////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page13.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(9,5,10166)

Problem:
10170*x_1+10169*x_2+10166*x_3+10167*x_4+10171*x_5=10168 (mod 10172)
10176*x_1+10173*x_2+10175*x_3+10179*x_4+10174*x_5=10178 (mod 10177)
10186*x_1+10184*x_2+10181*x_3+10180*x_4+10182*x_5=10183 (mod 10185)
10188*x_1+10190*x_2+10192*x_3+10193*x_4+10187*x_5=10189 (mod 10191)
10198*x_1+10194*x_2+10196*x_3+10200*x_4+10199*x_5=10195 (mod 10197)
10204*x_1+10201*x_2+10202*x_3+10203*x_4+10205*x_5=10207 (mod 10206)
10209*x_1+10213*x_2+10214*x_3+10212*x_4+10210*x_5=10211 (mod 10208)
10218*x_1+10216*x_2+10215*x_3+10220*x_4+10219*x_5=10217 (mod 10221)
10222*x_1+10225*x_2+10227*x_3+10226*x_4+10224*x_5=10228 (mod 10223)

Solution:
x_1=1121077363841502802494497883724
x_2=1458974182896604407807094212801
x_3=657020363465741159095937157250
x_4=1565254395315442173140320874625
x_5=1978790741732114549747763673600