////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page26.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(9,5,10293)

Problem:
10298*x_1+10299*x_2+10294*x_3+10293*x_4+10297*x_5=10295 (mod 10296)
10305*x_1+10306*x_2+10302*x_3+10300*x_4+10301*x_5=10304 (mod 10303)
10308*x_1+10312*x_2+10313*x_3+10309*x_4+10311*x_5=10307 (mod 10310)
10317*x_1+10314*x_2+10320*x_3+10315*x_4+10318*x_5=10319 (mod 10316)
10321*x_1+10327*x_2+10322*x_3+10324*x_4+10323*x_5=10326 (mod 10325)
10328*x_1+10329*x_2+10332*x_3+10330*x_4+10333*x_5=10331 (mod 10334)
10337*x_1+10339*x_2+10341*x_3+10335*x_4+10336*x_5=10340 (mod 10338)
10348*x_1+10344*x_2+10346*x_3+10347*x_4+10345*x_5=10343 (mod 10342)
10349*x_1+10352*x_2+10351*x_3+10355*x_4+10353*x_5=10350 (mod 10354)

Solution:
x_1=940263988558427149873784503404000
x_2=762672922493039698464505790192694
x_3=404447761928127112822086403890065
x_4=1213343285784381338466259211670195
x_5=866673775560272384618756579764425