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A telephone directory having n = 10 records and Name field as key. Let us assume that the names are stored in array 'm' i.e. m(0) to m(9) and the search has to be made for name "X", i.e. element = "X".
Telephone Directory
Name id.
AA 25161234
BB 22752345
CC 23405678
DD 22361111
EE 24782202
FF 26254444
GG 26150880
HH 25513653
II 26252794
KK 26257149
The above algorithm will search for element = "GG" and will stop at 6th index of array and the needed id is "26150880", which is stored at position 7 i.e. 6+1.
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Q. Write down the binary search algorithm and trace to search element 91 in following given list: 13 30 62 73 81 88 91
Best Case: If the list is sorted already then A[i] T (n) = c1n + c2 (n -1) + c3(n -1) + c4 (n -1) = O (n), which indicates that the time complexity is linear. Worst Case:
Data array A has data series from 1,000,000 to 1 with step size 1, which is in perfect decreasing order. Data array B has data series from 1 to 1,000,000, which is in random order.
A set s is conveniently shown in a computer store by its characteristic function C(s). This is an array of logical numbers whose ith element has the meaning "i is present in s". As
for i=1 to n if a[i}>7 for j=2 to n a[j]=a{j}+j for n=2 to n a[k]=a[j]+i else if a[1]>4 && a[1] for 2 to a[1] a[j]= a{j]+5 else for 2to n a[j]=a[j]+i ..
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