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Alice wants to sign two messages m1 = 100, m2 = 378 with her ElGamal scheme (published values p = 401, = 3, = 173).

Alice wants to sign two messages m1 = 100, m2 = 378 with her ElGamal scheme (published values p = 401, = 3, = 173). However, Alice forgets to change the random number and so the signatures are (100, 191, 212) and (378, 191, 106). Show Eve can exploit this to recover Alices signature a and find its value. [Useful equations: 191.111 1 (mod 400), 53.117 1 (mod 200)].

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