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2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. 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 given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [441] had the largest ratio of [38]

# 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 5 5 1.00 23 0.217
2 A 6 6 1.00 23 0.261
3 A 5 5 1.00 23 0.217
4 A 4 3 1.00 21 0.143
5 A 5 4 1.00 20 0.200
6 A 8 8 1.00 23 0.348
7 A 6 7 1.00 23 0.304
8 A 8 8 1.00 23 0.348
9 A 6 7 1.00 23 0.304
10 A 6 6 1.00 25 0.240
11 A 7 8 1.00 25 0.320
12 A 5 5 1.00 25 0.200
13 A 5 3 1.00 23 0.130
14 A 5 5 1.00 22 0.227
15 A 12 8 1.00 25 0.320
16 A 7 7 1.00 25 0.280
17 A 12 10 1.00 25 0.400
18 A 7 8 1.00 25 0.320
19 A 5 5 1.00 25 0.200
20 A 8 7 1.00 25 0.280
21 A 5 5 1.00 25 0.200
22 A 6 3 1.00 23 0.130
23 A 5 5 1.00 22 0.227
24 A 17 8 1.00 25 0.320
25 A 7 7 1.00 25 0.280
26 A 17 10 1.00 25 0.400
27 A 8 8 1.00 25 0.320
28 A 12 8 1.00 25 0.320
29 A 8 8 1.00 25 0.320
30 A 8 6 1.00 25 0.240
31 A 5 5 1.00 23 0.217
32 A 6 4 1.00 22 0.182
33 A 7 5 1.00 25 0.200
34 A 10 8 1.00 25 0.320
35 A 9 7 1.00 25 0.280
36 A 15 9 1.00 25 0.360
37 A 12 9 1.00 25 0.360
38 A 8 8 1.00 25 0.320
39 A 8 6 1.00 25 0.240
40 A 2 2 1.00 23 0.087
41 A 8 6 1.00 22 0.273
42 A 9 7 1.00 25 0.280
43 A 13 11 1.00 25 0.440
44 A 12 9 1.00 25 0.360
45 A 19 12 1.00 25 0.480
46 A 12 8 1.00 25 0.320
47 A 4 3 1.00 25 0.120
48 A 10 7 1.00 25 0.280
49 A 3 3 1.00 23 0.130
50 A 10 6 1.00 22 0.273
51 A 12 8 1.00 25 0.320
52 A 16 11 1.00 25 0.440
53 A 16 10 1.00 25 0.400
54 A 23 12 1.00 25 0.480
55 A 7 4 1.00 27 0.148
56 A 5 4 1.00 27 0.148
57 A 3 3 1.00 24 0.125
58 A 3 3 1.00 27 0.111
59 A 3 2 1.00 27 0.074
60 A 4 5 1.00 27 0.185
61 A 4 5 1.00 27 0.185
62 A 3 4 1.00 27 0.148
63 A 3 4 1.00 27 0.148
64 A 2 1 1.00 25 0.040
65 A 8 6 1.00 27 0.222
66 A 8 6 1.00 27 0.222
67 A 10 7 1.00 27 0.259
68 A 10 6 1.00 27 0.222
69 A 8 6 1.00 27 0.222
70 A 6 5 1.00 24 0.208
71 A 6 5 1.00 27 0.185
72 A 6 5 1.00 27 0.185
73 A 4 3 1.00 27 0.111
74 A 5 6 1.00 27 0.222
75 A 5 6 1.00 27 0.222
76 A 5 6 1.00 27 0.222
77 A 4 5 1.00 27 0.185
78 A 4 5 1.00 27 0.185
79 A 4 5 1.00 27 0.185
80 A 3 2 1.00 25 0.080
81 A 10 7 1.00 27 0.259
82 A 11 8 1.00 27 0.296
83 A 11 8 1.00 27 0.296
84 A 14 8 1.00 27 0.296
85 A 12 8 1.00 27 0.296
86 A 8 6 1.00 24 0.250
87 A 10 8 1.00 27 0.296
88 A 10 7 1.00 27 0.259
89 A 10 7 1.00 27 0.259
90 A 4 3 1.00 27 0.111
91 A 6 7 1.00 27 0.259
92 A 5 6 1.00 27 0.222
93 A 4 5 1.00 27 0.185
94 A 4 5 1.00 27 0.185
95 A 3 2 1.00 25 0.080
96 A 13 8 1.00 27 0.296
97 A 13 9 1.00 27 0.333
98 A 14 9 1.00 27 0.333
99 A 3 3 1.00 14 0.214
100 A 3 3 1.00 24 0.125
101 A 5 3 1.00 22 0.136
102 A 4 4 1.00 22 0.182
103 A 3 3 1.00 22 0.136
104 A 2 2 1.00 20 0.100
105 A 1 1 1.00 19 0.053
106 A 6 4 1.00 22 0.182
107 A 2 2 1.00 22 0.091
108 A 8 6 1.00 22 0.273
109 A 6 4 1.00 27 0.148
110 A 5 3 1.00 27 0.111
111 A 4 4 1.00 27 0.148
112 A 3 3 1.00 27 0.111
113 A 2 2 1.00 25 0.080
114 A 1 1 1.00 24 0.042
115 A 6 4 1.00 27 0.148
116 A 2 2 1.00 27 0.074
117 A 8 6 1.00 27 0.222
118 A 4 4 1.00 27 0.148
119 A 5 6 1.00 27 0.222
120 A 7 6 1.00 27 0.222
121 A 4 6 1.00 27 0.222
122 A 3 3 1.00 27 0.111
123 A 2 2 1.00 25 0.080
124 A 2 2 1.00 24 0.083
125 A 8 6 1.00 27 0.222
126 A 5 6 1.00 27 0.222
127 A 11 8 1.00 27 0.296
128 A 5 6 1.00 27 0.222
129 A 11 6 1.00 27 0.222
130 A 5 7 1.00 27 0.259
131 A 7 5 1.00 27 0.185
132 A 4 6 1.00 27 0.222
133 A 4 3 1.00 27 0.111
134 A 3 3 1.00 25 0.120
135 A 4 4 1.00 24 0.167
136 A 11 7 1.00 27 0.259
137 A 5 7 1.00 27 0.259
138 A 15 10 1.00 27 0.370
139 A 5 7 1.00 27 0.259
140 A 6 4 1.00 20 0.200
141 A 1 1 1.00 30 0.033
142 A 1 1 1.00 31 0.032
143 A 6 7 1.00 25 0.280
144 A 5 6 1.00 25 0.240
145 A 4 5 1.00 23 0.217
146 A 0 0 0.00 0 0.000
147 A 0 0 0.00 0 0.000
148 A 0 0 0.00 0 0.000
149 A 9 6 1.00 27 0.222
150 A 6 5 1.00 27 0.185
151 A 3 3 1.00 27 0.111
152 A 1 1 1.00 27 0.037
153 A 3 3 1.00 27 0.111
154 A 5 3 1.00 27 0.111
155 A 1 1 1.00 22 0.045
156 A 11 10 1.00 25 0.400
157 A 14 6 1.00 25 0.240
158 A 9 10 1.00 25 0.400
159 A 7 6 1.00 23 0.261
160 A 6 4 1.00 22 0.182
161 A 10 10 1.00 25 0.400
162 A 12 9 1.00 25 0.360
163 A 10 10 1.00 25 0.400
164 A 16 8 1.00 25 0.320
165 A 16 11 1.00 27 0.407
166 A 25 7 1.00 27 0.259
167 A 14 11 1.00 27 0.407
168 A 9 7 1.00 25 0.280
169 A 10 5 1.00 24 0.208
170 A 17 12 1.00 27 0.444
171 A 17 11 1.00 27 0.407
172 A 17 12 1.00 27 0.444
173 A 24 10 1.00 27 0.370
174 A 21 11 1.00 27 0.407
175 A 40 9 1.00 27 0.333
176 A 19 11 1.00 27 0.407
177 A 11 7 1.00 25 0.280
178 A 14 5 1.00 24 0.208
179 A 26 13 1.00 27 0.482
180 A 24 12 1.00 27 0.444
181 A 28 15 1.00 27 0.556
182 A 31 12 1.00 27 0.444
183 A 16 9 1.00 27 0.333
184 A 10 9 1.00 27 0.333
185 A 11 8 1.00 27 0.296
186 A 6 6 1.00 25 0.240
187 A 8 5 1.00 24 0.208
188 A 9 6 1.00 27 0.222
189 A 15 10 1.00 27 0.370
190 A 12 9 1.00 27 0.333
191 A 24 11 1.00 27 0.407
192 A 15 14 1.00 27 0.518
193 A 10 9 1.00 27 0.333
194 A 11 8 1.00 27 0.296
195 A 3 3 1.00 25 0.120
196 A 11 8 1.00 24 0.333
197 A 12 9 1.00 27 0.333
198 A 20 14 1.00 27 0.518
199 A 17 15 1.00 27 0.556
200 A 32 15 1.00 27 0.556
201 A 16 13 1.00 27 0.482
202 A 8 6 1.00 27 0.222
203 A 15 10 1.00 27 0.370
204 A 5 5 1.00 25 0.200
205 A 15 9 1.00 24 0.375
206 A 17 11 1.00 27 0.407
207 A 27 15 1.00 27 0.556
208 A 23 19 1.00 27 0.704
209 A 43 17 1.00 27 0.630
210 A 14 8 1.00 29 0.276
211 A 10 6 1.00 29 0.207
212 A 5 4 1.00 27 0.148
213 A 5 5 1.00 26 0.192
214 A 12 8 1.00 29 0.276
215 A 7 7 1.00 29 0.241
216 A 13 10 1.00 29 0.345
217 A 9 9 1.00 29 0.310
218 A 20 14 1.00 29 0.483
219 A 17 11 1.00 29 0.379
220 A 6 6 1.00 27 0.222
221 A 10 8 1.01 26 0.308
222 A 17 12 1.00 29 0.414
223 A 14 13 1.00 29 0.448
224 A 18 15 1.00 29 0.517
225 A 16 11 1.00 29 0.379
226 A 27 18 1.00 29 0.621
227 A 25 14 1.00 29 0.483
228 A 6 6 1.00 27 0.222
229 A 16 8 1.00 26 0.308
230 A 23 16 1.00 29 0.552
231 A 23 15 1.00 29 0.517
232 A 25 20 1.00 29 0.690
233 A 27 15 1.00 29 0.517
234 A 14 7 1.00 29 0.241
235 A 10 5 1.00 29 0.172
236 A 9 7 1.00 29 0.241
237 A 5 5 1.03 29 0.172
238 A 4 3 1.00 27 0.111
239 A 1 1 1.00 26 0.038
240 A 8 5 1.00 29 0.172
241 A 6 6 1.00 29 0.207
242 A 13 10 1.00 29 0.345
243 A 9 9 1.00 29 0.310
244 A 22 12 1.00 29 0.414
245 A 14 11 1.00 29 0.379
246 A 13 9 1.00 29 0.310
247 A 7 7 1.00 29 0.241
248 A 7 5 1.00 27 0.185
249 A 6 6 1.00 26 0.231
250 A 15 10 1.00 29 0.345
251 A 14 10 1.00 29 0.345
252 A 26 14 1.00 29 0.483
253 A 24 11 1.00 29 0.379
254 A 26 11 1.00 29 0.379
255 A 16 9 1.00 29 0.310
256 A 16 7 1.00 29 0.241
257 A 9 9 1.00 29 0.310
258 A 9 7 1.00 27 0.259
259 A 9 9 1.00 26 0.346
260 A 24 12 1.00 29 0.414
261 A 19 14 1.00 29 0.483
262 A 38 17 1.00 29 0.586
263 A 32 15 1.00 29 0.517
264 A 10 5 1.00 24 0.208
265 A 8 7 1.00 24 0.292
266 A 5 5 1.00 24 0.208
267 A 3 3 1.00 22 0.136
268 A 1 1 1.00 21 0.048
269 A 8 5 1.00 24 0.208
270 A 6 6 1.00 24 0.250
271 A 13 10 1.00 24 0.417
272 A 1 1 1.00 22 0.045
273 A 6 6 1.00 22 0.273
274 A 9 9 1.00 22 0.409
275 A 13 10 1.00 22 0.454
276 A 23 7 1.00 27 0.259
277 A 13 6 1.00 27 0.222
278 A 6 5 1.00 25 0.200
279 A 0 0 0.00 0 0.000
280 A 0 0 0.00 0 0.000
281 A 0 0 0.00 0 0.000
282 A 0 0 0.00 0 0.000
283 A 0 0 0.00 0 0.000
284 A 0 0 0.00 0 0.000
285 A 0 0 0.00 0 0.000
286 A 0 0 0.00 0 0.000
287 A 0 0 0.00 0 0.000
288 A 0 0 0.00 0 0.000
289 A 24 13 1.00 20 0.650
290 A 17 11 1.00 20 0.550
291 A 10 7 1.00 18 0.389
292 A 10 6 1.00 20 0.300
293 A 18 10 1.00 20 0.500
294 A 28 11 1.00 20 0.550
295 A 24 9 1.00 22 0.409
296 A 14 8 1.00 22 0.364
297 A 6 5 1.00 22 0.227
298 A 1 1 1.00 22 0.045
299 A 7 7 1.00 22 0.318
300 A 11 10 1.00 22 0.454
301 A 17 11 1.00 22 0.500
302 A 0 0 0.00 0 0.000
303 A 13 4 1.00 24 0.167
304 A 10 6 1.00 24 0.250
305 A 6 4 1.00 24 0.167
306 A 4 3 1.00 22 0.136
307 A 1 1 1.00 21 0.048
308 A 10 6 1.00 24 0.250
309 A 7 7 1.00 24 0.292
310 A 18 10 1.00 24 0.417
311 A 7 3 1.00 20 0.150
312 A 6 3 1.00 20 0.150
313 A 5 3 1.00 18 0.167
314 A 0 0 0.00 0 0.000
315 A 0 0 0.00 0 0.000
316 A 12 5 1.00 28 0.179
317 A 12 5 1.00 28 0.179
318 A 6 5 1.00 28 0.179
319 A 9 5 1.00 26 0.192
320 A 6 5 1.00 25 0.200
321 A 0 0 0.00 0 0.000
322 A 0 0 0.00 0 0.000
323 A 0 0 0.00 0 0.000
324 A 0 0 0.00 0 0.000
325 A 15 5 1.00 28 0.179
326 A 12 5 1.00 28 0.179
327 A 12 5 1.00 26 0.192
328 A 9 5 1.00 25 0.200
329 A 0 0 0.00 0 0.000
330 A 0 0 0.00 0 0.000
331 A 0 0 0.00 0 0.000
332 A 0 0 0.00 0 0.000
333 A 15 5 1.00 28 0.179
334 A 15 5 1.00 28 0.179
335 A 15 5 1.00 26 0.192
336 A 12 5 1.00 25 0.200
337 A 0 0 0.00 0 0.000
338 A 0 0 0.00 0 0.000
339 A 0 0 0.00 0 0.000
340 A 0 0 0.00 0 0.000
341 A 5 3 1.00 24 0.125
342 A 5 3 1.00 24 0.125
343 A 4 3 1.00 24 0.125
344 A 4 3 1.00 24 0.125
345 A 2 2 1.00 22 0.091
346 A 1 1 1.00 21 0.048
347 A 0 0 0.00 0 0.000
348 A 0 0 0.00 0 0.000
349 A 12 5 1.00 28 0.179
350 A 9 5 1.00 28 0.179
351 A 9 5 1.00 28 0.179
352 A 6 5 1.00 28 0.179
353 A 4 4 1.00 26 0.154
354 A 1 1 1.00 25 0.040
355 A 0 0 0.00 0 0.000
356 A 0 0 0.00 0 0.000
357 A 0 0 0.00 0 0.000
358 A 0 0 0.00 0 0.000
359 A 0 0 0.00 0 0.000
360 A 0 0 0.00 0 0.000
361 A 0 0 0.00 0 0.000
362 A 0 0 0.00 0 0.000
363 A 0 0 0.00 0 0.000
364 A 0 0 0.00 0 0.000
365 A 0 0 0.00 0 0.000
366 A 0 0 0.00 0 0.000
367 A 0 0 0.00 0 0.000
368 A 0 0 0.00 0 0.000
369 A 0 0 0.00 0 0.000
370 A 0 0 0.00 0 0.000
371 A 0 0 0.00 0 0.000
372 A 0 0 0.00 0 0.000
373 A 0 0 0.00 0 0.000
374 A 8 4 1.00 20 0.200
375 A 7 4 1.00 20 0.200
376 A 6 4 1.00 18 0.222
377 A 0 0 0.00 0 0.000
378 A 0 0 0.00 0 0.000
379 A 2 1 1.00 33 0.030
380 A 0 0 0.00 0 0.000
381 A 22 6 1.00 28 0.214
382 A 16 7 1.00 28 0.250
383 A 14 7 1.00 26 0.269
384 A 7 7 1.00 25 0.280
385 A 0 0 0.00 0 0.000
386 A 0 0 0.00 0 0.000
387 A 0 0 0.00 0 0.000
388 A 0 0 0.00 0 0.000
389 A 0 0 0.00 0 0.000
390 A 28 6 1.00 28 0.214
391 A 19 6 1.00 28 0.214
392 A 22 8 1.00 26 0.308
393 A 10 6 1.00 25 0.240
394 A 0 0 0.00 0 0.000
395 A 0 0 0.00 0 0.000
396 A 0 0 0.00 0 0.000
397 A 0 0 0.00 0 0.000
398 A 0 0 0.00 0 0.000
399 A 34 6 1.00 28 0.214
400 A 28 6 1.00 28 0.214
401 A 28 8 1.00 26 0.308
402 A 13 6 1.00 25 0.240
403 A 0 0 0.00 0 0.000
404 A 0 0 0.00 0 0.000
405 A 0 0 0.00 0 0.000
406 A 0 0 0.00 0 0.000
407 A 0 0 0.00 0 0.000
408 A 13 6 1.00 28 0.214
409 A 10 6 1.00 28 0.214
410 A 10 6 1.00 28 0.214
411 A 7 7 1.00 28 0.250
412 A 5 5 1.00 26 0.192
413 A 1 1 1.00 25 0.040
414 A 0 0 0.00 0 0.000
415 A 0 0 0.00 0 0.000
416 A 0 0 0.00 0 0.000
417 A 0 0 0.00 0 0.000
418 A 0 0 0.00 0 0.000
419 A 0 0 0.00 0 0.000
420 A 0 0 0.00 0 0.000
421 A 0 0 0.00 0 0.000
422 A 0 0 0.00 0 0.000
423 A 0 0 0.00 0 0.000
424 A 0 0 0.00 0 0.000
425 A 0 0 0.00 0 0.000
426 A 0 0 0.00 0 0.000
427 A 0 0 0.00 0 0.000
428 A 0 0 0.00 0 0.000
429 A 0 0 0.00 0 0.000
430 A 1 1 1.00 21 0.048
431 A 27 8 1.00 27 0.296
432 A 32 8 1.00 27 0.296
433 A 17 10 1.00 25 0.400
434 A 14 8 1.00 24 0.333
435 A 0 0 0.00 0 0.000
436 A 32 8 1.00 29 0.276
437 A 42 8 1.00 29 0.276
438 A 32 10 1.00 27 0.370
439 A 19 8 1.00 26 0.308
440 A 0 0 0.00 0 0.000
441 A 3 2 1.00 38 0.053
442 A 15 9 1.00 24 0.375
443 A 7 7 1.00 24 0.292
444 A 1 1 1.00 24 0.042
445 A 0 0 0.00 0 0.000
446 A 0 0 0.00 0 0.000
447 A 17 10 1.00 24 0.417
448 A 8 7 1.00 24 0.292
449 A 1 1 1.00 24 0.042
450 A 0 0 0.00 0 0.000
451 A 27 12 1.00 24 0.500
452 A 10 9 1.00 24 0.375
453 A 1 1 1.00 24 0.042
454 A 0 0 0.00 0 0.000
455 A 15 9 1.00 24 0.375
456 A 7 7 1.00 24 0.292
457 A 1 1 1.00 24 0.042
458 A 0 0 0.00 0 0.000
459 A 0 0 0.00 0 0.000
460 A 17 10 1.00 24 0.417
461 A 8 7 1.00 24 0.292
462 A 1 1 1.00 24 0.042
463 A 0 0 0.00 0 0.000
464 A 3 3 1.00 19 0.158
465 A 9 4 1.00 24 0.167
466 A 7 4 1.00 24 0.167
467 A 5 4 1.00 24 0.167
468 A 1 1 1.00 24 0.042
469 A 0 0 0.00 0 0.000
470 A 0 0 0.00 0 0.000
471 A 10 5 1.00 24 0.208
472 A 8 5 1.00 24 0.208
473 A 6 6 1.00 24 0.250
474 A 1 1 1.00 24 0.042
475 A 0 0 0.00 0 0.000
476 A 0 0 0.00 0 0.000
477 A 12 8 1.00 24 0.333
478 A 4 4 1.00 24 0.167
479 A 1 1 1.00 24 0.042
480 A 0 0 0.00 0 0.000
481 A 0 0 0.00 0 0.000
482 A 6 4 1.00 29 0.138
483 A 9 4 1.00 27 0.148
484 A 6 4 1.00 26 0.154
485 A 0 0 0.00 0 0.000
486 A 0 0 0.00 0 0.000
487 A 12 4 1.00 29 0.138
488 A 12 4 1.00 27 0.148
489 A 9 4 1.00 26 0.154
490 A 0 0 0.00 0 0.000
491 A 0 0 0.00 0 0.000
492 A 15 4 1.00 29 0.138
493 A 15 4 1.00 27 0.148
494 A 12 4 1.00 26 0.154
495 A 0 0 0.00 0 0.000
496 A 0 0 0.00 0 0.000
497 A 0 0 0.00 0 0.000
498 A 9 4 1.00 24 0.167
499 A 6 4 1.00 24 0.167
500 A 4 3 1.00 22 0.136
501 A 1 1 1.00 21 0.048
502 A 0 0 0.00 0 0.000
503 A 0 0 0.00 0 0.000
504 A 13 8 1.00 30 0.267
505 A 8 6 1.00 30 0.200
506 A 4 4 1.00 30 0.133
507 A 6 5 1.00 30 0.167
508 A 8 8 1.00 30 0.267
509 A 6 6 1.00 30 0.200
510 A 12 9 1.00 30 0.300
511 A 7 6 1.00 30 0.200
512 A 8 6 1.00 30 0.200
513 A 9 7 1.00 30 0.233
514 A 10 10 1.00 30 0.333
515 A 9 9 1.00 30 0.300
516 A 9 7 1.00 30 0.233
517 A 12 9 1.00 30 0.300
518 A 13 8 1.00 30 0.267
519 A 13 7 1.00 30 0.233
520 A 7 9 1.00 30 0.300
521 A 10 8 1.00 30 0.267
522 A 13 7 1.00 30 0.233
523 A 9 7 1.00 30 0.233
524 A 6 5 1.00 30 0.167
525 A 2 2 1.00 30 0.067
526 A 5 6 1.00 30 0.200
527 A 8 8 1.00 30 0.267
528 A 7 9 1.00 30 0.300
529 A 10 10 1.00 30 0.333
530 A 8 8 1.00 30 0.267
531 A 5 6 1.00 30 0.200
532 A 3 3 1.00 30 0.100
533 A 8 8 1.00 30 0.267
534 A 10 8 1.00 30 0.267
535 A 9 9 1.00 30 0.300
536 A 6 6 1.00 30 0.200
537 A 8 8 1.00 30 0.267
538 A 8 8 1.00 30 0.267
539 A 5 5 1.00 30 0.167
540 A 23 13 1.00 32 0.406
541 A 13 11 1.00 32 0.344
542 A 6 6 1.00 32 0.188
543 A 8 6 1.00 32 0.188
544 A 19 13 1.00 32 0.406
545 A 20 12 1.00 32 0.375
546 A 19 15 1.00 32 0.469
547 A 11 9 1.00 32 0.281
548 A 13 11 1.00 32 0.344
549 A 11 9 1.00 32 0.281
550 A 23 15 1.00 32 0.469
551 A 21 13 1.00 32 0.406
552 A 17 9 1.00 32 0.281
553 A 19 15 1.00 32 0.469
554 A 23 13 1.00 32 0.406
555 A 17 10 1.00 32 0.312
556 A 28 19 1.00 32 0.594
557 A 25 16 1.00 32 0.500
558 A 17 10 1.00 32 0.312
559 A 11 9 1.00 32 0.281
560 A 8 6 1.00 32 0.188
561 A 2 2 1.00 32 0.062
562 A 16 11 1.00 32 0.344
563 A 30 18 1.00 32 0.562
564 A 28 19 1.00 32 0.594
565 A 23 15 1.00 32 0.469
566 A 19 13 1.00 32 0.406
567 A 16 11 1.00 32 0.344
568 A 7 7 1.00 32 0.219
569 A 21 14 1.00 32 0.438
570 A 25 16 1.00 32 0.500
571 A 21 13 1.00 32 0.406
572 A 20 12 1.00 32 0.375
573 A 30 18 1.00 32 0.562
574 A 21 14 1.00 32 0.438
575 A 10 10 1.00 32 0.312
576 A 11 7 1.00 35 0.200
577 A 6 5 1.00 33 0.152
578 A 6 6 1.00 32 0.188
579 A 13 9 1.00 35 0.257
580 A 8 8 1.00 35 0.229
581 A 18 12 1.00 35 0.343
582 A 7 7 1.00 33 0.212
583 A 11 9 1.00 32 0.281
584 A 18 13 1.00 35 0.371
585 A 15 14 1.00 35 0.400
586 A 6 6 1.00 35 0.171
587 A 5 4 1.00 33 0.121
588 A 2 2 1.00 32 0.062
589 A 9 6 1.00 35 0.171
590 A 7 7 1.00 35 0.200
591 A 8 8 1.00 35 0.229
592 A 8 6 1.00 33 0.182
593 A 7 7 1.00 32 0.219
594 A 16 11 1.00 35 0.314
595 A 15 11 1.00 35 0.314
596 A 5 5 1.00 19 0.263
597 A 6 6 1.00 19 0.316
598 A 5 5 1.00 19 0.263
599 A 4 4 1.00 17 0.235
600 A 4 3 1.00 16 0.188
601 A 12 12 1.00 19 0.632
602 A 5 6 1.00 19 0.316
603 A 10 10 1.00 19 0.526
604 A 6 7 1.00 19 0.368
605 A 6 6 1.00 21 0.286
606 A 7 8 1.00 21 0.381
607 A 5 5 1.00 21 0.238
608 A 5 5 1.00 19 0.263
609 A 5 5 1.00 18 0.278
610 A 14 12 1.00 21 0.571
611 A 6 6 1.00 21 0.286
612 A 13 14 1.00 21 0.667
613 A 6 7 1.00 21 0.333
614 A 5 5 1.00 21 0.238
615 A 8 7 1.00 21 0.333
616 A 5 5 1.00 21 0.238
617 A 6 5 1.00 19 0.263
618 A 5 5 1.00 18 0.278
619 A 19 13 1.00 21 0.619
620 A 6 6 1.00 21 0.286
621 A 15 16 1.00 21 0.762
622 A 8 8 1.00 21 0.381
623 A 5 5 1.00 18 0.278
624 A 27 12 1.00 21 0.571
625 A 23 9 1.00 21 0.429
626 A 23 9 1.00 21 0.429
627 A 18 6 1.00 19 0.316
628 A 18 6 1.00 18 0.333
629 A 25 8 1.00 21 0.381
630 A 24 11 1.00 21 0.524
631 A 27 10 1.00 21 0.476
632 A 29 12 1.00 21 0.571
633 A 23 9 1.00 21 0.429
634 A 3 3 0.97 19 0.158
635 A 28 11 1.00 21 0.524
636 A 30 13 1.00 21 0.619
637 A 49 12 1.00 21 0.571
638 A 46 10 1.00 21 0.476
639 A 26 9 1.00 18 0.500
640 A 50 14 1.00 21 0.667
641 A 27 10 1.00 21 0.476
642 A 7 8 1.00 21 0.381
643 A 4 4 1.00 19 0.210
644 A 32 12 1.00 21 0.571
645 A 34 14 1.00 21 0.667
646 A 80 11 1.00 21 0.524
647 A 62 11 1.00 21 0.524
648 A 34 10 1.00 18 0.556
649 A 0 0 0.00 0 0.000
650 A 0 0 0.00 0 0.000
651 A 6 7 1.00 20 0.350
652 A 7 9 1.00 20 0.450
653 A 8 10 1.00 20 0.500
654 A 6 7 0.94 23 0.304
655 A 5 6 0.93 23 0.261
656 A 4 5 0.92 21 0.238
657 A 0 0 0.00 0 0.000
658 A 0 0 0.00 0 0.000
659 A 26 7 1.00 20 0.350
660 A 17 7 1.00 20 0.350
661 A 10 7 1.00 18 0.389
662 A 3 3 1.00 10 0.300
663 A 22 7 1.00 20 0.350
664 A 0 0 0.00 0 0.000
665 A 0 0 0.00 0 0.000
666 A 0 0 0.00 0 0.000
667 A 0 0 0.00 0 0.000
668 A 27 7 1.00 20 0.350
669 A 15 7 1.00 18 0.389
670 A 4 4 1.00 10 0.400
671 A 0 0 0.00 0 0.000
672 A 0 0 0.00 0 0.000
673 A 0 0 0.00 0 0.000
674 A 0 0 0.00 0 0.000
675 A 0 0 0.00 0 0.000
676 A 0 0 0.00 0 0.000
677 A 26 7 1.00 20 0.350
678 A 15 7 1.00 18 0.389
679 A 5 5 1.00 10 0.500
680 A 0 0 0.00 0 0.000
681 A 0 0 0.00 0 0.000
682 A 0 0 0.00 0 0.000
683 A 0 0 0.00 0 0.000
684 A 0 0 0.00 0 0.000
685 A 0 0 0.00 0 0.000
686 A 42 10 1.00 22 0.454
687 A 23 10 1.00 20 0.500
688 A 7 7 1.00 12 0.583
689 A 0 0 0.00 0 0.000
690 A 0 0 0.00 0 0.000
691 A 32 13 1.00 20 0.650
692 A 8 8 1.00 12 0.667
693 A 0 0 0.00 0 0.000
694 A 0 0 0.00 0 0.000
695 A 39 9 1.00 22 0.409
696 A 21 9 1.00 20 0.450
697 A 6 6 1.00 12 0.500
698 A 0 0 0.00 0 0.000
699 A 0 0 0.00 0 0.000
700 A 21 9 1.00 20 0.450
701 A 7 7 1.00 12 0.583
702 A 0 0 0.00 0 0.000
703 A 0 0 0.00 0 0.000

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