Data Structure – ETE Paper

Guys, Here is the paper of previous year of Data Structure. The Slides regarding to same subject is uploaded on the blog.
Visit Here For Theory Section : – Theory Part For Data Structure
Visit Here For Animated Example : – Animated Examples of Data Structure
Visit Here For Programs and Algorithms : – Algorithm and Programs

The Paper Goes Here……

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Heapsort – C++

Heap sort is simple to implement, performs an O(n·lg(n)) in-place sort, but is not stable.

The first loop, the Θ(n) “heapify” phase, puts the array into heap order. The second loop, the O(n·lg(n)) “sortdown” phase, repeatedly extracts the maximum and restores heap order.
Example –
Sorting_heapsort_anim

  • Not stable
  • O(1) extra space (see discussion)
  • O(n·lg(n)) time
  • Not really adaptive

Algorithm –

(1) for x on list L do
(2) INSERT(x, S);
(3) while not EMPTY(S) do begin
(4) y := MIN(S);
(5) writeln(y);
(6) DELETE(y, S)
end

Click Down For Program –

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Floyd-Warshall’s Algorithm – C++

Floyd-Warshall algorithm known as Modified Warshall’s Algorithm used to solve the All-Pairs Shortest Path problem in Graphs. The Algorithm’s time complexity is O(n3) for a graph with n nodes.

Algorithm–

For each vertex v
	dist[v][v] ← 0
For each edge (u,v)
	dist[u][v] ← w(u,v) 
For k from 1 to |V|       
	for i from 1 to |V|
		for j from 1 to |V|
			if dist[i][k] + dist[k][j] < dist[i][j] then   
				dist[i][j] ← dist[i][k] + dist[k][j]  

Click below for Program –

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Dijkstra Algorithm : PPT

DIJKSTRA (G, w, s)

  1. INITIALIZE SINGLE-SOURCE (G, s)
  2. S ← { }     // S will ultimately contains vertices of final shortest-path weights from s
  3. Initialize priority queue Q i.e., Q  ←  V[G]
  4. while priority queue Q  is not empty do
  5. u  ←  EXTRACT_MIN(Q)    // Pull out new vertex
  6.     S  ←  S È {u}
        // Perform relaxation for each vertex v adjacent to u
  7.     for each vertex v in Adj[u] do
  8.         Relax (u, v, w)

Above is the algorithm for dijkstra’s minimum path. Click below for more…

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Minimum Spanning Tree : PPT

A subgraph that spans (reaches out to ) all vertices of a graph is called a spanning subgraph.

A subgraph that is a tree and that spans (reaches out to ) all vertices of the original graph is called a spanning tree.

Among all the spanning trees of a weighted and connected graph, the one (possibly more) with the least total weight is called a minimum spanning tree (MST).

Click Below For More

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HUFFMAN CODING :PPT

Huffman coding is a coding technique for lossless compression of data base based upon the frequency of occurance of a symbol in that file.

In huffman coding every Data is based upon 0’s and 1’s which reduces the size of file.

Using binary representation, the number of bits required to represent each character depends upon the number of characters that have to be represented. Using one bit we can represent two characters, i.e., 0 represents the first character and 1 represents the second character.

Click Below for More – –

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Student Report Card Project : c++

Here is how we all can create a software based on C++ without a GUI. Graphic will be generated through <graphic.h> and <windows.h> but all we need is an algorithm and logic to impplement it. How we store data, how we create record and how we manipulate them.

Even With this program you can get the logic to create it, with all extra functions.

We try to implement every single phenomena which will help you to understand the logic.

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