# Bucket sort Algorithm Assignment Help

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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## What is an Algorithm?

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".

### What is Bucket Sort Algorithm?

1. Bucket sort is also known as bin sort. This type of sorting is a distribution sorting algorithm.
2. It is a generalisation of counting_sort, and works on the key sorted consistently with the range i.e 1 to n
3. It is a stable_sort, where the same key is preserved for any two items of the relative order.

 1.  Assume M integers to be sorted, each isin the range 1 to N.2.  Define an array A[ 1 .. M ],     initialize allto 0 => 0( N )3.  scan through the input list B[ i ],     insert B[ i ] into A[ B[ i ]] => O( M )4.  Scan A once, read out the nonzero integers => O( N )

Total time: O( M + N )

1. if M is O( M ), then total time is O( M )
2. can be bad if range is very big, e.g N= O( M2 )

i.e, if  N= 7, M= 9,

Want to sort 8, 1, 9, 5, 2, 6, 3

 1 2 3 5 6 8 9

Output: 1 2 3 5 6 8 9

Pseudo code of bucket sort is:

 BUCKET_SORT ( B )n <- length[ B ]for j <- 1 to mdo insert B[ j ] into list C[|m B[ j ]|]for j <- 0 to m - 1do sort_list c[ j ] // with insertion_sortConcatenate the lists c[ 0 ], c[ 1 ],.... c[ m-1 ] together in order