from sage.all import *
from Crypto.Util.number import *

flag = b'LILCTF{test_flag}'[7:-1]
lambda1 = bytes_to_long(flag[:len(flag)//2])
lambda2 = bytes_to_long(flag[len(flag)//2:])
p = getPrime(512)
def mul(vector, c):
    return [vector[0]*c, vector[1]*c]

v1 = [getPrime(128), getPrime(128)]
v2 = [getPrime(128), getPrime(128)]

A = matrix(GF(p), [v1, v2])
B = matrix(GF(p), [mul(v1,lambda1), mul(v2,lambda2)])
C = A.inverse() * B

print(f'p = {p}')
print(f'C = {str(C).replace(" ", ",").replace("\n", ",").replace("[,", "[")}')

# p = 9620154777088870694266521670168986508003314866222315790126552504304846236696183733266828489404860276326158191906907396234236947215466295418632056113826161
# C = [7062910478232783138765983170626687981202937184255408287607971780139482616525215270216675887321965798418829038273232695370210503086491228434856538620699645,7096268905956462643320137667780334763649635657732499491108171622164208662688609295607684620630301031789132814209784948222802930089030287484015336757787801],[7341430053606172329602911405905754386729224669425325419124733847060694853483825396200841609125574923525535532184467150746385826443392039086079562905059808,2557244298856087555500538499542298526800377681966907502518580724165363620170968463050152602083665991230143669519866828587671059318627542153367879596260872]