You are given an integer array X[1, . . . , n]. You should move each element of X[1, . . . , n] into one of the two arrays A and B such that A and B are non-empty and average(A) = average(B). Return true if it is possible to achieve that and false otherwise. Note that for an array A, average(A) is the sum of all the elements of A over the length of A. Precisely define the subproblem. Provide the recurrence equation. Describe the algorithm in pseudocode to compute the optimal value. Describe the algorithm in pseudocode to print out an optimal solution.

Computer Networking: A Top-Down Approach (7th Edition)
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You are given an integer array X[1, . . . , n]. You should move each element of X[1, . . . , n] into one of the two arrays A and B such that A and B are non-empty and average(A) = average(B). Return true if it is possible to achieve that and false otherwise. Note that for an array A, average(A) is the sum of all the elements of A over the length of A.

Precisely define the subproblem.
Provide the recurrence equation.
Describe the algorithm in pseudocode to compute the optimal value.
Describe the algorithm in pseudocode to print out an optimal solution.

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