////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page23.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(11,5,10246)

Problem:
10246*x_1+10249*x_2+10251*x_3+10247*x_4+10248*x_5=10252 (mod 10250)
10253*x_1+10259*x_2+10258*x_3+10257*x_4+10256*x_5=10254 (mod 10255)
10266*x_1+10260*x_2+10263*x_3+10261*x_4+10265*x_5=10262 (mod 10264)
10270*x_1+10273*x_2+10272*x_3+10268*x_4+10269*x_5=10267 (mod 10271)
10279*x_1+10278*x_2+10275*x_3+10274*x_4+10280*x_5=10276 (mod 10277)
10283*x_1+10285*x_2+10286*x_3+10282*x_4+10287*x_5=10281 (mod 10284)
10288*x_1+10290*x_2+10292*x_3+10294*x_4+10289*x_5=10293 (mod 10291)
10297*x_1+10301*x_2+10296*x_3+10299*x_4+10295*x_5=10300 (mod 10298)
10305*x_1+10303*x_2+10308*x_3+10306*x_4+10304*x_5=10307 (mod 10302)
10315*x_1+10310*x_2+10311*x_3+10314*x_4+10309*x_5=10312 (mod 10313)
10316*x_1+10317*x_2+10320*x_3+10322*x_4+10321*x_5=10319 (mod 10318)

Solution:
x_1=900352010125445973964581280130001
x_2=1871339425956798350894079578877233
x_3=1094342068301393962662981568751279
x_4=1824581905090848440748220393367984
x_5=1456598999862442032530091910671920