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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.009029
0
0
0.001409
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022998
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046609
0.03918
0
0
0.057475
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.181069
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.073515
0
0
0
0
0
0
0
0
0
0
0
0
0.069238
0.242691
0
0
0
0
0
0
0
0
0
0
0
0
0
0.137927
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002244
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.194755
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034016
0
0
0
0
0
0
0
0
0
0
0
0
0.112312
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.119529
0.189939
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001051
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00084
0
0
0
0
0
0
0
0
0
0
0
0
0
0.136958
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.273272
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.120371
0.217771
0
0
0
0
0
0
0
0
0.083031
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068621
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0.064908
0.094362
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203716
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.13808
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083264
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.185571
0.026408
0
0
0
0
0
0
0
0
0
0
0
0
0.144715
0
0
0
0
0
0.000305
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.662039
0.107573
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081046
0
0
0
0
0
0
0
0
0
0
0
0
0.102366
0.091975
0
0
0
0
0
0
0
0
0
0
0
0
0.007596
0.100699
0.001882
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.383282
0.142841
0
0
0
0
0
0
0
0
0
0
0
0
0.038505
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.285985
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.041173
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.023305
0.019146
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.6386
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04654
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.299076
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.22312
0.334173
0.063483
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.201902
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029271
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.054324
0
0
0
0
0
0
0
0
0.102176
0
0
0.084783
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.114272
0
0
0
0
0
0
0
0.046865
0
0
0
0
0
0
0
0.024333
0
0
0
0
0
0
0
0
0
0
0.069871
0.096282
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203173
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.142986
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082231
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.188973
0.0261
0
0
0
0
0
0
0
0
0
0
0
0
0.15819
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.718304
0.134807
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079619
0
0
0
0
0
0
0
0
0
0
0
0
0.109357
0.0948
0
0
0
0
0
0
0
0
0
0
0
0
0.007257
0.10069
0.001512
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.409873
0.164019
0
0
0
0
0
0
0
0
0
0
0
0
0.036418
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.305806
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038566
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028034
0.023952
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.672147
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048898
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.323364
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.23919
0.350848
0.066243
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.21886
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034123
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052909
0
0
0
0
0
0
0
0
0.101152
0
0
0.082546
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112665
0
0
0
0
0
0
0
0.04579
0
0
0
0
0
0
0
0.023697
0
0
0
0
0
3
0
0
0
0
0.075872
0.098603
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202519
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148928
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080982
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.19309
0.02573
0
0
0
0
0
0
0
0
0
0
0
0
0.174502
0
0
0
0
0
0.0026
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.786366
0.167746
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077893
0
0
0
0
0
0
0
0
0
0
0
0
0.117798
0.098219
0
0
0
0
0
0
0
0
0
0
0
0
0.006848
0.100681
0.00106
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.442024
0.189634
0
0
0
0
0
0
0
0
0
0
0
0
0.03389
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.329772
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035413
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033753
0.029767
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.712732
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051747
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.352759
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.258609
0.371031
0.069586
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.23936
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039981
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051197
0
0
0
0
0
0
0
0
0.099898
0
0
0.079839
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110722
0
0
0
0
0
0
0
0.044478
0
0
0
0
0
0
0
0.022911
0
0
0
0
0
2
0
0
0
0
0.075085
0.098301
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202604
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148136
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081148
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192542
0.025781
0
0
0
0
0
0
0
0
0
0
0
0
0.17233
0
0
0
0
0
0.002436
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.777345
0.163398
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078127
0
0
0
0
0
0
0
0
0
0
0
0
0.116684
0.097762
0
0
0
0
0
0
0
0
0
0
0
0
0.006909
0.100688
0.001134
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.437742
0.186219
0
0
0
0
0
0
0
0
0
0
0
0
0.034228
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.326581
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035837
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032999
0.028995
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.707351
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.348838
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.256036
0.368332
0.06914
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.236635
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039207
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051427
0
0
0
0
0
0
0
0
0.100097
0
0
0.080204
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110983
0
0
0
0
0
0
0
0.044673
0
0
0
0
0
0
0
0.023033
0
0
0
0
0
2
0
0
0
0
0.131719
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.143617
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.143185
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022284
0
0
0
0
0
0
0
0
0.093784
0.056085
0
0
0.179781
0.012317
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.098295
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03396
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.069677
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.019496
0
0
0
0.002751
0
0
0
0
0
0
0
0.157608
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003893
0.022798
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.174226
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.171913
0.069009
0
0
0
0
0
0
0
0
0
0
0
0.099425
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.045667
0
0
0
0
0
0.111922
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.45149
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.241608
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055266
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068419
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.014402
0
0
0
0
0
0
0
0
0
0
0
0.187839
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08058
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013015
0
0
0
0
0
0
0
0
0
0.085038
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08865
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.155318
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.162176
0
0
0.090026
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068933
0
0
0
0
0
0.129579
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05008
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.074273
0.097985
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202692
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147344
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081315
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.191992
0.025828
0
0
0
0
0
0
0
0
0
0
0
0
0.170147
0
0
0
0
0
0.002268
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.768217
0.158962
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078355
0
0
0
0
0
0
0
0
0
0
0
0
0.11555
0.097307
0
0
0
0
0
0
0
0
0
0
0
0
0.006959
0.100685
0.001182
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.433453
0.182803
0
0
0
0
0
0
0
0
0
0
0
0
0.034564
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.323382
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036255
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032229
0.028217
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.701908
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05099
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.344916
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.253434
0.365644
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.233895
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038421
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051654
0
0
0
0
0
0
0
0
0.100238
0
0
0.080563
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111239
0
0
0
0
0
0
0
0.044832
0
0
0
0
0
0
0
0.023124
0
0
0
0
0
3
0
0
0
0
0.07116
0.096782
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203032
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144252
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081964
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.18985
0.026022
0
0
0
0
0
0
0
0
0
0
0
0
0.161667
0
0
0
0
0
0.001615
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.732848
0.14186
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079254
0
0
0
0
0
0
0
0
0
0
0
0
0.111166
0.095527
0
0
0
0
0
0
0
0
0
0
0
0
0.007175
0.100692
0.001426
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.416729
0.169478
0
0
0
0
0
0
0
0
0
0
0
0
0.035881
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.310917
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037897
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029261
0.025193
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.680819
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049511
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.329625
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.243343
0.35514
0.066955
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.223236
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035378
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052546
0
0
0
0
0
0
0
0
0.100911
0
0
0.081973
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112252
0
0
0
0
0
0
0
0.045527
0
0
0
0
0
0
0
0.023545
0
0
0
0
0
3
0
0
0
0
0.070476
0.096539
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
0.143516
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189325
0.02609
0
0
0
0
0
0
0
0
0
0
0
0
0.159607
0
0
0
0
0
0.001461
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.724482
0.137935
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079513
0
0
0
0
0
0
0
0
0
0
0
0
0.110114
0.095081
0
0
0
0
0
0
0
0
0
0
0
0
0.007281
0.100748
0.00158
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.412541
0.16616
0
0
0
0
0
0
0
0
0
0
0
0
0.036205
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.307809
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038334
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02858
0.024471
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.675828
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049202
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.325849
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240886
0.352502
0.066534
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.220604
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034643
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052785
0
0
0
0
0
0
0
0
0.101283
0
0
0.082355
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112523
0
0
0
0
0
0
0
0.045835
0
0
0
0
0
0
0
0.023753
0
0
0
0
0
1
0
0
0
0
0.210683
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.015443
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078054
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.054865
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.205443
0
0
0
0
0
0
0
0.020614
0
0
0
0
0
0.053994
0.107619
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.016549
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049903
0
0
0
0
0
0
0
0.116746
0
0
0
0
0
0.196295
0
0
0
0
0
0
0.147476
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010969
0.036085
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.025276
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.065208
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14167
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110119
0
0
0
0
0
0
0.088506
0
0.239332
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.059194
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.098948
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.161215
0
0
0
0
0
0
0
0
0
0
0
0
0
0.12545
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.123363
0
0
0
0
0
0
0
0
0
0
0
0
0.155295
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.023672
0
0
0
0
0
0
0
0
0.069667
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.025696
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.094926
0
0
0.105958
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.113065
0
0
0
0
0
0
0
0
0
0
0.172684
0
0.009181
0.025744
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202177
0
0
0
0
0
0
0
0
0
0.122158
0
0
0
0
0
0
0
0.03058
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
0.02183
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.104196
0
0
0.042263
0.028079
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.019317
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.057132
0.003331
0
0
0.083022
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.199576
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034079
0
0
0
0
0
0
0
0
0
0
0
0
0
0.187827
0
0
0
0
0
0
0
0
0
0
0
0
0
0.153162
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050685
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.10606
0
0
0
0
0
0
0
0
0
0
0
0
0.142383
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046647
0.077095
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004489
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.172777
0
0
0
0
0
0
0
0
0
0.163591
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.21676
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024042
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.023942
0.148946
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.103298
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
0.098936
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.045189
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.09804
0.085575
0
0
0
0
0
0
0
0
0
0.065688
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.160768
0.007077
0.084905
0
0
0
0
0
0
0
0
0
0
0
0
0.037141
0
0
0
0.031475
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.159289
0
0.138354
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084852
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.226361
0
0
0
0
0
0
0
0
0
0
0
0
0
0.014573
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.213202
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037394
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190651
0
0
0
0.125436
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051421
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147627
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003984
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.271165
0
0
0
0.282182
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112594
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.071635
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.054441
0
0
0
0
0
0
0
0
0
0
0
0
0
0.088577
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.184652
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.070003
0
0.077876
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.267055
0
0
0
0
0.171334
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.197506
0.013994
0
0.123399
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.340571
0
0
0
0
0
0
0
0
0
0.087255
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.078873
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.009824
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.103702
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.092774
0
0
0
0
0
0
0.063329
0
0
0
0
0
0
0.048916
0
0
0
0
0
0
0
0.003388
0
0
0
0
0
0
0.073099
0
0
0
0
0
0
0
0
0
0
0
0
0.097838
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.063127
0
0
0
0
0
0
0.035875
0.040092
0
0
0
0
0
0.172548
0
0
0
0
0
0
0.224711
0
0
0
0
0
0
0
0
0
0
0
0
0
0.015308
0.053855
0
0
0
0
0
0
0.0015
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.073192
0
0
0
0
0
0
0.073866
0
0
0
0
0
0
0
0
0
0
0
0
0
0.145517
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.179734
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.159294
0
0
0
0
0
0.088972
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07527
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.062668
0
0
0
0
0
0
0
0
0
0
0
0
0.020609
0
0
0
0
0
0
0
0
0
0
0
0
0
0.089533
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083858
0
0
0
0
0
0
0
0
0
0
0
0
0.06144
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.009464
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0223
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.216814
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013492
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.094379
0
0
0
0
0
0
0
0.094659
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260255
0
0
0
0
0
0
0
0
0
0
0.171124
0
0
0.055651
0
0
0
0
0
0
0
0
0
0
0
0
0
0.160525
0
0
0
0
0
0
0
0
0
0.101042
0
0
0
0
0
0
0
0.026856
0
0
0
0
0
1
0
0
0.49363
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.322157
0
0
0
0.211797
0
0
0
0
0
0
0
0
0
0
0.125019
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037975
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050953
0
0
0
0
0
0
0
0
0
0.344718
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013414
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.10061
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.018113
0
0
0
0
0
0.059561
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.113676
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05166
0
0
0
0.13129
0
0
0
0
0
0
0
0
0
0
0
0
0
0.129171
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.226213
0.120516
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.31738
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006396
0.197022
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.063081
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021342
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083683
0.018784
0
0
0
0
0
0
0
0
0
0
0.440326
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.118938
0
0
0
0
0
0
0.009157
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.244728
0.074832
0
0
0
0
0
0
0
0
0
0
0
0.107036
0
0
0.04872
0
0
0
0
0
0
0
0
0
0
0
0.041022
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.069235
0.211993
0
0
0
0
0
0
0
0.338876
0
0
0
0
0
0.091741
0.026353
0
0
0
0
0
0
0
0.010022
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.045722
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.098427
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034393
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079448
0
0
0
0
0
0
0
0.023812
0
0
0
0
0
0
0
0
0.017872
0
0
0
0
0.157817
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024312
0
0
0
0
0
0.121764
0
0
0.28509
0
0
0
0
0
0
0
0.059898
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.076103
0.098693
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202494
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149157
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080934
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193248
0.025716
0
0
0
0
0
0
0
0
0
0
0
0
0.17513
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
0.788985
0.169014
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077827
0
0
0
0
0
0
0
0
0
0
0
0
0.118122
0.09835
0
0
0
0
0
0
0
0
0
0
0
0
0.006832
0.100682
0.001043
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.443258
0.190618
0
0
0
0
0
0
0
0
0
0
0
0
0.033793
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.330692
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035292
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033973
0.029991
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.714293
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
0.353889
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.259355
0.371806
0.069715
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240146
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040205
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051131
0
0
0
0
0
0
0
0
0.099852
0
0
0.079735
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110648
0
0
0
0
0
0
0
0.044429
0
0
0
0
0
0
0
0.022881
0
0
0
0
0
1
0
0
0
0
0.075769
0.098564
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202529
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148822
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193017
0.025737
0
0
0
0
0
0
0
0
0
0
0
0
0.174211
0
0
0
0
0
0.002579
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.785168
0.167173
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077926
0
0
0
0
0
0
0
0
0
0
0
0
0.117651
0.098157
0
0
0
0
0
0
0
0
0
0
0
0
0.006858
0.100684
0.001073
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.44145
0.189176
0
0
0
0
0
0
0
0
0
0
0
0
0.033936
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.329344
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035471
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033654
0.029664
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.712017
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051699
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.352232
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.258268
0.370666
0.069526
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.238996
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039879
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051228
0
0
0
0
0
0
0
0
0.099933
0
0
0.079889
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110758
0
0
0
0
0
0
0
0.044509
0
0
0
0
0
0
0
0.022932
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
0.040672
0
0
0
0
0
0
0
0.061988
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.119169
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.06118
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004307
0
0
0
0
0
0.095314
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111654
0
0
0
0
0
0
0
0
0
0
0
0
0.027983
0.133967
0.029885
0
0
0
0
0
0
0
0
0
0
0
0
0.038342
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.058838
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.238843
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.143947
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027957
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.113584
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.093515
0.189886
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040223
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011524
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.191735
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.063858
0
0
0
0
0
0
0.021134
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0576
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.174179
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.164447
0
0
0
0
0
0
0
0
0
0.087441
0
0
0
0
0
0
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
0.075477
0.098449
0
0
0
0
0
0
0
0
0
0
0
0
0
0.20256
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148527
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081064
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192816
0.025754
0
0
0
0
0
0
0
0
0
0
0
0
0.173414
0
0
0
0
0
0.002519
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.781846
0.165563
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078007
0
0
0
0
0
0
0
0
0
0
0
0
0.117249
0.097991
0
0
0
0
0
0
0
0
0
0
0
0
0.006874
0.10068
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
0.439903
0.187935
0
0
0
0
0
0
0
0
0
0
0
0
0.034061
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.32819
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035623
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033377
0.02938
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.710036
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051559
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.350799
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.257335
0.369683
0.069362
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.23801
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0396
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051311
0
0
0
0
0
0
0
0
0.09999
0
0
0.080018
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110851
0
0
0
0
0
0
0
0.044569
0
0
0
0
0
0
0
0.02297
0
0
0
0
0
2
0
0
0
0
0.070028
0.096341
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203155
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.143139
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082197
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189081
0.026089
0
0
0
0
0
0
0
0
0
0
0
0
0.158617
0
0
0
0
0
0.001379
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.720087
0.135668
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079572
0
0
0
0
0
0
0
0
0
0
0
0
0.109583
0.09489
0
0
0
0
0
0
0
0
0
0
0
0
0.007245
0.100687
0.001498
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.410728
0.164696
0
0
0
0
0
0
0
0
0
0
0
0
0.036353
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.306442
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038483
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028185
0.024104
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.67321
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048972
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.324136
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.239708
0.351378
0.06633
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.219405
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03428
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052863
0
0
0
0
0
0
0
0
0.101117
0
0
0.082474
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112613
0
0
0
0
0
0
0
0.045753
0
0
0
0
0
0
0
0.023677
0
0
0
0
0
0
0
0
0
0
0.017679
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.100184
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082923
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.092975
0.077927
0
0
0.133227
0.026744
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.059844
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.020092
0
0
0.051638
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190042
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033626
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067666
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.026839
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.115844
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013876
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027738
0
0
0
0
0
0
0
0.082081
0
0
0
0
0
0
0
0.155139
0
0
0
0
0
0
0
0
0
0
0
0
0.034012
0
0
0
0
0
0
0.098654
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028995
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030771
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004687
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006144
0
0
0
0
0.090101
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046504
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.18197
0
0
0.123388
0
0
0
0
0
0
0.241389
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.065674
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.044425
0.020823
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022421
0
0.060561
0
0
0
0
0
0
0
0
0
0
0
0
0
0.175225
0
0
0
0
0
0
0
0
0
0.11737
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.075583
0.098492
0
0
0
0
0
0
0
0
0
0
0
0
0
0.20255
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148642
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081042
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192892
0.025748
0
0
0
0
0
0
0
0
0
0
0
0
0.173716
0
0
0
0
0
0.00254
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.78309
0.166161
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077976
0
0
0
0
0
0
0
0
0
0
0
0
0.117392
0.098054
0
0
0
0
0
0
0
0
0
0
0
0
0.006868
0.100682
0.001082
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.440476
0.1884
0
0
0
0
0
0
0
0
0
0
0
0
0.034012
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.328618
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035565
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033477
0.029487
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.710778
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05161
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.351343
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.257675
0.370058
0.069425
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.238373
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039699
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051279
0
0
0
0
0
0
0
0
0.09996
0
0
0.079969
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110816
0
0
0
0
0
0
0
0.044542
0
0
0
0
0
0
0
0.022949
0
0
0
0
0
2
0
0
0
0
0.075464
0.098447
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202563
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148514
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081068
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192803
0.025757
0
0
0
0
0
0
0
0
0
0
0
0
0.173368
0
0
0
0
0
0.002515
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.781664
0.165484
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078017
0
0
0
0
0
0
0
0
0
0
0
0
0.117219
0.09798
0
0
0
0
0
0
0
0
0
0
0
0
0.006881
0.100686
0.001102
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.439787
0.187849
0
0
0
0
0
0
0
0
0
0
0
0
0.034067
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.328105
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035636
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033361
0.029364
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.709927
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051555
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.350709
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.257268
0.369617
0.069353
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.237938
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039578
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051318
0
0
0
0
0
0
0
0
0.10001
0
0
0.080031
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110859
0
0
0
0
0
0
0
0.044585
0
0
0
0
0
0
0
0.022979
0
0
0
0
0
3
0
0
0
0
0.019477
0.077018
0
0
0
0
0
0
0
0
0
0
0
0
0
0.208179
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.093109
0
0
0
0
0
0
0
0
0
0
0
0
0
0.092625
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.154979
0.029268
0
0
0
0
0
0
0
0
0
0
0
0
0.022892
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040348
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14523
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.014479
0
0
0
0
0
0
0
0.094445
0
0
0
0
0
0
0
0
0
0
0
0
0.038468
0.06674
0
0
0
0
0
0
0
0
0
0
0
0
0.010673
0.100419
0.005706
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.13798
0
0
0
0
0
0
0
0
0
0
0
0
0
0.057634
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.104141
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.065146
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.331004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024347
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.076384
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.076277
0.182377
0.03918
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046292
0
0
0
0
0
0
0.004205
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067603
0
0
0
0
0
0
0
0
0.11164
0
0
0.105265
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.129627
0
0
0
0
0
0
0
0.056622
0
0
0
0
0
0
0
0.030018
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.165457
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.235311
0.012937
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.158458
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.297614
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.164643
0
0
0
0
0
0
0.289201
0.264202
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.089168
0
0
0
0
0
0
0.087355
0
0.11139
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.086794
0
0
0
0
0
0.204194
0
0
0
0
0
0
0
0
0.04448
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002361
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083662
0
0
0
0.188495
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055601
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034659
0.139606
0
0
0
0
0
0
0
0
0
0
0
0
0.00123
0
0
0
0
0
0
0
0
0
0
0
0
0
0.165733
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.234926
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011291
0.060796
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021467
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.286192
0
0
0.034095
0.054449
0
0.000748
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.15386
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001326
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.057556
0
0
0
0
0
0
0
0
0
0.195364
0
0
0
0
0
0
0
0
0
0.000449
0
0
0
0
0
0
0
0
0
0
0
0
0
0.015107
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.094398
0
0
0
0
0
0
0
0
0
0
0
0
0
0.138061
0
0
0
0
0
0
0
0.105637
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.119196
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04617
0
0.089814
0
0
0.182757
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.254013
0
0.051311
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04432
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.165791
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.075864
0.098601
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202519
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148917
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080984
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193083
0.025731
0
0
0
0
0
0
0
0
0
0
0
0
0.174474
0
0
0
0
0
0.002599
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.786258
0.167698
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077897
0
0
0
0
0
0
0
0
0
0
0
0
0.117787
0.098213
0
0
0
0
0
0
0
0
0
0
0
0
0.00685
0.100682
0.001064
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.441969
0.189589
0
0
0
0
0
0
0
0
0
0
0
0
0.033895
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.329731
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035419
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033745
0.029757
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.712667
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051744
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.352706
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25858
0.370993
0.06958
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.239326
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039973
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051201
0
0
0
0
0
0
0
0
0.099908
0
0
0.079844
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110726
0
0
0
0
0
0
0
0.044485
0
0
0
0
0
0
0
0.022916
0
0
0
0
0
2
0
0
0
0
0.059404
0.09223
0
0
0
0
0
0
0
0
0
0
0
0
0
0.204315
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.132608
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084409
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.181787
0.02675
0
0
0
0
0
0
0
0
0
0
0
0
0.129726
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.599505
0.077305
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08263
0
0
0
0
0
0
0
0
0
0
0
0
0.094629
0.088832
0
0
0
0
0
0
0
0
0
0
0
0
0.007972
0.100702
0.002305
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.353763
0.11931
0
0
0
0
0
0
0
0
0
0
0
0
0.040834
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.263979
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.044074
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.018061
0.013802
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.601315
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.043924
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.272059
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.205303
0.315618
0.06041
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.183088
0
0
0
0
0
0
0
0
0
0
0
0
0
0.023902
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0.103335
0
0
0.08727
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.116061
0
0
0
0
0
0
0
0.048068
0
0
0
0
0
0
0
0.025055
0
0
0
0
0
2
0
0
0
0
0.071041
0.096735
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203044
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144143
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081987
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189776
0.026027
0
0
0
0
0
0
0
0
0
0
0
0
0.161366
0
0
0
0
0
0.001592
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.731568
0.141223
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079283
0
0
0
0
0
0
0
0
0
0
0
0
0.111005
0.095466
0
0
0
0
0
0
0
0
0
0
0
0
0.007178
0.100689
0.001423
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.416145
0.169013
0
0
0
0
0
0
0
0
0
0
0
0
0.035925
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.31048
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037952
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02915
0.025086
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.680055
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049455
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.329091
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.242979
0.354779
0.066892
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.222858
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035267
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052575
0
0
0
0
0
0
0
0
0.10091
0
0
0.082019
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112285
0
0
0
0
0
0
0
0.045535
0
0
0
0
0
0
0
0.023546
0
0
0
0
0
3
0
0
0
0
0.074432
0.09805
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202675
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147485
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081286
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192089
0.025823
0
0
0
0
0
0
0
0
0
0
0
0
0.170535
0
0
0
0
0
0.002299
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.769884
0.159795
0
0
0
0
0
0
0
0
0
0
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
0.115759
0.097385
0
0
0
0
0
0
0
0
0
0
0
0
0.006959
0.100694
0.001191
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.434202
0.183399
0
0
0
0
0
0
0
0
0
0
0
0
0.034506
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.323942
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036187
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032375
0.028357
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.702901
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051067
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.345602
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.253904
0.366105
0.068772
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.234381
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038565
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051617
0
0
0
0
0
0
0
0
0.100252
0
0
0.080505
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111198
0
0
0
0
0
0
0
0.044829
0
0
0
0
0
0
0
0.023129
0
0
0
0
0
2
0
0
0.504076
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.341809
0
0
0
0.228907
0
0
0
0
0
0
0
0
0
0
0.130276
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.018742
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07785
0
0
0
0
0
0
0
0
0
0.343692
0
0
0
0
0
0
0
0
0
0.000244
0
0
0
0
0
0
0
0
0
0.03413
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.100152
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010708
0
0
0
0
0
0.051974
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.103005
0
0
0
0
0
0
0
0
0
0
0
0
0
0.044893
0
0
0
0.130422
0
0
0
0
0
0
0
0
0
0
0
0
0
0.146243
0
0
0
0.007438
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.242486
0.140687
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.328179
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039984
0.220506
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052686
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.018293
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037257
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078552
0.017867
0
0
0
0
0
0
0
0
0
0
0.4557
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.020019
0
0
0
0
0
0
0
0
0.121915
0
0
0
0
0
0
0.027781
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.268719
0.095574
0
0
0
0
0
0
0
0
0
0
0
0.075138
0
0
0.046378
0
0
0
0
0
0
0
0
0
0
0
0.063231
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084262
0.215514
0
0
0
0
0
0
0
0.337752
0
0
0
0
0
0.107015
0.032638
0
0
0
0
0
0
0
0.014747
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033571
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.116893
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032893
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084294
0
0
0
0
0
0
0
0.024456
0
0
0
0
0
0
0
0
0.016813
0
0
0
0
0.16625
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021051
0
0
0
0
0
0.125459
0
0
0.292188
0
0
0
0
0
0
0
0.059735
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.073864
0
0
0.169504
0.129125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.091244
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037503
0
0
0
0.069332
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.27032
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031147
0
0
0
0
0
0
0
0
0
0
0
0
0
0.227289
0
0
0
0
0
0
0
0
0
0
0
0
0
0.15807
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007649
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.109974
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067769
0
0
0
0
0
0
0
0
0
0
0
0
0.120547
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.086358
0.132926
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.014568
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002458
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000924
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080111
0
0
0
0
0
0
0
0
0
0
0
0
0
0.106686
0
0
0.030695
0
0
0
0
0
0
0.195267
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.075699
0.000171
0
0
0
0
0
0
0
0
0
0
0.252795
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022273
0
0
0
0
0
0
0
0
0.059844
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.088023
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0.043857
0.086216
0
0
0
0
0
0
0
0
0
0
0
0
0
0.205965
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.117201
0
0
0
0
0
0
0
0
0
0
0
0
0
0.087642
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.171219
0.027747
0
0
0
0
0
0
0
0
0
0
0
0
0.087621
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004214
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.423438
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001092
0
0
0
0
0
0
0
0.087183
0
0
0
0
0
0
0
0
0
0
0
0
0.072752
0.080029
0
0
0
0
0
0
0
0
0
0
0
0
0.009027
0.100662
0.003543
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.270454
0.053106
0
0
0
0
0
0
0
0
0
0
0
0
0.047384
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.201873
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052314
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00325
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.496335
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036488
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.195989
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.154986
0.263453
0.051904
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.129971
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00872
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.060403
0
0
0
0
0
0
0
0
0.106526
0
0
0.094276
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.121278
0
0
0
0
0
0
0
0.051402
0
0
0
0
0
0
0
0.027007
0
0
0
0
0
0
0
0
0
0
0.017735
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.02267
0
0
0
0
0
0
0
0
0.021419
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.184529
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.122983
0.083504
0
0.114989
0.011492
0
0
0
0
0
0
0
0
0
0
0
0
0
0.043699
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.056849
0.110014
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07271
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147925
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125141
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.016737
0
0
0
0
0.008056
0
0
0
0
0
0
0
0
0
0
0.076478
0
0
0
0
0
0
0.046141
0
0
0
0
0
0
0
0
0
0
0
0
0
0.10034
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.097279
0
0
0
0
0
0
0
0
0
0
0
0
0.121072
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.091729
0
0
0
0
0
0.207893
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050166
0
0
0
0
0
0
0
0
0
0
0
0
0.019607
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005615
0
0.02868
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00861
0
0
0
0.103768
0
0
0
0
0
0
0
0
0.108662
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.01176
0
0
0.062364
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082638
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081103
0
0
0.000902
0
0
0
0
0
0
0.06683
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004845
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022337
0
0
0
0
0
0
0
0
0.075993
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040402
0
0
0
0
0
0.03832
0
0
0
0
0
0.147415
0
0.149288
0
0
0
0
0
0
0
0
0
0.007558
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.074653
0.12041
0
0
0
0
0
0
0
0
0
0
0
0
0
0.015071
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.108351
0
0
0
0
0
0
0
0
0
0
0
0
0
0.128892
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.286225
0
0
0
0
0
0
0
0
0
0
0
0
0.062474
0.214176
0
0
0
0
0
0.013142
0
0
0
0
0
0
0
0.008324
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003088
0
0
0
0
0
0
0.106794
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004433
0
0
0
0
0
0
0
0.087132
0
0
0
0
0
0
0
0
0
0
0
0
0.080684
0
0
0
0
0
0
0
0
0
0
0
0
0
0.054723
0.184518
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.253831
0
0
0
0
0
0
0
0.166396
0
0
0
0
0
0.0516
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.016722
0.188178
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064587
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.062403
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.133255
0
0
0
0
0
0
0
0.113406
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.095596
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.074129
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.10981
0
0
0
0
0
0
0
0
0
0
0
0
0
0.047637
0
0
0
0
0
0
0
0.17203
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.098786
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.099144
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.10543
0
0
0
0
0
0
0
0
0
0.124911
0
0
0.127095
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067551
0
0
0
0
0
0
0
0.033777
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
0.170853
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.075402
0
0
0
0
0
0
0
0
0
0
0
0
0
0.168403
0.171723
0
0
0
0
0
0
0
0
0
0
0
0.113024
0
0
0
0
0
0
0
0
0
0
0.074308
0
0
0
0
0
0
0
0.006576
0.219682
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002422
0
0
0
0
0
0
0
0.15208
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030924
0.125463
0
0
0
0
0
0
0
0
0
0
0
0
0
0.054236
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147668
0
0.126822
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077627
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002917
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04318
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.070078
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.01131
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05211
0
0
0
0
0
0
0
0
0
0
0
0
0.066692
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.228302
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007796
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084384
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002227
0
0
0
0
0
0
0
0
0
0
0
0
0
0.127026
0
0
0
0
0.03404
0
0
0
0
0
0
0.091242
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031352
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001141
0.048448
0
0
0.239166
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.156942
0.08957
0
0.036012
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.066321
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.070823
0.096664
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203066
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.143836
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
0.189562
0.026062
0
0
0
0
0
0
0
0
0
0
0
0
0.160541
0
0
0
0
0
0.00154
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.728397
0.13982
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079401
0
0
0
0
0
0
0
0
0
0
0
0
0.110642
0.095277
0
0
0
0
0
0
0
0
0
0
0
0
0.007245
0.100727
0.001544
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.414486
0.167677
0
0
0
0
0
0
0
0
0
0
0
0
0.036067
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.309253
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038144
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028919
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
0.678162
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049361
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.327547
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.242072
0.353669
0.066723
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.22185
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035013
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052681
0
0
0
0
0
0
0
0
0.101195
0
0
0.082188
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112403
0
0
0
0
0
0
0
0.045744
0
0
0
0
0
0
0
0.023709
0
0
0
0
0
0
0
0
0
0
0.087549
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055449
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111451
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.060244
0.068043
0
0
0
0
0
0
0
0
0
0.00573
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.009491
0
0
0
0
0
0
0.114269
0
0
0
0
0
0
0
0
0
0
0
0
0.031735
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.127472
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007937
0
0
0
0.062042
0
0
0
0
0
0
0
0
0
0
0
0
0.129498
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.069348
0
0
0
0
0
0
0.101274
0
0
0
0
0
0
0.044267
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048095
0
0
0
0
0
0
0
0
0.127482
0
0
0
0.206246
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029008
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.10769
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.129039
0
0
0
0.228633
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.145268
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.09394
0
0
0
0.128786
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.025862
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.214448
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013822
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055494
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017236
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.18569
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040224
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005566
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.238953
0
0
0
0
0.094489
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.2135
0.087966
0
0.074887
0
0
0
0
0
0
0
0
0
0
0
0
0
0.115004
0
0
0
0
0
0.057255
0
0
0
0
0
0
0.05225
0.083248
0
0
0
0
0
0
0
0
0
0.051761
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
0.032748
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.071104
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040576
0
0
0
0.082789
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.097457
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031716
0
0
0
0
0
0
0
0
0
0
0
0
0.003012
0.193665
0
0
0
0
0
0
0
0
0
0
0
0
0
0.119019
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.065302
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.094249
0
0
0
0
0
0
0
0
0
0
0
0
0.133253
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039656
0.072338
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011517
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003449
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055298
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192828
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.162145
0.122573
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.101092
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0.127827
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.389291
0
0
0
0
0
0
0.024542
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.295483
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.115565
0
0.123553
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004784
0
0
0
0
0
0
0
0
0
0.256587
0
0
0
0
0
0
0
0
0
0.204775
0
0
0
0
0
0
0
0
0
0.049374
0
0
0
0
0
0
0
0
0
0
0.027114
0
0
0
0
0.067493
0
0.098185
0
0
0
0
0
0
0
0
0
0
0
0.033425
0
0
0
0
0.024168
0
0
0
0
0
0.05198
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.091415
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05508
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000135
0
0
0
0.344553
0
0
0
0
0
0
0
0
0
0.168674
0
0
0
0
0.224168
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.243074
0.129951
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.182326
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.088748
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022164
0.182874
0
0
0
0
0.02002
0
0
0
0
0
0.055093
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.168227
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.115568
0
0
0
0
0
0
0
0
0.07143
0
0
0
0
0
0
0
0
0
0.281905
0
0
0
0
0
0
0
0
0.041136
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.157974
0
0.098967
0
0
0
0
0
0
0
0
0
0
0
0
0
0.01242
0
0.040376
0.111662
0
0
0
0
0
0.042883
0
0
0
0
0
0.051324
0
0
0
0.007059
0
0
0
0
0.113474
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.245989
0
0.261761
0.045059
0
0
0
0
0.133642
0
0
0
0
0
0
0.137646
0
0
0
0
0
0
0
0
0
0
0
0.039562
0
0
0.032586
0
0
0
0
0
0.198818
0
0
0
0
0
0
0
0
0
0
0
0
0.019243
0
0.155313
0.041973
0
0
0
0
0
0
0
0.041582
0
0
0
0
0
0.063848
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064496
0
0
0
0
0
0
0
0
0
0
0
0
0
0.01878
0
0
0
0
0
0
0
0.05491
0
0
0
0
0
0
0
0
0
0
0.089545
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.165902
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.17233
0.037498
0
0
0
0
0
0
0
0
0.01723
0.015535
0
0
0
0
0
0
0
0
0
0
0
0.155378
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.056909
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.108897
0
0
0
0
0
0.320811
0
0
0
0
0
0
0.024739
0
0
0.007022
0
0
0
0
0.013787
0.096224
0
0
0
0
0
0.002127
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.008733
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.074346
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.140486
0.095806
0.012907
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.26516
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082226
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067464
0
0
0
0
0
0
0
0
0
0
0
0
0.10267
0.069854
0
0
0
0
0
0
0
0
0
0
0
0
0
0.091288
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.140537
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.289922
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0902
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055775
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.126207
0.040739
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.106293
0
0
0
0.041127
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000141
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024105
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039642
0
0
0
0
0
0
0
0
0
0
0
0
0
0.097707
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017213
0
0
0.042996
0.017518
0
0
0
0
0
0
0
0
0
0
0.255543
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.204962
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112834
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0.041795
0.08542
0
0
0
0
0
0
0
0
0
0
0
0
0
0.206168
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.115156
0
0
0
0
0
0
0
0
0
0
0
0
0
0.088069
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.169849
0.027888
0
0
0
0
0
0
0
0
0
0
0
0
0.082084
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007269
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.400195
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002227
0
0
0
0
0
0
0
0.087815
0
0
0
0
0
0
0
0
0
0
0
0
0.069849
0.078879
0
0
0
0
0
0
0
0
0
0
0
0
0.009168
0.100639
0.003723
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.2594
0.044378
0
0
0
0
0
0
0
0
0
0
0
0
0.048252
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193631
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.053416
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001286
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.482475
0
0
0
0
0
0
0
0
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
0.185927
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148311
0.256573
0.050827
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.122923
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006705
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.061018
0
0
0
0
0
0
0
0
0.10695
0
0
0.095204
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.122006
0
0
0
0
0
0
0
0.051842
0
0
0
0
0
0
0
0.027262
0
0
0
0
0
2
0
0
0
0
0.069742
0.096231
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203186
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.142861
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082256
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.188888
0.026107
0
0
0
0
0
0
0
0
0
0
0
0
0.157851
0
0
0
0
0
0.001319
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.716875
0.134109
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079652
0
0
0
0
0
0
0
0
0
0
0
0
0.109181
0.09473
0
0
0
0
0
0
0
0
0
0
0
0
0.007263
0.100687
0.001516
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.409211
0.16349
0
0
0
0
0
0
0
0
0
0
0
0
0.03647
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.305312
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03863
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027913
0.02383
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.671296
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048836
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.322756
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.238786
0.350432
0.066173
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.218435
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034001
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052943
0
0
0
0
0
0
0
0
0.101167
0
0
0.0826
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112704
0
0
0
0
0
0
0
0.045809
0
0
0
0
0
0
0
0.023708
0
0
0
0
0
0
0
0
0
0
0.072795
0.097416
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202856
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.145892
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081623
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190982
0.02592
0
0
0
0
0
0
0
0
0
0
0
0
0.166146
0
0
0
0
0
0.001957
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.751497
0.15087
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07878
0
0
0
0
0
0
0
0
0
0
0
0
0.113462
0.096469
0
0
0
0
0
0
0
0
0
0
0
0
0.00706
0.100691
0.001291
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.425533
0.176505
0
0
0
0
0
0
0
0
0
0
0
0
0.035182
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.317481
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037029
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030819
0.026789
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.69194
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050288
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.337702
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.248644
0.360694
0.067874
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.228841
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036971
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052074
0
0
0
0
0
0
0
0
0.100539
0
0
0.081229
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111718
0
0
0
0
0
0
0
0.045151
0
0
0
0
0
0
0
0.023311
0
0
0
0
0
2
0
0
0
0
0.050443
0.088762
0
0
0
0
0
0
0
0
0
0
0
0
0
0.205296
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.123736
0
0
0
0
0
0
0
0
0
0
0
0
0
0.086275
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.175641
0.027311
0
0
0
0
0
0
0
0
0
0
0
0
0.105378
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.497848
0.027942
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085205
0
0
0
0
0
0
0
0
0
0
0
0
0.082018
0.083729
0
0
0
0
0
0
0
0
0
0
0
0
0.00858
0.100712
0.002989
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.305754
0.081062
0
0
0
0
0
0
0
0
0
0
0
0
0.04461
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.22819
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048807
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.009525
0.005118
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.540704
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039666
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.228177
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.176301
0.285491
0.055419
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.152476
0
0
0
0
0
0
0
0
0
0
0
0
0
0.015151
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.058464
0
0
0
0
0
0
0
0
0.10517
0
0
0.091309
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.119004
0
0
0
0
0
0
0
0.049991
0
0
0
0
0
0
0
0.026182
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.059143
0
0
0.014696
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.008785
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051217
0.025285
0
0
0.062248
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.212926
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035887
0
0
0
0
0
0
0
0
0
0
0
0
0.045069
0.232079
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144166
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005828
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.162448
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055544
0
0
0
0
0
0
0
0
0
0
0
0
0.120585
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.087996
0.140011
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004101
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147448
0
0
0
0
0
0
0
0
0
0.063457
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.246498
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000582
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.095225
0.184868
0
0
0
0
0
0
0
0
0.055181
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083765
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0.127951
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.501058
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.170967
0
0
0
0
0
0
0
0
0
0
0
0
0
0.173711
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.117613
0
0
0
0
0
0
0
0
0.141329
0.05947
0
0
0.255819
0.112198
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.070816
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000719
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125386
0
0
0
0
0
0
0.150521
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.015225
0
0
0
0
0
0
0.001206
0
0
0
0
0
0
0
0.047301
0
0
0
0
0
0
0
0
0
0
0
0.157983
0.52351
0
0
0
0
0
0
0.103943
0
0
0
0
0
0
0.079224
0.133366
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.059565
0
0
0
0
0
0
0.160644
0
0
0
0
0
0
0
0
0
0
0
0
0.054641
0.022559
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017381
0
0
0.275427
0.430153
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002699
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022717
0
0
0
0
0
0
0
0
0
0
0
0
0.049515
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240434
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.137268
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010194
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.176049
0
0
0
0.507172
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017839
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.136219
0
0
0
0
0
0
0
0.034833
0
0
0
0
0
0
0
0
0.003784
0.040024
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.151947
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.020145
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.221236
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013826
0
0
0.11236
0.14076
0
0
0
0
0
0
0
0
0
0
0
0
0.083175
0
0
0
0
0
0
0.143453
0
0
0
0
0
0
0.089821
0
0
0
0
0
0
0
0
0
0.047303
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.070115
0.096379
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203145
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.143203
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082183
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189124
0.02609
0
0
0
0
0
0
0
0
0
0
0
0
0.158794
0
0
0
0
0
0.001396
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.720894
0.136092
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079562
0
0
0
0
0
0
0
0
0
0
0
0
0.10969
0.094923
0
0
0
0
0
0
0
0
0
0
0
0
0.007253
0.100698
0.001519
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.411065
0.164961
0
0
0
0
0
0
0
0
0
0
0
0
0.036328
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.306696
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038457
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028262
0.02417
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.67369
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049016
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.324439
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.239934
0.351573
0.066366
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.219632
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034353
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05285
0
0
0
0
0
0
0
0
0.101161
0
0
0.082453
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112597
0
0
0
0
0
0
0
0.045776
0
0
0
0
0
0
0
0.0237
0
0
0
0
0
0
0
0
0
0
0.075152
0.098327
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202597
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148206
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081134
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192589
0.025777
0
0
0
0
0
0
0
0
0
0
0
0
0.172519
0
0
0
0
0
0.002449
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.778123
0.163771
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078107
0
0
0
0
0
0
0
0
0
0
0
0
0.116778
0.097802
0
0
0
0
0
0
0
0
0
0
0
0
0.006903
0.100688
0.001126
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.438109
0.186514
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
0.326855
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0358
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033063
0.029062
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.707815
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051407
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.349179
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.256255
0.368567
0.069179
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.236868
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039272
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051407
0
0
0
0
0
0
0
0
0.100076
0
0
0.080172
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110961
0
0
0
0
0
0
0
0.044654
0
0
0
0
0
0
0
0.02302
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
0.033312
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.066891
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.01151
0
0
0
0.007878
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.062663
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125405
0.112794
0.023383
0
0
0
0
0
0
0
0
0
0
0
0
0.035816
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.22323
0
0
0
0
0
0
0
0
0
0
0
0
0.059156
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.165932
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021618
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034822
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0559
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.118941
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.122869
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03111
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.01024
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000951
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.109198
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.187893
0.122312
0
0.133549
0
0
0
0
0
0
0.059223
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.066226
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.072866
0.097461
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202843
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.145823
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081629
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190938
0.025944
0
0
0
0
0
0
0
0
0
0
0
0
0.166
0
0
0
0
0
0.001966
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.751292
0.150954
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078837
0
0
0
0
0
0
0
0
0
0
0
0
0.113494
0.096415
0
0
0
0
0
0
0
0
0
0
0
0
0.007127
0.100741
0.001434
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.425233
0.176234
0
0
0
0
0
0
0
0
0
0
0
0
0.035226
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.317268
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037102
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030856
0.026755
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.691811
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050337
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.337362
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.248603
0.360387
0.067841
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.228722
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036991
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052116
0
0
0
0
0
0
0
0
0.100868
0
0
0.081296
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111761
0
0
0
0
0
0
0
0.045365
0
0
0
0
0
0
0
0.023498
0
0
0
0
0
2
0
0
0
0
0.005808
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084762
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.043632
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051809
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000731
0.034052
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029685
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.057699
0
0
0.010215
0
0
0
0.052844
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.018847
0
0
0
0
0
0
0
0
0
0
0
0
0
0.105279
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.043739
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.008166
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.146877
0
0
0
0
0
0
0
0.073023
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083044
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.044317
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068201
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038763
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004027
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005128
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.073054
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.171631
0.023024
0
0.013269
0
0
0
0
0
0
0
0
0
0
0
0
0
0.120348
0
0
0
0
0
0
0
0
0
0.107521
0
0
0
0
0
0
0
0.004482
0
0
0
0
0
3
0
0
0
0
0.076148
0.09872
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202487
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149136
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080936
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193234
0.025728
0
0
0
0
0
0
0
0
0
0
0
0
0.175087
0
0
0
0
0
0.002654
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.789002
0.169113
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077854
0
0
0
0
0
0
0
0
0
0
0
0
0.118148
0.09833
0
0
0
0
0
0
0
0
0
0
0
0
0.006866
0.100708
0.001114
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.443156
0.190525
0
0
0
0
0
0
0
0
0
0
0
0
0.033809
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.330622
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035323
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034
0.029984
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.714301
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051886
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.353772
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.259361
0.371691
0.069705
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240116
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040221
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051149
0
0
0
0
0
0
0
0
0.100012
0
0
0.079764
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110667
0
0
0
0
0
0
0
0.044533
0
0
0
0
0
0
0
0.022971
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037075
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010086
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.061532
0
0
0
0
0.114311
0.094842
0.13667
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.113868
0.053567
0.040626
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.058143
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.12745
0.038917
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.204541
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.119009
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0064
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024209
0
0
0
0
0
0
0.075376
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.076008
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.114296
0
0
0
0.331282
0
0
0
0
0
0
0
0
0
0
0
0
0
0.099061
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.104454
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048053
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006002
0
0.002249
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.008108
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.130018
0.035377
0
0
0
0.227894
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022764
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.123441
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.012493
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.093123
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.072998
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.168575
0
0.001008
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.06661
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.164139
0
0
0
0
0.020723
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.168791
0.096337
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068459
0
0
0
0
0
0
0
0
0
0
0
0
0.144496
0.222704
0
0
0
0
0
0
0
0
0
0.028785
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
0.114204
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.089946
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082019
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.06427
0
0
0
0
0
0
0.026867
0
0
0
0
0
0
0.145388
0
0
0
0
0
0.021851
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011059
0
0
0
0
0
0
0.079454
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.076508
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0.160091
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006757
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.138941
0
0
0
0
0
0
0
0
0
0
0
0
0
0.012087
0
0
0
0
0
0
0.105017
0
0
0
0
0
0
0
0
0
0
0
0
0
0.041133
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.164128
0.110813
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.071597
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.106894
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079269
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.145071
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029562
0
0.015466
0
0
0
0
0.011279
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002942
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017262
0
0
0
0
0
0.186018
0
0.089378
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.073283
0
0
0
0
0
0.052441
0
0
0
0
0
0
0.003313
0
0
0
0.150673
0
0
0.156867
0
0
0
0
0
0
0
0
0
0
0
0
0
0.069769
0
0
0
0
0
0
0
0
0
0.077776
0
0
0
0
0
0
0
0.002917
0
0
0
0
0
1
0
0
0
0
0.071756
0.097015
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202964
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144815
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081844
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190243
0.02599
0
0
0
0
0
0
0
0
0
0
0
0
0.163223
0
0
0
0
0
0.001741
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.739424
0.145069
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079096
0
0
0
0
0
0
0
0
0
0
0
0
0.111997
0.09585
0
0
0
0
0
0
0
0
0
0
0
0
0.007147
0.100699
0.001405
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.419813
0.171925
0
0
0
0
0
0
0
0
0
0
0
0
0.035643
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.313217
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037603
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029825
0.025753
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.684737
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049798
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.332422
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.24523
0.357047
0.067271
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.225216
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035956
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052386
0
0
0
0
0
0
0
0
0.100845
0
0
0.081721
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112069
0
0
0
0
0
0
0
0.045435
0
0
0
0
0
0
0
0.023501
0
0
0
0
0
2
0
0
0
0
0.07605
0.098674
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202499
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14909
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080947
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193202
0.025722
0
0
0
0
0
0
0
0
0
0
0
0
0.17495
0
0
0
0
0
0.002637
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.788278
0.168692
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077851
0
0
0
0
0
0
0
0
0
0
0
0
0.11804
0.09831
0
0
0
0
0
0
0
0
0
0
0
0
0.006844
0.100687
0.001063
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.442902
0.19033
0
0
0
0
0
0
0
0
0
0
0
0
0.033823
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.330428
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035332
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033919
0.029929
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.713871
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051834
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.353556
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.259155
0.37157
0.069677
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.239927
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040148
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051153
0
0
0
0
0
0
0
0
0.0999
0
0
0.079769
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110672
0
0
0
0
0
0
0
0.044465
0
0
0
0
0
0
0
0.022909
0
0
0
0
0
3
0
0
0
0
0.075512
0.098467
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202557
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148553
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08106
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.19283
0.025756
0
0
0
0
0
0
0
0
0
0
0
0
0.173475
0
0
0
0
0
0.002524
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.782141
0.165728
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078009
0
0
0
0
0
0
0
0
0
0
0
0
0.11728
0.098001
0
0
0
0
0
0
0
0
0
0
0
0
0.006884
0.10069
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
0.439994
0.188013
0
0
0
0
0
0
0
0
0
0
0
0
0.034052
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.32826
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035618
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033405
0.029404
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.710211
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051579
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.350897
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.257403
0.369741
0.069375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.238075
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039621
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051309
0
0
0
0
0
0
0
0
0.100025
0
0
0.080016
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110849
0
0
0
0
0
0
0
0.044591
0
0
0
0
0
0
0
0.022987
0
0
0
0
0
2
0
0
0
0
0.076469
0.098846
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202451
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149443
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
0.193446
0.025711
0
0
0
0
0
0
0
0
0
0
0
0
0.175931
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
0.79256
0.170851
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077769
0
0
0
0
0
0
0
0
0
0
0
0
0.118593
0.098505
0
0
0
0
0
0
0
0
0
0
0
0
0.006851
0.100713
0.001102
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.444816
0.191846
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
0.331861
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035164
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034303
0.030287
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.716422
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05204
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.355287
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260375
0.372724
0.069878
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.241181
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04053
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051063
0
0
0
0
0
0
0
0
0.099975
0
0
0.079628
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110569
0
0
0
0
0
0
0
0.044483
0
0
0
0
0
0
0
0.022946
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
0.228304
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07498
0.036282
0
0
0
0
0
0
0
0
0
0.218825
0.007162
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.121751
0
0.05516
0
0
0
0
0.128867
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05369
0
0
0
0
0.015421
0
0
0.06226
0.160577
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.025048
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.101477
0
0
0
0
0
0
0
0
0.103854
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079282
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040373
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040804
0
0
0
0
0
0
0
0
0
0
0
0
0
0.016037
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.092782
0
0
0
0.057315
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.076063
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.066851
0
0
0.005216
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046787
0
0
0
0
0
0
0
0
0
0
0
0
0
0.168871
0
0
0
0.118689
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027544
0
0.010857
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.114699
0.149196
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001418
0
0.004298
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.014598
0
0
0
0
0
0
0
0
0
0.099872
0
0
0
0
0
0
0
0
0
0
0
0
0
0.184705
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.067246
0
0
0
0
0.099432
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005498
0
0
0
0
0
0
0
0.041627
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.120094
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.076354
0.09881
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
0.149273
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
0.193328
0.025731
0
0
0
0
0
0
0
0
0
0
0
0
0.175476
0
0
0
0
0
0.002694
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.790828
0.170091
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077836
0
0
0
0
0
0
0
0
0
0
0
0
0.118397
0.0984
0
0
0
0
0
0
0
0
0
0
0
0
0.006891
0.100736
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
0.443902
0.191108
0
0
0
0
0
0
0
0
0
0
0
0
0.033758
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.331185
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035272
0
0
0
0
0
0
0
0
0
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
0.030133
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.715387
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051993
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.354432
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.259881
0.372106
0.069783
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240628
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040393
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051123
0
0
0
0
0
0
0
0
0.100145
0
0
0.079723
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110634
0
0
0
0
0
0
0
0.044606
0
0
0
0
0
0
0
0.023043
0
0
0
0
0
0
0
0
0
0
0.07345
0.097791
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202872
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.146829
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081556
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.191428
0.025966
0
0
0
0
0
0
0
0
0
0
0
0
0.167971
0
0
0
0
0
0.002013
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.758977
0.154636
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078761
0
0
0
0
0
0
0
0
0
0
0
0
0.113851
0.096842
0
0
0
0
0
0
0
0
0
0
0
0
0.007192
0.100957
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
0.427836
0.17875
0
0
0
0
0
0
0
0
0
0
0
0
0.034808
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.31926
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036794
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031323
0.027454
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.696415
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050669
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.340813
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.2499
0.362812
0.068284
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.230243
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037194
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051959
0
0
0
0
0
0
0
0
0.100635
0
0
0.08109
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111615
0
0
0
0
0
0
0
0.045237
0
0
0
0
0
0
0
0.023226
0
0
0
0
0
1
0
0
0
0
0.074215
0.097964
0
0
0
0
0
0
0
0
0
0
0
0
0
0.2027
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147294
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081327
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.191956
0.025832
0
0
0
0
0
0
0
0
0
0
0
0
0.170006
0
0
0
0
0
0.002254
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.7676
0.158662
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07837
0
0
0
0
0
0
0
0
0
0
0
0
0.115464
0.097277
0
0
0
0
0
0
0
0
0
0
0
0
0.006961
0.100686
0.001183
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.433152
0.18257
0
0
0
0
0
0
0
0
0
0
0
0
0.034585
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.323159
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036282
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032173
0.028165
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.701541
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050961
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.344658
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.253247
0.36547
0.068664
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.233699
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038361
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051669
0
0
0
0
0
0
0
0
0.100241
0
0
0.080586
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111258
0
0
0
0
0
0
0
0.044839
0
0
0
0
0
0
0
0.023125
0
0
0
0
0
2
0
0
0
0
0.075805
0.098577
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202527
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.148871
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080995
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193049
0.025733
0
0
0
0
0
0
0
0
0
0
0
0
0.174338
0
0
0
0
0
0.002586
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.785662
0.167397
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07791
0
0
0
0
0
0
0
0
0
0
0
0
0.117704
0.098186
0
0
0
0
0
0
0
0
0
0
0
0
0.00685
0.100681
0.001059
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.441692
0.189374
0
0
0
0
0
0
0
0
0
0
0
0
0.033914
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.329524
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.03369
0.029708
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.712312
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051715
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.352465
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.2584
0.370833
0.069553
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.239143
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039915
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051213
0
0
0
0
0
0
0
0
0.099897
0
0
0.079865
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110741
0
0
0
0
0
0
0
0.044483
0
0
0
0
0
0
0
0.02291
0
0
0
0
0
0
0
0
0
0
0.075316
0.09839
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202579
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14837
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081099
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192704
0.025766
0
0
0
0
0
0
0
0
0
0
0
0
0.172972
0
0
0
0
0
0.002484
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.780006
0.164679
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078058
0
0
0
0
0
0
0
0
0
0
0
0
0.117013
0.097897
0
0
0
0
0
0
0
0
0
0
0
0
0.00689
0.100686
0.001111
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.439007
0.187228
0
0
0
0
0
0
0
0
0
0
0
0
0.034128
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.327523
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035712
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033221
0.029223
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.708938
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051485
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.349996
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.256795
0.36913
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
0
0
0
0
0
0
0
0
0
0
0.23744
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039435
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051359
0
0
0
0
0
0
0
0
0.100036
0
0
0.080096
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110906
0
0
0
0
0
0
0
0.044614
0
0
0
0
0
0
0
0.022996
0
0
0
0
0
3
0
0
0
0
0.073906
0.097843
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202732
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14698
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081392
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.191741
0.025851
0
0
0
0
0
0
0
0
0
0
0
0
0.16915
0
0
0
0
0
0.002191
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.764056
0.156946
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07846
0
0
0
0
0
0
0
0
0
0
0
0
0.115034
0.097098
0
0
0
0
0
0
0
0
0
0
0
0
0.006984
0.100686
0.001208
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.43149
0.181238
0
0
0
0
0
0
0
0
0
0
0
0
0.034719
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.321919
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036447
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03188
0.027861
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.699426
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050816
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.34312
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.252248
0.36441
0.068487
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.232642
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038064
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051758
0
0
0
0
0
0
0
0
0.100314
0
0
0.080728
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111358
0
0
0
0
0
0
0
0.044911
0
0
0
0
0
0
0
0.023172
0
0
0
0
0
2
0
0
0
0
0.071268
0.096825
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203023
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144377
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081941
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189932
0.026015
0
0
0
0
0
0
0
0
0
0
0
0
0.16199
0
0
0
0
0
0.001636
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.734156
0.14248
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07922
0
0
0
0
0
0
0
0
0
0
0
0
0.11131
0.095597
0
0
0
0
0
0
0
0
0
0
0
0
0.007165
0.100694
0.001408
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.417336
0.169974
0
0
0
0
0
0
0
0
0
0
0
0
0.035827
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.31137
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037834
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029363
0.025307
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.681599
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049563
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.330209
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.243693
0.355548
0.067022
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.223615
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052511
0
0
0
0
0
0
0
0
0.100863
0
0
0.081919
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112214
0
0
0
0
0
0
0
0.045488
0
0
0
0
0
0
0
0.023513
0
0
0
0
0
2
0
0
0
0
0.0747
0.098151
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202646
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147763
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081227
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192283
0.025803
0
0
0
0
0
0
0
0
0
0
0
0
0.171302
0
0
0
0
0
0.002356
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.773035
0.161302
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078233
0
0
0
0
0
0
0
0
0
0
0
0
0.116147
0.097548
0
0
0
0
0
0
0
0
0
0
0
0
0.006931
0.100686
0.001154
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.435719
0.184609
0
0
0
0
0
0
0
0
0
0
0
0
0.034386
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.325072
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036033
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032634
0.028628
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.704782
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051192
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.346991
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.254807
0.367067
0.06893
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.235342
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038835
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051534
0
0
0
0
0
0
0
0
0.100158
0
0
0.080372
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111104
0
0
0
0
0
0
0
0.044744
0
0
0
0
0
0
0
0.023073
0
0
0
0
0
3
0
0
0
0
0.076265
0.098757
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202476
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149315
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080902
0
0
0
0
0
0
0
0
0
0
0
0
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
0.002681
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.790786
0.169894
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077785
0
0
0
0
0
0
0
0
0
0
0
0
0.118342
0.098439
0
0
0
0
0
0
0
0
0
0
0
0
0.006826
0.100686
0.001038
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.444089
0.191283
0
0
0
0
0
0
0
0
0
0
0
0
0.033726
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.331313
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035212
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034125
0.030144
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.715367
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051935
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.354656
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.259861
0.37233
0.069803
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240678
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040357
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.099832
0
0
0.079667
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110599
0
0
0
0
0
0
0
0.044404
0
0
0
0
0
0
0
0.022867
0
0
0
0
0
0
0
0
0
0
0.076209
0.098737
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202472
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149146
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080921
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193258
0.025722
0
0
0
0
0
0
0
0
0
0
0
0
0.175184
0
0
0
0
0
0.002673
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.789498
0.169375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077837
0
0
0
0
0
0
0
0
0
0
0
0
0.118266
0.098347
0
0
0
0
0
0
0
0
0
0
0
0
0.006861
0.100695
0.001125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.443457
0.190723
0
0
0
0
0
0
0
0
0
0
0
0
0.033806
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.330843
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035303
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034062
0.030022
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.714594
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051912
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.353949
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25958
0.371799
0.069721
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240327
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040307
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051138
0
0
0
0
0
0
0
0
0.100044
0
0
0.079742
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.11065
0
0
0
0
0
0
0
0.044543
0
0
0
0
0
0
0
0.023
0
0
0
0
0
0
0
0
0
0
0.074756
0.098173
0
0
0
0
0
0
0
0
0
0
0
0
0
0.20264
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147819
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081215
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192322
0.0258
0
0
0
0
0
0
0
0
0
0
0
0
0.171456
0
0
0
0
0
0.002367
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.773677
0.161613
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078218
0
0
0
0
0
0
0
0
0
0
0
0
0.116226
0.09758
0
0
0
0
0
0
0
0
0
0
0
0
0.006927
0.100686
0.00115
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.436019
0.184849
0
0
0
0
0
0
0
0
0
0
0
0
0.034362
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.325297
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032688
0.028682
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.705164
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051219
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.347268
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.254988
0.367257
0.068961
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.235533
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038889
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051518
0
0
0
0
0
0
0
0
0.100147
0
0
0.080347
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111086
0
0
0
0
0
0
0
0.044732
0
0
0
0
0
0
0
0.023065
0
0
0
0
0
2
0
0
0
0
0.043894
0.086235
0
0
0
0
0
0
0
0
0
0
0
0
0
0.205966
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.117251
0
0
0
0
0
0
0
0
0
0
0
0
0
0.087637
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.171244
0.027748
0
0
0
0
0
0
0
0
0
0
0
0
0.087724
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004176
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.423864
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00108
0
0
0
0
0
0
0
0.087179
0
0
0
0
0
0
0
0
0
0
0
0
0.072781
0.08005
0
0
0
0
0
0
0
0
0
0
0
0
0.009032
0.100674
0.003545
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.270604
0.053242
0
0
0
0
0
0
0
0
0
0
0
0
0.047364
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.201987
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052298
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003281
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.49659
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036509
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.196171
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.15507
0.263577
0.051926
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.130063
0
0
0
0
0
0
0
0
0
0
0
0
0
0.008738
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.060395
0
0
0
0
0
0
0
0
0.106526
0
0
0.094265
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.121269
0
0
0
0
0
0
0
0.051402
0
0
0
0
0
0
0
0.027001
0
0
0
0
0
0
0
0
0
0
0.076452
0.098835
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
0.149454
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080869
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193454
0.025705
0
0
0
0
0
0
0
0
0
0
0
0
0.175958
0
0
0
0
0
0.002719
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.792583
0.170821
0
0
0
0
0
0
0
0
0
0
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
0.118585
0.098516
0
0
0
0
0
0
0
0
0
0
0
0
0.006835
0.1007
0.001071
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.444878
0.191899
0
0
0
0
0
0
0
0
0
0
0
0
0.033671
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.331904
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035149
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034294
0.030292
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.716437
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052028
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.355352
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.260382
0.372785
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
0.241204
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040526
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051054
0
0
0
0
0
0
0
0
0.099902
0
0
0.079613
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110559
0
0
0
0
0
0
0
0.044436
0
0
0
0
0
0
0
0.022905
0
0
0
0
0
3
0
0
0
0
0.065704
0.094668
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203626
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.138849
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083098
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.18611
0.026358
0
0
0
0
0
0
0
0
0
0
0
0
0.146851
0
0
0
0
0
0.000474
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.67099
0.111914
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.080817
0
0
0
0
0
0
0
0
0
0
0
0
0.103497
0.092422
0
0
0
0
0
0
0
0
0
0
0
0
0.007541
0.100693
0.001829
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.387533
0.146213
0
0
0
0
0
0
0
0
0
0
0
0
0.038178
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.289152
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.040759
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024064
0.019909
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.643936
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046917
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.302926
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.225702
0.336811
0.063919
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.204619
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030056
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.054099
0
0
0
0
0
0
0
0
0.102029
0
0
0.084427
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.114015
0
0
0
0
0
0
0
0.046702
0
0
0
0
0
0
0
0.024245
0
0
0
0
0
2
0
0
0
0
0.072484
0.097294
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202888
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.145572
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081687
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190765
0.025939
0
0
0
0
0
0
0
0
0
0
0
0
0.165286
0
0
0
0
0
0.001893
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.747927
0.149147
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078869
0
0
0
0
0
0
0
0
0
0
0
0
0.113032
0.096288
0
0
0
0
0
0
0
0
0
0
0
0
0.007081
0.100688
0.001318
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.423862
0.175164
0
0
0
0
0
0
0
0
0
0
0
0
0.035318
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.316234
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037195
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030523
0.026483
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.68981
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050139
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.336152
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.247643
0.359627
0.067697
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.22778
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036673
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052164
0
0
0
0
0
0
0
0
0.100614
0
0
0.08137
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.11182
0
0
0
0
0
0
0
0.045224
0
0
0
0
0
0
0
0.02336
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
0.109979
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004539
0
0
0
0
0
0
0
0
0
0
0.018252
0
0
0
0.006724
0
0
0
0
0
0
0
0
0
0
0
0
0.145934
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
0.201723
0
0
0
0
0
0.038035
0
0.130627
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.095713
0.003148
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.065512
0
0
0
0
0.420072
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
0.201266
0
0
0
0
0
0
0
0
0
0
0
0
0.118237
0.295888
0
0.173409
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.025333
0
0
0
0
0
0.030265
0
0
0
0
0
0
0
0
0
0
0.274708
0
0
0
0
0
0
0.253804
0.007481
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.062865
0
0
0
0
0
0
0.251572
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001257
0
0.131507
0
0
0
0
0
0
0
0
0
0
0
0.063718
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036519
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.228475
0
0
0
0
0
0
0
0
0
0
0
0.046582
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000443
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.376975
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.177025
0
0
0
0
0
0
0
0
0
0.001568
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024719
0
0
0
0
0
0.22485
0
0
0
0
0.066994
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.272943
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.13301
0
0.006517
0
0
0
0
0.039165
0
0
0
0
0
0.008667
0
0
0.149925
0
0
0
0
0
0
0.081551
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.183883
0
0
0
0
0
0
0
0
0.116146
0
0
0.118628
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.302265
0
0
0
0
0
0
0
0.000631
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.099139
0.071432
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.136123
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064208
0
0.239793
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.126948
0
0
0
0
0
0
0
0
0
0.195335
0.050787
0
0
0.002986
0
0
0
0
0
0.021208
0
0
0
0
0
0
0
0
0
0
0.104505
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.058962
0
0.079229
0
0.035546
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.179354
0
0
0
0
0
0.154651
0
0
0
0
0.019638
0
0
0
0.050744
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037458
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.10846
0
0
0
0
0
0
0
0
0
0
0
0
0
0.106594
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.043288
0
0
0
0
0
0
0.116963
0
0
0
0
0
0
0
0
0.153021
0.011876
0
0
0
0
0
0
0
0
0
0
0
0
0.117242
0
0
0
0
0
0.072049
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007837
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.183968
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.058813
0
0
0
0
0
0
0
0
0
0.094758
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.142556
0
0
0
0
0
0
0
0
0.053497
0
0.100403
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.167857
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036719
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000323
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.13864
0
0
0
0
0
0
0
0
0
0
0
0
0
0.162124
0
0
0
0
0
0.066107
0
0.073121
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.025473
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.179
0
0
0
0
0
0
0
0
0.052208
0.040832
0
0.096
0
0
0
0
0
0
0
0
0
0
0
0
0.005922
0
0
0.285498
0
0
0
0
0
0
0
0.063979
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.217598
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038219
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.054431
0
0
0
0
0
0
0
0
0
0
0
0
0.065138
0.120163
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050607
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002454
0
0
0
0
0
0
0
0
0
0
0.040097
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.005542
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.041866
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.093189
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144729
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.286217
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.155626
0
0
0
0
0
0
0.004679
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.129918
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.096534
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.348659
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051308
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.075929
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010665
0
0
0
0
0
0.140383
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.060933
0
0
0
0
0
0
0
0
0
0.134759
0.113731
0
0.14802
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.096663
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0.073991
0.097877
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202723
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147058
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.191794
0.025847
0
0
0
0
0
0
0
0
0
0
0
0
0.169366
0
0
0
0
0
0.002208
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.76497
0.157403
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078439
0
0
0
0
0
0
0
0
0
0
0
0
0.115149
0.097142
0
0
0
0
0
0
0
0
0
0
0
0
0.006981
0.100688
0.001211
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.431904
0.181569
0
0
0
0
0
0
0
0
0
0
0
0
0.034687
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.322229
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036408
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031958
0.027938
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.699972
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050856
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.343501
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.252506
0.364669
0.068533
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.232911
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038142
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051737
0
0
0
0
0
0
0
0
0.100315
0
0
0.080695
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111335
0
0
0
0
0
0
0
0.044905
0
0
0
0
0
0
0
0.023171
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
0.169068
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.22746
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.056591
0
0
0
0
0.122385
0.081059
0
0.06767
0
0
0
0
0
0
0
0.121873
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.044679
0.074753
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.117757
0
0
0
0
0
0
0
0.018226
0
0
0
0
0
0
0
0.028527
0.067564
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.09971
0
0
0.038382
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034061
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.088984
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.045123
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.09633
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.070307
0
0
0
0.219419
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003269
0
0
0
0.142704
0
0
0
0
0.049634
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.133802
0
0
0
0
0
0
0
0
0
0
0
0
0
0.053067
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.234624
0
0
0
0.363619
0
0
0
0.087628
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.279407
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.221228
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.057689
0
0
0
0
0
0
0
0
0
0
0
0
0
0.026092
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.22527
0
0
0
0
0
0
0
0
0
0
0
0
0
0.069847
0.089258
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.088288
0
0
0
0.261739
0
0.001975
0
0
0.057111
0
0
0
0
0
0
0
0.264877
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.173317
0.051876
0
0.011185
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.058182
0
0
0
0
0
0
0
0
0.017335
0.01284
0
0.108737
0
0
0
0
0
0
0
0
0
0.109326
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.141557
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.128016
0.103878
0
0
0
0
0
0
0
0
0
0
0
0
0
0.124698
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.137717
0
0
0
0
0
0
0
0
0
0
0
0
0.256252
0.123919
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.022514
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0228
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.193774
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.089478
0
0
0
0
0
0
0
0
0
0
0
0
0.013096
0
0
0
0
0
0
0.003844
0
0
0
0
0
0
0.073377
0.174914
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.184115
0
0
0
0
0
0
0.002139
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.008121
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.24977
0.396946
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024245
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.197194
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068569
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.162599
0
0
0
0
0
0.089774
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.033585
0
0
0
0
0
0.158998
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.514859
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0873
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
0.031483
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007199
0
0
0
0
0
0.137413
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.088924
0.17024
0
0
0
0
0
0
0
0
0
0.04892
0.015367
0
0.068933
0
0
0
0
0
0
0.005231
0
0
0
0
0
0
0.003285
0
0
0
0
0
0
0
0
0
0.107333
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
0.145922
0
0
0
0
0
0
0
0.013936
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037209
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07599
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.057824
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.103749
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.016401
0
0
0.096257
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.011447
0
0
0
0
0
0.13461
0
0
0
0
0
0.054449
0
0.012874
0.241935
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.163193
0
0
0
0
0
0
0
0
0
0
0
0
0
0.127919
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032165
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002137
0
0
0
0
0
0
0
0
0
0
0
0
0
0.127949
0
0
0
0
0
0.096841
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.167125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085018
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032181
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051847
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.042827
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.123564
0.256116
0
0
0
0
0
0
0
0
0
0
0.122974
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04622
0
0
0
0
0
0
0
0
0.081259
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013722
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.121192
0
0.020675
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024791
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.146349
0
0
0
0
0
0
0
0
0
0
0
0
0
0.163297
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.070983
0
0
0
0
0
0
0
0
0
0
0
0.230716
0
0
0
0
0
0
0
0
0
0
0.068819
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.1174
0.171743
0
0
0
0
0
0
0
0
0.130591
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.054915
0.090492
0
0
0
0
0
0
0
0
0
0
0
0
0
0.204805
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.128167
0
0
0
0
0
0
0
0
0
0
0
0
0
0.085343
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.178711
0.02703
0
0
0
0
0
0
0
0
0
0
0
0
0.11754
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.548618
0.05259
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083916
0
0
0
0
0
0
0
0
0
0
0
0
0.088317
0.086278
0
0
0
0
0
0
0
0
0
0
0
0
0.008274
0.100705
0.002643
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.329741
0.100171
0
0
0
0
0
0
0
0
0
0
0
0
0.042724
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.246071
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046441
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013787
0.009455
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.570974
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.041791
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.250099
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190788
0.300543
0.057912
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.167769
0
0
0
0
0
0
0
0
0
0
0
0
0
0.019522
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.057181
0
0
0
0
0
0
0
0
0.104245
0
0
0.089289
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.117532
0
0
0
0
0
0
0
0.049026
0
0
0
0
0
0
0
0.025617
0
0
0
0
0
2
0
0
0
0
0.070567
0.096551
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203096
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14367
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082086
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189448
0.026057
0
0
0
0
0
0
0
0
0
0
0
0
0.16007
0
0
0
0
0
0.001491
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.726163
0.138616
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079421
0
0
0
0
0
0
0
0
0
0
0
0
0.110335
0.095194
0
0
0
0
0
0
0
0
0
0
0
0
0.007212
0.10069
0.001463
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.413583
0.166973
0
0
0
0
0
0
0
0
0
0
0
0
0.036127
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.308571
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038204
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028697
0.024623
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.676834
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049229
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.326751
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.241435
0.353171
0.066628
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.221227
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034802
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052712
0
0
0
0
0
0
0
0
0.101018
0
0
0.082235
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112441
0
0
0
0
0
0
0
0.045644
0
0
0
0
0
0
0
0.023613
0
0
0
0
0
0
0
0
0
0
0.070035
0.096344
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203155
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14315
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082196
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189087
0.026089
0
0
0
0
0
0
0
0
0
0
0
0
0.158641
0
0
0
0
0
0.00138
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.720179
0.13571
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079569
0
0
0
0
0
0
0
0
0
0
0
0
0.109591
0.094895
0
0
0
0
0
0
0
0
0
0
0
0
0.007244
0.100688
0.001496
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.410768
0.164731
0
0
0
0
0
0
0
0
0
0
0
0
0.036348
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.306472
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038478
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028191
0.024113
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.673266
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.048975
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.324179
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.239728
0.351409
0.066335
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.219429
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034285
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052861
0
0
0
0
0
0
0
0
0.101111
0
0
0.08247
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.11261
0
0
0
0
0
0
0
0.045749
0
0
0
0
0
0
0
0.023672
0
0
0
0
0
3
0
0
0
0
0.167552
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.244217
0.052731
0
0
0
0
0
0
0
0
0
0
0
0
0
0.170071
0
0
0
0
0
0
0
0
0
0
0
0
0
0.066972
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.165639
0
0
0
0
0
0
0
0
0.242927
0.122169
0
0
0.302057
0.146912
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.072425
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0285
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05968
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.178555
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.273623
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079163
0.098118
0
0
0
0
0
0
0
0
0
0
0
0.051699
0.1933
0
0
0
0
0
0
0.055815
0
0
0
0
0
0
0.073583
0.151465
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.164369
0
0
0
0
0
0
0.01448
0
0
0
0
0
0
0
0
0
0
0
0
0
0.179109
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021648
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.165652
0.420557
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.023053
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003234
0
0
0
0
0
0
0
0.062536
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.262233
0
0
0
0
0
0
0
0
0
0
0
0
0
0.054204
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038554
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.161154
0
0
0
0
0
0
0
0.178849
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.042051
0
0
0
0
0
0.071599
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.476261
0
0
0
0
0
0
0
0
0.072883
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036716
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.007207
0
0
0
0
0
0
0
0
0
0
0.131338
0
0
0
0
0
0
0
0
0
0
0.097786
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046786
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035367
0
0
0
0
0
0
0.205251
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.001287
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.139443
0.184645
0
0
0
0
0
0
0
0
0
0
0
0
0.11042
0
0
0
0
0
0
0.101993
0
0
0
0
0
0
0.0224
0
0
0
0
0
0
0
0
0
0.155196
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0.072591
0.097339
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202875
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14565
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08167
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190818
0.025939
0
0
0
0
0
0
0
0
0
0
0
0
0.165505
0
0
0
0
0
0.001914
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.748927
0.149671
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078856
0
0
0
0
0
0
0
0
0
0
0
0
0.113166
0.096329
0
0
0
0
0
0
0
0
0
0
0
0
0.00709
0.1007
0.001342
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.424286
0.175497
0
0
0
0
0
0
0
0
0
0
0
0
0.035288
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.316553
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037163
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030619
0.026565
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.690405
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050194
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.33653
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.247928
0.359871
0.067741
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.228065
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036766
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052147
0
0
0
0
0
0
0
0
0.100666
0
0
0.081343
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111799
0
0
0
0
0
0
0
0.04525
0
0
0
0
0
0
0
0.023387
0
0
0
0
0
2
0
0
0
0
0.07326
0.097594
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202802
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.14634
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081526
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.191297
0.025891
0
0
0
0
0
0
0
0
0
0
0
0
0.167389
0
0
0
0
0
0.002057
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.756718
0.153395
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078647
0
0
0
0
0
0
0
0
0
0
0
0
0.114125
0.096729
0
0
0
0
0
0
0
0
0
0
0
0
0.007029
0.100687
0.001258
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.428023
0.178475
0
0
0
0
0
0
0
0
0
0
0
0
0.034991
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.319334
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.036788
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031264
0.027234
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.695049
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05051
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.339948
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.250155
0.362231
0.068126
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.230432
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037433
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051943
0
0
0
0
0
0
0
0
0.100453
0
0
0.081021
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111567
0
0
0
0
0
0
0
0.045055
0
0
0
0
0
0
0
0.023259
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
0.01552
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.091382
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.131556
0
0
0.031354
0.030356
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030722
0
0
0
0
0.044059
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.064777
0
0
0.007106
0
0
0
0.009958
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.073234
0
0
0
0
0
0
0
0
0
0
0
0
0.039141
0.140128
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.184373
0
0
0
0
0
0
0.074785
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010744
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051991
0
0
0
0
0
0
0
0.134527
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.159463
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027059
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.026185
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038786
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.068755
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.017285
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202801
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082973
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083717
0
0
0
0
0
0
0
0
0.065704
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.16934
0
0
0
0.021748
0
0
0
0
0
0
0
0
0
0
0
0.106716
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.026005
0
0
0
0
0
0
0
0
0
0.085795
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0.070858
0.096665
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203065
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.143955
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082026
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189645
0.026041
0
0
0
0
0
0
0
0
0
0
0
0
0.160853
0
0
0
0
0
0.001552
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.729441
0.140208
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079339
0
0
0
0
0
0
0
0
0
0
0
0
0.110742
0.095357
0
0
0
0
0
0
0
0
0
0
0
0
0.007194
0.100692
0.001446
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.415123
0.168199
0
0
0
0
0
0
0
0
0
0
0
0
0.036007
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.30972
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038054
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028973
0.024903
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.678788
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049368
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.328159
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.24237
0.354135
0.066788
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.222211
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035084
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052631
0
0
0
0
0
0
0
0
0.100968
0
0
0.082107
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112349
0
0
0
0
0
0
0
0.045588
0
0
0
0
0
0
0
0.023581
0
0
0
0
0
2
0
0
0
0.053059
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.195838
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.08792
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.010876
0.003386
0.145943
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00789
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000186
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.072758
0.001178
0
0
0
0
0
0
0
0.144206
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.104279
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03952
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081477
0.118704
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.012809
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.059219
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083763
0
0
0
0
0
0
0.008353
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050774
0.008163
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032998
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.027461
0
0
0
0
0
0
0
0
0
0
0
0.129931
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034829
0
0
0.070873
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0535
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.030484
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.077097
0
0
0
0
0
0.120699
0
0.009066
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.150696
0
0
0.171114
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.060256
0.092562
0
0
0
0
0
0
0
0
0
0
0
0
0
0.204222
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.133444
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084234
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.182365
0.026699
0
0
0
0
0
0
0
0
0
0
0
0
0.132019
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.609104
0.081976
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082391
0
0
0
0
0
0
0
0
0
0
0
0
0.095822
0.089311
0
0
0
0
0
0
0
0
0
0
0
0
0.007919
0.100706
0.002251
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.358279
0.122907
0
0
0
0
0
0
0
0
0
0
0
0
0.04048
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.267346
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.043632
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.018871
0.014621
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.607037
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.044331
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.276186
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.20804
0.318447
0.06088
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.185972
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024729
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055659
0
0
0
0
0
0
0
0
0.103183
0
0
0.086893
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.115787
0
0
0
0
0
0
0
0.0479
0
0
0
0
0
0
0
0.024959
0
0
0
0
0
2
0
0
0
0
0.070204
0.09641
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203136
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.143316
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082161
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189203
0.026079
0
0
0
0
0
0
0
0
0
0
0
0
0.1591
0
0
0
0
0
0.001416
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.722095
0.136639
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079521
0
0
0
0
0
0
0
0
0
0
0
0
0.109829
0.094991
0
0
0
0
0
0
0
0
0
0
0
0
0.007233
0.100688
0.001484
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.411671
0.16545
0
0
0
0
0
0
0
0
0
0
0
0
0.036277
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.307146
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03839
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028353
0.024276
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.674408
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049056
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.325005
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.240275
0.351975
0.066429
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.220005
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03445
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052813
0
0
0
0
0
0
0
0
0.101079
0
0
0.082394
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112556
0
0
0
0
0
0
0
0.045714
0
0
0
0
0
0
0
0.023651
0
0
0
0
0
0
0
0
0
0
0.064665
0.094279
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203738
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.137741
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083328
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.185341
0.026442
0
0
0
0
0
0
0
0
0
0
0
0
0.143822
0
0
0
0
0
0.000251
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.658592
0.106027
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081167
0
0
0
0
0
0
0
0
0
0
0
0
0.101984
0.091773
0
0
0
0
0
0
0
0
0
0
0
0
0.00766
0.10073
0.002
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.381528
0.141418
0
0
0
0
0
0
0
0
0
0
0
0
0.038659
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.284684
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.041375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.023054
0.01884
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.636541
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.046435
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.297417
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.222158
0.332984
0.063297
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.200833
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.054435
0
0
0
0
0
0
0
0
0.102457
0
0
0.084959
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.114394
0
0
0
0
0
0
0
0.047071
0
0
0
0
0
0
0
0.024498
0
0
0
0
0
1
0
0
0
0
0.128431
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149034
0.152899
0
0
0
0
0
0
0
0
0
0
0
0
0
0.136534
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.226165
0
0
0
0
0
0
0
0
0.184575
0.103435
0
0
0.316684
0.211235
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.095008
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.056398
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.304858
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.045513
0
0
0
0
0
0
0
0
0
0
0
0
0.061272
0
0
0
0
0
0
0.044689
0
0
0
0
0
0
0.054204
0.195372
0.062665
0
0
0
0
0
0.175313
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.270107
0
0
0
0
0
0
0.018802
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.069033
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.24603
0.434535
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.110464
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.014519
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.211776
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082107
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000833
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.107474
0
0
0
0
0
0.10119
0
0.19716
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.031533
0
0
0
0
0
0.178774
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5958
0
0
0
0
0
0
0
0
0.063471
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034118
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002345
0
0
0
0
0
0
0
0
0
0
0.024775
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050382
0
0
0
0
0
0
0
0
0
0.201523
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.101504
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.170625
0
0
0
0
0
0
0
0
0
0
0
0.159633
0
0.229192
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.098261
0.186915
0
0
0
0
0
0
0
0
0
0
0
0
0.144892
0
0
0
0
0
0
0.041437
0
0
0
0
0
0
0.040816
0
0
0
0
0
0
0
0
0
0.15437
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0.070091
0.096371
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203152
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.143223
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082186
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.18913
0.026088
0
0
0
0
0
0
0
0
0
0
0
0
0.15881
0
0
0
0
0
0.001389
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.720862
0.136041
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079558
0
0
0
0
0
0
0
0
0
0
0
0
0.10965
0.094931
0
0
0
0
0
0
0
0
0
0
0
0
0.007245
0.100698
0.001492
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.411045
0.16497
0
0
0
0
0
0
0
0
0
0
0
0
0.036317
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.306681
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038449
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028241
0.024173
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.673674
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.324479
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.239884
0.351616
0.066371
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.219599
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034324
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052845
0
0
0
0
0
0
0
0
0.101096
0
0
0.082448
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112594
0
0
0
0
0
0
0
0.045738
0
0
0
0
0
0
0
0.023658
0
0
0
0
0
0
0
0
0
0
0.074894
0.098233
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202624
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.147909
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081194
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.192383
0.025802
0
0
0
0
0
0
0
0
0
0
0
0
0.171712
0
0
0
0
0
0.002394
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.774884
0.162261
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.078206
0
0
0
0
0
0
0
0
0
0
0
0
0.116392
0.097626
0
0
0
0
0
0
0
0
0
0
0
0
0.006944
0.100705
0.001192
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.436512
0.185234
0
0
0
0
0
0
0
0
0
0
0
0
0.03433
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.325668
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.03597
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.032808
0.02878
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.705882
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.051289
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.347701
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.255334
0.36753
0.069013
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.235872
0
0
0
0
0
0
0
0
0
0
0
0
0
0.039004
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0515
0
0
0
0
0
0
0
0
0.100238
0
0
0.08032
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.111065
0
0
0
0
0
0
0
0.044783
0
0
0
0
0
0
0
0.023116
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055183
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003175
0
0
0
0
0
0
0
0.033646
0.019995
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144898
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.104615
0.089235
0
0
0
0
0
0
0
0.142323
0
0
0
0
0
0.060592
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037675
0
0
0
0
0
0
0
0
0
0.010365
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125992
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.006286
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.074545
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.09889
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.065358
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.000713
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.013972
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.002184
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.083116
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.021353
0.092995
0
0
0
0
0
0
0
0
0
0
0.015876
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.175722
0.203398
0
0.136812
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084315
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0.071532
0.096924
0
0
0
0
0
0
0
0
0
0
0
0
0
0.202991
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.144632
0
0
0
0
0
0
0
0
0
0
0
0
0
0.081885
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.190114
0.025997
0
0
0
0
0
0
0
0
0
0
0
0
0.162707
0
0
0
0
0
0.001694
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.737151
0.143927
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.07914
0
0
0
0
0
0
0
0
0
0
0
0
0.111696
0.095747
0
0
0
0
0
0
0
0
0
0
0
0
0.007143
0.100687
0.001385
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.418781
0.171115
0
0
0
0
0
0
0
0
0
0
0
0
0.035718
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.312446
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.037692
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.029618
0.025562
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.683385
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049687
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.331505
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.24457
0.356438
0.067168
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.224539
0
0
0
0
0
0
0
0
0
0
0
0
0
0.035746
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.052434
0
0
0
0
0
0
0
0
0.100803
0
0
0.081796
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112126
0
0
0
0
0
0
0
0.045425
0
0
0
0
0
0
0
0.023479
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
0.134504
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.003077
0
0.139255
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.004471
0.002294
0
0.168429
0
0
0
0
0
0
0
0.046849
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055454
0
0
0
0
0
0
0.092267
0
0
0
0
0
0
0
0
0
0
0
0
0.055453
0
0
0
0
0
0
0
0
0
0.033351
0
0
0
0
0
0
0
0.031114
0.134246
0
0
0
0
0
0
0
0
0.024426
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.070024
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.01577
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.008257
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.018258
0
0
0
0
0
0
0.056473
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.04445
0
0
0
0.144861
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.149191
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.123525
0
0
0
0.122651
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.086537
0
0
0
0.098155
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.097357
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.256194
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.115686
0
0
0
0
0
0
0
0
0
0
0
0
0
0.123872
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.053376
0
0.082205
0
0
0.026157
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.050092
0
0.097532
0
0
0
0
0
0
0
0
0
0
0
0
0
0.025231
0
0
0
0
0
0
0
0
0
0
0
0.08916
0
0.165061
0
0
0
0
0
0
0
0
0
0.066762
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.070091
0.096368
0
0
0
0
0
0
0
0
0
0
0
0
0
0.203148
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.143194
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082186
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.189118
0.026088
0
0
0
0
0
0
0
0
0
0
0
0
0.158765
0
0
0
0
0
0.001391
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.720729
0.135993
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.079561
0
0
0
0
0
0
0
0
0
0
0
0
0.109661
0.094919
0
0
0
0
0
0
0
0
0
0
0
0
0.007247
0.100693
0.001505
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.411005
0.164918
0
0
0
0
0
0
0
0
0
0
0
0
0.03633
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.30665
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.038458
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.028242
0.024158
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.673593
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.049003
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.324394
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.239883
0.35155
0.06636
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.219586
0
0
0
0
0
0
0
0
0
0
0
0
0
0.034334
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.05285
0
0
0
0
0
0
0
0
0.10113
0
0
0.082454
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.112598
0
0
0
0
0
0
0
0.045758
0
0
0
0
0
0
0
0.023682
0
0
0
0
0
2
0
0
0
0
0.05959
0.0923
0
0
0
0
0
0
0
0
0
0
0
0
0
0.204294
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.132804
0
0
0
0
0
0
0
0
0
0
0
0
0
0.084368
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.181924
0.026734
0
0
0
0
0
0
0
0
0
0
0
0
0.130265
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.601717
0.07836
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.082567
0
0
0
0
0
0
0
0
0
0
0
0
0.094903
0.088947
0
0
0
0
0
0
0
0
0
0
0
0
0.00795
0.100695
0.002276
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.354839
0.120166
0
0
0
0
0
0
0
0
0
0
0
0
0.04075
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.264779
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.018243
0.013992
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.602634
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.044011
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.273039
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.205941
0.316298
0.060521
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.183768
0
0
0
0
0
0
0
0
0
0
0
0
0
0.024093
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.055839
0
0
0
0
0
0
0
0
0.103262
0
0
0.087175
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.115992
0
0
0
0
0
0
0
0.048004
0
0
0
0
0
0
0
0.025012
0
0
0
0
0
0