Christer Nilsson wrote: Ilmari Heikkinen wrote: >> ..., 8740, 4370, 4372, 2186, >> 2188, 1094, 1096, 548, 274, 276, 138, 140, 70, 72, 36, 18, 20, 10, 12, >> 14, 28, 56, 58, 116, 118, 236, 238, 476, 952, 1904, 1906, 3812, 3814, >> 7628, 7630, ... I can confirm that the four digit subproblem 8740 -> 7630 is solved optimally. Is it possible that the complete problem is solved optimally? Christer -- Posted via http://www.ruby-forum.com/.