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Known value of A ( 0 <= A < 2^32), and
D1 = A XOR (B1 XOR ... XOR Bn);
D2 = A AND (B1 AND B2 AND ... AND Bn);
D3 = A OR (B1 OR B2 OR ... OR Bn)
values. (0<= D1,D2,D3 < 2^32) but, B1, B2,..,Bn — are unknown values in [0 .. 2^32-1].
Can I find X = B1 AND B2 AND .. AND Bn ??
Thanks.
A = 0 D1 = 1 D2 = 0 D3 = 1 X can be 0 or 1. Example :
B1 ^ B2 ^ B3 ^ B4 ^ B5 = 1
B1 & B2 & B3 & B4 & B5 = 0
B1 | B2 | B3 | B4 | B5 = 1
Values of B_i : 1 1 1 0 0
B1 ^ B2 ^ B3 ^ B4 ^ B5 = 1
B1 & B2 & B3 & B4 & B5 = 1
B1 | B2 | B3 | B4 | B5 = 1
Values of B_i : 1 1 1 1 1
So, You don't know this value. Sorry for bad \n :)