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What is the time complexity of these algorithms, in terms of n? [Sum += y is a s

ID: 3760050 • Letter: W

Question

What is the time complexity of these algorithms, in terms of n? [Sum += y is a short form notation for Sum = Sum + y.] (Only write answers, NO explanations]

for   (int i   = 1 to n)   {

   j   = 1

while   (j   < n)   {

k = j

while   (k < n)   {

Sum += a[i]*b[j]*c[k] k += log log n

}

j += log   (j+5)

int j = 2

while   (j   < n)   {

int k = j

while   (k < n)   {

Sum += a[k]*b[k]

k +=   r11/3   log   n

}

j   = j*sqrt(5)

}

int j = 2

while   (j   < n)   {

int k = 3

while   (k < n)   {

Sum += a[j]b[k]

k+= sq rt (n)

}

j++

}

subjact

design and analysis algorithm

Explanation / Answer

1) O(log n)

2) O(n^5 log n)

3) O(n^2)

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