# Question: Question 10 (a) You have a list of 1024 sorted numbers and are looking for a particular value. It……

Question 10 (a) You have a list of 1024 sorted numbers and are looking for a particular value. It takes one time unit to compare each number to see if it’s the one you want. ly across the list and the number we are looking for isn’t there, how long will it take to work out that the number isn’t there? You may assume that any operations other than comparison take i. If we searching up negligible time. 2 marks] ii. If we used binary search, how long would it take us, at most, to determine that the number wasn’t there. You may assume that any operations other than comparison take up negligible time. [2 marks] (b) Provide the pseudo code algorithm for selection sort using a single array. [6 marks] [Total for Question 10: 10 marks]

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Question: Question 10 (a) You have a list of 1024 sorted numbers and are looking for a particular value. It……
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1.time complexity for linear search is O(n) . So for 1024 elements it might be 1024 time units.

2.For binary search its O(log n). So it might be log2(1024) its 10 time units.

3.

```   arr  : array of items
s     : size of arr
for i = 1 to n - 1
min = i
for j = i+1 to s
if arr[j] < arr[min] then
min = j;
end if
end for
if indexmin != i  then
swap arr[min] and arr[i]
end if
end for loop
end```

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