> restart; read `d:/Ake/Schur/SchurProblem.txt`; Welcome to SchurProblem, a Maple package written by Thotsaporn (Aek) Thanatipanonda with help from his lovely twin brother A. First Version: June, 27 2007 It accompanies the article: On the monochromatic Schur Triples type problem by Thotsaporn (Aek) Thanatipanonda available from authors' website http://www.math.rutgers.edu/~thot > t:= time():LowerBound(2, [1]); print("CPU time is",time()-t); > > [1/32, 7/16, {[{R[1] = 1/4, R[2] = 1/4}, 7/16]}] "CPU time is", 0.047 > t:= time():LowerBound(3, [1,0]);print("CPU time is",time()-t); > [1/24, 5/12, {[{R[1] = 0, R[2] = 1/3, R[3] = 1/6}, 5/12], [{R[3] = 1/6, R[2] = 0, R[1] = 1/3}, 5/12]}] "CPU time is", 0.109 > t:= time():LowerBound(11, [0,1,1,1,0,0]);print("CPU time is",time()-t); > > [1/22, 9/22, {[{R[10] = 0, R[11] = 1/11, R[2] = 0, R[4] = 1/11, R[3] = 0, R[5] = 0, R[6] = 1/11, R[9] = 1/11, R[1] = 0, R[7] = 1/11, R[8] = 1/11}, 9/22], [{R[10] = 0, R[11] = 1/11, R[2] = 1/11, R[3] = 1/11, R[1] = 1/11, R[6] = 0, R[7] = 0, R[8] = 0, R[9] = 0, R[5] = 1/11, R[4] = 0}, 9/22], [{ R[10] = 0, R[11] = 1/11, R[5] = 1/11, R[4] = 0, R[2] = 0, R[3] = 0, R[6] = 1/11, R[9] = 1/11, R[1] = 0, R[7] = 1/11, R[8] = 1/11}, 9/22], [{R[2] = 0, R[10] = 1/11, R[4] = 1/11, R[3] = 0, R[5] = 0, R[11] = 0, R[6] = 1/11, R[9] = 1/11, R[1] = 0, R[7] = 1/11, R[8] = 1/11}, 9/22], [{R[10] = 0, R[11] = 1/11, R[2] = 1/11, R[3] = 1/11, R[1] = 1/11, R[6] = 0, R[7] = 0, R[8] = 0, R[9] = 0, R[4] = 1/11, R[5] = 0}, 9/22], [{R[2] = 1/11, R[3] = 1/11, R[1] = 1/11, R[6] = 0, R[7] = 0, R[8] = 0, R[9] = 0, R[10] = 1/11, R[4] = 1/11, R[5] = 0, R[11] = 0}, 9/22], [{R[5] = 1/11, R[4] = 0, R[2] = 0, R[10] = 1/11, R[3] = 0, R[11] = 0, R[6] = 1/11, R[9] = 1/11, R[1] = 0, R[7] = 1/11, R[8] = 1/11}, 9/22], [{R[2] = 1/11, R[3] = 1/11, R[1] = 1/11, R[6] = 0, R[7] = 0, R[8] = 0, R[9] = 0, R[5] = 1/11, R[4] = 0, R[10] = 1/11, R[11] = 0}, 9/22]}] "CPU time is", 6723.182 >