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Found 210 Articles for Analysis of Algorithms
![Arnab Chakraborty](https://www.tutorialspoint.com/assets/profiles/123881/profile/60_2940367-1661162113.png)
19K+ Views
In this section we will see how to multiply two matrices. The matrix multiplication can only be performed, if it satisfies this condition. Suppose two matrices are A and B, and their dimensions are A (m x n) and B (p x q) the resultant matrix can be found if and only if n = p. Then the order of the resultant matrix C will be (m x q).AlgorithmmatrixMultiply(A, B): Assume dimension of A is (m x n), dimension of B is (p x q) Begin if n is not same as p, then exit otherwise define C ... Read More
![Arnab Chakraborty](https://www.tutorialspoint.com/assets/profiles/123881/profile/60_2940367-1661162113.png)
8K+ Views
The step count method is one of the method to analyze the algorithm. In this method, we count number of times one instruction is executing. From that we will try to find the complexity of the algorithm.Suppose we have one algorithm to perform sequential search. Suppose each instruction will take c1, c2, …. amount of time to execute, then we will try to find out the time complexity of this algorithmAlgorithmNumber of timesCostseqSearch(arr, n, key)i := 0while i < n, do if arr[i] = key, then break end ifdonereturn i1n+1n0/11c1c2c3c4c5Now if we add the cost by multiplying the ... Read More
![Arnab Chakraborty](https://www.tutorialspoint.com/assets/profiles/123881/profile/60_2940367-1661162113.png)
522 Views
Queue is First In First Out data structure. The queue is used in different area for graph traversal algorithms Breadth First Search etc. The queue has some primitive operations. Here we will see those operations of queue, and see one example using the queue ADT.The ADT (abstract datatype) is special kind of datatype, whose behavior is defined by a set of values and set of operations. The keyword “Abstract” is used as we can use these datatypes, we can perform different operations. But how those operations are working that is totally hidden from the user. The ADT is made of ... Read More
![Arnab Chakraborty](https://www.tutorialspoint.com/assets/profiles/123881/profile/60_2940367-1661162113.png)
4K+ Views
Here we will see what is tail recursion. The tail recursion is basically using the recursive function as the last statement of the function. So when nothing is left to do after coming back from the recursive call, that is called tail recursion. We will see one example of tail recursion.Example Live Demo#include using namespace std; void printN(int n){ if(n < 0){ return; } cout
![Arnab Chakraborty](https://www.tutorialspoint.com/assets/profiles/123881/profile/60_2940367-1661162113.png)
6K+ Views
Stack is Last In First Out data structure. The stack is used in different area for evaluating expressions, call and recursion strategy etc. The stack has some primitive operations. Here we will see those operations of stack, and see one example using the stack ADT.The ADT (abstract datatype) is special kind of datatype, whose behavior is defined by a set of values and set of operations. The keyword “Abstract” is used as we can use these datatypes, we can perform different operations. But how those operations are working that is totally hidden from the user. The ADT is made of ... Read More
![Arnab Chakraborty](https://www.tutorialspoint.com/assets/profiles/123881/profile/60_2940367-1661162113.png)
28K+ Views
The Data Type is basically a type of data that can be used in different computer program. It signifies the type like integer, float etc, the space like integer will take 4-bytes, character will take 1-byte of space etc.The abstract datatype is special kind of datatype, whose behavior is defined by a set of values and set of operations. The keyword “Abstract” is used as we can use these datatypes, we can perform different operations. But how those operations are working that is totally hidden from the user. The ADT is made of with primitive datatypes, but operation logics are ... Read More
![Arnab Chakraborty](https://www.tutorialspoint.com/assets/profiles/123881/profile/60_2940367-1661162113.png)
3K+ Views
The Stack is Last In First Out (LIFO) data structure. This data structure has some important applications in different aspect. These are like below −Expression Handling −Infix to Postfix or Infix to Prefix Conversion −The stack can be used to convert some infix expression into its postfix equivalent, or prefix equivalent. These postfix or prefix notations are used in computers to express some expressions. These expressions are not so much familiar to the infix expression, but they have some great advantages also. We do not need to maintain operator ordering, and parenthesis.Postfix or Prefix Evaluation −After converting into prefix or ... Read More
![Arnab Chakraborty](https://www.tutorialspoint.com/assets/profiles/123881/profile/60_2940367-1661162113.png)
3K+ Views
The recursion is a process by which a function calls itself. We use recursion to solve bigger problem into smaller sub-problems. One thing we have to keep in mind, that if each sub-problem is following same kind of patterns, then only we can use the recursive approach.A recursive function has two different parts. The base case and the recursive case. The base case is used to terminate the task of recurring. If base case is not defined, then the function will recur infinite number of times (Theoretically).In computer program, when we call one function, the value of the program counter ... Read More
![Arnab Chakraborty](https://www.tutorialspoint.com/assets/profiles/123881/profile/60_2940367-1661162113.png)
7K+ Views
Huffman coding is lossless data compression algorithm. In this algorithm a variable-length code is assigned to input different characters. The code length is related with how frequently characters are used. Most frequent characters have smallest codes, and longer codes for least frequent characters.There are mainly two parts. First one to create Huffman tree, and another one to traverse the tree to find codes.For an example, consider some strings “YYYZXXYYX”, the frequency of character Y is larger than X and the character Z has least frequency. So the length of code for Y is smaller than X, and code for X ... Read More
![Arnab Chakraborty](https://www.tutorialspoint.com/assets/profiles/123881/profile/60_2940367-1661162113.png)
62K+ Views
The all pair shortest path algorithm is also known as Floyd-Warshall algorithm is used to find all pair shortest path problem from a given weighted graph. As a result of this algorithm, it will generate a matrix, which will represent the minimum distance from any node to all other nodes in the graph.At first the output matrix is same as given cost matrix of the graph. After that the output matrix will be updated with all vertices k as the intermediate vertex.The time complexity of this algorithm is O(V3), here V is the number of vertices in the graph.Input − ... Read More