1927:
random number generator could make one probe into the range at hand for a random number, and produce a random SP. Late in 2005, the program Fritz9 became available. It has a
Fischer random chess option, but, for some unexplained reason, it assigns idns to SPs in a different way. Rather than requiring a giant table with 960 entries, both methods can use some smaller tables and some arithmetic.
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number and select that matching bishops' positioning from the Bishop's Table. According to this first place both bishops at the first base row, then the six pieces in the sequence of the found row of the King's Table upon the six free places left over. Finally the black pieces will be placed symmetrically to White's base row.
2002:
For any SP, after ignoring the bishops, attention is given first to the knights (rather than to the queen). After taking account of the arrangement of the two knights in six squares (skipping over bishops), the queen is left with four possibilities: 0,1,2,3 (counting from the a-side of the board and
1998:
Upon entry to
Fischer random chess, Fritz9 prompts the user to enter a position idn or to "draw lots". If the user wishes to choose the first rank configuration of pieces, he/she must know how to get at the idn, but, unfortunately, Fritz9 does not use the standard method described above. The table
1938:
For any SP, both the queens position and the N5N configuration are immediately available from the NQ-skeleton. The queen's position is the number of characters to the left of the "Q", giving 2 for the standard SP. The N5N configuration is obtained by omitting the "Q", giving -N-N- for the standard
1989:
In any SP, when looking at the arrangement of the other pieces around the bishops, it is helpful to write down the NQ-skeleton for that SP. This is done by ignoring the bishops and replacing the "K" and "R" by a common symbol, say "-". The NQ-skeleton for the standard SP is -NQ-N-. The sections
1972:
Going the other way, given an idn, locate, in the table, the largest number, say M, that is less than or equal to idn. Then idn - M gives the bishop's code, and the skeleton at M shows how to fill in the rest of the pieces. Given idn = 518 we locate 512, with NQ-skeleton -NQ-N-, in the table, and
1930:
The methods described below are appropriate for the idn range 0-959. For the idn range 1-960, he recommends conversion by dividing by 960 and working with the remainder. This has the effect of assigning to idn 0 the SP that was at idn 960, and leaving the other idn SP matchups unchanged. If this
1917:
Consider the SP-518 arrangement. The largest multiple of 16 less than 518 is 512, so we search for 512 in the King's table and the remainder, 6, in the Bishop's table. In the King's table, number 512 is "RNQKNR". In the Bishop's table, "--B--B--" is at number 6. We insert the pieces from the King's
1968:
Given an SP, extract the bishop's code, the NQ-skeleton and its N5N configuration. The six skeletons in each of the 10 blocks in the table all have the same N5N configuration, and the blocks are arranged according to the N5N table above. It is easy, then, to find the appropriate block, and look
1934:
For any SP, after skipping over the bishop's, the queen may occupy any one of six possible squares, and they are numbered from left to right (from White's perspective) 0,1,2,3,4,5. The two knights, then, can appear in any of the remaining five squares (skipping over bishops and queen) in 10 ways.
1981:
Both methods take account of the positions of the bishops first, and ignore the distinction between the king and rooks. Once the positions of the bishops, knights and queen are known, there is only one possibility for the remaining three squares. In the places where division of whole numbers is
1913:
These two tables will serve for a quick mapping of an arbitrary
Fischer random chess starting position (short: SP) at White's base row to a number between 0 and 959. First search for the same or the nearest smaller number from the King's Table. Then determine the difference (0 to 15) to the drawn
160:
The
Fischer random chess numbering scheme can be shown in the form of a simple two-tables representation. Also a direct derivation of starting arrays exists for any given number from 0 to 959. This mapping of starting arrays and numbers stems from Reinhard Scharnagl and is now used worldwide for
1926:
For years, Reinhard
Scharnagl has championed the desirability of giving each of the starting positions (SP) a unique identification number (idn) in the range 0-959 or, perhaps, 1-960. He has presented his methods on the internet and in books. See the external references. As an application, a
2393:
Given an SP, extract the bishop's code, the NQ-skeleton and its queen's position. Then, locate, in the appropriate column, the NQ-skeleton at hand, say at No. M. The Fritz9 idn = (bishop's code) + M. For the standard SP, we extract 6 RNQKNR and 1 and get Fritz9 idn = 6 + 353 = 359.
1969:
inside for the entry with the "Q" in the desired place, say at No. M. Then idn = (bishop's code) + M. For the standard SP, we extract 6 -NQ-N- and -N-N-. The desired block is the middle one in the second row, and the desired skeleton is at No. 512. We get idn = 6 + 512 = 518.
1985:
There are 16 ways to put two bishops on opposite colored squares. These are shown and numbered in the table above. The entries actually can be calculated using simple arithmetic, but the table method seems less error prone. For the standard SP the bishop's code is 6.
1960:
Starting with idn = 518, we get 518 = 32*16 + 6, and 32 = 5*6 + 2 so the bishop's code is 6, the queen's position is 2 and the N5N code is 5 with configuration -N-N-. If asterisks denote blank squares, the first rank fills up as: **B**B** **BQ*B** *NBQ*BN*
1964:
All of the multiplication and division can be eliminated by using the NQ-skeleton table below. It contains all of the 60 possible NQ-skeletons, and directly refers to all of the SPs with bishop's code 0, i.e. with bishops on a1 and b1.
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are on different colored squares. In order to both select a valid arrangement and to then concisely discuss which randomly selected arrangement a particular game used, the
2796:
Anyone with Fritz9 can verify this table by entering in the idns. It directly refers to just those SPs with bishop's code 0 i.e. with the bishops on a1 and b1.
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2003:
skipping over bishops and knights). The queen's position is the number of hyphens to the left of the "Q" in the NQ-skeleton for the SP.
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141:, starts with a random selection of one of 960 positions for the pieces. Arrangements of the pieces are restricted so that the
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Fischer random chess. The enumeration has been published first in the internet and then 2004 in his (German language) book
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is used: a number between 0 and 959 indicates a valid arrangement and given an arrangement the number can be determined.
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table into these gaps to get the starting array "RNBQKBNR", which is the starting order in traditional chess.
163:"Fischer-Random-Schach (FRC / Chess960) - Die revolutionäre Zukunft des Schachspiels (inkl. Computerschach)",
43:
1957:
q2 gives the N5N code, so put the knights on the board (of course skipping over the bishops and queen).
1990:
below showing
Scharnagl's Methods and the Fritz9 Methods are independent, and may be read in any order.
1982:
done, it is always done giving a quotient (designated q1,q2,..) and a remainder (designated r1,r2 ..).
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idn = q1*16 + r1. r1 gives the bishop's code, so put the bishops on the board. Then divide q1 by 6.
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according to Q, where 0 is the first free square starting from a, 1 is the second, etc.
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White's starting array can be derived from its number N (0 ... 959) as follows:
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Divide N2 by 4 again, yielding quotient N3 and remainder B2. Place a second
1954:
q1 = q2*6 + r2. r2 gives the queen's position, so put it on the board.
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Going the other way, starting with an idn, divide it by 16 and get
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calculation is applied in the idn range 0-959, nothing is changed.
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Divide N3 by 6, yielding quotient N4 and remainder Q. Place the
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upon the bright square corresponding to B1 (0=b, 1=d, 2=f, 3=h).
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idn = (bishop's code) + 16* (queen's position) + 96* (N5N code)
1908:
The standard starting position for chess is denoted by SP-518.
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upon the dark square corresponding to B2 (0=a, 1=c, 2=e, 3=g).
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Divide N by 4, yielding quotient N2 and remainder B1. Place a
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1999:
below shows a quick way to get the Fritz9 idn for any SP.
232:according to its value by consulting the following
57:. Unsourced material may be challenged and removed.
474:There are three blank squares remaining; place a
1945:For the standard SP, idn = 6 + 16*2 + 96*5 = 518
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1935:These are shown and numbered in the N5N table.
216:N4 will be a single digit, 0 ... 9. Ignoring
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228:within the remaining five spaces. Place the
117:Learn how and when to remove this message
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66:"Fischer random chess numbering scheme"
2806:Fischer random chess starting position
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1939:SP, so its N5N code is 5. In general
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155:Fischer random chess numbering scheme
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55:adding citations to reliable sources
1973:get bishops code = 518 - 512 = 6.
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2818:Image of all starting positions
42:needs additional citations for
496:Scharnagl's NQ-skeleton Table
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486:Two-tables representation
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18:Chess960 numbering scheme
2823:Chess960 start positions
2398:Fritz9 NQ-skeleton Table
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2838:Fischer random chess
131:Fischer random chess
51:improve this article
2012:Knight positioning
1922:Scharnagl's methods
1017:Bishop positioning
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482:in the middle one.
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1007:Bishop's table
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510:
507:
502:
492:
489:
487:
484:
467:
466:
463:
460:
457:
454:
451:
445:
444:
441:
438:
435:
432:
429:
423:
422:
419:
416:
413:
410:
407:
401:
400:
397:
394:
391:
388:
385:
379:
378:
375:
372:
369:
366:
363:
357:
356:
353:
350:
347:
344:
341:
335:
334:
331:
328:
325:
322:
319:
313:
312:
309:
306:
303:
300:
297:
291:
290:
287:
284:
281:
278:
275:
269:
268:
265:
262:
259:
256:
253:
247:
246:
243:
177:
174:
125:
124:
39:
37:
30:
24:
14:
13:
10:
9:
6:
4:
3:
2:
2850:
2839:
2836:
2835:
2833:
2824:
2821:
2819:
2816:
2815:
2811:
2807:
2804:
2803:
2799:
2797:
2789:
2786:
2783:
2780:
2777:
2774:
2771:
2768:
2767:
2763:
2760:
2757:
2754:
2751:
2748:
2745:
2742:
2741:
2737:
2734:
2731:
2728:
2725:
2722:
2719:
2716:
2715:
2711:
2708:
2705:
2702:
2699:
2696:
2693:
2690:
2689:
2685:
2682:
2679:
2676:
2673:
2670:
2667:
2664:
2663:
2659:
2656:
2653:
2650:
2647:
2644:
2641:
2638:
2637:
2633:
2630:
2627:
2624:
2621:
2618:
2615:
2612:
2611:
2607:
2604:
2601:
2598:
2595:
2592:
2589:
2586:
2585:
2581:
2578:
2575:
2572:
2569:
2566:
2563:
2560:
2559:
2555:
2552:
2549:
2546:
2543:
2540:
2537:
2534:
2533:
2529:
2526:
2523:
2520:
2517:
2514:
2511:
2508:
2507:
2503:
2500:
2497:
2494:
2491:
2488:
2485:
2482:
2481:
2477:
2474:
2471:
2468:
2465:
2462:
2459:
2456:
2455:
2451:
2448:
2445:
2442:
2439:
2436:
2433:
2430:
2429:
2425:
2422:
2419:
2416:
2413:
2410:
2407:
2404:
2403:
2400:
2399:
2395:
2386:
2383:
2380:
2377:
2374:
2371:
2369:
2366:
2361:
2358:
2355:
2352:
2349:
2346:
2344:
2341:
2336:
2333:
2330:
2327:
2324:
2321:
2319:
2316:
2311:
2308:
2305:
2302:
2299:
2296:
2294:
2291:
2286:
2283:
2280:
2277:
2274:
2271:
2269:
2266:
2261:
2258:
2255:
2252:
2249:
2246:
2244:
2241:
2236:
2233:
2230:
2227:
2224:
2221:
2219:
2216:
2211:
2208:
2205:
2202:
2199:
2196:
2194:
2191:
2186:
2183:
2180:
2177:
2174:
2171:
2169:
2166:
2161:
2158:
2155:
2152:
2149:
2146:
2144:
2141:
2136:
2133:
2130:
2127:
2124:
2121:
2119:
2116:
2111:
2108:
2105:
2102:
2099:
2096:
2094:
2091:
2086:
2083:
2080:
2077:
2074:
2071:
2069:
2066:
2061:
2058:
2055:
2052:
2049:
2046:
2044:
2041:
2036:
2033:
2030:
2027:
2024:
2021:
2019:
2016:
2008:
2004:
2000:
1993:
1991:
1987:
1983:
1977:Preliminaries
1976:
1974:
1970:
1966:
1962:
1958:
1955:
1952:
1949:
1946:
1943:
1940:
1936:
1932:
1928:
1919:
1915:
1902:
1899:
1896:
1893:
1890:
1887:
1884:
1881:
1878:
1876:
1875:
1871:
1868:
1867:
1863:
1860:
1859:
1855:
1852:
1851:
1847:
1844:
1843:
1839:
1836:
1835:
1831:
1828:
1827:
1823:
1820:
1819:
1815:
1579:
1578:
1575:
1572:
1569:
1566:
1563:
1560:
1557:
1554:
1551:
1549:
1548:
1538:
1535:
1532:
1529:
1526:
1523:
1520:
1517:
1515:
1512:
1507:
1504:
1501:
1498:
1495:
1492:
1489:
1486:
1484:
1481:
1476:
1473:
1470:
1467:
1464:
1461:
1458:
1455:
1453:
1450:
1445:
1442:
1439:
1436:
1433:
1430:
1427:
1424:
1422:
1419:
1414:
1411:
1408:
1405:
1402:
1399:
1396:
1393:
1391:
1388:
1383:
1380:
1377:
1374:
1371:
1368:
1365:
1362:
1360:
1357:
1352:
1349:
1346:
1343:
1340:
1337:
1334:
1331:
1329:
1326:
1321:
1318:
1315:
1312:
1309:
1306:
1303:
1300:
1298:
1295:
1290:
1287:
1284:
1281:
1278:
1275:
1272:
1269:
1267:
1264:
1259:
1256:
1253:
1250:
1247:
1244:
1241:
1238:
1236:
1233:
1228:
1225:
1222:
1219:
1216:
1213:
1210:
1207:
1205:
1202:
1197:
1194:
1191:
1188:
1185:
1182:
1179:
1176:
1174:
1171:
1166:
1163:
1160:
1157:
1154:
1151:
1148:
1145:
1143:
1140:
1135:
1132:
1129:
1126:
1123:
1120:
1117:
1114:
1112:
1109:
1104:
1101:
1098:
1095:
1092:
1089:
1086:
1083:
1081:
1078:
1073:
1070:
1067:
1064:
1061:
1058:
1055:
1052:
1050:
1047:
1042:
1039:
1036:
1033:
1030:
1027:
1024:
1021:
997:
994:
989:
986:
981:
978:
973:
970:
965:
962:
961:
955:
952:
947:
944:
939:
936:
931:
928:
923:
920:
919:
913:
910:
905:
902:
897:
894:
889:
886:
881:
878:
877:
871:
868:
863:
860:
855:
852:
847:
844:
839:
836:
835:
829:
826:
821:
818:
813:
810:
805:
802:
797:
794:
793:
787:
784:
779:
776:
771:
768:
763:
760:
755:
752:
751:
745:
742:
737:
734:
729:
726:
721:
718:
713:
710:
709:
703:
700:
695:
692:
687:
684:
679:
676:
671:
668:
667:
661:
658:
653:
650:
645:
642:
637:
634:
629:
626:
625:
619:
616:
611:
608:
603:
600:
595:
592:
587:
584:
583:
577:
574:
569:
566:
561:
558:
553:
550:
545:
542:
541:
535:
532:
527:
524:
519:
516:
511:
508:
503:
500:
499:
485:
483:
481:
477:
473:
464:
461:
458:
455:
452:
450:
447:
442:
439:
436:
433:
430:
428:
425:
420:
417:
414:
411:
408:
406:
403:
398:
395:
392:
389:
386:
384:
381:
376:
373:
370:
367:
364:
362:
359:
354:
351:
348:
345:
342:
340:
337:
332:
329:
326:
323:
320:
318:
315:
310:
307:
304:
301:
298:
296:
293:
288:
285:
282:
279:
276:
274:
271:
266:
263:
260:
257:
254:
252:
249:
241:
237:
235:
231:
227:
223:
219:
215:
211:
209:
205:
201:
199:
195:
191:
189:
185:
181:
175:
173:
171:
170:3-8334-1322-0
167:
164:
158:
156:
152:
148:
144:
140:
136:
132:
121:
118:
110:
99:
96:
92:
89:
85:
82:
78:
75:
71:
68: –
67:
63:
62:Find sources:
56:
52:
46:
45:
40:This article
38:
34:
29:
28:
19:
2795:
2397:
2396:
2392:
2367:
2342:
2317:
2292:
2267:
2242:
2217:
2192:
2167:
2142:
2117:
2092:
2067:
2042:
2017:
2001:
1997:
1988:
1984:
1980:
1971:
1967:
1963:
1959:
1956:
1953:
1950:
1947:
1944:
1941:
1937:
1933:
1929:
1925:
1916:
1912:
1513:
1482:
1451:
1420:
1389:
1358:
1327:
1296:
1265:
1234:
1203:
1172:
1141:
1110:
1079:
1048:
491:King's table
479:
475:
471:
470:
448:
426:
404:
382:
360:
338:
316:
294:
272:
250:
233:
229:
225:
221:
217:
213:
212:
207:
203:
202:
197:
193:
192:
187:
183:
182:
179:
162:
159:
154:
135:chess pieces
128:
113:
104:
94:
87:
80:
73:
61:
49:Please help
44:verification
41:
107:August 2012
1014:Remainder
77:newspapers
129:The game
2832:Category
2800:See also
149:and the
2790:RKRQNN
2764:RKRNQN
2738:RKRNNQ
2712:RKNRQN
2686:RKNRNQ
2660:RKNNRQ
2634:RNKRQN
2608:RNKRNQ
2582:RNKNRQ
2556:RNNKRQ
2530:NRKRQN
2504:NRKRNQ
2478:NRKNRQ
2452:NRNKRQ
2426:NNRKRQ
999:RKRNNQ
991:RKNNRQ
983:RNKNRQ
975:NRKRNQ
957:RKRNQN
949:RKNNQR
941:RNKNQR
933:NRKRQN
915:RKRQNN
907:RKNQNR
899:RNKQNR
891:NRKQRN
873:RKQRNN
865:RKQNNR
857:RNQKNR
849:NRQKRN
831:RQKRNN
823:RQKNNR
815:RQNKNR
807:NQRKRN
789:QRKRNN
781:QRKNNR
773:QRNKNR
765:QNRKRN
747:RKNRNQ
739:RNKRNQ
731:RNNKRQ
723:NRKNRQ
705:RKNRQN
697:RNKRQN
689:RNNKQR
681:NRKNQR
663:RKNQRN
655:RNKQRN
647:RNNQKR
639:NRKQNR
621:RKQNRN
613:RNQKRN
605:RNQNKR
597:NRQKNR
579:RQKNRN
571:RQNKRN
563:RQNNKR
555:NQRKNR
537:QRKNRN
529:QRNKRN
521:QRNNKR
513:QNRKNR
236:table:
230:Knights
226:Knights
218:Bishops
151:bishops
91:scholar
2784:RKQRNN
2778:RQKRNN
2772:QRKRNN
2758:RKQNRN
2752:RQKNRN
2746:QRKNRN
2732:RKQNNR
2726:RQKNNR
2720:QRKNNR
2706:RKNQRN
2700:RQNKRN
2694:QRNKRN
2680:RKNQNR
2674:RQNKNR
2668:QRNKNR
2654:RKNNQR
2648:RQNNKR
2642:QRNNKR
2628:RNKQRN
2622:RNQKRN
2616:QNRKRN
2602:RNKQNR
2596:RNQKNR
2590:QNRKNR
2576:RNKNQR
2570:RNQNKR
2564:QNRNKR
2550:RNNKQR
2544:RNNQKR
2538:QNNRKR
2524:NRKQRN
2518:NRQKRN
2512:NQRKRN
2498:NRKQNR
2492:NRQKNR
2486:NQRKNR
2472:NRKNQR
2466:NRQNKR
2460:NQRNKR
2446:NRNKQR
2440:NRNQKR
2434:NQNRKR
2420:NNRKQR
2414:NNRQKR
2408:NNQRKR
2009:Digit
967:NRNKRQ
925:NRNKQR
883:NRNQKR
841:NRQNKR
799:NQRNKR
757:QNRNKR
715:NNRKRQ
673:NNRKQR
631:NNRQKR
589:NNQRKR
547:NQNRKR
505:QNNRKR
242:Digit
198:Bishop
188:Bishop
168:
93:
86:
79:
72:
64:
222:Queen
208:Queen
147:rooks
139:rules
98:JSTOR
84:books
480:King
476:Rook
220:and
166:ISBN
143:king
137:and
70:news
2787:945
2781:705
2775:465
2769:225
2761:929
2755:689
2749:449
2743:209
2735:913
2729:673
2723:433
2717:193
2709:897
2703:657
2697:417
2691:177
2683:881
2677:641
2671:401
2665:161
2657:865
2651:625
2645:385
2639:145
2631:849
2625:609
2619:369
2613:129
2605:833
2599:593
2593:353
2587:113
2579:817
2573:577
2567:337
2553:801
2547:561
2541:321
2527:785
2521:545
2515:305
2501:769
2495:529
2489:289
2475:753
2469:513
2463:273
2449:737
2443:497
2437:257
2423:721
2417:481
2411:241
995:944
987:752
979:560
971:368
963:176
953:928
945:736
937:544
929:352
921:160
911:912
903:720
895:528
887:336
879:144
869:896
861:704
853:512
845:320
837:128
827:880
819:688
811:496
803:304
795:112
785:864
777:672
769:480
761:288
743:848
735:656
727:464
719:272
701:832
693:640
685:448
677:256
659:816
651:624
643:432
635:240
617:800
609:608
601:416
593:224
575:784
567:592
559:400
551:208
533:768
525:576
517:384
509:192
234:N5N
53:by
2834::
2561:97
2535:81
2509:65
2483:49
2457:33
2431:17
2387:N
2368:14
2362:N
2343:13
2337:-
2318:12
2312:N
2293:11
2287:-
2268:10
2262:-
2237:N
2212:-
2187:-
2162:-
2137:N
2112:-
2087:-
2062:-
2037:-
1539:B
1514:15
1508:-
1483:14
1477:-
1452:13
1446:-
1421:12
1415:B
1390:11
1384:-
1359:10
1353:-
1322:-
1291:B
1260:-
1229:-
1198:-
1167:B
1136:-
1105:-
1074:-
1043:h
753:96
711:80
669:64
627:48
585:32
543:16
472:e)
465:N
443:N
421:-
399:N
377:-
355:-
333:N
311:-
289:-
267:-
214:d)
204:c)
194:b)
184:a)
172:.
2405:1
2384:N
2381:-
2378:-
2375:-
2372:-
2359:-
2356:N
2353:-
2350:-
2347:-
2334:N
2331:N
2328:-
2325:-
2322:-
2309:-
2306:-
2303:N
2300:-
2297:-
2284:N
2281:-
2278:N
2275:-
2272:-
2259:-
2256:N
2253:N
2250:-
2247:-
2243:9
2234:-
2231:-
2228:-
2225:N
2222:-
2218:8
2209:N
2206:-
2203:-
2200:N
2197:-
2193:7
2184:-
2181:N
2178:-
2175:N
2172:-
2168:6
2159:-
2156:-
2153:N
2150:N
2147:-
2143:5
2134:-
2131:-
2128:-
2125:-
2122:N
2118:4
2109:N
2106:-
2103:-
2100:-
2097:N
2093:3
2084:-
2081:N
2078:-
2075:-
2072:N
2068:2
2059:-
2056:-
2053:N
2050:-
2047:N
2043:1
2034:-
2031:-
2028:-
2025:N
2022:N
2018:0
1900:h
1897:g
1894:f
1891:e
1888:d
1885:c
1882:b
1879:a
1872:1
1869:1
1864:2
1861:2
1856:3
1853:3
1848:4
1845:4
1840:5
1837:5
1832:6
1829:6
1824:7
1821:7
1816:8
1580:8
1573:h
1570:g
1567:f
1564:e
1561:d
1558:c
1555:b
1552:a
1536:B
1533:-
1530:-
1527:-
1524:-
1521:-
1518:-
1505:B
1502:B
1499:-
1496:-
1493:-
1490:-
1487:-
1474:B
1471:-
1468:-
1465:B
1462:-
1459:-
1456:-
1443:B
1440:-
1437:-
1434:-
1431:-
1428:B
1425:-
1412:-
1409:-
1406:B
1403:-
1400:-
1397:-
1394:-
1381:-
1378:B
1375:B
1372:-
1369:-
1366:-
1363:-
1350:-
1347:-
1344:B
1341:B
1338:-
1335:-
1332:-
1328:9
1319:-
1316:-
1313:B
1310:-
1307:-
1304:B
1301:-
1297:8
1288:-
1285:-
1282:-
1279:-
1276:B
1273:-
1270:-
1266:7
1257:-
1254:B
1251:-
1248:-
1245:B
1242:-
1239:-
1235:6
1226:-
1223:-
1220:-
1217:B
1214:B
1211:-
1208:-
1204:5
1195:-
1192:-
1189:-
1186:-
1183:B
1180:B
1177:-
1173:4
1164:-
1161:-
1158:-
1155:-
1152:-
1149:-
1146:B
1142:3
1133:-
1130:B
1127:-
1124:-
1121:-
1118:-
1115:B
1111:2
1102:-
1099:-
1096:-
1093:B
1090:-
1087:-
1084:B
1080:1
1071:-
1068:-
1065:-
1062:-
1059:-
1056:B
1053:B
1049:0
1040:g
1037:f
1034:e
1031:d
1028:c
1025:b
1022:a
501:0
462:N
459:-
456:-
453:-
449:9
440:-
437:N
434:-
431:-
427:8
418:N
415:N
412:-
409:-
405:7
396:-
393:-
390:N
387:-
383:6
374:N
371:-
368:N
365:-
361:5
352:-
349:N
346:N
343:-
339:4
330:-
327:-
324:-
321:N
317:3
308:N
305:-
302:-
299:N
295:2
286:-
283:N
280:-
277:N
273:1
264:-
261:-
258:N
255:N
251:0
120:)
114:(
109:)
105:(
95:·
88:·
81:·
74:·
47:.
20:)
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