////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page49.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(10,5,10539)

Problem:
10545*x_1+10542*x_2+10539*x_3+10541*x_4+10544*x_5=10543 (mod 10540)
10552*x_1+10549*x_2+10550*x_3+10546*x_4+10548*x_5=10551 (mod 10547)
10555*x_1+10557*x_2+10558*x_3+10553*x_4+10554*x_5=10559 (mod 10556)
10565*x_1+10561*x_2+10564*x_3+10566*x_4+10562*x_5=10563 (mod 10560)
10567*x_1+10568*x_2+10569*x_3+10570*x_4+10572*x_5=10573 (mod 10571)
10578*x_1+10574*x_2+10575*x_3+10576*x_4+10580*x_5=10579 (mod 10577)
10587*x_1+10583*x_2+10586*x_3+10585*x_4+10584*x_5=10582 (mod 10581)
10593*x_1+10590*x_2+10591*x_3+10592*x_4+10588*x_5=10594 (mod 10589)
10600*x_1+10596*x_2+10598*x_3+10601*x_4+10597*x_5=10599 (mod 10595)
10605*x_1+10607*x_2+10602*x_3+10608*x_4+10603*x_5=10606 (mod 10604)

Solution:
x_1=49070459886981419665588509874877022
x_2=155400649008758183233316172983246505
x_3=157867325977151170268765636046472640
x_4=310801298017516366466632345966493010
x_5=288601205301979483147587178397457795