////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page2.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(12,5,10010)

Problem:
10010*x_1+10014*x_2+10015*x_3+10012*x_4+10013*x_5=10016 (mod 10011)
10017*x_1+10022*x_2+10021*x_3+10019*x_4+10020*x_5=10018 (mod 10023)
10025*x_1+10028*x_2+10030*x_3+10024*x_4+10029*x_5=10026 (mod 10027)
10035*x_1+10032*x_2+10034*x_3+10036*x_4+10033*x_5=10031 (mod 10037)
10044*x_1+10041*x_2+10038*x_3+10040*x_4+10043*x_5=10039 (mod 10042)
10049*x_1+10047*x_2+10050*x_3+10051*x_4+10046*x_5=10045 (mod 10048)
10058*x_1+10055*x_2+10056*x_3+10052*x_4+10057*x_5=10053 (mod 10054)
10065*x_1+10063*x_2+10061*x_3+10060*x_4+10064*x_5=10059 (mod 10062)
10070*x_1+10071*x_2+10068*x_3+10072*x_4+10069*x_5=10066 (mod 10067)
10079*x_1+10078*x_2+10077*x_3+10073*x_4+10076*x_5=10075 (mod 10074)
10081*x_1+10080*x_2+10083*x_3+10086*x_4+10082*x_5=10084 (mod 10085)
10088*x_1+10089*x_2+10090*x_3+10091*x_4+10087*x_5=10093 (mod 10092)

Solution:
x_1=670308792099495442577224277601013556606
x_2=664018469133664245462270940880788324925
x_3=5622269875252206652866416586167084357945
x_4=895626360871686311441302248299701840828
x_5=3198665574541736826576079458213220860100