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[sbcl.git] / tests / gcd.pure.lisp
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1 ;;;; tests of GCD with no side effects
3 ;;;; This software is part of the SBCL system. See the README file for
4 ;;;; more information.
5 ;;;;
6 ;;;; While most of SBCL is derived from the CMU CL system, the test
7 ;;;; files (like this one) were written from scratch after the fork
8 ;;;; from CMU CL.
9 ;;;;
10 ;;;; This software is in the public domain and is provided with
11 ;;;; absolutely no warranty. See the COPYING and CREDITS files for
12 ;;;; more information.
14 (cl:in-package :cl-user)
16 ;;; note: the below were generated automatically from the following
17 ;;; program:
18 #+nil
19 (progn
20 (defun random-factor (n)
21 (let ((accum 1))
22 (dotimes (i n accum)
23 (setf accum (* accum (nth (random 20)
24 '(2 2 2 3 3
25 5 7 11 13 17
26 19 23 29 31 37
27 41 43 47 53 59)))))))
29 (with-open-file (s "tests/gcd.impure.lisp"
30 :direction :output :if-exists :supersede)
31 (dotimes (i 40)
32 (dotimes (j (ceiling i 2))
33 (let ((x (random-factor i))
34 (y (random-factor j)))
35 (format s "~&~S~%" `(assert (= (gcd ,x ,y) ,(gcd x y)))))))))
36 ;;; run from a different lisp implementation. As such, if you get a
37 ;;; failure, check (by hand!) who is right. -- CSR, 2004-08-10
39 (ASSERT (= (GCD 3 1) 1))
40 (ASSERT (= (GCD 9 1) 1))
41 (ASSERT (= (GCD 1353 1) 1))
42 (ASSERT (= (GCD 2755 13) 1))
43 (ASSERT (= (GCD 3146 1) 1))
44 (ASSERT (= (GCD 56 2) 2))
45 (ASSERT (= (GCD 223706 1) 1))
46 (ASSERT (= (GCD 148665 2) 1))
47 (ASSERT (= (GCD 71862 203) 203))
48 (ASSERT (= (GCD 14464263 1) 1))
49 (ASSERT (= (GCD 21568911 41) 41))
50 (ASSERT (= (GCD 15295874 111) 37))
51 (ASSERT (= (GCD 167524732 1) 1))
52 (ASSERT (= (GCD 20430054 41) 41))
53 (ASSERT (= (GCD 248255254 767) 13))
54 (ASSERT (= (GCD 510104442 5453) 1))
55 (ASSERT (= (GCD 100809345 1) 1))
56 (ASSERT (= (GCD 242162410 41) 1))
57 (ASSERT (= (GCD 660070972 74) 74))
58 (ASSERT (= (GCD 6542405452 117) 1))
59 (ASSERT (= (GCD 4641925173847 1) 1))
60 (ASSERT (= (GCD 629448534 2) 2))
61 (ASSERT (= (GCD 163873565922 155) 31))
62 (ASSERT (= (GCD 1563464979842 442) 34))
63 (ASSERT (= (GCD 3712337724 576173) 23))
64 (ASSERT (= (GCD 4429248 1) 1))
65 (ASSERT (= (GCD 4380921044390 5) 5))
66 (ASSERT (= (GCD 4097970629150 86) 2))
67 (ASSERT (= (GCD 2090198664 1118) 2))
68 (ASSERT (= (GCD 5275411661289 31857) 21))
69 (ASSERT (= (GCD 17015415976168 1) 1))
70 (ASSERT (= (GCD 38602581835881 19) 1))
71 (ASSERT (= (GCD 82578867500655 319) 29))
72 (ASSERT (= (GCD 363169800 20) 20))
73 (ASSERT (= (GCD 2033404107084 23374) 2))
74 (ASSERT (= (GCD 7438317458260 31213) 13))
75 (ASSERT (= (GCD 20223947479736 1) 1))
76 (ASSERT (= (GCD 390609000 11) 1))
77 (ASSERT (= (GCD 406117800 57) 3))
78 (ASSERT (= (GCD 1008217762344 4403) 37))
79 (ASSERT (= (GCD 136581511784536 67022) 62))
80 (ASSERT (= (GCD 43293168048 1344610) 2))
81 (ASSERT (= (GCD 154378910321790 1) 1))
82 (ASSERT (= (GCD 608503422693864 47) 47))
83 (ASSERT (= (GCD 6945109296864 779) 19))
84 (ASSERT (= (GCD 1346702251365156 435) 87))
85 (ASSERT (= (GCD 1388225063690465 644) 7))
86 (ASSERT (= (GCD 1200780158492850 91686) 354))
87 (ASSERT (= (GCD 1551193257090906 2656731) 1749))
88 (ASSERT (= (GCD 2453369841000 1) 1))
89 (ASSERT (= (GCD 386512944051107445 17) 17))
90 (ASSERT (= (GCD 1111364125679340 6) 6))
91 (ASSERT (= (GCD 15858537083857314 21793) 21793))
92 (ASSERT (= (GCD 44179338013272 280645) 41))
93 (ASSERT (= (GCD 64149298745840 43808357) 35131))
94 (ASSERT (= (GCD 4412914630225794 515823) 46893))
95 (ASSERT (= (GCD 7518817068019302045 1) 1))
96 (ASSERT (= (GCD 169216424701305960 17) 1))
97 (ASSERT (= (GCD 178335507754891305 817) 817))
98 (ASSERT (= (GCD 460683358924445799142 518) 518))
99 (ASSERT (= (GCD 113021475230160 74635) 6785))
100 (ASSERT (= (GCD 74228340534140364 363909) 1677))
101 (ASSERT (= (GCD 69242022961311060 48305942) 60458))
102 (ASSERT (= (GCD 286967952870300 2273388) 156))
103 (ASSERT (= (GCD 10593379420837191160 1) 1))
104 (ASSERT (= (GCD 302822258393413362492399 29) 29))
105 (ASSERT (= (GCD 10491072879382200 133) 133))
106 (ASSERT (= (GCD 167206737423420464 609) 7))
107 (ASSERT (= (GCD 72212583812867784 4888799) 47))
108 (ASSERT (= (GCD 4170116471639397292390 1798025) 359605))
109 (ASSERT (= (GCD 83910330283522050 35224) 238))
110 (ASSERT (= (GCD 275373383775647594346 66884092) 104834))
111 (ASSERT (= (GCD 24798951106800092040 1) 1))
112 (ASSERT (= (GCD 14656657495570695990 37) 1))
113 (ASSERT (= (GCD 95470974177676509874110 1219) 1219))
114 (ASSERT (= (GCD 619506317623001424 5957) 7))
115 (ASSERT (= (GCD 11268171656665155960 9858) 186))
116 (ASSERT (= (GCD 6172860073826160 5167394) 3074))
117 (ASSERT (= (GCD 26457493095663264 1491412) 3956))
118 (ASSERT (= (GCD 8481384175941103284 313836405) 51))
119 (ASSERT (= (GCD 60356595775749199080 176098815946) 1716346))
120 (ASSERT (= (GCD 2062895192248935732930 1) 1))
121 (ASSERT (= (GCD 611492274956002440 37) 37))
122 (ASSERT (= (GCD 164614611843685080 1711) 59))
123 (ASSERT (= (GCD 93177516542679418720 62197) 37))
124 (ASSERT (= (GCD 938959746797519770440 127558) 127558))
125 (ASSERT (= (GCD 137670522526899326250 200) 50))
126 (ASSERT (= (GCD 852063402206742880 41643478) 58406))
127 (ASSERT (= (GCD 55947291202307909360 188546228) 6364))
128 (ASSERT (= (GCD 12877971214039423262680 9832253830) 121730))
129 (ASSERT (= (GCD 2217480094627700577948 1) 1))
130 (ASSERT (= (GCD 192158415774146059920 53) 53))
131 (ASSERT (= (GCD 902814024155808960 1829) 31))
132 (ASSERT (= (GCD 1265864304573235487120 4921) 259))
133 (ASSERT (= (GCD 14172662463567665400 95817) 57))
134 (ASSERT (= (GCD 32171996211745702482324 2368555) 259))
135 (ASSERT (= (GCD 971324258606045826300 4576748) 236))
136 (ASSERT (= (GCD 2400649320046378377000 1704690) 930))
137 (ASSERT (= (GCD 953233796456393760 18342152493) 574287))
138 (ASSERT (= (GCD 28906333140964843080 236206740) 823020))
139 (ASSERT (= (GCD 19478907070569571633008 1) 1))
140 (ASSERT (= (GCD 775403093708557121609032 41) 41))
141 (ASSERT (= (GCD 12587009808135760402860 2491) 47))
142 (ASSERT (= (GCD 510685807527370566909720 76) 4))
143 (ASSERT (= (GCD 9842598153710524682146590 10089) 3363))
144 (ASSERT (= (GCD 44936631038618189620242012 30740) 6148))
145 (ASSERT (= (GCD 934589372977008750144 373650) 282))
146 (ASSERT (= (GCD 33027125273398900134069150 840577803) 840577803))
147 (ASSERT (= (GCD 4428219127938822420288 1695783782) 12502))
148 (ASSERT (= (GCD 29316428815807608915440 560764380) 153340))
149 (ASSERT (= (GCD 2366157559867828791011766 1) 1))
150 (ASSERT (= (GCD 1364397376360544429904 19) 19))
151 (ASSERT (= (GCD 4991450791697293128313385277 329) 7))
152 (ASSERT (= (GCD 75448279792981695149550 3009) 3))
153 (ASSERT (= (GCD 181031604499464166188731133 3364) 1))
154 (ASSERT (= (GCD 405831142402606479845286 2746214) 161542))
155 (ASSERT (= (GCD 89170366469003867207160 25337230) 11470))
156 (ASSERT (= (GCD 13523725766340619200 1490114045) 28595))
157 (ASSERT (= (GCD 104705939487154940255412 192200052) 26196))
158 (ASSERT (= (GCD 7232591421499800642000 16584679460) 7820))
159 (ASSERT (= (GCD 14043796716396386984750160 33382708236) 358953852))
160 (ASSERT (= (GCD 11835771070979649489696 1) 1))
161 (ASSERT (= (GCD 13894638105872256412416 23) 23))
162 (ASSERT (= (GCD 147611447155643499428400 118) 2))
163 (ASSERT (= (GCD 13356594697070649024 4558) 106))
164 (ASSERT (= (GCD 15089731174706036171537760 90) 30))
165 (ASSERT (= (GCD 307230141273924828960 1971507) 1581))
166 (ASSERT (= (GCD 2582563944548247741930009096 22873474) 1759498))
167 (ASSERT (= (GCD 1074296602920111687342072 146235518) 21758))
168 (ASSERT (= (GCD 774058642832724262993980 407557010) 2531410))
169 (ASSERT (= (GCD 291091930213008490369569480 13412544348) 26508))
170 (ASSERT (= (GCD 2089068565149831833568 7302038455228) 68171356))
171 (ASSERT (= (GCD 15874791883700662031579460 1) 1))
172 (ASSERT (= (GCD 1064437567441124038217970656 5) 1))
173 (ASSERT (= (GCD 142557826750459447787460 1333) 31))
174 (ASSERT (= (GCD 311779340580033594160200 23693) 23693))
175 (ASSERT (= (GCD 29314187023691666530559664 110143) 110143))
176 (ASSERT (= (GCD 222003853016244177637944900 857463) 857463))
177 (ASSERT (= (GCD 6247776111945111006243552 77976501) 2515371))
178 (ASSERT (= (GCD 1140058514761397155259712 5530338) 502758))
179 (ASSERT (= (GCD 580962736822969724865449808 55686036) 1505028))
180 (ASSERT (= (GCD 4100502596989506786787500 45333475410) 563730))
181 (ASSERT (= (GCD 1497378750311599979536944 262630276090) 361046))
182 (ASSERT (= (GCD 105637634198318524045536 2633013240) 150072))
183 (ASSERT (= (GCD 70489308475051480717893899280 1) 1))
184 (ASSERT (= (GCD 11415822547029425161364106595632 7) 1))
185 (ASSERT (= (GCD 198305933339312916107438448 177) 3))
186 (ASSERT (= (GCD 3127415425979879537134790928 3335) 667))
187 (ASSERT (= (GCD 589703503861221139260034914750 13209) 357))
188 (ASSERT (= (GCD 3108579252052448504121792 14322) 462))
189 (ASSERT (= (GCD 636976201153021006473464400 66264077) 3487583))
190 (ASSERT (= (GCD 9544425315508129998909285900 1488396) 212628))
191 (ASSERT (= (GCD 458100280193857502802977376 260747103934) 6212554))
192 (ASSERT (= (GCD 114208186302155358124900650 22076867505) 6342105))
193 (ASSERT (= (GCD 90107067439719108194114160 28566806069714) 3408519994))
194 (ASSERT (= (GCD 2976572787365723002218245484 110104803958578) 2966904798))
195 (ASSERT (= (GCD 981298276658071427286000 1) 1))
196 (ASSERT (= (GCD 53453375725613238735360 17) 1))
197 (ASSERT (= (GCD 888822833524306124874229800 106) 106))
198 (ASSERT (= (GCD 21275338550698297089687698855820 3021) 3021))
199 (ASSERT (= (GCD 417525245705449941528380320750068 5828) 5828))
200 (ASSERT (= (GCD 1954871230146370370001829871352 22765249) 22765249))
201 (ASSERT (= (GCD 903057827710908645847577520 648545995) 520085))
202 (ASSERT (= (GCD 6002846634833433581621040 28493572159) 27869))
203 (ASSERT (= (GCD 26428903214964558277189300080 100428856) 3463064))
204 (ASSERT (= (GCD 470486531607553676511206181180 28495896) 2964))
205 (ASSERT (= (GCD 483599554429365539310928369206620 5577334078910) 105232718470))
206 (ASSERT (= (GCD 134511400157705323668887400 1285071093558916) 340069628))
207 (ASSERT (= (GCD 25897125642468049125349982599216 1183846707540) 26307704612))
208 (ASSERT (= (GCD 291543186498072665182448708000 1) 1))
209 (ASSERT (= (GCD 1118034209930460291955200 3) 3))
210 (ASSERT (= (GCD 16297594064835666104344589410644 413) 413))
211 (ASSERT (= (GCD 536762539932642345554192060100 1378) 1378))
212 (ASSERT (= (GCD 933250179448203335817687635834340 58029) 69))
213 (ASSERT (= (GCD 65573457048202714607131200 486115) 3655))
214 (ASSERT (= (GCD 85664559165674439863772868932 322014) 322014))
215 (ASSERT (= (GCD 7232817686074320060728552759760 11307940) 11307940))
216 (ASSERT (= (GCD 78400098291720425971762131120 5646921093) 5646921093))
217 (ASSERT (= (GCD 345445746644065669842240 19727989065) 2193705))
218 (ASSERT (= (GCD 627854758484491743169777558200 750371721805653) 156322329))
219 (ASSERT (= (GCD 788233263079483492974876830792850 7170146100) 5867550))
220 (ASSERT (= (GCD 18378856389802641496737518160 6247594493140) 824329660))
221 (ASSERT (= (GCD 24537811627839727524106800 1) 1))
222 (ASSERT (= (GCD 9620902642431357480148667659080 59) 59))
223 (ASSERT (= (GCD 16008524600631853118144316000 629) 1))
224 (ASSERT (= (GCD 4342138447708715023205684275423920 53041) 1711))
225 (ASSERT (= (GCD 2431833161592653384508687244500 47541) 47541))
226 (ASSERT (= (GCD 39424620224103957589082132160 1671734) 1671734))
227 (ASSERT (= (GCD 652830233576052788654372406432 552231327) 12842589))
228 (ASSERT (= (GCD 6892963340916411083970414000 3662431431) 77924073))
229 (ASSERT (= (GCD 29102758215190063506219566460000 10565720) 10565720))
230 (ASSERT (= (GCD 21253900104556838003127171970777418412 1182797770) 62698))
231 (ASSERT
232 (= (GCD 3964268932242030284914943132662620 21244177854110) 18521515130))
233 (ASSERT (= (GCD 6070388091189460078138338240 40809131994181213) 274113073169))
234 (ASSERT (= (GCD 9685989954133695108793384134000 964113514382876) 169529367748))
235 (ASSERT
236 (= (GCD 56468122001858834917195045500 429400787158167902) 2090772606538))
237 (ASSERT (= (GCD 329308642462818241932463312443600 1) 1))
238 (ASSERT (= (GCD 18843408973202596901221568364900 47) 47))
239 (ASSERT (= (GCD 7800980538292163259967028613764250 6) 6))
240 (ASSERT (= (GCD 270433907726619219545089642715200 3422) 58))
241 (ASSERT (= (GCD 45771666919597903071546708768 2342359) 2183))
242 (ASSERT (= (GCD 47198294949461301503537593835384892 314502) 5934))
243 (ASSERT (= (GCD 3165335901519110207943908102359110 14953473) 207))
244 (ASSERT (= (GCD 189219585097956261544520863361400 35605794) 35605794))
245 (ASSERT (= (GCD 38532137569034426600955256933810890813 1341358608707) 6436369))
246 (ASSERT (= (GCD 1396277868664090735481380981225896 312520860) 62504172))
247 (ASSERT (= (GCD 864038349500762576564773759109700 714136202724) 16607818668))
248 (ASSERT (= (GCD 12514185871591242579049167322464 10706997440178) 200614518))
249 (ASSERT (= (GCD 1981802660405609330969478067056636 33312289752) 14779188))
250 (ASSERT (= (GCD 979313401024175219420658240 125278417383795) 1551032145))
251 (ASSERT (= (GCD 1051433196834071287164549263315400 1) 1))
252 (ASSERT (= (GCD 4074026154111369481048033354344 29) 29))
253 (ASSERT (= (GCD 599666571180604695702511920885005100 129) 129))
254 (ASSERT (= (GCD 5703263639326551702474610108800 1978) 1978))
255 (ASSERT (= (GCD 134137932950214683609064669163440 190619) 143))
256 (ASSERT (= (GCD 344735091370772631136645455600 1048985) 1048985))
257 (ASSERT (= (GCD 6759508339299085316106145385400 4969610) 160310))
258 (ASSERT (= (GCD 700334422308861928135313594400 228529587) 432003))
259 (ASSERT (= (GCD 10277417891211405957191810814198480 2516552038) 228777458))
260 (ASSERT (= (GCD 490099971577877358878082782880 9282588354) 17547426))
261 (ASSERT (= (GCD 1954558750269048828645390249600 5575829490) 327989970))
262 (ASSERT (= (GCD 1360588454560018295496656378989200 7868178296420) 14873682980))
263 (ASSERT
264 (= (GCD 4337552841738910859248770564912480 17722936528737830) 338114285990))
265 (ASSERT (= (GCD 215913068853045803981566931862756 7009479781500) 2930844))
266 (ASSERT
267 (= (GCD 44890707654126305940250882318870941900 18329973480720) 1527497790060))
268 (ASSERT (= (GCD 811032943236714514667976787713600 1) 1))
269 (ASSERT (= (GCD 28579720891831355496720656680837200 3) 3))
270 (ASSERT (= (GCD 29332703209780553199747293473184160 1711) 29))
271 (ASSERT (= (GCD 3648979393315349438003046604440000 186) 186))
272 (ASSERT (= (GCD 1159760236369472473822068077011807878780 25714) 25714))
273 (ASSERT (= (GCD 158186359726371025615685433600 31395) 4485))
274 (ASSERT (= (GCD 331091450443070201468559735703944 28424) 28424))
275 (ASSERT (= (GCD 9734443639363161342241553023288200 1961348207) 63269297))
276 (ASSERT (= (GCD 701896612128009033011419603540080 51300) 3420))
277 (ASSERT (= (GCD 86169288128517384618860929451245320 5032162527446) 180164066))
278 (ASSERT (= (GCD 64828800524794653881296183831741773624 4645294472) 6354712))
279 (ASSERT (= (GCD 49068907706533938991402184550000 268183371225) 742890225))
280 (ASSERT (= (GCD 1708602980304476478496020543612288 4083128544) 131713824))
281 (ASSERT (= (GCD 17608179287674151740172985536160 980399424528) 91686096))
282 (ASSERT
283 (= (GCD 43194437079731225735521919644800 178119261126453036) 80633436453804))
284 (ASSERT (= (GCD 25246290024325083695058170420074167420 1) 1))
285 (ASSERT (= (GCD 817555977437791699707628651571149344 59) 59))
286 (ASSERT (= (GCD 19062946261334997559157066059536 533) 41))
287 (ASSERT (= (GCD 6533849124840489114353090499099000 598) 26))
288 (ASSERT (= (GCD 427663965127849896842400211428345149025 234) 117))
289 (ASSERT (= (GCD 352395507261316174741530450071590608 154734) 3774))
290 (ASSERT (= (GCD 391579493632653867660919800000 9221565) 645))
291 (ASSERT (= (GCD 2618798923882923048581401148931738000 681876) 52452))
292 (ASSERT (= (GCD 174712575449141140214591110997980800 233260339838) 126154862))
293 (ASSERT (= (GCD 88598141227372995032227898284800 1929763976) 155288))
294 (ASSERT
295 (= (GCD 210110141308655567793064872567302676320 720390430628) 468699044))
296 (ASSERT (= (GCD 668425085137718599277317523827419000 19898594339442) 58711254))
297 (ASSERT
298 (= (GCD 89533471731097208414073727453200 4173840860670546) 2257350384354))
299 (ASSERT
300 (= (GCD 113987439157802480362236410675251462620 21548296273949445)
301 1134120856523655))
302 (ASSERT
303 (= (GCD 48129335993995093308894209644253760 1009442888504820) 84891337020))
304 (ASSERT
305 (= (GCD 3497836376962291922989777163497680 138736290091634664)
306 3383811953454504))
307 (ASSERT (= (GCD 1969012592912798752707609058217540160 1) 1))
308 (ASSERT (= (GCD 11371924962562208722154622794880 3) 3))
309 (ASSERT (= (GCD 9451631862008339290824315653784000 703) 19))
310 (ASSERT (= (GCD 16869347753325980368094612370435598560 806) 806))
311 (ASSERT (= (GCD 4701845646467068759127854100132739552 3198) 6))
312 (ASSERT (= (GCD 1029865193584911347147121232800485280 1005771) 24531))
313 (ASSERT (= (GCD 10657125216930337802109861408000 2415138) 2838))
314 (ASSERT (= (GCD 14382707743772734802155022983680 247913634) 144894))
315 (ASSERT (= (GCD 60134748581470366378101904574533857248 54828228) 493948))
316 (ASSERT (= (GCD 214830664120540781167218700750596000 505665810) 11759670))
317 (ASSERT (= (GCD 48933004118344447687599112101802800 6263883444) 106167516))
318 (ASSERT (= (GCD 5498670161558110606435630054129739400 262699548132) 1346604))
319 (ASSERT
320 (= (GCD 35941673649029587182509620977230062500 25622409466332) 525598668))
321 (ASSERT
322 (= (GCD 1592802602494326390643157055239113248 736377633395508) 960075141324))
323 (ASSERT
324 (= (GCD 4043816553144402557587143272522043028314 5011466158645380)
325 366067652202))
326 (ASSERT
327 (= (GCD 7171921165220830707276631005512550 1765284492289500) 176528449228950))
328 (ASSERT (= (GCD 1083389923993353036483083606295714771264 1) 1))
329 (ASSERT (= (GCD 2402189359210218692854826119405968750 23) 1))
330 (ASSERT (= (GCD 26149068753160488131648964110990162400 1147) 31))
331 (ASSERT (= (GCD 556184059176863945810376239306506311552 4089) 4089))
332 (ASSERT (= (GCD 67871323087036310486238021899264593800 13395) 13395))
333 (ASSERT (= (GCD 12750401179065252879838440979200 7177173) 7177173))
334 (ASSERT (= (GCD 278110245000092733617125071646080 17748) 17748))
335 (ASSERT (= (GCD 13408203364935178481017292708752000 50619404) 1368092))
336 (ASSERT (= (GCD 124271828931784534297423756437875067000 8839796595) 4068015))
337 (ASSERT
338 (= (GCD 11893442806922081156953529319100769836176 972789007267) 983608703))
339 (ASSERT
340 (= (GCD 352581052555284857902053030133344488264100 923561430099) 54327142947))
341 (ASSERT
342 (= (GCD 6108908012714804315575319947340956346976 31944833628092) 97096758748))
343 (ASSERT (= (GCD 67475643422116264959949054821520228800 22515435540) 326310660))
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468 36546728803662))
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471 191197223381340))
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494 13189686))
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498 5814270648483))
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501 11708721780))
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504 48414687968))
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507 60868033380))
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510 3334229637375325))
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513 341279423634600))
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516 1915440648660))
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530 64371378271))
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533 108222780))
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536 12302357254))
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539 230746702186))
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542 12726233212))
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545 158783574180))
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548 80757786714))
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551 1433647093268))
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563 3476056267530))
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