TITLE> Small Partitioning Instances
Andrew Caldwell, Andrew Kahng and Igor Markov
last updated Fri Sep 23 1999
| Size | 1 Start Cut | 1 Start Time | 5 Start Cut | 5 Start Time |
| 10 | 6 | 0.00899 | 5 | 0.03343 |
| 11 | 7 | 0.00914 | 6 | 0.03385 |
| 12 | 7 | 0.00921 | 6 | 0.03449 |
| 13 | 7 | 0.00921 | 6 | 0.03468 |
| 14 | 7 | 0.00939 | 6 | 0.03490 |
| 15 | 7 | 0.00934 | 6 | 0.03582 |
| 16 | 7 | 0.00933 | 6 | 0.03621 |
| 17 | 8 | 0.00952 | 7 | 0.03607 |
| 18 | 8 | 0.00968 | 7 | 0.03629 |
| 19 | 8 | 0.00956 | 7 | 0.03656 |
| 20 | 9 | 0.00962 | 7 | 0.03696 |
| 21 | 9 | 0.00967 | 8 | 0.03790 |
| 22 | 10 | 0.00966 | 8 | 0.03750 |
| 23 | 9 | 0.00992 | 8 | 0.03656 |
| 24 | 9 | 0.00975 | 8 | 0.03712 |
| 25 | 9 | 0.00973 | 8 | 0.03623 |
| 26 | 9 | 0.00990 | 8 | 0.03743 |
| 27 | 10 | 0.01002 | 9 | 0.03775 |
| 28 | 10 | 0.01000 | 9 | 0.03812 |
| 29 | 11 | 0.00995 | 9 | 0.03805 |
| 30 | 10 | 0.01022 | 8 | 0.03944 |
| 31 | 10 | 0.01028 | 9 | 0.03927 |
| 32 | 11 | 0.01006 | 9 | 0.03917 |
| 33 | 12 | 0.01004 | 10 | 0.03879 |
| 34 | 10 | 0.01031 | 9 | 0.03983 |
| 35 | 12 | 0.01008 | 11 | 0.04071 |
| 36 | 12 | 0.01046 | 10 | 0.04060 |
| 37 | 12 | 0.01035 | 11 | 0.04057 |
| 38 | 13 | 0.00992 | 11 | 0.04061 |
| 39 | 10 | 0.01029 | 9 | 0.04219 |
| 40 | 10 | 0.01024 | 9 | 0.04168 |
| 41 | 11 | 0.01062 | 10 | 0.04165 |
| 42 | 10 | 0.01053 | 9 | 0.04224 |
| 43 | 12 | 0.01072 | 11 | 0.04216 |
| 44 | 15 | 0.01092 | 14 | 0.04268 |
| 45 | 13 | 0.01089 | 11 | 0.04225 |
| 46 | 11 | 0.01084 | 10 | 0.04326 |
| 47 | 12 | 0.01118 | 11 | 0.04409 |
| 48 | 11 | 0.01063 | 10 | 0.04419 |
| 49 | 14 | 0.01115 | 12 | 0.04439 |
| 50 | 12 | 0.01119 | 10 | 0.04521 |
| 51 | 11 | 0.01186 | 10 | 0.04479 |
| 52 | 13 | 0.01148 | 12 | 0.04526 |
| 53 | 11 | 0.01136 | 10 | 0.04561 |
| 54 | 12 | 0.01181 | 11 | 0.04450 |
| 55 | 13 | 0.01185 | 12 | 0.04585 |
| 56 | 12 | 0.01183 | 12 | 0.04615 |
| 57 | 14 | 0.01146 | 13 | 0.04550 |
| 58 | 12 | 0.01211 | 11 | 0.04744 |
| 59 | 13 | 0.01164 | 12 | 0.04514 |
| 60 | 13 | 0.01183 | 12 | 0.04900 |
| 61 | 14 | 0.01214 | 12 | 0.04957 |
| 62 | 17 | 0.01144 | 15 | 0.04850 |
| 63 | 14 | 0.01312 | 12 | 0.04750 |
| 64 | 15 | 0.01158 | 15 | 0.04617 |
| 65 | 12 | 0.01164 | 11 | 0.04943 |
| 66 | 16 | 0.01225 | 15 | 0.04850 |
| 67 | 16 | 0.01158 | 15 | 0.05017 |
| 68 | 14 | 0.01178 | 12 | 0.04711 |
| 69 | 10 | 0.01288 | 9 | 0.05175 |
| 70 | 20 | 0.01230 | 18 | 0.05150 |
| 71 | 17 | 0.01283 | 15 | 0.05111 |
| 72 | 15 | 0.01219 | 13 | 0.05237 |
| 73 | 19 | 0.01250 | 17 | 0.05175 |
| 74 | 15 | 0.01362 | 14 | 0.05075 |
| 75 | 21 | 0.01254 | 19 | 0.05083 |
| 76 | 19 | 0.01260 | 18 | 0.05620 |
| 77 | 15 | 0.01294 | 14 | 0.05433 |
| 78 | 13 | 0.01250 | 12 | 0.05417 |
| 79 | 15 | 0.01319 | 13 | 0.05312 |
| 80 | 15 | 0.01304 | 14 | 0.05375 |
| 81 | 21 | 0.01325 | 20 | 0.05480 |
| 82 | 14 | 0.01282 | 13 | 0.05455 |
| 83 | 16 | 0.01342 | 15 | 0.05817 |
| 84 | 16 | 0.01275 | 15 | 0.05375 |
| 85 | 17 | 0.01314 | 15 | 0.05518 |
| 86 | 20 | 0.01363 | 18 | 0.05525 |
| 87 | 17 | 0.01358 | 15 | 0.05683 |
| 88 | 17 | 0.01357 | 16 | 0.05543 |
| 89 | 15 | 0.01270 | 14 | 0.05510 |
| 90 | 19 | 0.01412 | 17 | 0.06050 |
| 91 | 18 | 0.01390 | 17 | 0.05540 |
| 92 | 27 | 0.01458 | 23 | 0.05700 |
| 93 | 18 | 0.01375 | 16 | 0.05742 |
| 94 | 16 | 0.01381 | 15 | 0.05850 |
| 95 | 15 | 0.01400 | 14 | 0.05667 |
| 96 | 15 | 0.01333 | 14 | 0.05500 |
| 97 | 13 | 0.01375 | 11 | 0.05725 |
| 98 | 19 | 0.01414 | 17 | 0.05886 |
| 99 | 23 | 0.01375 | 21 | 0.06050 |
| 100 | 22 | 0.01400 | 21 | 0.05975 |
| 101 | 20 | 0.01444 | 19 | 0.05825 |
| 102 | 20 | 0.01400 | 18 | 0.05833 |
| 103 | 18 | 0.01462 | 17 | 0.06250 |
| 104 | 22 | 0.01500 | 20 | 0.05733 |
| 105 | 19 | 0.01414 | 17 | 0.06086 |
| 106 | 13 | 0.01450 | 11 | 0.06180 |
| 107 | 25 | 0.01540 | 22 | 0.06300 |
| 108 | 21 | 0.01570 | 19 | 0.06340 |
| 109 | 39 | 0.01475 | 36 | 0.06225 |
| 110 | 27 | 0.01350 | 25 | 0.06300 |
| 111 | 14 | 0.01525 | 14 | 0.06450 |
| 112 | 12 | 0.01417 | 11 | 0.06067 |
| 113 | 23 | 0.01613 | 21 | 0.06350 |
| 114 | 21 | 0.01560 | 18 | 0.06580 |
| 115 | 20 | 0.01517 | 18 | 0.06533 |
| 116 | 32 | 0.01350 | 28 | 0.06700 |
| 117 | 23 | 0.01400 | 21 | 0.06000 |
| 118 | 28 | 0.01600 | 24 | 0.06550 |
| 119 | 30 | 0.01510 | 28 | 0.06120 |
| 120 | 21 | 0.01450 | 18 | 0.06500 |
| 122 | 13 | 0.01750 | 11 | 0.06600 |
| 123 | 20 | 0.01500 | 17 | 0.06700 |
| 124 | 18 | 0.01562 | 16 | 0.07075 |
| 125 | 29 | 0.01625 | 26 | 0.06700 |
| 126 | 15 | 0.01650 | 10 | 0.06900 |
| 127 | 15 | 0.01550 | 10 | 0.06450 |
| 128 | 16 | 0.01650 | 13 | 0.06800 |
| 129 | 38 | 0.01675 | 36 | 0.06950 |
| 130 | 16 | 0.01350 | 13 | 0.07100 |
| 131 | 28 | 0.01650 | 24 | 0.07300 |
| 133 | 21 | 0.01783 | 19 | 0.06833 |
| 134 | 19 | 0.01638 | 16 | 0.07150 |
| 136 | 21 | 0.01675 | 18 | 0.07350 |
| 137 | 17 | 0.01850 | 13 | 0.06800 |
| 138 | 22 | 0.01537 | 21 | 0.06975 |
| 139 | 20 | 0.02000 | 18 | 0.08200 |
| 140 | 26 | 0.01650 | 22 | 0.06950 |
| 141 | 22 | 0.01600 | 20 | 0.07900 |
| 142 | 21 | 0.01688 | 19 | 0.06800 |
| 144 | 18 | 0.01800 | 16 | 0.07700 |
| 146 | 47 | 0.01725 | 43 | 0.07750 |
| 147 | 31 | 0.01775 | 30 | 0.07200 |
| 148 | 18 | 0.01450 | 12 | 0.07100 |
| 149 | 26 | 0.01550 | 23 | 0.07000 |
| 150 | 11 | 0.01700 | 10 | 0.07400 |
| 151 | 28 | 0.01817 | 24 | 0.07767 |
| 152 | 26 | 0.01783 | 25 | 0.07433 |
| 153 | 18 | 0.02100 | 15 | 0.08100 |
| 154 | 25 | 0.01800 | 22 | 0.07500 |
| 155 | 21 | 0.01850 | 18 | 0.07400 |
| 156 | 22 | 0.01567 | 21 | 0.07167 |
| 157 | 29 | 0.01700 | 26 | 0.06900 |
| 158 | 23 | 0.01890 | 19 | 0.07880 |
| 159 | 35 | 0.01875 | 33 | 0.07350 |
| 160 | 28 | 0.01750 | 24 | 0.07875 |
| 161 | 22 | 0.01825 | 20 | 0.07825 |
| 162 | 29 | 0.01700 | 25 | 0.08250 |
| 163 | 31 | 0.01690 | 28 | 0.07720 |
| 164 | 57 | 0.01750 | 54 | 0.08700 |
| 165 | 28 | 0.01763 | 25 | 0.07925 |
| 166 | 17 | 0.01900 | 16 | 0.07700 |
| 168 | 13 | 0.01675 | 11 | 0.08100 |
| 169 | 29 | 0.01750 | 26 | 0.08150 |
| 170 | 20 | 0.01800 | 19 | 0.07700 |
| 171 | 28 | 0.01950 | 27 | 0.08700 |
| 172 | 28 | 0.01983 | 25 | 0.08433 |
| 173 | 18 | 0.01800 | 15 | 0.07300 |
| 175 | 35 | 0.02025 | 32 | 0.09150 |
| 176 | 27 | 0.01825 | 23 | 0.08100 |
| 177 | 25 | 0.01725 | 22 | 0.08100 |
| 178 | 21 | 0.01850 | 19 | 0.08300 |
| 179 | 27 | 0.01875 | 24 | 0.08550 |
| 180 | 27 | 0.01900 | 24 | 0.07867 |
| 182 | 27 | 0.01900 | 23 | 0.08333 |
| 183 | 48 | 0.02100 | 43 | 0.08700 |
| 184 | 24 | 0.01600 | 22 | 0.08300 |
| 185 | 22 | 0.01883 | 19 | 0.07800 |
| 186 | 32 | 0.02017 | 28 | 0.08967 |
| 188 | 31 | 0.01975 | 29 | 0.08100 |
| 189 | 24 | 0.02043 | 22 | 0.08486 |
| 190 | 6 | 0.01950 | 3 | 0.08900 |
| 191 | 30 | 0.01900 | 26 | 0.08400 |
| 192 | 30 | 0.02013 | 27 | 0.08600 |
| 193 | 35 | 0.02150 | 27 | 0.09150 |
| 194 | 16 | 0.02050 | 14 | 0.08400 |
| 195 | 43 | 0.01900 | 42 | 0.07900 |
| 196 | 38 | 0.02067 | 34 | 0.08600 |
| 198 | 68 | 0.02100 | 61 | 0.09400 |
| 199 | 32 | 0.02100 | 30 | 0.08000 |