An algorithm is a set of mathematical sequence that can be defined by a set of programming languages that is utilizes certain logic commands that are needed by a computer to complete a defined task. Algorithms can be found just about anywhere, embedded within, any and every computer program or software that one has ever used. It can also be found while conducting a run on the internet search engine and for controlling machinery.
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An algorithm is a methodical approach for solving a problem.
For Example:
1) The algorithm to multiply "A" by "B" is to add "A" to itself "B" times.
2) The algorithm to compute the average of "N" number is to add them up and then divide by "N".
For k = 1 to m -1 Do l = k;// compare the current pair, if first is greater than second, than swap is needed WHILE ( B[ l ] > B [ l+1 ] ) Do Temp : = B[ l ]; // swap is needed B[ l ] : = B[ l+1 ]; B[ l+1 ] : = temp; IF l < > 0 // now, compare next pair back THEN l : = l - 1; END END END |
Let’s take an array of size 5
6 | 2 | 13 | -6 | 17 |
Solution: - For sorting an array in ascending order, the first pass moves the largest value to the end of an array
6 | 2 | 13 | -6 | 17 | 6>2, swap |
2 | 6 | 13 | -6 | 17 | 6<13, ok |
2 | 6 | 13 | -6 | 17 | 13>-6, swap |
2 | 6 | -6 | 13 | 17 | 13<17, ok |
2 | 6 | -6 | 13 | 17 | 2<6, ok |
2 | 6 | -6 | 13 | 17 | 6>-6, swap |
2 | -6 | 6 | 13 | 17 | 6<13, ok |
2 | -6 | 6 | 13 | 17 | 2>-6, swap |
-6 | 2 | 6 | 13 | 17 | 2<6, ok |
-6 | 2 | 6 | 13 | 17 | -6<2, ok |
-6 | 2 | 6 | 13 | 17 | sorted |
Take an array of size 9.
Solution: It takes an unordered collection and makes it an ordered one.
53 | 25 | 92 | 16 | 76 | 30 | 43 | 54 | 19 | swap |
25 | 53 | 92 | 16 | 76 | 30 | 43 | 54 | 19 | ok |
25 | 53 | 92 | 16 | 76 | 30 | 43 | 54 | 19 | swap |
25 | 53 | 16 | 92 | 76 | 30 | 43 | 54 | 19 | swap |
25 | 53 | 16 | 76 | 92 | 30 | 43 | 54 | 19 | swap |
25 | 53 | 16 | 76 | 30 | 92 | 43 | 54 | 19 | swap |
25 | 53 | 16 | 76 | 30 | 43 | 92 | 54 | 19 | swap |
25 | 53 | 16 | 76 | 30 | 43 | 54 | 92 | 19 | swap |
25 | 53 | 16 | 76 | 30 | 43 | 54 | 19 | 92 | 92 in place after first pass |