0
float64
0
0.01
1
float64
0
0
2
float64
0
0.85
3
float64
0
0.12
4
float64
0
0.3
5
float64
0
0.34
6
float64
0
0.04
7
float64
0
0.01
8
float64
0
0.08
9
float64
0
0
10
float64
0
0
11
float64
0
0
12
float64
0
0.1
13
float64
0
0.15
14
float64
0
0
15
float64
0
0
16
float64
0
0.48
17
float64
0
0
18
float64
0
0.24
19
float64
0
0.43
20
float64
0
0.02
21
float64
0
0
22
float64
0
0.02
23
float64
0
0.02
24
float64
0
0
25
float64
0
0.42
26
float64
0
0.54
27
float64
0
0.33
28
float64
0
0.03
29
float64
0
0
30
float64
0
0
31
float64
0
0.08
32
float64
0
0
33
float64
0
0.17
34
float64
0
0
35
float64
0
0
36
float64
0
0
37
float64
0
0
38
float64
0
0
39
float64
0
0.06
40
float64
0
0
41
float64
0
0.28
42
float64
0
0.02
43
float64
0
0
44
float64
0
0
45
float64
0
0.11
46
float64
0
0.01
47
float64
0
0.03
48
float64
0
0.27
49
float64
0
0
50
float64
0
0.67
51
float64
0
0.28
52
float64
0
0.7
53
float64
0
0.51
54
float64
0
0.42
55
float64
0
0
56
float64
0
0
57
float64
0
0
58
float64
0
0
59
float64
0
0
60
float64
0
0
61
float64
0
0
62
float64
0
0
63
float64
0
0
64
float64
0
0.06
65
float64
0
0.61
66
float64
0
0
67
float64
0
0.4
68
float64
0
0
69
float64
0
0.2
70
float64
0
0
71
float64
0
0
72
float64
0
0
73
float64
0
0.1
74
float64
0
0
75
float64
0
0.39
76
float64
0
0.08
77
float64
0
0
78
float64
0
0.03
79
float64
0
0.05
80
float64
0
0
81
float64
0
0.25
82
float64
0
0.4
83
float64
0
0.61
84
float64
0
0.01
85
float64
0
0.45
86
float64
0
0.35
87
float64
0
0
88
float64
0
0.4
89
float64
0
0.01
90
float64
0
0
91
float64
0
0
92
float64
0
0
93
float64
0
0
94
float64
0
0
95
float64
0
0.01
96
float64
0
0
97
float64
0
0.34
98
float64
0
0
99
float64
0
0
100
float64
0
0.22
101
float64
0
0.28
102
float64
0
0
103
float64
0
0.75
104
float64
0
0.51
105
float64
0
0
106
float64
0
0
107
float64
0
0.39
108
float64
0
0
109
float64
0
0.5
110
float64
0
0.23
111
float64
0
0.03
112
float64
0
0.3
113
float64
0
0.32
114
float64
0
0.62
115
float64
0
0.52
116
float64
0
0.36
117
float64
0
1.07
118
float64
0
0.53
119
float64
0
0.06
120
float64
0
0.15
121
float64
0
0
122
float64
0
0
123
float64
0
0.26
124
float64
0
0.66
125
float64
0
0
126
float64
0
0
127
float64
0
0
128
float64
0
0
129
float64
0
0
130
float64
0
0.48
131
float64
0
0.42
132
float64
0
0.27
133
float64
0
0.12
134
float64
0
0.31
135
float64
0
0.37
136
float64
0
0
137
float64
0
0.4
138
float64
0
0.25
139
float64
0
0.02
140
float64
0
0
141
float64
0
0.08
142
float64
0
0.1
143
float64
0
0.05
144
float64
0
0
145
float64
0
0.33
146
float64
0
0.03
147
float64
0
0.16
148
float64
0
0
149
float64
0
0
150
float64
0
0.76
151
float64
0
0.53
152
float64
0
0.25
153
float64
0
0.56
154
float64
0
0.15
155
float64
0
0
156
float64
0
0
157
float64
0
0.13
158
float64
0
0
159
float64
0
0
160
float64
0
0.16
161
float64
0
0
162
float64
0
0
163
float64
0
0
164
float64
0
0.53
165
float64
0
0.18
166
float64
0
0.28
167
float64
0
0.65
168
float64
0
0
169
float64
0
0.29
170
float64
0
0.16
171
float64
0
0.57
172
float64
0
0.41
173
float64
0
0.05
174
float64
0
0.48
175
float64
0
0.31
176
float64
0
0
177
float64
0
0
178
float64
0
0.18
179
float64
0
0
180
float64
0
0.89
181
float64
0
0.42
182
float64
0
0
183
float64
0
0.15
184
float64
0
0.48
185
float64
0
0.35
186
float64
0
0
187
float64
0
0.33
188
float64
0
0.25
189
float64
0
0
190
float64
0
0.04
191
float64
0
0.46
192
float64
0
0
193
float64
0
0.33
194
float64
0
0
195
float64
0
0.56
196
float64
0
0
197
float64
0
0
198
float64
0
0.24
199
float64
0
0
200
float64
0
0.07
201
float64
0
0.29
202
float64
0
0
203
float64
0
0
204
float64
0
0.06
205
float64
0
0
206
float64
0
0.38
207
float64
0
0
208
float64
0
0.39
209
float64
0
0.14
210
float64
0
0
211
float64
0
0.04
212
float64
0
0
213
float64
0
0.57
214
float64
0
0
215
float64
0
0
216
float64
0
0.19
217
float64
0
0
218
float64
0
0.32
219
float64
0
0.36
220
float64
0
0.79
221
float64
0
0.39
222
float64
0
0.14
223
float64
0
0.04
224
float64
0
0.18
225
float64
0
0.26
226
float64
0
0
227
float64
0
0
228
float64
0
0
229
float64
0
0.89
230
float64
0
0.29
231
float64
0
0
232
float64
0
0
233
float64
0
0
234
float64
0
0.04
235
float64
0
0.18
236
float64
0
0
237
float64
0
0.32
238
float64
0
0
239
float64
0
0
240
float64
0
0.23
241
float64
0
0
242
float64
0
0.42
243
float64
0
0
244
float64
0
0.2
245
float64
0
0
246
float64
0
0
247
float64
0
0
248
float64
0
0.11
249
float64
0
0.9
250
float64
0
0.28
251
float64
0
0.3
252
float64
0
0
253
float64
0
0.01
254
float64
0
0
255
float64
0
0.58
256
float64
0
0.48
257
float64
0
0.45
258
float64
0
0.62
259
float64
0
0
260
float64
0
0.33
261
float64
0
0.1
262
float64
0
0.28
263
float64
0
0.55
264
float64
0
0.64
265
float64
0
0
266
float64
0
0
267
float64
0
0
268
float64
0
0.32
269
float64
0
0
270
float64
0
0.36
271
float64
0
0.37
272
float64
0
0
273
float64
0
0.18
274
float64
0
0.22
275
float64
0
0
276
float64
0
0.49
277
float64
0
0.76
278
float64
0
0.23
279
float64
0
0.62
280
float64
0
0
281
float64
0
0.06
282
float64
0
0
283
float64
0
0
284
float64
0
0.16
285
float64
0
0.32
286
float64
0
0.1
287
float64
0
0
288
float64
0
0
289
float64
0
0.15
290
float64
0
0.23
291
float64
0
0.17
292
float64
0
0.37
293
float64
0
0.26
294
float64
0
0
295
float64
0
0.05
296
float64
0
0
297
float64
0
0
298
float64
0
0.09
299
float64
0
0.55
300
float64
0
0.18
301
float64
0
0.04
302
float64
0
0
303
float64
0
0
304
float64
0
0
305
float64
0
0.08
306
float64
0
0.15
307
float64
0
0
308
float64
0
0
309
float64
0
0.23
310
float64
0
0.8
311
float64
0
0.49
312
float64
0
0
313
float64
0
0.7
314
float64
0
0.87
315
float64
0
0
316
float64
0
0
317
float64
0
0.04
318
float64
0
0.51
319
float64
0
0.04
320
float64
0
0
321
float64
0
0.19
322
float64
0
0
323
float64
0
0.56
324
float64
0
0.43
325
float64
0
0.36
326
float64
0
0.58
327
float64
0
0
328
float64
0
0.16
329
float64
0
0.31
330
float64
0
0.19
331
float64
0
0.1
332
float64
0
0.52
333
float64
0
0.51
334
float64
0
0.32
335
float64
0
0
336
float64
0
0
337
float64
0
0.32
338
float64
0
0
339
float64
0
0
340
float64
0
0.46
341
float64
0
0.22
342
float64
0
0.38
343
float64
0
0
344
float64
0
0.14
345
float64
0
0
346
float64
0
0.43
347
float64
0
0.48
348
float64
0
0.32
349
float64
0
0.08
350
float64
0
0
351
float64
0
0
352
float64
0
0
353
float64
0
0.29
354
float64
0
0.51
355
float64
0
0
356
float64
0
0
357
float64
0
0
358
float64
0
0
359
float64
0
0.09
360
float64
0
0.41
361
float64
0
0.43
362
float64
0
0.28
363
float64
0
0
364
float64
0
0
365
float64
0
0.19
366
float64
0
0
367
float64
0
0.11
368
float64
0
0.22
369
float64
0
0
370
float64
0
0.1
371
float64
0
0.03
372
float64
0
0
373
float64
0
0.04
374
float64
0
0
375
float64
0
0.08
376
float64
0
0.15
377
float64
0
0.25
378
float64
0
0
379
float64
0
0
380
float64
0
0
381
float64
0
0.03
382
float64
0
0
383
float64
0
0.11
384
float64
0
0.03
385
float64
0
0
386
float64
0
0
387
float64
0
0
388
float64
0
0.81
389
float64
0
0.06
390
float64
0
0.17
391
float64
0
0.41
392
float64
0
0
393
float64
0
0
394
float64
0
0.06
395
float64
0
0
396
float64
0
0.17
397
float64
0
0.01
398
float64
0
0.22
399
float64
0
0
400
float64
0
0
401
float64
0
0
402
float64
0
0.15
403
float64
0
0
404
float64
0
0.04
405
float64
0
0
406
float64
0
0.04
407
float64
0
0
408
float64
0
0.04
409
float64
0
0.04
410
float64
0
0.04
411
float64
0
0.22
412
float64
0
0.04
413
float64
0
0.32
414
float64
0
0.43
415
float64
0
0
416
float64
0
0.43
417
float64
0
0.58
418
float64
0
0.3
419
float64
0
1.03
420
float64
0
0
421
float64
0
0
422
float64
0
0
423
float64
0
0.41
424
float64
0
0.42
425
float64
0
0.36
426
float64
0
0.04
427
float64
0
0
428
float64
0
0.28
429
float64
0
0.45
430
float64
0
0.64
431
float64
0
0
432
float64
0
0.34
433
float64
0
0.13
434
float64
0
0
435
float64
0
0
436
float64
0
0.11
437
float64
0
0.27
438
float64
0
0.13
439
float64
0
0.39
440
float64
0
0
441
float64
0
0
442
float64
0
0
443
float64
0
0.24
444
float64
0
0
445
float64
0
0.85
446
float64
0
0.4
447
float64
0
0.24
448
float64
0
0
449
float64
0
0
450
float64
0
0
451
float64
0
0.08
452
float64
0
0.4
453
float64
0
0
454
float64
0
0.24
455
float64
0
0
456
float64
0
0.58
457
float64
0
0.12
458
float64
0
0.39
459
float64
0
0
460
float64
0
0.16
461
float64
0
0.3
462
float64
0
0.02
463
float64
0
0
464
float64
0
0
465
float64
0
0.04
466
float64
0
0
467
float64
0
0.08
468
float64
0
0.25
469
float64
0
0
470
float64
0
0
471
float64
0
0.07
472
float64
0
0.28
473
float64
0
0.02
474
float64
0
0.51
475
float64
0
0
476
float64
0
0
477
float64
0
0
478
float64
0
0.22
479
float64
0
0
480
float64
0
0.16
481
float64
0
0.33
482
float64
0
0.14
483
float64
0
0
484
float64
0
0
485
float64
0
0.53
486
float64
0
0.39
487
float64
0
0.2
488
float64
0
0.34
489
float64
0
0.49
490
float64
0
0
491
float64
0
0.16
492
float64
0
0.54
493
float64
0
0.21
494
float64
0
0.53
495
float64
0
0.07
496
float64
0
0
497
float64
0
0.03
498
float64
0
0
499
float64
0
0.08
500
float64
0
0
501
float64
0
0.21
502
float64
0
0.14
503
float64
0
0.18
504
float64
0
0
505
float64
0
0.01
506
float64
0
0.14
507
float64
0
0.05
508
float64
0
0.28
509
float64
0
0.44
510
float64
0
0.47
511
float64
0
0.05
512
float64
0
0
513
float64
0
0.02
514
float64
0
0.03
515
float64
0
0.02
516
float64
0
0
517
float64
0
0.22
518
float64
0
0
519
float64
0
0.19
520
float64
0
0.91
521
float64
0
0.18
522
float64
0
0.41
523
float64
0
0.16
524
float64
0
0.12
525
float64
0
0.05
526
float64
0
0
527
float64
0
0.01
528
float64
0
0.03
529
float64
0
0.11
530
float64
0
0.08
531
float64
0
0.24
532
float64
0
0
533
float64
0
0
534
float64
0
0.11
535
float64
0
0
536
float64
0
0.27
537
float64
0
0.24
538
float64
0
0.27
539
float64
0
0
540
float64
0
0
541
float64
0
0
542
float64
0
0
543
float64
0
0.45
544
float64
0
0.15
545
float64
0
0
546
float64
0
0
547
float64
0
0.36
548
float64
0
0.12
549
float64
0
0.49
550
float64
0
0.09
551
float64
0
0.04
552
float64
0
0.29
553
float64
0
0.15
554
float64
0
0.35
555
float64
0
0
556
float64
0
0
557
float64
0
0
558
float64
0
0.76
559
float64
0
0
560
float64
0
0
561
float64
0
0
562
float64
0
0
563
float64
0
0.17
564
float64
0
0.48
565
float64
0
0.42
566
float64
0
0.35
567
float64
0
0.01
568
float64
0
0
569
float64
0
0
570
float64
0
0.08
571
float64
0
0
572
float64
0
0.12
573
float64
0
0.04
574
float64
0
0
575
float64
0
0
576
float64
0
0
577
float64
0
0
578
float64
0
0.45
579
float64
0
0.4
580
float64
0
0.38
581
float64
0
0
582
float64
0
0.22
583
float64
0
0.5
584
float64
0
0.35
585
float64
0
0.62
586
float64
0
0.22
587
float64
0
0.47
588
float64
0
0
589
float64
0
0.07
590
float64
0
0
591
float64
0
0.22
592
float64
0
0.33
593
float64
0
0
594
float64
0
0.2
595
float64
0
0.01
596
float64
0
0
597
float64
0
0
598
float64
0
0
599
float64
0
0.07
600
float64
0
0.1
601
float64
0
0
602
float64
0
0
603
float64
0
0.12
604
float64
0
0
605
float64
0
0.74
606
float64
0
0.1
607
float64
0
0.44
608
float64
0
0.2
609
float64
0
0
610
float64
0
0.08
611
float64
0
0.05
612
float64
0
0.14
613
float64
0
0.49
614
float64
0
0.61
615
float64
0
0
616
float64
0
0
617
float64
0
0
618
float64
0
0
619
float64
0
0.1
620
float64
0
0.03
621
float64
0
0
622
float64
0
0.14
623
float64
0
0.13
624
float64
0
0
625
float64
0
0.18
626
float64
0
0.36
627
float64
0
0.31
628
float64
0
0.43
629
float64
0
0.16
630
float64
0
0.41
631
float64
0
0.14
632
float64
0
0.01
633
float64
0
0.41
634
float64
0
0.69
635
float64
0
0.69
636
float64
0
0.34
637
float64
0
0
638
float64
0
0.01
639
float64
0
0
640
float64
0
0.24
641
float64
0
0.04
642
float64
0
0.06
643
float64
0
0.67
644
float64
0
0
645
float64
0
0.28
646
float64
0
0.34
647
float64
0
0
648
float64
0
0
649
float64
0
0.13
650
float64
0
0.14
651
float64
0
0
652
float64
0
0
653
float64
0
0.01
654
float64
0
0
655
float64
0
0.15
656
float64
0
0
657
float64
0
0.16
658
float64
0
0.31
659
float64
0
0.19
660
float64
0
0
661
float64
0
0.19
662
float64
0
0.31
663
float64
0
0.29
664
float64
0
0.44
665
float64
0
0
666
float64
0
0.27
667
float64
0
0.39
668
float64
0
0
669
float64
0
0.38
670
float64
0
0.17
671
float64
0
0.35
672
float64
0
0.06
673
float64
0
0.03
674
float64
0
0
675
float64
0
0.08
676
float64
0
0.13
677
float64
0
0.05
678
float64
0
0.01
679
float64
0
0.33
680
float64
0
0.25
681
float64
0
0
682
float64
0
0.39
683
float64
0
0.4
684
float64
0
0.3
685
float64
0
0.48
686
float64
0
0
687
float64
0
0.25
688
float64
0
0.54
689
float64
0
0.25
690
float64
0
0.38
691
float64
0
0
692
float64
0
0
693
float64
0
0
694
float64
0
0.31
695
float64
0
0.08
696
float64
0
0.2
697
float64
0
0.25
698
float64
0
0
699
float64
0
0.32
700
float64
0
0.15
701
float64
0
0.16
702
float64
0
0.16
703
float64
0
0.35
704
float64
0
0
705
float64
0
0.26
706
float64
0
0
707
float64
0
0
708
float64
0
0
709
float64
0
0
710
float64
0
0.02
711
float64
0
0.01
712
float64
0
0
713
float64
0
0.2
714
float64
0
0.06
715
float64
0
0
716
float64
0
0
717
float64
0
0
718
float64
0
0
719
float64
0
0
720
float64
0
0.13
721
float64
0
0
722
float64
0
0
723
float64
0
0.18
724
float64
0
0
725
float64
0
0.38
726
float64
0
0
727
float64
0
0
728
float64
0
0.02
729
float64
0
0
730
float64
0
0
731
float64
0
0
732
float64
0
0.04
733
float64
0
0.02
734
float64
0
0.35
735
float64
0
0.39
736
float64
0
0.4
737
float64
0
0.04
738
float64
0
0
739
float64
0
0.04
740
float64
0
0
741
float64
0
0.85
742
float64
0
0
743
float64
0
0
744
float64
0
0
745
float64
0
0.09
746
float64
0
0.09
747
float64
0
0
748
float64
0
0.39
749
float64
0
0.26
750
float64
0
0.33
751
float64
0
0
752
float64
0
0.38
753
float64
0
0.33
754
float64
0
0.31
755
float64
0
0.32
756
float64
0
0
757
float64
0
0.21
758
float64
0
0.04
759
float64
0
0.38
760
float64
0
0.46
761
float64
0
0.18
762
float64
0
0.01
763
float64
0
0
764
float64
0
0
765
float64
0
0.02
766
float64
0
0.03
767
float64
0
0
768
float64
0
0.22
769
float64
0
0.06
770
float64
0
0
771
float64
0
0
772
float64
0
0.09
773
float64
0
0.57
774
float64
0
0.84
775
float64
0
0.07
776
float64
0
0.16
777
float64
0
0
778
float64
0
0.2
779
float64
0
0
780
float64
0
0
781
float64
0
0.29
782
float64
0
0.27
783
float64
0
0
784
float64
0
0
785
float64
0
0.34
786
float64
0
0.1
787
float64
0
0.29
788
float64
0
0.45
789
float64
0
0.16
790
float64
0
0.55
791
float64
0
0
792
float64
0
0
793
float64
0
0.03
794
float64
0
0.02
795
float64
0
0
796
float64
0
0.1
797
float64
0
0
798
float64
0
0
799
float64
0
0
800
float64
0
0.06
801
float64
0
0.03
802
float64
0
0.23
803
float64
0
0.06
804
float64
0
0.24
805
float64
0
0
806
float64
0
0
807
float64
0
0.19
808
float64
0
0.2
809
float64
0
0.24
810
float64
0
0.19
811
float64
0
0.67
812
float64
0
0.47
813
float64
0
0.41
814
float64
0
0.37
815
float64
0
0.89
816
float64
0
0
817
float64
0
0.44
818
float64
0
0.45
819
float64
0
0
820
float64
0
0.18
821
float64
0
0.14
822
float64
0
0.35
823
float64
0
0.38
824
float64
0
0.38
825
float64
0
1
826
float64
0
0.05
827
float64
0
0.01
828
float64
0
0
829
float64
0
0.19
830
float64
0
0
831
float64
0
0
832
float64
0
0.28
833
float64
0
0
834
float64
0
0
835
float64
0
0.28
836
float64
0
0.47
837
float64
0
0.46
838
float64
0
0.46
839
float64
0
0.11
840
float64
0
0.28
841
float64
0
0.53
842
float64
0
0.48
843
float64
0
0.54
844
float64
0
0.56
845
float64
0
0.55
846
float64
0
0.38
847
float64
0
0
848
float64
0
0
849
float64
0
0
850
float64
0
0.21
851
float64
0
0.34
852
float64
0
0
853
float64
0
0
854
float64
0
0
855
float64
0
0.25
856
float64
0
0.46
857
float64
0
0.22
858
float64
0
0.43
859
float64
0
0
860
float64
0
0.33
861
float64
0
0
862
float64
0
0.03
863
float64
0
0
864
float64
0
0.51
865
float64
0
0.29
866
float64
0
0
867
float64
0
0
868
float64
0
0
869
float64
0
0.18
870
float64
0
0.58
871
float64
0
0.6
872
float64
0
0.57
873
float64
0
0.07
874
float64
0
0.49
875
float64
0
0.04
876
float64
0
0
877
float64
0
0
878
float64
0
0
879
float64
0
0.14
880
float64
0
0.22
881
float64
0
0.39
882
float64
0
0.23
883
float64
0
0
884
float64
0
0.01
885
float64
0
0.07
886
float64
0
0.04
887
float64
0
0
888
float64
0
0.28
889
float64
0
0.02
890
float64
0
0.1
891
float64
0
0.02
892
float64
0
0
893
float64
0
0
894
float64
0
0
895
float64
0
0.13
label
int64
0
3
0
0
0
0
0.075326
0.098415
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202574
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148243
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08112
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192614
0.025797
0
0
0
0
0
0
0
0
0
0
0
0
0.172648
0
0
0
0
0
0.002479
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.779074
0.164421
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07814
0
0
0
0
0
0
0
0
0
0
0
0
0.116944
0.097805
0
0
0
0
0
0
0
0
0
0
0
0
0.006969
0.100744
0.001267
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.438326
0.186663
0
0
0
0
0
0
0
0
0
0
0
0
0.034198
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.32703
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035823
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033197
0.029127
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.708377
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051507
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.349329
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.256528
0.368595
0.069203
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.23708
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039385
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051422
0
0
0
0
0
0
0
0
0.100396
0
0
0.080197
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110974
0
0
0
0
0
0
0
0.044855
0
0
0
0
0
0
0
0.023199
0
0
0
0
0
0
0
0
0
0
0.076195
0.098746
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202489
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149215
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080929
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193273
0.025729
0
0
0
0
0
0
0
0
0
0
0
0
0.175243
0
0
0
0
0
0.002659
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.789612
0.169406
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077847
0
0
0
0
0
0
0
0
0
0
0
0
0.118178
0.098364
0
0
0
0
0
0
0
0
0
0
0
0
0.006871
0.100725
0.001109
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.443367
0.190726
0
0
0
0
0
0
0
0
0
0
0
0
0.033776
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.330783
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035299
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034037
0.03004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.714666
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051913
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.354046
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.259467
0.371882
0.06974
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.24024
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040239
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051137
0
0
0
0
0
0
0
0
0.099994
0
0
0.079748
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110655
0
0
0
0
0
0
0
0.044523
0
0
0
0
0
0
0
0.02295
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.205928
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046828
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.247881
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.157308
0
0.09498
0
0
0
0.018966
0.186275
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.16449
0.094184
0.006372
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.104053
0
0
0
0
0
0.122573
0
0
0
0
0.087554
0
0
0
0.085678
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028401
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.026252
0
0
0
0.008041
0
0
0
0
0
0
0
0
0
0.117952
0
0
0
0
0
0.029966
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.066505
0
0
0
0
0
0
0
0
0
0
0
0.05364
0
0
0
0
0
0
0
0
0
0
0
0.070059
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.09146
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011499
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.090014
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022747
0
0
0
0
0
0
0
0
0
0
0
0
0.182866
0
0
0.054778
0
0
0
0
0
0
0
0
0
0
0.059088
0
0.326722
0
0.083552
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001057
0.053951
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.072806
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013816
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.135033
0
0
0
0
0
0
0
0
0.018327
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005142
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.168995
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.229176
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010296
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.158778
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081764
0
0
0
0.015094
0
0
0
0
0
0
0.126078
0
0
0
0
0
0
0
0
0
0
0
0
0
0.099362
0
0
0
0
0
0
0.006536
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.155937
0
0
0
0
0
0
0
0
0
0
0
0
0.062982
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.247351
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.043981
0
0
0
0
0
0
0
0
0
0
0.076912
0
0
0
0
0
0
0
0
0
0
0.050952
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.163113
0
0
0
0
0
0
0
0
0
0
0
0
0
0.069516
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.336624
0
0
0
0.246338
0
0
0
0
0
0
0
0
0
0
0.152847
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.114576
0
0
0
0
0.225228
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.065667
0
0
0
0
0
0
0
0
0
0.242426
0.22132
0
0.22618
0
0
0
0
0
0
0.054107
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037969
0
0
0
0
0.078576
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.290065
0
0
0.031691
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.063124
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.126025
0
0
0
0
0
0
0
0
0
0
0
0
0
0.093756
0
0
0.049836
0.011476
0
0
0
0
0
0
0.005019
0
0
0
0.048294
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.215189
0.119688
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.041345
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.158802
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.020808
0.206991
0
0
0
0.175509
0.040458
0
0
0
0
0
0.064174
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.177121
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.041694
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.321738
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.102293
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.133351
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.247059
0.068253
0
0
0
0
0.085785
0
0
0
0
0
0
0.029459
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052078
0
0
0
0.064911
0.113074
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048343
0.193936
0
0
0
0
0
0
0
0.174533
0
0
0
0
0
0.076704
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.012473
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.105141
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064389
0
0
0
0
0
0.109734
0
0
0
0
0
0.055057
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.060818
0
0
0
0
0
0
0
0
0
0
0
0
0
0.145671
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.363337
0
0
0
0
0
0
0
0.076405
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.071228
0.096807
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203025
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144328
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081948
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189903
0.026016
0
0
0
0
0
0
0
0
0
0
0
0
0.161874
0
0
0
0
0
0.00163
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.733683
0.142252
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079229
0
0
0
0
0
0
0
0
0
0
0
0
0.111267
0.095572
0
0
0
0
0
0
0
0
0
0
0
0
0.007165
0.100688
0.001411
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.41714
0.169807
0
0
0
0
0
0
0
0
0
0
0
0
0.035847
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.311223
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037854
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029327
0.025266
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.681317
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049542
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.330004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.243581
0.355406
0.066997
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.223493
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035448
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052522
0
0
0
0
0
0
0
0
0.100872
0
0
0.081935
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112226
0
0
0
0
0
0
0
0.045495
0
0
0
0
0
0
0
0.023522
0
0
0
0
0
2
0
0
0
0
0.074415
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.137446
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0958
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022037
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068692
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.126784
0
0
0
0
0
0
0.163188
0
0
0
0
0
0
0
0
0
0
0
0
0.118274
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.138194
0
0
0
0
0
0.062332
0
0
0
0
0
0
0.190191
0
0
0
0
0
0
0
0
0
0
0
0
0
0.047026
0.008514
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.018836
0
0
0
0
0
0.056403
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005525
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080501
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.041123
0
0
0
0
0
0
0
0
0
0
0
0
0
0.181185
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.119247
0
0
0
0
0
0
0
0.166791
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.008502
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.041493
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.10493
0
0
0
0
0
0
0.007184
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.146473
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.180944
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260539
0
0
0
0
0
0
0
0
0
0
0.138134
0
0
0.167697
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.045073
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.075659
0.098522
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202542
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148716
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081028
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192942
0.025744
0
0
0
0
0
0
0
0
0
0
0
0
0.173912
0
0
0
0
0
0.002555
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.78392
0.166567
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077958
0
0
0
0
0
0
0
0
0
0
0
0
0.117491
0.098095
0
0
0
0
0
0
0
0
0
0
0
0
0.006866
0.100686
0.001081
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.440853
0.188703
0
0
0
0
0
0
0
0
0
0
0
0
0.033981
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.328899
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035529
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033548
0.029558
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.711272
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051648
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.351694
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.257904
0.370297
0.069465
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.238614
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039768
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05126
0
0
0
0
0
0
0
0
0.099955
0
0
0.079939
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110794
0
0
0
0
0
0
0
0.044533
0
0
0
0
0
0
0
0.022944
0
0
0
0
0
2
0
0
0
0
0.07659
0.098887
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202439
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149602
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080839
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193557
0.025694
0
0
0
0
0
0
0
0
0
0
0
0
0.17636
0
0
0
0
0
0.002748
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.794231
0.171604
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07771
0
0
0
0
0
0
0
0
0
0
0
0
0.118786
0.098602
0
0
0
0
0
0
0
0
0
0
0
0
0.00682
0.100696
0.001049
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.445674
0.192535
0
0
0
0
0
0
0
0
0
0
0
0
0.033608
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.332496
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035067
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034428
0.030434
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.71742
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052093
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.356084
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260852
0.373293
0.069966
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.241707
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040665
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05101
0
0
0
0
0
0
0
0
0.099846
0
0
0.079543
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110509
0
0
0
0
0
0
0
0.044387
0
0
0
0
0
0
0
0.022871
0
0
0
0
0
0
0
0
0
0
0.0737
0.097767
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202756
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.146769
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081437
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.191592
0.025867
0
0
0
0
0
0
0
0
0
0
0
0
0.168566
0
0
0
0
0
0.002146
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.761642
0.1558
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078527
0
0
0
0
0
0
0
0
0
0
0
0
0.114731
0.096973
0
0
0
0
0
0
0
0
0
0
0
0
0.007005
0.100693
0.001239
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.430311
0.180304
0
0
0
0
0
0
0
0
0
0
0
0
0.03481
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.321043
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036566
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031678
0.027654
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.697987
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050719
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.342054
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.251547
0.363674
0.068369
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.231896
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037852
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051823
0
0
0
0
0
0
0
0
0.100389
0
0
0.080831
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111432
0
0
0
0
0
0
0
0.044979
0
0
0
0
0
0
0
0.023215
0
0
0
0
0
2
0
0
0
0
0.075979
0.098652
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202507
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149002
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080966
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193139
0.025732
0
0
0
0
0
0
0
0
0
0
0
0
0.174704
0
0
0
0
0
0.00262
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.787314
0.168256
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077886
0
0
0
0
0
0
0
0
0
0
0
0
0.117922
0.098255
0
0
0
0
0
0
0
0
0
0
0
0
0.006863
0.100699
0.001094
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.442396
0.189929
0
0
0
0
0
0
0
0
0
0
0
0
0.033863
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.330053
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035388
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033845
0.029844
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.713295
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051804
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.353098
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25887
0.371243
0.069627
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.239615
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040065
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051184
0
0
0
0
0
0
0
0
0.099973
0
0
0.07982
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110707
0
0
0
0
0
0
0
0.044521
0
0
0
0
0
0
0
0.02295
0
0
0
0
0
3
0
0
0
0
0.075218
0.098353
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202591
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148278
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08112
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192637
0.025773
0
0
0
0
0
0
0
0
0
0
0
0
0.172708
0
0
0
0
0
0.002463
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.778904
0.164146
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078088
0
0
0
0
0
0
0
0
0
0
0
0
0.116868
0.097842
0
0
0
0
0
0
0
0
0
0
0
0
0.006899
0.100689
0.001119
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.438471
0.186807
0
0
0
0
0
0
0
0
0
0
0
0
0.034168
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.327125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035764
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033127
0.029129
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.708281
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051439
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.34952
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.256469
0.368803
0.069219
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.237097
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039335
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051388
0
0
0
0
0
0
0
0
0.100057
0
0
0.080141
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110939
0
0
0
0
0
0
0
0.044637
0
0
0
0
0
0
0
0.023007
0
0
0
0
0
2
0
0
0
0
0.076101
0.098692
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202493
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149149
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080935
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193244
0.025717
0
0
0
0
0
0
0
0
0
0
0
0
0.175112
0
0
0
0
0
0.002648
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.788923
0.168991
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07783
0
0
0
0
0
0
0
0
0
0
0
0
0.118117
0.098346
0
0
0
0
0
0
0
0
0
0
0
0
0.006835
0.100683
0.001049
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.443223
0.190588
0
0
0
0
0
0
0
0
0
0
0
0
0.033796
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.330666
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035297
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033969
0.029985
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.714256
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051857
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.353854
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.259339
0.37178
0.069711
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240127
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040202
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051134
0
0
0
0
0
0
0
0
0.099864
0
0
0.079739
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110651
0
0
0
0
0
0
0
0.044437
0
0
0
0
0
0
0
0.022888
0
0
0
0
0
0
0
0
0
0
0.076109
0.098697
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202492
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14915
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080935
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193244
0.025718
0
0
0
0
0
0
0
0
0
0
0
0
0.175116
0
0
0
0
0
0.002649
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.788964
0.169021
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077833
0
0
0
0
0
0
0
0
0
0
0
0
0.118125
0.098346
0
0
0
0
0
0
0
0
0
0
0
0
0.006839
0.100686
0.001056
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.44323
0.190592
0
0
0
0
0
0
0
0
0
0
0
0
0.033797
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.330672
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035299
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033976
0.029987
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.71428
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051861
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.353857
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.259351
0.371778
0.069712
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240135
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040207
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051135
0
0
0
0
0
0
0
0
0.099882
0
0
0.079741
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110652
0
0
0
0
0
0
0
0.044448
0
0
0
0
0
0
0
0.022898
0
0
0
0
0
3
0
0
0
0
0.071216
0.096802
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203026
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144315
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081951
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189894
0.026017
0
0
0
0
0
0
0
0
0
0
0
0
0.161838
0
0
0
0
0
0.001627
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.733537
0.142183
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079233
0
0
0
0
0
0
0
0
0
0
0
0
0.111249
0.095565
0
0
0
0
0
0
0
0
0
0
0
0
0.007167
0.100689
0.001413
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.417068
0.16975
0
0
0
0
0
0
0
0
0
0
0
0
0.035853
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.311169
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037862
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029315
0.025253
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.68123
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049537
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.329938
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.243539
0.35536
0.06699
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.223448
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035436
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052526
0
0
0
0
0
0
0
0
0.100879
0
0
0.081942
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.11223
0
0
0
0
0
0
0
0.0455
0
0
0
0
0
0
0
0.023526
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.069176
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007101
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021751
0
0
0
0
0
0
0.00269
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032643
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.100566
0
0
0
0
0
0
0.113132
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055483
0
0
0
0
0
0
0
0
0
0
0
0
0.265138
0.213139
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.060671
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013885
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.102594
0
0
0
0
0
0
0
0.121826
0
0
0
0
0
0
0
0
0
0
0
0
0.119893
0
0
0
0
0
0
0.023577
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034841
0.040004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.109714
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079164
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.071004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039102
0
0
0
0
0
0
0
0
0
0.126841
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.008109
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.154993
0
0
0
0
0
0
0
0
0
0.000727
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.09906
0
0
0
0
0
0
0
0.012896
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.109981
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004542
0
0
0
0
0
0
0
0
0
0
0.018245
0
0
0
0.006727
0
0
0
0
0
0
0
0
0
0
0
0
0.145935
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.384456
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0795
0.201724
0
0
0
0
0
0.038034
0
0.130628
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.095714
0.003148
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.065507
0
0
0
0
0.420075
0
0
0
0
0
0
0.127363
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02522
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.201267
0
0
0
0
0
0
0
0
0
0
0
0
0.118238
0.295889
0
0.173407
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029419
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.025317
0
0
0
0
0
0.03026
0
0
0
0
0
0
0
0
0
0
0.274708
0
0
0
0
0
0
0.253807
0.007483
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.062866
0
0
0
0
0
0
0.251573
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001259
0
0.131507
0
0
0
0
0
0
0
0
0
0
0
0.06372
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03652
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.09058
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.228478
0
0
0
0
0
0
0
0
0
0
0
0.046584
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000444
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.376977
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.177028
0
0
0
0
0
0
0
0
0
0.001568
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024714
0
0
0
0
0
0.224851
0
0
0
0
0.066995
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.272945
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.133012
0
0.006517
0
0
0
0
0.039168
0
0
0
0
0
0.008669
0
0
0.14993
0
0
0
0
0
0
0.081553
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.183884
0
0
0
0
0
0
0
0
0.116148
0
0
0.118629
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.302266
0
0
0
0
0
0
0
0.00063
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07574
0.098553
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202533
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14879
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081011
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192994
0.02574
0
0
0
0
0
0
0
0
0
0
0
0
0.174123
0
0
0
0
0
0.002572
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.784811
0.167004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077936
0
0
0
0
0
0
0
0
0
0
0
0
0.117608
0.098138
0
0
0
0
0
0
0
0
0
0
0
0
0.006861
0.100685
0.001079
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.441276
0.189036
0
0
0
0
0
0
0
0
0
0
0
0
0.03395
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.329215
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035489
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033625
0.029633
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.711804
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051686
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.352072
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.258166
0.370554
0.069508
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.238887
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039849
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051238
0
0
0
0
0
0
0
0
0.099947
0
0
0.079904
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110769
0
0
0
0
0
0
0
0.044521
0
0
0
0
0
0
0
0.02294
0
0
0
0
0
2
0
0
0.028107
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.364181
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021388
0
0.035811
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028887
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.053299
0.151016
0
0.033423
0
0
0
0
0
0
0
0
0.021645
0
0
0
0
0
0
0
0
0
0.121134
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.285783
0.079602
0.012596
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.01615
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078976
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032184
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000126
0
0
0
0
0
0
0.099303
0
0
0
0
0.060561
0
0
0
0.20762
0
0
0
0
0
0
0
0
0.10472
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.133999
0
0
0
0
0.196158
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024408
0.004061
0
0
0
0
0
0
0
0
0
0
0
0
0
0.209209
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.265987
0
0
0
0
0
0
0
0
0
0
0.114655
0
0
0
0
0.013776
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046752
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.32493
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077825
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.126105
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08187
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.362563
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.197379
0
0
0
0
0
0
0
0
0.007434
0
0
0
0
0
0
0
0
0
0
0
0.160864
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.145825
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.209626
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.020574
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034544
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031626
0
0.057856
0
0
0
0.301736
0.027769
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.225902
0
0
0
0.290009
0
0
0
0
0
0
0
0
0
0.054252
0
0
0
0
0
0
0.125148
0
0
0
0
0
0.085472
0
0
0
0
0
0
0.068382
0
0
0
0
0
0
0
0
0
0
0.086629
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.072444
0.097279
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202892
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.145523
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081697
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190731
0.025943
0
0
0
0
0
0
0
0
0
0
0
0
0.165155
0
0
0
0
0
0.001884
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.747403
0.148905
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078886
0
0
0
0
0
0
0
0
0
0
0
0
0.112971
0.096258
0
0
0
0
0
0
0
0
0
0
0
0
0.007088
0.100691
0.00133
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.423603
0.174955
0
0
0
0
0
0
0
0
0
0
0
0
0.03534
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.316041
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037223
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030483
0.026437
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.689497
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050121
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.33591
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.247495
0.359456
0.067669
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.227619
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036631
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05218
0
0
0
0
0
0
0
0
0.100644
0
0
0.081394
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111837
0
0
0
0
0
0
0
0.045247
0
0
0
0
0
0
0
0.023377
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.01739
0
0
0
0
0
0
0
0
0
0
0
0
0
0.016824
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035942
0
0
0.056549
0.047381
0
0
0.016875
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011124
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.056669
0
0
0
0.054898
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.12943
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000233
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112484
0
0
0
0
0
0
0
0
0
0
0
0
0
0.096372
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.041244
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.115095
0
0
0
0
0
0
0
0.124208
0
0
0
0
0
0
0
0
0
0
0
0
0.125564
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.012
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.012019
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005578
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004177
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.180168
0
0
0
0
0
0
0
0
0
0.097102
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.019088
0.154542
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021402
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.119126
0
0.00633
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038779
0
0
0
0
0
0
0
0
0
0.101021
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0.052793
0.089679
0
0
0
0
0
0
0
0
0
0
0
0
0
0.205038
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.126019
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085794
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.17722
0.027175
0
0
0
0
0
0
0
0
0
0
0
0
0.111647
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.524164
0.040789
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084559
0
0
0
0
0
0
0
0
0
0
0
0
0.085294
0.085035
0
0
0
0
0
0
0
0
0
0
0
0
0.008448
0.100731
0.002863
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.318092
0.090887
0
0
0
0
0
0
0
0
0
0
0
0
0.043644
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.237393
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.047605
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011751
0.007361
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.556392
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04079
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.239447
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.183801
0.293202
0.056704
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.160368
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017423
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.057813
0
0
0
0
0
0
0
0
0.104812
0
0
0.090286
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.118256
0
0
0
0
0
0
0
0.049571
0
0
0
0
0
0
0
0.025956
0
0
0
0
0
2
0
0
0
0
0.052165
0.089427
0
0
0
0
0
0
0
0
0
0
0
0
0
0.205098
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125437
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08592
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.176823
0.027201
0
0
0
0
0
0
0
0
0
0
0
0
0.110021
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.517339
0.037359
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084713
0
0
0
0
0
0
0
0
0
0
0
0
0.084446
0.084708
0
0
0
0
0
0
0
0
0
0
0
0
0.00847
0.100711
0.002845
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.315015
0.088414
0
0
0
0
0
0
0
0
0
0
0
0
0.043883
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.235082
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.047897
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011174
0.006786
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.55231
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040497
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.236594
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.181881
0.291258
0.056359
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.158376
0
0
0
0
0
0
0
0
0
0
0
0
0
0.016846
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05797
0
0
0
0
0
0
0
0
0.104813
0
0
0.090538
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.118427
0
0
0
0
0
0
0
0.04962
0
0
0
0
0
0
0
0.025965
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040132
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049378
0
0
0
0
0
0
0
0
0
0
0
0
0
0.109279
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08035
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004076
0
0
0
0
0
0
0.139186
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048978
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.263403
0
0
0
0
0
0
0.10346
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.061571
0
0
0
0
0
0
0
0
0
0
0
0
0.081933
0.205678
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.262826
0
0
0
0
0
0
0.15016
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068825
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004737
0
0
0
0
0
0
0.114101
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.086712
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003032
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004266
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.237006
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007078
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064145
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.168061
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.045617
0
0
0
0
0
0.105282
0
0
0
0
0
0
0
0
0
0.067173
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112337
0
0
0
0
0
0
0
0
0.147544
0
0
0.11278
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.243671
0
0
0
0
0
0
0
0.061428
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.075902
0.098623
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202514
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148904
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080985
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193073
0.02574
0
0
0
0
0
0
0
0
0
0
0
0
0.174446
0
0
0
0
0
0.002604
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.786295
0.167787
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077918
0
0
0
0
0
0
0
0
0
0
0
0
0.117808
0.098198
0
0
0
0
0
0
0
0
0
0
0
0
0.006877
0.100704
0.001119
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.441897
0.189523
0
0
0
0
0
0
0
0
0
0
0
0
0.033907
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.329682
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035443
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033768
0.029755
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.712687
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051768
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.352624
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.258589
0.370908
0.069573
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.239307
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039986
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051214
0
0
0
0
0
0
0
0
0.100035
0
0
0.079867
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.11074
0
0
0
0
0
0
0
0.044567
0
0
0
0
0
0
0
0.022987
0
0
0
0
0
3
0
0
0
0
0.070816
0.09666
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203067
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.143839
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082048
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189564
0.02606
0
0
0
0
0
0
0
0
0
0
0
0
0.160547
0
0
0
0
0
0.001539
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.728393
0.139806
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079398
0
0
0
0
0
0
0
0
0
0
0
0
0.110639
0.09528
0
0
0
0
0
0
0
0
0
0
0
0
0.00724
0.100723
0.001535
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.414499
0.167689
0
0
0
0
0
0
0
0
0
0
0
0
0.036065
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.309262
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03814
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028915
0.024804
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.678159
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049357
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.327562
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.242071
0.353684
0.066724
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.221853
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035011
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052678
0
0
0
0
0
0
0
0
0.101173
0
0
0.082184
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112401
0
0
0
0
0
0
0
0.04573
0
0
0
0
0
0
0
0.023697
0
0
0
0
0
0
0
0
0.07173
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.108132
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.165989
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055895
0
0
0
0
0
0
0
0
0
0
0.259004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021259
0
0
0
0
0
0
0
0
0
0
0
0
0
0.071212
0
0.01125
0
0
0.115761
0
0.029197
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.100116
0
0
0
0
0
0.16573
0
0
0
0
0
0.007819
0
0.010618
0.14218
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00121
0
0
0
0
0
0
0.104051
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078001
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048738
0
0
0
0
0
0.067832
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049193
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.106307
0
0
0
0
0
0
0
0
0
0
0.019583
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052786
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.043073
0
0
0
0
0
0
0
0
0
0
0
0
0.021864
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006449
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017475
0
0
0
0
0
0
0
0
0
0
0
0.215248
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013489
0
0
0
0
0
0
0
0
0.082022
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.118069
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.152869
0
0.008599
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064645
0
0
0
0
0
0
0.06577
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003463
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006234
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147021
0
0
0
0
0
0
0
0
0
0
0
0
0
0.159178
0
0
0
0
0
0
0
0.04899
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.042755
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078204
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068853
0.103255
0
0.058955
0
0
0
0
0
0.007698
0.011391
0
0
0
0
0
0
0
0
0.001879
0
0
0
0
0
0
0
0.049162
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.117384
0.021533
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.065862
0
0
0
0
0
0
0
0.086307
0
0.101505
0.014741
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.062013
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.159262
0
0
0
0
0
0
0
0
0
0.06354
0
0
0
0
0.453276
0.123526
0.015131
0
0
0
0
0
0
0
0
0
0
0
0.034296
0
0
0
0
0.071715
0
0
0
0
0
0.116055
0
0
0
0
0
0
0
0.008342
0.12058
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077516
0.000116
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.177859
0
0
0
0
0
0
0.306769
0
0
0
0
0
0
0.157278
0
0
0
0
0
0.040052
0
0
0
0
0
0
0
0.039507
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.103637
0
0
0
0.474611
0
0
0
0
0
0
0
0
0
0
0
0.10547
0.319437
0
0
0.07751
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064893
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049778
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.090276
0
0.098201
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.18554
0
0
0
0
0
0
0.200348
0
0
0
0
0
0
0.264829
0.048547
0
0
0
0
0
0
0
0
0
0
0
0.019331
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.195968
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.014269
0.006644
0
0
0
0
0
0
0
0
0.06763
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.044739
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.06793
0
0
0.129217
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.014454
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.137238
0
0
0
0
0
0
0
0
0
0
0
0
0
0.152208
0
0
0
0
0
0
0
0
0
0
0
0.040435
0
0
0
0
0
0
0.003964
0
0
0
0
0.116768
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.10802
0
0
0
0
0
0
0
0
0
0
0
0
0
0.075207
0
0
0
0
0
0.008072
0.017574
0
0
0.054987
0.00583
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.20307
0
0
0
0
0
0
0
0
0
0.006438
0
0
0
0.102358
0
0
0
0
0.040099
0.083854
0
0.28793
0
0
0
0
0
0
0
0
0
0
0
0
0.311692
0
0
0
0
0
0
0
0
0.038551
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013594
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.290963
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.042084
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.020317
0
0
0.009808
0
0
0
0
0
0
0
0.22029
0.130034
0
0.242523
0
0
0
0
0
0
0
0.050184
0
0
0
0
0
0
0.01953
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.096131
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07812
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.023433
0
0.201975
0.009177
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068403
0
0
0
0
0
0
0
0
0
0
0
0
0.125089
0.085511
0
0
0
0
0
0
0.127196
0.043268
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000073
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021982
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.185728
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.014574
0
0
0
0
0.253492
0
0
0
0
0
0.094529
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.18247
0
0
0
0.200395
0
0
0.043878
0.004584
0
0
0
0
0.062516
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.070258
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024366
0
0
0.075798
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.230543
0
0.128478
0
0
0
0
0
0
0
0
0
0
0
0
0.003128
0
0
0
0
0
0
0
0.102909
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001343
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.069268
0
0
0
0
0
0
0
0
0
0.034722
0.142593
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.061269
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07231
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144952
0.076171
0
0
0
0
0
0
0
0
0
0
0
0.153168
0
0
0
0
0
0
0
0
0
0
0.020073
0
0
0
0
0.092988
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085082
0
0
0
0
0
0
0
0
0
0
0
0.001083
0
0
0
0
0
0
0
0
0
0.142013
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.074443
0.098052
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202674
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147508
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08128
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192106
0.025819
0
0
0
0
0
0
0
0
0
0
0
0
0.170602
0
0
0
0
0
0.002302
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.770118
0.159891
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078308
0
0
0
0
0
0
0
0
0
0
0
0
0.115786
0.097401
0
0
0
0
0
0
0
0
0
0
0
0
0.006949
0.100686
0.001174
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.43434
0.183511
0
0
0
0
0
0
0
0
0
0
0
0
0.034495
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.324044
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036169
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03239
0.028378
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.703042
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05107
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.345729
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.253975
0.366201
0.068786
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.234463
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038584
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051607
0
0
0
0
0
0
0
0
0.100214
0
0
0.080488
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111187
0
0
0
0
0
0
0
0.044802
0
0
0
0
0
0
0
0.023108
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.225386
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082244
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037248
0
0
0
0
0
0
0
0
0
0
0
0
0.055302
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085909
0
0
0
0
0
0
0
0
0
0
0
0
0.019351
0
0.049121
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.044154
0
0
0
0
0
0
0
0
0.027744
0
0
0
0
0
0
0.093061
0
0
0
0
0
0.167283
0
0.33376
0
0
0
0
0
0
0
0
0
0
0
0
0
0.025486
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.107027
0
0.008618
0.003665
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0284
0
0
0
0
0
0
0
0
0.006577
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110047
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.135039
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.016894
0
0
0
0
0
0
0
0
0
0
0
0
0
0.18133
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013846
0.091996
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.176386
0
0
0
0
0
0
0
0
0
0
0
0
0.000412
0
0
0
0
0
0
0
0.302027
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055827
0
0
0
0
0
0
0
0
0.03406
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.207377
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.020868
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029491
0
0
0
0
0
0
0.033001
0
0.12155
0
0
0
0.110107
0
0.019922
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003158
0.2233
0
0
0
0
0
0
0
0
0
0.138616
0
0
0.235709
0
0.059123
0
0
0
0
0
0
0
0
0
0
0.019449
0
0
0
0
0
0
0
0
0
0
0.00914
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.074984
0.09827
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202615
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147994
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081177
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192441
0.025798
0
0
0
0
0
0
0
0
0
0
0
0
0.171941
0
0
0
0
0
0.002411
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.775859
0.162744
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078186
0
0
0
0
0
0
0
0
0
0
0
0
0.116511
0.097672
0
0
0
0
0
0
0
0
0
0
0
0
0.006943
0.10071
0.001194
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.43695
0.185585
0
0
0
0
0
0
0
0
0
0
0
0
0.034294
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.325996
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03593
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032891
0.028863
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.706464
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051334
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.348108
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.255605
0.367805
0.06906
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.236155
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039086
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051478
0
0
0
0
0
0
0
0
0.10024
0
0
0.080286
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.11104
0
0
0
0
0
0
0
0.044778
0
0
0
0
0
0
0
0.023114
0
0
0
0
0
2
0
0
0
0
0.174422
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037111
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.117552
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00551
0.185734
0
0
0.11548
0.006944
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.191242
0
0
0
0
0
0
0
0.015886
0
0
0
0
0
0
0.10506
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.089997
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08655
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.124992
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00713
0.11937
0
0
0
0
0
0
0.142412
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.042425
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084309
0
0
0
0
0
0
0
0
0
0
0
0
0
0.124426
0
0
0
0.042855
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149923
0.001307
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.061876
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.057472
0
0
0.087624
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.186807
0
0
0
0
0
0
0
0
0
0
0
0
0
0.074864
0
0
0
0
0
0
0
0
0
0
0.099649
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02142
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.200202
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078321
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190055
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006182
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000085
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.137047
0.033811
0
0
0.062729
0.041474
0
0
0
0
0
0
0
0
0
0
0.02344
0
0.061825
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.136576
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.075986
0.09865
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202507
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149043
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08096
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193166
0.025725
0
0
0
0
0
0
0
0
0
0
0
0
0.174805
0
0
0
0
0
0.002623
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.787639
0.168369
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077865
0
0
0
0
0
0
0
0
0
0
0
0
0.117948
0.098282
0
0
0
0
0
0
0
0
0
0
0
0
0.006845
0.100687
0.001058
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.442599
0.190098
0
0
0
0
0
0
0
0
0
0
0
0
0.033842
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.330202
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035358
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033859
0.029876
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.713491
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051803
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.3533
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.258958
0.3714
0.069649
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.239727
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040084
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051167
0
0
0
0
0
0
0
0
0.099888
0
0
0.079792
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110689
0
0
0
0
0
0
0
0.044463
0
0
0
0
0
0
0
0.022901
0
0
0
0
0
2
0
0
0
0
0.05756
0.091515
0
0
0
0
0
0
0
0
0
0
0
0
0
0.204517
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.130794
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084791
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.180531
0.026862
0
0
0
0
0
0
0
0
0
0
0
0
0.124746
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.578682
0.067178
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083152
0
0
0
0
0
0
0
0
0
0
0
0
0.092043
0.08779
0
0
0
0
0
0
0
0
0
0
0
0
0.00809
0.100699
0.002433
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.343951
0.111494
0
0
0
0
0
0
0
0
0
0
0
0
0.041605
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.256663
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.045037
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.016308
0.012024
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5889
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.043047
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.263092
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.199364
0.309468
0.05939
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.176825
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022108
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.056421
0
0
0
0
0
0
0
0
0.103683
0
0
0.088091
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.11666
0
0
0
0
0
0
0
0.048444
0
0
0
0
0
0
0
0.025271
0
0
0
0
0
0
0
0
0
0
0.075126
0.098321
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202599
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148147
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081144
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192549
0.025785
0
0
0
0
0
0
0
0
0
0
0
0
0.172365
0
0
0
0
0
0.002442
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.777582
0.163554
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078134
0
0
0
0
0
0
0
0
0
0
0
0
0.116724
0.097764
0
0
0
0
0
0
0
0
0
0
0
0
0.006923
0.1007
0.001164
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.437802
0.186263
0
0
0
0
0
0
0
0
0
0
0
0
0.034227
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.326629
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035841
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033031
0.029012
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.707492
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051398
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.348884
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.256104
0.368346
0.069147
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.23669
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039234
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05143
0
0
0
0
0
0
0
0
0.100166
0
0
0.080208
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110985
0
0
0
0
0
0
0
0.044716
0
0
0
0
0
0
0
0.023072
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064084
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000124
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068348
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027637
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.114228
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035509
0
0
0
0
0
0
0
0
0
0
0
0
0.102487
0.181334
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067758
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036011
0
0
0
0
0
0.065732
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.073664
0
0
0
0
0
0
0
0
0
0
0
0
0.08036
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027526
0
0
0
0
0
0
0
0
0.007982
0
0
0
0
0
0
0
0
0
0
0
0
0.031207
0.089148
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.056687
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046354
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.047386
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.01113
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.06219
0
0
0
0
0
0
0
0
0.119996
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.167628
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.09437
0
0
0
0
0
0
0
0.020165
0
0
0
0
0
3
0
0
0
0
0.076442
0.098821
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202454
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149477
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080863
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193476
0.025694
0
0
0
0
0
0
0
0
0
0
0
0
0.176032
0
0
0
0
0
0.002721
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.792774
0.170853
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077729
0
0
0
0
0
0
0
0
0
0
0
0
0.118611
0.098539
0
0
0
0
0
0
0
0
0
0
0
0
0.006808
0.100676
0.001021
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.445073
0.19205
0
0
0
0
0
0
0
0
0
0
0
0
0.033657
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.332044
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035117
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034297
0.030313
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.716552
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052017
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.355516
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260462
0.37292
0.069899
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.24131
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040545
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051036
0
0
0
0
0
0
0
0
0.099791
0
0
0.079582
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110539
0
0
0
0
0
0
0
0.04436
0
0
0
0
0
0
0
0.022846
0
0
0
0
0
0
0
0
0
0
0.075394
0.098419
0
0
0
0
0
0
0
0
0
0
0
0
0
0.20257
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148453
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081082
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192761
0.02576
0
0
0
0
0
0
0
0
0
0
0
0
0.173199
0
0
0
0
0
0.002501
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.780936
0.165121
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078032
0
0
0
0
0
0
0
0
0
0
0
0
0.117126
0.097946
0
0
0
0
0
0
0
0
0
0
0
0
0.006882
0.100683
0.001098
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.439456
0.187587
0
0
0
0
0
0
0
0
0
0
0
0
0.034092
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.327857
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035666
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033297
0.029303
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.709493
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051521
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.350409
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25706
0.369416
0.069319
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.237723
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039514
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051334
0
0
0
0
0
0
0
0
0.100004
0
0
0.080056
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110878
0
0
0
0
0
0
0
0.044586
0
0
0
0
0
0
0
0.022977
0
0
0
0
0
3
0
0
0
0
0.076255
0.098755
0
0
0
0
0
0
0
0
0
0
0
0
0
0.20248
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149322
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080904
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193356
0.025708
0
0
0
0
0
0
0
0
0
0
0
0
0.175558
0
0
0
0
0
0.002678
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.790752
0.169867
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077786
0
0
0
0
0
0
0
0
0
0
0
0
0.118321
0.098441
0
0
0
0
0
0
0
0
0
0
0
0
0.006825
0.100688
0.001031
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.444061
0.191271
0
0
0
0
0
0
0
0
0
0
0
0
0.033723
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.331292
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035211
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034115
0.030143
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.715347
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051931
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.354657
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25983
0.372336
0.069804
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240653
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040342
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051088
0
0
0
0
0
0
0
0
0.099814
0
0
0.079667
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.1106
0
0
0
0
0
0
0
0.044394
0
0
0
0
0
0
0
0.022853
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.014153
0
0
0.026292
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.065821
0
0
0
0
0
0
0
0.146863
0
0
0.035871
0.106434
0.039189
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027997
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192007
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.014864
0
0
0
0.158907
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.170652
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.195933
0
0
0
0
0
0
0
0
0
0
0
0
0.13452
0.3025
0.106181
0
0
0
0
0
0
0
0
0
0
0
0
0.097129
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024079
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.124393
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000512
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112442
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00241
0
0
0
0
0
0
0
0.120123
0
0
0
0
0.022044
0
0
0
0
0
0
0
0.211499
0
0
0
0
0
0
0.079467
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081721
0
0
0
0
0
0
0
0
0
0
0
0
0
0.095595
0.135321
0
0
0
0
0
0
0
0
0
0
0.008473
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110898
0
0
0
0.096468
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.227798
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.069619
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.015026
0
0
0
0
0
0
0
0
0
0.081764
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189518
0
0
0.100587
0
0
0
0
0
0
0.130652
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013329
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.087066
0
0
0
0
0
0
0
0
0
0.003545
0.049564
0
0
0
0
0
0
0
0
0
0
0.175641
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.062073
0.020503
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.248007
0
0
0
0
0
0
0
0
0.104162
0
0
0
0
0
0.039573
0
0
0
0
0
0
0
0
0
0
0.006709
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0.072103
0.097144
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202927
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.145185
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081765
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190501
0.025961
0
0
0
0
0
0
0
0
0
0
0
0
0.164242
0
0
0
0
0
0.001815
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.743582
0.147045
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078976
0
0
0
0
0
0
0
0
0
0
0
0
0.112507
0.096068
0
0
0
0
0
0
0
0
0
0
0
0
0.007104
0.100684
0.001346
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.421834
0.173538
0
0
0
0
0
0
0
0
0
0
0
0
0.035483
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.314721
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037395
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030163
0.026111
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.687219
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049957
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.334273
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.246424
0.358336
0.067482
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.22649
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03631
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052273
0
0
0
0
0
0
0
0
0.100696
0
0
0.08154
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111942
0
0
0
0
0
0
0
0.045307
0
0
0
0
0
0
0
0.023414
0
0
0
0
0
3
0
0
0
0
0.041928
0.085478
0
0
0
0
0
0
0
0
0
0
0
0
0
0.206153
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.115232
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08805
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.169901
0.02789
0
0
0
0
0
0
0
0
0
0
0
0
0.082307
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00715
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.40129
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002192
0
0
0
0
0
0
0
0.087806
0
0
0
0
0
0
0
0
0
0
0
0
0.070011
0.078916
0
0
0
0
0
0
0
0
0
0
0
0
0.009187
0.100659
0.00377
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.259844
0.044715
0
0
0
0
0
0
0
0
0
0
0
0
0.048225
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193967
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.053388
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001401
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.483125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035555
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.186302
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148635
0.256801
0.050869
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.123235
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006816
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.061003
0
0
0
0
0
0
0
0
0.107057
0
0
0.095183
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.121986
0
0
0
0
0
0
0
0.051903
0
0
0
0
0
0
0
0.027323
0
0
0
0
0
3
0
0
0
0
0.076209
0.098734
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202482
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14926
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080912
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.19332
0.025709
0
0
0
0
0
0
0
0
0
0
0
0
0.175415
0
0
0
0
0
0.002671
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.790181
0.169595
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077797
0
0
0
0
0
0
0
0
0
0
0
0
0.118272
0.09841
0
0
0
0
0
0
0
0
0
0
0
0
0.006826
0.100682
0.001037
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.443823
0.191067
0
0
0
0
0
0
0
0
0
0
0
0
0.033749
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.331113
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035237
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034074
0.030093
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.715006
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051908
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.354403
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.259698
0.372159
0.069773
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240508
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040309
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051102
0
0
0
0
0
0
0
0
0.099833
0
0
0.079688
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110614
0
0
0
0
0
0
0
0.044408
0
0
0
0
0
0
0
0.022869
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.070917
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.087693
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.060103
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.008407
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.020962
0
0.000701
0
0.08862
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085522
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.161003
0
0
0
0
0
0
0
0
0
0
0
0
0.312961
0.260031
0.110361
0
0
0
0
0
0
0
0
0
0
0
0
0.014694
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064044
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189368
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.253419
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003398
0
0
0
0
0
0
0
0
0
0
0
0
0.138092
0
0
0
0
0
0
0.05616
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.101218
0.189779
0
0
0
0
0
0
0
0
0
0
0.032856
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000663
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.059236
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.045622
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005644
0
0
0
0
0
0
0
0
0
0
0
0
0
0.072331
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.059246
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.19187
0
0
0
0
0
0
0
0
0
0
0.041719
0
0
0
0.011009
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.157664
0.21912
0
0
0
0
0
0
0
0
0.163692
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0.073294
0.097621
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202797
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.146281
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081535
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.191255
0.02591
0
0
0
0
0
0
0
0
0
0
0
0
0.167249
0
0
0
0
0
0.002058
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.756402
0.153379
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078693
0
0
0
0
0
0
0
0
0
0
0
0
0.114117
0.096683
0
0
0
0
0
0
0
0
0
0
0
0
0.007079
0.100726
0.001363
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.427706
0.17821
0
0
0
0
0
0
0
0
0
0
0
0
0.035027
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.319109
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036849
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031272
0.027196
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.69486
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050536
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.339634
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.250062
0.361966
0.068097
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.23028
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037424
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051978
0
0
0
0
0
0
0
0
0.10069
0
0
0.081076
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111605
0
0
0
0
0
0
0
0.045211
0
0
0
0
0
0
0
0.023392
0
0
0
0
0
2
0
0
0.59886
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.324799
0
0
0
0.233316
0
0
0
0
0
0
0
0
0
0
0.138923
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017455
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085212
0
0
0
0
0
0
0
0
0
0.393179
0
0
0.279671
0.009741
0
0
0
0
0
0.075555
0
0
0
0
0
0
0
0
0
0.003889
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.184487
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003902
0
0
0
0
0
0.045612
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.025383
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000016
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031055
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.128882
0
0
0
0
0
0
0
0
0
0
0
0
0
0.107505
0
0
0
0.066551
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029727
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.218059
0.10976
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010515
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.403925
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.009526
0.194453
0
0
0
0.053059
0
0
0
0
0
0
0
0
0
0
0.092387
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.1093
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048743
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.481009
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.100946
0
0
0
0
0
0
0
0
0.108674
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.127383
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240831
0.070477
0
0
0
0
0.049278
0
0
0
0
0
0
0.04256
0
0
0.064702
0
0
0
0
0
0
0
0
0
0
0
0.03963
0
0
0
0
0
0
0
0
0
0
0
0
0.052546
0
0
0
0
0
0
0
0.057217
0.195668
0
0
0
0
0
0
0
0.41848
0
0
0
0
0
0.085521
0.003019
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030373
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.098147
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.063363
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077708
0
0
0
0
0
0
0
0
0.003329
0
0
0
0
0.169869
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.228544
0
0
0.41268
0
0
0
0
0
0
0
0.059644
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.142884
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.100863
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.272962
0.088594
0
0
0.322897
0
0
0
0
0
0
0
0
0
0
0.165453
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.162892
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079729
0
0
0
0
0
0
0
0
0
0.281454
0.15811
0
0.017986
0.012444
0
0
0
0
0
0.065532
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055038
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.047501
0
0
0
0
0
0.090596
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.208682
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.128552
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010589
0
0
0
0.055188
0
0
0
0
0
0
0
0
0
0
0.018797
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110991
0.03253
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034637
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.296012
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.095446
0
0
0
0.071266
0.108988
0
0
0
0
0
0
0
0
0
0.167613
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.06153
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007245
0
0
0
0
0
0
0
0
0
0
0.313819
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000432
0
0
0
0
0
0
0
0
0.076994
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.088641
0
0
0
0
0.067191
0.083118
0
0
0
0
0
0
0.125499
0
0
0.005831
0
0
0.037973
0
0
0
0
0
0
0
0
0
0
0
0
0
0.122932
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.201929
0
0
0
0
0
0
0
0.228914
0
0
0
0
0
0.005053
0
0.020328
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.058056
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081346
0
0
0
0
0
0
0
0
0
0
0
0.046818
0
0
0
0
0
0
0
0
0
0
0.05228
0
0
0
0
0
0
0.051167
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14297
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013517
0
0
0.365826
0
0
0
0
0
0.016719
0
0.093659
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.076412
0.098813
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202459
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149456
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08087
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193456
0.025698
0
0
0
0
0
0
0
0
0
0
0
0
0.175955
0
0
0
0
0
0.002713
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.792445
0.170696
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077742
0
0
0
0
0
0
0
0
0
0
0
0
0.118554
0.098522
0
0
0
0
0
0
0
0
0
0
0
0
0.006814
0.100683
0.001026
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.444885
0.191912
0
0
0
0
0
0
0
0
0
0
0
0
0.033666
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.331905
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035134
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034266
0.030285
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.716356
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.355372
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260344
0.372822
0.069884
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.241187
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040505
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051046
0
0
0
0
0
0
0
0
0.099801
0
0
0.0796
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110551
0
0
0
0
0
0
0
0.044371
0
0
0
0
0
0
0
0.022849
0
0
0
0
0
3
0
0
0
0
0.190766
0
0
0
0
0
0
0
0
0
0
0
0.208117
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.245634
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144401
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003883
0
0
0
0
0
0
0
0
0
0
0.106408
0.197289
0
0
0.108917
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.268212
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.117405
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.53212
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.130689
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080677
0
0
0
0
0
0
0
0
0
0
0
0
0
0.061403
0.09606
0
0
0
0
0
0.039209
0
0
0
0
0
0
0.042717
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039865
0.080944
0
0
0
0
0
0
0.130769
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.194342
0
0
0
0
0
0
0
0
0
0
0
0
0
0.096552
0
0
0
0.060663
0
0
0.009323
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.258916
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.042239
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.16855
0
0
0
0
0
0
0
0
0
0
0
0
0
0.131916
0
0
0
0
0
0
0
0
0
0
0.140872
0
0.028697
0
0
0
0
0
0
0
0
0
0
0
0
0
0.093029
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040892
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040439
0
0
0
0.087556
0
0
0
0.158634
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.058807
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.121146
0
0
0
0
0
0
0
0
0
0
0
0
0
0.019288
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029314
0
0
0
0
0
0
0
0
0
0
0
0.013941
0
0.093535
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0331
0
0
0.118633
0.06912
0
0
0
0.071367
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.186993
0
0
0
0
0.112537
0
0
0.190916
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064293
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048159
0
0
0
0
0
0
0
0
0
0.092168
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.074302
0.097998
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202691
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147385
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081309
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192018
0.025826
0
0
0
0
0
0
0
0
0
0
0
0
0.17025
0
0
0
0
0
0.002272
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.768611
0.159148
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078344
0
0
0
0
0
0
0
0
0
0
0
0
0.115585
0.097329
0
0
0
0
0
0
0
0
0
0
0
0
0.006955
0.100687
0.001174
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.433625
0.182951
0
0
0
0
0
0
0
0
0
0
0
0
0.034546
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.323512
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036235
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032256
0.028251
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.702144
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051003
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.345099
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.253529
0.365774
0.068715
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.234
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038444
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051643
0
0
0
0
0
0
0
0
0.100217
0
0
0.080546
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111229
0
0
0
0
0
0
0
0.044816
0
0
0
0
0
0
0
0.023109
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007966
0
0.020407
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005841
0.128339
0
0
0.012885
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082166
0.1142
0
0
0
0
0
0
0
0
0
0
0
0
0
0.131755
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.053437
0
0.096728
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.15349
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040611
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048997
0.031287
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.015086
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.101095
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032559
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002217
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.13502
0
0
0
0
0
0
0
0.121735
0
0.20708
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.180302
0
0.054561
0
0
0
0
0
0
0
0.00851
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.101703
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064355
0.09415
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203773
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.137495
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083382
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.185171
0.026447
0
0
0
0
0
0
0
0
0
0
0
0
0.143135
0
0
0
0
0
0.00019
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.655538
0.104463
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081218
0
0
0
0
0
0
0
0
0
0
0
0
0.101584
0.09164
0
0
0
0
0
0
0
0
0
0
0
0
0.007645
0.100705
0.001953
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.380194
0.140365
0
0
0
0
0
0
0
0
0
0
0
0
0.038757
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.283684
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.041485
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022773
0.018587
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.634723
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046279
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.296217
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.221287
0.332195
0.063158
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.199949
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028728
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.054494
0
0
0
0
0
0
0
0
0.10236
0
0
0.085051
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.114463
0
0
0
0
0
0
0
0.04703
0
0
0
0
0
0
0
0.024447
0
0
0
0
0
1
0
0
0
0
0.072085
0.097139
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202931
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.145178
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08177
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190492
0.025963
0
0
0
0
0
0
0
0
0
0
0
0
0.164205
0
0
0
0
0
0.001809
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.74341
0.146959
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078983
0
0
0
0
0
0
0
0
0
0
0
0
0.112472
0.096061
0
0
0
0
0
0
0
0
0
0
0
0
0.007107
0.100688
0.001346
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.421733
0.173467
0
0
0
0
0
0
0
0
0
0
0
0
0.035486
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.314646
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037404
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030144
0.026097
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.687117
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04995
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.334205
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.246355
0.358291
0.067475
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.226421
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036285
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052277
0
0
0
0
0
0
0
0
0.100693
0
0
0.081549
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111948
0
0
0
0
0
0
0
0.045308
0
0
0
0
0
0
0
0.023409
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.150542
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.012602
0
0
0
0
0
0
0
0
0
0
0
0
0
0.018301
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.06108
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024239
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.116965
0
0
0
0
0
0
0
0
0
0
0
0
0
0.130752
0
0
0
0
0
0
0
0.010003
0
0
0
0
0
0.024782
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.047103
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.213498
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.061716
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.123847
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085419
0.036284
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037077
0
0
0
0
0
0
0
0
0.010358
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.042973
0
0
0
0
0
0
0.210569
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.120584
0
0
0
0
0
0
0.22897
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077595
0.078385
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.109427
0
0
0
0
0
0
0
0
0.162536
0
0
0
0
0
0
0
0
0
0.0688
0
0
0
0
0
0
0
0
0.239212
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.071622
0.096959
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202982
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144719
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081866
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190174
0.025992
0
0
0
0
0
0
0
0
0
0
0
0
0.162946
0
0
0
0
0
0.001713
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.738159
0.144418
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079116
0
0
0
0
0
0
0
0
0
0
0
0
0.111822
0.095797
0
0
0
0
0
0
0
0
0
0
0
0
0.007138
0.100688
0.001381
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.419253
0.171491
0
0
0
0
0
0
0
0
0
0
0
0
0.035681
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.312798
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037647
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029703
0.025648
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.683986
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04973
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.331936
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.244858
0.356733
0.067217
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.224841
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035833
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052409
0
0
0
0
0
0
0
0
0.10079
0
0
0.081757
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112098
0
0
0
0
0
0
0
0.045409
0
0
0
0
0
0
0
0.023471
0
0
0
0
0
3
0
0
0
0
0.118997
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110994
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046665
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.061204
0
0
0
0
0
0
0
0
0
0.071064
0.068213
0
0.166719
0.050616
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.104444
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.044375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017078
0
0
0
0.068652
0
0
0
0
0
0
0
0
0
0
0
0.242251
0.410245
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02879
0.075089
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02885
0
0
0
0
0
0.119853
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024192
0
0
0
0
0
0
0.062292
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.250131
0.039214
0
0
0
0
0
0
0
0
0
0
0
0.316057
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.076623
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083597
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.047732
0
0.2135
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028565
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.12163
0.150838
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005252
0
0
0
0
0
0.02457
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.404525
0
0
0
0
0
0
0
0
0
0
0
0.094673
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037366
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.012616
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085443
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.10776
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067656
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.042536
0.023587
0
0
0
0
0
0.028753
0
0
0
0
0
0
0.214177
0
0
0
0
0
0.016268
0
0
0
0
0
0
0.07224
0.053679
0
0
0
0
0
0
0
0
0
0.044964
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0.033984
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.335319
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.146817
0
0
0.240853
0
0
0
0
0
0
0
0
0
0
0
0
0
0.019177
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.086238
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.152416
0
0
0
0
0.182496
0
0
0.01978
0.158732
0
0
0.128584
0.050636
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00907
0
0
0
0
0
0
0
0
0.039006
0
0
0.352696
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.102017
0
0
0
0
0
0
0
0.02521
0
0
0
0.266735
0
0
0
0.014859
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.180543
0
0
0
0
0
0
0.022618
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.16337
0
0
0
0
0
0
0.213252
0
0
0
0
0
0.258915
0.184218
0
0
0
0
0
0.052727
0
0
0
0
0
0.045301
0
0.025864
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082007
0
0
0
0
0
0.092198
0
0
0
0
0
0
0
0
0
0
0
0.034331
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00481
0
0
0
0
0
0
0
0
0
0
0
0.33873
0
0
0
0
0
0.044833
0
0
0
0
0
0
0
0
0
0
0
0
0
0.138391
0.012404
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.074846
0
0
0
0
0
0
0
0.14532
0
0
0
0
0.011096
0
0
0
0
0
0
0
0.010206
0
0
0
0
0
0
0.068655
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.091533
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.094388
0.144192
0
0
0
0
0
0
0
0
0
0
0.064645
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077924
0
0
0
0
0.261722
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.061207
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.207353
0
0.082912
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028423
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006545
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125804
0
0
0.304389
0
0
0
0
0
0
0.23277
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.109339
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027549
0
0
0
0
0
0
0
0
0.149363
0.04359
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.026953
0
0
0
0
0
0
0
0
0
0.023218
0
0.029455
0
0.051757
0
0
0
0
0
0
0
0
0
0
0.123356
0
0
0
0
0
0
0
0
0
0
0.102494
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037642
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048612
0
0
0
0
0
0
0
0
0
0
0
0
0
0.109588
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08339
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005194
0
0
0
0
0
0
0.140263
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04962
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.263676
0
0
0
0
0
0
0.103006
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.062519
0
0
0
0
0
0
0
0
0
0
0
0
0.082746
0.206665
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.263146
0
0
0
0
0
0
0.151144
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068139
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005175
0
0
0
0
0
0
0.1152
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084475
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007195
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006717
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.238329
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.008393
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.063993
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.169005
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.045549
0
0
0
0
0
0.105419
0
0
0
0
0
0
0
0
0
0.069296
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.113109
0
0
0
0
0
0
0
0
0.147477
0
0
0.112937
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.245497
0
0
0
0
0
0
0
0.060973
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.105741
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.154722
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111078
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046289
0
0
0
0
0
0.043041
0.002232
0
0
0
0
0
0.052716
0.077592
0
0
0
0
0
0
0
0
0
0
0
0
0.059243
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.012039
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.045238
0
0
0
0
0
0
0.053011
0
0
0
0
0
0
0.025775
0
0
0
0
0
0.160739
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.140603
0
0
0
0
0
0
0
0
0
0
0
0
0
0.128477
0
0
0
0
0
0
0.096143
0.013563
0
0
0
0
0
0.006158
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.019512
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000358
0
0
0
0
0
0
0
0
0
0
0
0.279353
0
0
0
0
0
0.086225
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.086969
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.115147
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017176
0.059122
0
0
0
0
0
0.099652
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.043721
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011945
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050959
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.384314
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005821
0
0
0
0
0
0
0.157508
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.191209
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038601
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084091
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.012355
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003389
0
0
0
0
0
0.08299
0
0
0
0
0
0
0
0
0
0.066373
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.178403
0
0
0.11201
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.098217
0
0
0
0
0
0
0
0.019082
0
0
0
0
0
0
0
0
0
0
0.004851
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.016887
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035018
0
0
0
0
0
0
0
0
0
0
0
0
0
0.073315
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006825
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.019025
0
0
0
0
0
0
0.014536
0
0
0
0
0
0
0
0
0
0
0
0
0.040314
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067101
0
0
0
0
0
0
0
0.160201
0
0
0
0
0
0
0
0
0
0
0
0
0.026647
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004863
0.071221
0
0
0
0
0
0
0.004498
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034121
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.018889
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.134832
0.065033
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.023005
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055618
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.092562
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03461
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.153617
0
0
0
0
0
0
0.149798
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031471
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00406
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.066699
0
0
0
0
0
0.060687
0
0
0
0
0
0
0
0
0
0.016426
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028141
0
0
0
0
0
0
0
0
0.153781
0
0
0.124152
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.100982
0
0
0
0
0
0
0
0.092692
0
0
0
0
0
0
0
0.036038
0
0
0
0
0
1
0
0
0
0
0.070324
0.096457
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203123
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14343
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082137
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189282
0.026072
0
0
0
0
0
0
0
0
0
0
0
0
0.159412
0
0
0
0
0
0.001441
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.723413
0.137283
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07949
0
0
0
0
0
0
0
0
0
0
0
0
0.109994
0.095056
0
0
0
0
0
0
0
0
0
0
0
0
0.007228
0.10069
0.001481
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.412286
0.165939
0
0
0
0
0
0
0
0
0
0
0
0
0.036229
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.307604
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038331
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028465
0.024388
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.675193
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049113
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.325565
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240651
0.352357
0.066493
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.220399
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034565
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052781
0
0
0
0
0
0
0
0
0.101065
0
0
0.082344
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112519
0
0
0
0
0
0
0
0.045695
0
0
0
0
0
0
0
0.023643
0
0
0
0
0
3
0
0
0
0
0.075503
0.098463
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202561
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148573
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081059
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.19284
0.025753
0
0
0
0
0
0
0
0
0
0
0
0
0.173511
0
0
0
0
0
0.002522
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.782218
0.165736
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078001
0
0
0
0
0
0
0
0
0
0
0
0
0.117271
0.098012
0
0
0
0
0
0
0
0
0
0
0
0
0.006875
0.100686
0.001087
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.440044
0.188066
0
0
0
0
0
0
0
0
0
0
0
0
0.034041
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.328297
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035606
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0334
0.029414
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.710258
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051573
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.350971
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.257407
0.369805
0.069384
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.238094
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039614
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051302
0
0
0
0
0
0
0
0
0.099972
0
0
0.080006
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110842
0
0
0
0
0
0
0
0.044558
0
0
0
0
0
0
0
0.022954
0
0
0
0
0
2
0
0
0
0
0.065129
0.094475
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203696
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.138204
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083243
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.18564
0.026428
0
0
0
0
0
0
0
0
0
0
0
0
0.14502
0
0
0
0
0
0.000339
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.663659
0.108531
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081067
0
0
0
0
0
0
0
0
0
0
0
0
0.102567
0.092019
0
0
0
0
0
0
0
0
0
0
0
0
0.007661
0.100768
0.002009
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.383752
0.143227
0
0
0
0
0
0
0
0
0
0
0
0
0.038468
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.286351
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.041164
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.023477
0.019273
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.639563
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046665
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.299543
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.223514
0.334428
0.063546
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202258
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029403
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.054322
0
0
0
0
0
0
0
0
0.102453
0
0
0.084786
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.114269
0
0
0
0
0
0
0
0.047039
0
0
0
0
0
0
0
0.024477
0
0
0
0
0
2
0
0
0
0
0.127537
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013688
0
0
0
0
0
0
0
0
0
0
0
0
0
0.116861
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068746
0
0
0
0
0
0
0
0
0
0
0
0
0.187657
0.079975
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039054
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.069299
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007262
0
0
0.009387
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.042953
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.016117
0
0
0
0
0
0
0
0.087669
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036298
0.154739
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.13631
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.019421
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.205187
0.250532
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032557
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.135302
0
0
0
0
0
0
0
0
0
0
0
0
0
0.059554
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.127781
0
0
0
0
0
0.01272
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033802
0
0
0
0
0
0.085295
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.324226
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.057974
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.043422
0.128313
0
0
0
0
0
0
0
0
0
0.161238
0
0
0.049776
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111977
0
0
0
0
0
0
0
0.015029
0
0
0
0
0
0
0
0
0
0
0.070955
0.096788
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203111
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144206
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082057
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189684
0.026099
0
0
0
0
0
0
0
0
0
0
0
0
0.161055
0
0
0
0
0
0.001517
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.730303
0.140771
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079445
0
0
0
0
0
0
0
0
0
0
0
0
0.110507
0.095387
0
0
0
0
0
0
0
0
0
0
0
0
0.007324
0.100882
0.00157
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.414661
0.168095
0
0
0
0
0
0
0
0
0
0
0
0
0.03592
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.30942
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038105
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028978
0.024989
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.679311
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049464
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.328386
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.242038
0.354259
0.066853
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.221891
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034889
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052667
0
0
0
0
0
0
0
0
0.101192
0
0
0.082194
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112407
0
0
0
0
0
0
0
0.045779
0
0
0
0
0
0
0
0.023621
0
0
0
0
0
2
0
0
0
0
0.041825
0.025952
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189796
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.162219
0
0
0
0
0
0
0
0
0
0
0
0
0
0.097896
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.255768
0
0
0
0
0
0
0.011011
0
0
0
0
0
0
0.192458
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083801
0
0
0
0
0
0
0
0
0
0
0
0
0.025657
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.114898
0
0
0
0
0
0
0
0
0
0
0
0
0.140878
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011637
0.163698
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.023586
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149224
0
0
0
0
0
0.091707
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013948
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068917
0.035477
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.014631
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.091274
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.015998
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00459
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.157493
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031424
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064775
0
0.171068
0
0
0
0
0
0
0.09579
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003783
0
0
0
0
0
0
0
0.043964
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011402
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04042
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080337
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048341
0
0
0
0
0
0.000884
0.000866
0
0
0
0
0
0
0
0
0
0.132733
0
0
0.19539
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007371
0
0
0
0
0
0
0
0.074093
0
0
0
0
0
0
0
0.033864
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.018023
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110092
0
0
0.157005
0.12228
0
0
0.011083
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080998
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031548
0
0
0
0.066967
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.198213
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0348
0
0
0
0
0
0
0
0
0
0
0
0
0
0.139124
0
0
0
0
0
0
0
0
0
0
0
0
0
0.140169
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.042333
0
0
0
0
0
0
0
0.145293
0
0
0
0
0
0
0
0
0
0
0
0
0.134395
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.043948
0.027482
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00109
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038663
0
0
0
0
0
0
0
0
0
0
0
0
0
0.097382
0
0
0.110245
0
0
0
0
0
0
0.26509
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02407
0
0
0
0
0
0
0
0
0
0
0
0.193323
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085813
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.199944
0
0
0
0
0
0.062489
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031884
0
0
0
0
0
0
0
0
0
0
0
0
0
0.096792
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024874
0.016422
0
0
0
0
0
0.048177
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.023737
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.226464
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110301
0
0
0
0
0
0
0
0.05742
0
0
0
0
0
0
0
0
0
0
0
0
0
0.012581
0
0
0
0
0
0
0
0
0
0
0
0
0
0.063229
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.116141
0
0
0
0
0
0
0.120613
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.009369
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035202
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.109759
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.164523
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.023866
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082071
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040305
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085789
0
0
0
0
0
0
0
0
0.136247
0
0
0.118284
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.157475
0
0
0
0
0
0
0
0.075568
0
0
0
0
0
0
0
0.033234
0
0
0
0
0
0
0
0
0
0
0.122762
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.025737
0
0
0
0
0
0
0
0
0
0
0
0
0
0.1292
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.096745
0
0
0
0
0
0
0
0
0
0
0
0
0.164158
0.102276
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085847
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080284
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022663
0
0
0
0
0
0
0
0.082971
0
0
0
0
0
0
0
0
0
0
0
0.001031
0.041704
0
0
0
0
0
0
0
0
0
0
0
0
0
0.066681
0.158761
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.098995
0
0
0
0
0
0
0.077464
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028393
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.156915
0.370945
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021367
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147692
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083102
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.195894
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.041134
0
0
0
0
0
0.077615
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.370471
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064223
0
0
0
0
0
0
0.001956
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013153
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068716
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080168
0.153367
0
0
0
0
0
0
0
0
0
0.155541
0
0
0.036722
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.105452
0
0
0
0
0
0
0
0.044361
0
0
0
0
0
1
0
0
0
0
0.068954
0.095929
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203271
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.142054
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082424
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.188329
0.026161
0
0
0
0
0
0
0
0
0
0
0
0
0.155643
0
0
0
0
0
0.001153
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.707739
0.129723
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079894
0
0
0
0
0
0
0
0
0
0
0
0
0.108058
0.094263
0
0
0
0
0
0
0
0
0
0
0
0
0.007331
0.100698
0.001604
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.404856
0.160014
0
0
0
0
0
0
0
0
0
0
0
0
0.036817
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.302067
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039066
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027157
0.023047
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.665847
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048464
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.318762
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.236183
0.347676
0.06572
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.215673
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033221
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05318
0
0
0
0
0
0
0
0
0.101398
0
0
0.082975
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112972
0
0
0
0
0
0
0
0.046026
0
0
0
0
0
0
0
0.023848
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078621
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.158794
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.258679
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04826
0.149126
0.018316
0.147962
0
0
0
0
0
0
0
0.008762
0
0
0
0
0
0
0
0
0
0
0.007416
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.187001
0
0.037516
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055995
0
0
0
0
0
0
0
0.061915
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125042
0
0
0
0
0
0
0
0
0
0
0
0.07247
0
0.135381
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.166741
0
0
0
0
0
0
0
0
0
0
0
0
0.111035
0.014483
0
0
0
0.036058
0
0
0.001868
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.366822
0
0
0
0
0
0
0
0
0
0
0
0
0
0.019538
0
0
0
0
0.082233
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.096359
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.056722
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039191
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.300001
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.121045
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.087626
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.094349
0
0
0
0.20007
0
0
0.070144
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.604112
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010007
0
0
0.041033
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002088
0
0
0
0
0
0.177489
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02939
0
0.034695
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033106
0
0
0
0
0
0
0
0
0
0.049528
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004591
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067986
0
0
0
0.03303
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.094645
0
0
0
0
0
0
0
0
0
0
0
0
0.16394
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000372
0.018386
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038338
0
0
0
0.067803
0
0
0
0
0
0.052722
0
0
0
0
0
0
0
0
0
0
0
0.057193
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.026181
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037492
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.131624
0
0
0
0.065493
0
0.024926
0.018352
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.352545
0.004182
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027067
0
0
0
0
0
0
0
0.010211
0.011999
0
0
0.02002
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002376
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011419
0
0
0
0
0
0
0
0
0
0
0
0
0.135512
0.100716
0
0
0
0
0
0.045068
0
0
0
0
0
0.087512
0
0.170506
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029969
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.076757
0
0
0
0
0
0
0
0
0
0
0
0.005454
0
0
0
0
0
0.003693
0
0
0
0
0
0
0
0
0
0
0.192643
0
0
0
0
0
0.007077
0
0
0
0
0
0
0
0
0
0
0
0
0
0.061
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.065233
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.109322
0
0
0.147614
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.106969
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067357
0.058636
0
0
0
0
0
0
0
0
0
0
0
0
0
0.043733
0
0
0
0
0
0
0.121597
0.04872
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033105
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.119467
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.016904
0
0
0
0
0
0
0
0
0
0.143928
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07537
0
0
0
0
0
0
0
0
0
0
0.068525
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032081
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.087424
0
0
0
0
0
0
0
0
0
0
0
0.069189
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.183028
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022805
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067622
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03359
0
0
0
0.082675
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.13474
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027455
0
0
0
0
0
0
0
0
0
0
0
0
0.060862
0.218836
0
0
0
0
0
0
0
0
0
0
0
0
0
0.128584
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.128357
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067202
0
0
0
0
0
0
0
0
0
0
0
0
0.126094
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046595
0.101159
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006504
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033833
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.199594
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.180121
0.115054
0
0
0
0
0
0
0
0
0.009141
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.097243
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0.011918
0.07411
0
0
0
0
0
0
0
0
0
0
0
0
0
0.208718
0
0
0
0
0
0.001415
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.086417
0
0
0
0
0
0
0
0
0
0
0
0
0
0.09377
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149598
0.028517
0
0
0
0
0
0
0
0
0
0
0
0
0.004075
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051154
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051973
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.019024
0
0
0
0
0
0
0
0.095294
0
0
0
0
0
0
0
0
0
0
0
0
0.027233
0.062844
0
0
0
0
0
0
0
0
0
0
0
0
0.010413
0.100472
0.005708
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.094527
0
0
0
0
0
0
0
0
0
0
0
0
0
0.061048
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.072854
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067312
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.277874
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.019805
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040199
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050988
0.157333
0.035609
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.019049
0
0
0
0
0
0
0.014732
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000309
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.069365
0
0
0
0
0
0
0
0
0.113288
0
0
0.10808
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.12982
0
0
0
0
0
0
0
0.058258
0
0
0
0
0
0
0
0.03094
0
0
0
0
0
0
0
0
0
0
0.076565
0.098875
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202428
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149449
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08085
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193477
0.025705
0
0
0
0
0
0
0
0
0
0
0
0
0.176058
0
0
0
0
0
0.002749
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.793261
0.171241
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077749
0
0
0
0
0
0
0
0
0
0
0
0
0.11877
0.098524
0
0
0
0
0
0
0
0
0
0
0
0
0.006849
0.100697
0.001133
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.445228
0.192109
0
0
0
0
0
0
0
0
0
0
0
0
0.03368
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.332164
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035142
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034399
0.030338
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.716835
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052083
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.35551
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260694
0.372852
0.069898
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.241479
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040658
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05105
0
0
0
0
0
0
0
0
0.100055
0
0
0.079602
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110549
0
0
0
0
0
0
0
0.044519
0
0
0
0
0
0
0
0.023007
0
0
0
0
0
0
0
0
0
0
0.076502
0.098848
0
0
0
0
0
0
0
0
0
0
0
0
0
0.20245
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149543
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080852
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193517
0.025693
0
0
0
0
0
0
0
0
0
0
0
0
0.176194
0
0
0
0
0
0.002731
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.793451
0.171187
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077717
0
0
0
0
0
0
0
0
0
0
0
0
0.11868
0.098572
0
0
0
0
0
0
0
0
0
0
0
0
0.00681
0.100684
0.001023
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.445356
0.192286
0
0
0
0
0
0
0
0
0
0
0
0
0.033629
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.332256
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035089
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034351
0.030371
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.716956
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052048
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.355802
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.26063
0.373115
0.069933
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.241489
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040592
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051021
0
0
0
0
0
0
0
0
0.099789
0
0
0.079561
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110523
0
0
0
0
0
0
0
0.044355
0
0
0
0
0
0
0
0.022841
0
0
0
0
0
3
0
0
0
0
0.076454
0.098829
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202456
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149508
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080861
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.19349
0.025695
0
0
0
0
0
0
0
0
0
0
0
0
0.176088
0
0
0
0
0
0.002721
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.792977
0.170946
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077727
0
0
0
0
0
0
0
0
0
0
0
0
0.118613
0.098551
0
0
0
0
0
0
0
0
0
0
0
0
0.006809
0.100683
0.001017
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.445136
0.192117
0
0
0
0
0
0
0
0
0
0
0
0
0.033643
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.332091
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035108
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034307
0.030332
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.716674
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052024
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.355613
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260487
0.372991
0.069911
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.241343
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040545
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051031
0
0
0
0
0
0
0
0
0.099778
0
0
0.079577
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110535
0
0
0
0
0
0
0
0.044352
0
0
0
0
0
0
0
0.022833
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077134
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.01902
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004876
0.163565
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.009984
0
0
0.010427
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.090582
0
0.096524
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.098662
0
0
0.051891
0
0
0.011608
0
0.031119
0.243153
0
0
0.029595
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.098664
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.016757
0
0
0
0.021938
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.160292
0
0.115528
0
0
0
0.105027
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068366
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011913
0
0
0
0
0
0
0
0
0
0
0
0
0
0.009174
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.158213
0
0
0
0
0.107184
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050852
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.158311
0
0
0
0
0
0
0
0
0
0
0.156087
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048694
0
0
0
0
0
0
0
0
0.10318
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.195925
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085299
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.071409
0
0
0.208549
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.153675
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.13381
0
0
0
0
0
0
0
0
0
0
0
0
0
0.155917
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.009805
0
0
0
0
0.064727
0.001657
0
0
0
0.057694
0
0
0
0
0.056644
0
0
0.412213
0
0
0
0
0
0
0
0
0
0.009406
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040561
0
0
0
0.164974
0.166477
0
0.03047
0
0.08871
0
0
0
0
0.090234
0
0
0
0
0
0.013046
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.01222
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.104481
0
0
0
0.018971
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083232
0
0
0
0
0
0
0
0
0
0
0
0.055015
0
0
0.408531
0.033786
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.093551
0
0
0
0
0
0
0
0.048297
0.069226
0
0
0.015274
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017792
0
0
0
0
0
0
0.110501
0
0
0
0
0
0.171396
0.208721
0
0
0
0
0
0
0
0
0
0
0
0
0
0.13119
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010891
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193972
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.070034
0
0
0
0
0
0.290058
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027179
0.013239
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046307
0
0
0
0
0
0
0
0
0
0
0
0
0.06782
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.13046
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.114975
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.162539
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.138816
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028505
0
0
0
0
0
0
0
0
0
0
0.148805
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068909
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055899
0
0
0
0
0
0
0.020516
0
0
0
0
0
0
0
0
0
0.103589
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0.076606
0.098889
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202439
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149651
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080831
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.19359
0.025687
0
0
0
0
0
0
0
0
0
0
0
0
0.176483
0
0
0
0
0
0.002753
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.794648
0.171763
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077687
0
0
0
0
0
0
0
0
0
0
0
0
0.118823
0.098633
0
0
0
0
0
0
0
0
0
0
0
0
0.006802
0.100685
0.001013
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.445917
0.192737
0
0
0
0
0
0
0
0
0
0
0
0
0.033583
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.332674
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035033
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03445
0.030474
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.71767
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052097
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.356323
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260966
0.373474
0.069992
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.241845
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040691
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050991
0
0
0
0
0
0
0
0
0.099763
0
0
0.079513
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110489
0
0
0
0
0
0
0
0.04433
0
0
0
0
0
0
0
0.022823
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.098609
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024878
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.053423
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.012255
0
0
0
0
0
0
0
0
0
0
0
0
0.074423
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.120927
0
0
0
0
0
0
0
0
0
0
0
0
0.122526
0.212141
0
0
0
0
0
0
0
0
0
0
0
0
0
0.066946
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.17325
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083863
0
0
0
0
0
0
0
0
0
0
0
0
0.107531
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040552
0
0
0.008176
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.073519
0.148706
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017113
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006355
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.169822
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.165787
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08438
0
0
0
0
0
0
0
0.004493
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.165062
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037154
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.100052
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078672
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.098682
0
0
0
0
0
0.050417
0
0.00314
0.187726
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.163717
0
0
0
0
0
0
0
0
0
0
0
0
0
0.134442
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036796
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.152737
0
0
0
0
0
0.10145
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.195956
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.070928
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.020158
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.053857
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.071733
0
0
0.004487
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.128833
0.266752
0
0
0
0
0
0
0
0
0
0
0.068769
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.042598
0
0
0
0
0
0
0
0
0.047858
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.100753
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02013
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.102159
0
0
0
0
0
0
0
0
0
0
0
0
0
0.104009
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039593
0
0
0
0
0
0
0
0
0
0
0
0.251615
0
0
0
0
0
0
0
0
0
0
0.041101
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.173829
0.119278
0
0
0
0
0
0
0
0
0.130045
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0.076377
0.0988
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202463
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149415
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080879
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193428
0.025702
0
0
0
0
0
0
0
0
0
0
0
0
0.175842
0
0
0
0
0
0.002705
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.791997
0.170489
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077756
0
0
0
0
0
0
0
0
0
0
0
0
0.1185
0.098498
0
0
0
0
0
0
0
0
0
0
0
0
0.006821
0.100686
0.001037
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.444661
0.191732
0
0
0
0
0
0
0
0
0
0
0
0
0.033684
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.331738
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035159
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034231
0.030246
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.716088
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051989
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.355165
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260215
0.372676
0.069861
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.241048
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040468
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051059
0
0
0
0
0
0
0
0
0.099827
0
0
0.079621
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110566
0
0
0
0
0
0
0
0.044391
0
0
0
0
0
0
0
0.022863
0
0
0
0
0
3
0
0
0
0
0.07183
0.09704
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202959
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144927
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081823
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190318
0.025978
0
0
0
0
0
0
0
0
0
0
0
0
0.163517
0
0
0
0
0
0.001756
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.740533
0.145564
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079055
0
0
0
0
0
0
0
0
0
0
0
0
0.112115
0.095917
0
0
0
0
0
0
0
0
0
0
0
0
0.007123
0.100687
0.001363
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.420378
0.172388
0
0
0
0
0
0
0
0
0
0
0
0
0.035592
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.313637
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037536
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029902
0.025851
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.685402
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049828
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.332966
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.245535
0.357441
0.067334
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.225557
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036037
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052349
0
0
0
0
0
0
0
0
0.100742
0
0
0.081662
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112029
0
0
0
0
0
0
0
0.04536
0
0
0
0
0
0
0
0.023441
0
0
0
0
0
2
0
0
0
0
0.072029
0.097116
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202937
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.145125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081781
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190456
0.025966
0
0
0
0
0
0
0
0
0
0
0
0
0.164061
0
0
0
0
0
0.001798
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.742798
0.146658
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078997
0
0
0
0
0
0
0
0
0
0
0
0
0.112396
0.096031
0
0
0
0
0
0
0
0
0
0
0
0
0.007109
0.100686
0.001346
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.421451
0.173242
0
0
0
0
0
0
0
0
0
0
0
0
0.035508
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.314436
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03743
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030091
0.026045
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.686752
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049923
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.333947
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.246182
0.358115
0.067445
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.22624
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036232
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052292
0
0
0
0
0
0
0
0
0.100696
0
0
0.081571
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111964
0
0
0
0
0
0
0
0.045315
0
0
0
0
0
0
0
0.023413
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.120152
0
0
0
0
0
0
0.017987
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.056588
0.155517
0
0
0
0
0
0
0
0
0
0
0
0
0.040976
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.042021
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.063906
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013751
0
0
0
0
0
0
0
0
0
0
0
0
0
0.118357
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011661
0.030037
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017813
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.170502
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017216
0.041038
0
0
0
0
0
0
0.026774
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004037
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.072007
0
0
0
0
0
0.024066
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004429
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.072454
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010054
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017689
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021623
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078729
0
0
0
0
0
0
0
0
0.122456
0
0
0.021146
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.15622
0
0
0
0
0
0
0
0.054587
0
0
0
0
0
0
0
0.004428
0
0
0
0
0
1
0
0
0
0
0.076436
0.098832
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202465
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149514
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080871
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193478
0.025703
0
0
0
0
0
0
0
0
0
0
0
0
0.176043
0
0
0
0
0
0.002711
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.792779
0.170861
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077746
0
0
0
0
0
0
0
0
0
0
0
0
0.118542
0.098541
0
0
0
0
0
0
0
0
0
0
0
0
0.006825
0.100705
0.001029
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.44494
0.191995
0
0
0
0
0
0
0
0
0
0
0
0
0.033643
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.331951
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035126
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034279
0.030317
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.716557
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052021
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.355519
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260356
0.372925
0.069905
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.241212
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040493
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051042
0
0
0
0
0
0
0
0
0.099799
0
0
0.079598
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110549
0
0
0
0
0
0
0
0.044374
0
0
0
0
0
0
0
0.022835
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.296731
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077255
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.29091
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.076513
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.090299
0.013813
0
0
0
0
0
0
0
0.033
0
0
0
0
0
0
0
0
0
0
0
0.018878
0
0
0
0
0
0
0
0
0
0
0
0.013255
0
0
0
0
0.027267
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.023949
0
0
0
0
0
0.160402
0
0
0
0
0
0.075487
0
0.004431
0.179759
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027649
0
0.20924
0
0
0
0
0
0
0
0
0
0
0
0
0.129827
0
0
0
0
0
0
0
0.173902
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010812
0.061299
0
0
0
0
0
0
0
0
0
0
0
0
0.083248
0.152705
0
0
0
0
0.06537
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084731
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.018426
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.206477
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.018003
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.27163
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.060539
0
0.189883
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.136006
0
0
0.064472
0.078863
0
0
0.006076
0.093162
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.214925
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080057
0
0.002907
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.06782
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.120239
0
0
0
0
0
0
0
0
0
0
0
0
0
0.1608
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04605
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.015297
0
0
0
0
0
0
0
0
0
0
0
0
0.185797
0
0
0
0
0
0
0
0
0
0.04199
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081856
0.114491
0
0
0
0
0
0
0
0.072197
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005591
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.070327
0.09647
0
0
0
0
0
0
0
0
0
0
0
0
0
0.20312
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.143355
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08215
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189228
0.02609
0
0
0
0
0
0
0
0
0
0
0
0
0.159217
0
0
0
0
0
0.001437
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.722845
0.137115
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079538
0
0
0
0
0
0
0
0
0
0
0
0
0.109951
0.095002
0
0
0
0
0
0
0
0
0
0
0
0
0.007273
0.100723
0.001569
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.411885
0.165604
0
0
0
0
0
0
0
0
0
0
0
0
0.03627
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.307313
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038396
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028449
0.024331
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.67485
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.325169
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240489
0.352041
0.066451
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.220185
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034534
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052817
0
0
0
0
0
0
0
0
0.101271
0
0
0.082404
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112558
0
0
0
0
0
0
0
0.045834
0
0
0
0
0
0
0
0.023759
0
0
0
0
0
2
0
0
0
0
0.066112
0.094825
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203582
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.139262
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083012
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.186395
0.026332
0
0
0
0
0
0
0
0
0
0
0
0
0.147977
0
0
0
0
0
0.000559
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.67567
0.11417
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080697
0
0
0
0
0
0
0
0
0
0
0
0
0.104072
0.092659
0
0
0
0
0
0
0
0
0
0
0
0
0.007511
0.100692
0.001791
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.389748
0.147982
0
0
0
0
0
0
0
0
0
0
0
0
0.038002
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.290803
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04054
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024454
0.02031
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.646727
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.047111
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.304959
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.227032
0.338211
0.06415
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.206027
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030455
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05398
0
0
0
0
0
0
0
0
0.101927
0
0
0.084239
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.11388
0
0
0
0
0
0
0
0.046602
0
0
0
0
0
0
0
0.024182
0
0
0
0
0
2
0
0
0
0
0.07554
0.098476
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202554
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148592
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081052
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192858
0.025752
0
0
0
0
0
0
0
0
0
0
0
0
0.173582
0
0
0
0
0
0.002531
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.78255
0.165909
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077993
0
0
0
0
0
0
0
0
0
0
0
0
0.117328
0.098025
0
0
0
0
0
0
0
0
0
0
0
0
0.006875
0.100685
0.001093
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.44021
0.188187
0
0
0
0
0
0
0
0
0
0
0
0
0.034034
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.32842
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035593
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033435
0.02944
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.710456
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051591
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.351097
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.257521
0.369886
0.069397
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.238206
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039654
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051295
0
0
0
0
0
0
0
0
0.099987
0
0
0.079994
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110833
0
0
0
0
0
0
0
0.044564
0
0
0
0
0
0
0
0.022965
0
0
0
0
0
1
0
0
0
0
0.083379
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.36783
0.027506
0
0
0
0
0
0
0
0
0
0
0
0
0
0.103404
0
0
0
0
0
0
0
0
0
0
0
0
0
0.053368
0
0
0
0
0.052852
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.099415
0
0
0
0
0
0
0
0
0.077416
0.102609
0
0
0.254311
0.110666
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068293
0
0
0
0
0.029612
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.220654
0
0
0
0
0
0
0.334785
0
0
0
0
0.180435
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022571
0
0
0
0
0
0
0
0
0.03592
0
0
0
0.065207
0
0
0
0
0
0
0
0.294413
0.352617
0
0
0
0
0
0
0.010454
0
0
0
0
0
0
0.041601
0.12015
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.246976
0
0
0
0
0
0
0
0.066833
0
0
0
0
0
0
0
0.087109
0
0
0.035163
0
0
0.151994
0.154481
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.372136
0.388232
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021221
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.008842
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.215428
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001626
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.141054
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110794
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.524243
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.025115
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.06297
0
0
0
0
0
0
0
0.092637
0
0
0
0
0
0
0
0
0.029338
0.004842
0
0
0
0.039239
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.070607
0
0
0
0
0
0
0
0
0
0.132951
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013856
0
0
0
0
0
0
0
0
0
0
0.016786
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.044469
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.224042
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.221125
0
0
0.174955
0.134696
0
0
0
0
0
0
0
0
0
0
0
0
0.099966
0
0
0
0
0
0.024785
0.059767
0
0
0
0
0
0
0.068082
0
0
0
0
0
0
0
0
0
0.034604
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.076136
0.098706
0
0
0
0
0
0
0
0
0
0
0
0
0
0.20249
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149184
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080928
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193268
0.025715
0
0
0
0
0
0
0
0
0
0
0
0
0.175206
0
0
0
0
0
0.002655
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.789321
0.169183
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077821
0
0
0
0
0
0
0
0
0
0
0
0
0.118167
0.098366
0
0
0
0
0
0
0
0
0
0
0
0
0.006833
0.100683
0.001046
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.443411
0.190737
0
0
0
0
0
0
0
0
0
0
0
0
0.033782
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.330806
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035279
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034003
0.030019
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.714493
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051873
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.354024
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.259452
0.371896
0.06973
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240247
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040236
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051124
0
0
0
0
0
0
0
0
0.099858
0
0
0.079724
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.11064
0
0
0
0
0
0
0
0.04443
0
0
0
0
0
0
0
0.022884
0
0
0
0
0
3
0
0
0
0
0.076322
0.098779
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202471
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149376
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08089
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193397
0.025704
0
0
0
0
0
0
0
0
0
0
0
0
0.17572
0
0
0
0
0
0.002693
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.791452
0.170212
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077768
0
0
0
0
0
0
0
0
0
0
0
0
0.118421
0.098474
0
0
0
0
0
0
0
0
0
0
0
0
0.006821
0.100686
0.001031
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.444403
0.191535
0
0
0
0
0
0
0
0
0
0
0
0
0.0337
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.331546
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03518
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034179
0.030202
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.715764
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051962
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.354949
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260046
0.372533
0.069836
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240876
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040412
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051071
0
0
0
0
0
0
0
0
0.099814
0
0
0.07964
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.11058
0
0
0
0
0
0
0
0.044387
0
0
0
0
0
0
0
0.022855
0
0
0
0
0
1
0
0
0
0
0.07625
0.098751
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202477
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149296
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080904
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193345
0.025708
0
0
0
0
0
0
0
0
0
0
0
0
0.175513
0
0
0
0
0
0.002679
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.790605
0.169806
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077789
0
0
0
0
0
0
0
0
0
0
0
0
0.118326
0.09843
0
0
0
0
0
0
0
0
0
0
0
0
0.006826
0.100684
0.001039
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.444015
0.191218
0
0
0
0
0
0
0
0
0
0
0
0
0.033734
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.331256
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03522
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034112
0.030128
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.715259
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051928
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.354576
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.259819
0.372274
0.069793
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240633
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040347
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051092
0
0
0
0
0
0
0
0
0.099838
0
0
0.079673
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110603
0
0
0
0
0
0
0
0.044408
0
0
0
0
0
0
0
0.022871
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013487
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.060051
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030984
0
0
0
0.066653
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.154383
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04641
0
0
0
0
0
0
0
0
0
0
0
0
0.07558
0.237745
0
0
0
0
0
0
0
0
0
0
0
0
0
0.130992
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.180022
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052396
0
0
0
0
0
0
0
0
0
0
0
0
0.115246
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.008864
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084675
0.140873
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005149
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034663
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.22574
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.182946
0.127865
0
0
0
0
0
0
0
0
0.031597
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.088259
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0.076475
0.098851
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202464
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149563
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080864
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193506
0.025702
0
0
0
0
0
0
0
0
0
0
0
0
0.176155
0
0
0
0
0
0.002717
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.793234
0.171083
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077738
0
0
0
0
0
0
0
0
0
0
0
0
0.118583
0.098565
0
0
0
0
0
0
0
0
0
0
0
0
0.006826
0.100711
0.001028
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.445125
0.192154
0
0
0
0
0
0
0
0
0
0
0
0
0.033623
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.33209
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035107
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034313
0.030357
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.716829
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052041
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.355716
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260462
0.373061
0.069929
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.241327
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04052
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051032
0
0
0
0
0
0
0
0
0.099792
0
0
0.079583
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110539
0
0
0
0
0
0
0
0.044368
0
0
0
0
0
0
0
0.022827
0
0
0
0
0
1
0
0
0
0
0.035977
0.083221
0
0
0
0
0
0
0
0
0
0
0
0
0
0.20675
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.109437
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08929
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.165972
0.028298
0
0
0
0
0
0
0
0
0
0
0
0
0.0665
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.015999
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.334142
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005481
0
0
0
0
0
0
0
0.089623
0
0
0
0
0
0
0
0
0
0
0
0
0.061529
0.075667
0
0
0
0
0
0
0
0
0
0
0
0
0.009619
0.100637
0.004276
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.227644
0.019507
0
0
0
0
0
0
0
0
0
0
0
0
0.050683
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.17012
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.056551
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.443152
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032642
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.157351
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.129283
0.237144
0.047786
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.102792
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000955
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.06277
0
0
0
0
0
0
0
0
0.10822
0
0
0.097867
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.124081
0
0
0
0
0
0
0
0.053144
0
0
0
0
0
0
0
0.027991
0
0
0
0
0
2
0
0
0
0
0.072567
0.097327
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202879
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.145648
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081671
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190817
0.025936
0
0
0
0
0
0
0
0
0
0
0
0
0.165494
0
0
0
0
0
0.00191
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.748815
0.149587
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07885
0
0
0
0
0
0
0
0
0
0
0
0
0.113143
0.09633
0
0
0
0
0
0
0
0
0
0
0
0
0.00708
0.100692
0.00132
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.424267
0.175486
0
0
0
0
0
0
0
0
0
0
0
0
0.035287
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.316537
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037158
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030601
0.026558
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.690339
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05018
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.336522
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.247894
0.359877
0.067739
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.228041
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03675
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052144
0
0
0
0
0
0
0
0
0.100616
0
0
0.081338
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111797
0
0
0
0
0
0
0
0.045219
0
0
0
0
0
0
0
0.023359
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.009964
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.069272
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007115
0
0
0
0
0
0
0
0
0.05518
0.084924
0.043435
0
0.261934
0.077797
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.060052
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.135158
0
0
0
0
0
0
0.066079
0
0
0
0
0.024785
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.109358
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.317582
0.286961
0
0
0
0
0
0
0.014097
0
0
0
0
0
0
0
0.030282
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022016
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189634
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005631
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.292683
0.290377
0
0
0
0
0
0
0
0
0
0
0
0.266336
0
0
0
0
0
0
0
0.0474
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.015798
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031591
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046972
0
0.172465
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027005
0.111471
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.092323
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.31696
0
0
0
0
0
0
0
0
0
0
0
0.007324
0
0
0
0
0
0
0
0
0.048852
0
0
0
0
0
0
0
0
0.047937
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003555
0
0
0
0
0
0
0
0
0.027762
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.059359
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.133612
0
0
0.02813
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040997
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029175
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02871
0
0
0.139458
0.100405
0
0
0
0
0
0
0
0
0
0
0
0
0.086113
0
0
0
0
0
0.026344
0.031011
0
0
0
0
0
0
0.053461
0
0
0
0
0
0
0
0
0
0.014327
0
0
0
0
0
0
0
0
0
0
0
0
0
1