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import galois
import numpy as np
MOD = 7514777789
points = []
for line in open('/mnt/user/myang/LLaVA-2/my_code/encoded.txt', 'r').read().strip().split('\n'):
x, y = line.split(' ')
points.append((int(x), int(y)))
GF = galois.GF(MOD)
print(len(points))
matrix = []
solution = []
count = 0
for point in points:
x, y = point
solution.append(GF(y % MOD))
#print("appended")
row = []
for i in range(3):
row.append(GF((x ** i) % MOD))
for i in range(3, len(points)):
row.append(GF(0))
matrix.append(GF(row))
open('/mnt/user/myang/LLaVA-2/my_code/output.bmp', 'wb').write(bytearray(np.linalg.solve(GF(matrix), GF(solution)).tolist()[:-1]))
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