1. [2 pts] divide-and-conquer. suppose a recursive divide-and-conquer algorithm partitions the original problem into 5 sub-problems, each of size n/3, and that it spends o(n) time to partition the original problem into sub-problems and o(n log n) time to combine the sub-problem solutions into the solution to the original problem, where n is the input size. write down the recurrence relation representing the running time of this algorithm:

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