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 [157] had the largest ratio of [35]

# 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 8 6 1.00 23 0.261
2 A 7 7 1.00 23 0.304
3 A 6 6 1.00 23 0.261
4 A 4 3 1.00 21 0.143
5 A 4 4 1.00 20 0.200
6 A 8 8 1.00 23 0.348
7 A 5 6 1.00 23 0.261
8 A 9 9 1.00 23 0.391
9 A 5 6 1.00 23 0.261
10 A 7 7 1.28 25 0.280
11 A 9 10 1.42 25 0.400
12 A 6 6 1.26 25 0.240
13 A 5 3 1.00 23 0.130
14 A 6 6 1.24 22 0.273
15 A 12 8 1.00 25 0.320
16 A 8 8 1.35 25 0.320
17 A 13 11 1.00 25 0.440
18 A 8 9 1.31 25 0.360
19 A 6 6 1.27 25 0.240
20 A 11 10 1.43 25 0.400
21 A 6 6 1.26 25 0.240
22 A 6 3 1.00 23 0.130
23 A 6 6 1.24 22 0.273
24 A 17 8 1.00 25 0.320
25 A 8 8 1.33 25 0.320
26 A 18 11 1.00 25 0.440
27 A 9 9 1.29 25 0.360
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 9 7 1.00 25 0.280
35 A 9 7 1.00 25 0.280
36 A 14 9 1.00 25 0.360
37 A 12 9 1.00 25 0.360
38 A 10 10 1.00 25 0.400
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 13 10 1.00 25 0.400
45 A 20 13 1.00 25 0.520
46 A 13 10 1.00 25 0.400
47 A 7 7 1.00 25 0.280
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 17 11 1.00 25 0.440
53 A 17 11 1.00 25 0.440
54 A 26 13 1.00 25 0.520
55 A 6 4 1.00 18 0.222
56 A 8 6 1.00 18 0.333
57 A 10 6 1.00 18 0.333
58 A 7 4 1.00 27 0.148
59 A 5 4 1.00 27 0.148
60 A 3 3 1.00 24 0.125
61 A 3 3 1.00 27 0.111
62 A 4 3 1.00 27 0.111
63 A 4 5 1.00 27 0.185
64 A 4 5 1.00 27 0.185
65 A 3 4 1.00 27 0.148
66 A 3 4 1.00 27 0.148
67 A 3 2 1.00 25 0.080
68 A 8 6 1.00 27 0.222
69 A 8 6 1.00 27 0.222
70 A 10 7 1.00 27 0.259
71 A 11 7 1.00 27 0.259
72 A 9 7 1.00 27 0.259
73 A 7 6 1.00 24 0.250
74 A 7 6 1.00 27 0.222
75 A 7 6 1.00 27 0.222
76 A 5 4 1.00 27 0.148
77 A 5 6 1.00 27 0.222
78 A 5 6 1.00 27 0.222
79 A 5 6 1.00 27 0.222
80 A 4 5 1.00 27 0.185
81 A 4 5 1.00 27 0.185
82 A 4 5 1.00 27 0.185
83 A 4 3 1.00 25 0.120
84 A 11 8 1.00 27 0.296
85 A 12 9 1.00 27 0.333
86 A 12 9 1.00 27 0.333
87 A 16 9 1.00 27 0.333
88 A 14 9 1.00 27 0.333
89 A 10 7 1.00 24 0.292
90 A 12 9 1.00 27 0.333
91 A 12 8 1.00 27 0.296
92 A 12 8 1.00 27 0.296
93 A 5 4 1.00 27 0.148
94 A 6 7 1.00 27 0.259
95 A 5 6 1.00 27 0.222
96 A 4 5 1.00 27 0.185
97 A 4 5 1.00 27 0.185
98 A 4 5 1.00 27 0.185
99 A 4 3 1.00 25 0.120
100 A 15 9 1.00 27 0.333
101 A 15 11 1.00 27 0.407
102 A 16 10 1.00 27 0.370
103 A 3 3 1.00 14 0.214
104 A 6 4 1.00 27 0.148
105 A 5 3 1.00 27 0.111
106 A 4 4 1.00 27 0.148
107 A 3 3 1.00 27 0.111
108 A 2 2 1.00 25 0.080
109 A 1 1 1.00 24 0.042
110 A 6 4 1.00 27 0.148
111 A 2 2 1.00 27 0.074
112 A 8 6 1.00 27 0.222
113 A 4 4 1.00 27 0.148
114 A 5 6 1.00 27 0.222
115 A 7 6 1.00 27 0.222
116 A 4 6 1.00 27 0.222
117 A 4 4 1.00 27 0.148
118 A 3 3 1.00 25 0.120
119 A 2 2 1.00 24 0.083
120 A 9 7 1.00 27 0.259
121 A 5 6 1.00 27 0.222
122 A 13 9 1.00 27 0.333
123 A 5 6 1.00 27 0.222
124 A 5 7 1.00 27 0.259
125 A 9 6 1.05 27 0.222
126 A 4 6 1.08 27 0.222
127 A 5 4 1.09 27 0.148
128 A 4 4 1.09 25 0.160
129 A 5 5 1.07 24 0.208
130 A 13 9 1.00 27 0.333
131 A 5 7 1.00 27 0.259
132 A 18 13 1.00 27 0.482
133 A 5 7 1.00 27 0.259
134 A 8 5 1.00 20 0.250
135 A 5 3 1.00 22 0.136
136 A 4 4 1.00 22 0.182
137 A 3 3 1.00 22 0.136
138 A 2 2 1.00 20 0.100
139 A 1 1 1.00 19 0.053
140 A 6 4 1.00 22 0.182
141 A 2 2 1.00 22 0.091
142 A 8 6 1.00 22 0.273
143 A 1 1 1.00 30 0.033
144 A 1 1 1.00 31 0.032
145 A 8 9 1.00 27 0.333
146 A 7 8 1.00 27 0.296
147 A 6 7 1.00 25 0.280
148 A 0 0 0.00 0 0.000
149 A 0 0 0.00 0 0.000
150 A 0 0 0.00 0 0.000
151 A 11 7 1.00 29 0.241
152 A 7 6 1.00 29 0.207
153 A 3 3 1.00 29 0.103
154 A 1 1 1.00 29 0.034
155 A 4 4 1.00 29 0.138
156 A 7 4 1.00 29 0.138
157 A 11 7 1.00 35 0.200
158 A 7 6 1.00 35 0.171
159 A 3 3 1.00 35 0.086
160 A 1 1 1.00 35 0.029
161 A 4 4 1.00 35 0.114
162 A 7 4 1.00 35 0.114
163 A 1 1 1.00 24 0.042
164 A 17 6 1.00 20 0.300
165 A 12 6 1.00 20 0.300
166 A 7 5 1.00 18 0.278
167 A 8 5 1.00 20 0.250
168 A 12 9 1.00 20 0.450
169 A 17 11 1.00 20 0.550
170 A 16 8 1.00 29 0.276
171 A 11 8 1.00 29 0.276
172 A 6 6 1.00 27 0.222
173 A 5 5 1.00 26 0.192
174 A 12 8 1.00 29 0.276
175 A 7 7 1.00 29 0.241
176 A 12 9 1.00 29 0.310
177 A 11 11 1.00 29 0.379
178 A 26 13 1.00 29 0.448
179 A 20 13 1.00 29 0.448
180 A 8 8 1.00 27 0.296
181 A 11 9 1.00 26 0.346
182 A 18 13 1.00 29 0.448
183 A 15 14 1.00 29 0.483
184 A 18 15 1.00 29 0.517
185 A 18 13 1.00 29 0.448
186 A 35 18 1.00 29 0.621
187 A 31 21 1.00 29 0.724
188 A 8 8 1.00 27 0.296
189 A 18 9 1.00 26 0.346
190 A 26 17 1.00 29 0.586
191 A 25 16 1.00 29 0.552
192 A 28 22 1.00 29 0.759
193 A 30 17 1.00 29 0.586
194 A 16 7 1.00 29 0.241
195 A 11 7 1.00 29 0.241
196 A 9 7 1.00 29 0.241
197 A 5 5 1.00 29 0.172
198 A 4 3 1.00 27 0.111
199 A 1 1 1.00 26 0.038
200 A 8 5 1.00 29 0.172
201 A 6 6 1.00 29 0.207
202 A 12 9 1.00 29 0.310
203 A 9 9 1.00 29 0.310
204 A 23 13 1.00 29 0.448
205 A 15 12 1.00 29 0.414
206 A 14 10 1.00 29 0.345
207 A 8 8 1.00 29 0.276
208 A 8 6 1.00 27 0.222
209 A 6 6 1.00 26 0.231
210 A 16 11 1.00 29 0.379
211 A 15 11 1.00 29 0.379
212 A 27 15 1.00 29 0.517
213 A 26 12 1.00 29 0.414
214 A 28 12 1.00 29 0.414
215 A 20 12 1.00 29 0.414
216 A 18 9 1.00 29 0.310
217 A 12 12 1.00 29 0.414
218 A 10 8 1.00 27 0.296
219 A 10 10 1.00 26 0.385
220 A 26 13 1.00 29 0.448
221 A 21 15 1.00 29 0.517
222 A 41 19 1.00 29 0.655
223 A 36 17 1.00 29 0.586
224 A 15 11 1.00 22 0.500
225 A 11 7 1.00 24 0.292
226 A 8 7 1.00 24 0.292
227 A 5 5 1.00 24 0.208
228 A 3 3 1.00 22 0.136
229 A 1 1 1.00 21 0.048
230 A 8 5 1.00 24 0.208
231 A 6 6 1.00 24 0.250
232 A 12 9 1.00 24 0.375
233 A 0 0 0.00 0 0.000
234 A 0 0 0.00 0 0.000
235 A 0 0 0.00 0 0.000
236 A 0 0 0.00 0 0.000
237 A 0 0 0.00 0 0.000
238 A 0 0 0.00 0 0.000
239 A 0 0 0.00 0 0.000
240 A 29 15 1.00 20 0.750
241 A 20 12 1.00 20 0.600
242 A 11 8 1.00 18 0.444
243 A 10 6 1.00 20 0.300
244 A 19 11 1.00 20 0.550
245 A 30 12 1.00 20 0.600
246 A 29 13 1.00 22 0.591
247 A 16 12 1.00 22 0.546
248 A 6 5 1.00 22 0.227
249 A 1 1 1.00 22 0.045
250 A 7 7 1.00 22 0.318
251 A 12 12 1.00 22 0.546
252 A 20 15 1.00 22 0.682
253 A 13 6 1.00 24 0.250
254 A 10 8 1.00 24 0.333
255 A 6 6 1.00 24 0.250
256 A 4 4 1.00 22 0.182
257 A 1 1 1.00 21 0.048
258 A 10 6 1.00 24 0.250
259 A 7 7 1.00 24 0.292
260 A 18 11 1.00 24 0.458
261 A 0 0 0.00 0 0.000
262 A 7 3 1.00 20 0.150
263 A 6 3 1.00 20 0.150
264 A 5 3 1.00 18 0.167
265 A 0 0 0.00 0 0.000
266 A 0 0 0.00 0 0.000
267 A 12 5 1.00 28 0.179
268 A 12 5 1.00 28 0.179
269 A 6 5 1.00 28 0.179
270 A 9 5 1.00 26 0.192
271 A 6 5 1.00 25 0.200
272 A 0 0 0.00 0 0.000
273 A 0 0 0.00 0 0.000
274 A 0 0 0.00 0 0.000
275 A 0 0 0.00 0 0.000
276 A 15 5 1.00 28 0.179
277 A 12 5 1.00 28 0.179
278 A 12 5 1.00 26 0.192
279 A 9 5 1.00 25 0.200
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 15 5 1.00 28 0.179
285 A 15 5 1.00 28 0.179
286 A 15 5 1.00 26 0.192
287 A 12 5 1.00 25 0.200
288 A 0 0 0.00 0 0.000
289 A 0 0 0.00 0 0.000
290 A 0 0 0.00 0 0.000
291 A 0 0 0.00 0 0.000
292 A 5 3 1.00 24 0.125
293 A 5 3 1.00 24 0.125
294 A 4 3 1.00 24 0.125
295 A 2 2 1.00 22 0.091
296 A 1 1 1.00 21 0.048
297 A 0 0 0.00 0 0.000
298 A 0 0 0.00 0 0.000
299 A 9 5 1.00 28 0.179
300 A 6 5 1.00 28 0.179
301 A 4 4 1.00 26 0.154
302 A 1 1 1.00 25 0.040
303 A 0 0 0.00 0 0.000
304 A 0 0 0.00 0 0.000
305 A 0 0 0.00 0 0.000
306 A 0 0 0.00 0 0.000
307 A 0 0 0.00 0 0.000
308 A 0 0 0.00 0 0.000
309 A 0 0 0.00 0 0.000
310 A 0 0 0.00 0 0.000
311 A 0 0 0.00 0 0.000
312 A 0 0 0.00 0 0.000
313 A 0 0 0.00 0 0.000
314 A 0 0 0.00 0 0.000
315 A 8 4 1.00 20 0.200
316 A 7 4 1.00 20 0.200
317 A 6 4 1.00 18 0.222
318 A 0 0 0.00 0 0.000
319 A 0 0 0.00 0 0.000
320 A 22 6 1.00 28 0.214
321 A 16 7 1.00 28 0.250
322 A 14 7 1.00 26 0.269
323 A 7 7 1.00 25 0.280
324 A 0 0 0.00 0 0.000
325 A 0 0 0.00 0 0.000
326 A 0 0 0.00 0 0.000
327 A 0 0 0.00 0 0.000
328 A 21 7 1.00 28 0.250
329 A 24 10 1.00 26 0.385
330 A 11 7 1.00 25 0.280
331 A 0 0 0.00 0 0.000
332 A 0 0 0.00 0 0.000
333 A 0 0 0.00 0 0.000
334 A 0 0 0.00 0 0.000
335 A 30 7 1.00 28 0.250
336 A 30 10 1.00 26 0.385
337 A 14 7 1.00 25 0.280
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 0 0 0.00 0 0.000
342 A 13 6 1.00 28 0.214
343 A 10 6 1.00 28 0.214
344 A 10 6 1.00 28 0.214
345 A 7 7 1.00 28 0.250
346 A 5 5 1.00 26 0.192
347 A 1 1 1.00 25 0.040
348 A 0 0 0.00 0 0.000
349 A 0 0 0.00 0 0.000
350 A 0 0 0.00 0 0.000
351 A 0 0 0.00 0 0.000
352 A 0 0 0.00 0 0.000
353 A 0 0 0.00 0 0.000
354 A 0 0 0.00 0 0.000
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 1 1 1.00 21 0.048
369 A 27 7 1.00 27 0.259
370 A 32 7 1.00 27 0.259
371 A 17 9 1.00 25 0.360
372 A 14 7 1.00 24 0.292
373 A 0 0 0.00 0 0.000
374 A 32 7 1.00 29 0.241
375 A 42 7 1.00 29 0.241
376 A 32 9 1.00 27 0.333
377 A 19 7 1.00 26 0.269
378 A 0 0 0.00 0 0.000
379 A 25 12 1.00 24 0.500
380 A 10 9 1.00 24 0.375
381 A 1 1 1.00 24 0.042
382 A 0 0 0.00 0 0.000
383 A 0 0 0.00 0 0.000
384 A 27 13 1.00 24 0.542
385 A 11 9 1.00 24 0.375
386 A 1 1 1.00 24 0.042
387 A 0 0 0.00 0 0.000
388 A 41 17 1.00 24 0.708
389 A 13 11 1.00 24 0.458
390 A 1 1 1.00 24 0.042
391 A 0 0 0.00 0 0.000
392 A 25 12 1.00 24 0.500
393 A 10 9 1.00 24 0.375
394 A 1 1 1.00 24 0.042
395 A 0 0 0.00 0 0.000
396 A 0 0 0.00 0 0.000
397 A 27 13 1.00 24 0.542
398 A 11 9 1.00 24 0.375
399 A 1 1 1.00 24 0.042
400 A 0 0 0.00 0 0.000
401 A 6 5 1.00 19 0.263
402 A 18 6 1.00 24 0.250
403 A 13 6 1.00 24 0.250
404 A 8 6 1.00 24 0.250
405 A 1 1 1.00 24 0.042
406 A 0 0 0.00 0 0.000
407 A 0 0 0.00 0 0.000
408 A 20 8 1.00 24 0.333
409 A 15 8 1.00 24 0.333
410 A 9 8 1.00 24 0.333
411 A 1 1 1.00 24 0.042
412 A 0 0 0.00 0 0.000
413 A 0 0 0.00 0 0.000
414 A 19 11 1.00 24 0.458
415 A 7 6 1.00 24 0.250
416 A 1 1 1.00 24 0.042
417 A 0 0 0.00 0 0.000
418 A 0 0 0.00 0 0.000
419 A 6 4 1.00 29 0.138
420 A 9 4 1.00 27 0.148
421 A 6 4 1.00 26 0.154
422 A 0 0 0.00 0 0.000
423 A 0 0 0.00 0 0.000
424 A 12 4 1.00 29 0.138
425 A 12 4 1.00 27 0.148
426 A 9 4 1.00 26 0.154
427 A 0 0 0.00 0 0.000
428 A 0 0 0.00 0 0.000
429 A 15 4 1.00 29 0.138
430 A 15 4 1.00 27 0.148
431 A 12 4 1.00 26 0.154
432 A 0 0 0.00 0 0.000
433 A 0 0 0.00 0 0.000
434 A 9 4 1.00 28 0.143
435 A 6 4 1.00 28 0.143
436 A 4 3 1.00 26 0.115
437 A 1 1 1.00 25 0.040
438 A 0 0 0.00 0 0.000
439 A 0 0 0.00 0 0.000
440 A 9 4 1.00 29 0.138
441 A 6 4 1.00 29 0.138
442 A 4 3 1.00 27 0.111
443 A 1 1 1.00 26 0.038
444 A 0 0 0.00 0 0.000
445 A 0 0 0.00 0 0.000
446 A 0 0 0.00 0 0.000
447 A 0 0 0.00 0 0.000
448 A 0 0 0.00 0 0.000
449 A 0 0 0.00 0 0.000
450 A 0 0 0.00 0 0.000
451 A 0 0 0.00 0 0.000
452 A 0 0 0.00 0 0.000
453 A 0 0 0.00 0 0.000
454 A 0 0 0.00 0 0.000
455 A 0 0 0.00 0 0.000
456 A 0 0 0.00 0 0.000
457 A 0 0 0.00 0 0.000
458 A 0 0 0.00 0 0.000
459 A 0 0 0.00 0 0.000
460 A 0 0 0.00 0 0.000
461 A 7 5 1.00 19 0.263
462 A 6 6 1.00 19 0.316
463 A 5 5 1.00 19 0.263
464 A 4 4 1.00 17 0.235
465 A 3 3 1.00 16 0.188
466 A 13 13 1.00 19 0.684
467 A 4 4 1.00 19 0.210
468 A 11 11 1.00 19 0.579
469 A 4 4 1.00 19 0.210
470 A 7 7 1.00 21 0.333
471 A 9 10 1.00 21 0.476
472 A 6 6 1.00 21 0.286
473 A 7 7 1.00 19 0.368
474 A 6 6 1.00 18 0.333
475 A 16 15 1.08 21 0.714
476 A 7 7 1.16 21 0.333
477 A 14 15 1.00 21 0.714
478 A 7 8 1.00 21 0.381
479 A 6 6 1.00 21 0.286
480 A 10 9 1.00 21 0.429
481 A 6 6 1.00 21 0.286
482 A 8 7 1.00 19 0.368
483 A 6 6 1.00 18 0.333
484 A 23 15 1.00 21 0.714
485 A 7 7 1.00 21 0.333
486 A 18 19 1.00 21 0.905
487 A 9 9 1.00 21 0.429
488 A 6 6 1.00 18 0.333
489 A 27 12 1.00 21 0.571
490 A 23 9 1.00 21 0.429
491 A 23 9 1.00 21 0.429
492 A 18 6 1.00 19 0.316
493 A 18 6 1.00 18 0.333
494 A 25 8 1.00 21 0.381
495 A 23 10 1.00 21 0.476
496 A 27 10 1.00 21 0.476
497 A 28 12 1.00 21 0.571
498 A 24 10 1.00 21 0.476
499 A 4 4 1.00 19 0.210
500 A 29 12 1.00 21 0.571
501 A 31 14 1.00 21 0.667
502 A 49 12 1.00 21 0.571
503 A 46 10 1.00 21 0.476
504 A 26 9 1.00 18 0.500
505 A 49 13 1.00 21 0.619
506 A 29 11 1.00 21 0.524
507 A 9 10 1.04 21 0.476
508 A 5 5 1.00 19 0.263
509 A 34 13 1.00 21 0.619
510 A 36 15 1.00 21 0.714
511 A 80 11 1.00 21 0.524
512 A 62 11 1.00 21 0.524
513 A 34 10 1.00 18 0.556
514 A 0 0 0.00 0 0.000
515 A 0 0 0.00 0 0.000
516 A 7 8 1.00 20 0.400
517 A 8 10 1.04 20 0.500
518 A 9 11 1.00 20 0.550
519 A 8 9 0.95 23 0.391
520 A 7 8 0.94 23 0.348
521 A 5 5 0.94 21 0.238
522 A 0 0 0.00 0 0.000
523 A 0 0 0.00 0 0.000
524 A 0 0 0.00 0 0.000
525 A 26 7 1.00 20 0.350
526 A 17 7 1.00 20 0.350
527 A 10 7 1.00 18 0.389
528 A 3 3 1.00 10 0.300
529 A 22 7 1.00 20 0.350
530 A 0 0 0.00 0 0.000
531 A 0 0 0.00 0 0.000
532 A 0 0 0.00 0 0.000
533 A 0 0 0.00 0 0.000
534 A 27 7 1.00 20 0.350
535 A 15 7 1.29 18 0.389
536 A 4 4 1.00 10 0.400
537 A 0 0 0.00 0 0.000
538 A 0 0 0.00 0 0.000
539 A 0 0 0.00 0 0.000
540 A 0 0 0.00 0 0.000
541 A 0 0 0.00 0 0.000
542 A 0 0 0.00 0 0.000
543 A 26 7 1.00 20 0.350
544 A 15 7 1.00 18 0.389
545 A 5 5 1.00 10 0.500
546 A 0 0 0.00 0 0.000
547 A 0 0 0.00 0 0.000
548 A 0 0 0.00 0 0.000
549 A 0 0 0.00 0 0.000
550 A 0 0 0.00 0 0.000
551 A 0 0 0.00 0 0.000
552 A 42 9 1.00 22 0.409
553 A 23 9 1.00 20 0.450
554 A 7 6 1.00 12 0.500
555 A 0 0 0.00 0 0.000
556 A 0 0 0.00 0 0.000
557 A 32 12 1.00 20 0.600
558 A 8 7 1.00 12 0.583
559 A 0 0 0.00 0 0.000
560 A 0 0 0.00 0 0.000
561 A 39 8 1.00 22 0.364
562 A 21 8 1.00 20 0.400
563 A 6 5 1.00 12 0.417
564 A 0 0 0.00 0 0.000
565 A 0 0 0.00 0 0.000
566 A 21 8 1.00 20 0.400
567 A 7 6 1.00 12 0.500
568 A 0 0 0.00 0 0.000
569 A 0 0 0.00 0 0.000