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 Medium 0.52

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

95,962

168,401

221,793

269,441

306,041

1000 341,888 521,469 734,924 933,252 1,104,408
1500 676,902 1,100,745 1,580,254 1,965,558 2,451,606
2000 1,077,402 1,870,699 2,643,926 3,330,675 4,070,809
Problem Set #2
n/d 20% 40% 60% 80% 100%
500

101,846

163,222

225,838

278,815

318,123

1000 330,789 543,320 720,547 891,728 1,144,926
1500 660,291 1,149,952 1,544,657 1,980,285 2,395,757
2000 1,126,962 1,892,723 2,631,411 3,424,512 3,982,256
Problem Set #3
n/d 20% 40% 60% 80% 100%
500

113,433

160,022

229,359

254,776

310,376

1000 330,313 521,258 746,226 958,402 1,099,027
1500 646,024 1,144,956 1,498,911 1,988,000 2,277,383
2000 1,108,738 1,933,801 2,602,084 3,316,081 4,081,237
Problem Set #4
n/d 20% 40% 60% 80% 100%
500

110,054

163,400

227,994

275,079

298,370

1000 338,493 528,549 745,246 912,706 1,109,697
1500 661,782 1,041,827 1,527,315 1,968,212 2,307,169
2000 1,054,857 1,889,310 2,596,106 3,263,464 4,208,657
Problem Set #5
n/d 20% 40% 60% 80% 100%
500

107,443

167,519

204,400

264,154

295,350

1000 341,817 531,170 711,242 949,723 1,108,344
1500 676,534 1,092,978 1,520,209 1,928,977 2,385,711
2000 1,061,209 1,740,347 2,580,233 3,426,970 4,172,264
 

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Last updated: February 12, 2005.