////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page31.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(6,5,10356)

Problem:
10362*x_1+10358*x_2+10360*x_3+10359*x_4+10356*x_5=10357 (mod 10361)
10367*x_1+10364*x_2+10365*x_3+10368*x_4+10369*x_5=10363 (mod 10366)
10372*x_1+10376*x_2+10371*x_3+10370*x_4+10373*x_5=10375 (mod 10374)
10382*x_1+10383*x_2+10377*x_3+10381*x_4+10380*x_5=10379 (mod 10378)
10385*x_1+10388*x_2+10386*x_3+10389*x_4+10390*x_5=10384 (mod 10387)
10392*x_1+10391*x_2+10396*x_3+10397*x_4+10393*x_5=10395 (mod 10394)

Solution:
x_1=1291780483393441921
x_2=1386124956043596020
x_3=1256170594299420800
x_4=232361363536876035
x_5=599247727016153985