人数VS誕生日が同じペア(組):うるう年なしバージョン

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はじめに

※追記:完成したアプリの紹介→同じ誕生日のペアがどのくらいいるかシミュレーション

誕生日の組を求めるプログラム (c++/c言語)で誕生日のペアを求めるプログラムを紹介した。

多くの人は、わざわざこのプログラムを自分で動かしたいと思う人は多くはいないだろう。

それよりも、過程はどうでもいいからとっとと結果を教えてほしい人の方が多いと思われる。

以下では、うるう年を抜いた(最大365ペア)のシミュレーション結果を示したいと思う。

※あくまで、この結果はシミュレーション。厳密な答えではない。まれに、人数が増えていても、誕生日が同じペア(期待値)が減っていることがある

※人数VS誕生日が同じペア(うるう年ありバージョン)は次の記事を参照:人数VS誕生日が同じペア(組):うるう年ありバージョン

※使用しているプログラムは、誕生日の組を求めるプログラム (c++/c言語)で紹介した2人~特定の人数までの誕生日の組(期待値)を求める [3ループ](うるう年なし)。条件は試行回数(k_max=10000)10000回(1万回)

※時間があれば、うるう年ありバージョンと同じく100000回(10万回)やりたいが、時間が2時間近くかかりそうなので、ちょっとな……。

グラフ

Gnuplotという無料のグラフ作成ソフトで作成。

Gnuplotで使用した.pltファイル

simulation_k10000_365.datファイルを置いていた場所がC:/C_program/birthだったので、このように書いている

simulation_k10000_365

※後で、エクセルでプロットしても問題ないことに気が付いた。個人的に.datファイルをみるとなぜかgnuplotを真っ先にイメージしてしまう。

テーブル

エクセルファイル(結果)のダウンロード:simulation_k10000_d365

人数 同じ誕生日のペアの期待値(pair_exp)
2 0.0025
3 0.0088
4 0.0171
5 0.0287
6 0.0377
7 0.0575
8 0.0756
9 0.097
10 0.1228
11 0.1442
12 0.1791
13 0.2079
14 0.2417
15 0.2822
16 0.3137
17 0.3536
18 0.4172
19 0.4636
20 0.5054
21 0.5611
22 0.5979
23 0.6731
24 0.7337
25 0.8009
26 0.8483
27 0.9364
28 0.9824
29 1.0323
30 1.1281
31 1.2066
32 1.3026
33 1.3693
34 1.4504
35 1.5353
36 1.62
37 1.7052
38 1.7742
39 1.8987
40 1.9758
41 2.0853
42 2.2032
43 2.2998
44 2.3955
45 2.498
46 2.6225
47 2.716
48 2.8511
49 2.9738
50 3.0681
51 3.196
52 3.3136
53 3.449
54 3.5393
55 3.7085
56 3.8377
57 3.9517
58 4.0985
59 4.2103
60 4.3605
61 4.489
62 4.6311
63 4.8291
64 4.914
65 5.0759
66 5.2023
67 5.3948
68 5.5507
69 5.7022
70 5.8381
71 5.998
72 6.2041
73 6.3054
74 6.5006
75 6.6684
76 6.7966
77 7.0065
78 7.1604
79 7.3202
80 7.5058
81 7.7013
82 7.883
83 8.0717
84 8.2307
85 8.4005
86 8.6249
87 8.8253
88 8.9705
89 9.1554
90 9.3344
91 9.5354
92 9.7261
93 9.9292
94 10.1526
95 10.3422
96 10.5434
97 10.746
98 10.9218
99 11.1567
100 11.3791
101 11.5245
102 11.7614
103 12.0148
104 12.1798
105 12.4077
106 12.6038
107 12.8802
108 13.0881
109 13.3019
110 13.5346
111 13.7262
112 13.9794
113 14.2154
114 14.3861
115 14.6558
116 14.8945
117 15.0857
118 15.3199
119 15.6157
120 15.8091
121 16.0349
122 16.2444
123 16.5444
124 16.7758
125 16.9565
126 17.2516
127 17.5092
128 17.7538
129 17.9034
130 18.2563
131 18.4471
132 18.6991
133 18.9842
134 19.2646
135 19.5475
136 19.7521
137 19.9804
138 20.3268
139 20.5426
140 20.8073
141 21.0063
142 21.3603
143 21.6037
144 21.8824
145 22.1546
146 22.3829
147 22.6903
148 22.9494
149 23.1689
150 23.4713
151 23.7564
152 24.0152
153 24.3153
154 24.6147
155 24.8406
156 25.0677
157 25.4686
158 25.6735
159 25.8967
160 26.2603
161 26.5467
162 26.7562
163 27.1003
164 27.3815
165 27.6564
166 27.9843
167 28.2569
168 28.4923
169 28.846
170 29.175
171 29.4491
172 29.773
173 30.0006
174 30.3222
175 30.6432
176 30.8206
177 31.1671
178 31.5161
179 31.8702
180 32.1137
181 32.4189
182 32.6696
183 32.9779
184 33.3128
185 33.6319
186 33.9698
187 34.2106
188 34.5643
189 34.7802
190 35.2044
191 35.4627
192 35.7474
193 36.0531
194 36.4214
195 36.7617
196 37.083
197 37.3378
198 37.6948
199 37.8996
200 38.2731
201 38.5461
202 38.9058
203 39.2085
204 39.5169
205 39.7992
206 40.1465
207 40.5937
208 40.7777
209 41.2311
210 41.4811
211 41.7337
212 42.1083
213 42.4817
214 42.7563
215 43.1205
216 43.4668
217 43.7627
218 44.0871
219 44.4775
220 44.7758
221 45.1086
222 45.3922
223 45.7292
224 46.094
225 46.4378
226 46.7306
227 47.1101
228 47.4025
229 47.7338
230 48.0866
231 48.4563
232 48.8148
233 49.1222
234 49.4994
235 49.7314
236 50.0671
237 50.4004
238 50.7447
239 51.1155
240 51.4621
241 51.7836
242 52.0721
243 52.4476
244 52.889
245 53.2219
246 53.5263
247 53.8678
248 54.3062
249 54.4915
250 54.8839
251 55.2722
252 55.6295
253 55.9461
254 56.3698
255 56.6301
256 56.9659
257 57.3986
258 57.7843
259 58.031
260 58.4238
261 58.7311
262 59.1253
263 59.4721
264 59.7698
265 60.1578
266 60.5154
267 60.877
268 61.2388
269 61.591
270 61.9879
271 62.2452
272 62.5636
273 63.0168
274 63.2718
275 63.6523
276 64.0933
277 64.3222
278 64.7371
279 65.0934
280 65.4487
281 65.7738
282 66.193
283 66.5118
284 66.8704
285 67.2163
286 67.6341
287 68.0474
288 68.2942
289 68.712
290 69.0619
291 69.3738
292 69.7417
293 70.1075
294 70.5194
295 70.815
296 71.1945
297 71.5163
298 71.973
299 72.2892
300 72.6277
301 72.9372
302 73.3606
303 73.7066
304 74.0407
305 74.4593
306 74.7924
307 75.1524
308 75.5428
309 75.9459
310 76.2527
311 76.6693
312 76.9339
313 77.3552
314 77.7121
315 78.158
316 78.3869
317 78.8872
318 79.1247
319 79.5747
320 79.972
321 80.2958
322 80.6489
323 80.9545
324 81.3741
325 81.7054
326 82.0383
327 82.4511
328 82.8085
329 83.2599
330 83.5559
331 83.9463
332 84.331
333 84.6795
334 85.0624
335 85.3602
336 85.8115
337 86.1858
338 86.4492
339 86.8364
340 87.2463
341 87.6536
342 88.0683
343 88.3456
344 88.7443
345 89.0205
346 89.4314
347 89.8925
348 90.1525
349 90.5259
350 90.9448
351 91.2713
352 91.6514
353 92.0136
354 92.3343
355 92.7
356 93.1681
357 93.4995
358 93.8961
359 94.295
360 94.6065
361 94.9825
362 95.3846
363 95.6795
364 96.1255
365 96.463
366 96.8156
367 97.1462
368 97.4455
369 97.9878
370 98.2796
371 98.6655
372 98.9857
373 99.4024
374 99.8303
375 100.0895
376 100.5045
377 100.8635
378 101.1886
379 101.6158
380 101.9831
381 102.3945
382 102.6756
383 103.0776
384 103.4034
385 103.7485
386 104.1521
387 104.5395
388 104.9533
389 105.3269
390 105.6173
391 106.0308
392 106.4174
393 106.7466
394 107.0812
395 107.4404
396 107.9153
397 108.2619
398 108.5674
399 108.9729
400 109.3171
401 109.6675
402 110.0926
403 110.4222
404 110.7803
405 111.1441
406 111.4402
407 111.9383
408 112.2173
409 112.5768
410 112.9874
411 113.3867
412 113.7463
413 114.0859
414 114.4879
415 114.826
416 115.2707
417 115.4756
418 115.8655
419 116.277
420 116.6755
421 116.9719
422 117.3891
423 117.8244
424 118.1143
425 118.4065
426 118.9006
427 119.19
428 119.4423
429 119.9152
430 120.2505
431 120.6132
432 121.0139
433 121.3811
434 121.7539
435 122.1555
436 122.4707
437 122.8596
438 123.2085
439 123.5071
440 123.9134
441 124.2132
442 124.5575
443 125.0107
444 125.2875
445 125.6073
446 126.0402
447 126.4173
448 126.8187
449 127.1871
450 127.4883
451 127.8392
452 128.2561
453 128.6717
454 128.9615
455 129.3641
456 129.7101
457 130.0264
458 130.3907
459 130.753
460 131.0905
461 131.488
462 131.7468
463 132.2101
464 132.5229
465 132.9416
466 133.2173
467 133.603
468 133.9046
469 134.3265
470 134.6373
471 135.0176
472 135.3981
473 135.7769
474 136.0883
475 136.4718
476 136.7492
477 137.2185
478 137.4447
479 137.8068
480 138.2686
481 138.5651
482 138.9118
483 139.2331
484 139.5854
485 140.0395
486 140.2313
487 140.7034
488 141.0419
489 141.4038
490 141.7358
491 142.073
492 142.3889
493 142.7671
494 143.1354
495 143.5118
496 143.841
497 144.2143
498 144.4906
499 144.9377
500 145.0683
501 145.5886
502 146.038
503 146.3085
504 146.6295
505 146.8986
506 147.2839
507 147.6471
508 147.9841
509 148.4365
510 148.6195
511 148.9439
512 149.4482
513 149.7543
514 150.0986
515 150.4525
516 150.8056
517 151.0575
518 151.35
519 151.7831
520 152.1572
521 152.5678
522 152.8566
523 153.0913
524 153.5086
525 153.8052
526 154.2426
527 154.5906
528 154.9548
529 155.2172
530 155.5978
531 155.9174
532 156.2337
533 156.5289
534 156.8752
535 157.2482
536 157.6449
537 157.949
538 158.2944
539 158.5718
540 158.9279
541 159.3676
542 159.6153
543 159.9802
544 160.3661
545 160.6588
546 160.9174
547 161.3945
548 161.5535
549 161.9585
550 162.2712
551 162.6744
552 162.9809
553 163.2043
554 163.6508
555 164.0233
556 164.3215
557 164.5145
558 164.9976
559 165.299
560 165.6413
561 165.9944
562 166.3756
563 166.6512
564 166.9647
565 167.3171
566 167.6606
567 167.9484
568 168.2558
569 168.6663
570 168.9528
571 169.3867
572 169.6219
573 169.9008
574 170.3028
575 170.5658
576 170.976
577 171.2702
578 171.5562
579 171.8386
580 172.246
581 172.5541
582 172.9456
583 173.1659
584 173.4865
585 173.8147
586 174.0987
587 174.4206
588 174.7119
589 175.131
590 175.4671
591 175.7879
592 176.0098
593 176.3506
594 176.7563
595 176.9785
596 177.4136
597 177.7272
598 178.0364
599 178.2638
600 178.6076
601 178.9359
602 179.4004
603 179.5378
604 179.9485
605 180.1761
606 180.4723
607 180.8668
608 181.1186
609 181.471
610 181.6492
611 182.1362
612 182.2955
613 182.7676
614 183.0334
615 183.3912
616 183.6933
617 184.0244
618 184.2878
619 184.5653
620 184.8533
621 185.1625
622 185.5336
623 185.8295
624 186.2355
625 186.4508
626 186.7673
627 187.0754
628 187.3654
629 187.7324
630 187.9161
631 188.3013
632 188.7641
633 188.9407
634 189.2206
635 189.5676
636 189.9185
637 190.1995
638 190.4682
639 190.721
640 191.0437
641 191.4602
642 191.658
643 191.9729
644 192.1104
645 192.5994
646 192.6935
647 193.2076
648 193.4655
649 193.7098
650 194.0803
651 194.4375
652 194.6572
653 195.0463
654 195.3197
655 195.6701
656 195.8718
657 196.1636
658 196.3932
659 196.7936
660 197.094
661 197.2481
662 197.7817
663 197.9264
664 198.1675
665 198.596
666 198.7939
667 199.2028
668 199.3804
669 199.77
670 199.9621
671 200.345
672 200.6001
673 200.9452
674 201.2183
675 201.486
676 201.8231
677 202.0659
678 202.2909
679 202.5694
680 202.9707
681 203.2291
682 203.4277
683 203.8402
684 204.0952
685 204.465
686 204.6278
687 204.9276
688 205.3409
689 205.5835
690 205.7637
691 206.0724
692 206.4
693 206.5912
694 206.9858
695 207.1801
696 207.4908
697 207.8105
698 208.1224
699 208.3165
700 208.6022
701 209.0321
702 209.1951
703 209.4404
704 209.7827
705 210.0668
706 210.3359
707 210.6452
708 210.8193
709 211.0908
710 211.4278
711 211.7868
712 212.0929
713 212.1579
714 212.5701
715 212.8844
716 213.131
717 213.3801
718 213.5422
719 213.8776
720 214.23
721 214.5339
722 214.8039
723 215.0089
724 215.4005
725 215.5711
726 215.8557
727 216.1065
728 216.4434
729 216.7935
730 216.9796
731 217.194
732 217.4549
733 217.5862
734 217.9575
735 218.2969
736 218.575
737 218.7972
738 219.0325
739 219.418
740 219.603
741 219.877
742 220.2377
743 220.4313
744 220.7521
745 220.9845
746 221.2023
747 221.4138
748 221.7544
749 222.0812
750 222.2848
751 222.5672
752 222.8209
753 223.0649
754 223.2407
755 223.6551
756 223.8414
757 224.1365
758 224.3341
759 224.739
760 224.8271
761 225.1342
762 225.5228
763 225.7165
764 225.9901
765 226.1796
766 226.382
767 226.6722
768 226.966
769 227.2809
770 227.5085
771 227.7689
772 227.9492
773 228.2393
774 228.4918
775 228.8025
776 229.0218
777 229.1749
778 229.5998
779 229.7242
780 230.061
781 230.1675
782 230.4902
783 230.7452
784 231.0095
785 231.2919
786 231.4515
787 231.8293
788 232.0224
789 232.2752
790 232.4363
791 232.7508
792 232.9324
793 233.2079
794 233.4556
795 233.7303
796 234.0385
797 234.171
798 234.4889
799 234.7567
800 234.9724
801 235.2736
802 235.5248
803 235.7397
804 235.9882
805 236.2023
806 236.4957
807 236.6953
808 236.8714
809 237.0996
810 237.4122
811 237.6056
812 237.9701
813 238.2004
814 238.4403
815 238.5066
816 238.854
817 239.0451
818 239.5031
819 239.6254
820 239.8623
821 239.9707
822 240.2851
823 240.5985
824 240.773
825 240.8795
826 241.2999
827 241.4322
828 241.6499
829 241.9206
830 242.3095
831 242.4389
832 242.5854
833 242.9138
834 243.1372
835 243.3408
836 243.6497
837 243.8775
838 244.0437
839 244.2423
840 244.5822
841 244.7716
842 245.0252
843 245.2696
844 245.3836
845 245.5698
846 245.8901
847 246.0865
848 246.3664
849 246.5809
850 246.7849
851 246.9102
852 247.2882
853 247.4734
854 247.6435
855 247.9711
856 248.0581
857 248.3
858 248.5178
859 248.8027
860 248.9867
861 249.2009
862 249.4608
863 249.739
864 250.028
865 250.1562
866 250.434
867 250.6034
868 250.9059
869 250.9897
870 251.322
871 251.5092
872 251.6161
873 252.0178
874 252.0533
875 252.428
876 252.6199
877 252.8202
878 253.0198
879 253.3478
880 253.3533
881 253.7309
882 253.9406
883 254.0956
884 254.2551
885 254.5772
886 254.7382
887 254.9498
888 255.0898
889 255.3088
890 255.4724
891 255.7494
892 256.0947
893 256.3283
894 256.3756
895 256.7154
896 256.8089
897 257.1378
898 257.2197
899 257.5208
900 257.7154
901 257.8664
902 258.1437
903 258.2998
904 258.6099
905 258.6683
906 259.0029
907 259.1761
908 259.2952
909 259.6256
910 259.8642
911 260.0623
912 260.1103
913 260.5113
914 260.5618
915 260.7442
916 260.9376
917 261.2721
918 261.4584
919 261.566
920 261.8195
921 261.9592
922 262.2603
923 262.4166
924 262.6383
925 262.8443
926 263.0764
927 263.1887
928 263.4094
929 263.5185
930 263.9073
931 264.0124
932 264.2367
933 264.374
934 264.5412
935 264.834
936 264.9543
937 265.0953
938 265.4058
939 265.5714
940 265.7766
941 266.0411
942 266.1571
943 266.2989
944 266.5178
945 266.7713
946 267.0854
947 267.1649
948 267.4831
949 267.6304
950 267.7437
951 267.9611
952 268.2046
953 268.3311
954 268.4969
955 268.7106
956 268.8785
957 269.057
958 269.3124
959 269.5011
960 269.698
961 269.908
962 270.0124
963 270.3011
964 270.4105
965 270.5461
966 270.8481
967 270.8995
968 271.1129
969 271.4587
970 271.5646
971 271.6958
972 271.8692
973 272.1294
974 272.2357
975 272.3391
976 272.6598
977 272.8332
978 273.011
979 273.2153
980 273.4513
981 273.6247
982 273.8255
983 273.7929
984 274.0853
985 274.271
986 274.5608
987 274.683
988 274.8517
989 274.916
990 275.2069
991 275.3964
992 275.492
993 275.7753
994 276.0059
995 276.0878
996 276.2657
997 276.5101
998 276.6351
999 276.7399
1000 276.9195
1001 277.3294
1002 277.2765
1003 277.5733
1004 277.6829
1005 277.9676
1006 278.1143
1007 278.2324
1008 278.4472
1009 278.5102
1010 278.7415
1011 278.9695
1012 279.1906
1013 279.2545
1014 279.3397
1015 279.5748
1016 279.8594
1017 279.8059
1018 280.1463
1019 280.2371
1020 280.3793
1021 280.6317
1022 280.829
1023 280.9503
1024 281.106
1025 281.2784
1026 281.574
1027 281.6474
1028 281.6031
1029 281.8575
1030 282.1778
1031 282.3091
1032 282.4936
1033 282.6306
1034 282.7431
1035 282.984
1036 283.1044
1037 283.3441
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1234 310.7039
1235 310.89
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1250 312.4878
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1300 317.8794
1301 317.9519
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1350 322.7366
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1353 323.0096
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1366 324.1465
1367 324.2556
1368 324.3373
1369 324.3254
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1371 324.5284
1372 324.6698
1373 324.7311
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1376 324.9882
1377 325.0298
1378 325.0761
1379 325.1778
1380 325.2686
1381 325.4054
1382 325.4404
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1384 325.6708
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1387 325.8966
1388 325.9515
1389 326.0284
1390 326.1395
1391 326.3659
1392 326.2658
1393 326.4693
1394 326.4757
1395 326.607
1396 326.6908
1397 326.7113
1398 326.8905
1399 327.0157
1400 327.0513
1401 327.0473
1402 327.1764
1403 327.3503
1404 327.2803
1405 327.3786
1406 327.5575
1407 327.6191
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1409 327.8048
1410 327.8688
1411 327.9037
1412 327.978
1413 328.0718
1414 328.1524
1415 328.1756
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1417 328.3889
1418 328.4882
1419 328.5144
1420 328.5631
1421 328.7638
1422 328.8512
1423 328.7923
1424 328.9149
1425 329.1125
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1428 329.2886
1429 329.3065
1430 329.3788
1431 329.4943
1432 329.5236
1433 329.5767
1434 329.6935
1435 329.7937
1436 329.8425
1437 330.0278
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1439 330.1678
1440 330.1845
1441 330.2711
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1443 330.3461
1444 330.531
1445 330.5377
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1447 330.7197
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1449 330.9226
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1451 330.9639
1452 331.1256
1453 331.1808
1454 331.2719
1455 331.2704
1456 331.387
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1458 331.5578
1459 331.6282
1460 331.6149
1461 331.7935
1462 331.8497
1463 331.9122
1464 331.9497
1465 331.9969
1466 332.1219
1467 332.2207
1468 332.3117
1469 332.3546
1470 332.4079
1471 332.5744
1472 332.4826
1473 332.5796
1474 332.8193
1475 332.7554
1476 332.7448
1477 332.8271
1478 332.9311
1479 333.0447
1480 333.174
1481 333.2018
1482 333.2154
1483 333.2826
1484 333.3493
1485 333.4891
1486 333.5421
1487 333.5625
1488 333.6936
1489 333.6999
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1492 333.9998
1493 334.0228
1494 334.0452
1495 334.1637
1496 334.1474
1497 334.1656
1498 334.3512
1499 334.5038
1500 334.5545
1501 334.5292
1502 334.5358
1503 334.7431
1504 334.7436
1505 334.851
1506 334.855
1507 334.9694
1508 335.0026
1509 335.1394
1510 335.1581
1511 335.2477
1512 335.1545
1513 335.388
1514 335.4993
1515 335.5069
1516 335.6214
1517 335.7068
1518 335.6578
1519 335.6668
1520 335.8435
1521 335.9229
1522 335.9859
1523 336.0674
1524 336.0547
1525 336.1106
1526 336.1842
1527 336.2719
1528 336.3741
1529 336.2464
1530 336.4717
1531 336.5101
1532 336.4879
1533 336.6496
1534 336.6968
1535 336.7545
1536 336.8367
1537 336.8887
1538 336.9016
1539 336.9917
1540 337.1328
1541 337.1858
1542 337.2461
1543 337.1844
1544 337.3164
1545 337.4384
1546 337.4806
1547 337.415
1548 337.596
1549 337.5707
1550 337.6934
1551 337.7286
1552 337.8898
1553 337.8968
1554 337.9347
1555 337.9604
1556 338.0309
1557 338.084
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1560 338.3005
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1562 338.4722
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1564 338.5013
1565 338.6548
1566 338.6506
1567 338.6631
1568 338.7382
1569 338.7801
1570 338.8952
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1572 339.0107
1573 339.0888
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1575 339.1828
1576 339.2114
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1578 339.2942
1579 339.4437
1580 339.4892
1581 339.5302
1582 339.5086
1583 339.642
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1585 339.7589
1586 339.8553
1587 339.8891
1588 339.9192
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1590 340.0361
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1592 340.1159
1593 340.1918
1594 340.2167
1595 340.3305
1596 340.3321
1597 340.3777
1598 340.4497
1599 340.5094
1600 340.5605
1601 340.5545
1602 340.6929
1603 340.7558
1604 340.838
1605 340.8186
1606 340.8513
1607 341.0309
1608 341.0341
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1611 341.1954
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1613 341.2786
1614 341.3313
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1620 341.6821
1621 341.614
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1623 341.8657
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1626 341.9412
1627 342.0116
1628 342.0052
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1632 342.2137
1633 342.29
1634 342.3065
1635 342.3894
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1638 342.5625
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1640 342.6749
1641 342.703
1642 342.7125
1643 342.825
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1645 342.8692
1646 342.9767
1647 343.0578
1648 343
1649 343.1355
1650 343.1925
1651 343.1731
1652 343.3062
1653 343.3127
1654 343.337
1655 343.3973
1656 343.4596
1657 343.5443
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1659 343.6114
1660 343.6119
1661 343.7197
1662 343.7416
1663 343.6988
1664 343.8625
1665 343.9167
1666 343.9193
1667 343.9672
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1669 344.0322
1670 344.0387
1671 344.1678
1672 344.1778
1673 344.3408
1674 344.3006
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1676 344.3855
1677 344.4417
1678 344.5478
1679 344.5933
1680 344.5781
1681 344.6374
1682 344.6511
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1684 344.7781
1685 344.8736
1686 344.8461
1687 344.9444
1688 344.9353
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1694 345.2328
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1696 345.3352
1697 345.3397
1698 345.3746
1699 345.4254
1700 345.5209
1701 345.5426
1702 345.6015
1703 345.6391
1704 345.6565
1705 345.6786
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1708 345.8562
1709 345.9132
1710 345.9427
1711 345.9111
1712 346.0157
1713 346.0459
1714 346.0441
1715 346.0802
1716 346.1971
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1718 346.302
1719 346.2303
1720 346.3984
1721 346.3966
1722 346.4529
1723 346.4434
1724 346.4976
1725 346.5301
1726 346.5849
1727 346.655
1728 346.6669
1729 346.7323
1730 346.775
1731 346.82
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1733 346.9107
1734 346.853
1735 347.019
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1737 347.0858
1738 347.0785
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1740 347.0829
1741 347.1995
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1743 347.3451
1744 347.3131
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1747 347.5208
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1749 347.4531
1750 347.5387
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1752 347.6676
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1754 347.6498
1755 347.7027
1756 347.8322
1757 347.8366
1758 347.892
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1761 348.0208
1762 348.0392
1763 348.0628
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1765 348.0997
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1769 348.2647
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1773 348.4552
1774 348.4812
1775 348.5374
1776 348.5799
1777 348.6651
1778 348.6294
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1780 348.7867
1781 348.7699
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1783 348.8061
1784 348.9092
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1786 348.9609
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1790 349.0892
1791 349.0745
1792 349.1284
1793 349.1683
1794 349.1672
1795 349.232
1796 349.3198
1797 349.3587
1798 349.3888
1799 349.4374
1800 349.3838
1801 349.537
1802 349.5778
1803 349.5475
1804 349.5952
1805 349.5711
1806 349.685
1807 349.7208
1808 349.7381
1809 349.7682
1810 349.8159
1811 349.8332
1812 349.9068
1813 349.8601
1814 349.9247
1815 350.0394
1816 350.0136
1817 350.0266
1818 350.0965
1819 350.1019
1820 350.1397
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1822 350.2174
1823 350.2452
1824 350.302
1825 350.3328
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1827 350.4289
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1829 350.4312
1830 350.4767
1831 350.5096
1832 350.5876
1833 350.5563
1834 350.6472
1835 350.569
1836 350.6563
1837 350.7421
1838 350.7283
1839 350.8087
1840 350.717
1841 350.858
1842 350.878
1843 350.9087
1844 350.9456
1845 350.9711
1846 350.9434
1847 351.002
1848 351.0254
1849 351.0724
1850 351.1318
1851 351.124
1852 351.2048
1853 351.2418
1854 351.1976
1855 351.2853
1856 351.326
1857 351.3055
1858 351.4036
1859 351.3757
1860 351.4181
1861 351.5423
1862 351.5535
1863 351.5168
1864 351.5302
1865 351.6513
1866 351.6601
1867 351.6343
1868 351.65
1869 351.7242
1870 351.8311
1871 351.7644
1872 351.7505
1873 351.8663
1874 351.9028
1875 351.8681
1876 351.9321
1877 351.967
1878 351.9152
1879 351.9795
1880 352.0399
1881 352.0854
1882 352.0853
1883 352.1259
1884 352.1353
1885 352.2146
1886 352.2583
1887 352.1904
1888 352.3217
1889 352.3413
1890 352.3305
1891 352.3296
1892 352.4375
1893 352.4207
1894 352.5502
1895 352.5232
1896 352.5315
1897 352.5412
1898 352.5923
1899 352.6251
1900 352.6154
1901 352.6639
1902 352.7645
1903 352.7466
1904 352.6641
1905 352.7512
1906 352.8185
1907 352.7789
1908 352.843
1909 352.879
1910 352.8612
1911 352.9073
1912 352.9601
1913 353.0402
1914 352.9977
1915 353.0345
1916 353.0517
1917 353.1883
1918 353.1995
1919 353.1163
1920 353.1514
1921 353.1797
1922 353.2473
1923 353.2855
1924 353.2916
1925 353.2974
1926 353.3504
1927 353.3946
1928 353.3965
1929 353.3939
1930 353.4986
1931 353.4721
1932 353.5086
1933 353.5267
1934 353.5424
1935 353.5849
1936 353.5857
1937 353.6214
1938 353.6845
1939 353.6868
1940 353.6877
1941 353.761
1942 353.7443
1943 353.83
1944 353.8206
1945 353.9162
1946 353.9367
1947 353.8851
1948 353.8958
1949 353.9227
1950 354.0006
1951 354.0236
1952 354.0439
1953 354.0491
1954 354.1388
1955 354.1339
1956 354.1441
1957 354.1848
1958 354.18
1959 354.2263
1960 354.2539
1961 354.2494
1962 354.2723
1963 354.2873
1964 354.3476
1965 354.314
1966 354.4009
1967 354.478
1968 354.4094
1969 354.4503
1970 354.4753
1971 354.4734
1972 354.4689
1973 354.5505
1974 354.5966
1975 354.5397
1976 354.5919
1977 354.678
1978 354.6727
1979 354.6759
1980 354.7038
1981 354.7585
1982 354.8069
1983 354.773
1984 354.8156
1985 354.8533
1986 354.8888
1987 354.8635
1988 354.9048
1989 354.9546
1990 354.9557
1991 354.9377
1992 355.0448
1993 355.0149
1994 355.0453
1995 355.135
1996 355.0543
1997 355.0804
1998 355.1411
1999 355.1885
2000 355.2211
2001 355.1721
2002 355.234
2003 355.2399
2004 355.3103
2005 355.3
2006 355.322
2007 355.3482
2008 355.375
2009 355.4407
2010 355.4007
2011 355.3923
2012 355.4402
2013 355.4432
2014 355.4771
2015 355.5503
2016 355.5403
2017 355.5185
2018 355.5797
2019 355.5888
2020 355.6266
2021 355.6019
2022 355.6906
2023 355.6634
2024 355.7179
2025 355.7272
2026 355.7679
2027 355.8186
2028 355.7797
2029 355.8038
2030 355.86
2031 355.9215
2032 355.8701
2033 355.933
2034 355.8661
2035 355.9596
2036 355.9444
2037 355.9554
2038 356.0403
2039 356.0357
2040 356.008
2041 356.0428
2042 356.0712
2043 356.0985
2044 356.1731
2045 356.1606
2046 356.1856
2047 356.1856
2048 356.2347
2049 356.2357
2050 356.2685
2051 356.3099
2052 356.3185
2053 356.3356
2054 356.3418
2055 356.353
2056 356.3497
2057 356.4526
2058 356.4059
2059 356.4422
2060 356.4219
2061 356.4627
2062 356.5514
2063 356.5445
2064 356.5373
2065 356.5467
2066 356.543
2067 356.5993
2068 356.6082
2069 356.5931
2070 356.6665
2071 356.6804
2072 356.7023
2073 356.7103
2074 356.8036
2075 356.7289
2076 356.7629
2077 356.8271
2078 356.7634
2079 356.8444
2080 356.9168
2081 356.8391
2082 356.8759
2083 356.9399
2084 356.9539
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