////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page36.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(10,5,10443)

Problem:
10446*x_1+10447*x_2+10444*x_3+10445*x_4+10443*x_5=10449 (mod 10448)
10456*x_1+10451*x_2+10452*x_3+10450*x_4+10455*x_5=10453 (mod 10454)
10462*x_1+10458*x_2+10463*x_3+10459*x_4+10457*x_5=10461 (mod 10460)
10470*x_1+10467*x_2+10466*x_3+10469*x_4+10465*x_5=10468 (mod 10464)
10474*x_1+10471*x_2+10472*x_3+10473*x_4+10475*x_5=10477 (mod 10476)
10478*x_1+10483*x_2+10481*x_3+10480*x_4+10479*x_5=10484 (mod 10482)
10485*x_1+10489*x_2+10490*x_3+10488*x_4+10487*x_5=10486 (mod 10491)
10494*x_1+10493*x_2+10492*x_3+10498*x_4+10497*x_5=10496 (mod 10495)
10505*x_1+10499*x_2+10504*x_3+10503*x_4+10501*x_5=10502 (mod 10500)
10506*x_1+10512*x_2+10509*x_3+10510*x_4+10511*x_5=10508 (mod 10507)

Solution:
x_1=180670259498897682345502113029
x_2=102098609544401283863142026752
x_3=113801870483430997977298675200
x_4=182390190676712188853388234753
x_5=96707715392633111008400944128