1] represent an array with length n and indices 0 to n – 1. if i > j in A[i..)]

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Let A[0..n – 1] represent an array with length n and indices 0 to n – 1. if i > j in A[i..)]

 

Let A[0..n – 1] represent an array with length n and indices 0 to n – 1. If i > j in A[i..j],
-
then we say A is an empty array.
Define a function foo () as follows.
foo (A[O..n-1]) {
if n < 2
return 1;
i = 1
while i <= n:
boo (A[O.. i/2])
i = i * 2
a = foo (A[0.. (n/2)-1])
b = foo (A[n/3.. 2n/3-1])
c = foo (A[2n/3. . n-1])
return a +b + c
}
Suppose boo ()'s runtime is O(m), where m is the size of the input array for boo ().
What is the recurrence for the fo0 () function? Assume the arrays are passed by reference
instead of by data, i.e., the function calls themselves take O(1) time.
Transcribed Image Text:Let A[0..n – 1] represent an array with length n and indices 0 to n – 1. If i > j in A[i..j], - then we say A is an empty array. Define a function foo () as follows. foo (A[O..n-1]) { if n < 2 return 1; i = 1 while i <= n: boo (A[O.. i/2]) i = i * 2 a = foo (A[0.. (n/2)-1]) b = foo (A[n/3.. 2n/3-1]) c = foo (A[2n/3. . n-1]) return a +b + c } Suppose boo ()'s runtime is O(m), where m is the size of the input array for boo (). What is the recurrence for the fo0 () function? Assume the arrays are passed by reference instead of by data, i.e., the function calls themselves take O(1) time.
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