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iCode | Algorithms notes

Algorithms notes

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iCode | Algorithms notes | mayanknatani.wordpress.com Reviews

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Bridges a.k.a. Cut Edges | iCode

https://mayanknatani.wordpress.com/2013/06/02/bridges-a-k-a-cut-edges

Bridges a.k.a. Cut Edges. Today we are going to learn that how to compute the edges of importance or essential edges or bridges or cut edges. The bridges are very similar to articulation points that we discussed in the last post. These are those edges which are essential for the graphs connectivity i.e. If I remove a bridge from the graph the rest of the graph will remain disconnected. Now how to find the bridges in a graph. Time Complexity : O(E*(V E). 1(ie v is not root) : (v,child).is bridge = true.

2

May | 2013 | iCode

https://mayanknatani.wordpress.com/2013/05

Monthly Archives: May 2013. Euclidean Minimum/Maximum Spanning Tree (EMST). Actually in euclidean MST problem all the ‘n’ points are connected to each other, and becomes the maximally dense graph. By virtue of that the order to compute the MST by using kruskal’s algo becomes (ElogE) where E = V 2 so order is greater than V 2 and in most cases the judges won’t accept it. So we can use prim’s here and can reduce our order to V 2. Euclidean minimum spanning tree. This entry was posted in Algorithms. Time co...

3

Running Median | iCode

https://mayanknatani.wordpress.com/2014/06/29/running-median

Today we gonna talk about how to keep track of median, given a stream of integers. We will discuss the most standard approach to solve the problem. Prerequisite : Heap Data Structure. 1 Heap Data Structure. 2 http:/ stackoverflow.com/questions/10657503/find-running-median-from-a-stream-of-integers. This entry was posted in Algorithms. June 29, 2014. Diameter of a Tree. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public).

4

Range Minimum Query | iCode

https://mayanknatani.wordpress.com/2013/07/15/range-minimum-query

Today we are going to learn about methods to find the minimum element in given range for an array, this problem is popularly known as range minimum query. First let us see, what are we looking at :. Given an array say A[0,N-1]. We are queried for the minimum element from some index ‘i’ to the index ‘j’ such that j =i, the notation for rest of the post for this will be RMQ(i,j). RMQ(0,2) = -1. RMQ(3,4) = 2. RMQ(0,4) = -1. 1 Naive’s Approach. Time Complexity : construction O(1) , Query O(N) O(1),O(N).

5

Computing nCr | iCode

https://mayanknatani.wordpress.com/2013/05/31/computing-ncr

Today we are going to talk about how to compute nCr in the programming competitions. 1 Dynamic programming Approach :. From the high school mathematics we know a recursive method to calculate nCr i.e. C(n,r) C(n,r-1) = C(n 1,r). This can also be written as. C(n,r) = C(n-1,r) C(n-1,r-1). It’s a very simple DP, as you can see nothing to be afraid of here. C[n][r] /* initialize the two dimensional array by - strong INF /strong combination(n,r): if (C[n][r]! Time complexity = O(n*r). Space complexity = O(n*r).

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Combination | COME ON CODE ON

https://comeoncodeon.wordpress.com/2011/07/31/combination

COME ON CODE ON. A blog about programming and more programming. In mathematics a combination. Is a way of selecting several things out of a larger group, where (unlike permutations) order does not matter. More formally a k-combination of a set S is a subset of k distinct elements of S. If the set has n elements the number of k-combinations is equal to the binomial coefficient. In this post we will see different methods to calculate the binomial. We can calculate nCr directly using the factorials. We can ...

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iCode | Algorithms notes

Today we gonna talk about how to keep track of median, given a stream of integers. We will discuss the most standard approach to solve the problem. Prerequisite : Heap Data Structure. 1 Heap Data Structure. 2 http:/ stackoverflow.com/questions/10657503/find-running-median-from-a-stream-of-integers. This entry was posted in Algorithms. June 29, 2014. Diameter of a Tree. Diameter of a Tree. The diameter of a given tree is the maximum distance between two nodes of a given tree. Visited[G[x][i] ){ flag = tru...

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