////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page5.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(10,5,10058)

Problem:
10062*x_1+10060*x_2+10059*x_3+10064*x_4+10058*x_5=10063 (mod 10061)
10067*x_1+10068*x_2+10065*x_3+10066*x_4+10070*x_5=10071 (mod 10069)
10077*x_1+10076*x_2+10074*x_3+10078*x_4+10073*x_5=10072 (mod 10075)
10085*x_1+10083*x_2+10080*x_3+10079*x_4+10084*x_5=10082 (mod 10081)
10088*x_1+10091*x_2+10092*x_3+10086*x_4+10089*x_5=10087 (mod 10090)
10095*x_1+10093*x_2+10096*x_3+10099*x_4+10098*x_5=10097 (mod 10094)
10100*x_1+10105*x_2+10104*x_3+10106*x_4+10102*x_5=10103 (mod 10101)
10110*x_1+10113*x_2+10109*x_3+10107*x_4+10108*x_5=10112 (mod 10111)
10117*x_1+10119*x_2+10115*x_3+10118*x_4+10120*x_5=10114 (mod 10116)
10126*x_1+10125*x_2+10123*x_3+10127*x_4+10122*x_5=10124 (mod 10121)

Solution:
x_1=230965848138425807465931689957299475
x_2=204935589973278790707650464919383360
x_3=256626932979931699970964086651281395
x_4=295509801613254684815049554325717970
x_5=46659442359987581812902561209323890