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 Medium 0.58

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

200,034

395,615

615,525

809,024

965,287

1000 794,811 1,601,383 2,417,196 3,174,772 4,007,897
1500 1,802,811 3,631,334 5,404,590 7,173,892 9,014,363
2000 3,204,808 6,356,991 9,530,793 12,683,629 15,942,854
Problem Set #2
n/d 20% 40% 60% 80% 100%
500

226,913

401,082

578,148

770,136

992,342

1000 804,595 1,576,109 2,407,479 3,222,852 3,982,734
1500 1,825,523 3,559,881 5,355,582 7,237,163 8,984,330
2000 3,189,203 6,377,818 9,463,248 12,811,607 15,954,588
Problem Set #3
n/d 20% 40% 60% 80% 100%
500

213,956

390,347

617,887

786,528

989,662

1000 819,161 1,646,547 2,424,588 3,189,294 3,984,152
1500 1,798,243 3,608,474 5,422,070 7,188,591 8,989,904
2000 3,203,015 6,344,848 9,549,652 12,753,024 15,941,380
Problem Set #4
n/d 20% 40% 60% 80% 100%
500

213,012

402,863

597,303

822,179

1,002,830

1000 793,136 1,599,166 2,415,677 3,198,603 3,953,549
1500 1,821,941 3,573,993 5,422,015 7,146,595 9,026,042
2000 3,142,757 6,330,449 9,617,885 12,768,579 16,024,181
Problem Set #5
n/d 20% 40% 60% 80% 100%
500

202,224

414,101

558,568

806,863

976,013

1000 795,621 1,609,253 2,422,809 3,144,782 4,029,472
1500 1,769,973 3,603,565 5,338,579 7,165,701 8,933,034
2000 3,130,141 6,357,315 9,457,421 12,979,685 15,964,014
 

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Last updated: February 12, 2005.