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1. The following is a recursive algorithm to calculate the k-th power of 2.
Input k a natural numberOutput kth power of 2Algorithem:If k =0then return 1Else return 2* power _of_2(k-1)
Please review the decomposition of a recursive algorithm described in slide #17 (week 1, 3-Recursion-IterativeAlgorithms.pdf). Please show the decomposition whne k = 5.
2. Please write an iterative algorithm to calculate the k-th power of 2. This iterative algorithm should be equivalent to the recursive algorithm in question 1.
3. Reorder the following time efficiencies from largest to smallest:
a) nlog n
b) 52
c) n + n2 + n3 + n4
d) n3
e) n5 log n
4. Determine the big-O notations for the following time efficiencies and reorder them from largest to smallest:
a) 50n3 + n2 + log n + n +10000
b) 2n5 +100n2 +1000log n
c) 200n + n2 log n
d) 10log n + n2 log n +10n4
5. Describe the information flow among DNAs, RNAs, and proteins
Which data structure is used for implementing recursion Stack.
application of threaded binary treee
Q. The reason bubble sort algorithm is inefficient is that it continues execution even after an array is sorted by performing unnecessary comparisons. Therefore, the number of comp
#include #include int sumFact(int numb); int calculateFactorial(int digit); main() { int numb, sumfact; do{ printf ("Enter a number 1 to 9999\n"); scanf("%
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