3-OV

Given 3 sets of dd-dimensional vectors A1,A2,A3A_1, A_2, A_3, each of size nn, does there exist a1A1,a2A2,a3A3a_1 \in A_1, a_2 \in A_2, a_3 \in A_3 such that a1a2a3=0a_1 * a_2 * a_3 = 0

Parameters

  • nn: number of vectors per set
  • dd: dimension of each vector; d=omega(log(n))d = omega(log(n))

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