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.
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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![Consider the program below which preprocesses a vector.
olt
void triplesort(vector<int>& v,int lo,int hi) idengd
{
if (hi == lo) { if (v[lo] > v[hi]) swap(v[lo],v[hi]); }
else
hooD
MAHT
fooda
{
triplesort the first 2/3s of v[lo..hi];
triplesort the second 2/3s of v[lo..hi];
letiog lo dmun a be triplesort the first 2/3s of v[lo..hi];
return;
ad ban
al sda o
villatieg o1s
ad l sio
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.
om hom G Orer po n o bopre](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25c83e1b-28f1-4d0a-bedf-595826342e40%2F93ddbf4a-4b57-46ad-bb4a-24aafabb8072%2F7v7pgf8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the program below which preprocesses a vector.
olt
void triplesort(vector<int>& v,int lo,int hi) idengd
{
if (hi == lo) { if (v[lo] > v[hi]) swap(v[lo],v[hi]); }
else
hooD
MAHT
fooda
{
triplesort the first 2/3s of v[lo..hi];
triplesort the second 2/3s of v[lo..hi];
letiog lo dmun a be triplesort the first 2/3s of v[lo..hi];
return;
ad ban
al sda o
villatieg o1s
ad l sio
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.
om hom G Orer po n o bopre
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