import numpy as np
from Crypto.Util.number import *

a, b, c, d = [getPrime(128) for _ in range(4)]
point1 = a * d
point2 = b * c
matrix2 = [[0, a, b], [0, c, d]]

flag = b"flag{test_flag}"
flag = bytes_to_long(flag)


def randomArray():
    upper = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]
    low = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]
    for i in range(3):
        for j in range(i+1, 3):
            upper[i][j] = getPrime(128)
            low[j][i] = getPrime(128)
    result = np.array(upper) @ np.array(low)
    return result

A = np.array([[flag, 0, 0]] + matrix2)
B = randomArray()
MAT = A @ B

print(point1)
print(point2)
print(MAT)

'''
85763755029292607594055805804755756282473763031524911851356658672180185707477
70470862191594893036733540494554536608294230603070251013536189798304544579643
[[73595299897883318809385485549070133693240974831930302408429664709375267345973630251242462442287906226820558620868020093702204534513147710406187365838820773200509683489479230005270823245
  46106113894293637419638880781044700751458754728940339402825975283562443072980134956975133603010158365617690455079648357103963721564427583836974868790823082218575195867647267322046726830
  161159443444728507357705839523372181165265338895748546250868368998015829266587881868060439602487400399254839839711192069105943123376622497847079185]
 [13874395612510317401724273626815493897470313869776776437748145979913315379889260408106588331541371806148807844847909
  17025249852164087827929313934411832021160463738288565876371918871371314930048841650464137478757581505369909723030523
  59510107422473463833740668736202898422777415868238817665123293560097821015330]
 [11314088133820151155755028207579196628679021106024798818326096960197933616112389017957501267749946871903275867785729
  13883500421020573457778249958402264688539607625195400103961001780695107955462968883861677871644577542226749179056659
  48528427402189936709203219516777784993195743269405968907408051071264464132448]]
'''