1681:
1220:
666:
3226:
1676:{\displaystyle {\begin{aligned}u^{\prime }&={\frac {u^{*}}{13L^{*}}}+u_{n}^{\prime }\\v^{\prime }&={\frac {v^{*}}{13L^{*}}}+v_{n}^{\prime }\\Y&={\begin{cases}Y_{n}\cdot L^{*}\cdot \left({\frac {3}{29}}\right)^{3},&L^{*}\leq 8\\Y_{n}\cdot \left({\frac {L^{*}+16}{116}}\right)^{3},&L^{*}>8\end{cases}}\\X&=Y\cdot {\frac {9u^{\prime }}{4v^{\prime }}}\\Z&=Y\cdot {\frac {12-3u^{\prime }-20v^{\prime }}{4v^{\prime }}}\\\end{aligned}}}
1713:
117:
271:
1005:
1697:
101:
661:{\displaystyle {\begin{aligned}L^{*}&={\begin{cases}\left({\frac {29}{3}}\right)^{3}Y/Y_{n},&Y/Y_{n}\leq \left({\frac {6}{29}}\right)^{3}\\116\left(Y/Y_{n}\right)^{1/3}-16,&Y/Y_{n}>\left({\frac {6}{29}}\right)^{3}\end{cases}}\\u^{*}&=13L^{*}\cdot (u^{\prime }-u_{n}^{\prime })\\v^{*}&=13L^{*}\cdot (v^{\prime }-v_{n}^{\prime })\end{aligned}}}
1718:
1717:
1714:
122:
121:
118:
1719:
123:
994:
1716:
120:
1702:
1701:
1698:
1209:
106:
105:
102:
1703:
107:
2509:
As 24/116 is not a simple ratio, in some publications the 6/29 ratio is used, in others the approximate value of 0.008856 (used in earlier editions of CIE 15). Similarly some authors prefer to use instead of 841/108 the expression (1/3)×(29/6) or the approximate value of 7.787, or instead of 16/116
1700:
104:
2687:
MATLAB toolbox for color science computation and accurate color reproduction (by Jesus Malo and Maria Jose Luque, Universitat de
Valencia). It includes CIE standard tristimulus colorimetry and transformations to a number of non-linear color appearance models (CIELAB, CIE CAM,
780:
2185:
1949:
1053:
2310:
1715:
119:
2021:
1699:
75:. It is extensively used for applications such as computer graphics which deal with colored lights. Although additive mixtures of different colored lights will fall on a line in CIELUV's uniform
103:
1225:
1058:
785:
276:
989:{\displaystyle {\begin{aligned}u^{\prime }&={\frac {4X}{X+15Y+3Z}}&={\frac {4x}{-2x+12y+3}}\\v^{\prime }&={\frac {9Y}{X+15Y+3Z}}&={\frac {9y}{-2x+12y+3}}\end{aligned}}}
2632:
Stauffer, Reto; Mayr, Georg J.; Dabernig, Markus; Zeileis, Achim (2015). "Somewhere over the
Rainbow: How to Make Effective Use of Colors in Meteorological Visualizations".
1204:{\displaystyle {\begin{aligned}x&={\frac {9u^{\prime }}{6u^{\prime }-16v^{\prime }+12}}\\y&={\frac {4v^{\prime }}{6u^{\prime }-16v^{\prime }+12}}\end{aligned}}}
1822:
2043:
83:), such additive mixtures will not, contrary to popular belief, fall along a line in the CIELUV color space unless the mixtures are constant in
2470:
D. H. Alman, R. S. Berns, G. D. Snyder, and W. A. Larson, "Performance testing of color difference metrics using a color-tolerance dataset".
3205:
2824:
2771:
202:
were adopted simultaneously by the CIE when no clear consensus could be formed behind only one or the other of these two color spaces.
2679:
2229:
2781:
64:
225:. The translational adaptation transform used in CIELUV has also been shown to perform poorly in predicting corresponding colors.
1955:
2713:
2502:
2733:
163:
3083:
2552:
3000:
249:
CIELUV is based on CIEUVW and is another attempt to define an encoding with uniformity in the perceptibility of
2794:
733:
222:
3126:
2761:
2429:
Judd, Deane B. (January 1940). "Hue saturation and lightness of surface colors with chromatic illumination".
1778:
3255:
3210:
3136:
2862:
2706:
1767:
1379:
301:
2867:
2577:
Proceedings of the 3rd
International Workshop on Distributed Statistical Computing, Vienna, Austria
17:
3230:
1944:{\displaystyle C_{uv}^{*}=\operatorname {hypot} (u^{*},v^{*})={\sqrt {(u^{*})^{2}+(v^{*})^{2}}},}
1763:
2748:
2572:
2857:
72:
3250:
3183:
3178:
3173:
3153:
2804:
2799:
2789:
2699:
2641:
1770:
community as a way to help with presenting data without the bias implicit in using varying
195:
167:
68:
2180:{\displaystyle s_{uv}={\frac {C^{*}}{L^{*}}}=13{\sqrt {(u'-u'_{n})^{2}+(v'-v'_{n})^{2}}}.}
1019:
chromaticity diagram, also known as the CIE 1976 UCS (uniform chromaticity scale) diagram.
213:). This can produce useful results when working with a single illuminant, but can predict
8:
3193:
3168:
3158:
3131:
737:
210:
2645:
3198:
3028:
2809:
2410:
2207:
2191:
3073:
2580:
2548:
2498:
2031:
729:
183:
3068:
3033:
2842:
2657:
2649:
2614:
2440:
2203:
250:
2684:
716:
is its luminance. In reflection mode, this is often (but not always) taken as the
186:
scale and a modified uniform chromaticity scale, in which one of the coordinates,
3148:
3108:
3098:
3093:
3088:
3063:
3048:
2852:
2834:
703:
chromaticity coordinates of a "specified white object" – which may be termed the
214:
2190:
Similar correlates of chroma and hue, but not saturation, exist for CIELAB. See
2618:
218:
2653:
3244:
2584:
2599:
3141:
2444:
1800:
1771:
76:
3163:
3058:
2738:
2722:
2333:
The
Euclidean metric can also be used in CIELCh, with that component of Δ
704:
206:
60:
31:
2662:
3053:
2568:
2524:
second edition: CIE publication 15.2. Vienna: Bureau
Central CIE, 1986.
2988:
2976:
2971:
2902:
2897:
84:
3043:
3038:
2966:
2961:
2920:
2912:
2892:
2887:
2882:
2819:
2756:
3188:
3078:
2680:
Chromaticity diagrams, including the CIE 1931, CIE 1960, CIE 1976
67:(CIE) in 1976, as a simple-to-compute transformation of the 1931
2877:
1214:
The transformation from CIELUV to XYZ is performed as follows:
1004:
199:
2691:
2305:{\displaystyle {\sqrt {(\Delta u')^{2}+(\Delta v')^{2}}}=1/13}
3012:
3007:
2995:
2983:
2956:
2937:
2932:
2872:
2766:
2600:"Escaping RGBland: Selecting Colors for Statistical Graphics"
2575:. In Hornik, Kurt; Leisch, Friedrich; Zeileis, Achim (eds.).
2027:
228:
2949:
2847:
2631:
2431:
2016:{\displaystyle h_{uv}=\operatorname {atan2} (v^{*},u^{*}),}
1729:
1535:
508:
133:
3103:
2944:
2925:
2405:
1813:
3223:
For the vision capacities of organisms or machines, see
2226:
coordinates. It follows that a chromaticity distance of
2037:
Furthermore, the saturation correlate can be defined as
1686:
182:(CIEUVW). The differences include a slightly modified
2232:
2046:
1958:
1825:
1223:
1056:
783:
274:
2598:
Zeileis, Achim; Hornik, Kurt; Murrell, Paul (2009).
2597:
2030:
function, a "two-argument arctangent", computes the
1766:(hue–chroma–luminance) is increasingly seen in the
2304:
2179:
2015:
1943:
1675:
1203:
988:
660:
209:adaptation (in contrast with CIELAB, which uses a
3242:
2634:Bulletin of the American Meteorological Society
2707:
999:
732:under that illuminant. (For example, for the
244:
2607:Computational Statistics & Data Analysis
2451:
1736:) and visible gamut under D65 illumination (
140:) and visible gamut under D65 illumination (
2197:
1740:) plotted within the CIELCHuv color space.
2714:
2700:
2591:
2515:
2661:
2538:
2536:
2534:
2532:
2530:
2495:Colorimetry: Understanding the CIE System
2488:
2486:
2484:
229:XYZ → CIELUV and CIELUV → XYZ conversions
144:) plotted within the CIELUV color space.
2561:
2464:
2034:angle from a Cartesian coordinate pair.
1003:
90:
65:International Commission on Illumination
2542:
2492:
14:
3243:
2527:
2497:. Wiley Interscience. pp. 61–64.
2481:
1752:is the angle around the circumference.
205:CIELUV uses Judd-type (translational)
2695:
2567:
2343:attributable to difference in hue as
55:, commonly known by its abbreviation
2461:. Reading, MA: Addison-Wesley, 1998.
2428:
1781:version of CIELUV is known as CIELCh
2194:for more discussion on saturation.
1785:, or CIELChuv, CIELCh(uv) or CIEHLC
1687:Cylindrical representation (CIELCh)
164:Adams chromatic valence color space
24:
2573:"Colour for Presentation Graphics"
2265:
2238:
1661:
1646:
1630:
1585:
1570:
1355:
1301:
1287:
1233:
1183:
1167:
1152:
1113:
1097:
1082:
892:
793:
646:
628:
575:
557:
25:
3267:
2673:
221:) when attempting to use it as a
3225:
3224:
2547:. Morgan-Kaufmann. p. 226.
1711:
1695:
115:
99:
2721:
2330:, in direct analogy to CIEUVW.
253:. The non-linear relations for
2625:
2472:Color Research and Application
2422:
2277:
2262:
2250:
2235:
2163:
2135:
2123:
2095:
2007:
1981:
1927:
1913:
1901:
1887:
1879:
1853:
651:
620:
580:
549:
223:chromatic adaptation transform
13:
1:
2416:
2322:as a lightness difference of
2206:can be calculated using the
190:′, is 1.5 times as large as
7:
2399:
730:perfect reflecting diffuser
10:
3272:
3137:Colour Index International
2619:10.1016/j.csda.2008.11.033
1000:The reverse transformation
245:The forward transformation
3221:
3117:
3021:
2911:
2833:
2780:
2747:
2729:
2654:10.1175/BAMS-D-13-00155.1
2543:Poynton, Charles (2003).
2312:corresponds to the same Δ
1768:information visualization
152:are the horizontal axes;
2198:Color and hue difference
1748:is the cylinder radius;
1023:The transformation from
166:and is an update of the
2493:Schanda, János (2007).
2459:Color Appearance Models
2545:Digital Video and HDTV
2445:10.1364/JOSA.30.000002
2306:
2181:
2017:
1945:
1744:is the vertical axis;
1677:
1205:
1020:
990:
662:
71:, but which attempted
2307:
2182:
2018:
1946:
1678:
1206:
1007:
991:
663:
156:is the vertical axis.
91:Historical background
73:perceptual uniformity
3154:Federal Standard 595
2734:List of color spaces
2230:
2044:
1956:
1823:
1221:
1054:
781:
272:
77:chromaticity diagram
2646:2015BAMS...96..203S
2457:Mark D. Fairchild,
2161:
2121:
1843:
1359:
1291:
774:′ are given below:
738:standard illuminant
650:
579:
265:* are given below:
217:(i.e., outside the
211:von Kries transform
69:CIE XYZ color space
3256:1976 introductions
2411:CIELAB color space
2302:
2208:Euclidean distance
2177:
2149:
2109:
2013:
1941:
1826:
1673:
1671:
1534:
1345:
1277:
1201:
1199:
1021:
986:
984:
658:
656:
636:
565:
507:
3238:
3237:
2504:978-0-470-04904-4
2286:
2172:
2085:
1936:
1720:
1704:
1667:
1591:
1499:
1421:
1340:
1272:
1195:
1125:
980:
937:
881:
838:
766:.) Equations for
493:
386:
317:
251:color differences
124:
108:
16:(Redirected from
3263:
3228:
3227:
3214:
2843:RGB color spaces
2716:
2709:
2702:
2693:
2692:
2668:
2667:
2665:
2629:
2623:
2622:
2613:(9): 3259–3270.
2604:
2595:
2589:
2588:
2565:
2559:
2558:
2540:
2525:
2519:
2513:
2512:
2490:
2479:
2478::174–188 (1989).
2468:
2462:
2455:
2449:
2448:
2426:
2395:
2374:
2368:
2367:
2329:
2311:
2309:
2308:
2303:
2298:
2287:
2285:
2284:
2275:
2258:
2257:
2248:
2234:
2225:
2204:color difference
2186:
2184:
2183:
2178:
2173:
2171:
2170:
2157:
2145:
2131:
2130:
2117:
2105:
2094:
2086:
2084:
2083:
2074:
2073:
2064:
2059:
2058:
2022:
2020:
2019:
2014:
2006:
2005:
1993:
1992:
1971:
1970:
1950:
1948:
1947:
1942:
1937:
1935:
1934:
1925:
1924:
1909:
1908:
1899:
1898:
1886:
1878:
1877:
1865:
1864:
1842:
1837:
1722:
1721:
1706:
1705:
1682:
1680:
1679:
1674:
1672:
1668:
1666:
1665:
1664:
1651:
1650:
1649:
1634:
1633:
1614:
1592:
1590:
1589:
1588:
1575:
1574:
1573:
1560:
1538:
1537:
1525:
1524:
1510:
1509:
1504:
1500:
1495:
1488:
1487:
1477:
1467:
1466:
1447:
1446:
1432:
1431:
1426:
1422:
1414:
1404:
1403:
1391:
1390:
1358:
1353:
1341:
1339:
1338:
1337:
1324:
1323:
1314:
1305:
1304:
1290:
1285:
1273:
1271:
1270:
1269:
1256:
1255:
1246:
1237:
1236:
1210:
1208:
1207:
1202:
1200:
1196:
1194:
1187:
1186:
1171:
1170:
1157:
1156:
1155:
1142:
1126:
1124:
1117:
1116:
1101:
1100:
1087:
1086:
1085:
1072:
1046:
1034:
1018:
995:
993:
992:
987:
985:
981:
979:
953:
945:
938:
936:
913:
905:
896:
895:
882:
880:
854:
846:
839:
837:
814:
806:
797:
796:
765:
752:
727:
702:
667:
665:
664:
659:
657:
649:
644:
632:
631:
616:
615:
596:
595:
578:
573:
561:
560:
545:
544:
525:
524:
511:
510:
504:
503:
498:
494:
486:
476:
475:
466:
447:
446:
442:
433:
429:
428:
427:
418:
397:
396:
391:
387:
379:
369:
368:
359:
346:
345:
336:
328:
327:
322:
318:
310:
288:
287:
240:
215:imaginary colors
196:1960 predecessor
126:
125:
110:
109:
21:
3271:
3270:
3266:
3265:
3264:
3262:
3261:
3260:
3241:
3240:
3239:
3234:
3217:
3208:
3142:CI list of dyes
3119:
3113:
3069:Imaginary color
3017:
2907:
2853:rg chromaticity
2829:
2776:
2743:
2725:
2720:
2676:
2671:
2630:
2626:
2602:
2596:
2592:
2566:
2562:
2555:
2541:
2528:
2520:
2516:
2510:the ratio 4/29.
2505:
2491:
2482:
2469:
2465:
2456:
2452:
2427:
2423:
2419:
2402:
2394:
2387:
2376:
2366:
2359:
2352:
2350:
2344:
2342:
2323:
2321:
2294:
2280:
2276:
2268:
2253:
2249:
2241:
2233:
2231:
2228:
2227:
2211:
2200:
2166:
2162:
2153:
2138:
2126:
2122:
2113:
2098:
2093:
2079:
2075:
2069:
2065:
2063:
2051:
2047:
2045:
2042:
2041:
2001:
1997:
1988:
1984:
1963:
1959:
1957:
1954:
1953:
1930:
1926:
1920:
1916:
1904:
1900:
1894:
1890:
1885:
1873:
1869:
1860:
1856:
1838:
1830:
1824:
1821:
1820:
1811:
1798:
1788:
1784:
1764:HCL color space
1761:
1756:
1755:
1754:
1753:
1725:
1724:
1723:
1712:
1708:
1707:
1696:
1689:
1670:
1669:
1660:
1656:
1652:
1645:
1641:
1629:
1625:
1615:
1613:
1600:
1594:
1593:
1584:
1580:
1576:
1569:
1565:
1561:
1559:
1546:
1540:
1539:
1533:
1532:
1520:
1516:
1514:
1505:
1483:
1479:
1478:
1476:
1472:
1471:
1462:
1458:
1455:
1454:
1442:
1438:
1436:
1427:
1413:
1409:
1408:
1399:
1395:
1386:
1382:
1375:
1374:
1367:
1361:
1360:
1354:
1349:
1333:
1329:
1325:
1319:
1315:
1313:
1306:
1300:
1296:
1293:
1292:
1286:
1281:
1265:
1261:
1257:
1251:
1247:
1245:
1238:
1232:
1228:
1224:
1222:
1219:
1218:
1198:
1197:
1182:
1178:
1166:
1162:
1158:
1151:
1147:
1143:
1141:
1134:
1128:
1127:
1112:
1108:
1096:
1092:
1088:
1081:
1077:
1073:
1071:
1064:
1057:
1055:
1052:
1051:
1036:
1024:
1008:
1002:
983:
982:
954:
946:
944:
939:
914:
906:
904:
897:
891:
887:
884:
883:
855:
847:
845:
840:
815:
807:
805:
798:
792:
788:
784:
782:
779:
778:
763:
754:
750:
741:
717:
715:
692:
690:
680:
671:The quantities
655:
654:
645:
640:
627:
623:
611:
607:
597:
591:
587:
584:
583:
574:
569:
556:
552:
540:
536:
526:
520:
516:
513:
512:
506:
505:
499:
485:
481:
480:
471:
467:
462:
457:
438:
434:
423:
419:
414:
410:
406:
405:
399:
398:
392:
378:
374:
373:
364:
360:
355:
350:
341:
337:
332:
323:
309:
305:
304:
297:
296:
289:
283:
279:
275:
273:
270:
269:
247:
234:
233:By definition,
231:
160:
159:
158:
157:
129:
128:
127:
116:
112:
111:
100:
93:
63:adopted by the
28:
23:
22:
15:
12:
11:
5:
3269:
3259:
3258:
3253:
3236:
3235:
3222:
3219:
3218:
3216:
3215:
3203:
3202:
3201:
3191:
3186:
3181:
3176:
3171:
3166:
3161:
3156:
3151:
3146:
3145:
3144:
3134:
3129:
3123:
3121:
3115:
3114:
3112:
3111:
3106:
3101:
3096:
3091:
3086:
3081:
3076:
3071:
3066:
3061:
3056:
3051:
3046:
3041:
3036:
3031:
3025:
3023:
3019:
3018:
3016:
3015:
3010:
3005:
3004:
3003:
2993:
2992:
2991:
2981:
2980:
2979:
2974:
2969:
2964:
2954:
2953:
2952:
2942:
2941:
2940:
2930:
2929:
2928:
2917:
2915:
2909:
2908:
2906:
2905:
2900:
2895:
2890:
2888:SMPTE 240M/"C"
2885:
2880:
2875:
2870:
2865:
2860:
2855:
2850:
2845:
2839:
2837:
2831:
2830:
2828:
2827:
2822:
2817:
2812:
2807:
2802:
2797:
2792:
2786:
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2674:External links
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3118:Color systems
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3231:Color vision
2814:
2739:Color models
2663:10419/101098
2637:
2633:
2627:
2610:
2606:
2593:
2576:
2563:
2544:
2522:Colorimetry,
2521:
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2192:Colorfulness
2189:
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81:CIE 1976 UCS
80:
79:(called the
56:
52:
47:
43:
39:
38:
35:
29:
3251:Color space
3209: [
3164:ICC profile
2723:Color space
2569:Ihaka, Ross
2439:(1): 2–32.
1779:cylindrical
734:2° observer
705:white point
207:white point
61:color space
53:color space
32:colorimetry
27:Color space
3245:Categories
3054:Hexachrome
2863:Wide-gamut
2805:UVW (1964)
2800:YUV (1960)
2795:RGB (1931)
2790:XYZ (1931)
2417:References
1772:saturation
168:CIE 1964 (
3206:JIS Z8102
2989:Rec. 2100
2977:Rec. 2100
2972:Rec. 2020
2903:Rec. 2100
2898:Rec. 2020
2585:1609-395X
2266:Δ
2239:Δ
2147:−
2107:−
2081:∗
2071:∗
2003:∗
1990:∗
1979:
1922:∗
1896:∗
1875:∗
1862:∗
1851:
1840:∗
1662:′
1647:′
1636:−
1631:′
1620:−
1611:⋅
1586:′
1571:′
1557:⋅
1522:∗
1485:∗
1469:⋅
1449:≤
1444:∗
1406:⋅
1401:∗
1393:⋅
1356:′
1335:∗
1321:∗
1302:′
1288:′
1267:∗
1253:∗
1234:′
1184:′
1173:−
1168:′
1153:′
1114:′
1103:−
1098:′
1083:′
956:−
893:′
857:−
794:′
647:′
634:−
629:′
618:⋅
613:∗
593:∗
576:′
563:−
558:′
547:⋅
542:∗
522:∗
449:−
371:≤
285:∗
184:lightness
85:lightness
3169:ISCC–NBS
3059:HSL, HSV
3044:Coloroid
3039:ColorADD
2967:Rec. 709
2962:Rec. 601
2893:Rec. 709
2883:Rec. 601
2868:ProPhoto
2825:CIECAM16
2820:CIECAM02
2772:CIECAM16
2757:CIECAM02
2685:Colorlab
2571:(2003).
2400:See also
2375:, where
2369:2 sin (Δ
2273:′
2246:′
2159:′
2143:′
2119:′
2103:′
1789:, where
764:= 0.4610
751:= 0.2009
691:are the
239:* ≤ 100
36:CIE 1976
18:CIELChuv
3189:Pantone
3184:Ostwald
3174:Munsell
3079:OSA-UCS
2642:Bibcode
2351:√
2210:of the
1812:is the
1799:is the
1732:gamut (
728:of the
261:*, and
194:in its
136:gamut (
59:, is a
3229:
3029:CcMmYK
2878:DCI-P3
2688:etc.).
2583:
2551:
2501:
2026:where
1801:chroma
1758:CIELCh
770:′ and
707:– and
200:CIELAB
57:CIELUV
34:, the
3213:]
3074:Oklab
3022:Other
3013:YCoCg
3008:xvYCC
2996:YPbPr
2984:ICtCp
2957:YCbCr
2938:SECAM
2933:YDbDr
2873:scRGB
2858:Adobe
2767:CAM16
2603:(PDF)
2328:* = 1
2032:polar
2028:atan2
1976:atan2
1848:hypot
1762:, or
1738:right
142:right
3199:list
3132:ANPA
3127:ACES
3084:PCCS
3034:CMYK
2950:NTSC
2913:Y′UV
2848:sRGB
2762:iCAM
2581:ISSN
2549:ISBN
2499:ISBN
2432:JOSA
2349:* =
2202:The
1803:and
1777:The
1734:left
1730:sRGB
1728:The
1527:>
1047:is:
736:and
681:and
478:>
235:0 ≤
148:and
138:left
134:sRGB
132:The
3194:RAL
3179:NCS
3159:HKS
3149:DIC
3109:TSL
3104:YJK
3099:HWB
3094:RYB
3064:HCL
3049:LMS
3001:MAC
2945:YIQ
2926:PAL
2921:YUV
2835:RGB
2782:CIE
2749:CAM
2658:hdl
2650:doi
2615:doi
2441:doi
2406:YUV
2373:/2)
2220:*,
2216:*,
1814:hue
1497:116
1035:to
1029:′,
1013:′,
740:C,
722:′,
697:′,
403:116
257:*,
176:*,
172:*,
46:*,
42:*,
30:In
3247::
3211:ja
3089:RG
2656:.
2648:.
2638:96
2636:.
2611:53
2609:.
2605:.
2579:.
2529:^
2507:.
2483:^
2476:21
2474:,
2437:30
2435:.
2396:.
2388:−
2381:=
2340:uv
2319:uv
2300:13
2224:*)
2091:13
1816::
1809:uv
1796:uv
1787:uv
1783:uv
1774:.
1760:uv
1639:20
1617:12
1493:16
1419:29
1327:13
1259:13
1192:12
1176:16
1122:12
1106:16
1041:,
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