1604:
20:
1096:
884:
1619:, the input resistance of the amplifier depends on its load, and the output resistance on the source impedance. The loading factors in these cases must employ the true amplifier impedances including these bilateral effects. For example, taking the unilateral current amplifier of Figure 3, the corresponding bilateral two-port network is shown in Figure 4 based upon
95:, unlike voltage division, where the considered impedance is in the numerator. This is because in current dividers, total energy expended is minimized, resulting in currents that go through paths of least impedance, hence the inverse relationship with impedance. Comparatively, voltage divider is used to satisfy
873:
1156:
are characterized by a short-circuit output condition, and current amplifiers and transresistance amplifiers are characterized using ideal infinite-impedance current sources. When an amplifier is terminated by a finite, non-zero termination, and/or driven by a non-ideal source, the effective gain is
1582:
1757:
1025:
498:
380:
700:
1411:
1439:
1279:
79:
refers to the splitting of current between the branches of the divider. The currents in the various branches of such a circuit will always divide in such a way as to minimize the total energy expended.
218:
675:
575:
1636:
901:
102:
To be specific, if two or more impedances are in parallel, the current that enters the combination will be split between them in inverse proportion to their impedances (according to
1072:
of the circuit. Because the capacitor has zero impedance at high frequencies and infinite impedance at low frequencies, the current in the resistor remains at its DC value
400:
282:
687:
is a straightforward addition, not the sum of the inverses inverted (as would be done for a standard parallel resistive network). For Figure 1, the current
868:{\displaystyle I_{X}={\frac {Y_{X}}{Y_{T}}}I_{T}={\frac {\frac {1}{R_{X}}}{{\frac {1}{R_{X}}}+{\frac {1}{R_{1}}}+{\frac {1}{R_{2}}}+{\frac {1}{R_{3}}}}}I_{T}.}
1324:
1577:{\displaystyle A_{\text{loaded}}={\frac {i_{L}}{i_{S}}}={\frac {R_{S}}{R_{S}+R_{\text{in}}}}{\frac {R_{\text{out}}}{R_{\text{out}}+R_{L}}}A_{i}.}
99:(KVL). The voltage around a loop must sum up to zero, so the voltage drops must be divided evenly in a direct relationship with the impedance.
1812:) is the current feedback provided by the voltage feedback source of voltage gain β V/V. For instance, for an ideal current source with
1202:
1079:
for frequencies up to the corner frequency, whereupon it drops toward zero for higher frequencies as the capacitor effectively
2008:
141:
1884:
1851:
252:
1900:
1752:{\displaystyle A_{\text{fb}}={\frac {i_{L}}{i_{S}}}={\frac {A_{\text{loaded}}}{1+\beta (R_{L}/R_{S})A_{\text{loaded}}}}.}
613:
516:
1927:
is the only two-port among the four standard choices that has a current-controlled current source on the output side.
1924:
1769:
is reduced not only by the loading factors, but due to the bilateral nature of the two-port by an additional factor
1620:
1607:
Figure 4: Current amplifier as a bilateral two-port network; feedback through dependent voltage source of gain β V/V
1612:
1020:{\displaystyle I_{R}={\frac {\frac {1}{j\omega C}}{R+{\frac {1}{j\omega C}}}}I_{T}={\frac {1}{1+j\omega CR}}I_{T},}
269:, ... etc., then the reciprocal of each resistor must be added to find the reciprocal of the total resistance
1795:
96:
1153:
1152:
The gain of an amplifier generally depends on its source and load terminations. Current amplifiers and
390:
Although the resistive divider is most common, the current divider may be made of frequency-dependent
2028:
493:{\displaystyle {\frac {1}{Z_{T}}}={\frac {1}{Z_{1}}}+{\frac {1}{Z_{2}}}+\ldots +{\frac {1}{Z_{n}}},}
375:{\displaystyle {\frac {1}{R_{T}}}={\frac {1}{R_{1}}}+{\frac {1}{R_{2}}}+\ldots +{\frac {1}{R_{n}}}.}
2023:
1971:
1592:
1994:
1988:
1876:
106:). It also follows that if the impedances have the same value, the current is split equally.
1868:
596:
391:
88:
1164:
Figure 3 shows a current amplifier example. The amplifier (gray box) has input resistance
8:
1193:
1291:. Likewise, for a short circuit at the output, the amplifier delivers an output current
1976:
1161:
at the output and/or the input, which can be understood in terms of current division.
1880:
1869:
1847:
23:
Figure 1: Schematic of an electrical circuit illustrating current division. Notation
2000:
1134:) reduces the current gain, as does the current divider in green box at the output (
1616:
1185:. With an ideal current driver (infinite Norton resistance) all the source current
1069:
58:
1956:
1084:
600:
84:
1603:
1318:, the current delivered to the load is reduced by current division to the value
1406:{\displaystyle i_{L}={\frac {R_{\text{out}}}{R_{\text{out}}+R_{L}}}A_{i}i_{i}.}
1046:
54:
128:
that is in parallel with a combination of other resistors of total resistance
2017:
1623:. Carrying out the analysis for this circuit, the current gain with feedback
1080:
1061:
83:
The formula describing a current divider is similar in form to that for the
1966:
1196:
a current divider is formed at the input that reduces the input current to
103:
19:
1615:
amplifier. In a more general case where the amplifier is represented by a
1423:
realized with an ideal driver and a short-circuit load is reduced to the
92:
46:
895:
and a resistor. Using the formula below, the current in the resistor is
604:
1826:= 0 Ω, there is zero load voltage, again disabling the feedback.
892:
883:
1311:
to the short circuit. However, when the load is a non-zero resistor
1099:
Figure 3: A current amplifier (gray box) driven by a Norton source (
1961:
1095:
1846:. Edinburgh Gate, England: Pearson Education Limited. p. 85.
1901:"Current Divider Circuits. Divider Circuits And Kirchhoff's Laws"
1274:{\displaystyle i_{i}={\frac {R_{S}}{R_{S}+R_{\text{in}}}}i_{S},}
1591:. For more discussion of loading in other amplifier types, see
87:. However, the ratio describing current division places the
1819:= ∞ Ω, the voltage feedback has no influence, and for
1587:
The resistor ratios in the above expression are called the
587:
refers to the equivalent impedance of the entire circuit.
1598:
599:, the current divider rule can be applied just like the
213:{\displaystyle I_{X}={\frac {R_{T}}{R_{X}+R_{T}}}I_{T},}
2009:
University of Texas: Notes on electronic circuit theory
1192:
becomes input current to the amplifier. However, for a
1083:
the resistor. In other words, the current divider is a
230:
is the total current entering the combined network of
1639:
1442:
1327:
1205:
904:
891:
Figure 2 shows a simple current divider made up of a
703:
616:
519:
403:
285:
144:
1611:Figure 3 and the associated discussion refers to a
34:resistance of the circuit to the right of resistor
1751:
1576:
1405:
1273:
1019:
867:
670:{\displaystyle I_{X}={\frac {Y_{X}}{Y_{T}}}I_{T}.}
669:
569:
492:
374:
212:
570:{\displaystyle I_{X}={\frac {Z_{T}}{Z_{X}}}I_{T}}
2015:
1416:Combining these results, the ideal current gain
1866:
1841:
1867:Alexander, Charles; Sadiku, Matthew (2007).
1064:of the circuit, and the frequency for which
68:) that is a fraction of its input current (
878:
1041:) is the impedance of the capacitor, and
1602:
1120:. Current divider in blue box at input (
1094:
882:
18:
1829:
887:Figure 2: A low-pass RC current divider
2016:
1842:Nilsson, James; Riedel, Susan (2015).
1599:Unilateral versus bilateral amplifiers
1593:Voltage division § Loading effect
1996:Lessons In Electric Circuits Vol 1 DC
1990:Divider Circuits and Kirchhoff's Laws
1875:. New York, NY: McGraw-Hill. p.
607:(the inverse of impedance) is used:
590:
13:
114:A general formula for the current
109:
91:of the considered branches in the
14:
2040:
1982:
1871:Fundamentals of Electric Circuits
1090:
1762:That is, the ideal current gain
385:
1930:
1917:
1893:
1860:
1835:
1730:
1702:
1:
1087:for current in the resistor.
1068: = 1 is called the
2002:Lessons In Electric Circuits
7:
1950:
1796:negative-feedback amplifier
1284:which clearly is less than
1154:transconductance amplifiers
1113:) and with a resistor load
10:
2045:
1178:and an ideal current gain
57:that produces an output
1798:circuits. The factor β(
1794:, which is typical for
879:Example: RC combination
680:Take care to note that
394:. In the general case:
97:Kirchhoff's voltage law
1753:
1608:
1578:
1407:
1275:
1149:
1021:
888:
869:
671:
571:
494:
376:
214:
42:
1754:
1606:
1579:
1408:
1276:
1098:
1022:
886:
870:
672:
572:
495:
377:
215:
22:
16:Simple linear circuit
1942:desensitivity factor
1925:h-parameter two-port
1905:Electronics Textbook
1830:References and notes
1637:
1440:
1325:
1203:
1171:, output resistance
902:
701:
614:
517:
401:
283:
253:parallel combination
142:
1157:reduced due to the
244:. Notice that when
1977:Voltage regulation
1972:Thévenin's theorem
1938:improvement factor
1749:
1609:
1574:
1403:
1271:
1150:
1017:
889:
865:
667:
567:
490:
372:
255:of resistors, say
210:
135:(see Figure 1) is
43:
1936:Often called the
1886:978-0-07-128441-7
1853:978-1-292-06054-5
1844:Electric Circuits
1744:
1740:
1689:
1675:
1647:
1559:
1542:
1531:
1520:
1516:
1478:
1450:
1378:
1361:
1350:
1256:
1252:
1002:
962:
959:
935:
850:
847:
827:
807:
787:
770:
739:
652:
595:Instead of using
555:
485:
459:
439:
419:
367:
341:
321:
301:
251:is composed of a
237:in parallel with
195:
2036:
2029:Electric current
1945:
1934:
1928:
1921:
1915:
1914:
1912:
1911:
1897:
1891:
1890:
1874:
1864:
1858:
1857:
1839:
1793:
1758:
1756:
1755:
1750:
1745:
1743:
1742:
1741:
1738:
1729:
1728:
1719:
1714:
1713:
1691:
1690:
1687:
1681:
1676:
1674:
1673:
1664:
1663:
1654:
1649:
1648:
1645:
1617:two-port network
1583:
1581:
1580:
1575:
1570:
1569:
1560:
1558:
1557:
1556:
1544:
1543:
1540:
1533:
1532:
1529:
1523:
1521:
1519:
1518:
1517:
1514:
1505:
1504:
1494:
1493:
1484:
1479:
1477:
1476:
1467:
1466:
1457:
1452:
1451:
1448:
1412:
1410:
1409:
1404:
1399:
1398:
1389:
1388:
1379:
1377:
1376:
1375:
1363:
1362:
1359:
1352:
1351:
1348:
1342:
1337:
1336:
1280:
1278:
1277:
1272:
1267:
1266:
1257:
1255:
1254:
1253:
1250:
1241:
1240:
1230:
1229:
1220:
1215:
1214:
1070:corner frequency
1060:is known as the
1026:
1024:
1023:
1018:
1013:
1012:
1003:
1001:
978:
973:
972:
963:
961:
960:
958:
944:
934:
920:
919:
914:
913:
874:
872:
871:
866:
861:
860:
851:
849:
848:
846:
845:
833:
828:
826:
825:
813:
808:
806:
805:
793:
788:
786:
785:
773:
769:
768:
756:
755:
750:
749:
740:
738:
737:
728:
727:
718:
713:
712:
676:
674:
673:
668:
663:
662:
653:
651:
650:
641:
640:
631:
626:
625:
591:Using admittance
576:
574:
573:
568:
566:
565:
556:
554:
553:
544:
543:
534:
529:
528:
503:and the current
499:
497:
496:
491:
486:
484:
483:
471:
460:
458:
457:
445:
440:
438:
437:
425:
420:
418:
417:
405:
381:
379:
378:
373:
368:
366:
365:
353:
342:
340:
339:
327:
322:
320:
319:
307:
302:
300:
299:
287:
219:
217:
216:
211:
206:
205:
196:
194:
193:
192:
180:
179:
169:
168:
159:
154:
153:
77:Current division
51:current divider
2044:
2043:
2039:
2038:
2037:
2035:
2034:
2033:
2024:Analog circuits
2014:
2013:
1999:free ebook and
1985:
1957:Voltage divider
1953:
1948:
1935:
1931:
1922:
1918:
1909:
1907:
1899:
1898:
1894:
1887:
1865:
1861:
1854:
1840:
1836:
1832:
1824:
1817:
1810:
1803:
1791:
1783:
1776:
1770:
1767:
1737:
1733:
1724:
1720:
1715:
1709:
1705:
1692:
1686:
1682:
1680:
1669:
1665:
1659:
1655:
1653:
1644:
1640:
1638:
1635:
1634:
1630:is found to be
1629:
1601:
1589:loading factors
1565:
1561:
1552:
1548:
1539:
1535:
1534:
1528:
1524:
1522:
1513:
1509:
1500:
1496:
1495:
1489:
1485:
1483:
1472:
1468:
1462:
1458:
1456:
1447:
1443:
1441:
1438:
1437:
1432:
1421:
1394:
1390:
1384:
1380:
1371:
1367:
1358:
1354:
1353:
1347:
1343:
1341:
1332:
1328:
1326:
1323:
1322:
1316:
1309:
1304:
1297:
1289:
1262:
1258:
1249:
1245:
1236:
1232:
1231:
1225:
1221:
1219:
1210:
1206:
1204:
1201:
1200:
1190:
1183:
1177:
1170:
1146:
1140:
1133:
1125:
1118:
1111:
1104:
1093:
1085:low-pass filter
1077:
1044:
1035:
1008:
1004:
982:
977:
968:
964:
948:
943:
936:
924:
918:
909:
905:
903:
900:
899:
881:
856:
852:
841:
837:
832:
821:
817:
812:
801:
797:
792:
781:
777:
772:
771:
764:
760:
754:
745:
741:
733:
729:
723:
719:
717:
708:
704:
702:
699:
698:
692:
685:
658:
654:
646:
642:
636:
632:
630:
621:
617:
615:
612:
611:
601:voltage divider
593:
585:
561:
557:
549:
545:
539:
535:
533:
524:
520:
518:
515:
514:
508:
479:
475:
470:
453:
449:
444:
433:
429:
424:
413:
409:
404:
402:
399:
398:
388:
361:
357:
352:
335:
331:
326:
315:
311:
306:
295:
291:
286:
284:
281:
280:
274:
267:
260:
249:
242:
235:
228:
201:
197:
188:
184:
175:
171:
170:
164:
160:
158:
149:
145:
143:
140:
139:
133:
126:
119:
112:
110:Current divider
85:voltage divider
73:
66:
39:
28:
17:
12:
11:
5:
2042:
2032:
2031:
2026:
2012:
2011:
2006:
1984:
1983:External links
1981:
1980:
1979:
1974:
1969:
1964:
1959:
1952:
1949:
1947:
1946:
1929:
1916:
1892:
1885:
1859:
1852:
1833:
1831:
1828:
1822:
1815:
1808:
1801:
1789:
1781:
1774:
1765:
1760:
1759:
1748:
1736:
1732:
1727:
1723:
1718:
1712:
1708:
1704:
1701:
1698:
1695:
1685:
1679:
1672:
1668:
1662:
1658:
1652:
1643:
1627:
1600:
1597:
1585:
1584:
1573:
1568:
1564:
1555:
1551:
1547:
1538:
1527:
1512:
1508:
1503:
1499:
1492:
1488:
1482:
1475:
1471:
1465:
1461:
1455:
1446:
1430:
1419:
1414:
1413:
1402:
1397:
1393:
1387:
1383:
1374:
1370:
1366:
1357:
1346:
1340:
1335:
1331:
1314:
1307:
1302:
1295:
1287:
1282:
1281:
1270:
1265:
1261:
1248:
1244:
1239:
1235:
1228:
1224:
1218:
1213:
1209:
1188:
1181:
1175:
1168:
1159:loading effect
1144:
1138:
1131:
1123:
1116:
1109:
1102:
1092:
1091:Loading effect
1089:
1081:short-circuits
1075:
1047:imaginary unit
1042:
1033:
1028:
1027:
1016:
1011:
1007:
1000:
997:
994:
991:
988:
985:
981:
976:
971:
967:
957:
954:
951:
947:
942:
939:
933:
930:
927:
923:
917:
912:
908:
880:
877:
876:
875:
864:
859:
855:
844:
840:
836:
831:
824:
820:
816:
811:
804:
800:
796:
791:
784:
780:
776:
767:
763:
759:
753:
748:
744:
736:
732:
726:
722:
716:
711:
707:
690:
683:
678:
677:
666:
661:
657:
649:
645:
639:
635:
629:
624:
620:
592:
589:
583:
578:
577:
564:
560:
552:
548:
542:
538:
532:
527:
523:
506:
501:
500:
489:
482:
478:
474:
469:
466:
463:
456:
452:
448:
443:
436:
432:
428:
423:
416:
412:
408:
387:
384:
383:
382:
371:
364:
360:
356:
351:
348:
345:
338:
334:
330:
325:
318:
314:
310:
305:
298:
294:
290:
272:
265:
258:
247:
240:
233:
226:
221:
220:
209:
204:
200:
191:
187:
183:
178:
174:
167:
163:
157:
152:
148:
131:
124:
121:in a resistor
117:
111:
108:
71:
64:
55:linear circuit
37:
30:refers to the
26:
15:
9:
6:
4:
3:
2:
2041:
2030:
2027:
2025:
2022:
2021:
2019:
2010:
2007:
2004:
2003:
1998:
1997:
1993:chapter from
1992:
1991:
1987:
1986:
1978:
1975:
1973:
1970:
1968:
1965:
1963:
1960:
1958:
1955:
1954:
1943:
1939:
1933:
1926:
1920:
1906:
1902:
1896:
1888:
1882:
1878:
1873:
1872:
1863:
1855:
1849:
1845:
1838:
1834:
1827:
1825:
1818:
1811:
1804:
1797:
1788:
1784:
1777:
1768:
1746:
1734:
1725:
1721:
1716:
1710:
1706:
1699:
1696:
1693:
1683:
1677:
1670:
1666:
1660:
1656:
1650:
1641:
1633:
1632:
1631:
1626:
1622:
1618:
1614:
1605:
1596:
1594:
1590:
1571:
1566:
1562:
1553:
1549:
1545:
1536:
1525:
1510:
1506:
1501:
1497:
1490:
1486:
1480:
1473:
1469:
1463:
1459:
1453:
1444:
1436:
1435:
1434:
1429:
1426:
1422:
1400:
1395:
1391:
1385:
1381:
1372:
1368:
1364:
1355:
1344:
1338:
1333:
1329:
1321:
1320:
1319:
1317:
1310:
1301:
1294:
1290:
1268:
1263:
1259:
1246:
1242:
1237:
1233:
1226:
1222:
1216:
1211:
1207:
1199:
1198:
1197:
1195:
1194:Norton driver
1191:
1184:
1174:
1167:
1162:
1160:
1155:
1147:
1137:
1130:
1126:
1119:
1112:
1105:
1097:
1088:
1086:
1082:
1078:
1071:
1067:
1063:
1062:time constant
1059:
1055:
1050:
1048:
1040:
1036:
1014:
1009:
1005:
998:
995:
992:
989:
986:
983:
979:
974:
969:
965:
955:
952:
949:
945:
940:
937:
931:
928:
925:
921:
915:
910:
906:
898:
897:
896:
894:
885:
862:
857:
853:
842:
838:
834:
829:
822:
818:
814:
809:
802:
798:
794:
789:
782:
778:
774:
765:
761:
757:
751:
746:
742:
734:
730:
724:
720:
714:
709:
705:
697:
696:
695:
693:
686:
664:
659:
655:
647:
643:
637:
633:
627:
622:
618:
610:
609:
608:
606:
602:
598:
588:
586:
562:
558:
550:
546:
540:
536:
530:
525:
521:
513:
512:
511:
509:
487:
480:
476:
472:
467:
464:
461:
454:
450:
446:
441:
434:
430:
426:
421:
414:
410:
406:
397:
396:
395:
393:
369:
362:
358:
354:
349:
346:
343:
336:
332:
328:
323:
316:
312:
308:
303:
296:
292:
288:
279:
278:
277:
275:
268:
261:
254:
250:
243:
236:
229:
207:
202:
198:
189:
185:
181:
176:
172:
165:
161:
155:
150:
146:
138:
137:
136:
134:
127:
120:
107:
105:
100:
98:
94:
90:
86:
81:
78:
74:
67:
60:
56:
52:
48:
40:
33:
29:
21:
2001:
1995:
1989:
1941:
1937:
1932:
1919:
1908:. Retrieved
1904:
1895:
1870:
1862:
1843:
1837:
1820:
1813:
1806:
1799:
1786:
1779:
1772:
1763:
1761:
1624:
1621:h-parameters
1610:
1588:
1586:
1427:
1424:
1417:
1415:
1312:
1305:
1299:
1292:
1285:
1283:
1186:
1179:
1172:
1165:
1163:
1158:
1151:
1142:
1135:
1128:
1121:
1114:
1107:
1100:
1073:
1065:
1057:
1053:
1052:The product
1051:
1038:
1031:
1029:
890:
688:
681:
679:
594:
581:
579:
510:is given by
504:
502:
389:
386:General case
270:
263:
256:
245:
238:
231:
224:
222:
129:
122:
115:
113:
101:
82:
76:
69:
62:
53:is a simple
50:
44:
35:
31:
24:
1425:loaded gain
93:denominator
47:electronics
2018:Categories
1910:2018-01-10
1613:unilateral
605:admittance
597:impedances
392:impedances
1967:Ohm's law
1700:β
993:ω
953:ω
929:ω
893:capacitor
694:would be
465:…
347:…
104:Ohm's law
89:impedance
1962:Resistor
1951:See also
603:rule if
2005:series.
1940:or the
1771:(1 + β(
1045:is the
59:current
1883:
1850:
1790:loaded
1739:loaded
1688:loaded
1449:loaded
1431:loaded
1030:where
580:where
223:where
1037:= 1/(
32:total
1923:The
1881:ISBN
1848:ISBN
49:, a
1877:392
1541:out
1530:out
1360:out
1349:out
1296:out
1176:out
1139:out
1066:ωCR
1039:jωC
75:).
45:In
2020::
1903:.
1879:.
1785:)
1646:fb
1628:fb
1595:.
1515:in
1433::
1303:in
1298:=
1251:in
1169:in
1132:in
1127:,
1106:,
1058:CR
1056:=
1049:.
276::
262:,
1944:.
1913:.
1889:.
1856:.
1823:L
1821:R
1816:S
1814:R
1809:S
1807:R
1805:/
1802:L
1800:R
1792:)
1787:A
1782:S
1780:R
1778:/
1775:L
1773:R
1766:i
1764:A
1747:.
1735:A
1731:)
1726:S
1722:R
1717:/
1711:L
1707:R
1703:(
1697:+
1694:1
1684:A
1678:=
1671:S
1667:i
1661:L
1657:i
1651:=
1642:A
1625:A
1572:.
1567:i
1563:A
1554:L
1550:R
1546:+
1537:R
1526:R
1511:R
1507:+
1502:S
1498:R
1491:S
1487:R
1481:=
1474:S
1470:i
1464:L
1460:i
1454:=
1445:A
1428:A
1420:i
1418:A
1401:.
1396:i
1392:i
1386:i
1382:A
1373:L
1369:R
1365:+
1356:R
1345:R
1339:=
1334:L
1330:i
1315:L
1313:R
1308:i
1306:i
1300:A
1293:i
1288:S
1286:i
1269:,
1264:S
1260:i
1247:R
1243:+
1238:S
1234:R
1227:S
1223:R
1217:=
1212:i
1208:i
1189:S
1187:i
1182:i
1180:A
1173:R
1166:R
1148:)
1145:L
1143:R
1141:,
1136:R
1129:R
1124:S
1122:R
1117:L
1115:R
1110:S
1108:R
1103:S
1101:i
1076:T
1074:I
1054:τ
1043:j
1034:C
1032:Z
1015:,
1010:T
1006:I
999:R
996:C
990:j
987:+
984:1
980:1
975:=
970:T
966:I
956:C
950:j
946:1
941:+
938:R
932:C
926:j
922:1
916:=
911:R
907:I
863:.
858:T
854:I
843:3
839:R
835:1
830:+
823:2
819:R
815:1
810:+
803:1
799:R
795:1
790:+
783:X
779:R
775:1
766:X
762:R
758:1
752:=
747:T
743:I
735:T
731:Y
725:X
721:Y
715:=
710:X
706:I
691:X
689:I
684:T
682:Y
665:.
660:T
656:I
648:T
644:Y
638:X
634:Y
628:=
623:X
619:I
584:T
582:Z
563:T
559:I
551:X
547:Z
541:T
537:Z
531:=
526:X
522:I
507:X
505:I
488:,
481:n
477:Z
473:1
468:+
462:+
455:2
451:Z
447:1
442:+
435:1
431:Z
427:1
422:=
415:T
411:Z
407:1
370:.
363:n
359:R
355:1
350:+
344:+
337:2
333:R
329:1
324:+
317:1
313:R
309:1
304:=
297:T
293:R
289:1
273:T
271:R
266:2
264:R
259:1
257:R
248:T
246:R
241:T
239:R
234:X
232:R
227:T
225:I
208:,
203:T
199:I
190:T
186:R
182:+
177:X
173:R
166:T
162:R
156:=
151:X
147:I
132:T
130:R
125:X
123:R
118:X
116:I
72:T
70:I
65:X
63:I
61:(
41:.
38:X
36:R
27:T
25:R
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
