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 Medium 0.54

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

121,737

232,434

334,819

409,122

546,352

1000 468,563 831,242 1,237,186 1,635,749 2,021,540
1500 963,547 1,874,286 2,697,864 3,551,128 4,563,691
2000 1,621,854 3,249,034 4,798,325 6,523,160 7,862,809
Problem Set #2
n/d 20% 40% 60% 80% 100%
500

130,824

208,811

337,010

391,390

509,846

1000 429,119 839,474 1,222,456 1,591,522 2,024,438
1500 964,916 1,827,957 2,729,939 3,709,412 4,508,444
2000 1,762,744 3,253,934 4,815,937 6,523,888 7,951,662
Problem Set #3
n/d 20% 40% 60% 80% 100%
500

136,920

218,919

305,734

376,562

519,306

1000 453,282 825,207 1,221,248 1,583,292 2,030,280
1500 941,475 1,817,056 2,740,199 3,531,989 4,430,928
2000 1,744,707 3,265,718 4,799,801 6,487,794 7,943,183
Problem Set #4
n/d 20% 40% 60% 80% 100%
500

137,014

239,455

322,763

413,808

498,269

1000 464,069 860,189 1,204,945 1,665,058 1,967,263
1500 995,305 1,812,837 2,689,847 3,644,692 4,545,635
2000 1,646,599 3,182,215 4,745,492 6,390,356 7,857,009
Problem Set #5
n/d 20% 40% 60% 80% 100%
500

135,271

228,548

320,064

426,134

490,685

1000 472,361 852,397 1,198,564 1,607,077 2,003,062
1500 1,017,394 1,843,719 2,725,478 3,632,128 4,440,778
2000 1,656,376 3,193,117 4,741,211 6,375,558 8,123,923
 

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Last updated: February 12, 2005.