30 lines
1.4 KiB
Python
30 lines
1.4 KiB
Python
#!/usr/bin/env python3
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from gmpy2 import gcd
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from Cryptodome.Util.number import bytes_to_long, getPrime
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def egcd(a, b):
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if (a == 0):
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return (b, 0, 1)
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else:
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g, y, x = egcd(b%a, a)
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return (g, x - (b//a) * y, y)
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# N is the same
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n = 136372941954692995052032614106416002216650352281441768759106047115825257661310123118558086046873251952204915740853517008372422353621244931366409094731856824295828106036399145756514345255241109944294641060644246049854296519101775880563276657142059245230769447888021843340822736997057074223723734593369646608283
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c = [88934261481985787316571946676203348514352494646042103159736155624287938096099586834729171652139440814472420307071476143907698982272593448957770236088603490101924827608944006107576740571416087954304061091614594794358854353419664581332745351113861171522629631586344259719016707622211007808872462656489173218734, 31191490339291402076171068036548032381977184741778243810947202097002026583133103229115040414216968980627919985794378128894603186334221963211692252394535977554990491215621733091487550326776298499502932523408287882489799200954692353162958794137970552454035789701538315132727860436887544051794011893682559545564]
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e = [31, 71]
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#Bezut
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#C1^u*C2^v = m mod n
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res = egcd(e[0],e[1])
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u = res[1]
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v = res[2]
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val = u*e[0] + v * e[1]
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print(val)
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decrypted = pow(c[0],u,n) * pow(c[1],v,n) % n
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print(decrypted.to_bytes(decrypted.bit_length()//8 + 1, byteorder='big').decode())
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