////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page29.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(10,5,10316)

Problem:
10320*x_1+10322*x_2+10318*x_3+10316*x_4+10317*x_5=10321 (mod 10319)
10323*x_1+10325*x_2+10326*x_3+10328*x_4+10329*x_5=10324 (mod 10327)
10331*x_1+10333*x_2+10330*x_3+10336*x_4+10334*x_5=10332 (mod 10335)
10342*x_1+10337*x_2+10339*x_3+10340*x_4+10341*x_5=10338 (mod 10343)
10348*x_1+10347*x_2+10345*x_3+10350*x_4+10344*x_5=10346 (mod 10349)
10351*x_1+10352*x_2+10353*x_3+10356*x_4+10357*x_5=10354 (mod 10355)
10361*x_1+10358*x_2+10363*x_3+10359*x_4+10364*x_5=10362 (mod 10360)
10366*x_1+10370*x_2+10368*x_3+10369*x_4+10367*x_5=10371 (mod 10365)
10373*x_1+10376*x_2+10375*x_3+10372*x_4+10377*x_5=10374 (mod 10378)
10384*x_1+10383*x_2+10379*x_3+10380*x_4+10382*x_5=10381 (mod 10385)

Solution:
x_1=52797276677658259085690657493734272
x_2=27215401680887450948459509147435164
x_3=362872022411832679312793455299135520
x_4=11339750700369771228524795478097985
x_5=192775761906286110884921523127665745