| number of components | N | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 | best ------------------------------------------------------------- 1 | 1 | (1, 1) 2 | 2 | (2, 1) 3 | 3 | (3, 1) 4 | 4 4 | (4, 1) 5 | 5 5 | (5, 1) 6 | 6 5 | (5, 2) 7 | 7 6 6 | (6, 2) 8 | 8 6 6 | (6, 2) 9 | 9 6 | (6, 2) 10 | 10 7 7 | (7, 2) 11 | 11 7 7 | (7, 2) 12 | 12 7 7 | (7, 2) 13 | 13 8 8 8 | (8, 2) 14 | 14 8 8 8 | (8, 2) 15 | 15 8 8 8 | (8, 2) 16 | 16 8 8 8 | (8, 2) 17 | 17 9 8 | (8, 3) 18 | 18 9 8 | (8, 3) 19 | 19 9 9 9 | (9, 2) 20 | 20 9 9 9 | (9, 2) 21 | 21 10 9 9 | (9, 3) 22 | 22 10 9 9 | (9, 3) 23 | 23 10 9 9 | (9, 3) 24 | 24 10 9 9 | (9, 3) 25 | 25 10 9 | (9, 3) 26 | 26 11 9 | (9, 3) 27 | 27 11 9 | (9, 3) 28 | 28 11 10 10 10 | (10, 3) 29 | 29 11 10 10 10 | (10, 3) 30 | 30 11 10 10 10 | (10, 3) 31 | 31 12 10 10 10 | (10, 3) 32 | 32 12 10 10 10 | (10, 3) 33 | 33 12 10 10 | (10, 3) 34 | 34 12 10 10 | (10, 3) 35 | 35 12 10 10 | (10, 3) 36 | 36 12 10 10 | (10, 3) 37 | 37 13 11 11 11 | (11, 3) 38 | 38 13 11 11 11 | (11, 3) 39 | 39 13 11 11 11 | (11, 3) 40 | 40 13 11 11 11 | (11, 3) 41 | 41 13 11 11 11 | (11, 3) 42 | 42 13 11 11 11 | (11, 3) 43 | 43 14 11 11 11 | (11, 3) 44 | 44 14 11 11 11 | (11, 3) 45 | 45 14 11 11 11 | (11, 3) 46 | 46 14 11 11 11 | (11, 3) 47 | 47 14 11 11 11 | (11, 3) 48 | 48 14 11 11 11 | (11, 3) 49 | 49 14 12 11 | (11, 4) 50 | 50 15 12 11 | (11, 4) 51 | 51 15 12 11 | (11, 4) 52 | 52 15 12 11 | (11, 4) 53 | 53 15 12 11 | (11, 4) 54 | 54 15 12 11 | (11, 4) 55 | 55 15 12 12 12 12 | (12, 3) 56 | 56 15 12 12 12 12 | (12, 3) 57 | 57 16 12 12 12 12 | (12, 3) 58 | 58 16 12 12 12 12 | (12, 3) 59 | 59 16 12 12 12 12 | (12, 3) 60 | 60 16 12 12 12 12 | (12, 3) 61 | 61 16 12 12 12 12 | (12, 3) 62 | 62 16 12 12 12 12 | (12, 3) 63 | 63 16 12 12 12 12 | (12, 3) 64 | 64 16 12 12 12 12 | (12, 3) 65 | 65 17 13 12 12 | (12, 4) 66 | 66 17 13 12 12 | (12, 4) 67 | 17 13 12 12 | (12, 4) 73 | 18 13 12 | (12, 4) 81 | 18 14 12 | (12, 4) 82 | 19 14 13 13 13 | (13, 4) 91 | 20 14 13 13 13 | (13, 4) 97 | 20 14 13 13 | (13, 4) 101 | 21 15 13 13 | (13, 4) 109 | 21 15 14 14 14 14 | (14, 4) 111 | 22 15 14 14 14 14 | (14, 4) 122 | 23 15 14 14 14 14 | (14, 4) 126 | 23 16 14 14 14 14 | (14, 4) 129 | 23 16 14 14 14 | (14, 4) 133 | 24 16 14 14 14 | (14, 4) 145 | 25 16 15 14 | (14, 5) 151 | 25 17 15 14 | (14, 5) 157 | 26 17 15 14 | (14, 5) 163 | 26 17 15 15 15 15 | (15, 4) 170 | 27 17 15 15 15 15 | (15, 4) 181 | 27 18 15 15 15 15 | (15, 4) 183 | 28 18 15 15 15 15 | (15, 4) 193 | 28 18 16 15 15 | (15, 5) 197 | 29 18 16 15 15 | (15, 5) 211 | 30 18 16 15 15 | (15, 5) 217 | 30 19 16 15 | (15, 5) 226 | 31 19 16 15 | (15, 5) 241 | 32 19 16 15 | (15, 5) 244 | 32 19 16 16 16 16 16 | (16, 4) 253 | 32 20 16 16 16 16 16 | (16, 4) 257 | 33 20 17 16 16 16 | (16, 5) 273 | 34 20 17 16 16 16 | (16, 5) 289 | 34 20 17 16 16 | (16, 5) 290 | 35 20 17 16 16 | (16, 5) 295 | 35 21 17 16 16 | (16, 5) 307 | 36 21 17 16 16 | (16, 5) 321 | 36 21 18 16 16 | (16, 5) 325 | 37 21 18 17 17 17 17 | (17, 5) 343 | 38 21 18 17 17 17 17 | (17, 5) 344 | 38 22 18 17 17 17 17 | (17, 5) 362 | 39 22 18 17 17 17 17 | (17, 5) 381 | 40 22 18 17 17 17 17 | (17, 5) 385 | 40 22 18 17 17 17 | (17, 5) 393 | 40 23 18 17 17 17 | (17, 5) 401 | 41 23 19 17 17 17 | (17, 5) 421 | 42 23 19 17 17 17 | (17, 5) 433 | 42 23 19 18 17 | (17, 6) 442 | 43 23 19 18 17 | (17, 6) 449 | 43 24 19 18 17 | (17, 6) 463 | 44 24 19 18 17 | (17, 6) 485 | 45 24 19 18 17 | (17, 6) 487 | 45 24 19 18 18 18 18 18 | (18, 5) 501 | 45 24 20 18 18 18 18 18 | (18, 5) 507 | 46 24 20 18 18 18 18 18 | (18, 5) 513 | 46 25 20 18 18 18 18 | (18, 5) 530 | 47 25 20 18 18 18 18 | (18, 5) 553 | 48 25 20 18 18 18 18 | (18, 5) 577 | 49 26 20 19 18 18 | (18, 6) 601 | 50 26 20 19 18 18 | (18, 6) 626 | 51 26 21 19 18 18 | (18, 6) 649 | 51 27 21 19 18 | (18, 6) 651 | 52 27 21 19 18 | (18, 6) 677 | 53 27 21 19 18 | (18, 6) 703 | 54 27 21 19 18 | (18, 6) 730 | 55 28 21 19 19 19 19 19 | (19, 5) 751 | 55 28 22 19 19 19 19 19 | (19, 5) 757 | 56 28 22 19 19 19 19 19 | (19, 5) 769 | 56 28 22 20 19 19 19 | (19, 6) 785 | 57 28 22 20 19 19 19 | (19, 6) 811 | 57 29 22 20 19 19 19 | (19, 6) 813 | 58 29 22 20 19 19 19 | (19, 6) 842 | 59 29 22 20 19 19 19 | (19, 6) 865 | 59 29 22 20 19 19 | (19, 6) 871 | 60 29 22 20 19 19 | (19, 6) 901 | 61 30 23 20 19 19 | (19, 6) 931 | 62 30 23 20 19 19 | (19, 6) 962 | 63 30 23 20 19 19 | (19, 6) 973 | 63 30 23 20 20 20 20 20 20 | (20, 5) 993 | 64 30 23 20 20 20 20 20 20 | (20, 5) 1001 | 64 31 23 20 20 20 20 20 20 | (20, 5) 1025 | 65 31 23 21 20 20 20 20 | (20, 6) 1057 | 66 31 23 21 20 20 20 20 | (20, 6) 1081 | 66 31 24 21 20 20 20 20 | (20, 6) 1090 | 31 24 21 20 20 20 20 | (20, 6) 1101 | 32 24 21 20 20 20 20 | (20, 6) 1153 | 32 24 21 20 20 20 | (20, 6) 1211 | 33 24 21 20 20 20 | (20, 6) 1281 | 33 24 22 20 20 20 | (20, 6) 1297 | 33 25 22 21 20 | (20, 7) 1332 | 34 25 22 21 20 | (20, 7) 1453 | 35 25 22 21 20 | (20, 7) 1459 | 35 25 22 21 21 21 21 21 | (21, 6) 1513 | 35 26 22 21 21 21 21 21 | (21, 6) 1537 | 35 26 22 21 21 21 21 | (21, 6) 1585 | 36 26 22 21 21 21 21 | (21, 6) 1601 | 36 26 23 21 21 21 21 | (21, 6) 1729 | 37 26 23 22 21 21 | (21, 7) 1765 | 37 27 23 22 21 21 | (21, 7) 1873 | 38 27 23 22 21 21 | (21, 7) 1945 | 38 27 23 22 21 | (21, 7) 2001 | 38 27 24 22 21 | (21, 7) 2029 | 39 27 24 22 21 | (21, 7) 2059 | 39 28 24 22 21 | (21, 7) 2188 | 39 28 24 22 22 22 22 22 | (22, 6) 2198 | 40 28 24 22 22 22 22 22 | (22, 6) 2305 | 40 28 24 23 22 22 22 | (22, 7) 2367 | 41 28 24 23 22 22 22 | (22, 7) 2402 | 41 29 24 23 22 22 22 | (22, 7) 2501 | 41 29 25 23 22 22 22 | (22, 7) 2549 | 42 29 25 23 22 22 22 | (22, 7) 2593 | 42 29 25 23 22 22 | (22, 7) 2745 | 43 30 25 23 22 22 | (22, 7) 2917 | 43 30 25 23 23 23 23 23 23 | (23, 6) 2941 | 44 30 25 23 23 23 23 23 23 | (23, 6) 3073 | 44 30 25 24 23 23 23 23 | (23, 7) 3126 | 44 30 26 24 23 23 23 23 | (23, 7) 3137 | 44 31 26 24 23 23 23 23 | (23, 7) 3151 | 45 31 26 24 23 23 23 23 | (23, 7) 3376 | 46 31 26 24 23 23 23 23 | (23, 7) 3457 | 46 31 26 24 23 23 23 | (23, 7) 3585 | 46 32 26 24 23 23 23 | (23, 7) 3601 | 47 32 26 24 23 23 23 | (23, 7) 3751 | 47 32 27 24 23 23 23 | (23, 7) 3841 | 48 32 27 24 23 23 23 | (23, 7) 3889 | 48 32 27 24 24 23 | (23, 8) 4097 | 49 33 27 25 24 23 | (23, 8) 4353 | 50 33 27 25 24 23 | (23, 8) 4375 | 50 33 27 25 24 24 24 24 24 | (24, 7) 4501 | 50 33 28 25 24 24 24 24 24 | (24, 7) 4609 | 50 34 28 25 24 24 24 24 | (24, 7) 4625 | 51 34 28 25 24 24 24 24 | (24, 7) 4914 | 52 34 28 25 24 24 24 24 | (24, 7) 5121 | 52 34 28 26 24 24 24 24 | (24, 7) 5185 | 52 35 28 26 25 24 24 | (24, 8) 5203 | 53 35 28 26 25 24 24 | (24, 8) 5401 | 53 35 29 26 25 24 24 | (24, 8) 5509 | 54 35 29 26 25 24 24 | (24, 8) 5833 | 55 36 29 26 25 24 | (24, 8) 6157 | 56 36 29 26 25 24 | (24, 8) 6401 | 56 36 29 27 25 24 | (24, 8) 6481 | 56 36 30 27 25 24 | (24, 8) 6499 | 57 36 30 27 25 24 | (24, 8) 6562 | 57 37 30 27 25 25 25 25 25 | (25, 7) 6860 | 58 37 30 27 25 25 25 25 25 | (25, 7) 6913 | 58 37 30 27 26 25 25 25 | (25, 8) 7221 | 59 37 30 27 26 25 25 25 | (25, 8) 7291 | 59 38 30 27 26 25 25 25 | (25, 8) 7601 | 60 38 30 27 26 25 25 25 | (25, 8) 7777 | 60 38 31 27 26 25 25 | (25, 8) 8001 | 61 38 31 28 26 25 25 | (25, 8) 8101 | 61 39 31 28 26 25 25 | (25, 8) 8401 | 62 39 31 28 26 25 25 | (25, 8) 8749 | 62 39 31 28 26 26 26 26 26 26 | (26, 7) 8821 | 63 39 31 28 26 26 26 26 26 26 | (26, 7) 9001 | 63 40 31 28 26 26 26 26 26 26 | (26, 7) 9073 | 63 40 32 28 26 26 26 26 26 26 | (26, 7) 9217 | 63 40 32 28 27 26 26 26 26 | (26, 8) 9262 | 64 40 32 28 27 26 26 26 26 | (26, 8) 9703 | 65 40 32 28 27 26 26 26 26 | (26, 8) 10001 | 65 41 32 29 27 26 26 26 26 | (26, 8) 10165 | 66 41 32 29 27 26 26 26 26 | (26, 8) 10369 | 66 41 32 29 27 26 26 26 | (26, 8) 10585 | 66 41 33 29 27 26 26 26 | (26, 8) 10649 | 41 33 29 27 26 26 26 | (26, 8) 11001 | 42 33 29 27 26 26 26 | (26, 8) 11665 | 42 33 29 27 27 26 | (26, 9) 12101 | 43 33 29 27 27 26 | (26, 9) 12289 | 43 33 29 28 27 26 | (26, 9) 12349 | 43 34 29 28 27 26 | (26, 9) 12501 | 43 34 30 28 27 26 | (26, 9) 13123 | 43 34 30 28 27 27 27 27 27 | (27, 8) 13311 | 44 34 30 28 27 27 27 27 27 | (27, 8) 13825 | 44 34 30 28 27 27 27 27 | (27, 8) 14407 | 44 35 30 28 27 27 27 27 | (27, 8) 14642 | 45 35 30 28 27 27 27 27 | (27, 8) 15553 | 45 35 30 28 28 27 27 | (27, 9) 15626 | 45 35 31 28 28 27 27 | (27, 9) 15973 | 46 35 31 28 28 27 27 | (27, 9) 16385 | 46 35 31 29 28 27 27 | (27, 9) 16808 | 46 36 31 29 28 27 27 | (27, 9) 17425 | 47 36 31 29 28 27 27 | (27, 9) 17497 | 47 36 31 29 28 27 | (27, 9) 18751 | 47 36 32 29 28 27 | (27, 9) 19009 | 48 36 32 29 28 27 | (27, 9) 19209 | 48 37 32 29 28 27 | (27, 9) 19684 | 48 37 32 29 28 28 28 28 28 | (28, 8) 20481 | 48 37 32 30 28 28 28 28 28 | (28, 8) 20737 | 49 37 32 30 29 28 28 28 | (28, 9) 21953 | 49 38 32 30 29 28 28 28 | (28, 9) 22465 | 50 38 32 30 29 28 28 28 | (28, 9) 22501 | 50 38 33 30 29 28 28 28 | (28, 9) 23329 | 50 38 33 30 29 28 28 | (28, 9) 24337 | 51 38 33 30 29 28 28 | (28, 9) 25089 | 51 39 33 30 29 28 28 | (28, 9) 25601 | 51 39 33 31 29 28 28 | (28, 9) 26245 | 51 39 33 31 29 29 29 29 29 29 | (29, 8) 26365 | 52 39 33 31 29 29 29 29 29 29 | (29, 8) 27001 | 52 39 34 31 29 29 29 29 29 29 | (29, 8) 27649 | 52 39 34 31 30 29 29 29 29 | (29, 9) 28562 | 53 39 34 31 30 29 29 29 29 | (29, 9) 28673 | 53 40 34 31 30 29 29 29 29 | (29, 9) 30759 | 54 40 34 31 30 29 29 29 29 | (29, 9) 31105 | 54 40 34 31 30 29 29 29 | (29, 9) 32001 | 54 40 34 32 30 29 29 29 | (29, 9) 32401 | 54 40 35 32 30 29 29 29 | (29, 9) 32769 | 54 41 35 32 30 29 29 29 | (29, 9) 33125 | 55 41 35 32 30 29 29 29 | (29, 9) 34993 | 55 41 35 32 30 30 29 | (29, 10) 35673 | 56 41 35 32 30 30 29 | (29, 10) 36865 | 56 42 35 32 31 30 29 | (29, 10) 38417 | 57 42 35 32 31 30 29 | (29, 10) 38881 | 57 42 36 32 31 30 29 | (29, 10) 39367 | 57 42 36 32 31 30 30 30 30 30 | (30, 9) 40001 | 57 42 36 33 31 30 30 30 30 30 | (30, 9) 41161 | 58 42 36 33 31 30 30 30 30 30 | (30, 9) 41473 | 58 43 36 33 31 30 30 30 30 | (30, 9) 44101 | 59 43 36 33 31 30 30 30 30 | (30, 9) 46657 | 59 44 37 33 31 31 30 30 | (30, 10) 47251 | 60 44 37 33 31 31 30 30 | (30, 10) 49153 | 60 44 37 33 32 31 30 30 | (30, 10) 50001 | 60 44 37 34 32 31 30 30 | (30, 10) 50626 | 61 44 37 34 32 31 30 30 | (30, 10) 52489 | 61 45 37 34 32 31 30 | (30, 10) 54001 | 62 45 37 34 32 31 30 | (30, 10) 54433 | 62 45 38 34 32 31 30 | (30, 10) 57601 | 63 45 38 34 32 31 30 | (30, 10) 59050 | 63 46 38 34 32 31 31 31 31 31 | (31, 9) 61441 | 64 46 38 34 32 31 31 31 31 31 | (31, 9) 62209 | 64 46 38 34 32 32 31 31 31 | (31, 10) 62501 | 64 46 38 35 32 32 31 31 31 | (31, 10) 63505 | 64 46 39 35 32 32 31 31 31 | (31, 10) 65537 | 65 46 39 35 33 32 31 31 31 | (31, 10) 65611 | 65 47 39 35 33 32 31 31 31 | (31, 10) 69633 | 66 47 39 35 33 32 31 31 31 | (31, 10) 69985 | 66 47 39 35 33 32 31 31 | (31, 10) 72901 | 66 48 39 35 33 32 31 31 | (31, 10) 73985 | 48 39 35 33 32 31 31 | (31, 10) 74089 | 48 40 35 33 32 31 31 | (31, 10) 78126 | 48 40 36 33 32 31 31 | (31, 10) 78733 | 48 40 36 33 32 32 32 32 32 32 | (32, 9) 81001 | 49 40 36 33 32 32 32 32 32 32 | (32, 9) 81921 | 49 40 36 34 32 32 32 32 32 32 | (32, 9) 82945 | 49 40 36 34 33 32 32 32 32 | (32, 10) 86437 | 49 41 36 34 33 32 32 32 32 | (32, 10) 90001 | 50 41 36 34 33 32 32 32 32 | (32, 10) 93313 | 50 41 36 34 33 32 32 32 | (32, 10) 93751 | 50 41 37 34 33 32 32 32 | (32, 10)