////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page27.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(9,5,10295)

Problem:
10296*x_1+10297*x_2+10299*x_3+10295*x_4+10300*x_5=10301 (mod 10298)
10306*x_1+10308*x_2+10302*x_3+10304*x_4+10303*x_5=10305 (mod 10307)
10309*x_1+10315*x_2+10312*x_3+10314*x_4+10310*x_5=10313 (mod 10311)
10318*x_1+10321*x_2+10317*x_3+10316*x_4+10322*x_5=10320 (mod 10319)
10326*x_1+10328*x_2+10327*x_3+10324*x_4+10325*x_5=10323 (mod 10329)
10334*x_1+10335*x_2+10331*x_3+10332*x_4+10333*x_5=10336 (mod 10330)
10337*x_1+10338*x_2+10340*x_3+10341*x_4+10342*x_5=10343 (mod 10339)
10350*x_1+10348*x_2+10349*x_3+10347*x_4+10344*x_5=10345 (mod 10346)
10352*x_1+10357*x_2+10355*x_3+10354*x_4+10351*x_5=10356 (mod 10353)

Solution:
x_1=24640895315461800909780950315561
x_2=7988461076183541308322538691428
x_3=25758970826865718390689714729525
x_4=4134155811719189371345262857825
x_5=12720479420674428834908501101000