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What is the time complexity T(n) of the nested loops
below? For simplicity, you may assume that n is a power of
2. That is, n = 2k for some positive integer k.
:
i = n;
while (i >= 1){
j = i;
while (j <= n) {
<body of the inner while loop > //
Needs &#61553;(1).
j = 2 * j;
}
i = &#61675;i/2&#61691;;
}
:

Question Posted / muhammad ijaz khan

Answer Posted / muhammad ijaz khan

The outer loop divides the working area in half in each
iteration. So the running time of this algorithm is
proportional to the number of times n can be divided by 2.
The inner loop will be executed unlimitted time. So
the time complexity of the outer loop will be the function
of ln and the total time is: T(n)= n*ln n

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