////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page56.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(9,5,10635)

Problem:
10639*x_1+10637*x_2+10635*x_3+10640*x_4+10641*x_5=10636 (mod 10638)
10645*x_1+10646*x_2+10648*x_3+10644*x_4+10642*x_5=10643 (mod 10647)
10651*x_1+10653*x_2+10655*x_3+10650*x_4+10649*x_5=10652 (mod 10654)
10662*x_1+10659*x_2+10661*x_3+10656*x_4+10660*x_5=10657 (mod 10658)
10668*x_1+10665*x_2+10664*x_3+10669*x_4+10666*x_5=10667 (mod 10663)
10676*x_1+10672*x_2+10674*x_3+10671*x_4+10673*x_5=10675 (mod 10670)
10682*x_1+10679*x_2+10677*x_3+10683*x_4+10680*x_5=10681 (mod 10678)
10690*x_1+10685*x_2+10687*x_3+10684*x_4+10688*x_5=10686 (mod 10689)
10695*x_1+10697*x_2+10693*x_3+10691*x_4+10696*x_5=10692 (mod 10694)

Solution:
x_1=148326005949532753992857484800
x_2=167214481931691025633215245013
x_3=167256824502653657767530735200
x_4=21653785315075696764546389825
x_5=95575328287230661581446134400