////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page32.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(9,5,10364)

Problem:
10368*x_1+10364*x_2+10367*x_3+10370*x_4+10365*x_5=10366 (mod 10369)
10373*x_1+10376*x_2+10377*x_3+10371*x_4+10375*x_5=10372 (mod 10374)
10381*x_1+10382*x_2+10383*x_3+10384*x_4+10380*x_5=10378 (mod 10379)
10391*x_1+10386*x_2+10385*x_3+10389*x_4+10388*x_5=10387 (mod 10390)
10398*x_1+10392*x_2+10395*x_3+10394*x_4+10396*x_5=10393 (mod 10397)
10400*x_1+10399*x_2+10404*x_3+10405*x_4+10403*x_5=10402 (mod 10401)
10409*x_1+10406*x_2+10408*x_3+10407*x_4+10410*x_5=10412 (mod 10411)
10416*x_1+10417*x_2+10414*x_3+10413*x_4+10418*x_5=10415 (mod 10419)
10426*x_1+10424*x_2+10422*x_3+10425*x_4+10421*x_5=10420 (mod 10423)

Solution:
x_1=466852782429029253427290249086
x_2=112082267866648848977587659329
x_3=430084070736941583510442344450
x_4=651320732638660505069311863200
x_5=215042035368470791755221172225