<?xml-stylesheet href='/static/xsl/oai.xsl' type='text/xsl'?>
<ri:Resource created="2019-09-11T07:02:57Z" status="active" updated="2025-05-19T09:50:00Z" version="1.2" xmlns:cs="http://www.ivoa.net/xml/ConeSearch/v1.0" xmlns:ri="http://www.ivoa.net/xml/RegistryInterface/v1.0" xmlns:vr="http://www.ivoa.net/xml/VOResource/v1.0" xmlns:vs="http://www.ivoa.net/xml/VODataService/v1.1" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.ivoa.net/xml/ConeSearch/v1.0 http://vo.ari.uni-heidelberg.de/docs/schemata/ConeSearch.xsd http://www.ivoa.net/xml/VOResource/v1.0 http://vo.ari.uni-heidelberg.de/docs/schemata/VOResource.xsd http://www.ivoa.net/xml/VODataService/v1.1 http://vo.ari.uni-heidelberg.de/docs/schemata/VODataService.xsd" xsi:type="vs:CatalogService"><title>M-dwarf Lum-Temp-Radius relationships</title><shortName>VI/156</shortName><identifier>ivo://CDS.VizieR/VI/156</identifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Morrell S.A.F</name></creator><creator><name>Naylor T.</name></creator><date role="Updated">2020-10-16T09:48:07Z</date><date role="Created">2019-09-11T07:02:57Z</date><contact><name>CDS support team</name><address>CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France</address><email>cds-question@unistra.fr</email></contact></curation><content><subject>late-type-stars</subject><subject>m-stars</subject><subject>stellar-radii</subject><subject>effective-temperature</subject><subject>apparent-magnitude</subject><description>There is growing evidence that M-dwarf stars suffer radius inflation when compared to theoretical models, suggesting that models are missing some key physics required to completely describe stars at effective temperatures (TSED) less than about 4000K. The advent of Gaia DR2 distances finally makes available large datasets to determine the nature and extent of this effect.We employ an all-sky sample, comprising of &gt;15000 stars, to determine empirical relation-ships between luminosity, temperature and radius.This is accomplished using only geometric distances and multiwave-band photometry, by utilising a modified spectral energy distribution fitting method. The radii we measure show an inflation of 3-7% compared to models, but nomore than a 1-2% intrinsic spread in the inflated sequence. We show that we are currently able to determine M-dwarf radii to an accuracy of 2.4% using our method. However, we determine that this is limited by the precision of metallicity measurements, which contribute 1.7% to the measured radius scatter. We also present evidence that stellar magnetism is currently unable to explain radius inflation in M-dwarfs.</description><source format="bibcode">2019MNRAS.489.2615M</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/VI/156</referenceURL><type>Catalog</type><contentLevel>Research</contentLevel><relationship><relationshipType>IsServedBy</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/TAP">TAP VizieR generic service</relatedResource></relationship><relationship><relationshipType>IsServedBy</relationshipType><relatedResource>Conesearch service</relatedResource></relationship><relationship><relationshipType>related-to</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/I/345">I/345 : Gaia DR2 (Gaia Collaboration, 2018)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/I/347">I/347 : Distances to 1.33 billion stars in Gaia DR2</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/II/246">II/246 : 2MASS All-Sky Catalog of Point Sources (Cutri+ 2003)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/II/321">II/321 : IPHAS DR2 Source Catalogue (Barentsen+, 2014)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/II/328">II/328 : AllWISE Data Release (Cutri+ 2013)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/II/341">II/341 : VPHAS+ DR2 survey (Drew+, 2016)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/IV/35">IV/35 : Gaia DR2-WISE Galactic Plane Matches (Wilson+, 2018)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/IX/50">IX/50 : XMM-Newton Serendipitous Source Catalogue 3XMM-DR6</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/MNRAS/432/1203">J/MNRAS/432/1203 : Rotation periods of M-dwarf stars (McQuillan+, 2013)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJS/211/24">J/ApJS/211/24 : Rotation periods of Kepler MS stars (McQuillan+, 2014)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/MNRAS/443/2561">J/MNRAS/443/2561 : CONCH-SHELL catalog of nearby M dwarfs (Gaidos+, 2014)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJS/220/16">J/ApJS/220/16 : SpeX NIR survey of 886 nearby M dwarfs (Terrien+, 2015)</relatedResource></relationship></content><rights>https://cds.unistra.fr/vizier-org/licences_vizier.html</rights><capability><interface xsi:type="vr:WebBrowser"><accessURL use="full">https://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=VI/156</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=VI/156</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=VI/156</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=VI/156</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=VI/156</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=VI/156</mirrorURL><queryType>GET</queryType><resultType>text/xml+votable</resultType></interface></capability><capability standardID="ivo://ivoa.net/std/TAP#aux"><interface xsi:type="vs:ParamHTTP" role="std"><accessURL use="base">https://tapvizier.cds.unistra.fr/TAPVizieR/tap</accessURL></interface></capability><capability xsi:type="cs:ConeSearch" standardID="ivo://ivoa.net/std/ConeSearch"><description>Cone search capability for table VI/156/mdwarfp (Input data and fitted properties for stars in our (updated version, 16-Oct-2020))</description><interface xsi:type="vs:ParamHTTP" role="std"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/conesearch/VI/156/mdwarfp?</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/conesearch/VI/156/mdwarfp?</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/conesearch/VI/156/mdwarfp?</mirrorURL><queryType>GET</queryType><resultType>text/xml+votable</resultType></interface><maxSR>180.0</maxSR><maxRecords>50000</maxRecords><verbosity>true</verbosity><testQuery><ra>202.293692983783</ra><dec>-70.8375330634745</dec><sr>0.005555555555555556</sr></testQuery></capability><coverage><spatial>5/9 82 217 323 415 457 480 1028 1190 1306 1330 1668 1744 1787 1809 1816 1868 2013 2061 2125 2149 2266 2336 2342 2349 2397 2495 2498 2777 3216 3338 3458 3475 3528 3572 3616 3625 3640 3735 3749 3830 4043 4147 4833 5047 5122 5152 5346 5351 5503 5516 5616 5647 5702 5875 5877 5892 6031 6059 6082 6378 6582 6785 6942 7189 7704 7750 7980 7994 8008 8018 8043 8044 8081 8084 8116 8159 8162 8207 8529 8593 8600 8761 8793 9029 9083 9219 9243 9518 9610 10024 10227 10266 10268 10291 10326 10340 10375 10499 10529 11128 11279 11282 11331 11361 11434 11450 11467 11474 11485 11554 11595 11868 12154 6/3 4 8 9 11 19 33 42 49 53 62 66 70 71 76 84 87 90 94 97 99 103 105 113 114 116 121 124 126 129 130 136 143 144 146 147 148 149 158 166 167 172 173 174 176 181 182 186 192 196 202 203 217 220 221 225 227 237 238 241 243 245 249 252 254 257 259 270 272 276 280 284 300 303 319 325 338 340 341 344 357 359 360 363 365 385 395 397 398 403 410 412 414 424 439 444 446 449 450 451 452 453 456 465 472 478 482 485 487 493 500 503 508 509 512 515 519 526 530 531 533 536 538 540 546 558 559 566 568 576 577 579 588 590 598 599 600 606 613 617 618 628 634 635 637 643 645 650 654 663 670 680 686 688 692 694 701 703 709 715 718 722 729 734 738 742 743 744 746 758 760 770 772 773 775 780 782 784 785 789 791 792 795 797 801 812 816 817 821 822 832 834 835 844 846 847 848 849 851 855 863 873 879 892 898 901 904 905 920 922 925 927 929 931 933 937 938 940 942 948 957 963 965 969 972 973 975 993 998 1019 1020 1023 1030 1041 1042 1044 1046 1047 1048 1051 1052 1064 1067 1070 1090 1091 1094 1096 1099 1107 1111 1114 1116 1118 1120 1127 1129 1133 1134 1140 1141 1143 1146 1148 1152 1153 1155 1157 1160 1161 1164 1165 1166 1176 1178 1193 1197 1198 1200 1201 1202 1205 1206 1213 1214 1216 1225 1226 1227 1231 1236 1240 1242 1243 1245 1250 1271 1274 1276 1278 1280 1282 1284 1303 1304 1309 1310 1311 1312 1315 1319 1322 1326 1332 1334 1337 1338 1341 1348 1352 1357 1358 1359 1360 1365 1368 1373 1381 1388 1397 1403 1405 1406 1407 1410 1411 1416 1420 1422 1425 1429 1432 1443 1447 1450 1451 1460 1461 1462 1464 1465 1466 1468 1470 1475 1482 1484 1486 1487 1488 1489 1496 1498 1502 1503 1509 1514 1515 1518 1523 1524 1527 1528 1530 1532 1538 1546 1549 1550 1552 1555 1556 1557 1563 1566 1573 1576 1585 1591 1593 1595 1597 1599 1606 1608 1609 1612 1618 1619 1624 1630 1637 1639 1643 1651 1658 1669 1670 1671 1673 1674 1681 1683 1687 1688 1691 1692 1695 1701 1703 1706 1709 1711 1713 1723 1730 1731 1735 1736 1737 1739 1743 1748 1750 1751 1753 1754 1758 1766 1767 1768 1770 1771 1772 1775 1776 1778 1784 1787 1788 1793 1799 1803 1806 1808 1811 1815 1817 1818 1820 1821 1827 1832 1834 1835 1837 1838 1839 1840 1844 1847 1848 1851 1852 1854 1859 1863 1864 1867 1868 1870 1872 1879 1882 1884 1887 1889 1891 1899 1900 1903 1905 1908 1913 1915 1917 1924 1925 1926 1931 1938 1942 1944 1948 1955 1956 1957 1958 1961 1967 1968 1973 1977 1983 1988 1990 1991 1992 1995 1998 2005 2006 2007 2011 2012 2022 2027 2029 2031 2032 2033 2036 2037 2040 2042 2044 2045 2049 2058 2062 2063 2081 2088 2091 2099 2101 2102 2105 2109 2115 2121 2125 2130 2134 2139 2141 2148 2149 2158 2161 2167 2175 2177 2178 2185 2188 2191 2193 2199 2210 2214 2215 2216 2218 2219 2226 2227 2231 2232 2237 2240 2248 2249 2252 2256 2258 2261 2266 2267 2271 2288 2293 2294 2295 2299 2305 2306 2307 2308 2311 2314 2316 2328 2329 2332 2333 2334 2338 2339 2344 2345 2349 2350 2354 2356 2358 2360 2367 2369 2375 2384 2395 2397 2428 2433 2435 2438 2445 2447 2450 2452 2478 2491 2509 2510 2516 2518 2519 2523 2525 2534 2541 2546 2549 2564 2567 2568 2573 2575 2580 2591 2600 2605 2611 2620 2625 2627 2632 2634 2636 2639 2642 2645 2650 2651 2653 2661 2664 2666 2667 2668 2681 2689 2693 2696 2702 2704 2705 2706 2713 2728 2730 2732 2736 2738 2740 2742 2743 2745 2749 2753 2754 2755 2757 2782 2787 2790 2791 2794 2799 2800 2810 2811 2815 2817 2820 2821 2835 2836 2844 2846 2847 2848 2849 2865 2867 2872 2874 2875 2880 2883 2887 2895 2900 2907 2909 2910 2912 2920 2922 2923 2929 2932 2935 2936 2938 2943 2947 2949 2953 2955 2958 2961 2963 2968 2973 2979 2985 2990 2993 2994 2995 3002 3003 3005 3011 3013 3015 3017 3019 3024 3025 3027 3030 3031 3032 3041 3043 3045 3049 3051 3055 3057 3061 3075 3083 3085 3089 3092 3099 3102 3105 3109 3110 3111 3112 3113 3115 3117 3118 3123 3126 3127 3133 3135 3137 3142 3143 3146 3147 3149 3155 3156 3157 3159 3167 3174 3179 3190 3193 3196 3197 3201 3202 3204 3211 3212 3215 3217 3218 3220 3229 3230 3233 3235 3245 3264 3267 3273 3274 3275 3276 3279 3280 3281 3283 3287 3294 3295 3298 3303 3309 3313 3316 3329 3331 3334 3340 3341 3345 3349 3352 3355 3364 3374 3380 3381 3383 3387 3390 3398 3401 3403 3405 3407 3408 3410 3414 3416 3418 3419 3421 3423 3424 3425 3427 3429 3435 3437 3439 3440 3445 3450 3454 3456 3459 3462 3466 3468 3471 3474 3475 3477 3478 3479 3480 3485 3486 3487 3490 3496 3497 3499 3502 3504 3505 3507 3508 3514 3515 3517 3519 3524 3528 3532 3534 3537 3540 3546 3560 3563 3564 3572 3574 3575 3576 3578 3581 3582 3584 3585 3593 3598 3599 3601 3603 3610 3611 3612 3613 3615 3616 3622 3636 3637 3638 3640 3644 3645 3646 3648 3650 3652 3654 3660 3662 3665 3670 3672 3674 3677 3678 3682 3684 3685 3686 3689 3693 3697 3702 3707 3709 3712 3717 3718 3719 3722 3731 3733 3736 3741 3742 3743 3744 3745 3748 3751 3752 3753 3755 3758 3759 3762 3764 3766 3767 3768 3772 3773 3776 3777 3778 3780 3781 3782 3794 3795 3797 3798 3802 3803 3805 3808 3811 3815 3816 3818 3822 3826 3828 3829 3834 3839 3843 3850 3851 3852 3853 3856 3860 3861 3862 3865 3866 3867 3869 3870 3873 3876 3880 3883 3885 3888 3889 3892 3894 3896 3898 3899 3902 3906 3907 3910 3913 3914 3915 3916 3919 3922 3928 3929 3930 3935 3936 3937 3938 3941 3943 3947 3948 3949 3953 3959 3961 3962 3963 3965 3971 3972 3979 3981 3982 3986 3990 3995 3999 4001 4008 4009 4010 4012 4013 4014 4017 4018 4019 4020 4021 4023 4025 4027 4032 4038 4040 4041 4042 4045 4047 4048 4050 4051 4052 4054 4055 4057 4059 4061 4062 4065 4066 4072 4074 4075 4078 4079 4080 4084 4086 4088 4089 4092 4098 4103 4116 4127 4130 4131 4133 4137 4139 4143 4144 4151 4153 4157 4160 4161 4163 4164 4166 4169 4171 4175 4176 4179 4184 4185 4191 4193 4201 4203 4216 4217 4222 4225 4226 4230 4231 4239 4244 4245 4246 4248 4251 4258 4265 4267 4271 4273 4289 4290 4296 4298 4299 4302 4306 4308 4309 4313 4315 4317 4318 4320 4322 4324 4328 4329 4332 4339 4348 4350 4354 4355 4359 4383 4387 4389 4393 4395 4406 4407 4412 4414 4424 4425 4430 4433 4435 4444 4450 4452 4453 4460 4461 4472 4475 4489 4491 4498 4502 4503 4508 4512 4514 4516 4518 4520 4527 4541 4542 4550 4556 4562 4568 4569 4577 4578 4579 4580 4581 4585 4588 4593 4594 4598 4603 4604 4608 4609 4616 4617 4619 4620 4633 4634 4637 4641 4642 4643 4644 4651 4652 4654 4655 4656 4657 4659 4664 4665 4669 4670 4675 4676 4677 4678 4680 4682 4684 4688 4695 4704 4707 4710 4717 4718 4719 4725 4730 4733 4737 4741 4742 4746 4748 4749 4754 4764 4766 4771 4773 4779 4781 4786 4789 4791 4796 4807 4808 4811 4818 4820 4828 4838 4839 4842 4843 4847 4848 4850 4853 4855 4858 4877 4890 4893 4901 4902 4907 4909 4915 4919 4922 4935 4936 4943 4945 4947 4957 4958 4970 4972 4974 4982 4983 4990 5000 5001 5005 5011 5014 5016 5017 5019 5020 5028 5032 5036 5042 5043 5049 5051 5053 5056 5057 5069 5074 5076 5081 5098 5103 5105 5106 5108 5115 5121 5131 5135 5136 5157 5158 5159 5160 5163 5172 5177 5181 5190 5196 5197 5198 5205 5211 5217 5218 5219 5233 5238 5243 5251 5261 5269 5277 5285 5287 5291 5294 5310 5311 5315 5318 5327 5332 5333 5334 5336 5337 5339 5343 5345 5346 5347 5348 5358 5371 5379 5380 5383 5386 5387 5397 5399 5408 5413 5414 5428 5434 5436 5439 5441 5445 5454 5457 5458 5459 5469 5472 5477 5479 5480 5481 5482 5487 5494 5496 5497 5504 5507 5509 5510 5511 5516 5521 5524 5528 5530 5537 5539 5540 5541 5542 5555 5557 5560 5562 5572 5580 5583 5591 5610 5613 5619 5620 5626 5627 5641 5643 5646 5664 5679 5682 5686 5691 5695 5700 5701 5703 5714 5716 5720 5723 5724 5727 5729 5734 5736 5748 5755 5761 5765 5767 5768 5770 5773 5775 5777 5778 5786 5787 5788 5791 5792 5796 5798 5801 5804 5807 5808 5813 5819 5820 5823 5825 5832 5833 5839 5840 5846 5848 5857 5858 5861 5862 5875 5876 5877 5879 5882 5883 5891 5892 5897 5898 5900 5904 5916 5919 5922 5924 5932 5940 5941 5946 5948 5949 5954 5957 5962 5964 5968 5977 5982 5984 5988 5992 6000 6008 6009 6010 6017 6022 6026 6027 6028 6029 6031 6032 6037 6038 6041 6051 6055 6059 6060 6061 6063 6064 6065 6070 6072 6084 6085 6088 6093 6097 6099 6100 6101 6111 6122 6130 6132 6137 6140 6141 6142 6144 6145 6158 6159 6163 6165 6172 6173 6181 6191 6200 6201 6208 6209 6211 6223 6230 6231 6232 6235 6238 6245 6253 6254 6255 6257 6272 6281 6285 6286 6290 6293 6294 6305 6308 6312 6313 6317 6321 6324 6326 6328 6332 6333 6338 6339 6341 6345 6347 6348 6351 6360 6362 6365 6368 6369 6370 6374 6375 6377 6378 6379 6381 6387 6389 6392 6395 6399 6401 6402 6407 6415 6419 6420 6424 6433 6436 6438 6446 6447 6448 6449 6451 6452 6454 6456 6458 6466 6471 6477 6478 6482 6484 6486 6487 6492 6495 6502 6508 6509 6510 6512 6515 6517 6518 6519 6523 6526 6527 6529 6530 6533 6538 6539 6550 6552 6553 6557 6562 6565 6568 6569 6572 6575 6576 6577 6583 6588 6589 6595 6596 6597 6603 6605 6606 6608 6613 6630 6631 6634 6638 6639 6648 6655 6659 6665 6667 6680 6686 6687 6691 6696 6706 6711 6715 6726 6728 6731 6734 6735 6754 6757 6764 6768 6769 6775 6780 6782 6783 6784 6786 6788 6790 6793 6794 6798 6807 6810 6812 6817 6819 6820 6823 6825 6826 6827 6830 6833 6843 6844 6852 6853 6855 6862 6867 6872 6874 6875 6878 6880 6882 6883 6885 6886 6889 6896 6898 6901 6905 6906 6907 6909 6912 6913 6919 6920 6921 6924 6925 6928 6930 6935 6936 6938 6939 6943 6947 6949 6952 6957 6958 6959 6963 6966 6967 6980 6981 6983 6984 6992 6993 6995 6997 6999 7003 7007 7014 7016 7019 7020 7022 7026 7034 7042 7043 7045 7046 7057 7058 7061 7063 7065 7073 7074 7075 7076 7077 7078 7089 7092 7093 7096 7097 7104 7117 7118 7124 7126 7135 7136 7143 7144 7146 7147 7154 7155 7158 7161 7164 7167 7172 7174 7176 7185 7189 7193 7194 7195 7197 7198 7201 7205 7207 7210 7212 7216 7219 7225 7228 7229 7230 7245 7248 7249 7250 7252 7261 7263 7270 7274 7277 7278 7279 7281 7290 7299 7301 7302 7313 7321 7322 7326 7327 7329 7332 7334 7335 7344 7347 7348 7351 7352 7355 7360 7362 7364 7367 7368 7372 7378 7380 7382 7383 7385 7386 7387 7390 7393 7394 7395 7396 7398 7402 7404 7409 7411 7416 7417 7431 7435 7436 7437 7439 7444 7445 7447 7448 7455 7457 7462 7479 7482 7483 7485 7488 7490 7497 7500 7501 7515 7520 7522 7526 7527 7529 7534 7535 7539 7542 7543 7544 7547 7553 7559 7561 7562 7563 7568 7569 7570 7575 7581 7585 7586 7596 7599 7602 7603 7604 7606 7611 7614 7622 7625 7627 7630 7632 7637 7643 7645 7648 7650 7651 7672 7679 7681 7683 7687 7688 7691 7693 7696 7698 7703 7705 7706 7708 7710 7718 7719 7720 7724 7730 7731 7732 7733 7735 7737 7739 7743 7744 7746 7748 7749 7751 7755 7758 7760 7764 7766 7767 7776 7798 7813 7818 7819 7823 7824 7829 7830 7835 7836 7845 7846 7851 7852 7857 7858 7859 7864 7872 7874 7889 7909 7914 7924 7930 7934 7940 7943 7944 7946 7952 7953 7954 7957 7958 7959 7961 7962 7967 7968 7975 7979 7994 7996 7997 8002 8004 8006 8007 8008 8009 8010 8012 8016 8017 8018 8027 8028 8030 8036 8037 8041 8042 8044 8046 8048 8059 8062 8068 8070 8077 8083 8086 8090 8094 8096 8101 8102 8104 8105 8109 8114 8117 8122 8125 8127 8128 8129 8130 8135 8136 8139 8141 8146 8148 8151 8152 8153 8157 8160 8161 8162 8165 8166 8167 8169 8171 8177 8179 8182 8183 8184 8185 8187 8189 8190 8193 8194 8199 8200 8201 8205 8206 8213 8217 8221 8235 8236 8237 8239 8242 8248 8250 8257 8259 8260 8269 8270 8275 8280 8281 8282 8285 8288 8291 8296 8297 8299 8300 8302 8307 8311 8312 8327 8336 8337 8340 8351 8360 8366 8368 8370 8376 8377 8381 8394 8396 8399 8401 8403 8405 8408 8421 8432 8433 8437 8443 8448 8450 8456 8457 8476 8485 8486 8491 8496 8497 8506 8507 8509 8511 8517 8522 8524 8527 8528 8529 8536 8540 8541 8543 8544 8545 8546 8548 8555 8561 8562 8564 8568 8571 8574 8578 8580 8581 8586 8590 8592 8594 8603 8605 8606 8608 8609 8610 8619 8620 8621 8625 8629 8631 8633 8636 8639 8643 8646 8651 8652 8653 8655 8658 8660 8661 8663 8667 8668 8670 8672 8674 8677 8680 8692 8693 8699 8701 8702 8707 8716 8717 8720 8724 8725 8731 8736 8738 8740 8742 8745 8756 8759 8760 8762 8763 8766 8769 8782 8788 8790 8793 8794 8797 8805 8808 8810 8817 8821 8836 8842 8849 8850 8851 8852 8854 8857 8859 8869 8873 8887 8897 8900 8914 8922 8923 8926 8929 8934 8941 8943 8944 8952 8956 8964 8971 8974 8976 8980 8981 8982 8984 8986 8987 8990 8998 9002 9003 9004 9007 9015 9021 9026 9028 9029 9030 9035 9037 9039 9043 9044 9049 9051 9053 9059 9062 9069 9073 9076 9077 9082 9083 9090 9092 9100 9102 9104 9106 9109 9111 9115 9126 9136 9137 9142 9147 9148 9150 9152 9154 9157 9158 9164 9168 9169 9173 9174 9186 9188 9189 9194 9207 9211 9216 9217 9218 9221 9222 9229 9230 9231 9234 9238 9241 9244 9248 9250 9251 9252 9253 9254 9261 9263 9271 9272 9274 9277 9278 9283 9284 9286 9288 9289 9290 9292 9294 9295 9296 9299 9300 9303 9304 9308 9313 9315 9317 9328 9329 9330 9333 9338 9339 9341 9342 9348 9349 9351 9356 9358 9360 9361 9364 9373 9374 9379 9383 9387 9388 9391 9400 9401 9402 9406 9407 9410 9417 9420 9422 9424 9425 9428 9430 9431 9446 9449 9451 9454 9457 9458 9460 9463 9465 9466 9467 9470 9471 9472 9473 9475 9480 9485 9486 9487 9488 9489 9491 9492 9494 9495 9496 9501 9506 9507 9508 9509 9515 9519 9520 9522 9524 9525 9528 9529 9530 9532 9534 9535 9536 9538 9539 9543 9545 9546 9548 9549 9551 9552 9553 9557 9558 9560 9562 9565 9568 9569 9571 9572 9574 9575 9576 9580 9583 9585 9593 9596 9598 9599 9600 9602 9606 9608 9615 9619 9620 9625 9626 9628 9630 9641 9643 9647 9648 9653 9654 9655 9661 9663 9664 9666 9667 9668 9669 9672 9673 9683 9684 9685 9686 9689 9691 9695 9696 9697 9698 9702 9704 9707 9710 9711 9717 9725 9729 9734 9738 9739 9740 9741 9744 9746 9749 9753 9756 9757 9759 9760 9762 9763 9765 9768 9771 9772 9773 9775 9776 9778 9779 9781 9783 9788 9791 9793 9795 9804 9807 9808 9814 9815 9816 9821 9825 9826 9827 9831 9834 9837 9846 9847 9849 9852 9853 9855 9856 9858 9860 9865 9866 9868 9870 9871 9872 9877 9879 9882 9888 9891 9892 9893 9895 9896 9897 9900 9901 9906 9910 9912 9914 9917 9926 9927 9934 9935 9937 9940 9952 9958 9963 9964 9966 9969 9976 9977 9978 9984 9985 9988 9998 10000 10002 10003 10005 10010 10016 10017 10019 10025 10027 10028 10031 10035 10038 10041 10043 10045 10046 10047 10049 10050 10052 10055 10056 10059 10061 10072 10074 10101 10104 10107 10109 10111 10114 10115 10118 10121 10125 10128 10131 10133 10135 10140 10144 10146 10161 10170 10172 10177 10184 10186 10192 10195 10197 10199 10221 10226 10229 10232 10240 10242 10251 10252 10257 10258 10260 10261 10262 10268 10269 10276 10286 10289 10300 10305 10308 10310 10314 10316 10320 10326 10332 10334 10335 10338 10340 10342 10343 10347 10349 10350 10356 10359 10361 10367 10368 10369 10374 10377 10379 10390 10401 10406 10414 10425 10428 10430 10437 10439 10450 10453 10455 10456 10459 10460 10464 10467 10468 10470 10471 10473 10474 10488 10490 10492 10495 10496 10499 10500 10502 10504 10513 10521 10522 10526 10530 10534 10536 10537 10546 10548 10550 10551 10552 10554 10556 10557 10558 10562 10564 10568 10569 10573 10575 10576 10584 10591 10595 10596 10597 10599 10602 10605 10607 10612 10615 10617 10627 10628 10629 10634 10640 10646 10647 10651 10653 10654 10658 10660 10664 10665 10666 10671 10683 10684 10694 10695 10699 10708 10715 10720 10726 10733 10736 10738 10740 10745 10748 10752 10754 10756 10758 10760 10763 10770 10772 10779 10782 10785 10788 10790 10793 10796 10803 10810 10814 10815 10816 10817 10819 10821 10827 10828 10831 10834 10840 10841 10842 10845 10853 10854 10855 10856 10857 10858 10869 10873 10877 10880 10881 10883 10891 10894 10897 10906 10907 10912 10916 10920 10924 10928 10938 10945 10949 10950 10951 10953 10960 10963 10964 10966 10969 10972 10973 10977 10982 10987 10990 10991 11000 11001 11004 11006 11010 11011 11012 11017 11018 11022 11028 11029 11031 11032 11033 11039 11045 11046 11047 11048 11050 11054 11056 11057 11058 11063 11064 11066 11067 11073 11075 11078 11091 11096 11102 11104 11106 11107 11115 11119 11123 11125 11126 11131 11133 11134 11147 11148 11152 11153 11158 11159 11161 11175 11177 11182 11186 11196 11197 11198 11203 11209 11210 11215 11216 11219 11226 11227 11229 11231 11232 11234 11235 11239 11242 11245 11247 11249 11251 11252 11253 11263 11264 11267 11269 11274 11279 11283 11298 11307 11309 11312 11313 11314 11322 11323 11325 11332 11334 11336 11340 11344 11345 11370 11372 11379 11382 11384 11388 11392 11399 11400 11402 11405 11408 11418 11421 11422 11428 11430 11431 11432 11434 11438 11441 11455 11465 11471 11475 11479 11485 11486 11490 11491 11492 11493 11496 11499 11502 11509 11511 11518 11530 11531 11532 11547 11549 11550 11552 11553 11560 11566 11590 11592 11593 11618 11622 11625 11647 11657 11668 11673 11683 11690 11719 11735 11736 11738 11743 11748 11751 11761 11767 11770 11771 11776 11778 11779 11780 11781 11785 11789 11790 11800 11810 11813 11816 11818 11819 11820 11821 11828 11832 11835 11839 11840 11842 11843 11844 11846 11853 11858 11859 11874 11877 11878 11885 11888 11890 11893 11903 11904 11905 11906 11908 11914 11916 11921 11927 11930 11940 11943 11944 11946 11948 11950 11952 11954 11955 11956 11959 11960 11961 11964 11968 11969 11975 11981 11993 11994 11997 12008 12012 12016 12017 12023 12027 12038 12039 12044 12054 12056 12059 12064 12069 12070 12075 12080 12095 12099 12114 12127 12129 12131 12134 12136 12139 12145 12150 12155 12159 12160 12161 12164 12165 12166 12168 12175 12177 12186 12189 12195 12201 12202 12205 12210 12218 12220 12221 12229 12234 12235 12237 12238 12239 12240 12244 12246 12247 12250 12254 12261 12263 12266 12273 12276 12277 12283 12285 12289 12290 12291 12292 12299 12302 12304 12308 12313 12316 12317 12321 12325 12331 12332 12334 12344 12347 12348 12350 12353 12356 12368 12370 12371 12374 12376 12380 12384 12386 12389 12394 12395 12398 12399 12400 12403 12408 12425 12426 12431 12434 12441 12443 12448 12449 12452 12456 12461 12468 12470 12474 12484 12485 12487 12488 12491 12494 12495 12497 12498 12505 12508 12512 12514 12521 12522 12523 12524 12525 12526 12532 12533 12534 12537 12539 12542 12545 12547 12549 12552 12553 12554 12557 12558 12561 12563 12564 12566 12567 12569 12570 12572 12574 12579 12586 12593 12602 12605 12607 12609 12610 12611 12616 12624 12625 12627 12630 12631 12638 12641 12643 12644 12650 12655 12662 12665 12666 12672 12675 12679 12682 12689 12691 12692 12696 12702 12703 12704 12708 12711 12718 12724 12726 12727 12728 12729 12730 12732 12734 12736 12737 12743 12746 12747 12749 12752 12754 12755 12764 12767 12768 12772 12774 12780 12781 12782 12785 12786 12790 12792 12793 12795 12796 12799 12801 12803 12806 12808 12812 12813 12814 12816 12821 12822 12826 12829 12830 12839 12849 12850 12852 12853 12862 12876 12877 12878 12882 12884 12888 12890 12892 12903 12910 12911 12913 12914 12915 12920 12922 12924 12925 12934 12936 12941 12948 12954 12957 12959 12960 12961 12970 12979 12982 12987 12990 12996 12998 12999 13003 13004 13006 13008 13009 13010 13016 13021 13025 13028 13041 13043 13045 13046 13047 13049 13050 13052 13053 13056 13059 13067 13071 13073 13074 13075 13076 13078 13080 13081 13084 13091 13093 13098 13101 13105 13108 13109 13114 13119 13121 13126 13128 13129 13136 13142 13143 13148 13152 13153 13157 13159 13160 13164 13165 13170 13171 13178 13183 13186 13187 13188 13190 13203 13205 13206 13207 13208 13215 13221 13223 13224 13231 13233 13238 13241 13249 13252 13254 13259 13260 13264 13268 13269 13278 13279 13283 13284 13286 13288 13294 13300 13303 13306 13307 13313 13314 13317 13324 13325 13326 13334 13335 13339 13340 13343 13344 13347 13357 13368 13369 13375 13384 13392 13393 13407 13408 13410 13411 13414 13418 13420 13421 13424 13429 13433 13435 13438 13444 13446 13455 13459 13467 13476 13479 13481 13486 13488 13489 13492 13493 13495 13499 13502 13503 13506 13511 13514 13515 13525 13527 13529 13535 13536 13537 13538 13541 13544 13548 13550 13556 13557 13559 13560 13566 13571 13572 13575 13576 13579 13582 13583 13594 13595 13596 13598 13603 13606 13610 13611 13614 13615 13617 13618 13627 13630 13647 13651 13658 13660 13663 13668 13669 13671 13688 13693 13694 13696 13697 13698 13700 13702 13703 13704 13718 13719 13720 13722 13723 13726 13728 13730 13733 13737 13738 13741 13742 13745 13746 13747 13754 13763 13767 13771 13772 13775 13777 13783 13787 13791 13794 13798 13800 13806 13811 13818 13821 13826 13829 13830 13842 13845 13846 13847 13848 13853 13857 13861 13863 13864 13866 13868 13869 13873 13874 13877 13878 13879 13882 13887 13894 13899 13905 13910 13912 13916 13917 13922 13923 13925 13927 13929 13933 13935 13938 13939 13946 13947 13948 13950 13953 13954 13958 13963 13966 13970 13974 13975 13976 13982 13990 13996 13997 13998 14000 14002 14005 14006 14010 14014 14030 14034 14036 14038 14046 14050 14056 14057 14059 14067 14068 14069 14072 14080 14081 14082 14086 14093 14096 14097 14101 14102 14111 14118 14125 14126 14145 14146 14147 14149 14151 14152 14154 14156 14158 14162 14164 14174 14182 14185 14191 14193 14195 14201 14206 14214 14217 14218 14230 14237 14239 14240 14248 14258 14260 14278 14297 14299 14304 14315 14324 14329 14338 14350 14355 14362 14363 14365 14366 14368 14370 14373 14375 14380 14382 14383 14384 14387 14389 14390 14392 14393 14394 14396 14408 14423 14424 14429 14435 14438 14443 14445 14447 14448 14451 14472 14477 14478 14480 14484 14487 14489 14491 14495 14498 14504 14505 14506 14514 14516 14517 14520 14521 14523 14524 14525 14531 14532 14537 14541 14542 14544 14546 14551 14552 14553 14570 14571 14574 14578 14584 14586 14587 14589 14591 14610 14611 14618 14625 14632 14638 14642 14655 14657 14658 14663 14675 14678 14682 14685 14686 14687 14696 14703 14712 14716 14720 14728 14734 14735 14740 14742 14745 14749 14752 14755 14762 14766 14767 14769 14772 14780 14783 14785 14794 14797 14800 14805 14806 14811 14813 14835 14840 14845 14849 14853 14856 14858 14859 14860 14867 14868 14869 14871 14875 14876 14877 14879 14881 14882 14885 14888 14892 14893 14895 14899 14900 14905 14908 14909 14911 14915 14918 14919 14921 14924 14925 14928 14930 14934 14935 14936 14939 14944 14945 14946 14950 14951 14953 14954 14955 14956 14960 14961 14962 14964 14967 14970 14976 14977 14980 14981 14987 14989 14991 14995 15006 15008 15010 15011 15015 15016 15017 15021 15022 15023 15024 15026 15028 15031 15036 15037 15039 15042 15045 15049 15051 15055 15057 15059 15062 15063 15065 15066 15070 15071 15072 15073 15075 15076 15078 15079 15081 15082 15085 15087 15096 15097 15099 15100 15104 15105 15107 15109 15111 15113 15116 15117 15119 15125 15126 15127 15131 15132 15133 15135 15136 15139 15140 15144 15145 15151 15161 15170 15176 15179 15181 15184 15186 15189 15190 15191 15199 15208 15235 15237 15240 15246 15248 15263 15264 15273 15274 15278 15284 15303 15305 15311 15314 15316 15324 15328 15329 15338 15344 15347 15356 15360 15361 15365 15366 15368 15373 15377 15378 15380 15392 15395 15398 15406 15413 15414 15424 15429 15436 15439 15440 15442 15450 15454 15460 15463 15468 15475 15477 15478 15483 15487 15488 15491 15496 15501 15503 15504 15506 15507 15508 15509 15517 15518 15519 15520 15522 15525 15528 15529 15532 15540 15546 15549 15551 15552 15557 15562 15567 15569 15571 15574 15575 15577 15579 15595 15603 15606 15607 15615 15622 15627 15641 15642 15653 15662 15665 15671 15672 15675 15679 15681 15686 15691 15692 15693 15696 15705 15707 15708 15713 15721 15724 15740 15741 15744 15751 15754 15766 15771 15781 15782 15784 15785 15793 15799 15808 15809 15818 15821 15831 15832 15833 15834 15836 15838 15840 15842 15848 15852 15854 15856 15859 15865 15870 15878 15880 15883 15886 15889 15892 15931 15972 15984 16000 16007 16016 16043 16055 16094 16102 16109 16111 16120 16121 16122 16125 16127 16128 16134 16135 16141 16156 16157 16176 16181 16182 16186 16188 16196 16200 16213 16215 16216 16218 16219 16220 16221 16222 16224 16237 16238 16241 16243 16244 16245 16247 16251 16256 16257 16260 16261 16265 16267 16271 16272 16279 16280 16284 16286 16292 16299 16301 16303 16312 16319 16320 16327 16328 16330 16332 16335 16338 16342 16343 16344 16345 16348 16349 16352 16353 16357 16358 16360 16361 16362 16367 16372 16373 16375 16378 16379 16381 16385 16392 16412 16416 16417 16420 16429 16444 16452 16458 16460 16469 16472 16477 16482 16497 16508 16509 16511 16517 16518 16529 16534 16552 16557 16561 16563 16565 16579 16583 16587 16592 16594 16603 16610 16615 16617 16621 16622 16624 16626 16630 16632 16643 16648 16650 16652 16656 16659 16660 16678 16691 16707 16708 16728 16736 16737 16741 16747 16755 16757 16759 16771 16772 16779 16784 16789 16792 16794 16802 16807 16810 16816 16819 16820 16826 16831 16835 16837 16844 16850 16851 16853 16854 16856 16863 16879 16881 16883 16893 16896 16899 16904 16907 16914 16931 16932 16940 16945 16946 16947 16955 16956 16981 16998 16999 17000 17007 17011 17016 17023 17028 17030 17032 17033 17050 17055 17066 17080 17083 17089 17095 17104 17126 17131 17143 17145 17150 17165 17167 17176 17187 17189 17195 17197 17198 17205 17219 17228 17231 17236 17251 17253 17258 17264 17271 17283 17284 17294 17296 17307 17309 17313 17314 17316 17322 17324 17326 17328 17329 17338 17349 17354 17357 17368 17375 17378 17388 17394 17396 17397 17406 17412 17414 17429 17437 17452 17459 17467 17469 17475 17479 17483 17491 17495 17496 17499 17502 17513 17514 17516 17517 17525 17530 17534 17542 17557 17566 17572 17576 17580 17585 17588 17591 17592 17595 17596 17597 17598 17601 17614 17618 17620 17628 17632 17635 17639 17640 17643 17647 17656 17658 17659 17661 17662 17667 17668 17677 17692 17694 17697 17702 17706 17708 17717 17719 17721 17722 17725 17734 17747 17755 17758 17760 17766 17767 17772 17773 17778 17783 17784 17786 17790 17791 17805 17809 17815 17816 17819 17822 17824 17825 17827 17834 17848 17853 17857 17858 17865 17867 17872 17876 17878 17883 17888 17890 17891 17892 17893 17896 17898 17899 17902 17905 17906 17912 17920 17932 17933 17934 17937 17953 17955 17961 17965 17970 17977 17978 17984 17987 17991 17993 17997 18000 18001 18009 18014 18015 18016 18029 18031 18032 18042 18043 18053 18057 18059 18061 18067 18068 18070 18078 18079 18088 18105 18114 18122 18129 18130 18135 18150 18153 18155 18159 18182 18190 18197 18198 18211 18220 18222 18227 18228 18241 18244 18245 18248 18249 18252 18253 18265 18268 18276 18278 18279 18280 18281 18286 18291 18294 18303 18305 18312 18318 18321 18324 18327 18333 18337 18340 18346 18349 18354 18359 18362 18363 18373 18379 18386 18389 18391 18392 18393 18397 18403 18407 18411 18413 18419 18435 18437 18441 18444 18446 18450 18452 18460 18467 18482 18491 18492 18493 18494 18499 18507 18510 18512 18517 18519 18534 18539 18545 18561 18564 18571 18574 18576 18579 18583 18589 18590 18592 18594 18599 18601 18604 18611 18630 18631 18634 18640 18650 18655 18660 18664 18665 18670 18672 18674 18676 18677 18679 18682 18683 18684 18685 18686 18690 18692 18697 18698 18703 18709 18712 18718 18721 18723 18736 18740 18741 18742 18744 18748 18751 18752 18754 18756 18757 18758 18760 18763 18778 18783 18786 18791 18797 18801 18804 18806 18807 18808 18812 18813 18814 18832 18841 18855 18856 18861 18868 18870 18879 18888 18893 18897 18898 18906 18919 18921 18926 18932 18934 18935 18936 18943 18950 18958 18962 18967 18968 18976 18978 18981 18985 18986 18996 18999 19000 19001 19002 19006 19008 19016 19018 19023 19026 19030 19034 19035 19037 19038 19041 19042 19043 19057 19066 19068 19070 19074 19084 19086 19088 19095 19098 19100 19103 19104 19106 19107 19111 19115 19116 19118 19122 19124 19127 19128 19135 19136 19150 19152 19163 19167 19170 19173 19174 19176 19180 19181 19185 19187 19188 19190 19191 19192 19195 19196 19201 19210 19221 19223 19237 19245 19246 19251 19252 19259 19264 19266 19267 19273 19274 19276 19278 19280 19283 19284 19285 19286 19288 19291 19293 19294 19296 19304 19312 19314 19324 19328 19329 19339 19340 19353 19360 19361 19364 19366 19367 19368 19369 19374 19376 19382 19385 19395 19396 19399 19413 19418 19420 19421 19428 19433 19440 19441 19443 19449 19455 19468 19473 19476 19481 19484 19487 19489 19490 19496 19497 19506 19507 19509 19511 19519 19521 19526 19533 19541 19554 19556 19579 19591 19594 19599 19601 19610 19612 19618 19620 19621 19624 19636 19640 19644 19648 19654 19657 19662 19666 19675 19676 19679 19690 19695 19696 19700 19702 19703 19714 19722 19723 19725 19733 19735 19747 19748 19757 19774 19783 19787 19792 19795 19796 19799 19812 19830 19831 19833 19834 19840 19844 19847 19850 19853 19855 19862 19868 19877 19882 19884 19888 19896 19900 19902 19912 19918 19924 19945 19949 19950 19958 19962 19964 19967 19970 19974 19977 19988 19990 19994 20011 20013 20014 20016 20023 20024 20025 20034 20035 20037 20039 20048 20050 20051 20054 20058 20061 20062 20077 20085 20088 20089 20091 20095 20096 20104 20109 20110 20111 20112 20119 20122 20123 20124 20130 20135 20139 20142 20149 20152 20154 20155 20157 20160 20162 20163 20166 20169 20173 20180 20183 20184 20185 20187 20194 20195 20198 20204 20208 20213 20214 20216 20217 20220 20223 20229 20232 20240 20242 20251 20265 20267 20268 20270 20271 20273 20293 20294 20297 20298 20306 20307 20308 20320 20324 20327 20332 20337 20340 20342 20354 20355 20356 20358 20360 20365 20367 20371 20375 20377 20378 20386 20388 20396 20397 20408 20409 20411 20418 20429 20430 20432 20435 20442 20443 20450 20456 20475 20481 20485 20486 20487 20492 20493 20496 20497 20499 20503 20504 20511 20517 20521 20522 20525 20530 20531 20532 20535 20536 20537 20540 20544 20546 20547 20548 20549 20550 20552 20558 20563 20564 20574 20575 20584 20585 20587 20588 20590 20593 20594 20603 20613 20614 20615 20616 20618 20621 20622 20623 20630 20632 20634 20635 20636 20639 20640 20641 20645 20647 20650 20654 20659 20661 20662 20663 20665 20666 20667 20671 20679 20681 20682 20683 20690 20691 20692 20695 20697 20699 20703 20710 20714 20715 20717 20719 20721 20723 20726 20727 20732 20742 20743 20744 20747 20748 20749 20753 20760 20762 20764 20765 20769 20770 20772 20777 20780 20783 20786 20787 20789 20790 20794 20799 20807 20817 20819 20820 20821 20826 20830 20831 20833 20835 20838 20841 20844 20846 20848 20850 20853 20858 20859 20860 20861 20863 20869 20872 20876 20878 20881 20883 20886 20893 20894 20897 20898 20901 20905 20906 20907 20909 20912 20920 20921 20924 20926 20929 20932 20934 20938 20941 20955 20957 20961 20962 20963 20964 20965 20967 20970 20971 20979 20986 20989 20990 20993 20994 20998 20999 21000 21003 21005 21006 21014 21015 21016 21017 21019 21025 21031 21033 21039 21042 21044 21049 21050 21052 21053 21055 21059 21064 21066 21067 21068 21069 21072 21073 21075 21080 21089 21090 21092 21094 21095 21100 21101 21103 21109 21110 21111 21112 21114 21115 21116 21117 21119 21120 21125 21127 21128 21141 21142 21143 21146 21147 21149 21152 21157 21159 21161 21164 21166 21167 21172 21182 21185 21186 21187 21194 21195 21196 21199 21202 21204 21205 21206 21208 21209 21214 21216 21218 21220 21223 21224 21226 21228 21229 21230 21234 21235 21236 21238 21239 21242 21244 21249 21251 21253 21257 21258 21259 21260 21261 21264 21265 21267 21268 21269 21272 21276 21277 21286 21291 21295 21297 21303 21304 21306 21310 21311 21318 21319 21320 21323 21324 21331 21333 21334 21335 21344 21352 21356 21357 21368 21369 21378 21381 21382 21383 21393 21396 21409 21411 21414 21416 21417 21422 21425 21428 21429 21433 21434 21437 21438 21441 21445 21450 21453 21455 21466 21468 21471 21473 21479 21480 21481 21483 21484 21489 21492 21506 21509 21524 21527 21528 21535 21537 21544 21545 21551 21553 21555 21556 21560 21561 21562 21565 21567 21569 21570 21573 21575 21581 21586 21593 21594 21600 21604 21605 21607 21608 21614 21615 21616 21623 21625 21626 21627 21629 21630 21634 21635 21636 21637 21644 21650 21654 21655 21663 21667 21673 21674 21675 21677 21678 21680 21681 21684 21687 21688 21691 21693 21696 21697 21701 21703 21706 21709 21716 21721 21729 21730 21732 21735 21736 21740 21742 21743 21749 21753 21755 21757 21761 21762 21768 21771 21773 21778 21780 21781 21783 21784 21787 21788 21789 21791 21801 21803 21806 21807 21810 21813 21819 21823 21829 21836 21837 21840 21841 21842 21844 21846 21847 21851 21854 21856 21857 21858 21863 21868 21870 21878 21884 21894 21898 21899 21908 21916 21918 21920 21921 21922 21931 21937 21938 21940 21942 21947 21959 21962 21965 21972 21975 21979 21990 21996 21998 21999 22002 22022 22024 22028 22032 22037 22038 22047 22049 22052 22056 22058 22070 22077 22078 22081 22082 22085 22087 22093 22096 22097 22099 22100 22105 22107 22119 22121 22122 22124 22127 22128 22137 22138 22140 22146 22147 22150 22152 22158 22161 22163 22182 22183 22184 22185 22190 22195 22209 22213 22221 22229 22230 22232 22234 22236 22237 22241 22242 22245 22258 22260 22261 22265 22268 22272 22274 22277 22280 22281 22284 22285 22292 22294 22300 22310 22313 22315 22319 22324 22326 22330 22337 22338 22341 22343 22348 22352 22353 22355 22357 22361 22364 22365 22366 22368 22370 22379 22380 22384 22387 22388 22389 22391 22392 22397 22400 22401 22402 22405 22411 22412 22417 22419 22426 22431 22437 22442 22443 22445 22449 22450 22451 22452 22453 22456 22458 22460 22461 22468 22470 22473 22476 22481 22485 22487 22488 22495 22496 22499 22507 22510 22515 22530 22531 22537 22539 22541 22542 22543 22545 22548 22555 22556 22558 22567 22570 22573 22574 22575 22576 22577 22578 22580 22581 22583 22586 22587 22592 22594 22596 22597 22598 22601 22605 22610 22611 22617 22618 22623 22625 22628 22630 22632 22635 22637 22639 22644 22652 22654 22656 22658 22659 22664 22674 22676 22678 22680 22684 22686 22687 22690 22691 22696 22699 22700 22710 22711 22713 22714 22717 22719 22723 22724 22726 22727 22730 22731 22732 22734 22735 22738 22741 22743 22745 22747 22758 22766 22769 22770 22772 22774 22778 22784 22786 22790 22791 22794 22795 22796 22799 22800 22802 22804 22806 22807 22812 22813 22817 22818 22820 22823 22824 22827 22832 22833 22834 22836 22837 22842 22843 22847 22852 22855 22856 22857 22859 22860 22862 22863 22864 22865 22867 22869 22870 22871 22873 22876 22878 22879 22882 22883 22884 22885 22887 22888 22889 22892 22893 22898 22901 22903 22906 22907 22911 22912 22914 22917 22918 22920 22923 22925 22926 22928 22933 22935 22936 22940 22950 22951 22952 22953 22956 22959 22960 22965 22966 22970 22971 22975 22976 22979 22980 22982 22983 22986 22988 22989 22992 22993 22995 22998 23008 23010 23017 23018 23021 23022 23024 23026 23027 23029 23030 23034 23035 23038 23042 23043 23047 23048 23050 23052 23053 23054 23057 23063 23073 23074 23076 23078 23085 23086 23087 23090 23091 23095 23101 23106 23108 23109 23112 23120 23124 23130 23133 23136 23139 23149 23153 23155 23160 23162 23164 23165 23166 23169 23172 23175 23178 23184 23187 23193 23202 23203 23214 23218 23219 23225 23230 23232 23233 23235 23240 23244 23249 23251 23252 23253 23255 23257 23265 23266 23267 23268 23271 23277 23279 23281 23287 23288 23296 23297 23298 23301 23302 23303 23306 23309 23313 23315 23316 23317 23321 23325 23327 23328 23332 23333 23335 23337 23338 23339 23342 23345 23350 23353 23359 23361 23362 23367 23370 23371 23373 23374 23375 23376 23381 23382 23383 23387 23389 23398 23401 23405 23408 23410 23411 23412 23415 23418 23419 23424 23425 23427 23428 23434 23435 23436 23437 23443 23444 23449 23456 23460 23461 23463 23466 23467 23468 23470 23471 23474 23475 23477 23478 23480 23482 23484 23485 23486 23488 23489 23490 23492 23493 23494 23496 23499 23505 23506 23507 23512 23517 23518 23521 23523 23524 23527 23529 23534 23536 23539 23541 23542 23544 23547 23549 23550 23553 23557 23558 23561 23566 23573 23575 23578 23579 23581 23582 23586 23587 23589 23596 23600 23602 23603 23604 23605 23606 23611 23613 23615 23616 23619 23620 23622 23626 23628 23630 23631 23634 23641 23648 23649 23655 23657 23658 23660 23664 23665 23670 23672 23680 23687 23688 23689 23691 23692 23694 23695 23698 23703 23704 23705 23707 23709 23719 23720 23722 23725 23727 23731 23732 23735 23738 23739 23740 23747 23750 23752 23753 23763 23766 23768 23770 23771 23773 23778 23781 23787 23788 23791 23792 23795 23801 23803 23805 23807 23813 23819 23821 23824 23826 23827 23831 23851 23857 23861 23862 23863 23870 23873 23875 23876 23877 23879 23886 23887 23888 23892 23903 23906 23907 23915 23916 23921 23925 23926 23938 23940 23942 23945 23950 23960 23961 23968 23969 23970 23972 23974 23975 23976 23977 23983 23984 23985 23989 23990 23991 23992 23994 23996 23999 24000 24001 24004 24012 24013 24016 24018 24022 24023 24029 24040 24046 24047 24050 24051 24053 24055 24056 24060 24063 24066 24068 24070 24072 24073 24079 24080 24082 24084 24086 24090 24091 24094 24096 24099 24100 24102 24103 24104 24106 24108 24109 24110 24118 24119 24122 24130 24132 24133 24134 24136 24137 24139 24142 24143 24147 24155 24160 24161 24165 24166 24167 24168 24169 24171 24175 24176 24179 24188 24190 24191 24193 24194 24195 24196 24198 24201 24202 24205 24207 24208 24209 24210 24215 24217 24218 24219 24223 24224 24225 24229 24230 24233 24241 24243 24244 24245 24246 24251 24252 24255 24256 24257 24267 24276 24282 24283 24284 24292 24298 24301 24302 24310 24311 24313 24317 24318 24319 24320 24323 24333 24335 24337 24344 24346 24347 24348 24351 24355 24358 24359 24361 24365 24370 24372 24374 24379 24391 24395 24397 24399 24409 24411 24414 24415 24416 24417 24425 24428 24432 24433 24435 24437 24440 24444 24445 24447 24448 24457 24461 24462 24465 24470 24471 24472 24473 24474 24480 24482 24484 24486 24491 24494 24495 24499 24502 24503 24512 24514 24519 24521 24522 24526 24528 24530 24532 24535 24537 24539 24542 24543 24549 24551 24554 24555 24557 24559 24576 24587 24590 24596 24607 24622 24635 24636 24647 24649 24657 24658 24675 24687 24688 24689 24707 24710 24718 24722 24729 24731 24739 24746 24752 24770 24771 24779 24780 24785 24788 24792 24817 24822 24823 24828 24829 24831 24842 24845 24848 24849 24862 24882 24894 24905 24909 24919 24926 24927 24928 24934 24942 24947 24953 24957 24963 24965 24967 24972 24973 24977 24989 24993 24997 25011 25022 25026 25030 25055 25059 25073 25077 25082 25090 25099 25103 25113 25118 25119 25123 25128 25142 25147 25148 25154 25164 25170 25174 25182 25187 25188 25190 25198 25200 25205 25210 25213 25223 25224 25225 25231 25238 25239 25240 25248 25250 25252 25259 25265 25269 25273 25274 25277 25278 25279 25293 25297 25305 25311 25312 25315 25317 25333 25344 25347 25353 25362 25371 25393 25400 25401 25408 25415 25416 25421 25422 25426 25439 25443 25444 25447 25449 25454 25466 25467 25469 25471 25472 25477 25483 25484 25496 25508 25509 25517 25519 25529 25538 25550 25552 25553 25557 25560 25567 25575 25579 25593 25595 25599 25601 25605 25606 25616 25619 25622 25628 25632 25637 25644 25646 25650 25654 25656 25667 25672 25674 25675 25676 25685 25686 25689 25690 25691 25695 25702 25703 25712 25716 25718 25731 25741 25747 25751 25758 25760 25764 25766 25767 25770 25776 25777 25781 25782 25783 25785 25787 25788 25793 25795 25796 25797 25798 25800 25804 25805 25806 25808 25809 25812 25820 25821 25828 25832 25837 25843 25845 25846 25847 25852 25863 25877 25887 25890 25893 25900 25901 25902 25904 25905 25906 25912 25918 25919 25927 25928 25930 25936 25940 25942 25943 25946 25950 25952 25953 25955 25959 25963 25967 25975 25977 25979 25981 25993 25999 26002 26005 26021 26028 26031 26041 26042 26046 26054 26055 26061 26066 26067 26089 26098 26101 26110 26116 26144 26155 26162 26163 26165 26166 26167 26168 26172 26178 26182 26197 26200 26207 26210 26212 26214 26218 26221 26223 26225 26228 26235 26244 26252 26253 26256 26259 26261 26263 26264 26268 26269 26271 26273 26283 26284 26297 26299 26300 26307 26311 26313 26321 26334 26337 26340 26342 26345 26346 26353 26355 26359 26373 26376 26388 26390 26392 26396 26399 26402 26404 26411 26418 26430 26438 26444 26446 26448 26449 26451 26455 26456 26457 26459 26461 26464 26469 26478 26483 26486 26488 26498 26504 26506 26507 26508 26510 26513 26521 26528 26534 26535 26539 26542 26559 26561 26571 26573 26574 26578 26580 26582 26585 26588 26596 26600 26604 26612 26613 26619 26621 26638 26643 26648 26649 26650 26653 26655 26663 26666 26676 26681 26686 26691 26693 26694 26697 26704 26705 26713 26724 26725 26732 26736 26738 26741 26744 26746 26749 26752 26754 26758 26766 26770 26771 26773 26775 26776 26785 26786 26788 26793 26797 26798 26801 26805 26811 26828 26833 26835 26836 26838 26844 26845 26860 26864 26881 26883 26885 26889 26890 26892 26899 26904 26905 26912 26917 26923 26936 26937 26942 26943 26947 26952 26961 26968 26975 26977 26987 27002 27003 27004 27005 27007 27009 27011 27015 27016 27022 27029 27031 27033 27036 27041 27043 27055 27056 27067 27068 27070 27072 27078 27083 27091 27097 27110 27111 27112 27116 27118 27131 27132 27134 27138 27145 27151 27156 27159 27162 27164 27170 27184 27188 27189 27198 27201 27206 27207 27208 27213 27216 27218 27239 27243 27245 27251 27260 27261 27262 27266 27268 27274 27277 27281 27284 27300 27301 27306 27308 27309 27311 27313 27314 27320 27324 27327 27329 27332 27333 27335 27336 27340 27343 27350 27360 27361 27362 27370 27374 27377 27383 27390 27393 27401 27404 27407 27410 27416 27423 27428 27432 27433 27438 27441 27461 27462 27467 27470 27473 27474 27476 27479 27481 27486 27489 27500 27505 27513 27517 27520 27521 27530 27537 27544 27548 27554 27557 27567 27573 27576 27577 27580 27582 27588 27590 27596 27599 27600 27610 27611 27615 27620 27627 27634 27636 27644 27645 27646 27656 27658 27662 27665 27668 27676 27680 27682 27683 27684 27704 27714 27715 27719 27722 27738 27740 27742 27747 27762 27772 27774 27775 27779 27782 27783 27784 27787 27794 27801 27803 27805 27807 27817 27823 27831 27833 27836 27847 27850 27852 27858 27871 27872 27874 27881 27886 27890 27901 27912 27918 27920 27923 27925 27928 27931 27932 27934 27936 27947 27956 27963 27964 27965 27968 27970 27973 27976 27983 28001 28002 28005 28007 28011 28020 28021 28041 28044 28048 28049 28052 28060 28069 28072 28073 28080 28083 28085 28086 28087 28089 28092 28103 28104 28111 28112 28114 28123 28124 28127 28130 28133 28134 28135 28141 28146 28151 28167 28176 28178 28180 28183 28188 28195 28203 28209 28210 28212 28216 28217 28218 28222 28232 28233 28237 28238 28244 28245 28247 28255 28274 28286 28292 28301 28302 28304 28305 28308 28310 28316 28317 28322 28324 28329 28336 28338 28341 28354 28360 28370 28373 28376 28382 28386 28400 28410 28422 28431 28433 28434 28435 28441 28442 28444 28450 28455 28457 28458 28462 28474 28478 28490 28495 28497 28501 28503 28504 28506 28507 28508 28509 28513 28515 28517 28521 28525 28529 28530 28535 28537 28542 28554 28563 28566 28567 28568 28569 28570 28575 28583 28593 28596 28598 28609 28611 28614 28620 28623 28629 28633 28637 28646 28648 28649 28655 28669 28679 28685 28686 28690 28695 28700 28728 28736 28752 28754 28766 28770 28771 28781 28786 28795 28825 28840 28881 28903 28931 28942 28943 28951 28953 28973 28976 28977 28982 28983 28997 29008 29011 29019 29021 29037 29039 29044 29046 29053 29061 29062 29082 29086 29088 29105 29119 29129 29132 29146 29149 29151 29165 29177 29190 29202 29226 29237 29242 29249 29252 29262 29281 29282 29297 29306 29319 29321 29324 29329 29341 29347 29351 29355 29357 29363 29370 29383 29394 29398 29402 29405 29406 29412 29418 29427 29429 29431 29436 29437 29438 29445 29447 29450 29470 29472 29473 29483 29484 29487 29489 29495 29496 29500 29502 29503 29538 29546 29549 29550 29558 29560 29562 29564 29566 29575 29580 29587 29590 29593 29594 29600 29603 29604 29607 29609 29611 29612 29617 29618 29621 29624 29629 29630 29636 29638 29650 29653 29659 29665 29666 29669 29672 29678 29682 29684 29695 29700 29703 29704 29708 29713 29717 29718 29720 29721 29723 29728 29730 29731 29732 29736 29738 29742 29745 29747 29748 29750 29752 29753 29755 29759 29760 29763 29764 29768 29769 29771 29777 29783 29785 29787 29788 29789 29791 29792 29797 29798 29800 29809 29814 29815 29816 29817 29825 29832 29847 29848 29850 29851 29852 29856 29859 29860 29871 29872 29873 29875 29876 29878 29881 29883 29894 29895 29896 29897 29900 29905 29906 29908 29909 29911 29913 29917 29920 29922 29924 29925 29927 29932 29938 29942 29947 29950 29952 29955 29957 29960 29962 29963 29965 29981 29982 29983 29985 29989 29990 29993 29995 30001 30009 30010 30011 30013 30014 30015 30016 30019 30026 30027 30029 30031 30034 30035 30036 30040 30042 30048 30049 30056 30062 30063 30065 30067 30074 30080 30081 30086 30087 30089 30090 30094 30095 30099 30102 30103 30108 30109 30111 30112 30113 30115 30116 30117 30121 30124 30127 30131 30133 30135 30136 30141 30147 30148 30151 30152 30156 30158 30160 30162 30167 30172 30174 30176 30180 30183 30184 30187 30188 30192 30195 30196 30197 30199 30201 30254 30270 30275 30286 30288 30293 30297 30335 30339 30340 30341 30342 30344 30350 30355 30356 30362 30363 30364 30368 30372 30375 30378 30381 30382 30384 30386 30392 30393 30395 30398 30399 30406 30411 30412 30430 30432 30435 30439 30440 30441 30451 30456 30466 30468 30470 30471 30473 30482 30484 30486 30487 30488 30489 30493 30504 30506 30515 30519 30528 30530 30539 30540 30541 30542 30544 30549 30550 30551 30552 30554 30556 30559 30568 30571 30573 30577 30578 30579 30587 30589 30591 30597 30607 30609 30611 30637 30639 30643 30649 30651 30660 30674 30676 30684 30699 30703 30705 30710 30733 30737 30742 30744 30746 30750 30752 30753 30756 30757 30761 30766 30768 30777 30780 30781 30786 30795 30796 30797 30799 30801 30805 30808 30810 30820 30822 30823 30824 30825 30826 30829 30830 30831 30834 30838 30841 30842 30845 30846 30851 30864 30867 30873 30875 30884 30887 30888 30897 30898 30903 30913 30916 30921 30922 30928 30931 30934 30937 30940 30948 30949 30956 30960 30966 30968 30969 30972 30973 30976 30978 30980 30983 30988 30991 30995 31006 31007 31015 31022 31023 31027 31031 31034 31035 31039 31041 31048 31049 31051 31052 31060 31065 31066 31068 31069 31080 31081 31085 31089 31094 31096 31101 31102 31104 31106 31109 31111 31113 31116 31119 31122 31123 31125 31134 31136 31139 31142 31145 31148 31149 31151 31152 31153 31155 31159 31161 31163 31164 31165 31168 31169 31173 31174 31177 31179 31180 31183 31184 31185 31187 31190 31191 31192 31195 31196 31201 31202 31206 31209 31211 31212 31214 31215 31219 31221 31222 31223 31224 31234 31235 31238 31239 31245 31256 31257 31263 31269 31270 31271 31275 31278 31280 31281 31284 31285 31287 31289 31294 31295 31300 31304 31305 31310 31313 31317 31318 31320 31321 31323 31329 31331 31337 31340 31343 31344 31350 31356 31358 31364 31367 31371 31372 31375 31379 31380 31381 31384 31386 31389 31391 31393 31395 31401 31403 31406 31409 31413 31417 31418 31420 31421 31422 31424 31429 31432 31440 31441 31442 31446 31450 31455 31459 31460 31467 31475 31481 31489 31490 31491 31493 31501 31503 31505 31506 31511 31517 31521 31522 31523 31524 31525 31526 31530 31532 31536 31537 31540 31543 31545 31546 31547 31549 31553 31558 31559 31560 31561 31564 31566 31567 31571 31579 31580 31582 31587 31588 31589 31595 31596 31597 31599 31602 31603 31607 31609 31620 31623 31624 31626 31627 31628 31629 31634 31635 31637 31639 31641 31643 31649 31650 31652 31653 31654 31658 31661 31663 31665 31666 31667 31669 31672 31679 31680 31681 31682 31687 31689 31691 31694 31696 31699 31702 31704 31705 31707 31714 31717 31718 31719 31720 31722 31725 31726 31727 31729 31736 31737 31740 31741 31742 31744 31747 31749 31751 31753 31754 31756 31759 31770 31771 31772 31778 31779 31786 31787 31789 31791 31793 31794 31798 31799 31801 31803 31805 31807 31808 31811 31813 31819 31821 31822 31833 31836 31839 31843 31844 31848 31850 31851 31852 31859 31860 31861 31863 31866 31868 31869 31875 31878 31879 31880 31881 31884 31888 31891 31894 31895 31896 31897 31901 31903 31905 31908 31909 31911 31912 31913 31916 31918 31927 31928 31929 31931 31932 31934 31936 31942 31944 31947 31950 31958 31960 31961 31964 31965 31966 31968 31969 31973 31980 31982 31983 31985 31990 31992 31995 31997 32009 32012 32016 32017 32019 32027 32029 32037 32039 32050 32054 32056 32059 32060 32061 32067 32076 32080 32083 32090 32094 32095 32096 32097 32098 32104 32106 32107 32112 32113 32114 32116 32123 32124 32127 32129 32130 32134 32137 32138 32139 32140 32147 32150 32151 32152 32154 32157 32158 32163 32165 32166 32168 32170 32183 32190 32197 32200 32202 32204 32205 32207 32209 32211 32213 32215 32216 32219 32221 32222 32223 32224 32225 32229 32232 32236 32237 32238 32241 32243 32244 32245 32246 32248 32250 32251 32252 32255 32256 32257 32258 32261 32262 32263 32265 32266 32267 32269 32270 32272 32276 32279 32280 32283 32285 32286 32287 32290 32294 32295 32296 32297 32299 32301 32303 32307 32308 32310 32313 32316 32317 32318 32321 32323 32328 32329 32335 32340 32341 32345 32347 32348 32353 32357 32363 32364 32366 32367 32372 32373 32376 32377 32379 32380 32381 32383 32385 32388 32394 32396 32402 32403 32409 32412 32415 32416 32422 32425 32426 32427 32428 32433 32434 32435 32436 32437 32439 32440 32442 32446 32448 32451 32452 32453 32456 32457 32458 32460 32462 32468 32469 32472 32473 32476 32477 32480 32481 32485 32492 32495 32496 32499 32500 32507 32513 32517 32519 32522 32523 32525 32526 32527 32528 32530 32532 32533 32536 32538 32539 32544 32546 32550 32552 32554 32555 32556 32557 32563 32565 32566 32570 32571 32572 32573 32575 32577 32578 32579 32580 32581 32583 32585 32586 32588 32591 32592 32593 32595 32596 32601 32602 32603 32604 32605 32606 32608 32609 32611 32614 32615 32616 32619 32621 32623 32624 32627 32628 32629 32632 32633 32641 32642 32645 32646 32647 32652 32655 32658 32663 32666 32669 32671 32673 32674 32675 32677 32681 32682 32685 32686 32687 32691 32694 32695 32696 32700 32701 32703 32704 32707 32709 32711 32712 32714 32717 32718 32719 32722 32723 32724 32725 32729 32730 32731 32732 32739 32742 32743 32745 32747 32748 32750 32756 32759 32760 32765 32770 32771 32774 32777 32778 32780 32784 32785 32787 32789 32800 32801 32804 32807 32814 32815 32819 32820 32822 32824 32825 32839 32841 32844 32846 32848 32850 32851 32852 32858 32859 32874 32879 32889 32893 32894 32897 32898 32900 32911 32917 32919 32924 32927 32928 32931 32932 32937 32940 32941 32943 32947 32952 32960 32961 32965 32972 32977 32984 32985 32991 32994 32996 32997 32999 33003 33004 33018 33019 33023 33025 33027 33028 33029 33031 33043 33050 33060 33065 33079 33080 33129 33146 33158 33162 33164 33169 33200 33207 33211 33230 33251 33253 33258 33262 33263 33273 33279 33283 33285 33291 33293 33294 33297 33298 33301 33310 33312 33313 33315 33323 33324 33326 33329 33336 33338 33341 33342 33344 33346 33351 33352 33356 33368 33369 33375 33377 33381 33383 33390 33392 33403 33406 33407 33410 33419 33422 33432 33434 33437 33444 33446 33450 33454 33455 33458 33469 33471 33474 33476 33482 33483 33490 33491 33501 33503 33504 33510 33521 33525 33533 33535 33538 33540 33551 33560 33565 33568 33570 33573 33576 33583 33587 33589 33593 33595 33596 33605 33606 33618 33624 33625 33627 33640 33642 33648 33650 33655 33659 33661 33664 33672 33674 33679 33681 33687 33688 33689 33694 33698 33702 33712 33714 33718 33719 33722 33725 33726 33729 33734 33736 33737 33738 33748 33753 33755 33758 33759 33763 33768 33769 33776 33777 33779 33790 33791 33802 33813 33816 33820 33821 33830 33840 33841 33842 33844 33845 33849 33854 33856 33858 33860 33864 33865 33870 33871 33873 33874 33879 33885 33887 33891 33898 33901 33905 33908 33912 33913 33918 33919 33925 33940 33950 33955 33956 33959 33975 33977 33980 33981 33983 33986 33990 33991 33993 33997 33999 34000 34001 34005 34007 34010 34012 34013 34016 34019 34020 34024 34032 34034 34037 34038 34039 34040 34041 34043 34045 34054 34057 34058 34059 34065 34067 34068 34069 34072 34074 34078 34081 34083 34086 34087 34088 34090 34092 34093 34094 34099 34100 34102 34103 34104 34105 34108 34111 34112 34113 34114 34120 34121 34123 34124 34125 34130 34131 34134 34136 34140 34143 34144 34145 34155 34158 34164 34168 34171 34172 34175 34176 34183 34186 34188 34189 34196 34197 34198 34201 34203 34208 34212 34215 34216 34219 34222 34227 34229 34230 34232 34233 34241 34242 34243 34245 34250 34252 34253 34255 34257 34258 34261 34262 34265 34270 34271 34272 34274 34278 34279 34281 34283 34284 34287 34293 34294 34296 34297 34301 34302 34303 34304 34305 34306 34311 34312 34318 34322 34323 34324 34329 34330 34340 34347 34349 34356 34361 34362 34364 34368 34369 34380 34382 34384 34385 34387 34388 34391 34393 34394 34395 34396 34399 34404 34409 34414 34421 34424 34426 34428 34435 34441 34453 34454 34462 34464 34466 34473 34474 34482 34485 34487 34488 34490 34491 34498 34500 34502 34503 34505 34510 34517 34521 34525 34528 34531 34533 34537 34539 34541 34545 34553 34556 34558 34561 34562 34566 34570 34571 34573 34575 34579 34581 34585 34589 34594 34596 34599 34600 34601 34605 34607 34608 34610 34611 34615 34619 34621 34624 34625 34630 34633 34636 34638 34643 34648 34649 34650 34653 34658 34659 34661 34662 34664 34668 34670 34675 34678 34679 34686 34690 34694 34696 34700 34708 34710 34714 34715 34717 34722 34725 34726 34727 34732 34737 34742 34743 34746 34747 34755 34756 34758 34764 34768 34769 34781 34788 34793 34798 34800 34801 34802 34807 34809 34814 34822 34828 34838 34840 34841 34842 34844 34846 34853 34854 34856 34859 34869 34872 34876 34880 34885 34886 34887 34889 34890 34893 34900 34903 34906 34909 34910 34913 34915 34916 34923 34925 34926 34931 34933 34934 34936 34944 34945 34955 34957 34960 34962 34970 34972 34973 34975 34976 34977 34981 34985 34987 34990 34994 34998 35001 35002 35003 35005 35006 35018 35027 35030 35031 35033 35036 35038 35040 35050 35052 35060 35061 35062 35069 35071 35078 35081 35085 35090 35092 35098 35108 35111 35112 35123 35126 35136 35138 35142 35146 35148 35149 35155 35158 35160 35163 35166 35178 35180 35183 35186 35191 35193 35195 35197 35199 35200 35202 35203 35211 35214 35219 35226 35228 35229 35230 35237 35240 35241 35243 35244 35246 35248 35249 35252 35254 35256 35264 35267 35268 35269 35270 35278 35280 35283 35287 35289 35293 35295 35296 35297 35301 35302 35325 35328 35331 35332 35336 35339 35343 35345 35346 35350 35351 35352 35359 35360 35364 35369 35373 35381 35382 35383 35385 35387 35393 35398 35400 35404 35406 35407 35414 35415 35424 35426 35427 35433 35434 35438 35447 35460 35465 35468 35469 35472 35474 35477 35480 35486 35489 35491 35492 35500 35503 35504 35509 35510 35516 35517 35520 35522 35528 35535 35540 35544 35546 35548 35552 35554 35561 35566 35567 35577 35583 35584 35592 35593 35595 35597 35598 35600 35602 35603 35605 35610 35616 35618 35623 35624 35626 35627 35628 35633 35634 35646 35651 35652 35653 35655 35657 35670 35671 35672 35673 35683 35685 35688 35698 35711 35712 35714 35715 35716 35721 35722 35724 35729 35735 35739 35742 35743 35744 35748 35749 35754 35757 35761 35771 35772 35775 35778 35780 35786 35788 35789 35796 35801 35805 35821 35831 35846 35849 35854 35856 35859 35861 35863 35865 35869 35874 35876 35889 35905 35906 35912 35916 35930 35931 35933 35934 35940 35951 35956 35961 35964 35970 35971 35982 35985 35988 35992 35995 36001 36002 36008 36010 36011 36014 36022 36032 36034 36047 36049 36051 36059 36061 36069 36084 36089 36096 36098 36100 36104 36111 36112 36113 36114 36124 36125 36133 36134 36139 36140 36146 36158 36160 36168 36175 36177 36184 36187 36192 36197 36203 36205 36212 36213 36216 36217 36219 36220 36222 36229 36231 36239 36244 36245 36246 36249 36250 36251 36261 36270 36281 36284 36289 36290 36294 36298 36300 36304 36308 36309 36316 36317 36322 36330 36342 36345 36348 36354 36355 36357 36358 36367 36372 36380 36387 36391 36392 36395 36398 36417 36422 36425 36433 36439 36444 36447 36474 36479 36482 36489 36495 36496 36505 36509 36519 36521 36534 36538 36543 36565 36575 36577 36578 36585 36599 36606 36608 36614 36629 36645 36647 36654 36659 36665 36666 36671 36677 36683 36691 36692 36696 36700 36705 36714 36719 36721 36725 36727 36730 36733 36736 36738 36741 36747 36756 36765 36766 36767 36769 36774 36790 36792 36813 36820 36829 36831 36847 36849 36855 36862 36866 36867 36872 36875 36886 36888 36894 36895 36896 36901 36902 36904 36906 36910 36913 36917 36918 36922 36930 36932 36933 36940 36945 36946 36947 36952 36955 36956 36958 36967 36971 36976 36978 36979 36980 36982 36983 36984 36986 36990 36997 37000 37002 37005 37006 37007 37009 37011 37012 37013 37018 37019 37022 37024 37026 37030 37034 37035 37036 37038 37041 37046 37050 37056 37059 37065 37068 37070 37075 37077 37079 37085 37088 37089 37091 37092 37100 37104 37110 37113 37116 37120 37121 37122 37126 37127 37128 37136 37140 37144 37145 37149 37150 37152 37156 37159 37163 37164 37167 37169 37173 37174 37177 37180 37182 37185 37186 37189 37190 37191 37193 37196 37198 37199 37208 37210 37213 37224 37226 37227 37240 37243 37249 37250 37258 37259 37288 37293 37310 37320 37322 37325 37328 37337 37339 37347 37348 37355 37359 37362 37363 37376 37379 37383 37385 37386 37388 37390 37392 37395 37401 37402 37405 37406 37409 37416 37421 37422 37423 37424 37426 37427 37436 37457 37458 37462 37466 37472 37488 37501 37515 37532 37535 37540 37572 37578 37583 37599 37605 37610 37616 37617 37619 37621 37622 37632 37633 37635 37637 37638 37639 37641 37648 37651 37662 37666 37669 37675 37681 37688 37691 37693 37694 37718 37730 37733 37738 37749 37750 37756 37761 37769 37774 37775 37776 37778 37779 37784 37788 37789 37797 37798 37800 37801 37804 37811 37836 37842 37845 37847 37856 37859 37864 37867 37878 37880 37913 37945 37959 37978 37980 37983 37985 37991 37993 37995 37997 37999 38002 38008 38011 38012 38025 38035 38040 38058 38063 38065 38069 38080 38089 38093 38099 38104 38108 38110 38115 38116 38121 38123 38129 38133 38134 38137 38140 38143 38144 38145 38150 38152 38154 38156 38157 38158 38162 38165 38168 38171 38173 38175 38177 38183 38186 38188 38189 38195 38198 38204 38209 38210 38211 38213 38216 38220 38222 38224 38225 38229 38232 38235 38237 38239 38241 38243 38244 38245 38246 38250 38254 38255 38257 38261 38272 38278 38280 38283 38285 38293 38295 38298 38302 38305 38310 38312 38313 38316 38318 38323 38324 38328 38334 38341 38344 38347 38350 38356 38364 38365 38366 38374 38376 38401 38403 38418 38425 38427 38428 38430 38452 38453 38456 38460 38461 38464 38466 38468 38469 38474 38479 38481 38482 38483 38484 38487 38488 38490 38491 38502 38503 38505 38507 38510 38513 38518 38521 38523 38524 38527 38533 38534 38537 38546 38547 38548 38552 38553 38555 38566 38572 38575 38576 38579 38580 38581 38589 38592 38597 38601 38603 38605 38607 38611 38624 38625 38628 38629 38633 38637 38640 38645 38646 38648 38656 38657 38661 38668 38675 38677 38679 38683 38684 38689 38691 38693 38695 38696 38700 38709 38710 38716 38720 38724 38728 38729 38732 38735 38744 38749 38751 38757 38764 38775 38776 38782 38783 38798 38799 38802 38816 38817 38822 38826 38828 38831 38833 38838 38852 38853 38861 38862 38871 38873 38875 38880 38881 38882 38884 38899 38901 38910 38933 38935 38940 38941 38945 38947 38948 38950 38953 38956 38968 38976 38991 38994 38996 39001 39004 39005 39006 39008 39009 39014 39015 39022 39030 39031 39041 39043 39045 39046 39067 39069 39087 39090 39093 39094 39095 39096 39097 39099 39103 39106 39107 39110 39129 39130 39133 39136 39145 39146 39147 39148 39150 39152 39156 39157 39158 39162 39164 39170 39174 39181 39183 39187 39194 39201 39202 39206 39209 39212 39217 39226 39227 39228 39238 39253 39257 39259 39269 39276 39285 39295 39297 39303 39304 39306 39308 39310 39311 39315 39316 39321 39323 39325 39328 39329 39333 39334 39335 39336 39337 39339 39340 39341 39342 39344 39345 39346 39348 39349 39351 39354 39358 39372 39377 39386 39396 39398 39404 39416 39417 39419 39420 39430 39432 39433 39434 39437 39438 39439 39444 39446 39448 39449 39450 39455 39456 39457 39458 39462 39469 39471 39473 39474 39476 39477 39480 39482 39483 39484 39485 39488 39499 39500 39502 39503 39508 39509 39515 39516 39517 39520 39521 39522 39525 39526 39527 39529 39530 39532 39533 39534 39536 39537 39539 39540 39545 39554 39555 39557 39558 39560 39561 39562 39566 39568 39572 39577 39580 39585 39587 39588 39592 39598 39599 39600 39601 39603 39604 39609 39612 39614 39616 39617 39618 39622 39625 39628 39632 39635 39636 39637 39639 39640 39642 39643 39652 39656 39659 39661 39662 39665 39670 39672 39674 39682 39685 39688 39697 39701 39702 39716 39721 39723 39730 39731 39735 39737 39738 39740 39744 39747 39750 39755 39765 39770 39771 39773 39774 39783 39791 39798 39801 39807 39812 39813 39814 39820 39822 39828 39829 39831 39837 39838 39844 39846 39856 39858 39859 39861 39862 39866 39871 39886 39891 39895 39906 39922 39923 39927 39929 39933 39947 39951 39952 39955 39957 39960 39963 39967 39973 39974 39975 39976 39978 39979 39980 39985 39988 40005 40012 40018 40021 40027 40031 40033 40044 40050 40055 40063 40074 40088 40104 40108 40116 40119 40123 40128 40136 40138 40140 40143 40149 40150 40151 40163 40166 40180 40182 40184 40193 40194 40200 40209 40210 40221 40225 40260 40275 40276 40280 40284 40287 40288 40289 40291 40294 40304 40305 40307 40311 40319 40339 40347 40351 40353 40354 40356 40358 40359 40369 40371 40373 40376 40389 40393 40408 40418 40420 40421 40423 40428 40430 40431 40433 40434 40438 40445 40447 40454 40455 40464 40467 40470 40483 40486 40487 40502 40508 40513 40517 40521 40525 40530 40534 40537 40538 40539 40540 40544 40547 40550 40556 40557 40559 40561 40564 40567 40569 40574 40577 40580 40581 40594 40595 40596 40599 40609 40611 40621 40625 40626 40630 40639 40649 40651 40652 40653 40654 40665 40666 40676 40677 40683 40685 40686 40687 40688 40689 40691 40692 40694 40698 40702 40703 40704 40710 40712 40714 40716 40717 40720 40723 40724 40727 40731 40733 40734 40739 40741 40742 40746 40748 40751 40752 40755 40762 40763 40768 40775 40777 40779 40799 40802 40804 40807 40810 40814 40815 40816 40819 40822 40835 40836 40837 40838 40842 40845 40848 40849 40855 40856 40858 40859 40861 40867 40870 40878 40879 40880 40881 40882 40885 40888 40892 40899 40900 40901 40905 40906 40907 40912 40921 40923 40927 40931 40940 40945 40949 40953 40954 40957 40960 40962 40970 40972 40973 40975 40979 40982 40985 40999 41001 41003 41008 41009 41010 41012 41013 41014 41016 41018 41020 41025 41026 41028 41029 41031 41034 41035 41036 41040 41041 41045 41047 41048 41050 41052 41053 41057 41062 41068 41077 41078 41080 41081 41082 41084 41088 41090 41092 41094 41098 41100 41103 41105 41107 41110 41113 41115 41116 41117 41119 41126 41128 41138 41139 41142 41145 41147 41148 41151 41152 41155 41157 41158 41160 41162 41169 41170 41174 41176 41177 41179 41181 41187 41191 41192 41194 41198 41200 41203 41205 41207 41211 41213 41214 41216 41217 41222 41223 41224 41229 41233 41234 41237 41238 41239 41240 41241 41242 41245 41246 41248 41250 41251 41252 41254 41255 41261 41265 41273 41279 41280 41282 41283 41287 41290 41292 41298 41302 41308 41313 41314 41315 41317 41318 41319 41320 41324 41325 41327 41328 41329 41335 41336 41338 41344 41345 41347 41350 41352 41354 41356 41359 41365 41370 41371 41372 41377 41378 41382 41396 41399 41412 41413 41415 41416 41426 41428 41431 41437 41439 41446 41450 41451 41456 41472 41475 41482 41486 41498 41499 41504 41505 41507 41509 41519 41521 41531 41535 41538 41544 41545 41553 41556 41561 41562 41563 41565 41568 41576 41578 41601 41605 41611 41612 41620 41624 41636 41641 41644 41645 41646 41650 41704 41708 41709 41710 41721 41722 41723 41734 41737 41745 41746 41768 41786 41787 41790 41792 41795 41823 41828 41830 41835 41850 41867 41871 41873 41875 41878 41881 41882 41884 41889 41895 41906 41908 41913 41915 41919 41920 41921 41922 41924 41925 41933 41941 41942 41943 41947 41953 41957 41958 41959 41966 41967 41972 41977 41981 41983 41986 41989 41991 41993 42002 42006 42010 42011 42013 42014 42018 42022 42024 42025 42038 42041 42043 42050 42055 42056 42058 42061 42069 42077 42080 42081 42082 42084 42087 42096 42104 42105 42110 42113 42122 42126 42127 42129 42133 42137 42139 42140 42176 42177 42180 42187 42193 42194 42195 42196 42199 42236 42242 42243 42246 42257 42261 42262 42263 42268 42270 42273 42283 42294 42296 42305 42307 42310 42311 42315 42320 42324 42346 42349 42354 42367 42369 42374 42385 42411 42426 42478 42479 42511 42514 42523 42524 42531 42533 42534 42539 42543 42545 42550 42559 42562 42563 42565 42567 42568 42588 42593 42595 42598 42599 42600 42601 42602 42605 42607 42608 42609 42612 42613 42614 42621 42623 42627 42642 42644 42649 42652 42653 42656 42663 42664 42668 42673 42679 42681 42685 42689 42690 42693 42700 42701 42703 42704 42707 42708 42710 42711 42717 42718 42721 42723 42724 42726 42727 42730 42738 42752 42753 42759 42760 42773 42777 42779 42783 42784 42798 42802 42805 42809 42827 42832 42841 42848 42850 42852 42875 42883 42884 42889 42891 42893 42898 42913 42920 42921 42932 42933 42937 42948 42949 42955 42961 42965 42968 42971 42979 42982 42991 42993 43006 43012 43025 43028 43033 43036 43047 43056 43058 43059 43065 43085 43087 43088 43091 43092 43095 43106 43110 43112 43113 43114 43116 43119 43120 43123 43124 43132 43138 43144 43148 43156 43159 43163 43165 43169 43171 43174 43182 43184 43187 43190 43196 43200 43201 43203 43205 43207 43208 43211 43228 43237 43240 43241 43243 43251 43253 43255 43256 43266 43269 43271 43273 43277 43279 43286 43288 43293 43294 43299 43300 43311 43326 43328 43329 43330 43332 43336 43347 43348 43367 43371 43373 43381 43398 43405 43417 43423 43428 43437 43443 43444 43453 43454 43459 43466 43468 43469 43470 43473 43478 43483 43487 43488 43490 43494 43495 43498 43500 43507 43513 43530 43532 43533 43537 43538 43553 43555 43556 43558 43559 43564 43567 43571 43572 43575 43584 43587 43588 43594 43597 43600 43601 43602 43620 43622 43630 43631 43636 43643 43647 43650 43652 43655 43660 43662 43665 43666 43670 43675 43677 43679 43683 43685 43686 43701 43704 43713 43716 43717 43721 43722 43723 43729 43730 43734 43735 43742 43745 43748 43750 43760 43761 43774 43775 43776 43783 43793 43801 43809 43813 43814 43840 43847 43859 43860 43886 43891 43895 43902 43904 43909 43910 43918 43919 43924 43925 43927 43929 43939 43943 43956 43964 43967 43971 43986 43991 43997 44000 44006 44007 44025 44032 44036 44038 44054 44066 44067 44072 44074 44076 44086 44091 44094 44105 44110 44118 44122 44128 44131 44136 44138 44142 44149 44154 44161 44169 44174 44186 44188 44192 44196 44207 44223 44224 44236 44238 44253 44259 44271 44275 44281 44287 44289 44299 44302 44306 44309 44317 44324 44325 44327 44333 44349 44350 44352 44363 44369 44375 44376 44378 44383 44388 44394 44400 44401 44403 44406 44410 44414 44417 44418 44420 44424 44439 44441 44445 44447 44451 44452 44454 44462 44470 44480 44485 44489 44500 44502 44518 44521 44523 44528 44529 44532 44537 44544 44549 44554 44559 44562 44572 44580 44588 44598 44599 44602 44610 44630 44633 44638 44645 44650 44652 44662 44664 44684 44686 44698 44707 44710 44730 44735 44738 44740 44743 44744 44751 44758 44766 44767 44770 44783 44786 44787 44790 44792 44806 44807 44810 44811 44814 44820 44821 44826 44828 44830 44833 44834 44841 44843 44844 44853 44855 44856 44859 44861 44867 44873 44885 44886 44892 44893 44895 44900 44903 44904 44908 44913 44914 44915 44916 44917 44919 44922 44929 44930 44936 44937 44949 44952 44956 44958 44976 44979 44982 44984 44987 45008 45011 45013 45018 45019 45022 45023 45025 45035 45040 45041 45043 45050 45056 45061 45062 45065 45067 45069 45071 45073 45077 45080 45083 45088 45089 45090 45094 45097 45098 45101 45103 45104 45105 45107 45108 45110 45115 45121 45122 45143 45147 45148 45151 45155 45157 45158 45161 45165 45167 45169 45171 45173 45176 45178 45180 45184 45187 45190 45192 45199 45200 45201 45203 45206 45208 45209 45211 45212 45214 45216 45217 45218 45220 45222 45224 45225 45233 45234 45238 45240 45241 45243 45244 45246 45259 45260 45263 45265 45267 45272 45275 45280 45284 45291 45294 45295 45300 45305 45306 45313 45315 45319 45323 45328 45339 45341 45343 45344 45345 45350 45351 45356 45357 45360 45361 45365 45366 45371 45373 45374 45376 45378 45381 45383 45385 45386 45389 45390 45395 45396 45401 45402 45404 45407 45408 45410 45414 45436 45441 45442 45443 45448 45453 45458 45459 45460 45461 45466 45468 45469 45471 45474 45475 45487 45492 45495 45499 45501 45503 45505 45506 45510 45515 45523 45530 45531 45532 45533 45535 45537 45538 45547 45549 45553 45554 45556 45559 45562 45563 45567 45569 45571 45572 45573 45575 45580 45583 45589 45590 45596 45597 45598 45608 45609 45630 45631 45632 45634 45637 45657 45662 45668 45672 45683 45686 45690 45691 45692 45696 45697 45702 45703 45704 45707 45709 45710 45711 45712 45713 45714 45716 45718 45723 45724 45726 45731 45733 45740 45741 45743 45744 45745 45746 45753 45757 45758 45759 45761 45764 45769 45771 45779 45784 45792 45793 45795 45797 45799 45806 45807 45808 45809 45811 45812 45816 45820 45826 45829 45833 45834 45835 45839 45851 45854 45855 45858 45859 45861 45872 45875 45880 45883 45885 45888 45892 45894 45895 45902 45907 45908 45909 45914 45915 45916 45917 45923 45926 45927 45931 45932 45945 45948 45950 45951 45955 45956 45966 45967 45969 45970 45972 45975 45978 45985 45986 45987 45990 45993 45995 45996 45999 46003 46010 46013 46019 46021 46023 46025 46027 46028 46030 46032 46034 46046 46055 46057 46062 46066 46067 46070 46074 46076 46078 46082 46094 46096 46097 46100 46106 46107 46108 46109 46110 46113 46118 46122 46125 46126 46138 46142 46144 46146 46147 46148 46152 46154 46155 46161 46165 46167 46172 46173 46177 46181 46183 46184 46186 46187 46188 46192 46196 46197 46199 46202 46206 46211 46214 46215 46220 46222 46223 46225 46226 46230 46240 46251 46252 46256 46261 46265 46267 46271 46275 46276 46284 46285 46288 46297 46299 46302 46303 46307 46310 46311 46316 46317 46320 46321 46323 46329 46331 46337 46339 46342 46348 46349 46351 46352 46355 46360 46362 46370 46372 46377 46384 46389 46396 46401 46405 46408 46410 46413 46414 46417 46420 46421 46423 46424 46425 46427 46429 46432 46438 46439 46448 46454 46456 46459 46460 46470 46474 46476 46482 46495 46505 46510 46511 46513 46514 46515 46517 46521 46526 46528 46530 46534 46539 46549 46557 46562 46563 46565 46578 46580 46583 46590 46594 46598 46606 46611 46616 46620 46623 46626 46629 46635 46646 46647 46649 46651 46655 46663 46664 46667 46670 46696 46700 46701 46702 46706 46708 46709 46710 46721 46723 46725 46727 46735 46744 46746 46747 46751 46754 46761 46762 46763 46771 46773 46782 46785 46787 46807 46811 46813 46829 46832 46841 46844 46847 46850 46854 46855 46858 46859 46860 46862 46863 46864 46866 46871 46875 46881 46891 46894 46895 46898 46906 46913 46914 46915 46917 46919 46921 46924 46932 46942 46952 46954 46964 46979 46983 46985 46993 47002 47009 47013 47014 47018 47020 47029 47032 47038 47054 47055 47071 47073 47083 47085 47088 47089 47095 47099 47105 47111 47112 47114 47120 47122 47124 47126 47130 47134 47138 47139 47141 47144 47148 47149 47153 47154 47155 47156 47157 47158 47160 47165 47168 47169 47177 47178 47182 47185 47189 47191 47200 47202 47203 47204 47207 47209 47214 47217 47222 47229 47233 47235 47236 47240 47242 47244 47245 47248 47251 47257 47258 47266 47272 47273 47275 47277 47279 47280 47282 47286 47287 47290 47292 47298 47302 47306 47308 47313 47314 47318 47319 47320 47324 47325 47326 47328 47333 47334 47335 47337 47338 47345 47346 47356 47357 47361 47362 47365 47367 47374 47375 47380 47381 47382 47391 47392 47393 47396 47397 47398 47400 47404 47407 47411 47412 47415 47421 47425 47426 47427 47429 47430 47434 47441 47443 47444 47452 47453 47454 47462 47463 47464 47465 47466 47470 47471 47479 47486 47487 47492 47494 47495 47497 47499 47501 47506 47508 47513 47517 47518 47520 47521 47522 47527 47528 47530 47534 47536 47537 47545 47546 47548 47551 47555 47558 47560 47564 47566 47568 47573 47574 47575 47579 47581 47582 47586 47607 47618 47620 47622 47628 47629 47637 47638 47640 47649 47651 47652 47655 47656 47660 47662 47664 47665 47666 47668 47673 47674 47680 47684 47687 47689 47693 47697 47705 47707 47710 47712 47714 47716 47730 47733 47734 47736 47740 47749 47756 47757 47772 47773 47775 47778 47780 47782 47783 47786 47792 47794 47797 47800 47808 47809 47813 47819 47822 47840 47845 47846 47847 47859 47862 47863 47869 47870 47875 47877 47879 47889 47890 47896 47902 47911 47912 47914 47919 47921 47928 47931 47934 47937 47941 47945 47948 47950 47956 47976 47981 47984 47986 47993 47996 48003 48009 48020 48026 48029 48031 48034 48035 48041 48045 48060 48062 48068 48069 48077 48078 48089 48096 48103 48128 48129 48132 48133 48138 48140 48141 48142 48149 48151 48152 48153 48154 48156 48165 48168 48171 48179 48180 48186 48201 48203 48206 48209 48225 48228 48237 48241 48247 48257 48263 48265 48271 48276 48287 48288 48291 48299 48302 48305 48306 48317 48318 48339 48348 48349 48352 48359 48361 48372 48378 48385 48389 48397 48403 48404 48405 48425 48426 48439 48445 48447 48469 48470 48471 48475 48478 48489 48494 48510 48525 48526 48534 48536 48558 48569 48573 48574 48583 48588 48592 48600 48601 48603 48604 48605 48609 48614 48615 48626 48628 48630 48631 48642 48644 48646 48647 48655 48666 48669 48673 48674 48677 48681 48686 48687 48695 48702 48711 48715 48725 48726 48730 48731 48732 48733 48739 48741 48747 48749 48750 48752 48763 48764 48768 48774 48777 48782 48784 48788 48792 48795 48798 48799 48805 48813 48822 48823 48825 48830 48833 48835 48836 48841 48842 48845 48849 48850 48852 48855 48856 48860 48862 48872 48873 48877 48880 48884 48895 48902 48903 48904 48905 48906 48930 48932 48933 48967 48970 48971 48983 48990 48995 48998 48999 49005 49008 49010 49018 49019 49020 49022 49028 49033 49037 49039 49043 49044 49049 49050 49052 49054 49059 49061 49062 49065 49068 49078 49081 49092 49098 49101 49110 49114 49115 49122 49123 49130 49131 49136 49139 49146</spatial><spectral>8.650015785639275e-20 3.916500758235022e-19</spectral><footprint ivo-id="ivo://ivoa.net/std/moc">https://cdsarc.cds.unistra.fr/viz-bin/moc/VI/156?format=ascii</footprint></coverage><tableset><schema><name>default</name><table><name>VI/156/mdwarfp</name><description>Input data and fitted properties for stars in our (updated version, 16-Oct-2020)</description><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Id</name><description>[1/15765] Internal identifier for the object within our catalogue (id)</description><ucd>meta.id</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>RA_ICRS</name><description>Right ascension of the source (ICRS) at Ep=2015.5 as given in the Gaia DR2 catalogue (ra)</description><unit>deg</unit><ucd>pos.eq.ra;meta.main</ucd><flag>indexed</flag></column><column><name>DE_ICRS</name><description>Declination of the source (ICRS) at Ep=2015.5 as given in the Gaia DR2 catalogue (dec)</description><unit>deg</unit><ucd>pos.eq.dec;meta.main</ucd><flag>indexed</flag></column><column><name>Source</name><description>Unique source identifier of the star within Gaia DR2 (source_id)</description><ucd>meta.id;meta.main</ucd></column><column><name>Gmag</name><description>[9.0/18.1] G-band mean magnitude of the star in the Gaia DR2 catalogue (phot_g_mean_mag)</description><unit>mag</unit><ucd>phot.mag;em.opt</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>BPmag</name><description>[9.8/20.8] Integrated BP mean magnitude of the star in the Gaia DR2 catalogue (phot_bp_mean_mag)</description><unit>mag</unit><ucd>phot.mag;em.opt.B</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>RPmag</name><description>[8.1/16.5] Integrated RP mean magnitude of the star in the Gaia DR2 catalogue (phot_rp_mean_mag)</description><unit>mag</unit><ucd>phot.mag;em.opt.R</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>e_BPmag</name><description>[0.0/0.3] Uncertainty of the BP mean magnitude of the star in the Gaia DR2 catalogue (phot_bp_mean_mag_err)</description><unit>mag</unit><ucd>stat.error;phot.mag</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>e_RPmag</name><description>[0.0/0.3] Uncertainty of the RP mean magnitude of the star in the Gaia DR2 catalogue (phot_rp_mean_mag_err)</description><unit>mag</unit><ucd>stat.error;phot.mag</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>FBP</name><description>[70.8/1558645.7] Integrated BP mean flux of the star in the Gaia DR2 catalogue (phot_bp_mean_flux)</description><ucd>phot.flux.density;em.opt.B</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>FRP</name><description>[2151.6/4289144.1] Integrated RP mean flux of the star in the Gaia DR2 catalogue (phot_rp_mean_flux)</description><ucd>phot.flux.density;em.opt.R</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>FG</name><description>[1119.4/4568808.7] G-band mean flux of the star in the Gaia DR2 catalogue (phot_g_mean_flux)</description><ucd>phot.flux.density;em.opt</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>chi2AL</name><description>[56.3/24146.0] Astrometric goodness of fit in the Gaia DR2 catalogue (astrometric_chi2_al)</description><ucd>stat.fit.goodness</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>NgAL</name><description>[66.0/916.0] No. CCD transits not downweighted in the astrometric solution in the Gaia DR2 Catalogue (astrometric_n_good_obs_al)</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Jmag</name><description>[6.9/13.9] J band magnitude of the star in 2MASS (Jmag_cds)</description><unit>mag</unit><ucd>phot.mag;em.IR.J</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_Jmag</name><description>[0.0/0.1] Uncertainty in J band magnitude of the star in 2MASS (e_Jmag_cds)</description><unit>mag</unit><ucd>stat.error;phot.mag</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Hmag</name><description>[6.3/13.4] H band magnitude of the star in 2MASS (Hmag_cds)</description><unit>mag</unit><ucd>phot.mag;em.IR.H</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_Hmag</name><description>[0.0/0.1] Uncertainty in H band magnitude of the star in 2MASS (e_Hmag_cds)</description><unit>mag</unit><ucd>stat.error;phot.mag</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Kmag</name><description>[6.0/13.1] Ks band magnitude of the star in 2MASS (Kmag_cds)</description><unit>mag</unit><ucd>phot.mag;em.IR.K</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_Kmag</name><description>[0.0/0.1] Uncertainty in Ks band magnitude of the star in 2MASS (e_Kmag_cds)</description><unit>mag</unit><ucd>stat.error;phot.mag</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>W1mag</name><description>[5.9/12] W1 band magnitude of the star in AllWISE (W1mag_cds)</description><unit>mag</unit><ucd>phot.mag;em.IR.3-4um</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_W1mag</name><description>[0.0/0.2] Uncertainty in W1 band magnitude of the star in AllWISE (e_W1mag_cds)</description><unit>mag</unit><ucd>stat.error;phot.mag</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>W2mag</name><description>[5.7/11.8] W2 band magnitude of the star in AllWISE (W2mag_cds)</description><unit>mag</unit><ucd>phot.mag;em.IR.4-8um</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_W2mag</name><description>[0.0/0.1] Uncertainty in W2 band magnitude of the star in AllWISE (e_W2mag_cds)</description><unit>mag</unit><ucd>stat.error;phot.mag</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>W3mag</name><description>[5.7/11.3] W3 band magnitude of the star in AllWISE (W3mag_cds)</description><unit>mag</unit><ucd>phot.flux.density;em.IR.8-15um</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_W3mag</name><description>[0.0/0.2] Uncertainty in W3 band magnitude of the star in AllWISE (e_W3mag_cds)</description><unit>mag</unit><ucd>stat.error;phot.mag</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>ModelNo</name><description>[0.0/3535.0] Number of the best fitting model in our grid (model_no)</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Norm</name><description>[45.0/51.0] Magnitude normalisation calculated by the code to scale Z_i_ to m_i,syn_ (norm)</description><ucd>phot.mag;arith.diff</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>chisq</name><description>[0.0/3255.6] Goodness of fit for the best fitting model (chisq)</description><ucd>stat.fit.goodness</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>rchisq</name><description>[0.0/407.0] Goodness of fit per degree of freedom for the best fitting model (reduced_chisq)</description><ucd>stat.fit.goodness</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Prob</name><description>[0.0/1.0] The corresponding probability of being the best fitting model (prob)</description><ucd>stat.probability;meta.modelled</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>rsqr/dsqr</name><description>Measured radius squared on distance squared of the target (rsqr_on_dsqr)</description><ucd>phys.size.radius</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Rad</name><description>[0.0/1.3] Our measured radius of the target (in units of R_{sun}_) (radius)</description><unit>solRad</unit><ucd>phys.size.radius</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Dist</name><description>[9.5/100.0] Estimated distance (in pc) to the target (dist)</description><unit>pc</unit><ucd>pos.distance;pos.heliocentric</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>b_Dist</name><description>[9.4/99.8] Lower bound on the confidence interval of the estimated distance (in pc) (dist_lbound)</description><unit>pc</unit><ucd>pos.distance;stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>B_Dist</name><description>[9.5/100.5] Upper bound on the confidence interval of the estimated distance (in pc) (dist_ubound)</description><unit>pc</unit><ucd>pos.distance;stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Nphot</name><description>[8] The number of photometric data points used for the SED fitting (nphot)</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Teff</name><description>[335/5100] Our measured SED temperature of the target (Teff)</description><unit>K</unit><ucd>phys.temperature</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>logg</name><description>[4.0/5.5] Our measured surface gravity of the target (Log(g))</description><unit>log(cm.s**-2)</unit><ucd>phys.gravity</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>BadPhot</name><description>Flag showing whether source is consistent with contaminated photometry in Gaia DR2 (bad_phot)</description><ucd>meta.code</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>BadAstr</name><description>Flag indicating whether source is consistent with contaminated astrometry in Gaia DR2 (bad_astr)</description><ucd>meta.code</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>BadTeff</name><description>Flag indicating that the measured T_SED_ is at a grid boundary (bad_teff)</description><ucd>meta.code</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Good</name><description>True if none of bad_phot, bad_astr or bad_teff are true for the source (good)</description><ucd>meta.code</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>bTeff</name><description>? Lower bound on the confidence interval of our measured T_SED_ (teff_lbound)</description><unit>K</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>BTeff</name><description>? Upper bound on the confidence interval of our measured T_SED_ (teff_ubound)</description><unit>K</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>blogg</name><description>? Lower bound on the confidence interval of our measured log(g) (g_lbound)</description><unit>log(cm.s**-2)</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>Blogg</name><description>? Upper bound on the confidence interval of our measured log(g) (g_ubound)</description><unit>log(cm.s**-2)</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>bRad</name><description>? Lower bound on the confidence interval of our measured radius (radius_lbound)</description><unit>solRad</unit><ucd>stat.fit.param;phys.size.radius</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>BRad</name><description>? Upper bound on the confidence interval of our measured radius (radius_ubound)</description><unit>solRad</unit><ucd>stat.fit.param;phys.size.radius</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>tausq68cont</name><description>? Value of {chi}^2^ within which 68% of the confidence is bounded within the cube (tau_sq_68_contour)</description><ucd>stat.fit.chi2</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>UncerSample</name><description>Sample for which the uncertainties correspond. For this publication, it will be 'random' (uncer_sample)</description><ucd>src.sample</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column><column><name>d08inflation</name><description>[-44.8/50.4] Radius inflation (in %) from the Dotter et al. (2008ApJS..178...89D) 4Gyr solar metallicity isochrone (d08_inflation)</description><unit>%</unit><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>d08lrcorr</name><description>Radius residual when corrected for our luminosity - radius relation (d08_lum_corr_radius)</description><unit>solRad</unit><ucd>stat.fit.residual;phys.size.radius</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Lum</name><description>? Luminosity measured for the source when correcting the radius for metallicity (lum)</description><unit>solLum</unit><ucd>phys.luminosity</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>Radcorr</name><description>? Radius of the star when corrected for the effects of metallicity (corrected_radius)</description><unit>solRad</unit><ucd>phys.size.radius</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>bRadcorr</name><description>? Lower bound on the confidence interval of our metallicity corrected radius (corrected_radius_lbound)</description><unit>solRad</unit><ucd>phys.size.radius</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>BRadcorr</name><description>? Upper bound on the confidence interval of our metallicity corrected radius (corrected_radius_ubound)</description><unit>solRad</unit><ucd>phys.size.radius</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>[Fe/H]</name><description>? Measured metallicity of the target (fe_h)</description><ucd>phys.abund.Z</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>r_[Fe/H]</name><description>The bibcode corresponding to the source of the metallicity measurement (fe_h_bibcode)</description><ucd>meta.ref</ucd><dataType xsi:type="vs:VOTableType" arraysize="19*">char</dataType></column><column><name>Radcorr2</name><description>? The correction applied to our measured radius to correct for metallicity, measured in R_{sun}_ (rad_corr)</description><unit>solRad</unit><ucd>arith.factor;phys.size.radius</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>_RA.icrs</name><description>Right ascension (ICRS) at Epoch=J2015.5 (computed by VizieR, not part of the original data. The format may include more digits than the original data because of internal accuracy requirements in VizieR and across other CDS services)</description><unit>deg</unit><ucd>pos.eq.ra</ucd><flag>nullable</flag><flag>indexed</flag></column><column><name>_DE.icrs</name><description>Declination (ICRS) at Epoch=J2015.5 (computed by VizieR, not part of the original data. The format may include more digits than the original data because of internal accuracy requirements in VizieR and across other CDS services)</description><unit>deg</unit><ucd>pos.eq.dec</ucd><flag>nullable</flag><flag>indexed</flag></column></table><table><name>VI/156/table3</name><description>Tabulated form of our T_SED_-R relation for M-dwarf stars (corrected version)</description><column><name>TSED</name><description>[3000/4400] SED temperature of the source</description><unit>K</unit><ucd>phys.temperature</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Rad</name><description>[0.1/0.8] Radius prescribed by the relation at temperature T_SED_</description><unit>solRad</unit><ucd>phys.size.radius</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>b_Rad</name><description>[0.1/0.7] Lower bound radius prescribed by the relation at temperature T_SED_</description><unit>solRad</unit><ucd>phys.size.radius;stat.min</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>B_Rad</name><description>[0.2/0.8] Upper bound radius prescribed by the relation at temperature T_SED_</description><unit>solRad</unit><ucd>phys.size.radius;stat.max</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column></table><table><name>VI/156/table4</name><description>Tabulated form of our L_SED_-R relation for M-dwarf stars (corrected version)</description><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LSED</name><description>[0.0/0.1] Luminosity of the source from a SED fit (lsed)</description><unit>solLum</unit><ucd>phys.luminosity</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Radcorr</name><description>[0.0/0.7] Radius correction to the D08 4Gyr isochrone at luminosity L_SED_ (radius_correction)</description><unit>solRad</unit><ucd>arith.factor;phys.size.radius</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>b_Radcorr</name><description>[-0.1/0.7] Lower bound radius correction to the D08 4Gyr isochrone at luminosity L_SED_ (radius_correction_lbound)</description><unit>solRad</unit><ucd>arith.factor;phys.size.radius;stat.min</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>B_Radcorr</name><description>[0.0/0.7] Upper bound radius correction to the D08 4Gyr isochrone at luminosity L_SED_ (radius_correction_ubound_</description><unit>solRad</unit><ucd>arith.factor;phys.size.radius;stat.max</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Rad</name><description>[0.1/0.7] Radius prescribed by the relation at luminosity L_SED_ (radius)</description><unit>solRad</unit><ucd>phys.size.radius</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>b_Rad</name><description>[0.1/0.7] Lower bound radius prescribed by the relation at luminosity L_SED_ (radius_lbound)</description><unit>solRad</unit><ucd>phys.size.radius;stat.min</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>B_Rad</name><description>[0.2/0.8] Upper bound radius prescribed by the relation at luminosity L_SED_ (radius_ubound)</description><unit>solRad</unit><ucd>phys.size.radius;stat.max</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column></table><table><name>VI/156/table5</name><description>Tabulated values of F(L_SED) in equation 16 (corrected version)</description><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LSED</name><description>[0.0/0.1] Luminosity of the source from a SED fit (lum)</description><unit>solLum</unit><ucd>phys.luminosity</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>fLSED</name><description>[-0.1/-0.0] Gradient of F(L_SED_) at the given luminosity L_SED_ (f_lum)</description><ucd>arith.grad</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column></table></schema></tableset></ri:Resource>