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 Medium 0.56

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  Best Known Lower Bound to the Maximum
Problem Set #1
n/d 20% 40% 60% 80% 100%
500

180,378

298,738

435,145

581,442

748,296

1000 605,194 1,191,440 1,831,694 2,430,466 3,016,772
1500 1,389,416 2,689,275 4,092,715 5,452,935 6,739,478
2000 2,403,003 4,798,458 7,340,701 9,483,634 11,989,184
Problem Set #2
n/d 20% 40% 60% 80% 100%
500

168,039

303,222

464,778

587,139

769,849

1000 643,662 1,213,826 1,820,502 2,389,476 2,980,131
1500 1,374,041 2,714,167 4,065,510 5,423,455 6,698,152
2000 2,424,764 4,744,229 7,159,465 9,615,560 11,941,922
Problem Set #3
n/d 20% 40% 60% 80% 100%
500

174,003

329,703

454,232

597,668

745,269

1000 637,300 1,184,679 1,793,399 2,331,050 3,027,238
1500 1,345,516 2,780,785 3,991,156 5,384,563 6,743,329
2000 2,411,465 4,868,369 7,300,114 9,715,544 11,985,693
Problem Set #4
n/d 20% 40% 60% 80% 100%
500

164,623

303,742

466,599

627,475

725,773

1000 611,334 1,217,902 1,782,972 2,364,103 3,008,478
1500 1,343,474 2,775,289 4,012,762 5,445,869 6,717,441
2000 2,404,447 4,764,780 7,316,450 9,590,351 11,961,563
Problem Set #5
n/d 20% 40% 60% 80% 100%
500

156,440

292,145

457,115

597,854

746,288

1000 602,870 1,205,189 1,737,105 2,375,280 2,997,609
1500 1,329,575 2,741,502 4,036,020 5,324,464 6,828,495
2000 2,392,327 4,761,078 7,224,349 9,632,115 12,008,496
 

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Last updated: February 12, 2005.