
Four fours solutions
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Other results: Three fours Four zeros 2002 2003 Four digits
Solutions are shown, where known, for numbers in the range 0–1000. Solutions are known for 943 of the 1001 numbers.
All these solutions were generated by 200 Up. I’d be interested in hearing from anyone who finds a solution for a number for which 200 Up found no solution, or who finds a standard solution for a number for which only an extended solution is known.
Standard solutions (not requiring percent) are shown in black. The first number for which no standard solution is known is 113.
Extended solutions (requiring percent) are shown in red. The first number for which no extended solution is known is 283.
Numbers for which no solution has been found are shown in pink. These are the 58 numbers for which no solution is known:

Here are the solutions:
0 = 44 - 44
1 = 44 / 44
2 = 4 * 4 / (4 + 4)
3 = (4 + 4 + 4) / 4
4 = 4 + (4 * (4 - 4))
5 = (4 + (4 * 4)) / 4
6 = 4 + ((4 + 4) / 4)
7 = (44 / 4) - 4
8 = 4 + 4 + 4 - 4
9 = 4 + 4 + (4 / 4)
10 = (44 - 4) / 4
11 = 44 / sqrt(4 * 4)
12 = (4 + 44) / 4
13 = sqrt(4) + (44 / 4)
14 = 4 + 4 + 4 + sqrt(4)
15 = 4 + (44 / 4)
16 = 4 + 4 + 4 + 4
17 = (4 * 4) + (4 / 4)
18 = (44 / sqrt(4)) - 4
19 = 4! - (4 + (4 / 4))
20 = 4 * (4 + (4 / 4))
21 = (44 - sqrt(4)) / sqrt(4)
22 = (sqrt(4) / 4) * 44
23 = (sqrt(4) + 44) / sqrt(4)
24 = 4 + 4 + (4 * 4)
25 = (4 + (4 * 4!)) / 4
26 = 4 + (44 / sqrt(4))
27 = 4 - (4 / 4) + 4!
28 = 44 - (4 * 4)
29 = 4 + (4 / 4) + 4!
30 = (4 * (4 + 4)) - sqrt(4)
31 = ((4 + 4!) / 4) + 4!
32 = (4 * 4) + (4 * 4)
33 = 44 / sqrt(4 * .4~)
34 = (4! + 44) / sqrt(4)
35 = 4! + (44 / 4)
36 = 44 - (4 + 4)
37 = ((sqrt(4) + 4!) / sqrt(4)) + 4!
38 = 44 - (4 + sqrt(4))
39 = 44 - (sqrt(4) / .4)
40 = 44 - sqrt(4 * 4)
41 = sqrt(((4 + 4)! + 4!) / 4!)
42 = sqrt(4) - 4 + 44
43 = 44 - (4 / 4)
44 = 4 - 4 + 44
45 = (4 / 4) + 44
46 = 4 - sqrt(4) + 44
47 = (sqrt(4) * 4!) - (4 / 4)
48 = 4 * (4 + 4 + 4)
49 = (4 / 4) + (sqrt(4) * 4!)
50 = 4 + sqrt(4) + 44
51 = (4! - 4 + .4) / .4
52 = 4 + 4 + 44
53 = (4 / .4~) + 44
54 = 4 + sqrt(4) + (sqrt(4) * 4!)
55 = 44 / (.4 + .4)
56 = (4! / sqrt(4)) + 44
57 = ((4! + .4) / .4) - 4
58 = ((4 + 4!) * sqrt(4)) + sqrt(4)
59 = (4! / .4) - (4 / 4)
60 = (4 * 4) + 44
61 = (4 / 4) + (4! / .4)
62 = (4 * 4 * 4) - sqrt(4)
63 = (44 - sqrt(4)) / sqrt(.4~)
64 = (4 + 4) * (4 + 4)
65 = 4 + ((4! + .4) / .4)
66 = 4! - sqrt(4) + 44
67 = 4 + ((4 + 4!) / .4~)
68 = 4 + (4 * 4 * 4)
69 = (sqrt(4) + 44) / sqrt(.4~)
70 = sqrt(4) + 4! + 44
71 = (4 + 4! + .4) / .4
72 = 4 + 4! + 44
73 = ((sqrt(4) * 4!) + sqrt(.4~)) / sqrt(.4~)
74 = (4 * 4!) + sqrt(4) - 4!
75 = (44 / .4~) - 4!
76 = (4 * (4! - 4)) - 4
77 = 4! + ((4! - .4~) / .4~)
78 = (4 * (4! - 4)) - sqrt(4)
79 = 4! - ((sqrt(4) - 4!) / .4)
80 = 4 * (4 + (4 * 4))
81 = (4 - .4) / (.4~ - .4)
82 = (4 * (4! - 4)) + sqrt(4)
83 = 4! + ((4! - .4) / .4)
84 = (sqrt(4) * 44) - 4
85 = ((4 / .4) + 4!) / .4
86 = (sqrt(4) * 44) - sqrt(4)
87 = (4 * 4!) - (4 / .4~)
88 = 44 + 44
89 = ((sqrt(4) + 4!) / .4) + 4!
90 = sqrt(4) + (sqrt(4) * 44)
91 = (4 * 4!) - (sqrt(4) / .4)
92 = 4 + (sqrt(4) * 44)
93 = (4 * 4!) - sqrt(4 / .4~)
94 = 4 * (4! - (sqrt(4) / 4))
95 = (4 * 4!) - (4 / 4)
96 = (4 + 44) * sqrt(4)
97 = (4 / 4) + (4 * 4!)
98 = 4 + (4 * 4!) - sqrt(4)
99 = 4.4 / (.4~ - .4)
100 = 4 * ((4 / 4) + 4!)
101 = sqrt(4) + (44 / .4~)
102 = 4 + (4 * 4!) + sqrt(4)
103 = 4 + (44 / .4~)
104 = 4 + 4 + (4 * 4!)
105 = (44 - sqrt(4)) / .4
106 = (4 * (sqrt(4) + 4!)) + sqrt(4)
107 = ((sqrt(4) * 4!) - .4~) / .4~
108 = (4 * (4 + 4!)) - 4
109 = (44 - .4) / .4
110 = (4 * (4 + 4!)) - sqrt(4)
111 = 444 / 4
112 = (sqrt(4) * 44) + 4!
113 = (sqrt(4) + (sqrt(4) / .4~%)) / 4
114 = (4 * (4 + 4!)) + sqrt(4)
115 = (sqrt(4) + 44) / .4
116 = 4 + (4 * (4 + 4!))
117 = (4 + (sqrt(4) * 4!)) / .4~
118 = (4 + (4 / 4))! - sqrt(4)
119 = (sqrt(4) / .4)! - (4 / 4)
120 = ((44 - 4!) / 4)!
121 = (4 / 4) + (sqrt(4) / .4)!
122 = (4 + (4 / 4))! + sqrt(4)
123 = 4! + (44 / .4~)
124 = 4 + (4 + (4 / 4))!
125 = (sqrt(4) + (sqrt(4) * 4!)) / .4
126 = ((4! / .4) - 4) / .4~
127 = (4 ^ 4 - sqrt(4)) / sqrt(4)
128 = 4 * 4 * (4 + 4)
129 = (4 / .4~) + (sqrt(4) / .4)!
130 = (4 + (sqrt(4) * 4!)) / .4
131 = (4! / (.4 * .4~)) - 4
132 = (4 + sqrt(4)) * (4! - sqrt(4))
133 = (4! / (.4 * .4~)) - sqrt(4)
134 = 4! + (44 / .4)
135 = (4 + sqrt(4)) / (.4~ - .4)
136 = sqrt(4) * (4! + 44)
137 = sqrt(4) + (4! / (.4 * .4~))
138 = ((4! * 4!) - 4!) / 4
139 = 4 + (4! / (.4 * .4~))
140 = (4 * 4!) + 44
141 = ((4 * 4!) - sqrt(4)) / sqrt(.4~)
142 = sqrt(4 + ((4 + 4)! / sqrt(4)))
143 = ((4! * 4!) - 4) / 4
144 = (4 + (4 / 4))! + 4!
145 = (4 + (4! * 4!)) / 4
146 = ((4 + sqrt(4)) * 4!) + sqrt(4)
147 = ((4 * 4!) + sqrt(4)) / sqrt(.4~)
148 = 4 + ((4 + sqrt(4)) * 4!)
149 = ((4! / .4) - .4) / .4
150 = (4! + (4! * 4!)) / 4
151 = ((4! / .4) + .4) / .4
152 = (4 * 44) - 4!
153 = (4! + 44) / .4~
154 = 4 + (4! * .4 ^ -sqrt(4))
155 = (sqrt(4) + (4! / .4)) / .4
156 = (4 + sqrt(4)) * (sqrt(4) + 4!)
157 = ((4% + sqrt(.4~)) / .4~%) - sqrt(4)
158 = (root(.4, 4) - .4) / sqrt(4%)
159 = 4! + (4! / (.4 * .4~))
160 = 4 * (44 - 4)
161 = ((4! + .4)% + .4) / .4%
162 = (4 + sqrt(4))! / 4.4~
163 = ((4 + 4!)% + .4~) / .4~%
164 = (sqrt(4) / .4)! + 44
165 = 44 / (.4 * sqrt(.4~))
166 = 4! * (.4 ^ -sqrt(4) + sqrt(.4~))
167 = sqrt(.4~ / 4) + (sqrt(.4~) / .4%)
168 = 4 * (44 - sqrt(4))
169 = sqrt((4 + (4 / .4~)) ^ 4)
170 = (4! + 44) / .4
171 = ((4 / 4%) - 4!) / .4~
172 = (4 * 44) - 4
173 = (4 - (4! / .4~)%) / sqrt(4)%
174 = (4 * 44) - sqrt(4)
175 = (4 + 4!) * .4 ^ -sqrt(4)
176 = sqrt(4 * 4) * 44
177 = ((sqrt(4) / .4)! - sqrt(4)) / sqrt(.4~)
178 = (4 * 44) + sqrt(4)
179 = ((4 + sqrt(4))! - 4) / 4
180 = 4 + (4 * 44)
181 = (4 + (4 + sqrt(4))!) / 4
182 = ((4 + sqrt(4))! / 4) + sqrt(4)
183 = (sqrt(4) + (sqrt(4) / .4)!) / sqrt(.4~)
184 = 4 * (sqrt(4) + 44)
185 = 44.4 / 4!%
186 = ((4 + sqrt(4))! + 4!) / 4
187 = (4 - (sqrt(4) + 4!)%) / sqrt(4)%
188 = ((4 + 4) * 4!) - 4
189 = (4! + (4! / .4)) / .4~
190 = ((4 + 4) * 4!) - sqrt(4)
191 = (4 / sqrt(4)%) - (4 / .4~)
192 = 4 * (4 + 44)
193 = sqrt(.4~% ^ -sqrt(4)) - root(.4, 4)
194 = ((4 + 4) * 4!) + sqrt(4)
195 = (4! + (4! / .4~)) / .4
196 = 4 + ((4 + 4) * 4!)
197 = (4 - (4 + sqrt(4))%) / sqrt(4)%
198 = sqrt(4) * 44 / .4~
199 = (4 / sqrt(4)%) - (4 / 4)
200 = (4 * 44) + 4!
201 = (4 / 4) + (4 / sqrt(4)%)
202 = 4 ^ 4 - (4! / .4~)
203 = (4 + (4 + sqrt(4))%) / sqrt(4)%
204 = ((4 + sqrt(4))! / 4) + 4!
205 = (4 + (.4 / 4)) / sqrt(4)%
206 = 4 ^ 4 - (sqrt(4) / 4%)
207 = ((4 * 4!) - 4) / .4~
208 = 4 * (4 + (sqrt(4) * 4!))
209 = (4 / sqrt(4)%) + (4 / .4~)
210 = ((4 + 4!) / 4)! / 4!
211 = 4 ^ 4 - (sqrt(4%) / .4~%)
212 = (4 * 4! / .4~) - 4
213 = (4 + (sqrt(4) + 4!)%) / sqrt(4)%
214 = (4 * 4! / .4~) - sqrt(4)
215 = ((4 * 4!) - .4~) / .4~
216 = ((4 + 4) * 4!) + 4!
217 = ((4 * 4!) + .4~) / .4~
218 = (4 * 4! / .4~) + sqrt(4)
219 = (44 - sqrt(4%)) / sqrt(4%)
220 = sqrt(4) * 44 / .4
221 = (4 / (4 * .4~)%) - 4
222 = 444 / sqrt(4)
223 = (4 / (4 * .4~)%) - sqrt(4)
224 = (4 + 4) * (4 + 4!)
225 = (4 + (4 * 4!)) / .4~
226 = (4 + (4 / .4~%)) / 4
227 = (4 / (4 * .4~)%) + sqrt(4)
228 = 4 ^ 4 - (4 + 4!)
229 = 4 + (4 / (4 * .4~)%)
230 = ((4 * 4!) - 4) / .4
231 = ((4 / .4~%) + 4!) / 4
232 = 4 * (4 + (4! / .4~))
233 = 4 + 4 + sqrt(.4~% ^ -sqrt(4))
234 = 4 * (sqrt(4) + 4!) / .4~
235 = ((4 * 4!) - sqrt(4)) / .4
236 = (4 * 4! / .4) - 4
237 = ((4 * 4) - sqrt(4%)) / sqrt(.4~%)
238 = (4 * 4! / .4) - sqrt(4)
239 = ((4 * 4!) - .4) / .4
240 = (4 + (4 / 4))! * sqrt(4)
241 = ((4 * 4!) + .4) / .4
242 = (4 * 4! / .4) + sqrt(4)
243 = (sqrt(4) / .4~) * 4! / .4~
244 = 4 + (4 * 4! / .4)
245 = ((4 * 4!) + sqrt(4)) / .4
246 = ((sqrt(4) / .4)! / .4~) - 4!
247 = 4 ^ 4 - (4 / .4~)
248 = 4 * (sqrt(4) + (4! / .4))
249 = ((4 / .4%) - 4) / 4
250 = (4 + (4 * 4!)) / .4
251 = 4 ^ 4 - (sqrt(4) / .4)
252 = 4 * (4 + 4!) / .4~
253 = 4 ^ 4 - sqrt(4 / .4~)
254 = (4! * 4! * .4~) - sqrt(4)
255 = 4 ^ 4 - (4 / 4)
256 = 4 * 4 * 4 * 4
257 = (4 / 4) + 4 ^ 4
258 = sqrt(4) + (4! * 4! * .4~)
259 = 4 ^ 4 + sqrt(4 / .4~)
260 = 4 * (sqrt(4) + 4!) / .4
261 = ((sqrt(4) / .4)! - 4) / .4~
262 = 4 + 4 ^ 4 + sqrt(4)
263 = (sqrt(4) - (4! + sqrt(.4~))%) / sqrt(.4~)%
264 = (4 + sqrt(4)) * 44
265 = 4 ^ 4 + (4 / .4~)
266 = ((sqrt(4) / .4)! / .4~) - 4
267 = 4! + root(sqrt(4%), sqrt(4 / .4~))
268 = ((sqrt(4) / .4)! / .4~) - sqrt(4)
269 = ((sqrt(4) / .4)! - .4~) / .4~
270 = (4 + (4 / 4))! / .4~
271 = ((sqrt(4) / .4)! + .4~) / .4~
272 = 4 * (4! + 44)
273 = ((sqrt(4) - sqrt(4)%) / sqrt(.4~)%) - 4!
274 = 4 + ((sqrt(4) / .4)! / .4~)
275 = 44 * .4 ^ -sqrt(4)
276 = ((4! * 4!) - 4!) / sqrt(4)
277 = ((sqrt(4) + sqrt(.4~)%) / sqrt(.4~)%) - 4!
278 = 4 ^ 4 - sqrt(4) + 4!
279 = (4 + (sqrt(4) / .4)!) / .4~
280 = 4 * (4 + 4!) / .4
281 = 4 ^ 4 + sqrt(4% ^ -sqrt(4))
282 = 4 ^ 4 + sqrt(4) + 4!
283
284 = ((4! / sqrt(4)) * 4!) - 4
285 = (4! + (.4 / .4~%)) / .4
286 = ((4! * 4!) - 4) / sqrt(4)
287 = ((4! * 4!) - sqrt(4)) / sqrt(4)
288 = (4 + 4 + 4) * 4!
289 = (sqrt(4) + (4! * 4!)) / sqrt(4)
290 = (4 + (4! * 4!)) / sqrt(4)
291 = (sqrt(4 * .4~) - 4%) / .4~%
292 = 4 + ((4! / sqrt(4)) * 4!)
293 = ((sqrt(4) - sqrt(4)%) / sqrt(.4~)%) - 4
294 = ((sqrt(4) / .4)! / .4~) + 4!
295 = ((sqrt(4) / .4)! - sqrt(4)) / .4
296 = 444 * sqrt(.4~)
297 = (4! - 4!%) / (4 + 4)%
298 = ((sqrt(4) / .4)! / .4) - sqrt(4)
299 = ((sqrt(4) / .4)! - .4) / .4
300 = (4! + (4! * 4!)) / sqrt(4)
301 = ((sqrt(4) / .4)! + .4) / .4
302 = sqrt(4) + ((sqrt(4) / .4)! / .4)
303 = (4! + 4!%) / (4 + 4)%
304 = 4 + ((sqrt(4) / .4)! / .4)
305 = (sqrt(4) + (sqrt(4) / .4)!) / .4
306 = 4 ^ 4 + (sqrt(4) / 4%)
307 = 4 + ((sqrt(4) + sqrt(4)%) / sqrt(.4~)%)
308 = 4 + 4 + (sqrt(4) / sqrt(.4~)%)
309 = (sqrt(4 * .4~) + 4%) / .4~%
310 = (4 + (sqrt(4) / .4)!) / .4
311 = (sqrt(sqrt(4) - 4%) / .4~%) - 4
312 = ((sqrt(4) + 4!) / sqrt(4)) * 4!
313 = (sqrt(sqrt(4) - 4%) / .4~%) - sqrt(4)
314 = 4 + ((sqrt(4) + sqrt(.4~%)) / sqrt(.4~)%)
315 = ((4 / 4) + .4) / .4~%
316 = ((4 + sqrt(4))! * .4~) - 4
317 = sqrt(4) + (sqrt(sqrt(4) - 4%) / .4~%)
318 = ((4 + sqrt(4))! * .4~) - sqrt(4)
319 = 4 + (sqrt(sqrt(4) - 4%) / .4~%)
320 = 4 * 4 * (4! - 4)
321 = ((sqrt(.4~) / .4%) - 4!) / .4~
322 = ((4 + sqrt(4))! * .4~) + sqrt(4)
323 = ((sqrt(4) - sqrt(.4~)%) / sqrt(.4~)%) + 4!
324 = 4 + ((4 + sqrt(4))! * .4~)
325 = ((sqrt(4) + 4!)! / 4!!) / sqrt(4)
326 = ((4! - sqrt(4)) / sqrt(.4~%)) - 4
327 = ((sqrt(4) + sqrt(4)%) / sqrt(.4~)%) + 4!
328 = (4 + (4 ^ 4)%) / sqrt(4)%
329 = (4! - (sqrt(4) + sqrt(.4~%))) / sqrt(.4~%)
330 = 44 / sqrt((4 * .4~)%)
331 = (4! - sqrt(4) + sqrt(.4~%)) / sqrt(.4~%)
332 = (sqrt(4) / sqrt(.4~)%) + root(.4, 4)
333 = (4 - .4%) / (sqrt(4) / .4)!%%
334 = 4 - ((sqrt(4) - 4!) / sqrt(.4~%))
335 = (4 + sqrt(4)%) / (sqrt(4) / .4)!%%
336 = ((4 * 4) - sqrt(4)) * 4!
337 = (sqrt(4) + (4! + sqrt(.4~))%) / sqrt(.4~)%
338 = sqrt((sqrt(4) + 4!) ^ 4 / 4)
339 = (sqrt(sqrt(4) - 4%) / .4~%) + 4!
340 = (4! + 44) / sqrt(4%)
341 = (sqrt(4) - (4% + .4~)) / .4~%
342 = (4 - sqrt(4%)) * .4 / .4~%
343 = ((sqrt(4) - sqrt(.4~%))% + sqrt(.4~)) / sqrt(4%)%
344 = ((4 + sqrt(4))! * .4~) + 4!
345 = (4! - (4 / 4)) / sqrt(.4~%)
346 = 4 ^ 4 + (.4 / .4~%)
347 = (4! - (sqrt(4%) + sqrt(.4~))) / sqrt(.4~%)
348 = ((4 + sqrt(4))! - 4!) / sqrt(4)
349 = (sqrt(sqrt(4) - 4%) - .4%) / .4%
350 = (4 + (4 / .4)) / 4%
351 = (sqrt(4) - 44%) / .4~%
352 = (4 + 4) * 44
353 = ((4! - sqrt(4%)) / sqrt(.4~%)) - 4
354 = (sqrt(4) / .4~%) - (4 * 4!)
355 = ((4 * .4~) - sqrt(4%)) / .4~%
356 = ((4 + sqrt(4))! / sqrt(4)) - 4
357 = (4! - (.4 / sqrt(4))) / sqrt(.4~%)
358 = ((4 + sqrt(4))! - 4) / sqrt(4)
359 = ((4 + sqrt(4))! - sqrt(4)) / sqrt(4)
360 = (4 * 4 * 4!) - 4!
361 = ((4 + sqrt(4))! + sqrt(4)) / sqrt(4)
362 = (4 + (4 + sqrt(4))!) / sqrt(4)
363 = (4! + (.4 / sqrt(4))) / sqrt(.4~%)
364 = 4 + ((4 + sqrt(4))! / sqrt(4))
365 = ((sqrt(.4~) / .4~%) - 4) / .4
366 = (sqrt(4) + 44%) / sqrt(.4~)%
367 = 4 + ((4! + sqrt(4%)) / sqrt(.4~%))
368 = 4 * ((4 * 4!) - 4)
369 = 4% ^ -sqrt(4) - 4 ^ 4
370 = 4 + ((4! + .4) / sqrt(.4~%))
371 = (4 / (.4 + sqrt(.4~))%) - 4
372 = ((4 + sqrt(4))! + 4!) / sqrt(4)
373 = (4 / (.4 + sqrt(.4~))%) - sqrt(4)
374 = ((sqrt(4) - .4~) / .4~%) + 4!
375 = (4! / .4) * .4 ^ -sqrt(4)
376 = 4 * ((4 * 4!) - sqrt(4))
377 = (4 / (.4 + sqrt(.4~))%) + sqrt(4)
378 = (4 ^ 4 - 4) / sqrt(.4~)
379 = 4 + (4 / (.4 + sqrt(.4~))%)
380 = (4 * 4 * 4!) - 4
381 = (4 ^ 4 - sqrt(4)) / sqrt(.4~)
382 = (4 * 4 * 4!) - sqrt(4)
383 = (4 ^ 4 - sqrt(.4~)) / sqrt(.4~)
384 = 4 * 4 * sqrt(4 * 4)!
385 = (4 ^ 4 + sqrt(.4~)) / sqrt(.4~)
386 = (4 * 4 * 4!) + sqrt(4)
387 = (4 ^ 4 + sqrt(4)) / sqrt(.4~)
388 = 4 + (4 * 4 * 4!)
389 = (sqrt(4) + 4! - sqrt(.4~%)) / sqrt(.4~%)
390 = (4 + 4 ^ 4) / sqrt(.4~)
391 = ((4 * .4~) - 4%) / .4~%
392 = 4 * ((4 * 4!) + sqrt(4))
393 = (sqrt(4) + 4! + sqrt(4%)) / sqrt(.4~%)
394 = ((4 * 4) - 4!%) / 4%
395 = ((4 * 4) - sqrt(4%)) / 4%
396 = 4 * 44 / .4~
397 = (sqrt(4) - (4! - .4~)%) / .4~%
398 = sqrt((4! - 4) ^ 4) - sqrt(4)
399 = ((4 * 4) - 4%) / 4%
400 = 4 * (4 + (4 * 4!))
401 = ((4 * 4) + 4%) / 4%
402 = sqrt(4) + sqrt((4! - 4) ^ 4)
403 = (4 + (4 + 4)! - 4!)%
404 = 4 + sqrt((4! - 4) ^ 4)
405 = (4 + sqrt(4))! / (4 * .4~)
406 = (sqrt(4) / .4~%) - 44
407 = 4 + (4 + 4)!% - sqrt(4%)
408 = (4 * 4 * 4!) + 4!
409 = ((4 * .4~) + 4%) / .4~%
410 = ((4 * 4) + .4) / 4%
411 = ((sqrt(4) - sqrt(.4~%)) / .4~%) - 4!
412 = (4 + 4 + 4!%) / sqrt(4)%
413
414 = (sqrt(4) - (4 * 4)%) / .4~%
415 = ((4 / 4%) - .4) / 4!%
416 = 4 * 4 * (sqrt(4) + 4!)
417 = ((sqrt(4) - 4%) / .4~%) - 4!
418 = (sqrt(4) / .4~%) - root(.4, 4)
419 = (4 + 4! - sqrt(.4~%)) / sqrt(.4~%)
420 = 444 - 4!
421 = (4 + 4! + sqrt(.4~%)) / sqrt(.4~%)
422 = (sqrt(4) / .4~%) - (4 + 4!)
423 = (4 - 4!%) / (sqrt(4) * .4~)%
424 = sqrt((4! - 4) ^ 4) + 4!
425 = ((4 / 4%) + sqrt(4)) / 4!%
426 = 4! * (4! - .4 ^ -sqrt(4))
427 = (4 + 4)!% + 4! - sqrt(4%)
428 = sqrt(4) + (sqrt(4) / .4~%) - 4!
429 = (4! + (sqrt(.4~) / .4%)) / .4~
430 = ((4 / .4~) - .4) / sqrt(4)%
431 = ((sqrt(4) - sqrt(.4~%)) / .4~%) - 4
432 = ((4 * 4) + sqrt(4)) * 4!
433 = ((sqrt(4) - sqrt(.4~%)) / .4~%) - sqrt(4)
434 = (sqrt(4) / .4~%) - (4 * 4)
435 = ((sqrt(4) + 4%) / .4~%) - 4!
436 = 4 * (4% + .4~) / .4~%
437 = ((sqrt(4) - 4%) / .4~%) - 4
438 = ((4 / .4~%) - 4!) / sqrt(4)
439 = ((sqrt(4) - 4%) / .4~%) - sqrt(4)
440 = 444 - 4
441 = sqrt((4! - sqrt(4 / .4~)) ^ 4)
442 = 444 - sqrt(4)
443 = sqrt(4) + ((sqrt(4) - 4%) / .4~%)
444 = sqrt(444 ^ sqrt(4))
445 = 4 + ((sqrt(4) - 4%) / .4~%)
446 = sqrt(4) + 444
447 = ((sqrt(4) + .4~%) / .4~%) - 4
448 = 4 + 444
449 = (sqrt(4) / .4~%) - (4 / 4)
450 = (4 + sqrt(4))! / (4 * .4)
451 = (4 / 4) + (sqrt(4) / .4~%)
452 = (4 + (4 / .4~%)) / sqrt(4)
453 = 4 + ((sqrt(4) - .4~%) / .4~%)
454 = 4 + (4 / (sqrt(4) * .4~)%)
455 = ((sqrt(4) + 4%) / .4~%) - 4
456 = ((4! - 4) * 4!) - 4!
457 = ((sqrt(4) + 4%) / .4~%) - sqrt(4)
458 = 4 + 4 + (sqrt(4) / .4~%)
459 = (4 + (4 / sqrt(4)%)) / .4~
460 = sqrt((4! - sqrt(4)) ^ 4) - 4!
461 = sqrt(4) + ((sqrt(4) + 4%) / .4~%)
462 = (4! - sqrt(4))! / (4! - 4)!
463 = 4 + ((sqrt(4) + 4%) / .4~%)
464 = 4 * ((sqrt(4) / .4)! - 4)
465 = (4 - (.4 / .4~)) / sqrt(.4~)%
466 = (4 * 4) + (sqrt(4) / .4~%)
467 = sqrt(4) + ((sqrt(4) + sqrt(.4~%)) / .4~%)
468 = 4! + 444
469 = 4 + ((sqrt(4) + sqrt(.4~%)) / .4~%)
470 = ((4 / .4~) + .4) / sqrt(4)%
471 = ((sqrt(4) - sqrt(4)%) / .4%) - 4!
472 = (4 - 4!) * (.4 - 4!)
473 = ((sqrt(4) - .4~%) / .4~%) + 4!
474 = (4 / (sqrt(4) * .4~)%) + 4!
475 = (sqrt(4) - (.4 / 4)) / .4%
476 = ((4! - 4) * 4!) - 4
477 = (4 + 4!%) / (sqrt(4) * .4~)%
478 = ((4! - 4) * 4!) - sqrt(4)
479 = ((4 * 4!) - sqrt(4%)) / sqrt(4%)
480 = 4! * (44 - 4!)
481 = ((4 * 4!) + sqrt(4%)) / sqrt(4%)
482 = sqrt(4) - ((4 - 4!) * 4!)
483 = ((sqrt(4) + 4%) / .4~%) + 4!
484 = 4 - ((4 - 4!) * 4!)
485 = (sqrt(4) - (4 + sqrt(4))%) / .4%
486 = (4 / .4~) * 4! / .4~
487
488 = (4! - 4) * (4! + .4)
489 = (sqrt(4) - 4.4%) / .4%
490 = ((4 / sqrt(4)%) - 4) / .4
491 = (sqrt(4) / .4%) - (4 / .4~)
492 = (sqrt(4) / .4%) - (4 + 4)
493 = ((sqrt(4) - sqrt(4)%) / .4%) - sqrt(4)
494 = (sqrt(4) / .4~%) + 44
495 = (sqrt(4) - 4!) / (.4 - .4~)
496 = 4 * (4 + (sqrt(4) / .4)!)
497 = ((sqrt(4) + .4%) / .4%) - 4
498 = ((4 / .4%) - 4) / sqrt(4)
499 = (sqrt(4) / .4%) - (4 / 4)
500 = (44 - 4!) / 4%
501 = (4 / 4) + (sqrt(4) / .4%)
502 = (4 + (4 / .4%)) / sqrt(4)
503 = 4 + ((sqrt(4) - .4%) / .4%)
504 = 4! - ((4 - 4!) * 4!)
505 = (4 + 4%) / (.4 + .4)%
506 = 4 + sqrt(4) + (sqrt(4) / .4%)
507 = sqrt(4) + ((sqrt(4) + sqrt(4)%) / .4%)
508 = (4 ^ 4 * sqrt(4)) - 4
509 = (4 / .4~) + (sqrt(4) / .4%)
510 = (4 ^ 4 * sqrt(4)) - sqrt(4)
511 = (4.4% + sqrt(4)) / .4%
512 = sqrt(4) * 4! * 4! * .4~
513 = (sqrt(4) + root(sqrt(4%), 4)) / sqrt(4)
514 = (4 ^ 4 * sqrt(4)) + sqrt(4)
515 = ((4 + sqrt(4))% + sqrt(4)) / .4%
516 = (4! * 4!) - (4! / .4)
517
518 = ((4 + sqrt(4))!%% + sqrt(4)) / .4%
519 = ((sqrt(4) - sqrt(4)%) / .4%) + 4!
520 = (sqrt(4) + 4!) * (4! - 4)
521
522 = (4! * 4!) - (4! / .4~)
523 = ((sqrt(4) - .4%) / .4%) + 4!
524 = ((4! - sqrt(4)) * 4!) - 4
525 = (4! - sqrt(.4~)) / (.4~ - .4)
526 = ((4! - sqrt(4)) * 4!) - sqrt(4)
527
528 = (4! / sqrt(4)) * 44
529 = sqrt((4! - (4 / 4)) ^ 4)
530 = sqrt(4) - ((sqrt(4) - 4!) * 4!)
531 = (4! - .4) / (.4~ - .4)
532 = (4! * 4!) - 44
533 = ((4! * .4~) - sqrt(.4~)%) / sqrt(4)%
534 = (4 - 44%) / sqrt(.4~)%
535 = 4% ^ -sqrt(4) - (.4 / .4~%)
536 = (4! / (.4~ - .4)) - 4
537 = (4 - (sqrt(4)% + .4)) / sqrt(.4~)%
538 = (4! / (.4~ - .4)) - sqrt(4)
539 = (sqrt(4) + .4 - .4~%) / .4~%
540 = 4 * 4! / (.4 * .4~)
541 = (sqrt(4) - 4% + .4~) / .4~%
542 = sqrt(4) - (4! / (.4 - .4~))
543 = (4 + sqrt(4)% - .4) / sqrt(.4~)%
544 = 4 - (4! / (.4 - .4~))
545 = (4! - sqrt(4)%) / 4.4%
546 = ((4! - sqrt(4)) / 4%) - 4
547
548 = (4! * 4!) - (4 + 4!)
549 = (4! + .4) / (.4~ - .4)
550 = (4! * 4!) - (sqrt(4) + 4!)
551 = (4! - sqrt(4) + 4%) / 4%
552 = (4! - (4 / 4)) * 4!
553
554 = sqrt(4) + (4! * 4!) - 4!
555 = (4! + sqrt(.4~)) / (.4~ - .4)
556 = 4 + (4! * 4!) - 4!
557 = (4! - .4) ^ sqrt(4) + 4%
558 = (4! * (4! - sqrt(.4~))) - sqrt(4)
559 = (sqrt(4) + (4! - .4)%) / .4%
560 = (4 + 4!) * (4! - 4)
561 = (sqrt(4) + (4! + .4)%) / .4%
562 = sqrt(4) + (4! * (4! - sqrt(.4~)))
563 = (4 - (4! + sqrt(.4~))%) / sqrt(.4~)%
564 = (4! - (sqrt(4) / 4)) * 4!
565 = 4% ^ -sqrt(4) - (4! / .4)
566 = (4! * 4!) - (4 / .4)
567 = (4! * 4!) - (4 / .4~)
568 = (4! * 4!) - (4 + 4)
569 = (4 - (sqrt(4%) + sqrt(.4~)%)) / sqrt(.4~)%
570 = (4! * 4!) - (4 + sqrt(4))
571 = (4! * 4!) - (sqrt(4) / .4)
572 = (sqrt(4 * 4)! * 4!) - 4
573 = (4! * 4!) - sqrt(4 / .4~)
574 = sqrt(4) - 4 + (4! * 4!)
575 = (4! * 4!) - (4 / 4)
576 = (4 + 4 - 4)! * 4!
577 = (4 / 4) + (4! * 4!)
578 = 4 - sqrt(4) + (4! * 4!)
579 = sqrt(4 / .4~) + (4! * 4!)
580 = 4 + (sqrt(4 * 4)! * 4!)
581 = (sqrt(4) / .4) + (4! * 4!)
582 = 4 + sqrt(4) + (4! * 4!)
583
584 = 4 + 4 + (4! * 4!)
585 = (4 / .4~) + (4! * 4!)
586 = (4 / .4) + (4! * 4!)
587 = (4 - (sqrt(4)% + sqrt(.4~%))) / sqrt(.4~)%
588 = ((sqrt(4) / 4) + 4!) * 4!
589 = (4! - 44%) / 4%
590 = (4! * (4! + sqrt(.4~))) - sqrt(4)
591 = (4! / 4%) - (4 / .4~)
592 = (4 * 4) + (4! * 4!)
593 = 4% ^ -sqrt(4) - root(.4, 4)
594 = sqrt(4) + (4! * (4! + sqrt(.4~)))
595 = ((4! - 4%) / 4%) - 4
596 = 4! - 4 + (4! * 4!)
597 = ((4! + 4%) / 4%) - 4
598 = 4! - sqrt(4) + (4! * 4!)
599 = (4! / 4%) - (4 / 4)
600 = ((4 / 4) + 4!) * 4!
601 = (sqrt(4) / .4) ^ 4 - 4!
602 = sqrt(4) + 4! + (4! * 4!)
603 = 4 + ((4! - 4%) / 4%)
604 = 4 + 4! + (4! * 4!)
605 = 4 + ((4! + 4%) / 4%)
606 = ((4! + .4) / 4%) - 4
607 = ((4 + 4!)% + 4!) / 4%
608 = (4 + sqrt(4))! * (.4 + .4~)
609 = (4 / .4~) + (4! / 4%)
610 = (sqrt(4) + 44%) / .4%
611 = (4! + 44%) / 4%
612 = (4! * 4!) + (4! / sqrt(.4~))
613 = 4% ^ -sqrt(4) - (4! / sqrt(4))
614 = 4 + ((4! + .4) / 4%)
615 = (4 + (.4 / 4)) / sqrt(.4~)%
616 = (4 + 4!) * (4! - sqrt(4))
617 = 4% ^ -sqrt(4) - (4 + 4)
618 = 4! + ((4! - 4!%) / 4%)
619 = 4% ^ -sqrt(4) - (4 + sqrt(4))
620 = (4! * 4!) + 44
621 = (sqrt(4) / .4) ^ 4 - 4
622 = ((sqrt(4) + 4!) * 4!) - sqrt(4)
623 = (sqrt(4) / .4) ^ 4 - sqrt(4)
624 = (4 + sqrt(4))! - (4 * 4!)
625 = (4 + (4 / 4)) ^ 4
626 = sqrt(4) + ((sqrt(4) + 4!) * 4!)
627 = sqrt(4) + (sqrt(4) / .4) ^ 4
628 = 4 + ((sqrt(4) + 4!) * 4!)
629 = 4 + (sqrt(4) / .4) ^ 4
630 = (4 + 4!) / (.4~ - .4)
631 = 4 + sqrt(4) + 4% ^ -sqrt(4)
632 = (4! / 4%) + root(.4, 4)
633 = 4 + 4 + 4% ^ -sqrt(4)
634 = 4! + ((4! + .4) / 4%)
635 = (4 ^ 4 - sqrt(4)) / .4
636 = (4! * 4!) + (4! / .4)
637 = (4! / sqrt(4)) + 4% ^ -sqrt(4)
638 = (4 ^ 4 / .4) - sqrt(4)
639 = (4 ^ 4 - .4) / .4
640 = 4! * (4! / .4) * .4~
641 = (4 ^ 4 + .4) / .4
642 = (4 ^ 4 / .4) + sqrt(4)
643 = ((sqrt(4%) - 4!)% + sqrt(.4~)) / sqrt(.4~%)%
644 = 4 + (4 ^ 4 / .4)
645 = (4 ^ 4 + sqrt(4)) / .4
646 = ((sqrt(4) + 4!)! / 4!!) - 4
647 = 4! - sqrt(4) + 4% ^ -sqrt(4)
648 = ((4 + 4!) * 4!) - 4!
649 = (sqrt(4) / .4) ^ 4 + 4!
650 = (4 - sqrt(4) + 4!)! / 4!!
651 = (sqrt(4) + 4! + 4%) / 4%
652 = sqrt(4) + ((sqrt(4) + 4!)! / 4!!)
653 = 4 + 4! + 4% ^ -sqrt(4)
654 = 4 + ((sqrt(4) + 4!)! / 4!!)
655 = (sqrt(4) + 4! + sqrt(4%)) / 4%
656 = (4 + 4! - sqrt(.4~)) * 4!
657 = (44 - sqrt(4%)) / sqrt(.4~%)
658 = (44 / sqrt(.4~%)) - sqrt(4)
659 = (44 - sqrt(.4~%)) / sqrt(.4~%)
660 = (4 + sqrt(4))! - (4! / .4)
661 = (44 + sqrt(.4~%)) / sqrt(.4~%)
662 = sqrt(4) + (44 / sqrt(.4~%))
663 = (sqrt(4%) + 44) / sqrt(.4~%)
664 = (4 ^ 4 / .4) + 4!
665 = ((4 * sqrt(.4~)) - sqrt(.4~)%) / .4%
666 = 444 / sqrt(.4~)
667 = (4 + sqrt(4%)%) / (4! / .4)%%
668 = ((4 + 4!) * 4!) - 4
669 = 4% ^ -sqrt(4) + 44
670 = ((4 + 4!) * 4!) - sqrt(4)
671 = (4! / (4 - .4~)%) - 4
672 = (4 + sqrt(4 * 4)!) * 4!
673 = (4! / (4 - .4~)%) - sqrt(4)
674 = ((4 + 4!) * 4!) + sqrt(4)
675 = (sqrt(4) / .4)! / (.4 * .4~)
676 = (4 + sqrt(4))! - 44
677 = sqrt(4) + (4! / (4 - .4~)%)
678 = sqrt(4) + sqrt((sqrt(4) + 4!) ^ 4)
679 = 4 + (4! / (4 - .4~)%)
680 = 4 + sqrt((sqrt(4) + 4!) ^ 4)
681 = (4 + (sqrt(4) / .4~%)) / sqrt(.4~)
682 = (root(sqrt(4%), 4) * sqrt(.4~)) - sqrt(.4~)
683
684 = ((sqrt(4) / .4~) + 4!) * 4!
685 = (4! / .4) + 4% ^ -sqrt(4)
686 = root(sqrt(.4~), sqrt(4) - 4%) / .4%
687
688 = (4 + 4! + sqrt(.4~)) * 4!
689
690 = (4 + 4! - .4) / 4%
691
692 = (4 + sqrt(4))! - (4 + 4!)
693
694 = (4 + sqrt(4))! - (sqrt(4) + 4!)
695 = (4 + 4! - sqrt(4%)) / 4%
696 = (4 - (4 / 4))!! - 4!
697 = (4 - sqrt(4)% + sqrt(.4~)) / sqrt(.4~)%
698 = (4 + sqrt(4))! + sqrt(4) - 4!
699 = (4 + 4! - 4%) / 4%
700 = 4 + (4 + sqrt(4))! - 4!
701 = (4 + 4! + 4%) / 4%
702 = ((4 + 4!) / 4%) + sqrt(4)
703 = (4 + sqrt(4)% + sqrt(.4~)) / sqrt(.4~)%
704 = 4 * 4 * 44
705 = (4 + 4! + sqrt(4%)) / 4%
706 = 4 ^ 4 + (sqrt(4) / .4~%)
707
708 = (4 + sqrt(4))! - (4! / sqrt(4))
709
710 = (4 + sqrt(4))! - (4 / .4)
711 = (4 + sqrt(4))! - (4 / .4~)
712 = (4 + sqrt(4))! - (4 + 4)
713
714 = (4 + sqrt(4))! - (4 + sqrt(4))
715 = (4 + sqrt(4))! - (sqrt(4) / .4)
716 = (4 - (4 / 4))!! - 4
717 = (4 + sqrt(4))! - sqrt(4 / .4~)
718 = (4 - (4 / 4))!! - sqrt(4)
719 = (4 + sqrt(4))! - (4 / 4)
720 = sqrt(44 - (4 + 4))!
721 = (4 / 4) + (4 + sqrt(4))!
722 = (4 - (4 / 4))!! + sqrt(4)
723 = (4 + sqrt(4))! + sqrt(4 / .4~)
724 = 4 + (4 - (4 / 4))!!
725 = (4 + sqrt(4))! + (sqrt(4) / .4)
726 = 4 + (4 + sqrt(4))! + sqrt(4)
727
728 = 4 + 4 + (4 + sqrt(4))!
729 = (4 + sqrt(4))! + (4 / .4~)
730 = (4 + sqrt(4))! + (4 / .4)
731
732 = (4 + sqrt(4))! + (4! / sqrt(4))
733
734
735 = (4 + (.4 / .4~)) / sqrt(.4~)%
736 = (4 * 4) + (4 + sqrt(4))!
737
738 = (root(-sqrt(4), .4~%) - 4!%) / sqrt(4)%
739
740 = (4 + sqrt(4))! - 4 + 4!
741 = (4 - (4% + sqrt(.4~))) / .4~%
742 = (4 + sqrt(4))! - sqrt(4) + 4!
743
744 = (4 - (4 / 4))!! + 4!
745 = (sqrt(4 / .4~) - sqrt(4)%) / .4%
746 = (4 + sqrt(4))! + sqrt(4) + 4!
747 = ((sqrt(4) / .4%) - sqrt(4)) / sqrt(.4~)
748 = 4 + (4 + sqrt(4))! + 4!
749 = (sqrt(4 / .4~%) - 4%) / 4%
750 = (sqrt(4) / .4)! * .4 ^ -sqrt(4)
751 = (4 + (sqrt(4) / sqrt(.4~%)%)) / 4
752 = (4 + sqrt(4))! + root(.4, 4)
753 = (sqrt(4) + (sqrt(4) / .4%)) / sqrt(.4~)
754 = 4 + (sqrt(4 / .4~) / .4%)
755 = (4 - (sqrt(4%) + .4~)) / .4~%
756 = (4 + 4!)! / (sqrt(4) + 4!)!
757
758
759 = (4 + 4% - sqrt(.4~)) / .4~%
760 = sqrt((4 + 4!) ^ 4) - 4!
761
762 = (root(-sqrt(4), .4~%) + 4!%) / sqrt(4)%
763
764 = (4 + sqrt(4))! + 44
765 = (4 - (4! / .4)%) / .4~%
766 = (4! * root(.4, 4)) - sqrt(4)
767
768 = 4 * (4 + 4) * 4!
769
770 = sqrt(4) + (4! * root(.4, 4))
771
772 = 4 + (4! * root(.4, 4))
773
774 = (4 + sqrt(4))! + (4! / .4~)
775 = (4 - (.4 / .4~)) / .4%
776 = (root(.4, 4) / 4%) - 4!
777
778
779
780 = (4 + sqrt(4))! + (4! / .4)
781
782 = sqrt((4 + 4!) ^ 4) - sqrt(4)
783 = (4 + sqrt(4%)%) / (.4~ + sqrt(.4~%))%
784 = (4 + 4!) * (4 + 4!)
785 = (4 - (.4~ + sqrt(.4~%))) / .4~%
786 = sqrt((4 + 4!) ^ 4) + sqrt(4)
787
788 = 4 + sqrt((4 + 4!) ^ 4)
789
790 = (root(.4, 4) - .4) / 4%
791 = (4 - (4% + .4~)) / .4~%
792 = ((4 / .4~) + 4!) * 4!
793
794 = (root(.4, 4) - 4!%) / 4%
795 = (root(.4, 4) - sqrt(4%)) / 4%
796 = (root(.4, 4) / 4%) - 4
797
798 = (root(.4, 4) / 4%) - sqrt(4)
799 = (root(.4, 4) - 4%) / 4%
800 = ((4 + sqrt(4))! / .4) * .4~
801 = (4 - 44%) / .4~%
802 = sqrt(4) + (root(.4, 4) / 4%)
803
804 = 4 + (root(.4, 4) / 4%)
805 = (sqrt(4%) + root(.4, 4)) / 4%
806 = ((4 - .4) / .4~%) - 4
807 = ((4! / .4~) - sqrt(4%)) / sqrt(.4~%)
808 = sqrt((4 + 4!) ^ 4) + 4!
809 = (4 + 4% - .4~) / .4~%
810 = (4 + sqrt(4))! / (sqrt(4) * .4~)
811 = (4 - .4 + .4~%) / .4~%
812 = ((4 - .4) / .4~%) + sqrt(4)
813 = ((4! / .4~) + sqrt(4%)) / sqrt(.4~%)
814 = 4 + ((4 - .4) / .4~%)
815 = (4 - .4~ + sqrt(.4~%)) / .4~%
816 = (4 + sqrt(4))! + (4 * 4!)
817
818
819 = (4 + 4% - .4) / .4~%
820 = ((4 * 4) + .4) / sqrt(4)%
821
822 = ((4 - 4!%) / .4~%) - 4!
823
824 = 4! + (root(.4, 4) / 4%)
825 = ((4 / .4~) + 4!) / 4%
826 = (4! * 4!) + sqrt(.4% ^ -sqrt(4))
827
828 = ((4! * 4!) - 4!) / sqrt(.4~)
829
830 = ((4 / 4!%) - sqrt(.4~%)) / sqrt(4)%
831 = ((4 - sqrt(4%)) / .4~%) - 4!
832 = 4! * (4! + (4! * .4~))
833 = ((4 / 4!%) - sqrt(.4~)%) / sqrt(4)%
834 = ((4 - .4) / .4~%) + 4!
835 = ((4 / sqrt(4)%) + .4) / 4!%
836
837 = (4 - (4 + 4!)%) / .4~%
838
839
840 = (4 + 4)! / (sqrt(4) * 4!)
841 = sqrt(((sqrt(4) / .4) + 4!) ^ 4)
842 = ((4 - 4!%) / .4~%) - 4
843
844 = ((4 - 4!%) / .4~%) - sqrt(4)
845 = (4 - (4! + .4~)%) / .4~%
846 = (4 / .4~%) - (4! / .4~)
847 = (4 - (4! - .4~)%) / .4~%
848 = 4! * (4! - .4~) / sqrt(.4~)
849
850 = ((4 / .4) + 4!) / 4%
851 = ((4 - sqrt(4%)) / .4~%) - 4
852 = (4 / .4~%) - (sqrt(4) * 4!)
853 = ((4 - sqrt(4%)) / .4~%) - sqrt(4)
854 = (4 + 4!% - .4~) / .4~%
855 = (4 - (.4 / sqrt(4))) / .4~%
856 = (4 / .4~%) - 44
857 = ((4 - sqrt(4%)) / .4~%) + sqrt(4)
858 = ((4! * 4!) - 4) / sqrt(.4~)
859 = 4 + ((4 - sqrt(4%)) / .4~%)
860 = (4! * 4! / sqrt(.4~)) - 4
861 = ((4! * 4!) - sqrt(4)) / sqrt(.4~)
862 = (4! * 4! / sqrt(.4~)) - sqrt(4)
863 = ((4! * 4!) - sqrt(.4~)) / sqrt(.4~)
864 = ((4! / sqrt(4)) + 4!) * 4!
865 = ((4! * 4!) + sqrt(.4~)) / sqrt(.4~)
866 = sqrt(4) + (4! * 4! / sqrt(.4~))
867 = (sqrt(4) + (4! * 4!)) / sqrt(.4~)
868 = 4 + (4! * 4! / sqrt(.4~))
869
870 = (4 + (4! * 4!)) / sqrt(.4~)
871
872 = (4 / .4~%) - (4 + 4!)
873 = (4 - (4! / sqrt(4))%) / .4~%
874 = (4 / .4~%) - (sqrt(4) + 4!)
875 = (4 - (sqrt(4) / 4)) / .4%
876 = ((4 - .4) / .4%) - 4!
877 = ((4 + .4~%) / .4~%) - 4!
878 = (4 / .4~%) + sqrt(4) - 4!
879 = ((4 - sqrt(4%)) / .4~%) + 4!
880 = (4! - 4) * 44
881 = 4 ^ 4 + 4% ^ -sqrt(4)
882 = (4 - (4 + 4)%) / .4~%
883 = ((4 - sqrt(.4~%)) / .4~%) - sqrt(4)
884 = (4 / .4~%) - (4 * 4)
885 = ((4 + 4%) / .4~%) - 4!
886 = (4 + .4~% - sqrt(.4~%)) / .4~%
887 = ((4 - 4%) / .4~%) - 4
888 = sqrt(4) * 444
889 = ((4 - 4%) / .4~%) - sqrt(4)
890 = (4 - 44%) / .4%
891 = (4 / .4~%) - (4 / .4~)
892 = (4 / .4~%) - (4 + 4)
893 = ((4 - 4%) / .4~%) + sqrt(4)
894 = (4 / .4~%) - (4 + sqrt(4))
895 = 4 + ((4 - 4%) / .4~%)
896 = (sqrt(4) - .4~) * 4! * 4!
897 = ((4 + .4~%) / .4~%) - 4
898 = (4 / .4~%) - 4 + sqrt(4)
899 = (4 / .4~%) - (4 / 4)
900 = (4 + sqrt(4))! / (.4 + .4)
901 = (4 / 4) + (4 / .4~%)
902 = 4 + (4 / .4~%) - sqrt(4)
903 = 4 + ((4 - .4~%) / .4~%)
904 = 4 + ((4 - .4) / .4%)
905 = ((4 + 4%) / .4~%) - 4
906 = 4 + (4 / .4~%) + sqrt(4)
907 = ((4 + 4%) / .4~%) - sqrt(4)
908 = 4 + 4 + (4 / .4~%)
909 = (4 / .4~) + (4 / .4~%)
910 = (4 / .4) + (4 / .4~%)
911 = ((4 + 4%) / .4~%) + sqrt(4)
912 = (sqrt(4) + (4! / sqrt(.4~))) * 4!
913 = 4 + ((4 + 4%) / .4~%)
914 = (4 - .4~% + sqrt(.4~%)) / .4~%
915 = ((4 - 4%) / .4~%) + 4!
916 = (4 * 4) + (4 / .4~%)
917 = ((4 + sqrt(.4~%)) / .4~%) + sqrt(4)
918 = (4 + (4 + 4)%) / .4~%
919 = 4 + ((4 + sqrt(.4~%)) / .4~%)
920 = (4 / .4~%) - 4 + 4!
921 = ((4 + sqrt(4%)) / .4~%) - 4!
922 = (4 / .4~%) - sqrt(4) + 4!
923 = ((4 - .4~%) / .4~%) + 4!
924 = ((4 - .4) / .4%) + 4!
925 = (4 + (.4~ / 4)) / .4~%
926 = (4 / .4~%) + sqrt(4) + 4!
927 = (4 + (4! / sqrt(4))%) / .4~%
928 = 4 * (4 ^ 4 - 4!)
929
930 = (4 - (4 + 4!)%) / .4%
931
932 = (4 / .4~%) + root(.4, 4)
933 = ((4 + 4%) / .4~%) + 4!
934 = root(sqrt(4%), 4) - (.4 / .4~%)
935 = (4 - (sqrt(4) + 4!)%) / .4%
936 = (sqrt(4) + 4!) * 4! / sqrt(.4~)
937 = (sqrt(.4~) - (4 + sqrt(4%))%) / sqrt(.4~%)%
938 = ((4 - 4!%) / .4%) - sqrt(4)
939 = (4 - (4! + .4)%) / .4%
940 = (4 / .4%) - (4! / .4)
941 = ((4 + sqrt(4%)) / .4~%) - 4
942 = ((4 - 4!%) / .4%) + sqrt(4)
943 = ((4 + sqrt(4%)) / .4~%) - sqrt(4)
944 = (4 / .4~%) + 44
945 = (4 + (.4 / sqrt(4))) / .4~%
946 = ((4 - sqrt(4%)) / .4%) - 4
947 = ((4 + sqrt(4%)) / .4~%) + sqrt(4)
948 = ((4 + 4)!% - 4!) / .4
949 = 4 + ((4 + sqrt(4%)) / .4~%)
950 = (4 - (.4 / sqrt(4))) / .4%
951 = (4 - sqrt(4%) + .4%) / .4%
952 = (4 / .4%) - (sqrt(4) * 4!)
953 = (4 + (4! - .4~)%) / .4~%
954 = 4 + ((4 - sqrt(4%)) / .4%)
955 = (4 + (4! + .4~)%) / .4~%
956 = (4 / .4%) - 44
957 = ((4! - sqrt(4%))% + .4) / sqrt(.4~%)%
958 = 4 + ((4 + 4!%) / .4~%)
959 = ((4! - sqrt(.4~%))% + .4) / sqrt(.4~%)%
960 = 4! * (44 - 4)
961 = ((sqrt(4) + sqrt(.4~%)) / sqrt(.4~%)) ^ sqrt(4)
962 = sqrt(4) + (4! / sqrt(.4 ^ -sqrt(4))%)
963 = (4 + (4 + 4!)%) / .4~%
964 = root(sqrt(4%), 4) - (4! / .4)
965
966 = ((4 - 4%) / .4%) - 4!
967 = (sqrt(.4~) - (sqrt(4) + sqrt(4%))%) / sqrt(.4~%)%
968 = (4! - sqrt(4)) * 44
969 = ((4 + sqrt(4%)) / .4~%) + 4!
970 = root(sqrt(4%), 4) - (4! / .4~)
971 = ((4 - sqrt(4)%) / .4%) - 4!
972 = (4 / .4%) - (4 + 4!)
973 = ((sqrt(4%) - sqrt(4))% + sqrt(.4~)) / sqrt(.4~%)%
974 = (4 / .4%) - (sqrt(4) + 4!)
975 = ((sqrt(4) + 4!)! / 4!!) / sqrt(.4~)
976 = 4 ^ 4 + (4 + sqrt(4))!
977 = ((4 + .4%) / .4%) - 4!
978 = (4 / .4%) + sqrt(4) - 4!
979 = root(sqrt(4%), 4) - (sqrt(4%) / .4~%)
980 = root(sqrt(4%), 4) - 44
981 = (4 - 4% + .4) / .4~%
982 = (4 - (4 + sqrt(4))!%%) / .4%
983
984 = sqrt(((4 + 4)! + 4!) * 4!)
985 = (4 - (4 + sqrt(4))%) / .4%
986 = ((4 - 4%) / .4%) - 4
987 = (sqrt(.4~) - (sqrt(4%) + sqrt(.4~))%) / sqrt(.4~%)%
988 = ((4 - 4%) / .4%) - sqrt(4)
989 = (4 - 4.4%) / .4%
990 = 44 / (.4~ - .4)
991 = (4 / .4%) - (4 / .4~)
992 = (4 / .4%) - (4 + 4)
993 = ((4 - sqrt(4)%) / .4%) - sqrt(4)
994 = 4 + ((4 - 4%) / .4%)
995 = ((4 - .4%) / .4%) - 4
996 = (sqrt(4 * 4) / .4%) - 4
997 = ((4 + .4%) / .4%) - 4
998 = ((4 + 4)!% - 4) / .4
999 = 444 / .4~
1000 = (4 * 4 ^ 4) - 4!
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