Delta-rational triads in small edos

Shown below are approximate DR triads in edos < 31 with symmetric least-squared error < 0.05. All delta signatures are in the 3-integer limit.

Edo	Steps	Delta signature	Naive LS error	Symmetric LS error
6	0, 2, 5	+1+2	0.0006	0.0026
6	0, 4, 5	+3+1	0.0008	0.0044
7	0, 1, 2	+1+1	0.0048	0.0449
7	0, 2, 5	+1+2	0.0052	0.0247
7	0, 4, 5	+3+1	0.0044	0.0277
7	0, 4, 6	+3+2	0.0007	0.0047
8	0, 1, 2	+1+1	0.0037	0.0392
8	0, 4, 7	+1+1	0.0025	0.0065
8	0, 2, 5	+1+2	0.0080	0.0450
8	0, 5, 7	+2+1	0.0115	0.0432
8	0, 4, 5	+3+1	0.0060	0.0447
8	0, 4, 6	+3+2	0.0044	0.0325
9	0, 1, 2	+1+1	0.0029	0.0348
9	0, 4, 7	+1+1	0.0032	0.0094
9	0, 5, 7	+2+1	0.0055	0.0238
10	0, 1, 2	+1+1	0.0023	0.0313
10	0, 4, 7	+1+1	0.0065	0.0217
10	0, 5, 9	+1+1	0.0168	0.0427
10	0, 2, 7	+1+3	0.0072	0.0468
10	0, 5, 7	+2+1	0.0018	0.0087
10	0, 6, 9	+3+2	0.0034	0.0197
11	0, 1, 2	+1+1	0.0019	0.0284
11	0, 4, 7	+1+1	0.0085	0.0315
11	0, 5, 9	+1+1	0.0101	0.0283
11	0, 6, 10	+1+1	0.0184	0.0454
11	0, 3, 8	+1+2	0.0099	0.0465
11	0, 4, 10	+1+2	0.0057	0.0202
11	0, 2, 7	+1+3	0.0042	0.0304
11	0, 5, 7	+2+1	0.0006	0.0034
11	0, 8, 10	+3+1	0.0023	0.0108
11	0, 6, 9	+3+2	0.0013	0.0089
12	0, 1, 2	+1+1	0.0016	0.0260
12	0, 4, 7	+1+1	0.0096	0.0395
12	0, 5, 9	+1+1	0.0054	0.0168
12	0, 3, 8	+1+2	0.0063	0.0327
12	0, 4, 10	+1+2	0.0006	0.0026
12	0, 2, 7	+1+3	0.0021	0.0166
12	0, 3, 10	+1+3	0.0061	0.0316
12	0, 2, 3	+2+1	0.0031	0.0490
12	0, 5, 7	+2+1	0.0022	0.0133
12	0, 8, 11	+2+1	0.0037	0.0130
12	0, 8, 10	+3+1	0.0008	0.0044
12	0, 6, 9	+3+2	0.0044	0.0325
13	0, 1, 2	+1+1	0.0013	0.0240
13	0, 2, 4	+1+1	0.0057	0.0485
13	0, 4, 7	+1+1	0.0103	0.0462
13	0, 5, 9	+1+1	0.0022	0.0074
13	0, 7, 12	+1+1	0.0039	0.0095
13	0, 3, 8	+1+2	0.0037	0.0210
13	0, 4, 10	+1+2	0.0028	0.0122
13	0, 5, 12	+1+2	0.0064	0.0225
13	0, 2, 7	+1+3	0.0006	0.0050
13	0, 3, 10	+1+3	0.0026	0.0147
13	0, 2, 3	+2+1	0.0026	0.0452
13	0, 5, 7	+2+1	0.0032	0.0217
13	0, 8, 11	+2+1	0.0001	0.0005
13	0, 8, 10	+3+1	0.0030	0.0170
13	0, 8, 12	+3+2	0.0049	0.0279
14	0, 1, 2	+1+1	0.0012	0.0223
14	0, 2, 4	+1+1	0.0048	0.0449
14	0, 5, 9	+1+1	0.0002	0.0006
14	0, 6, 11	+1+1	0.0144	0.0426
14	0, 7, 12	+1+1	0.0076	0.0201
14	0, 1, 3	+1+2	0.0025	0.0469
14	0, 3, 8	+1+2	0.0018	0.0111
14	0, 4, 10	+1+2	0.0052	0.0247
14	0, 5, 12	+1+2	0.0099	0.0377
14	0, 2, 7	+1+3	0.0005	0.0050
14	0, 3, 10	+1+3	0.0000	0.0002
14	0, 4, 13	+1+3	0.0066	0.0301
14	0, 2, 3	+2+1	0.0022	0.0419
14	0, 5, 7	+2+1	0.0039	0.0287
14	0, 8, 11	+2+1	0.0028	0.0119
14	0, 4, 9	+2+3	0.0052	0.0464
14	0, 7, 9	+3+1	0.0055	0.0397
14	0, 8, 10	+3+1	0.0044	0.0277
14	0, 8, 12	+3+2	0.0007	0.0047
15	0, 1, 2	+1+1	0.0010	0.0208
15	0, 2, 4	+1+1	0.0042	0.0419
15	0, 5, 9	+1+1	0.0018	0.0074
15	0, 6, 11	+1+1	0.0105	0.0336
15	0, 7, 12	+1+1	0.0102	0.0291
15	0, 8, 14	+1+1	0.0068	0.0164
15	0, 1, 3	+1+2	0.0022	0.0437
15	0, 3, 8	+1+2	0.0004	0.0025
15	0, 4, 10	+1+2	0.0069	0.0355
15	0, 2, 7	+1+3	0.0013	0.0137
15	0, 3, 10	+1+3	0.0018	0.0123
15	0, 4, 13	+1+3	0.0028	0.0137
15	0, 2, 3	+2+1	0.0019	0.0391
15	0, 5, 7	+2+1	0.0044	0.0348
15	0, 7, 10	+2+1	0.0081	0.0423
15	0, 8, 11	+2+1	0.0047	0.0216
15	0, 3, 7	+2+3	0.0038	0.0498
15	0, 4, 9	+2+3	0.0030	0.0296
15	0, 5, 11	+2+3	0.0047	0.0359
15	0, 7, 9	+3+1	0.0039	0.0306
15	0, 8, 10	+3+1	0.0054	0.0368
15	0, 8, 12	+3+2	0.0022	0.0152
16	0, 1, 2	+1+1	0.0009	0.0195
16	0, 2, 4	+1+1	0.0037	0.0392
16	0, 5, 9	+1+1	0.0031	0.0132
16	0, 6, 11	+1+1	0.0075	0.0259
16	0, 7, 12	+1+1	0.0119	0.0368
16	0, 8, 14	+1+1	0.0025	0.0065
16	0, 9, 15	+1+1	0.0172	0.0410
16	0, 1, 3	+1+2	0.0019	0.0410
16	0, 3, 8	+1+2	0.0007	0.0050
16	0, 4, 10	+1+2	0.0080	0.0450
16	0, 5, 13	+1+2	0.0097	0.0398
16	0, 6, 15	+1+2	0.0078	0.0268
16	0, 2, 7	+1+3	0.0019	0.0213
16	0, 3, 10	+1+3	0.0031	0.0233
16	0, 4, 13	+1+3	0.0001	0.0008
16	0, 2, 3	+2+1	0.0017	0.0366
16	0, 5, 7	+2+1	0.0047	0.0401
16	0, 7, 10	+2+1	0.0060	0.0340
16	0, 8, 11	+2+1	0.0060	0.0300
16	0, 10, 14	+2+1	0.0115	0.0432
16	0, 11, 15	+2+1	0.0003	0.0010
16	0, 3, 7	+2+3	0.0027	0.0384
16	0, 4, 9	+2+3	0.0014	0.0149
16	0, 5, 11	+2+3	0.0022	0.0179
16	0, 6, 13	+2+3	0.0053	0.0352
16	0, 7, 9	+3+1	0.0027	0.0228
16	0, 8, 10	+3+1	0.0060	0.0447
16	0, 12, 15	+3+1	0.0037	0.0166
16	0, 8, 12	+3+2	0.0044	0.0325
16	0, 10, 15	+3+2	0.0059	0.0330
17	0, 1, 2	+1+1	0.0008	0.0183
17	0, 2, 4	+1+1	0.0032	0.0369
17	0, 5, 9	+1+1	0.0040	0.0184
17	0, 6, 11	+1+1	0.0052	0.0192
17	0, 7, 12	+1+1	0.0132	0.0434
17	0, 8, 14	+1+1	0.0007	0.0020
17	0, 9, 15	+1+1	0.0194	0.0494
17	0, 9, 16	+1+1	0.0149	0.0360
17	0, 1, 3	+1+2	0.0017	0.0386
17	0, 3, 8	+1+2	0.0015	0.0116
17	0, 5, 13	+1+2	0.0065	0.0288
17	0, 6, 15	+1+2	0.0038	0.0139
17	0, 2, 7	+1+3	0.0023	0.0281
17	0, 3, 10	+1+3	0.0041	0.0331
17	0, 4, 13	+1+3	0.0023	0.0135
17	0, 5, 16	+1+3	0.0038	0.0168
17	0, 2, 3	+2+1	0.0015	0.0344
17	0, 5, 7	+2+1	0.0049	0.0447
17	0, 7, 10	+2+1	0.0044	0.0267
17	0, 8, 11	+2+1	0.0070	0.0373
17	0, 10, 14	+2+1	0.0081	0.0328
17	0, 11, 15	+2+1	0.0031	0.0114
17	0, 12, 16	+2+1	0.0148	0.0499
17	0, 3, 7	+2+3	0.0019	0.0284
17	0, 4, 9	+2+3	0.0002	0.0020
17	0, 5, 11	+2+3	0.0002	0.0021
17	0, 6, 13	+2+3	0.0023	0.0164
17	0, 7, 15	+2+3	0.0065	0.0394
17	0, 3, 4	+3+1	0.0022	0.0500
17	0, 7, 9	+3+1	0.0018	0.0160
17	0, 11, 14	+3+1	0.0091	0.0483
17	0, 12, 15	+3+1	0.0011	0.0054
17	0, 13, 16	+3+1	0.0072	0.0318
17	0, 8, 12	+3+2	0.0060	0.0476
17	0, 10, 15	+3+2	0.0022	0.0135
18	0, 1, 2	+1+1	0.0007	0.0173
18	0, 2, 4	+1+1	0.0029	0.0348
18	0, 5, 9	+1+1	0.0047	0.0229
18	0, 6, 11	+1+1	0.0034	0.0134
18	0, 7, 12	+1+1	0.0140	0.0493
18	0, 7, 13	+1+1	0.0138	0.0452
18	0, 8, 14	+1+1	0.0032	0.0094
18	0, 9, 16	+1+1	0.0104	0.0267
18	0, 10, 17	+1+1	0.0067	0.0160
18	0, 1, 3	+1+2	0.0015	0.0365
18	0, 3, 8	+1+2	0.0021	0.0174
18	0, 5, 13	+1+2	0.0040	0.0191
18	0, 6, 15	+1+2	0.0006	0.0026
18	0, 7, 17	+1+2	0.0012	0.0040
18	0, 2, 7	+1+3	0.0026	0.0341
18	0, 3, 10	+1+3	0.0049	0.0417
18	0, 4, 13	+1+3	0.0040	0.0248
18	0, 5, 16	+1+3	0.0006	0.0028
18	0, 2, 3	+2+1	0.0013	0.0325
18	0, 5, 7	+2+1	0.0051	0.0488
18	0, 7, 10	+2+1	0.0031	0.0204
18	0, 8, 11	+2+1	0.0076	0.0437
18	0, 10, 14	+2+1	0.0055	0.0238
18	0, 11, 15	+2+1	0.0052	0.0205
18	0, 3, 7	+2+3	0.0012	0.0194
18	0, 4, 9	+2+3	0.0008	0.0095
18	0, 5, 11	+2+3	0.0013	0.0120
18	0, 6, 13	+2+3	0.0000	0.0002
18	0, 7, 15	+2+3	0.0031	0.0201
18	0, 8, 17	+2+3	0.0083	0.0461
18	0, 3, 4	+3+1	0.0019	0.0472
18	0, 7, 9	+3+1	0.0010	0.0099
18	0, 11, 14	+3+1	0.0067	0.0386
18	0, 12, 15	+3+1	0.0008	0.0044
18	0, 13, 16	+3+1	0.0087	0.0417
18	0, 5, 8	+3+2	0.0036	0.0497
18	0, 10, 15	+3+2	0.0006	0.0036
19	0, 1, 2	+1+1	0.0006	0.0164
19	0, 2, 4	+1+1	0.0026	0.0330
19	0, 3, 6	+1+1	0.0060	0.0498
19	0, 5, 9	+1+1	0.0052	0.0269
19	0, 6, 11	+1+1	0.0020	0.0082
19	0, 7, 13	+1+1	0.0112	0.0387
19	0, 8, 14	+1+1	0.0050	0.0159
19	0, 9, 16	+1+1	0.0069	0.0187
19	0, 10, 17	+1+1	0.0095	0.0239
19	0, 1, 3	+1+2	0.0013	0.0345
19	0, 3, 8	+1+2	0.0026	0.0227
19	0, 4, 11	+1+2	0.0071	0.0439
19	0, 5, 13	+1+2	0.0021	0.0104
19	0, 6, 15	+1+2	0.0018	0.0075
19	0, 7, 17	+1+2	0.0043	0.0155
19	0, 2, 7	+1+3	0.0029	0.0394
19	0, 3, 10	+1+3	0.0054	0.0495
19	0, 4, 13	+1+3	0.0052	0.0349
19	0, 5, 16	+1+3	0.0019	0.0097
19	0, 2, 3	+2+1	0.0012	0.0307
19	0, 7, 10	+2+1	0.0021	0.0147
19	0, 8, 11	+2+1	0.0081	0.0494
19	0, 10, 14	+2+1	0.0034	0.0158
19	0, 11, 15	+2+1	0.0068	0.0285
19	0, 13, 18	+2+1	0.0101	0.0342
19	0, 3, 7	+2+3	0.0007	0.0115
19	0, 4, 9	+2+3	0.0015	0.0197
19	0, 5, 11	+2+3	0.0024	0.0245
19	0, 6, 13	+2+3	0.0018	0.0151
19	0, 7, 15	+2+3	0.0004	0.0028
19	0, 8, 17	+2+3	0.0045	0.0264
19	0, 3, 4	+3+1	0.0017	0.0446
19	0, 7, 9	+3+1	0.0004	0.0045
19	0, 11, 14	+3+1	0.0049	0.0300
19	0, 12, 15	+3+1	0.0023	0.0130
19	0, 5, 8	+3+2	0.0028	0.0413
19	0, 7, 11	+3+2	0.0046	0.0466
19	0, 10, 15	+3+2	0.0027	0.0189
19	0, 12, 18	+3+2	0.0066	0.0365
20	0, 1, 2	+1+1	0.0006	0.0156
20	0, 2, 4	+1+1	0.0023	0.0313
20	0, 3, 6	+1+1	0.0054	0.0472
20	0, 5, 9	+1+1	0.0055	0.0305
20	0, 6, 11	+1+1	0.0008	0.0036
20	0, 7, 13	+1+1	0.0090	0.0330
20	0, 8, 14	+1+1	0.0065	0.0217
20	0, 9, 16	+1+1	0.0040	0.0116
20	0, 10, 17	+1+1	0.0116	0.0310
20	0, 10, 18	+1+1	0.0168	0.0427
20	0, 11, 19	+1+1	0.0017	0.0039
20	0, 1, 3	+1+2	0.0012	0.0328
20	0, 3, 8	+1+2	0.0029	0.0274
20	0, 4, 11	+1+2	0.0057	0.0374
20	0, 5, 13	+1+2	0.0005	0.0026
20	0, 6, 15	+1+2	0.0037	0.0166
20	0, 7, 17	+1+2	0.0067	0.0259
20	0, 7, 18	+1+2	0.0134	0.0485
20	0, 8, 19	+1+2	0.0084	0.0283
20	0, 2, 7	+1+3	0.0030	0.0443
20	0, 4, 13	+1+3	0.0062	0.0440
20	0, 4, 14	+1+3	0.0072	0.0468
20	0, 5, 16	+1+3	0.0038	0.0209
20	0, 6, 19	+1+3	0.0018	0.0078
20	0, 2, 3	+2+1	0.0011	0.0292
20	0, 7, 10	+2+1	0.0013	0.0096
20	0, 10, 14	+2+1	0.0018	0.0087
20	0, 11, 15	+2+1	0.0080	0.0357
20	0, 13, 18	+2+1	0.0068	0.0247
20	0, 14, 19	+2+1	0.0027	0.0091
20	0, 3, 7	+2+3	0.0002	0.0043
20	0, 4, 9	+2+3	0.0021	0.0290
20	0, 5, 11	+2+3	0.0033	0.0358
20	0, 6, 13	+2+3	0.0032	0.0285
20	0, 7, 15	+2+3	0.0017	0.0127
20	0, 8, 17	+2+3	0.0014	0.0087
20	0, 9, 19	+2+3	0.0062	0.0341
20	0, 3, 4	+3+1	0.0016	0.0424
20	0, 7, 9	+3+1	0.0000	0.0003
20	0, 11, 14	+3+1	0.0034	0.0223
20	0, 12, 15	+3+1	0.0035	0.0208
20	0, 5, 8	+3+2	0.0021	0.0337
20	0, 7, 11	+3+2	0.0033	0.0362
20	0, 10, 15	+3+2	0.0044	0.0325
20	0, 12, 18	+3+2	0.0034	0.0197
20	0, 13, 19	+3+2	0.0086	0.0468
21	0, 1, 2	+1+1	0.0005	0.0148
21	0, 2, 4	+1+1	0.0021	0.0298
21	0, 3, 6	+1+1	0.0048	0.0449
21	0, 5, 9	+1+1	0.0058	0.0338
21	0, 6, 11	+1+1	0.0001	0.0006
21	0, 7, 13	+1+1	0.0072	0.0278
21	0, 8, 14	+1+1	0.0076	0.0268
21	0, 9, 16	+1+1	0.0018	0.0054
21	0, 10, 17	+1+1	0.0132	0.0372
21	0, 10, 18	+1+1	0.0131	0.0351
21	0, 11, 19	+1+1	0.0015	0.0036
21	0, 12, 20	+1+1	0.0165	0.0387
21	0, 1, 3	+1+2	0.0011	0.0313
21	0, 3, 8	+1+2	0.0032	0.0317
21	0, 4, 11	+1+2	0.0045	0.0315
21	0, 5, 13	+1+2	0.0008	0.0044
21	0, 6, 15	+1+2	0.0052	0.0247
21	0, 7, 17	+1+2	0.0086	0.0351
21	0, 7, 18	+1+2	0.0100	0.0385
21	0, 8, 19	+1+2	0.0109	0.0388
21	0, 8, 20	+1+2	0.0090	0.0303
21	0, 1, 4	+1+3	0.0017	0.0477
21	0, 2, 7	+1+3	0.0032	0.0486
21	0, 3, 11	+1+3	0.0052	0.0478
21	0, 4, 14	+1+3	0.0055	0.0382
21	0, 5, 16	+1+3	0.0053	0.0311
21	0, 5, 17	+1+3	0.0085	0.0459
21	0, 6, 19	+1+3	0.0009	0.0043
21	0, 2, 3	+2+1	0.0010	0.0278
21	0, 7, 10	+2+1	0.0007	0.0051
21	0, 10, 14	+2+1	0.0004	0.0023
21	0, 11, 15	+2+1	0.0088	0.0421
21	0, 13, 18	+2+1	0.0042	0.0163
21	0, 14, 19	+2+1	0.0049	0.0176
21	0, 15, 20	+2+1	0.0144	0.0480
21	0, 3, 7	+2+3	0.0001	0.0022
21	0, 4, 9	+2+3	0.0026	0.0373
21	0, 5, 11	+2+3	0.0040	0.0460
21	0, 6, 13	+2+3	0.0043	0.0406
21	0, 7, 15	+2+3	0.0034	0.0266
21	0, 8, 17	+2+3	0.0011	0.0072
21	0, 9, 19	+2+3	0.0028	0.0162
21	0, 3, 4	+3+1	0.0014	0.0403
21	0, 7, 9	+3+1	0.0004	0.0046
21	0, 11, 14	+3+1	0.0022	0.0155
21	0, 12, 15	+3+1	0.0044	0.0277
21	0, 16, 20	+3+1	0.0045	0.0196
21	0, 5, 8	+3+2	0.0016	0.0269
21	0, 7, 11	+3+2	0.0023	0.0269
21	0, 9, 14	+3+2	0.0056	0.0483
21	0, 10, 15	+3+2	0.0057	0.0448
21	0, 12, 18	+3+2	0.0007	0.0047
22	0, 1, 2	+1+1	0.0005	0.0141
22	0, 2, 4	+1+1	0.0019	0.0284
22	0, 3, 6	+1+1	0.0044	0.0429
22	0, 5, 9	+1+1	0.0060	0.0367
22	0, 6, 11	+1+1	0.0009	0.0043
22	0, 7, 13	+1+1	0.0057	0.0232
22	0, 8, 14	+1+1	0.0085	0.0315
22	0, 8, 15	+1+1	0.0138	0.0481
22	0, 9, 16	+1+1	0.0001	0.0003
22	0, 10, 17	+1+1	0.0144	0.0428
22	0, 10, 18	+1+1	0.0101	0.0283
22	0, 11, 19	+1+1	0.0039	0.0104
22	0, 12, 20	+1+1	0.0184	0.0454
22	0, 12, 21	+1+1	0.0085	0.0201
22	0, 1, 3	+1+2	0.0010	0.0298
22	0, 3, 8	+1+2	0.0034	0.0355
22	0, 4, 11	+1+2	0.0036	0.0261
22	0, 5, 13	+1+2	0.0018	0.0108
22	0, 6, 15	+1+2	0.0064	0.0321
22	0, 6, 16	+1+2	0.0099	0.0465
22	0, 7, 17	+1+2	0.0100	0.0435
22	0, 7, 18	+1+2	0.0072	0.0295
22	0, 8, 19	+1+2	0.0128	0.0482
22	0, 8, 20	+1+2	0.0057	0.0202
22	0, 9, 21	+1+2	0.0144	0.0481
22	0, 1, 4	+1+3	0.0015	0.0455
22	0, 3, 11	+1+3	0.0043	0.0418
22	0, 4, 14	+1+3	0.0042	0.0304
22	0, 5, 16	+1+3	0.0065	0.0404
22	0, 5, 17	+1+3	0.0063	0.0363
22	0, 6, 19	+1+3	0.0031	0.0154
22	0, 2, 3	+2+1	0.0009	0.0265
22	0, 7, 10	+2+1	0.0001	0.0010
22	0, 9, 13	+2+1	0.0080	0.0485
22	0, 10, 14	+2+1	0.0006	0.0034
22	0, 11, 15	+2+1	0.0095	0.0478
22	0, 12, 17	+2+1	0.0107	0.0469
22	0, 13, 18	+2+1	0.0022	0.0088
22	0, 14, 19	+2+1	0.0067	0.0251
22	0, 3, 7	+2+3	0.0004	0.0081
22	0, 4, 9	+2+3	0.0029	0.0449
22	0, 7, 15	+2+3	0.0047	0.0393
22	0, 8, 17	+2+3	0.0030	0.0216
22	0, 9, 19	+2+3	0.0000	0.0000
22	0, 10, 21	+2+3	0.0045	0.0244
22	0, 3, 4	+3+1	0.0013	0.0384
22	0, 7, 9	+3+1	0.0007	0.0085
22	0, 11, 14	+3+1	0.0013	0.0093
22	0, 12, 15	+3+1	0.0051	0.0339
22	0, 15, 19	+3+1	0.0084	0.0423
22	0, 16, 20	+3+1	0.0023	0.0108
22	0, 17, 21	+3+1	0.0040	0.0175
22	0, 5, 8	+3+2	0.0012	0.0207
22	0, 7, 11	+3+2	0.0015	0.0184
22	0, 9, 14	+3+2	0.0041	0.0374
22	0, 12, 18	+3+2	0.0013	0.0089
22	0, 14, 21	+3+2	0.0072	0.0391
23	0, 1, 2	+1+1	0.0004	0.0135
23	0, 2, 4	+1+1	0.0017	0.0272
23	0, 3, 6	+1+1	0.0040	0.0410
23	0, 5, 9	+1+1	0.0061	0.0394
23	0, 6, 11	+1+1	0.0015	0.0077
23	0, 7, 13	+1+1	0.0044	0.0190
23	0, 8, 14	+1+1	0.0091	0.0357
23	0, 8, 15	+1+1	0.0117	0.0431
23	0, 9, 16	+1+1	0.0016	0.0053
23	0, 10, 17	+1+1	0.0153	0.0478
23	0, 10, 18	+1+1	0.0075	0.0223
23	0, 11, 19	+1+1	0.0059	0.0164
23	0, 11, 20	+1+1	0.0183	0.0484
23	0, 12, 21	+1+1	0.0052	0.0129
23	0, 13, 22	+1+1	0.0083	0.0195
23	0, 1, 3	+1+2	0.0009	0.0285
23	0, 3, 8	+1+2	0.0036	0.0391
23	0, 4, 11	+1+2	0.0028	0.0213
23	0, 5, 13	+1+2	0.0026	0.0166
23	0, 6, 15	+1+2	0.0073	0.0388
23	0, 6, 16	+1+2	0.0079	0.0393
23	0, 7, 18	+1+2	0.0050	0.0213
23	0, 8, 20	+1+2	0.0029	0.0109
23	0, 9, 22	+1+2	0.0019	0.0062
23	0, 1, 4	+1+3	0.0014	0.0435
23	0, 3, 11	+1+3	0.0035	0.0362
23	0, 4, 14	+1+3	0.0030	0.0232
23	0, 5, 16	+1+3	0.0075	0.0488
23	0, 5, 17	+1+3	0.0045	0.0275
23	0, 6, 19	+1+3	0.0048	0.0254
23	0, 6, 20	+1+3	0.0083	0.0412
23	0, 7, 22	+1+3	0.0003	0.0013
23	0, 2, 3	+2+1	0.0008	0.0253
23	0, 7, 10	+2+1	0.0003	0.0028
23	0, 9, 13	+2+1	0.0068	0.0433
23	0, 10, 14	+2+1	0.0015	0.0086
23	0, 12, 17	+2+1	0.0087	0.0401
23	0, 13, 18	+2+1	0.0005	0.0020
23	0, 14, 19	+2+1	0.0080	0.0320
23	0, 16, 22	+2+1	0.0062	0.0208
23	0, 3, 7	+2+3	0.0006	0.0134
23	0, 8, 17	+2+3	0.0046	0.0347
23	0, 9, 19	+2+3	0.0023	0.0148
23	0, 10, 21	+2+3	0.0014	0.0080
23	0, 3, 4	+3+1	0.0012	0.0367
23	0, 7, 9	+3+1	0.0009	0.0121
23	0, 11, 14	+3+1	0.0005	0.0037
23	0, 12, 15	+3+1	0.0056	0.0396
23	0, 15, 19	+3+1	0.0065	0.0344
23	0, 16, 20	+3+1	0.0006	0.0028
23	0, 17, 21	+3+1	0.0055	0.0255
23	0, 5, 8	+3+2	0.0008	0.0151
23	0, 7, 11	+3+2	0.0008	0.0107
23	0, 9, 14	+3+2	0.0029	0.0276
23	0, 12, 18	+3+2	0.0030	0.0213
23	0, 14, 21	+3+2	0.0042	0.0244
23	0, 15, 22	+3+2	0.0061	0.0331
24	0, 1, 2	+1+1	0.0004	0.0130
24	0, 2, 4	+1+1	0.0016	0.0260
24	0, 3, 6	+1+1	0.0037	0.0392
24	0, 5, 9	+1+1	0.0062	0.0418
24	0, 6, 11	+1+1	0.0020	0.0108
24	0, 7, 13	+1+1	0.0034	0.0152
24	0, 8, 14	+1+1	0.0096	0.0395
24	0, 8, 15	+1+1	0.0100	0.0385
24	0, 9, 16	+1+1	0.0028	0.0099
24	0, 10, 18	+1+1	0.0054	0.0168
24	0, 11, 19	+1+1	0.0075	0.0218
24	0, 11, 20	+1+1	0.0152	0.0419
24	0, 12, 21	+1+1	0.0025	0.0065
24	0, 13, 22	+1+1	0.0105	0.0259
24	0, 13, 23	+1+1	0.0142	0.0335
24	0, 1, 3	+1+2	0.0008	0.0274
24	0, 3, 8	+1+2	0.0037	0.0423
24	0, 4, 11	+1+2	0.0021	0.0168
24	0, 5, 13	+1+2	0.0033	0.0219
24	0, 6, 15	+1+2	0.0080	0.0450
24	0, 6, 16	+1+2	0.0063	0.0327
24	0, 7, 18	+1+2	0.0030	0.0138
24	0, 8, 20	+1+2	0.0006	0.0026
24	0, 9, 22	+1+2	0.0009	0.0031
24	0, 1, 4	+1+3	0.0013	0.0417
24	0, 3, 11	+1+3	0.0029	0.0311
24	0, 4, 14	+1+3	0.0021	0.0166
24	0, 5, 17	+1+3	0.0030	0.0194
24	0, 6, 19	+1+3	0.0062	0.0347
24	0, 6, 20	+1+3	0.0061	0.0316
24	0, 7, 22	+1+3	0.0021	0.0095
24	0, 7, 23	+1+3	0.0114	0.0497
24	0, 2, 3	+2+1	0.0007	0.0243
24	0, 4, 6	+2+1	0.0031	0.0490
24	0, 7, 10	+2+1	0.0007	0.0062
24	0, 9, 13	+2+1	0.0058	0.0387
24	0, 10, 14	+2+1	0.0022	0.0133
24	0, 12, 17	+2+1	0.0070	0.0340
24	0, 13, 18	+2+1	0.0009	0.0042
24	0, 14, 19	+2+1	0.0091	0.0381
24	0, 15, 21	+2+1	0.0115	0.0432
24	0, 16, 22	+2+1	0.0037	0.0130
24	0, 17, 23	+2+1	0.0043	0.0144
24	0, 3, 7	+2+3	0.0008	0.0184
24	0, 8, 17	+2+3	0.0059	0.0468
24	0, 9, 19	+2+3	0.0041	0.0282
24	0, 10, 21	+2+3	0.0011	0.0070
24	0, 11, 23	+2+3	0.0030	0.0164
24	0, 3, 4	+3+1	0.0011	0.0352
24	0, 7, 9	+3+1	0.0011	0.0154
24	0, 10, 13	+3+1	0.0055	0.0491
24	0, 11, 14	+3+1	0.0002	0.0014
24	0, 12, 15	+3+1	0.0060	0.0447
24	0, 15, 19	+3+1	0.0049	0.0272
24	0, 16, 20	+3+1	0.0008	0.0044
24	0, 17, 21	+3+1	0.0067	0.0328
24	0, 5, 8	+3+2	0.0005	0.0099
24	0, 7, 11	+3+2	0.0003	0.0037
24	0, 9, 14	+3+2	0.0018	0.0186
24	0, 11, 17	+3+2	0.0055	0.0438
24	0, 12, 18	+3+2	0.0044	0.0325
24	0, 14, 21	+3+2	0.0018	0.0109
24	0, 15, 22	+3+2	0.0082	0.0467
25	0, 1, 2	+1+1	0.0004	0.0124
25	0, 2, 4	+1+1	0.0015	0.0250
25	0, 3, 6	+1+1	0.0034	0.0376
25	0, 5, 9	+1+1	0.0062	0.0441
25	0, 6, 11	+1+1	0.0024	0.0137
25	0, 7, 13	+1+1	0.0025	0.0118
25	0, 8, 14	+1+1	0.0100	0.0430
25	0, 8, 15	+1+1	0.0085	0.0344
25	0, 9, 16	+1+1	0.0038	0.0141
25	0, 10, 18	+1+1	0.0037	0.0119
25	0, 11, 19	+1+1	0.0088	0.0268
25	0, 11, 20	+1+1	0.0125	0.0361
25	0, 12, 21	+1+1	0.0003	0.0007
25	0, 13, 22	+1+1	0.0123	0.0316
25	0, 13, 23	+1+1	0.0108	0.0267
25	0, 14, 24	+1+1	0.0014	0.0034
25	0, 1, 3	+1+2	0.0008	0.0263
25	0, 3, 8	+1+2	0.0038	0.0453
25	0, 4, 11	+1+2	0.0015	0.0127
25	0, 5, 13	+1+2	0.0038	0.0267
25	0, 6, 16	+1+2	0.0049	0.0266
25	0, 7, 18	+1+2	0.0015	0.0069
25	0, 8, 20	+1+2	0.0012	0.0051
25	0, 9, 22	+1+2	0.0031	0.0116
25	0, 9, 23	+1+2	0.0132	0.0466
25	0, 10, 24	+1+2	0.0042	0.0139
25	0, 1, 4	+1+3	0.0012	0.0401
25	0, 3, 11	+1+3	0.0023	0.0264
25	0, 4, 14	+1+3	0.0012	0.0106
25	0, 5, 17	+1+3	0.0018	0.0120
25	0, 6, 19	+1+3	0.0074	0.0432
25	0, 6, 20	+1+3	0.0042	0.0228
25	0, 7, 22	+1+3	0.0040	0.0193
25	0, 7, 23	+1+3	0.0086	0.0395
25	0, 2, 3	+2+1	0.0007	0.0233
25	0, 4, 6	+2+1	0.0028	0.0470
25	0, 7, 10	+2+1	0.0010	0.0093
25	0, 9, 13	+2+1	0.0049	0.0344
25	0, 10, 14	+2+1	0.0028	0.0177
25	0, 12, 17	+2+1	0.0056	0.0284
25	0, 13, 18	+2+1	0.0021	0.0098
25	0, 14, 19	+2+1	0.0099	0.0438
25	0, 15, 21	+2+1	0.0091	0.0361
25	0, 16, 22	+2+1	0.0016	0.0059
25	0, 17, 23	+2+1	0.0062	0.0215
25	0, 18, 24	+2+1	0.0141	0.0466
25	0, 3, 7	+2+3	0.0010	0.0229
25	0, 9, 19	+2+3	0.0056	0.0406
25	0, 10, 21	+2+3	0.0032	0.0207
25	0, 11, 23	+2+3	0.0002	0.0013
25	0, 3, 4	+3+1	0.0010	0.0338
25	0, 7, 9	+3+1	0.0013	0.0183
25	0, 10, 13	+3+1	0.0048	0.0445
25	0, 11, 14	+3+1	0.0007	0.0061
25	0, 12, 15	+3+1	0.0064	0.0494
25	0, 15, 19	+3+1	0.0035	0.0207
25	0, 16, 20	+3+1	0.0020	0.0110
25	0, 17, 21	+3+1	0.0077	0.0394
25	0, 5, 8	+3+2	0.0003	0.0052
25	0, 7, 11	+3+2	0.0002	0.0028
25	0, 9, 14	+3+2	0.0010	0.0103
25	0, 11, 17	+3+2	0.0040	0.0337
25	0, 12, 18	+3+2	0.0055	0.0428
25	0, 14, 21	+3+2	0.0002	0.0013
25	0, 16, 24	+3+2	0.0076	0.0410
26	0, 1, 2	+1+1	0.0003	0.0120
26	0, 2, 4	+1+1	0.0013	0.0240
26	0, 3, 6	+1+1	0.0031	0.0362
26	0, 4, 8	+1+1	0.0057	0.0485
26	0, 5, 9	+1+1	0.0063	0.0462
26	0, 6, 11	+1+1	0.0027	0.0163
26	0, 7, 13	+1+1	0.0017	0.0086
26	0, 8, 14	+1+1	0.0103	0.0462
26	0, 8, 15	+1+1	0.0073	0.0306
26	0, 9, 16	+1+1	0.0046	0.0180
26	0, 10, 18	+1+1	0.0022	0.0074
26	0, 11, 19	+1+1	0.0099	0.0313
26	0, 11, 20	+1+1	0.0102	0.0309
26	0, 12, 21	+1+1	0.0016	0.0046
26	0, 13, 22	+1+1	0.0137	0.0368
26	0, 13, 23	+1+1	0.0080	0.0206
26	0, 14, 24	+1+1	0.0039	0.0095
26	0, 14, 25	+1+1	0.0190	0.0448
26	0, 15, 25	+1+1	0.0161	0.0373
26	0, 1, 3	+1+2	0.0007	0.0253
26	0, 3, 8	+1+2	0.0038	0.0481
26	0, 4, 11	+1+2	0.0010	0.0089
26	0, 5, 13	+1+2	0.0043	0.0312
26	0, 6, 16	+1+2	0.0037	0.0210
26	0, 7, 18	+1+2	0.0001	0.0006
26	0, 8, 20	+1+2	0.0028	0.0122
26	0, 8, 21	+1+2	0.0118	0.0487
26	0, 9, 22	+1+2	0.0050	0.0194
26	0, 9, 23	+1+2	0.0104	0.0383
26	0, 10, 24	+1+2	0.0064	0.0225
26	0, 10, 25	+1+2	0.0098	0.0325
26	0, 1, 4	+1+3	0.0011	0.0385
26	0, 3, 11	+1+3	0.0019	0.0221
26	0, 4, 14	+1+3	0.0006	0.0050
26	0, 5, 17	+1+3	0.0007	0.0051
26	0, 6, 20	+1+3	0.0026	0.0147
26	0, 7, 22	+1+3	0.0056	0.0284
26	0, 7, 23	+1+3	0.0062	0.0301
26	0, 8, 25	+1+3	0.0009	0.0037
26	0, 2, 3	+2+1	0.0006	0.0224
26	0, 4, 6	+2+1	0.0026	0.0452
26	0, 7, 10	+2+1	0.0012	0.0122
26	0, 9, 13	+2+1	0.0041	0.0304
26	0, 10, 14	+2+1	0.0032	0.0217
26	0, 12, 17	+2+1	0.0044	0.0233
26	0, 13, 18	+2+1	0.0030	0.0150
26	0, 14, 19	+2+1	0.0106	0.0490
26	0, 15, 21	+2+1	0.0072	0.0297
26	0, 16, 22	+2+1	0.0001	0.0005
26	0, 17, 23	+2+1	0.0076	0.0280
26	0, 18, 25	+2+1	0.0131	0.0437
26	0, 3, 7	+2+3	0.0011	0.0271
26	0, 10, 21	+2+3	0.0050	0.0334
26	0, 11, 23	+2+3	0.0021	0.0126
26	0, 12, 25	+2+3	0.0018	0.0097
26	0, 3, 4	+3+1	0.0009	0.0324
26	0, 7, 9	+3+1	0.0014	0.0211
26	0, 10, 13	+3+1	0.0041	0.0402
26	0, 11, 14	+3+1	0.0012	0.0104
26	0, 15, 19	+3+1	0.0024	0.0147
26	0, 16, 20	+3+1	0.0030	0.0170
26	0, 17, 21	+3+1	0.0084	0.0455
26	0, 19, 24	+3+1	0.0101	0.0464
26	0, 20, 25	+3+1	0.0049	0.0215
26	0, 5, 8	+3+2	0.0000	0.0008
26	0, 7, 11	+3+2	0.0006	0.0088
26	0, 9, 14	+3+2	0.0002	0.0027
26	0, 11, 17	+3+2	0.0028	0.0244
26	0, 14, 21	+3+2	0.0019	0.0126
26	0, 16, 24	+3+2	0.0049	0.0279
26	0, 17, 25	+3+2	0.0042	0.0226
27	0, 1, 2	+1+1	0.0003	0.0115
27	0, 2, 4	+1+1	0.0012	0.0231
27	0, 3, 6	+1+1	0.0029	0.0348
27	0, 4, 8	+1+1	0.0052	0.0466
27	0, 5, 9	+1+1	0.0063	0.0481
27	0, 6, 11	+1+1	0.0030	0.0187
27	0, 7, 13	+1+1	0.0011	0.0056
27	0, 8, 14	+1+1	0.0105	0.0492
27	0, 8, 15	+1+1	0.0062	0.0271
27	0, 9, 16	+1+1	0.0053	0.0215
27	0, 9, 17	+1+1	0.0122	0.0467
27	0, 10, 18	+1+1	0.0009	0.0032
27	0, 11, 19	+1+1	0.0107	0.0354
27	0, 11, 20	+1+1	0.0082	0.0260
27	0, 12, 21	+1+1	0.0032	0.0094
27	0, 12, 22	+1+1	0.0168	0.0477
27	0, 13, 22	+1+1	0.0149	0.0416
27	0, 13, 23	+1+1	0.0056	0.0150
27	0, 14, 24	+1+1	0.0059	0.0150
27	0, 14, 25	+1+1	0.0156	0.0383
27	0, 15, 25	+1+1	0.0177	0.0428
27	0, 15, 26	+1+1	0.0044	0.0103
27	0, 1, 3	+1+2	0.0006	0.0243
27	0, 2, 6	+1+2	0.0027	0.0486
27	0, 4, 11	+1+2	0.0006	0.0054
27	0, 5, 13	+1+2	0.0047	0.0354
27	0, 5, 14	+1+2	0.0068	0.0481
27	0, 6, 16	+1+2	0.0026	0.0159
27	0, 7, 18	+1+2	0.0010	0.0052
27	0, 8, 20	+1+2	0.0041	0.0187
27	0, 8, 21	+1+2	0.0097	0.0418
27	0, 9, 22	+1+2	0.0065	0.0266
27	0, 9, 23	+1+2	0.0079	0.0307
27	0, 10, 24	+1+2	0.0083	0.0304
27	0, 10, 25	+1+2	0.0069	0.0241
27	0, 11, 26	+1+2	0.0094	0.0309
27	0, 1, 4	+1+3	0.0010	0.0371
27	0, 3, 11	+1+3	0.0015	0.0181
27	0, 4, 14	+1+3	0.0000	0.0002
27	0, 5, 17	+1+3	0.0002	0.0012
27	0, 6, 20	+1+3	0.0012	0.0072
27	0, 7, 22	+1+3	0.0069	0.0368
27	0, 7, 23	+1+3	0.0042	0.0214
27	0, 8, 25	+1+3	0.0029	0.0133
27	0, 8, 26	+1+3	0.0091	0.0393
27	0, 2, 3	+2+1	0.0006	0.0215
27	0, 4, 6	+2+1	0.0024	0.0435
27	0, 7, 10	+2+1	0.0014	0.0149
27	0, 9, 13	+2+1	0.0035	0.0268
27	0, 10, 14	+2+1	0.0036	0.0253
27	0, 12, 17	+2+1	0.0033	0.0186
27	0, 13, 18	+2+1	0.0038	0.0197
27	0, 15, 21	+2+1	0.0055	0.0238
27	0, 16, 22	+2+1	0.0016	0.0065
27	0, 17, 23	+2+1	0.0088	0.0339
27	0, 18, 25	+2+1	0.0104	0.0365
27	0, 19, 26	+2+1	0.0035	0.0116
27	0, 3, 7	+2+3	0.0012	0.0309
27	0, 10, 21	+2+3	0.0064	0.0451
27	0, 11, 23	+2+3	0.0041	0.0255
27	0, 12, 25	+2+3	0.0008	0.0043
27	0, 3, 4	+3+1	0.0008	0.0312
27	0, 7, 9	+3+1	0.0015	0.0236
27	0, 10, 13	+3+1	0.0036	0.0363
27	0, 11, 14	+3+1	0.0016	0.0144
27	0, 14, 18	+3+1	0.0065	0.0447
27	0, 15, 19	+3+1	0.0014	0.0092
27	0, 16, 20	+3+1	0.0037	0.0226
27	0, 19, 24	+3+1	0.0081	0.0391
27	0, 20, 25	+3+1	0.0031	0.0142
27	0, 21, 26	+3+1	0.0020	0.0087
27	0, 5, 8	+3+2	0.0001	0.0032
27	0, 7, 11	+3+2	0.0009	0.0143
27	0, 9, 14	+3+2	0.0004	0.0043
27	0, 11, 17	+3+2	0.0017	0.0158
27	0, 13, 20	+3+2	0.0055	0.0417
27	0, 14, 21	+3+2	0.0033	0.0229
27	0, 16, 24	+3+2	0.0027	0.0158
27	0, 17, 25	+3+2	0.0062	0.0349
28	0, 1, 2	+1+1	0.0003	0.0111
28	0, 2, 4	+1+1	0.0012	0.0223
28	0, 3, 6	+1+1	0.0027	0.0335
28	0, 4, 8	+1+1	0.0048	0.0449
28	0, 5, 9	+1+1	0.0062	0.0499
28	0, 6, 11	+1+1	0.0033	0.0209
28	0, 7, 13	+1+1	0.0005	0.0029
28	0, 8, 15	+1+1	0.0052	0.0238
28	0, 9, 16	+1+1	0.0059	0.0248
28	0, 9, 17	+1+1	0.0108	0.0430
28	0, 10, 18	+1+1	0.0002	0.0006
28	0, 11, 19	+1+1	0.0114	0.0392
28	0, 11, 20	+1+1	0.0066	0.0216
28	0, 12, 21	+1+1	0.0045	0.0138
28	0, 12, 22	+1+1	0.0144	0.0426
28	0, 13, 22	+1+1	0.0158	0.0460
28	0, 13, 23	+1+1	0.0035	0.0099
28	0, 14, 24	+1+1	0.0076	0.0201
28	0, 14, 25	+1+1	0.0127	0.0325
28	0, 15, 25	+1+1	0.0190	0.0478
28	0, 15, 26	+1+1	0.0018	0.0044
28	0, 16, 27	+1+1	0.0093	0.0217
28	0, 1, 3	+1+2	0.0006	0.0235
28	0, 2, 6	+1+2	0.0025	0.0469
28	0, 4, 11	+1+2	0.0002	0.0022
28	0, 5, 13	+1+2	0.0050	0.0393
28	0, 5, 14	+1+2	0.0060	0.0440
28	0, 6, 16	+1+2	0.0018	0.0111
28	0, 7, 18	+1+2	0.0020	0.0107
28	0, 8, 20	+1+2	0.0052	0.0247
28	0, 8, 21	+1+2	0.0078	0.0354
28	0, 9, 22	+1+2	0.0078	0.0333
28	0, 9, 23	+1+2	0.0058	0.0236
28	0, 10, 24	+1+2	0.0099	0.0377
28	0, 10, 25	+1+2	0.0045	0.0164
28	0, 11, 26	+1+2	0.0113	0.0389
28	0, 11, 27	+1+2	0.0038	0.0127
28	0, 1, 4	+1+3	0.0009	0.0358
28	0, 3, 11	+1+3	0.0011	0.0144
28	0, 4, 14	+1+3	0.0005	0.0050
28	0, 5, 17	+1+3	0.0009	0.0071
28	0, 6, 20	+1+3	0.0000	0.0002
28	0, 7, 22	+1+3	0.0080	0.0447
28	0, 7, 23	+1+3	0.0025	0.0133
28	0, 8, 25	+1+3	0.0047	0.0222
28	0, 8, 26	+1+3	0.0066	0.0301
28	0, 9, 27	+1+3	0.0114	0.0493
28	0, 2, 3	+2+1	0.0005	0.0208
28	0, 4, 6	+2+1	0.0022	0.0419
28	0, 7, 10	+2+1	0.0016	0.0173
28	0, 9, 13	+2+1	0.0029	0.0234
28	0, 10, 14	+2+1	0.0039	0.0287
28	0, 12, 17	+2+1	0.0024	0.0142
28	0, 13, 18	+2+1	0.0045	0.0241
28	0, 15, 21	+2+1	0.0041	0.0183
28	0, 16, 22	+2+1	0.0028	0.0119
28	0, 17, 23	+2+1	0.0098	0.0394
28	0, 18, 25	+2+1	0.0082	0.0299
28	0, 19, 26	+2+1	0.0014	0.0049
28	0, 20, 27	+2+1	0.0055	0.0181
28	0, 3, 7	+2+3	0.0013	0.0345
28	0, 7, 16	+2+3	0.0048	0.0500
28	0, 8, 18	+2+3	0.0052	0.0464
28	0, 9, 20	+2+3	0.0062	0.0491
28	0, 11, 23	+2+3	0.0057	0.0374
28	0, 12, 25	+2+3	0.0029	0.0174
28	0, 13, 27	+2+3	0.0007	0.0040
28	0, 3, 4	+3+1	0.0008	0.0301
28	0, 7, 9	+3+1	0.0016	0.0260
28	0, 10, 13	+3+1	0.0031	0.0327
28	0, 11, 14	+3+1	0.0019	0.0181
28	0, 14, 18	+3+1	0.0055	0.0397
28	0, 15, 19	+3+1	0.0006	0.0041
28	0, 16, 20	+3+1	0.0044	0.0277
28	0, 19, 24	+3+1	0.0064	0.0325
28	0, 20, 25	+3+1	0.0016	0.0075
28	0, 21, 26	+3+1	0.0034	0.0154
28	0, 22, 27	+3+1	0.0085	0.0366
28	0, 5, 8	+3+2	0.0003	0.0069
28	0, 7, 11	+3+2	0.0012	0.0193
28	0, 9, 14	+3+2	0.0009	0.0108
28	0, 11, 17	+3+2	0.0008	0.0079
28	0, 13, 20	+3+2	0.0041	0.0323
28	0, 14, 21	+3+2	0.0044	0.0325
28	0, 16, 24	+3+2	0.0007	0.0047
28	0, 17, 25	+3+2	0.0078	0.0461
28	0, 18, 27	+3+2	0.0079	0.0426
29	0, 1, 2	+1+1	0.0003	0.0107
29	0, 2, 4	+1+1	0.0011	0.0215
29	0, 3, 6	+1+1	0.0025	0.0324
29	0, 4, 8	+1+1	0.0045	0.0434
29	0, 6, 11	+1+1	0.0034	0.0230
29	0, 7, 13	+1+1	0.0001	0.0004
29	0, 8, 15	+1+1	0.0044	0.0208
29	0, 9, 16	+1+1	0.0063	0.0278
29	0, 9, 17	+1+1	0.0095	0.0395
29	0, 10, 18	+1+1	0.0011	0.0041
29	0, 11, 19	+1+1	0.0119	0.0428
29	0, 11, 20	+1+1	0.0051	0.0175
29	0, 12, 21	+1+1	0.0056	0.0179
29	0, 12, 22	+1+1	0.0123	0.0379
29	0, 13, 23	+1+1	0.0018	0.0052
29	0, 14, 24	+1+1	0.0090	0.0248
29	0, 14, 25	+1+1	0.0102	0.0271
29	0, 15, 26	+1+1	0.0004	0.0009
29	0, 15, 27	+1+1	0.0198	0.0483
29	0, 16, 27	+1+1	0.0112	0.0270
29	0, 16, 28	+1+1	0.0094	0.0220
29	0, 1, 3	+1+2	0.0006	0.0226
29	0, 2, 6	+1+2	0.0023	0.0452
29	0, 4, 11	+1+2	0.0001	0.0008
29	0, 5, 13	+1+2	0.0052	0.0429
29	0, 5, 14	+1+2	0.0052	0.0401
29	0, 6, 16	+1+2	0.0010	0.0067
29	0, 7, 18	+1+2	0.0028	0.0157
29	0, 7, 19	+1+2	0.0090	0.0480
29	0, 8, 20	+1+2	0.0061	0.0303
29	0, 8, 21	+1+2	0.0062	0.0295
29	0, 9, 22	+1+2	0.0089	0.0394
29	0, 9, 23	+1+2	0.0040	0.0171
29	0, 10, 24	+1+2	0.0112	0.0444
29	0, 10, 25	+1+2	0.0024	0.0092
29	0, 11, 26	+1+2	0.0128	0.0462
29	0, 11, 27	+1+2	0.0014	0.0049
29	0, 12, 28	+1+2	0.0138	0.0456
29	0, 1, 4	+1+3	0.0009	0.0346
29	0, 3, 11	+1+3	0.0008	0.0109
29	0, 4, 14	+1+3	0.0009	0.0095
29	0, 5, 17	+1+3	0.0016	0.0126
29	0, 6, 20	+1+3	0.0009	0.0063
29	0, 7, 23	+1+3	0.0010	0.0058
29	0, 8, 25	+1+3	0.0061	0.0305
29	0, 8, 26	+1+3	0.0045	0.0216
29	0, 9, 28	+1+3	0.0018	0.0076
29	0, 2, 3	+2+1	0.0005	0.0200
29	0, 4, 6	+2+1	0.0021	0.0404
29	0, 7, 10	+2+1	0.0018	0.0196
29	0, 9, 13	+2+1	0.0024	0.0203
29	0, 10, 14	+2+1	0.0042	0.0319
29	0, 12, 17	+2+1	0.0017	0.0102
29	0, 13, 18	+2+1	0.0050	0.0282
29	0, 14, 20	+2+1	0.0093	0.0469
29	0, 15, 21	+2+1	0.0028	0.0133
29	0, 16, 22	+2+1	0.0038	0.0169
29	0, 17, 23	+2+1	0.0106	0.0444
29	0, 18, 25	+2+1	0.0062	0.0238
29	0, 19, 26	+2+1	0.0003	0.0012
29	0, 20, 27	+2+1	0.0070	0.0243
29	0, 21, 28	+2+1	0.0139	0.0457
29	0, 3, 7	+2+3	0.0014	0.0379
29	0, 7, 16	+2+3	0.0039	0.0423
29	0, 8, 18	+2+3	0.0040	0.0377
29	0, 9, 20	+2+3	0.0048	0.0395
29	0, 10, 22	+2+3	0.0063	0.0459
29	0, 11, 23	+2+3	0.0071	0.0485
29	0, 12, 25	+2+3	0.0048	0.0294
29	0, 13, 27	+2+3	0.0016	0.0091
29	0, 3, 4	+3+1	0.0007	0.0290
29	0, 7, 9	+3+1	0.0017	0.0282
29	0, 10, 13	+3+1	0.0026	0.0293
29	0, 11, 14	+3+1	0.0021	0.0215
29	0, 14, 18	+3+1	0.0046	0.0350
29	0, 15, 19	+3+1	0.0001	0.0006
29	0, 16, 20	+3+1	0.0049	0.0324
29	0, 19, 24	+3+1	0.0050	0.0263
29	0, 20, 25	+3+1	0.0003	0.0013
29	0, 21, 26	+3+1	0.0046	0.0216
29	0, 22, 27	+3+1	0.0095	0.0428
29	0, 5, 8	+3+2	0.0004	0.0104
29	0, 7, 11	+3+2	0.0014	0.0241
29	0, 9, 14	+3+2	0.0013	0.0168
29	0, 11, 17	+3+2	0.0000	0.0005
29	0, 13, 20	+3+2	0.0029	0.0235
29	0, 14, 21	+3+2	0.0054	0.0414
29	0, 16, 24	+3+2	0.0009	0.0056
29	0, 18, 27	+3+2	0.0055	0.0307
29	0, 19, 28	+3+2	0.0027	0.0144
30	0, 1, 2	+1+1	0.0002	0.0104
30	0, 2, 4	+1+1	0.0010	0.0208
30	0, 3, 6	+1+1	0.0023	0.0313
30	0, 4, 8	+1+1	0.0042	0.0419
30	0, 6, 11	+1+1	0.0036	0.0249
30	0, 7, 13	+1+1	0.0003	0.0019
30	0, 8, 15	+1+1	0.0037	0.0181
30	0, 9, 16	+1+1	0.0067	0.0306
30	0, 9, 17	+1+1	0.0084	0.0362
30	0, 10, 18	+1+1	0.0018	0.0074
30	0, 11, 19	+1+1	0.0123	0.0460
30	0, 11, 20	+1+1	0.0039	0.0138
30	0, 12, 21	+1+1	0.0065	0.0217
30	0, 12, 22	+1+1	0.0105	0.0336
30	0, 13, 23	+1+1	0.0003	0.0009
30	0, 14, 24	+1+1	0.0102	0.0291
30	0, 14, 25	+1+1	0.0080	0.0222
30	0, 15, 26	+1+1	0.0022	0.0058
30	0, 15, 27	+1+1	0.0168	0.0427
30	0, 16, 27	+1+1	0.0127	0.0319
30	0, 16, 28	+1+1	0.0068	0.0164
30	0, 17, 29	+1+1	0.0035	0.0082
30	0, 1, 3	+1+2	0.0005	0.0219
30	0, 2, 6	+1+2	0.0022	0.0437
30	0, 4, 11	+1+2	0.0003	0.0036
30	0, 5, 13	+1+2	0.0054	0.0462
30	0, 5, 14	+1+2	0.0046	0.0365
30	0, 6, 16	+1+2	0.0004	0.0025
30	0, 7, 18	+1+2	0.0035	0.0204
30	0, 7, 19	+1+2	0.0077	0.0431
30	0, 8, 20	+1+2	0.0069	0.0355
30	0, 8, 21	+1+2	0.0049	0.0240
30	0, 9, 22	+1+2	0.0098	0.0452
30	0, 9, 23	+1+2	0.0025	0.0110
30	0, 10, 25	+1+2	0.0006	0.0026
30	0, 11, 27	+1+2	0.0006	0.0023
30	0, 11, 28	+1+2	0.0131	0.0455
30	0, 12, 29	+1+2	0.0013	0.0044
30	0, 1, 4	+1+3	0.0008	0.0334
30	0, 3, 11	+1+3	0.0006	0.0077
30	0, 4, 14	+1+3	0.0013	0.0137
30	0, 5, 17	+1+3	0.0021	0.0178
30	0, 5, 18	+1+3	0.0063	0.0492
30	0, 6, 20	+1+3	0.0018	0.0123
30	0, 6, 21	+1+3	0.0072	0.0468
30	0, 7, 23	+1+3	0.0002	0.0012
30	0, 8, 25	+1+3	0.0073	0.0382
30	0, 8, 26	+1+3	0.0028	0.0137
30	0, 9, 28	+1+3	0.0036	0.0163
30	0, 9, 29	+1+3	0.0072	0.0311
30	0, 2, 3	+2+1	0.0005	0.0194
30	0, 4, 6	+2+1	0.0019	0.0391
30	0, 7, 10	+2+1	0.0019	0.0218
30	0, 9, 13	+2+1	0.0020	0.0174
30	0, 10, 14	+2+1	0.0044	0.0348
30	0, 12, 17	+2+1	0.0010	0.0064
30	0, 13, 18	+2+1	0.0054	0.0319
30	0, 14, 20	+2+1	0.0081	0.0423
30	0, 15, 21	+2+1	0.0018	0.0087
30	0, 16, 22	+2+1	0.0047	0.0216
30	0, 17, 23	+2+1	0.0113	0.0491
30	0, 17, 24	+2+1	0.0108	0.0453
30	0, 18, 25	+2+1	0.0046	0.0181
30	0, 19, 26	+2+1	0.0018	0.0068
30	0, 20, 27	+2+1	0.0083	0.0299
30	0, 21, 29	+2+1	0.0097	0.0323
30	0, 3, 7	+2+3	0.0014	0.0410
30	0, 6, 14	+2+3	0.0038	0.0498
30	0, 7, 16	+2+3	0.0031	0.0351
30	0, 8, 18	+2+3	0.0030	0.0296
30	0, 9, 20	+2+3	0.0035	0.0304
30	0, 10, 22	+2+3	0.0047	0.0359
30	0, 11, 24	+2+3	0.0066	0.0449
30	0, 12, 25	+2+3	0.0063	0.0407
30	0, 13, 27	+2+3	0.0036	0.0213
30	0, 14, 29	+2+3	0.0002	0.0009
30	0, 3, 4	+3+1	0.0007	0.0281
30	0, 7, 9	+3+1	0.0018	0.0302
30	0, 10, 13	+3+1	0.0023	0.0262
30	0, 11, 14	+3+1	0.0023	0.0246
30	0, 14, 18	+3+1	0.0039	0.0306
30	0, 15, 19	+3+1	0.0007	0.0050
30	0, 16, 20	+3+1	0.0054	0.0368
30	0, 18, 23	+3+1	0.0082	0.0480
30	0, 19, 24	+3+1	0.0037	0.0206
30	0, 20, 25	+3+1	0.0008	0.0044
30	0, 21, 26	+3+1	0.0055	0.0274
30	0, 22, 27	+3+1	0.0103	0.0485
30	0, 5, 8	+3+2	0.0006	0.0137
30	0, 7, 11	+3+2	0.0017	0.0285
30	0, 9, 14	+3+2	0.0017	0.0224
30	0, 11, 17	+3+2	0.0006	0.0064
30	0, 13, 20	+3+2	0.0018	0.0154
30	0, 14, 21	+3+2	0.0062	0.0496
30	0, 15, 23	+3+2	0.0056	0.0408
30	0, 16, 24	+3+2	0.0022	0.0152
30	0, 18, 27	+3+2	0.0034	0.0197
30	0, 19, 28	+3+2	0.0046	0.0255