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2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi only. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac {\text {number of rules}}{\text {integrand size}}\) is also given. The larger this ratio is, the harder the integral is to solve. In this test file, problem number [173] had the largest ratio of [1.13332999999999995]

# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\)
1 A 6 5 0.87 22 0.227
2 A 6 5 0.91 22 0.227
3 A 6 5 0.94 22 0.227
4 A 6 5 1.00 22 0.227
5 A 6 5 1.11 22 0.227
6 A 1 1 1.00 13 0.077
7 A 5 5 1.02 22 0.227
8 A 7 7 1.07 22 0.318
9 A 9 9 1.10 22 0.409
10 A 11 11 1.12 22 0.500
11 A 10 10 1.09 22 0.455
12 A 8 8 1.07 22 0.364
13 A 6 6 1.02 22 0.273
14 A 4 4 1.00 20 0.200
15 A 4 4 1.00 20 0.200
16 A 6 5 1.00 22 0.227
17 A 6 5 0.94 22 0.227
18 A 6 5 0.87 22 0.227
19 A 5 4 0.86 24 0.167
20 A 5 4 0.88 24 0.167
21 A 5 4 0.91 24 0.167
22 A 4 3 1.00 24 0.125
23 A 4 4 1.00 15 0.267
24 A 4 3 1.00 24 0.125
25 A 5 4 1.06 24 0.167
26 A 5 4 0.92 24 0.167
27 A 5 4 0.89 24 0.167
28 A 10 10 1.03 24 0.417
29 A 8 8 1.01 24 0.333
30 A 6 6 0.96 22 0.273
31 A 4 4 1.00 22 0.182
32 A 4 4 1.00 24 0.167
33 A 6 5 0.96 24 0.208
34 A 6 5 0.90 24 0.208
35 A 6 5 0.82 24 0.208
36 A 5 4 0.86 24 0.167
37 A 5 4 0.88 24 0.167
38 A 5 4 0.91 24 0.167
39 A 4 3 1.00 24 0.125
40 A 6 6 1.06 15 0.400
41 A 5 4 0.90 24 0.167
42 A 4 3 1.00 24 0.125
43 A 5 4 0.95 24 0.167
44 A 5 4 0.86 24 0.167
45 A 10 10 1.06 24 0.417
46 A 8 8 1.03 22 0.364
47 A 6 6 1.02 22 0.273
48 A 2 2 1.00 24 0.083
49 A 8 7 0.99 24 0.292
50 A 8 7 0.93 24 0.292
51 A 8 7 0.86 24 0.292
52 A 12 12 1.06 24 0.500
53 A 10 10 1.05 22 0.455
54 A 8 8 1.03 22 0.364
55 A 6 6 1.09 24 0.250
56 A 4 4 1.00 24 0.167
57 A 8 7 1.05 24 0.292
58 A 8 7 0.99 24 0.292
59 A 5 4 0.86 24 0.167
60 A 5 4 0.88 24 0.167
61 A 5 4 0.91 24 0.167
62 A 4 3 1.00 24 0.125
63 A 10 10 1.07 15 0.667
64 A 5 4 0.94 24 0.167
65 A 5 4 0.92 24 0.167
66 A 5 4 0.91 24 0.167
67 A 4 3 1.00 24 0.125
68 A 5 4 0.88 24 0.167
69 A 5 4 0.85 24 0.167
70 A 12 12 1.05 22 0.545
71 A 10 10 1.05 22 0.455
72 A 8 8 1.05 24 0.333
73 A 2 2 1.00 24 0.083
74 A 6 6 1.03 24 0.250
75 A 10 9 0.99 24 0.375
76 A 10 9 0.93 24 0.375
77 A 5 4 0.86 24 0.167
78 A 5 4 0.88 24 0.167
79 A 5 4 0.91 24 0.167
80 A 4 3 1.00 24 0.125
81 A 16 16 1.06 15 1.067
82 A 5 4 0.91 24 0.167
83 A 5 4 0.91 24 0.167
84 A 5 4 0.89 24 0.167
85 A 4 3 0.98 24 0.125
86 A 5 4 0.88 24 0.167
87 A 5 4 0.91 24 0.167
88 A 4 3 1.00 24 0.125
89 A 5 4 0.87 24 0.167
90 A 5 4 0.86 24 0.167
91 A 16 16 1.06 22 0.727
92 A 14 14 1.05 24 0.583
93 A 12 12 1.05 24 0.500
94 A 10 10 1.07 24 0.417
95 A 4 4 1.00 24 0.167
96 A 8 8 1.04 24 0.333
97 A 12 12 1.03 24 0.500
98 A 12 11 0.99 24 0.458
99 A 5 4 0.86 24 0.167
100 A 5 4 0.88 24 0.167
101 A 5 4 0.91 24 0.167
102 A 4 3 1.00 24 0.125
103 A 4 3 1.04 24 0.125
104 A 3 3 1.00 15 0.200
105 A 5 4 1.06 24 0.167
106 A 5 4 0.91 24 0.167
107 A 8 8 1.01 24 0.333
108 A 6 6 0.98 24 0.250
109 A 4 4 1.00 24 0.167
110 A 2 2 1.00 22 0.091
111 A 4 4 1.00 22 0.182
112 A 6 5 0.96 24 0.208
113 A 6 5 0.89 24 0.208
114 A 5 4 0.88 24 0.167
115 A 5 4 0.91 24 0.167
116 A 4 3 1.00 24 0.125
117 A 5 4 1.03 24 0.167
118 A 4 3 0.96 24 0.125
119 A 5 5 1.07 15 0.333
120 A 5 4 1.01 24 0.167
121 A 5 4 0.96 24 0.167
122 A 10 10 1.05 24 0.417
123 A 8 8 1.04 24 0.333
124 A 6 6 1.00 24 0.250
125 A 4 4 1.00 24 0.167
126 A 4 4 0.98 22 0.182
127 A 6 5 0.96 22 0.227
128 A 6 5 0.90 24 0.208
129 A 6 5 0.82 24 0.208
130 A 5 4 0.86 24 0.167
131 A 5 4 0.88 24 0.167
132 A 5 4 0.91 24 0.167
133 A 4 3 1.00 24 0.125
134 A 5 4 1.00 24 0.167
135 A 5 4 0.94 24 0.167
136 A 4 3 1.00 24 0.125
137 A 7 7 1.10 15 0.467
138 A 5 4 0.94 24 0.167
139 A 5 4 0.87 24 0.167
140 A 10 10 1.08 24 0.417
141 A 8 8 1.05 24 0.333
142 A 6 6 1.08 24 0.250
143 A 2 2 1.00 24 0.083
144 A 6 6 1.04 22 0.273
145 A 8 7 1.05 22 0.318
146 A 8 7 0.99 24 0.292
147 A 8 7 0.92 24 0.292
148 A 5 4 0.88 24 0.167
149 A 5 4 0.91 24 0.167
150 A 4 3 1.00 24 0.125
151 A 5 4 0.88 24 0.167
152 A 5 4 0.94 24 0.167
153 A 4 3 0.97 24 0.125
154 A 4 3 1.00 24 0.125
155 A 9 9 1.11 15 0.600
156 A 5 4 0.94 24 0.167
157 A 5 4 0.89 24 0.167
158 A 10 10 1.08 24 0.417
159 A 8 8 1.06 24 0.333
160 A 6 6 1.09 24 0.250
161 A 4 4 1.00 24 0.167
162 A 8 8 1.06 22 0.364
163 A 10 9 1.07 22 0.409
164 A 10 9 1.03 24 0.375
165 A 10 9 0.97 24 0.375
166 A 5 4 0.90 24 0.167
167 A 5 4 0.90 24 0.167
168 A 5 4 0.87 24 0.167
169 A 4 3 0.98 24 0.125
170 A 5 4 0.85 24 0.167
171 A 5 4 0.91 24 0.167
172 A 4 3 1.00 24 0.125
173 A 17 17 1.12 15 1.133
174 A 5 4 0.89 24 0.167
175 A 5 4 0.87 24 0.167
176 A 14 14 1.10 24 0.583
177 A 12 12 1.09 24 0.500
178 A 10 10 1.10 24 0.417
179 A 4 4 1.00 24 0.167
180 A 8 8 1.07 24 0.333
181 A 12 12 1.07 24 0.500
182 A 16 16 1.09 22 0.727
183 A 18 17 1.09 22 0.773
184 A 18 17 1.06 24 0.708
185 A 10 10 1.02 26 0.385
186 A 8 8 1.01 26 0.308
187 A 8 8 1.01 26 0.308
188 A 6 6 1.00 26 0.231
189 A 6 6 1.00 26 0.231
190 A 8 8 1.01 26 0.308
191 A 8 8 1.01 26 0.308
192 A 10 10 1.06 26 0.385
193 A 10 10 0.98 28 0.357
194 A 8 8 0.98 28 0.286
195 A 8 8 1.04 28 0.286
196 A 6 6 1.00 28 0.214
197 A 6 6 1.00 28 0.214
198 A 8 8 1.04 28 0.286
199 A 8 8 1.04 28 0.286
200 A 10 10 1.07 28 0.357
201 A 14 14 1.05 28 0.500
202 A 12 12 1.04 28 0.429
203 A 12 12 1.02 28 0.429
204 A 10 10 1.06 28 0.357
205 A 10 10 1.24 28 0.357
206 A 8 8 0.97 28 0.286
207 A 8 8 0.97 28 0.286
208 A 8 8 1.05 28 0.286
209 A 8 8 1.05 28 0.286
210 A 10 10 1.07 28 0.357
211 A 10 10 1.07 28 0.357
212 A 12 12 1.09 28 0.429
213 A 14 14 1.03 28 0.500
214 A 12 12 1.04 28 0.429
215 A 12 12 1.01 28 0.429
216 A 10 10 1.03 28 0.357
217 A 10 10 1.02 28 0.357
218 A 8 8 1.06 28 0.286
219 A 8 8 1.06 28 0.286
220 A 10 10 1.08 28 0.357
221 A 10 10 1.08 28 0.357
222 A 12 12 1.10 28 0.429
223 A 10 10 0.99 28 0.357
224 A 8 8 1.00 28 0.286
225 A 8 8 1.00 28 0.286
226 A 6 6 1.00 28 0.214
227 A 6 6 1.00 28 0.214
228 A 6 6 1.00 28 0.214
229 A 6 6 1.00 28 0.214
230 A 8 8 1.02 28 0.286
231 A 8 8 1.02 28 0.286
232 A 10 10 1.05 28 0.357
233 A 12 12 1.03 28 0.429
234 A 10 10 1.04 28 0.357
235 A 10 10 1.01 28 0.357
236 A 8 8 1.01 28 0.286
237 A 8 8 1.01 28 0.286
238 A 6 6 1.00 28 0.214
239 A 6 6 1.00 28 0.214
240 A 8 8 1.09 28 0.286
241 A 8 8 1.09 28 0.286
242 A 10 10 1.08 28 0.357
243 A 10 10 1.08 28 0.357
244 A 12 12 1.09 28 0.429
245 A 12 12 1.06 28 0.429
246 A 10 10 1.09 28 0.357
247 A 10 10 1.06 28 0.357
248 A 8 8 1.06 28 0.286
249 A 8 8 1.06 28 0.286
250 A 8 8 1.01 28 0.286
251 A 8 8 1.01 28 0.286
252 A 10 10 1.12 28 0.357
253 A 10 10 1.12 28 0.357
254 A 12 12 1.11 28 0.429
255 A 12 12 1.06 28 0.429
256 A 10 10 1.09 28 0.357
257 A 10 10 1.04 28 0.357
258 A 8 8 1.08 28 0.286
259 A 8 8 1.08 28 0.286
260 A 10 10 1.10 28 0.357
261 A 10 10 1.10 28 0.357
262 A 12 12 1.12 28 0.429
263 A 8 7 1.00 26 0.269
264 A 8 7 1.00 26 0.269
265 A 8 7 1.00 26 0.269
266 A 8 7 1.00 26 0.269
267 A 8 7 1.00 28 0.250
268 A 8 7 1.00 28 0.250
269 A 8 7 0.96 28 0.250
270 A 8 7 0.96 28 0.250
271 A 8 7 0.99 28 0.250
272 A 8 7 0.99 28 0.250
273 A 8 7 1.00 28 0.250
274 A 8 7 1.00 28 0.250
275 A 8 7 1.02 28 0.250
276 A 8 7 1.02 28 0.250
277 A 8 7 1.00 28 0.250
278 A 8 7 1.00 28 0.250
279 A 5 4 0.87 26 0.154
280 A 5 4 0.89 26 0.154
281 A 5 4 0.92 26 0.154
282 A 4 3 1.00 26 0.115
283 A 7 6 0.90 26 0.231
284 A 9 8 0.97 26 0.308
285 A 11 10 0.99 26 0.385
286 A 8 8 1.05 26 0.308
287 A 6 6 1.04 26 0.231
288 A 4 4 1.00 26 0.154
289 A 2 2 1.00 24 0.083
290 A 6 5 1.00 24 0.208
291 A 10 9 1.06 26 0.346
292 A 14 13 1.10 26 0.500
293 A 5 4 0.87 26 0.154
294 A 5 4 0.89 26 0.154
295 A 5 4 0.92 26 0.154
296 A 4 3 1.00 26 0.115
297 A 6 5 0.87 26 0.192
298 A 8 7 0.94 26 0.269
299 A 10 9 0.96 26 0.346
300 A 8 8 1.05 26 0.308
301 A 6 6 1.04 26 0.231
302 A 4 4 1.00 24 0.167
303 A 2 2 1.00 24 0.083
304 A 8 7 1.01 26 0.269
305 A 12 11 1.06 26 0.423
306 A 5 4 0.87 26 0.154
307 A 5 4 0.89 26 0.154
308 A 5 4 0.92 26 0.154
309 A 4 3 1.00 26 0.115
310 A 6 5 0.85 26 0.192
311 A 7 6 0.93 26 0.231
312 A 9 8 0.94 26 0.308
313 A 8 8 1.05 26 0.308
314 A 6 6 1.04 24 0.250
315 A 4 4 1.00 24 0.167
316 A 2 2 1.00 26 0.077
317 A 10 9 1.03 26 0.346
318 A 14 13 1.05 26 0.500
319 A 5 4 0.87 26 0.154
320 A 5 4 0.89 26 0.154
321 A 5 4 0.92 26 0.154
322 A 4 3 1.00 26 0.115
323 A 7 6 0.86 26 0.231
324 A 7 6 0.89 26 0.231
325 A 8 7 0.94 26 0.269
326 A 8 8 1.06 24 0.333
327 A 6 6 1.00 24 0.250
328 A 4 4 1.00 26 0.154
329 A 2 2 1.00 26 0.077
330 A 12 11 1.04 26 0.423
331 A 16 15 1.06 26 0.577
332 A 20 19 1.07 26 0.731
333 A 5 4 0.87 26 0.154
334 A 5 4 0.89 26 0.154
335 A 5 4 0.92 26 0.154
336 A 4 3 1.00 26 0.115
337 A 8 7 0.96 26 0.269
338 A 10 9 1.00 26 0.346
339 A 12 11 1.01 26 0.423
340 A 8 8 1.05 26 0.308
341 A 6 6 1.04 26 0.231
342 A 4 4 1.00 26 0.154
343 A 2 2 1.00 26 0.077
344 A 4 3 1.00 24 0.125
345 A 8 7 1.01 24 0.292
346 A 12 11 1.06 26 0.423
347 A 5 4 0.87 26 0.154
348 A 5 4 0.89 26 0.154
349 A 5 4 0.91 26 0.154
350 A 4 3 1.00 26 0.115
351 A 9 8 0.98 26 0.308
352 A 11 10 1.01 26 0.385
353 A 13 12 1.02 26 0.462
354 A 8 8 1.05 26 0.308
355 A 6 6 1.04 26 0.231
356 A 4 4 1.00 26 0.154
357 A 2 2 1.00 26 0.077
358 A 6 5 1.00 26 0.192
359 A 6 5 1.00 24 0.208
360 A 10 9 1.04 24 0.375
361 A 14 13 1.06 26 0.500
362 A 5 4 0.86 26 0.154
363 A 5 4 0.87 26 0.154
364 A 5 4 0.88 26 0.154
365 A 5 4 0.91 26 0.154
366 A 4 3 1.00 26 0.115
367 A 10 9 1.00 26 0.346
368 A 12 11 1.02 26 0.423
369 A 8 8 1.05 26 0.308
370 A 6 6 1.04 26 0.231
371 A 4 4 1.00 26 0.154
372 A 2 2 1.00 26 0.077
373 A 8 7 1.05 26 0.269
374 A 8 7 1.47 26 0.269
375 A 8 7 1.04 24 0.292
376 A 12 11 1.06 24 0.458
377 A 16 15 1.07 26 0.577
378 A 5 4 0.86 26 0.154
379 A 5 4 0.87 26 0.154
380 A 5 4 0.88 26 0.154
381 A 5 4 0.91 26 0.154
382 A 4 3 1.00 26 0.115
383 A 11 10 1.01 26 0.385
384 A 13 12 1.03 26 0.462
385 A 6 6 1.04 26 0.231
386 A 4 4 1.00 26 0.154
387 A 2 2 1.00 26 0.077
388 A 10 9 1.08 26 0.346
389 A 10 9 1.38 26 0.346
390 A 10 9 1.36 26 0.346
391 A 10 9 1.06 24 0.375
392 A 14 13 1.07 24 0.542
393 A 18 17 1.08 26 0.654
394 A 15 14 1.04 30 0.467
395 A 11 10 1.38 30 0.333
396 A 2 2 1.00 30 0.067
397 A 4 4 1.00 30 0.133
398 A 6 6 1.04 30 0.200
399 A 8 8 1.06 30 0.267
400 A 17 16 1.26 30 0.533
401 A 17 16 1.02 30 0.533
402 A 13 12 1.34 30 0.400
403 A 15 14 1.03 30 0.467
404 A 2 2 1.00 30 0.067
405 A 4 4 1.00 30 0.133
406 A 6 6 1.02 30 0.200
407 A 8 8 1.04 30 0.267
408 A 19 18 1.03 30 0.600
409 A 15 14 1.28 30 0.467
410 A 17 16 1.04 30 0.533
411 A 13 12 1.33 30 0.400
412 A 2 2 1.00 30 0.067
413 A 4 4 1.00 30 0.133
414 A 6 6 1.02 30 0.200
415 A 8 8 1.04 30 0.267
416 A 13 12 1.33 30 0.400
417 A 13 12 1.03 30 0.400
418 A 2 2 1.00 30 0.067
419 A 4 4 1.00 30 0.133
420 A 6 6 1.05 30 0.200
421 A 8 8 1.05 30 0.267
422 A 10 10 1.07 30 0.333
423 A 17 16 1.15 30 0.533
424 A 13 12 1.34 30 0.400
425 A 2 2 1.00 30 0.067
426 A 4 4 1.00 30 0.133
427 A 6 6 1.04 30 0.200
428 A 8 8 1.05 30 0.267
429 A 10 10 1.05 30 0.333
430 A 15 14 1.31 30 0.467
431 A 15 14 1.04 30 0.467
432 A 2 2 1.00 30 0.067
433 A 4 4 1.00 30 0.133
434 A 6 6 1.04 30 0.200
435 A 8 8 1.06 30 0.267
436 A 10 10 1.06 30 0.333
437 A 8 7 1.00 30 0.233
438 A 8 7 1.00 30 0.233
439 A 8 7 0.99 30 0.233
440 A 8 7 0.99 30 0.233
441 A 8 7 0.99 30 0.233
442 A 8 7 1.02 30 0.233
443 A 13 12 0.57 30 0.400
444 A 12 11 0.53 30 0.367
445 A 9 8 0.45 30 0.267
446 A 2 2 1.00 30 0.067
447 A 4 4 1.00 30 0.133
448 A 6 6 1.03 30 0.200
449 A 8 8 1.05 30 0.267
450 A 7 6 1.02 26 0.231
451 A 7 6 1.02 26 0.231
452 A 7 6 1.33 26 0.231
453 A 7 6 1.39 24 0.250
454 A 7 6 1.02 26 0.231
455 A 7 6 1.02 26 0.231
456 A 7 6 1.02 26 0.231
457 A 7 6 1.13 28 0.214
458 A 7 6 1.13 28 0.214
459 A 7 6 1.07 28 0.214
460 A 7 6 1.07 28 0.214
461 A 7 6 1.10 28 0.214
462 A 7 6 1.13 28 0.214
463 A 7 6 1.13 28 0.214
464 A 7 6 0.96 26 0.231
465 A 5 4 0.89 24 0.167
466 A 5 4 0.92 24 0.167
467 A 4 3 1.00 24 0.125
468 A 4 3 1.07 24 0.125
469 A 4 3 1.07 24 0.125
470 A 4 3 1.07 24 0.125
471 A 7 6 1.02 24 0.250
472 A 7 6 1.00 24 0.250
473 A 7 6 1.00 22 0.273
474 A 7 6 0.97 22 0.273
475 A 7 6 1.02 24 0.250
476 A 7 6 1.02 24 0.250
477 A 7 6 1.00 28 0.214
478 A 7 6 1.00 28 0.214
479 A 7 6 1.00 28 0.214
480 A 7 6 0.97 28 0.214
481 A 7 6 0.97 28 0.214
482 A 7 6 1.02 28 0.214
483 A 10 10 0.96 30 0.333
484 A 8 8 1.02 30 0.267
485 A 6 6 0.99 30 0.200
486 A 4 4 1.03 30 0.133
487 A 2 2 1.00 28 0.071
488 A 7 6 1.29 30 0.200
489 A 7 6 1.29 30 0.200
490 A 7 6 1.29 30 0.200
491 A 6 6 1.02 30 0.200
492 A 7 6 1.38 30 0.200
493 A 4 4 1.04 30 0.133
494 A 7 6 1.36 30 0.200
495 A 2 2 1.00 30 0.067
496 A 7 6 1.37 30 0.200
497 A 6 5 1.06 28 0.179
498 A 7 6 1.36 30 0.200
499 A 8 7 1.05 30 0.233
500 A 7 6 1.38 30 0.200
501 A 8 7 1.06 32 0.219
502 A 8 7 1.06 32 0.219
503 A 6 5 1.06 30 0.167
504 A 2 2 1.00 32 0.062
505 A 4 4 1.00 32 0.125
506 A 6 6 0.98 32 0.188
507 A 6 5 0.93 19 0.263
508 A 6 5 1.00 19 0.263
509 A 6 5 1.00 19 0.263
510 A 1 1 1.00 10 0.100
511 A 5 5 1.02 19 0.263
512 A 7 7 1.08 19 0.368
513 A 9 9 1.10 19 0.474
514 A 8 8 1.07 19 0.421
515 A 6 6 1.02 19 0.316
516 A 4 4 1.00 17 0.235
517 A 4 4 1.00 17 0.235
518 A 6 5 1.00 19 0.263
519 A 6 5 0.93 19 0.263
520 A 6 5 0.86 19 0.263
521 A 6 5 1.08 21 0.238
522 A 6 5 1.10 21 0.238
523 A 6 5 0.85 21 0.238
524 A 4 3 1.00 21 0.143
525 A 4 4 1.00 12 0.333
526 A 6 5 1.59 21 0.238
527 A 7 6 1.46 21 0.286
528 A 12 11 1.01 21 0.524
529 A 11 10 1.04 21 0.476
530 A 10 9 1.11 19 0.474
531 A 9 8 0.98 19 0.421
532 A 9 8 0.98 21 0.381
533 A 10 9 0.95 21 0.429
534 A 10 9 0.93 21 0.429
535 A 10 9 0.92 21 0.429
536 A 6 5 0.99 21 0.238
537 A 6 5 0.83 21 0.238
538 A 6 5 0.85 21 0.238
539 A 4 3 1.00 21 0.143
540 A 6 6 1.00 12 0.500
541 A 7 6 1.23 21 0.286
542 A 7 6 1.55 21 0.286
543 A 9 8 1.46 21 0.381
544 A 14 13 0.99 21 0.619
545 A 13 12 1.02 21 0.571
546 A 12 11 1.08 19 0.579
547 A 12 11 0.96 19 0.579
548 A 8 7 0.93 21 0.333
549 A 10 9 1.02 21 0.429
550 A 10 9 0.98 21 0.429
551 A 10 9 0.96 21 0.429
552 A 6 5 0.89 21 0.238
553 A 6 5 0.88 21 0.238
554 A 4 3 1.00 21 0.143
555 A 8 7 1.70 21 0.333
556 A 10 9 1.61 21 0.429
557 A 15 14 1.07 21 0.667
558 A 9 8 1.01 21 0.381
559 A 4 3 1.00 19 0.158
560 A 9 8 0.92 19 0.421
561 A 15 14 0.92 21 0.667
562 A 6 5 0.88 21 0.238
563 A 6 5 0.86 21 0.238
564 A 6 5 0.84 21 0.238
565 A 4 3 1.00 21 0.143
566 A 8 7 1.38 21 0.333
567 A 10 9 1.37 21 0.429
568 A 12 11 0.87 21 0.524
569 A 10 9 0.88 21 0.429
570 A 8 7 1.14 21 0.333
571 A 6 5 1.26 19 0.263
572 A 9 8 1.10 19 0.421
573 A 13 12 1.13 21 0.571
574 A 6 5 0.86 21 0.238
575 A 6 5 0.84 21 0.238
576 A 6 5 0.83 21 0.238
577 A 4 3 1.00 21 0.143
578 A 8 7 1.30 21 0.333
579 A 10 9 1.31 21 0.429
580 A 13 12 0.87 21 0.571
581 A 11 10 1.11 21 0.476
582 A 6 5 1.23 21 0.238
583 A 8 7 1.10 19 0.368
584 A 11 10 1.13 19 0.526
585 A 16 15 1.16 21 0.714
586 A 10 10 1.02 23 0.435
587 A 8 8 1.01 23 0.348
588 A 8 8 1.01 23 0.348
589 A 6 6 1.00 23 0.261
590 A 6 6 1.00 23 0.261
591 A 8 8 1.01 23 0.348
592 A 8 8 1.01 23 0.348
593 A 10 10 1.07 23 0.435
594 A 11 11 0.97 25 0.440
595 A 11 11 0.94 25 0.440
596 A 9 9 1.01 25 0.360
597 A 9 9 1.00 25 0.360
598 A 11 11 0.95 25 0.440
599 A 11 11 0.97 25 0.440
600 A 13 13 0.96 25 0.520
601 A 13 13 0.96 25 0.520
602 A 9 8 0.90 25 0.320
603 A 9 8 0.98 25 0.320
604 A 8 7 1.09 25 0.280
605 A 9 8 1.03 25 0.320
606 A 7 6 1.08 25 0.240
607 A 8 7 1.19 25 0.280
608 A 7 6 0.87 25 0.240
609 A 7 6 0.80 25 0.240
610 A 8 7 0.80 25 0.280
611 A 18 17 0.71 25 0.680
612 A 19 18 0.76 25 0.720
613 A 13 12 0.74 25 0.480
614 A 15 14 0.77 25 0.560
615 A 19 18 0.76 25 0.720
616 A 19 18 0.77 25 0.720
617 A 21 20 0.72 25 0.800
618 A 17 16 0.68 25 0.640
619 A 18 17 0.70 25 0.680
620 A 18 17 0.72 25 0.680
621 A 19 18 0.75 25 0.720
622 A 21 20 0.78 25 0.800
623 A 21 20 0.79 25 0.800
624 A 22 21 0.78 25 0.840
625 A 19 18 0.68 25 0.720
626 A 20 19 0.70 25 0.760
627 A 21 20 0.73 25 0.800
628 A 22 21 0.76 25 0.840
629 A 23 22 0.77 25 0.880
630 A 24 23 0.80 25 0.920
631 A 25 24 0.76 25 0.960
632 A 6 6 1.00 23 0.261
633 A 6 6 1.00 23 0.261
634 A 6 6 1.00 23 0.261
635 A 6 6 1.00 23 0.261
636 A 9 9 1.04 25 0.360
637 A 9 9 1.03 25 0.360
638 A 9 9 1.03 25 0.360
639 A 9 9 1.04 25 0.360
640 A 16 15 0.69 25 0.600
641 A 16 15 0.67 25 0.600
642 A 17 16 0.73 25 0.640
643 A 17 16 0.71 25 0.640
644 A 5 4 0.79 25 0.160
645 A 5 4 0.79 25 0.160
646 A 5 4 0.80 25 0.160
647 A 5 4 0.80 25 0.160
648 A 8 7 1.22 23 0.304
649 A 9 9 1.00 23 0.391
650 A 6 6 1.00 21 0.286
651 A 7 6 1.13 23 0.261
652 A 5 4 0.96 23 0.174
653 A 4 3 1.02 23 0.130
654 A 6 5 0.86 21 0.238
655 A 6 5 0.88 21 0.238
656 A 4 3 1.00 21 0.143
657 A 5 4 0.98 12 0.333
658 A 8 7 1.08 21 0.333
659 A 10 9 1.11 21 0.429
660 A 5 4 1.16 21 0.190
661 A 5 4 1.16 19 0.211
662 A 5 4 1.15 19 0.211
663 A 5 4 1.15 21 0.190
664 A 12 12 1.27 26 0.462
665 A 10 10 1.36 26 0.385
666 A 10 10 1.36 26 0.385
667 A 8 8 1.42 26 0.308
668 A 8 8 1.42 26 0.308
669 A 10 10 1.30 26 0.385
670 A 10 10 1.25 26 0.385
671 A 12 12 1.15 26 0.462
672 A 14 14 1.17 28 0.500
673 A 12 12 1.21 28 0.429
674 A 12 12 1.21 28 0.429
675 A 10 10 1.26 28 0.357
676 A 10 10 1.26 28 0.357
677 A 8 8 1.25 28 0.286
678 A 8 8 1.25 28 0.286
679 A 10 10 1.16 28 0.357
680 A 10 10 1.15 28 0.357
681 A 12 12 1.09 28 0.429
682 A 10 10 1.11 30 0.333
683 A 8 8 1.15 30 0.267
684 A 6 6 1.25 30 0.200
685 A 4 4 1.00 30 0.133
686 A 11 10 1.43 30 0.333
687 A 17 16 0.93 30 0.533
688 A 17 16 1.10 30 0.533
689 A 21 20 0.94 30 0.667
690 A 10 10 1.13 30 0.333
691 A 8 8 1.21 30 0.267
692 A 6 6 1.31 30 0.200
693 A 4 4 1.00 30 0.133
694 A 13 12 1.07 30 0.400
695 A 15 14 1.11 30 0.467
696 A 19 18 0.92 30 0.600
697 A 9 8 0.96 26 0.308
698 A 9 8 1.00 26 0.308
699 A 9 8 1.00 24 0.333
700 A 9 8 1.00 26 0.308
701 A 9 8 1.00 26 0.308
702 A 9 8 1.11 28 0.286
703 A 9 8 1.10 28 0.286
704 A 10 9 1.24 23 0.391
705 A 11 11 1.13 23 0.478
706 A 8 8 1.26 21 0.381
707 A 9 8 1.12 23 0.348
708 A 7 6 0.95 23 0.261
709 A 6 5 1.00 23 0.217

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