////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page12.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(10,5,10159)

Problem:
10165*x_1+10164*x_2+10159*x_3+10162*x_4+10161*x_5=10160 (mod 10163)
10166*x_1+10168*x_2+10170*x_3+10171*x_4+10172*x_5=10167 (mod 10169)
10175*x_1+10174*x_2+10173*x_3+10176*x_4+10177*x_5=10178 (mod 10179)
10182*x_1+10185*x_2+10181*x_3+10183*x_4+10186*x_5=10180 (mod 10184)
10193*x_1+10192*x_2+10187*x_3+10188*x_4+10190*x_5=10191 (mod 10189)
10200*x_1+10194*x_2+10199*x_3+10198*x_4+10197*x_5=10196 (mod 10195)
10201*x_1+10204*x_2+10206*x_3+10205*x_4+10207*x_5=10203 (mod 10202)
10209*x_1+10211*x_2+10208*x_3+10210*x_4+10212*x_5=10213 (mod 10214)
10220*x_1+10219*x_2+10215*x_3+10221*x_4+10218*x_5=10217 (mod 10216)
10228*x_1+10222*x_2+10227*x_3+10226*x_4+10224*x_5=10223 (mod 10225)

Solution:
x_1=53632573997923640199970371679912218
x_2=25474316036125917481505345552985360
x_3=60981671225368887780627379781104835
x_4=56179964829670550160105538853458785
x_5=30730920932469360771339781936934720