Question: 6. (10 pts.) Triple sum Design an efcient algorithm for the following problem. We are given an array A[0..n 1] with n elements, where each

6. (10 pts.) Triple sum Design an efcient algorithm for the following problem. We are given an array A[0..n 1] with n elements, where each element of A is an integer in the range 0 S A[i] g 10:2. We are also given an integer t. The algorithm must answer the following yesorno question: does there exist indices i, j,k such that A[i] + AU] +A[k] = it? Design an 0(n lg n) time algorithm for this problem. Hint: dene a polynomial of degree 0(n) based upon A, then use FFI' for fast polynomial multiplication. Reminder: don't forget to include explanation, pseudocode, running time analysis, and proof of correctness

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