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Write an algorithm for searching a key from a sorted list using binary search technique
1. if (low > high)
2. return (-1)
3. mid = (low +high)/2;
4 .if ( X = = a [mid])
5 return (mid);
6 if ( X < a [mid])
7 search for X in a (low) to [mid -1];
8 else
9 search for X in a [mid + 1] to a [high];
Which sorting algorithms does not have a worst case running time of O (n 2 ) ? Merge sort
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Each of the comparison in the binary search decrease the number of possible candidates where the key value can be searched by a factor of 2 as the array is divided into two halves
important points on asymptotic notation to remember
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An interesting application or implementation of trees is the playing of games such as tie-tac-toe, chess, nim, kalam, chess, go etc. We can depict the sequence of possible moves
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compare and contrast the bubble sort,quick sort,merge sort and radix sort
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