7*6-5-4)/3-2*1
980 = (9+8*7)*(6+5+4)+3+2*1
981 = (9+8*7)*(6+5+4)+3+2+1
982 = (9+8*7)*(6+5+4)+3*2+1
983 = 9*(8*7+6*(5+4))-3*2-1
984 = 9*(8*7+6*(5+4))-3-2-1
985 = 9*(8*7+6*(5+4))-3-2*1
986 = 9*(8*7+6*(5+4))-3-2+1
987 = 9*(8*7+6*(5+4))-3*(2-1)
988 = 9*(8*7+6*(5+4))-3+2-1
989 = 9*(8*7+6*(5+4))-3+2*1
990 = 9*(8*7+6*(5+4))-3+2+1
991 = 9*(8*7+6*(5+4))+3-2*1
992 = 9*(8*7+6*(5+4))+3-2+1
993 = (9*8-7+6)*(5*4-3*2)-1
994 = 9*(8*7+6*(5+4))+3+2-1
995 = 9*(8*7+6*(5+4))+3+2*1
996 = 9*(8*7+6*(5+4))+3+2+1
997 = 9*(8*7+6*(5+4))+3*2+1
998 = 9*(8*7+6*(5+4)+3-2)-1
999 = 9*(8*7+6*(5+4))+3*(2+1)

dhrm77 · #23

De 1000 à 1099:

1000 = 9*(8*7+6*(5+4)+3-2)+1
1001 = (9*8-7-6)*(5*4-3)-2*1
1002 = (9*8*7*6-5-4)/3-2-1
1003 = (9*8*7*6-5-4)/3-2*1
1004 = (9*8*7*6-5-4)/3-2+1
1005 = (9*8*7*6-5-4)/3*(2-1)
1006 = (9*8*7*6-5-4)/3+2-1
1007 = (9*8*7*6-5-4)/3+2*1
1008 = (9*8*7*6+5+4)/3-2-1
1009 = (9*8*7*6+5+4)/3-2*1
1010 = (9*8*7*6+5+4)/3-2+1
1011 = (9*8*7*6+5+4)/3*(2-1)
1012 = (9*8*7*6+5+4)/3+2-1
1013 = (9*8*7*6+5+4)/3+2*1
1014 = (9*8*7*6+5+4)/3+2+1
1015 = 9*(8*7+6*(5+4)+3)-2*1
1016 = 9*(8*7+6*(5+4)+3)-2+1
1017 = (9*8+7+6)*(5+4+3)-2-1
1018 = (9*8+7+6)*(5+4+3)-2*1
1019 = (9*8+7+6)*(5+4+3)-2+1
1020 = (9*8+7+6)*(5+4+3)*(2-1)
1021 = (9*8+7+6)*(5+4+3)+2-1
1022 = (9*8+7+6)*(5+4+3)+2*1
1023 = (9*8+7+6)*(5+4+3)+2+1
1024 = (9*8+7*6)*(5+4)-3+2-1
1025 = (9*8+7*6)*(5+4)-3+2*1
1026 = (9*8+7*6)*(5+4)-3+2+1
1027 = (9*8+7*6)*(5+4)+3-2*1
1028 = (9*8+7*6)*(5+4)+3-2+1
1029 = 9*8*(7+6+5/4)+3*(2-1)
1030 = (9*8+7*6)*(5+4)+3+2-1
1031 = (9*8+7*6)*(5+4)+3+2*1
1032 = (9*8+7*6)*(5+4)+3+2+1
1033 = (9*8+7*6)*(5+4)+3*2+1
1034 = (9+8)*((7+6)*5-4)-3*(2-1)
1035 = 9*8+7*6*(5*4+3)-2-1
1036 = 9*8+7*6*(5*4+3)-2*1
1037 = 9*8+7*6*(5*4+3)-2+1
1038 = 9*8+7*6*(5*4+3)*(2-1)
1039 = 9*8+7*6*(5*4+3)+2-1
1040 = 9*8+7*6*(5*4+3)+2*1
1041 = 9*8+7*6*(5*4+3)+2+1
1042 = (9+8)*((7+6)*5-4)+3+2*1
1043 = (9+8)*((7+6)*5-4)+3+2+1
1044 = (9+8)*((7+6)*5-4)+3*2+1
1045 = (9*(8*7+6)-5*(4+3))*2-1
1046 = (9*(8*7+6)-5*(4+3))*2*1
1047 = (9+8)*(7*6+5*4)-3*2-1
1048 = (9+8)*(7*6+5*4)-3-2-1
1049 = (9+8)*(7*6+5*4)-3-2*1
1050 = (9+8)*(7*6+5*4)-3-2+1
1051 = (9+8+7)*(6+5)*4-3-2*1
1052 = (9+8+7)*(6+5)*4-3-2+1
1053 = (9+8)*(7*6+5*4)-3+2*1
1054 = (9+8)*(7*6+5*4)-3+2+1
1055 = (9+8)*(7*6+5*4)+3-2*1
1056 = (9+8)*(7*6+5*4)+3-2+1
1057 = (9+8+7)*(6+5)*4+3-2*1
1058 = (9+8+7)*(6+5)*4+3-2+1
1059 = (9+8)*(7*6+5*4)+3+2*1
1060 = (9+8)*(7*6+5*4)+3+2+1
1061 = (9+8)*(7*6+5*4)+3*2+1
1062 = (9+8+7)*(6+5)*4+3+2+1
1063 = (9+8+7)*(6+5)*4+3*2+1
1064 = (9*8-7+6)*5*(4-3+2)-1
1065 = (9*8-7+6)*5*(4-3+2)*1
1066 = (9*8-7+6)*5*(4-3+2)+1
1067 = (9*(8*7)+6*5-4+3)*2+1
1068 = (9+8)*7*(6*(5-4)+3)-2-1
1069 = (9+8)*7*(6*(5-4)+3)-2*1
1070 = (9+8)*7*(6*(5-4)+3)-2+1
1071 = (9+8)*7*(6*(5-4)+3)*(2-1)
1072 = (9+8)*7*(6*(5-4)+3)+2-1
1073 = (9+8)*7*(6*(5-4)+3)+2*1
1074 = (9+8)*7*(6*(5-4)+3)+2+1
1075 = ((9*(8*7+(6-5)*4))-3)*2+1
1076 = (9*(8*7+6)-5*4)*(3-2+1)
1077 = (9*8+7+6+5)*4*3-2-1
1078 = (9*8+7+6+5)*4*3-2*1
1079 = 9*8*(7+6+5-4+3-2)-1
1080 = 9*8*(7+6+5-4+3-2)*1
1081 = 9*8*(7+6+5-4+3-2)+1
1082 = (9+8)*(7+6)*5-4*3*2+1
1083 = (9*8+7+6+5)*4*3+2+1
1084 = (9+8)*(7+6)*5-4*(3+2)-1
1085 = (9+8)*(7+6)*5-4*(3+2)*1
1086 = (9+8)*(7+6)*5-4*(3+2)+1
1087 = (9+8)*((7+6)*5-4+3)-2+1
1088 = (9+8)*(7*6+5*4+3-2+1)
1089 = 9*(8*(7+6+5-4+3-2)+1)
1090 = (9+8)*(7+6)*5-4*3-2-1
1091 = (9+8)*(7+6)*5-4*3-2*1
1092 = (9+8)*(7+6)*5-4*3-2+1
1093 = (9+8)*(7+6)*5-4*3*(2-1)
1094 = (9+8)*(7+6)*5-4*3+2-1
1095 = (9+8)*(7+6)*5-4*3+2*1
1096 = (9+8)*(7+6)*5-4*3+2+1
1097 = (9+8)*(7+6)*5-4-3-2+1
1098 = (9+8)*(7+6)*5-4-3*(2-1)
1099 = (9+8)*(7+6)*5-4-3+2-1

C'est la première série de 100 ou j'ai été obligé d'utiliser les parenthèses pour chacun des nombres à obtenir.
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Vasimolo · #24

Arrivera-t-on à 2009 avant la fin de l'année ? Le suspens est insoutenable

Vasimolo

dhrm77 · #25

peut-etre, mais les probabilités sont faibles.

enfin...au cas ou je n'y arrive pas graduellement, voici pour 2009:
(9*8*7-6+5)*4-3*(2-1) = 2009
et 2010:
(9*8*7-6+5)*4-3+2-1 = 2010

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#1 - 17-11-2009 22:13:02

De nombres 2

#0 Pub

#2 - 18-11-2009 01:46:51

des nombtes 2

#3 - 24-11-2009 22:05:28

Des nombrse 2

#4 - 25-11-2009 11:59:42

Des nnombres 2

#5 - 01-12-2009 19:59:42

Des nombrres 2

#6 - 09-12-2009 23:48:53

Des nnombres 2

#7 - 10-12-2009 01:53:23

des nombred 2

#8 - 10-12-2009 18:08:08

Des nomrbes 2

#9 - 10-12-2009 19:33:05

Ds nombres 2

#10 - 11-12-2009 16:44:43

des nomvres 2

#11 - 16-12-2009 03:53:39

des nomvres 2

#12 - 16-12-2009 13:16:19

Des onmbres 2

#13 - 16-12-2009 13:20:29

Des nobmres 2

#14 - 16-12-2009 13:25:16

Des nmobres 2

#15 - 16-12-2009 18:04:54

Des onmbres 2

#16 - 16-12-2009 18:21:16

Ds nombres 2

gabrielduflot a écrit:

#17 - 17-12-2009 12:42:41

Dess nombres 2

#18 - 17-12-2009 13:16:33

ded nombres 2

gabrielduflot a écrit:

#19 - 17-12-2009 23:17:23

Des nombres 22

#20 - 18-12-2009 11:48:27

Des nombrs 2

#21 - 18-12-2009 13:04:02

Des nombres

#22 - 18-12-2009 13:04:26

De nombres 2

#23 - 23-12-2009 00:15:17

des nombrzs 2

#24 - 23-12-2009 00:43:57

Des onmbres 2

#25 - 23-12-2009 02:09:21

des bombres 2

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