// A CHALLENGE!

// The domain parameters:
p = 72638358609525138288364799574561985391289875569505097189808890901876971607114720675607017744248077251398579420181299551395971804835013836609540245205649601208204770955722497905905642453609671828824219874845865048427891114954796624590474840577353218169542088952958916227784629407200660417487282883629021474007

q = 827466541962012061939724446028541968226575950781

g = 8130664243311892460855220222555219607226895167750309340840043038494840894409750130463155458090372227487206660105797188464427277250585191981913909695442791117048172710771603109278999567038243858433986182655536249869787860051714731397152232056204119236793621734058001464284160581975588269978439199546939911216

// The message that was signed
m = 100

// Six signatures and the 64 least significant bits of the temporaray secrets used:
r1 = 626315844654147262985599729590996409164245325686
s1 = 497557992004724706261206297579007493444845418297
a1 = 18006304663669460737

r2 = 185497815375524304952304308168446119776763955761
s2 = 477944790553462153258528059889129732381121970461
a2 = 12865739748995293873

r3 = 103937689704380587324874494141519021016041141432
s3 = 513325986047223285064697489147361214301076900518
a3 = 2977877418306606279

r4 = 340925224760532183368224555558324597151448835572
s4 = 709935292091776036526277173825579608160215072
a4 = 2738388036677974964

r5 = 114991517465433166237976898590508566587806079700
s5 = 312969405932757852409162456582456600908136029521
a5 = 4798971170467775686

r6 = 796582113213738084335989070826097204852386068902
s6 = 803974743514098358757897428224286037076663367972
a6 = 15076346652173252717

// FIND THE SECRET KEY alpha!