////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page3.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(11,5,10023)

Problem:
10027*x_1+10029*x_2+10025*x_3+10026*x_4+10024*x_5=10023 (mod 10028)
10031*x_1+10032*x_2+10034*x_3+10030*x_4+10036*x_5=10033 (mod 10035)
10039*x_1+10043*x_2+10041*x_3+10042*x_4+10038*x_5=10037 (mod 10040)
10046*x_1+10049*x_2+10044*x_3+10047*x_4+10045*x_5=10050 (mod 10048)
10056*x_1+10052*x_2+10053*x_3+10054*x_4+10051*x_5=10057 (mod 10055)
10060*x_1+10061*x_2+10062*x_3+10064*x_4+10058*x_5=10063 (mod 10059)
10065*x_1+10068*x_2+10070*x_3+10067*x_4+10066*x_5=10069 (mod 10071)
10074*x_1+10075*x_2+10078*x_3+10077*x_4+10073*x_5=10072 (mod 10076)
10081*x_1+10085*x_2+10080*x_3+10079*x_4+10083*x_5=10082 (mod 10084)
10089*x_1+10091*x_2+10088*x_3+10086*x_4+10090*x_5=10092 (mod 10087)
10098*x_1+10097*x_2+10096*x_3+10099*x_4+10093*x_5=10094 (mod 10095)

Solution:
x_1=42176573005888183327395684407347623
x_2=14203790153958407492218126364909250
x_3=23348040529375129290872138269905625
x_4=30819413498775170663951222516275425
x_5=37681707150017599968572772720821600