
2359 DEC. 20, 21, 22 (SUN, MON, TUE)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
20 0 | 87 57.6 | 199 02.0 S21 08.7 | 268 48.1 N 2 50.5 | 270 07.7 N 2 11.9 | 301 21.8 N14 26.8
1 | 103 00.1 | 214 01.2 S21 09.3 | 283 49.5 N 2 50.1 | 285 10.0 N 2 11.8 | 316 24.3 N14 26.8
2 | 118 02.5 | 229 00.3 S21 09.8 | 298 51.0 N 2 49.7 | 300 12.3 N 2 11.8 | 331 26.8 N14 26.9
3 | 133 05.0 | 243 59.5 S21 10.4 | 313 52.5 N 2 49.4 | 315 14.5 N 2 11.7 | 346 29.4 N14 26.9
4 | 148 07.5 | 258 58.6 S21 10.9 | 328 53.9 N 2 49.0 | 330 16.8 N 2 11.6 | 1 31.9 N14 26.9
S 5 | 163 09.9 | 273 57.8 S21 11.4 | 343 55.4 N 2 48.6 | 345 19.1 N 2 11.6 | 16 34.4 N14 27.0
U
N 6 | 178 12.4 | 288 56.9 S21 12.0 | 358 56.8 N 2 48.2 | 0 21.4 N 2 11.5 | 31 36.9 N14 27.0
D 7 | 193 14.9 | 303 56.1 S21 12.5 | 13 58.3 N 2 47.8 | 15 23.7 N 2 11.4 | 46 39.5 N14 27.0
A 8 | 208 17.3 | 318 55.2 S21 13.0 | 28 59.8 N 2 47.4 | 30 26.0 N 2 11.4 | 61 42.0 N14 27.1
Y 9 | 223 19.8 | 333 54.4 S21 13.6 | 44 01.2 N 2 47.0 | 45 28.3 N 2 11.3 | 76 44.5 N14 27.1
10 | 238 22.2 | 348 53.5 S21 14.1 | 59 02.7 N 2 46.6 | 60 30.6 N 2 11.2 | 91 47.0 N14 27.1
11 | 253 24.7 | 3 52.7 S21 14.6 | 74 04.1 N 2 46.2 | 75 32.9 N 2 11.2 | 106 49.6 N14 27.1
12 | 268 27.2 | 18 51.8 S21 15.2 | 89 05.6 N 2 45.9 | 90 35.1 N 2 11.1 | 121 52.1 N14 27.2
13 | 283 29.6 | 33 51.0 S21 15.7 | 104 07.0 N 2 45.5 | 105 37.4 N 2 11.1 | 136 54.6 N14 27.2
14 | 298 32.1 | 48 50.1 S21 16.2 | 119 08.5 N 2 45.1 | 120 39.7 N 2 11.0 | 151 57.1 N14 27.2
15 | 313 34.6 | 63 49.2 S21 16.7 | 134 10.0 N 2 44.7 | 135 42.0 N 2 10.9 | 166 59.7 N14 27.3
16 | 328 37.0 | 78 48.4 S21 17.3 | 149 11.4 N 2 44.3 | 150 44.3 N 2 10.9 | 182 02.2 N14 27.3
17 | 343 39.5 | 93 47.5 S21 17.8 | 164 12.9 N 2 43.9 | 165 46.6 N 2 10.8 | 197 04.7 N14 27.3
18 | 358 42.0 | 108 46.7 S21 18.3 | 179 14.4 N 2 43.5 | 180 48.9 N 2 10.7 | 212 07.3 N14 27.3
19 | 13 44.4 | 123 45.8 S21 18.8 | 194 15.8 N 2 43.1 | 195 51.2 N 2 10.7 | 227 09.8 N14 27.4
20 | 28 46.9 | 138 44.9 S21 19.3 | 209 17.3 N 2 42.8 | 210 53.5 N 2 10.6 | 242 12.3 N14 27.4
21 | 43 49.3 | 153 44.1 S21 19.9 | 224 18.7 N 2 42.4 | 225 55.8 N 2 10.6 | 257 14.8 N14 27.4
22 | 58 51.8 | 168 43.2 S21 20.4 | 239 20.2 N 2 42.0 | 240 58.1 N 2 10.5 | 272 17.4 N14 27.5
23 | 73 54.3 | 183 42.4 S21 20.9 | 254 21.7 N 2 41.6 | 256 00.4 N 2 10.4 | 287 19.9 N14 27.5
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 88 56.7 | 198 41.5 S21 21.4 | 269 23.1 N 2 41.2 | 271 02.7 N 2 10.4 | 302 22.4 N14 27.5
1 | 103 59.2 | 213 40.7 S21 21.9 | 284 24.6 N 2 40.8 | 286 05.0 N 2 10.3 | 317 25.0 N14 27.6
2 | 119 01.7 | 228 39.8 S21 22.4 | 299 26.1 N 2 40.4 | 301 07.3 N 2 10.2 | 332 27.5 N14 27.6
3 | 134 04.1 | 243 38.9 S21 22.9 | 314 27.5 N 2 40.1 | 316 09.5 N 2 10.2 | 347 30.0 N14 27.6
4 | 149 06.6 | 258 38.1 S21 23.5 | 329 29.0 N 2 39.7 | 331 11.8 N 2 10.1 | 2 32.5 N14 27.7
M 5 | 164 09.1 | 273 37.2 S21 24.0 | 344 30.5 N 2 39.3 | 346 14.1 N 2 10.1 | 17 35.1 N14 27.7
O
N 6 | 179 11.5 | 288 36.3 S21 24.5 | 359 31.9 N 2 38.9 | 1 16.4 N 2 10.0 | 32 37.6 N14 27.7
D 7 | 194 14.0 | 303 35.5 S21 25.0 | 14 33.4 N 2 38.5 | 16 18.7 N 2 09.9 | 47 40.1 N14 27.7
A 8 | 209 16.5 | 318 34.6 S21 25.5 | 29 34.9 N 2 38.1 | 31 21.0 N 2 09.9 | 62 42.7 N14 27.8
Y 9 | 224 18.9 | 333 33.7 S21 26.0 | 44 36.3 N 2 37.8 | 46 23.3 N 2 09.8 | 77 45.2 N14 27.8
10 | 239 21.4 | 348 32.9 S21 26.5 | 59 37.8 N 2 37.4 | 61 25.6 N 2 09.8 | 92 47.7 N14 27.8
11 | 254 23.8 | 3 32.0 S21 27.0 | 74 39.3 N 2 37.0 | 76 27.9 N 2 09.7 | 107 50.3 N14 27.9
12 | 269 26.3 | 18 31.2 S21 27.5 | 89 40.8 N 2 36.6 | 91 30.2 N 2 09.6 | 122 52.8 N14 27.9
13 | 284 28.8 | 33 30.3 S21 28.0 | 104 42.2 N 2 36.2 | 106 32.5 N 2 09.6 | 137 55.3 N14 27.9
14 | 299 31.2 | 48 29.4 S21 28.5 | 119 43.7 N 2 35.8 | 121 34.8 N 2 09.5 | 152 57.9 N14 28.0
15 | 314 33.7 | 63 28.6 S21 29.0 | 134 45.2 N 2 35.5 | 136 37.1 N 2 09.5 | 168 00.4 N14 28.0
16 | 329 36.2 | 78 27.7 S21 29.5 | 149 46.6 N 2 35.1 | 151 39.4 N 2 09.4 | 183 02.9 N14 28.0
17 | 344 38.6 | 93 26.8 S21 30.0 | 164 48.1 N 2 34.7 | 166 41.7 N 2 09.3 | 198 05.5 N14 28.1
18 | 359 41.1 | 108 26.0 S21 30.5 | 179 49.6 N 2 34.3 | 181 44.0 N 2 09.3 | 213 08.0 N14 28.1
19 | 14 43.6 | 123 25.1 S21 31.0 | 194 51.1 N 2 33.9 | 196 46.3 N 2 09.2 | 228 10.5 N14 28.1
20 | 29 46.0 | 138 24.2 S21 31.5 | 209 52.5 N 2 33.5 | 211 48.6 N 2 09.2 | 243 13.0 N14 28.2
21 | 44 48.5 | 153 23.3 S21 32.0 | 224 54.0 N 2 33.2 | 226 50.9 N 2 09.1 | 258 15.6 N14 28.2
22 | 59 51.0 | 168 22.5 S21 32.5 | 239 55.5 N 2 32.8 | 241 53.2 N 2 09.0 | 273 18.1 N14 28.2
23 | 74 53.4 | 183 21.6 S21 33.0 | 254 57.0 N 2 32.4 | 256 55.5 N 2 09.0 | 288 20.6 N14 28.3
------+----------+-------------------+-------------------+-------------------+--------------------
22 0 | 89 55.9 | 198 20.7 S21 33.4 | 269 58.4 N 2 32.0 | 271 57.8 N 2 08.9 | 303 23.2 N14 28.3
1 | 104 58.3 | 213 19.9 S21 33.9 | 284 59.9 N 2 31.6 | 287 00.1 N 2 08.9 | 318 25.7 N14 28.3
2 | 120 00.8 | 228 19.0 S21 34.4 | 300 01.4 N 2 31.3 | 302 02.4 N 2 08.8 | 333 28.3 N14 28.3
3 | 135 03.3 | 243 18.1 S21 34.9 | 315 02.9 N 2 30.9 | 317 04.7 N 2 08.8 | 348 30.8 N14 28.4
4 | 150 05.7 | 258 17.3 S21 35.4 | 330 04.3 N 2 30.5 | 332 07.0 N 2 08.7 | 3 33.3 N14 28.4
T 5 | 165 08.2 | 273 16.4 S21 35.9 | 345 05.8 N 2 30.1 | 347 09.3 N 2 08.6 | 18 35.9 N14 28.4
U
E 6 | 180 10.7 | 288 15.5 S21 36.4 | 0 07.3 N 2 29.7 | 2 11.6 N 2 08.6 | 33 38.4 N14 28.5
S 7 | 195 13.1 | 303 14.6 S21 36.8 | 15 08.8 N 2 29.4 | 17 13.9 N 2 08.5 | 48 40.9 N14 28.5
D 8 | 210 15.6 | 318 13.8 S21 37.3 | 30 10.2 N 2 29.0 | 32 16.2 N 2 08.5 | 63 43.5 N14 28.5
A 9 | 225 18.1 | 333 12.9 S21 37.8 | 45 11.7 N 2 28.6 | 47 18.5 N 2 08.4 | 78 46.0 N14 28.6
Y 10 | 240 20.5 | 348 12.0 S21 38.3 | 60 13.2 N 2 28.2 | 62 20.8 N 2 08.3 | 93 48.5 N14 28.6
11 | 255 23.0 | 3 11.1 S21 38.7 | 75 14.7 N 2 27.8 | 77 23.1 N 2 08.3 | 108 51.1 N14 28.6
12 | 270 25.5 | 18 10.3 S21 39.2 | 90 16.2 N 2 27.5 | 92 25.4 N 2 08.2 | 123 53.6 N14 28.7
13 | 285 27.9 | 33 09.4 S21 39.7 | 105 17.6 N 2 27.1 | 107 27.7 N 2 08.2 | 138 56.1 N14 28.7
14 | 300 30.4 | 48 08.5 S21 40.2 | 120 19.1 N 2 26.7 | 122 30.0 N 2 08.1 | 153 58.7 N14 28.7
15 | 315 32.8 | 63 07.6 S21 40.6 | 135 20.6 N 2 26.3 | 137 32.4 N 2 08.1 | 169 01.2 N14 28.8
16 | 330 35.3 | 78 06.8 S21 41.1 | 150 22.1 N 2 25.9 | 152 34.7 N 2 08.0 | 184 03.7 N14 28.8
17 | 345 37.8 | 93 05.9 S21 41.6 | 165 23.6 N 2 25.6 | 167 37.0 N 2 07.9 | 199 06.3 N14 28.8
18 | 0 40.2 | 108 05.0 S21 42.1 | 180 25.1 N 2 25.2 | 182 39.3 N 2 07.9 | 214 08.8 N14 28.9
19 | 15 42.7 | 123 04.1 S21 42.5 | 195 26.5 N 2 24.8 | 197 41.6 N 2 07.8 | 229 11.4 N14 28.9
20 | 30 45.2 | 138 03.3 S21 43.0 | 210 28.0 N 2 24.4 | 212 43.9 N 2 07.8 | 244 13.9 N14 28.9
21 | 45 47.6 | 153 02.4 S21 43.5 | 225 29.5 N 2 24.1 | 227 46.2 N 2 07.7 | 259 16.4 N14 29.0
22 | 60 50.1 | 168 01.5 S21 43.9 | 240 31.0 N 2 23.7 | 242 48.5 N 2 07.7 | 274 19.0 N14 29.0
23 | 75 52.6 | 183 00.6 S21 44.4 | 255 32.5 N 2 23.3 | 257 50.8 N 2 07.6 | 289 21.5 N14 29.0
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| v -0.9 d 0.5 | v 1.5 d 0.4 | v 2.3 d 0.1 | v 2.5 d 0.0
2359 DEC. 20, 21, 22 (SUN, MON, TUE)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
20 0 | 180 55.8 S23 22.0 | 196 37.8 4.7 S27 01.7 5.6 58.7 | Acamar 312 00.2 S38 52.6
1 | 195 55.5 S23 22.1 | 211 01.4 4.6 S27 07.1 5.4 58.8 | Achernar 332 12.5 S55 25.3
2 | 210 55.2 S23 22.1 | 225 25.0 4.5 S27 12.4 5.2 58.8 | Acrux 168 17.5 S65 05.0
3 | 225 54.9 S23 22.2 | 239 48.4 4.4 S27 17.4 5.1 58.8 | Adhara 251 47.2 S29 28.4
4 | 240 54.6 S23 22.2 | 254 11.7 4.3 S27 22.3 4.9 58.9 | Albireo 63 41.0 N28 43.6
S 5 | 255 54.3 S23 22.3 | 268 34.9 4.2 S27 27.0 4.7 58.9 |
U | | | Aldebaran 285 50.0 N17 12.8
N 6 | 270 54.0 S23 22.3 | 282 58.0 4.1 S27 31.6 4.5 58.9 | Alioth 162 32.3 N54 00.5
D 7 | 285 53.7 S23 22.4 | 297 21.0 4.0 S27 35.9 4.3 58.9 | Alkaid 149 33.9 N47 31.3
A 8 | 300 53.4 S23 22.4 | 311 44.0 3.9 S27 40.1 4.2 59.0 | Al Na-ir 22 17.6 S45 12.9
Y 9 | 315 53.1 S23 22.5 | 326 06.8 3.8 S27 44.1 4.0 59.0 | Alnilam 271 21.6 S 0 59.4
10 | 330 52.8 S23 22.5 | 340 29.6 3.8 S27 47.9 3.8 59.0 |
11 | 345 52.4 S23 22.5 | 354 52.3 3.7 S27 51.5 3.6 59.0 | Alphard 213 40.0 S10 13.6
| | | Alphecca 122 30.5 N25 30.9
12 | 0 52.1 S23 22.6 | 9 14.9 3.6 S27 54.9 3.4 59.1 | Alpheratz 353 13.7 N31 04.6
13 | 15 51.8 S23 22.6 | 23 37.4 3.5 S27 58.1 3.2 59.1 | Altair 57 54.6 N 9 50.0
14 | 30 51.5 S23 22.7 | 37 59.8 3.4 S28 01.2 3.0 59.1 | Ankaa 348 58.9 S40 21.7
15 | 45 51.2 S23 22.7 | 52 22.2 3.4 S28 04.0 2.9 59.2 |
16 | 60 50.9 S23 22.7 | 66 44.5 3.3 S28 06.7 2.7 59.2 | Antares 107 07.0 S27 12.6
17 | 75 50.6 S23 22.8 | 81 06.7 3.2 S28 09.2 2.5 59.2 | Arcturus 141 58.2 N17 19.1
| | | Atria 98 15.8 S69 39.0
18 | 90 50.3 S23 22.8 | 95 28.9 3.2 S28 11.4 2.3 59.2 | Avior 232 30.5 S60 40.1
19 | 105 50.0 S23 22.9 | 109 51.0 3.1 S28 13.5 2.1 59.3 | Bellatrix 273 52.3 N 6 39.4
20 | 120 49.7 S23 22.9 | 124 13.1 3.0 S28 15.4 1.9 59.3 |
21 | 135 49.4 S23 22.9 | 138 35.1 3.0 S28 17.1 1.7 59.3 | Betelgeuse 266 19.0 N 7 27.3
22 | 150 49.1 S23 23.0 | 152 57.0 2.9 S28 18.6 1.5 59.3 | Canopus 261 59.3 S52 53.9
23 | 165 48.8 S23 23.0 | 167 18.9 2.9 S28 19.8 1.3 59.4 | Capella 274 09.2 N46 20.3
------+-------------------+----------------------------------| Castor 240 36.0 N31 04.8
21 0 | 180 48.5 S23 23.0 | 181 40.7 2.8 S28 20.9 1.1 59.4 | Deneb 46 34.0 N46 34.5
1 | 195 48.2 S23 23.1 | 196 02.5 2.8 S28 21.8 0.9 59.4 |
2 | 210 47.9 S23 23.1 | 210 24.3 2.8 S28 22.5 0.7 59.4 | Denebola 178 08.3 N12 33.6
3 | 225 47.6 S23 23.1 | 224 46.0 2.7 S28 23.0 0.5 59.4 | Diphda 344 34.6 S16 01.1
4 | 240 47.2 S23 23.2 | 239 07.7 2.7 S28 23.3 0.3 59.5 | Dubhe 188 33.1 N59 48.0
M 5 | 255 46.9 S23 23.2 | 253 29.3 2.6 S28 23.3 0.1 59.5 | Elnath 272 43.1 N28 53.3
O | | | Eltanin 88 45.1 N51 27.2
N 6 | 270 46.6 S23 23.2 | 267 50.9 2.6 S28 23.2 0.1 59.5 |
D 7 | 285 46.3 S23 23.2 | 282 12.5 2.6 S28 22.9 0.3 59.5 | Enif 29 31.5 N11 32.0
A 8 | 300 46.0 S23 23.3 | 296 34.1 2.6 S28 22.3 0.5 59.6 | Fomalhaut 10 37.2 S27 42.9
Y 9 | 315 45.7 S23 23.3 | 310 55.7 2.5 S28 21.6 0.7 59.6 | Gacrux 167 10.4 S59 07.1
10 | 330 45.4 S23 23.3 | 325 17.2 2.5 S28 20.7 0.9 59.6 | Gienah 171 24.1 S19 32.0
11 | 345 45.1 S23 23.3 | 339 38.7 2.5 S28 19.5 1.1 59.6 | Hadar 142 38.2 S62 05.4
| | |
12 | 0 44.8 S23 23.4 | 354 00.2 2.5 S28 18.2 1.4 59.6 | Hamal 323 06.4 N25 09.2
13 | 15 44.5 S23 23.4 | 8 21.7 2.5 S28 16.6 1.6 59.7 | Kaus Austr. 77 59.1 S34 11.6
14 | 30 44.2 S23 23.4 | 22 43.2 2.5 S28 14.8 1.8 59.7 | Kochab 137 30.4 N72 40.8
15 | 45 43.9 S23 23.4 | 37 04.7 2.5 S28 12.9 2.0 59.7 | Markab 9 18.8 N17 08.6
16 | 60 43.6 S23 23.5 | 51 26.2 2.5 S28 10.7 2.2 59.7 | Menkar 309 42.2 N 5 29.2
17 | 75 43.3 S23 23.5 | 65 47.7 2.5 S28 08.3 2.4 59.7 |
| | | Menkent 143 00.4 S38 07.5
18 | 90 43.0 S23 23.5 | 80 09.2 2.5 S28 05.7 2.6 59.7 | Miaplacidus 220 42.8 S71 11.7
19 | 105 42.6 S23 23.5 | 94 30.8 2.5 S28 02.9 2.8 59.8 | Mirfak 302 26.8 N51 07.4
20 | 120 42.3 S23 23.5 | 108 52.3 2.5 S27 60.0 3.0 59.8 | Nunki 70 36.3 S25 49.8
21 | 135 42.0 S23 23.5 | 123 13.9 2.6 S27 56.8 3.2 59.8 | Peacock 46 30.5 S55 33.9
22 | 150 41.7 S23 23.6 | 137 35.4 2.6 S27 53.4 3.4 59.8 |
23 | 165 41.4 S23 23.6 | 151 57.0 2.6 S27 49.8 3.6 59.8 | Polaris 231 30.0 N90 52.2
------+-------------------+----------------------------------| Pollux 238 09.5 N27 08.3
22 0 | 180 41.1 S23 23.6 | 166 18.7 2.6 S27 46.0 3.8 59.8 | Procyon 240 27.1 N 4 17.2
1 | 195 40.8 S23 23.6 | 180 40.3 2.7 S27 41.9 4.0 59.9 | Rasalhague 92 04.9 N12 18.9
2 | 210 40.5 S23 23.6 | 195 02.0 2.7 S27 37.7 4.2 59.9 | Regulus 203 06.5 N10 12.1
3 | 225 40.2 S23 23.6 | 209 23.7 2.7 S27 33.3 4.4 59.9 |
4 | 240 39.9 S23 23.6 | 223 45.5 2.8 S27 28.7 4.6 59.9 | Rigel 277 01.2 S 7 48.2
T 5 | 255 39.6 S23 23.6 | 238 07.3 2.8 S27 23.9 4.8 59.9 | Rigil Kent 133 56.4 S62 18.1
U | | | Sabik 97 14.2 S16 09.0
E 6 | 270 39.3 S23 23.7 | 252 29.2 2.8 S27 18.9 5.0 59.9 | Schedar 344 42.9 N58 30.6
S 7 | 285 39.0 S23 23.7 | 266 51.1 2.9 S27 13.7 5.2 59.9 | Shaula 90 28.8 S37 20.6
D 8 | 300 38.7 S23 23.7 | 281 13.0 2.9 S27 08.3 5.4 59.9 |
A 9 | 315 38.4 S23 23.7 | 295 35.0 3.0 S27 02.7 5.6 60.0 | Sirius 254 43.9 S17 13.4
Y 10 | 330 38.0 S23 23.7 | 309 57.0 3.1 S26 56.9 5.8 60.0 | Spica 153 56.6 S13 01.8
11 | 345 37.7 S23 23.7 | 324 19.2 3.1 S26 50.9 6.0 60.0 | Suhail 219 40.2 S44 53.3
| | | Vega 77 42.7 N39 07.8
12 | 0 37.4 S23 23.7 | 338 41.3 3.2 S26 44.7 6.2 60.0 | Zuben-ubi 132 26.2 S17 31.3
13 | 15 37.1 S23 23.7 | 353 03.6 3.2 S26 38.4 6.4 60.0 |
14 | 30 36.8 S23 23.7 | 7 25.9 3.3 S26 31.8 6.6 60.0 |
15 | 45 36.5 S23 23.7 | 21 48.2 3.4 S26 25.0 6.8 60.0 |
16 | 60 36.2 S23 23.7 | 36 10.6 3.4 S26 18.1 6.9 60.0 |
17 | 75 35.9 S23 23.7 | 50 33.1 3.5 S26 11.0 7.1 60.0 |
| | |
18 | 90 35.6 S23 23.7 | 64 55.7 3.6 S26 03.7 7.3 60.0 |
19 | 105 35.3 S23 23.7 | 79 18.4 3.7 S25 56.2 7.5 60.1 |
20 | 120 35.0 S23 23.7 | 93 41.1 3.7 S25 48.5 7.7 60.1 |
21 | 135 34.7 S23 23.7 | 108 03.9 3.8 S25 40.6 7.9 60.1 |
22 | 150 34.4 S23 23.7 | 122 26.8 3.9 S25 32.6 8.0 60.1 |
23 | 165 34.0 S23 23.7 | 136 49.8 4.0 S25 24.3 8.2 60.1 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 16.1 16.2 16.3 |
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