#FIG 3.1 Landscape Center Inches 1200 2 5 1 0 1 1 7 0 0 -1 0.000 0 1 1 0 6556.500 4312.500 11046 7095 11796 4980 11796 3645 0 0 1.00 60.00 120.00 6 1320 1695 1680 1905 4 1 -1 0 0 18 16 0.0000 4 135 135 1387 1830 c\001 4 1 -1 0 0 0 12 0.0000 4 135 225 1567 1905 0 0\001 -6 6 8250 8580 8610 8790 4 1 -1 0 0 18 16 0.0000 4 135 135 8317 8715 c\001 4 1 -1 0 0 0 12 0.0000 4 90 225 8497 8790 n n\001 -6 6 4350 5850 4725 6150 4 1 -1 0 0 18 16 0.0000 4 135 135 4417 6000 c\001 4 1 -1 0 0 0 12 0.0000 4 180 135 4597 6075 i j\001 -6 6 10725 4050 11100 4350 4 1 -1 0 0 18 16 0.0000 4 135 135 10792 4200 c\001 4 1 -1 0 0 0 12 0.0000 4 180 135 10972 4275 i j\001 -6 6 10575 2550 10800 2850 4 1 -1 0 0 18 16 0.0000 4 165 135 10642 2775 k\001 4 1 -1 0 0 0 12 0.0000 4 135 45 10747 2850 i\001 -6 6 10500 3150 10800 3450 4 1 -1 0 0 18 16 0.0000 4 165 165 10642 3375 rf\001 4 1 -1 0 0 0 12 0.0000 4 135 45 10747 3450 i\001 -6 6 12600 3150 12900 3525 4 1 -1 0 0 0 12 0.0000 4 180 45 12847 3450 j\001 4 1 -1 0 0 18 16 0.0000 4 165 165 12742 3375 rf\001 -6 6 9096 5025 12898 9030 6 10789 7230 11082 7515 4 1 -1 0 0 18 16 0.0000 4 165 150 10864 7395 b\001 4 1 -1 0 0 0 12 0.0000 4 180 135 11014 7470 i j\001 -6 2 2 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 9283 5415 12883 5415 12883 9015 9283 9015 9283 5415 4 1 -1 0 0 0 12 0.0000 4 180 45 10933 5265 j\001 4 1 -1 0 0 0 12 0.0000 4 135 45 9133 7440 i\001 4 1 0 0 0 18 16 0.0000 4 165 1515 9853 5190 "Best" Matrix\001 -6 6 11100 7200 12975 7875 4 0 -1 0 0 0 14 0.0000 4 150 270 11100 7350 = k\001 4 0 -1 0 0 0 14 0.0000 4 150 1785 11175 7575 root of best sub-tree\001 4 0 -1 0 0 0 14 0.0000 4 195 810 11475 7800 from i to j\001 -6 1 3 0 1 1 5 0 0 -1 0.000 1 0.0000 4500 6000 546 546 4500 6000 5046 6546 2 2 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 5 1200 1500 8700 1500 8700 9000 1200 9000 1200 1500 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 1800 1575 1800 8925 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 2400 1575 2400 8925 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 3000 1575 3000 8925 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 8100 1575 8100 8925 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 6900 1575 6900 8925 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 8625 2100 1275 2100 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 8625 2700 1275 2700 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 8625 3300 1275 3300 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 8625 8400 1275 8400 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 8625 7800 1275 7800 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 8625 7200 1275 7200 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 7500 1590 7500 8940 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 4200 1575 4200 8925 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 4800 1575 4800 8925 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 8625 6300 1275 6300 2 1 1 1 -1 7 0 0 -1 4.000 0 0 -1 0 0 2 8625 5700 1275 5700 2 1 0 2 1 7 0 0 -1 0.000 0 0 -1 1 1 2 0 0 1.00 60.00 120.00 0 0 1.00 60.00 120.00 10500 3900 12900 3900 2 1 0 1 1 7 0 0 -1 0.000 0 0 -1 1 0 2 0 0 1.00 60.00 120.00 10650 4200 5025 5850 2 2 0 2 4 7 0 0 -1 0.000 0 0 -1 0 0 5 9300 2400 14700 2400 14700 3600 9300 3600 9300 2400 2 2 0 2 4 7 0 0 -1 0.000 0 0 -1 0 0 5 9300 2400 14700 2400 14700 3000 9300 3000 9300 2400 2 1 0 1 4 4 0 0 -1 0.000 0 0 -1 0 0 2 10800 2400 10800 3600 2 1 0 1 4 4 0 0 -1 0.000 0 0 -1 0 0 2 12900 2400 12900 3600 2 1 0 1 4 4 0 0 -1 0.000 0 0 -1 0 0 2 10500 2400 10500 3600 2 1 0 1 4 4 0 0 -1 0.000 0 0 -1 0 0 2 12600 2400 12600 3600 2 1 0 1 4 4 0 0 -1 0.000 0 0 -1 0 0 2 11691 2415 11691 3615 2 1 0 1 4 4 0 0 -1 0.000 0 0 -1 0 0 2 12006 2385 12006 3585 4 1 -1 0 0 0 12 0.0000 4 135 90 1500 1350 0\001 4 1 -1 0 0 0 12 0.0000 4 135 90 2100 1350 1\001 4 1 -1 0 0 0 12 0.0000 4 135 90 2700 1350 2\001 4 1 -1 0 0 0 12 0.0000 4 90 90 8400 1350 n\001 4 1 -1 0 0 0 12 0.0000 4 135 300 7800 1350 n-1\001 4 1 -1 0 0 0 12 0.0000 4 135 90 900 1875 0\001 4 1 -1 0 0 0 12 0.0000 4 135 90 900 2475 1\001 4 1 -1 0 0 0 12 0.0000 4 135 90 900 3075 2\001 4 1 -1 0 0 0 12 0.0000 4 135 300 900 8175 n-1\001 4 1 -1 0 0 0 12 0.0000 4 90 90 900 8775 n\001 4 1 -1 0 0 0 12 0.0000 4 135 45 900 6075 i\001 4 1 -1 0 0 0 12 0.0000 4 180 45 3900 1350 j\001 4 0 -1 0 0 0 14 0.0000 4 150 1560 11250 4200 = cost of sub-tree\001 4 0 -1 0 0 0 14 0.0000 4 195 810 11625 4425 from i to j\001 4 1 0 0 0 18 16 0.0000 4 165 1290 4200 900 Cost Matrix\001 4 1 0 0 0 18 16 0.0000 4 225 2835 11925 1875 Items to be placed in tree\001 4 1 -1 0 0 0 12 0.0000 4 180 45 10650 2250 j\001 4 1 -1 0 0 0 12 0.0000 4 180 45 12750 2250 j\001 4 1 -1 0 0 18 16 0.0000 4 165 135 12742 2775 k\001 4 1 -1 0 0 0 12 0.0000 4 180 45 12847 2850 j\001 4 1 -1 0 0 18 14 0.0000 4 210 1605 11700 3375 - frequencies -\001 4 1 -1 0 0 18 14 0.0000 4 210 870 11700 2775 - keys -\001 4 1 -1 0 0 0 12 0.0000 4 135 90 11850 2250 k\001