Entry Masticola:1995:LFM from toplas.bib
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BibTeX entry
@Article{Masticola:1995:LFM,
author = "Stephen P. Masticola and Thomas J. Marlowe and Barbara
G. Ryder",
title = "Lattice Frameworks for Multisource and Bidirectional
Data Flow Problems",
journal = j-TOPLAS,
volume = "17",
number = "5",
pages = "777--803",
month = sep,
year = "1995",
CODEN = "ATPSDT",
ISSN = "0164-0925 (print), 1558-4593 (electronic)",
ISSN-L = "0164-0925",
bibdate = "Fri Jan 5 07:58:42 MST 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/toplas.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0164-0925/213989.html",
abstract = "{\em Multisource\/} data flow problems involve
information which may enter nodes independently through
different classes of edges. In some cases, dissimilar
meet operations appear to be used for different types
of nodes. These problems include {\em bidirectional\/}
and {\em flow-sensitive\/} problems as well as many
static analyses of concurrent programs with
synchronization. {\em K-tuple frameworks}, a type of
standard data flow framework, provide a natural
encoding for multisource problems using a single meet
operator. Previously, the solution of these problems
has been described as the fixed point of a set of data
flow equations. Using our $k$-tuple representation, we
can access the general results of standard data flow
frameworks concerning convergence time and solution
precision for these problems. We demonstrate this for
the bidirectional component of partial redundancy
suppression and two problems on the program summary
graph. An interesting subclass of $k$-tuple frameworks,
the {\em join-of-meets\/} frameworks, is useful for
reachability problems, especially those stemming from
analyses of explicitly parallel programs. We give
results on function space properties for join-of-meets
frameworks that indicate precise solutions for most of
them will be difficult to obtain.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Programming Languages and
Systems",
keywords = "languages",
subject = "{\bf F.3.2}: Theory of Computation, LOGICS AND
MEANINGS OF PROGRAMS, Semantics of Programming
Languages. {\bf D.3.1}: Software, PROGRAMMING
LANGUAGES, Formal Definitions and Theory. {\bf D.3.4}:
Software, PROGRAMMING LANGUAGES, Processors.",
}
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19(5)685,
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19(5)751,
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20(2)302,
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7(1)159,
7(2)299,
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30(2)8,
31(2)6,
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31(4)14,
32(2)4,
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4(1)21,
4(1)44,
4(2)125,
4(2)226,
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4(4)585,
4(4)601,
4(4)650,
5(3)405,
8(4)577,
9(3)367,
10(2)248,
13(1)21,
16(1)3,
16(3)387,
16(3)456,
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17(2)217,
17(2)394,
17(3)461,
17(5)740,
18(4)355,
18(6)683,
19(4)586,
20(2)302,
20(4)845,
20(5)980,
21(3)627,
29(6)35,
30(6)34,
32(6)23
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4(2)295,
4(3)382,
4(4)527,
5(2)127,
6(4)546,
8(1)109,
9(3)297,
14(1)107,
14(2)201,
15(1)36,
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17(1)47,
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17(2)217,
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28(3)389,
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29(1)2,
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31(3)9,
31(3)10,
31(5)19,
32(1)2,
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32(5)19,
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31(1)1,
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14(1)28
- equation,
4(1)83,
4(2)258,
4(3)496,
14(3)339,
18(1)73,
18(4)477,
19(6)916,
20(5)1067,
21(4)703,
22(5)773,
28(4)747,
30(6)32,
33(3)11
- especially,
4(4)687,
9(3)367,
13(1)150,
31(2)6
- explicitly,
4(4)615,
7(4)501,
9(2)277,
9(4)491,
21(1)11,
33(5)16,
34(1)2
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7(2)270,
7(2)299,
7(2)311,
7(3)359,
7(3)426,
7(4)637,
7(4)656,
8(1)109,
8(1)140,
8(2)185,
8(4)547,
9(1)54,
9(3)408,
9(3)441,
10(1)118,
10(3)470,
10(4)602,
11(4)517,
11(4)650,
12(1)123,
12(1)139,
12(3)429,
13(2)237,
13(2)269,
13(3)315,
13(4)577,
14(1)107,
14(2)147,
14(4)589,
15(1)133,
15(1)206,
15(2)211,
15(4)575,
15(4)681,
16(3)328,
16(3)456,
16(3)605,
16(3)607,
16(3)649,
16(3)1024,
16(4)1081,
16(4)1215,
16(4)1361,
16(5)1411,
16(6)1875,
17(1)47,
17(2)366,
18(6)711,
18(6)730,
19(1)48,
19(2)334,
19(3)427,
19(5)639,
19(5)685,
19(5)751,
19(5)804,
19(6)916,
20(1)1,
20(5)1014,
20(5)1067,
21(1)90,
21(3)527,
22(2)340,
22(3)540,
22(4)701,
22(6)1037,
23(2)105
- fixed,
14(2)147,
16(3)924,
17(1)157,
17(2)181,
18(5)528,
19(1)87,
20(1)51,
22(1)87,
22(3)471,
31(4)15,
34(1)3
- flow-sensitive,
19(1)1,
21(4)848,
23(2)105,
30(2)8,
30(4)18,
32(2)4
- give,
4(3)382,
6(2)159,
9(3)297,
9(3)367,
9(4)491,
13(2)211,
13(2)237,
14(2)201,
14(3)339,
14(4)521,
15(5)771,
16(3)456,
16(3)843,
16(4)1114,
16(4)1117,
16(4)1248,
16(5)1411,
18(2)139,
18(5)519,
18(6)711,
19(1)153,
19(3)427,
19(4)557,
19(5)804,
19(6)1085,
20(1)1,
20(4)724,
20(6)1223,
21(1)90,
21(4)703,
28(2)256,
28(2)290,
29(1)2,
30(1)4,
30(3)12,
31(3)9,
31(3)11,
32(1)3
- include,
4(2)149,
4(2)226,
4(4)552,
4(4)711,
4(4)733,
5(2)127,
8(4)419,
9(2)125,
12(4)643,
13(2)237,
15(4)681,
15(5)771,
16(3)605,
16(5)1472,
16(6)1675,
18(2)139,
19(3)492,
19(5)685,
19(6)992,
19(6)1053,
21(1)138,
21(2)370,
21(3)430,
21(4)848,
21(6)1196,
22(4)673,
22(5)932,
22(6)973,
27(6)1097,
27(6)1147,
28(1)1,
28(4)577,
29(1)2,
30(4)18,
30(5)28,
31(2)7,
32(2)4,
32(3)7
- independently,
4(2)179,
12(4)643,
16(3)370,
16(3)605,
16(6)1875,
20(2)344,
31(4)15
- indicate,
4(4)615,
16(2)175,
16(4)1156,
17(4)561,
17(4)635,
18(1)16,
18(4)477,
19(6)853,
20(1)166,
20(3)635,
20(4)869,
21(2)370,
21(5)1028,
29(5)29,
30(1)4,
31(3)10,
33(6)21,
34(1)4
- interesting,
4(4)585,
14(4)490,
15(1)36,
15(4)735,
16(3)1051,
17(2)293,
19(3)413,
19(3)444,
21(1)90,
27(6)1147,
31(2)8,
31(3)12,
32(5)18,
33(1)3
- involve,
4(4)668,
8(4)524,
13(1)1,
16(3)305,
16(3)524,
16(3)775,
17(4)576,
18(1)73,
20(2)302,
20(5)1014,
22(3)490,
28(5)848,
30(6)33,
32(4)11
- lattice,
11(1)115,
19(5)751,
22(3)540,
26(1)1,
30(6)34
- many,
4(1)21,
4(1)44,
4(1)83,
4(3)455,
4(4)552,
4(4)563,
4(4)687,
7(2)183,
9(2)125,
9(2)235,
9(2)257,
9(3)319,
13(1)21,
13(1)124,
13(2)211,
14(1)1,
14(4)471,
14(4)490,
16(1)35,
16(2)175,
16(3)305,
16(3)387,
16(4)1248,
16(5)1399,
16(5)1411,
16(5)1431,
16(6)1737,
17(1)63,
17(2)181,
18(1)30,
18(1)73,
18(3)254,
18(3)300,
18(5)528,
18(5)615,
19(4)568,
20(1)51,
20(1)208,
20(3)635,
20(6)1111,
20(6)1131,
21(1)138,
21(2)324,
21(3)502,
21(3)527,
21(3)677,
21(4)703,
21(4)747,
22(2)187,
22(2)265,
27(6)1049,
27(6)1216,
27(6)1270,
28(1)70,
28(1)106,
28(2)207,
28(4)747,
30(2)8,
30(3)12,
30(4)18,
30(6)33,
30(6)34,
31(1)3,
31(2)6,
31(3)9,
31(6)20,
32(1)3,
32(5)19,
32(6)22,
33(3)10,
34(1)2,
34(1)3
- may,
4(1)83,
4(2)125,
4(3)382,
4(3)496,
4(4)563,
5(3)405,
6(2)159,
9(3)408,
13(2)181,
14(2)201,
15(4)706,
15(5)876,
16(1)151,
16(3)524,
16(3)607,
16(3)649,
16(3)798,
16(3)1010,
16(3)1024,
16(4)1156,
16(4)1248,
16(5)1431,
16(5)1449,
16(6)1675,
16(6)1699,
17(2)181,
17(2)217,
17(3)448,
17(4)635,
18(1)73,
18(2)109,
18(2)139,
18(6)752,
19(1)48,
19(3)525,
19(4)617,
20(1)208,
20(4)724,
20(4)869,
20(6)1131,
21(1)1,
21(1)11,
21(1)138,
21(3)430,
21(3)502,
21(3)677,
21(6)1196,
22(2)296,
22(2)416,
22(4)701,
27(6)1049,
27(6)1344,
28(2)290,
28(2)331,
28(5)795,
28(5)908,
28(5)942,
30(3)12,
30(4)21,
30(5)29,
31(3)11,
31(5)17,
31(6)20,
31(6)21,
32(1)2,
32(3)9,
32(4)13,
32(4)15,
32(5)17,
32(5)19,
33(3)9
- meet,
4(1)44,
14(1)107,
16(3)872,
16(6)1811,
21(1)46,
21(2)240,
30(4)24,
30(6)33,
32(2)5,
33(1)5
- most,
4(1)21,
4(2)179,
4(4)650,
7(2)183,
7(4)560,
9(2)125,
9(2)164,
9(2)257,
13(1)1,
13(1)21,
13(1)52,
13(2)181,
14(2)127,
14(2)265,
15(5)771,
16(1)35,
16(3)524,
16(3)687,
16(4)1156,
16(4)1319,
16(5)1411,
16(5)1467,
17(4)561,
17(4)600,
18(2)139,
18(4)477,
18(6)659,
18(6)683,
18(6)752,
19(1)7,
19(3)427,
19(4)557,
19(5)804,
20(1)1,
20(2)259,
20(4)869,
21(1)138,
21(2)286,
21(2)324,
21(3)502,
22(1)129,
22(3)431,
22(3)506,
22(4)638,
22(5)816,
22(6)1002,
27(6)1147,
27(6)1344,
28(1)106,
28(4)715,
28(4)747,
29(2)13,
31(1)4,
31(5)17,
32(1)1,
32(3)9,
32(5)18,
33(1)3,
34(1)2
- natural,
13(2)269,
15(4)659,
16(3)687,
16(4)1215,
17(1)1,
18(1)73,
18(2)175,
18(6)711,
20(6)1171,
20(6)1297,
21(4)813,
22(2)224,
26(3)510,
28(3)389,
28(3)429,
29(5)29,
30(2)8,
30(5)29,
31(4)13,
33(5)16
- node,
3(4)508,
9(2)235,
9(3)319,
14(2)201,
14(4)574,
15(4)659,
16(4)1117,
17(3)487,
17(4)600,
18(3)300,
19(4)557,
19(6)1031,
20(5)980,
20(6)1297,
21(2)240,
22(1)1,
22(4)673,
24(4)299,
34(1)5
- obtain,
13(2)237,
14(3)417,
14(4)589,
15(1)133,
16(2)175,
16(3)370,
16(4)1156,
17(2)197,
17(3)431,
17(4)561,
17(4)576,
18(6)659,
19(6)1031,
20(3)635,
22(1)87,
22(6)1002,
23(2)105,
28(4)696,
28(5)908,
30(1)4,
32(1)2,
32(6)24,
33(3)11
- operator,
1(2)161,
3(1)83,
4(1)44,
5(1)122,
7(1)159,
10(2)189,
11(4)598,
13(4)531,
14(4)589,
15(1)133,
15(5)876,
16(3)456,
16(3)577,
16(3)924,
17(2)366,
20(2)302,
20(4)845,
21(3)677,
23(5)603,
27(6)1147,
28(3)429,
28(5)848,
30(3)12
- partial,
10(4)635,
11(4)666,
12(4)643,
14(2)147,
15(3)463,
16(3)924,
16(3)1024,
16(4)1279,
16(6)1875,
18(3)268,
18(6)730,
19(5)685,
20(1)208,
20(2)302,
20(2)436,
20(4)768,
20(6)1297,
21(3)627,
21(5)914,
22(1)1,
22(2)224,
22(5)816,
22(5)932,
22(6)1002,
26(1)191,
26(3)413,
27(6)1147,
28(1)134,
28(4)696,
29(1)3,
30(3)17,
30(4)24,
30(5)27,
30(6)32,
33(6)19,
34(1)3
- point,
4(2)149,
4(4)687,
9(4)491,
14(2)147,
14(4)574,
16(2)175,
16(3)607,
16(3)775,
16(3)924,
16(5)1399,
16(6)1842,
17(1)28,
17(1)157,
17(2)181,
17(4)635,
18(5)564,
18(6)730,
20(6)1297,
21(5)1028,
21(6)1137,
26(5)890,
27(6)1147,
28(1)134,
28(3)476,
28(5)908,
29(5)29,
30(4)21,
31(1)3,
31(4)15,
32(4)11,
32(4)13,
32(5)17,
33(1)2
- precise,
4(1)21,
4(4)733,
15(1)73,
16(5)1467,
17(2)331,
17(4)561,
18(1)73,
18(5)519,
19(1)1,
19(6)992,
20(1)51,
20(1)166,
21(1)90,
21(6)1137,
21(6)1196,
22(2)340,
22(2)416,
23(2)105,
24(1)65,
28(1)175,
30(1)4,
30(2)8,
31(2)6,
32(2)6,
32(4)12,
32(5)18,
33(1)3
- precision,
14(4)574,
15(4)632,
16(2)205,
17(1)28,
17(2)331,
18(4)477,
19(1)1,
19(4)568,
19(5)751,
20(1)166,
20(1)208,
21(4)703,
21(4)848,
23(2)105,
27(4)631,
30(1)4,
31(6)20,
32(6)24,
33(1)3
- previously,
4(4)601,
9(3)319,
13(2)269,
14(2)265,
14(3)417,
16(3)387,
17(2)394,
17(3)461,
17(3)487,
19(6)853,
20(1)1,
20(4)724,
20(5)980,
21(5)1028,
21(6)1196,
22(5)773,
22(5)932,
28(1)106,
30(1)4,
30(4)22,
32(6)23,
33(4)12
- reachability,
34(1)6
- redundancy,
20(6)1297,
21(3)627,
21(6)1251,
22(5)816
- representation,
1(1)27,
2(2)137,
3(1)111,
3(2)126,
4(3)496,
4(4)527,
7(1)1,
7(1)62,
7(2)270,
7(4)560,
9(2)257,
9(3)297,
9(3)319,
9(4)618,
10(1)118,
10(4)555,
11(1)67,
11(1)115,
11(3)418,
12(1)61,
13(4)626,
14(2)127,
14(2)173,
14(4)574,
14(4)589,
15(5)745,
15(5)876,
16(3)775,
16(6)1842,
17(1)85,
17(2)181,
19(1)7,
19(3)427,
19(3)462,
19(3)492,
19(5)639,
20(1)1,
20(4)845,
20(5)980,
21(4)703,
21(4)747,
22(1)129,
27(6)1344,
30(6)32,
31(3)12,
31(6)21,
32(6)23,
34(1)3
- Ryder, Barbara G.,
10(1)1,
23(2)105
- sensitive, flow-,
19(1)1,
21(4)848,
23(2)105,
30(2)8,
30(4)18,
32(2)4
- single,
4(1)44,
4(2)179,
4(3)382,
8(4)419,
9(3)319,
11(4)491,
13(1)150,
13(4)451,
14(1)1,
14(1)107,
14(2)201,
14(4)574,
15(4)632,
16(3)524,
16(3)986,
16(4)1114,
16(4)1117,
16(5)1648,
16(6)1661,
16(6)1768,
16(6)1842,
17(1)63,
17(1)85,
17(3)535,
18(3)235,
18(5)528,
20(1)51,
20(3)483,
20(4)869,
21(1)46,
21(3)627,
21(5)895,
21(5)948,
21(5)977,
21(5)1028,
22(4)583,
22(5)773,
22(5)816,
22(6)1002,
28(1)70,
28(2)331,
30(4)21,
30(4)23,
30(5)28,
30(6)32,
30(6)33,
31(3)12,
31(6)20,
32(3)9,
34(1)5
- solution,
4(1)83,
4(2)258,
4(3)382,
4(4)585,
4(4)601,
5(1)56,
9(2)257,
9(2)277,
10(4)635,
11(4)598,
11(4)666,
14(1)28,
14(2)147,
14(4)521,
15(4)735,
16(3)798,
16(3)939,
16(3)954,
16(4)1097,
16(4)1279,
16(4)1319,
16(5)1399,
16(5)1449,
16(5)1472,
16(5)1543,
16(5)1613,
17(2)293,
17(3)487,
17(3)535,
18(1)30,
18(2)139,
18(4)477,
19(1)48,
19(3)444,
20(1)51,
20(4)869,
20(5)1014,
20(5)1067,
21(3)627,
21(3)677,
21(4)703,
21(4)813,
21(6)1251,
22(3)471,
27(6)1147,
27(6)1270,
28(3)429,
28(3)517,
28(5)848,
30(3)12,
30(4)19,
30(4)22,
30(4)23,
32(4)11,
32(4)14,
33(3)9,
33(3)11,
33(4)12,
34(1)2,
34(1)3
- space,
1(2)287,
4(2)179,
9(2)164,
11(1)90,
13(1)1,
14(2)201,
15(5)876,
16(3)370,
16(4)1248,
16(4)1361,
17(1)123,
17(1)157,
17(4)635,
17(4)672,
18(3)325,
18(4)477,
19(3)462,
19(6)992,
20(2)302,
20(2)344,
20(4)869,
20(6)1195,
20(6)1223,
21(1)138,
21(4)813,
22(1)129,
22(2)296,
22(4)673,
24(4)409,
27(3)388,
28(2)290,
28(5)942,
29(1)2,
30(3)17,
30(5)28,
31(1)3,
31(2)8,
31(6)21,
32(4)11,
32(4)12,
32(4)13,
34(1)3
- standard,
4(1)113,
4(2)239,
9(4)491,
10(2)189,
13(1)124,
13(2)269,
14(2)127,
14(2)265,
15(2)211,
16(3)649,
16(4)1117,
16(4)1248,
16(5)1411,
16(6)1699,
17(2)366,
18(1)73,
18(2)109,
18(2)139,
18(3)254,
18(3)268,
18(3)325,
18(4)355,
18(5)519,
19(3)413,
19(4)586,
20(2)259,
20(2)302,
20(3)483,
20(4)707,
20(4)724,
20(6)1171,
20(6)1265,
21(3)430,
21(4)790,
21(4)813,
21(5)914,
21(6)1196,
22(1)129,
22(4)638,
22(4)701,
28(2)207,
28(5)908,
29(5)29,
30(4)21,
30(5)25,
30(5)28,
31(3)12,
31(5)18,
34(1)2,
34(1)3,
34(1)4
- stemming,
21(3)502
- summary,
28(1)70,
32(2)5
- suppression,
10(4)635,
11(4)666,
16(4)1156,
32(5)17
- synchronization,
4(2)125,
4(3)455,
6(2)215,
7(3)404,
7(4)622,
9(1)25,
10(4)579,
11(1)90,
11(3)404,
11(4)585,
12(2)178,
13(1)99,
13(1)124,
13(4)558,
14(1)28,
14(2)201,
15(4)735,
15(5)745,
15(5)771,
16(3)577,
16(3)939,
16(3)954,
16(6)1719,
17(3)535,
17(4)600,
18(3)268,
18(4)454,
19(5)804,
20(1)51,
21(3)569,
22(2)416,
22(4)673,
25(3)316,
25(6)876,
27(6)1270,
28(1)1,
28(2)207,
28(4)715,
30(4)20,
31(1)1,
34(1)4
- through,
4(1)44,
4(3)496,
5(3)405,
5(4)641,
6(4)505,
6(4)527,
8(1)109,
9(2)164,
9(3)297,
11(4)598,
12(1)135,
13(1)99,
13(2)181,
14(2)173,
14(3)339,
15(4)735,
16(2)205,
16(2)259,
16(3)577,
16(3)954,
16(4)1248,
16(6)1842,
18(1)16,
18(2)139,
18(5)528,
18(6)752,
19(5)804,
20(1)208,
20(4)869,
20(6)1131,
21(2)189,
21(3)430,
21(5)1028,
21(6)1077,
21(6)1137,
22(2)265,
22(3)490,
22(5)861,
28(4)747,
28(5)848,
28(5)942,
29(2)9,
29(2)10,
30(4)18,
30(4)22,
30(6)32,
31(2)6,
31(4)14,
32(4)11,
32(4)13,
32(4)14,
32(5)17,
32(6)23,
33(3)11
- tuple,
3(3)251,
21(3)527,
31(3)10
- useful,
4(4)527,
4(4)668,
4(4)678,
4(4)687,
6(4)527,
9(2)125,
9(3)297,
9(4)473,
14(2)127,
14(3)299,
15(4)659,
16(3)649,
16(3)798,
16(6)1699,
17(1)63,
17(4)561,
17(4)600,
18(1)73,
18(5)564,
19(3)462,
19(4)617,
19(6)853,
20(3)546,
20(6)1223,
21(3)677,
21(4)790,
21(5)914,
22(2)296,
22(3)540,
30(4)18,
30(4)21,
31(2)7,
31(3)9,
31(6)21,
32(1)2,
32(3)7,
32(3)8,
32(3)9,
32(4)11,
32(6)23,
34(1)3
- well,
4(2)125,
4(2)258,
4(4)687,
7(1)159,
9(2)125,
12(4)643,
13(1)52,
13(1)99,
14(2)265,
15(1)1,
15(4)659,
16(3)305,
16(4)1081,
16(4)1097,
16(4)1319,
16(5)1399,
16(6)1875,
17(1)28,
17(1)85,
17(2)197,
17(5)740,
19(3)413,
19(4)568,
19(6)992,
19(6)1053,
20(1)208,
20(2)344,
20(3)483,
20(3)546,
20(4)707,
21(1)1,
21(3)430,
21(4)703,
21(4)747,
21(5)948,
22(2)187,
28(1)175,
30(4)19,
30(4)20,
30(5)25,
31(3)10,
31(3)12,
33(1)5,
33(5)16,
34(1)3,
34(1)4
- will,
4(3)382,
5(2)223,
8(4)547,
9(4)491,
10(2)248,
13(1)1,
15(5)745,
16(3)872,
16(3)1010,
16(3)1024,
16(4)1248,
16(6)1675,
18(5)615,
19(1)188,
19(4)586,
20(4)869,
21(1)46,
21(2)240,
21(3)430,
21(4)813,
22(2)265,
22(5)816,
29(1)2,
31(3)10,
32(5)16,
34(1)1