Consider the program below which preprocesses a vector. void triplesort(vector& v,int lo,int hi) { if (hi hooD lo) { if (v[lo) > v[hi]) swap(v[lo),v[hi); } { triplesort the first 2/3s of v[lo..hi]; triplesort the second 2/3s of v[lo..hi); foode else letelog to lmun e ber triplesort the first 2/3s of v[lo..hi]; return; ola nd dou t og ad obrap e dec a. Define a recurrence relation WITH BOUNDARY CONDITIONS as a function of the vector length which satisfies the time complexity of the program. b. Solve the recurrence relation.

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