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Algorithms Articles
Page 21 of 39
Nuts and Bolt Problem
A list of different nuts and another list of bolts are given. Our task is to find the correct match of nuts and bolts from the given list, and assign that nut with the Bolt, when it is matched.This problem is solved by the quick-sort technique. By taking the last element of the bolt as a pivot, rearrange the nuts list and get the final position of the nut whose bolt is the pivot element. After partitioning the nuts list, we can partition the bolts list using the selected nut. The same tasks are performed for left and right sub-lists ...
Read MorePrint all permutations of a given string
Printing all permutations of a given string is an example of backtracking problem. We will reduce the size of the substring to solve the sub-problems, then again backtrack to get another permutation from that section.For an example, if the string is ABC, the all permutations will be ABC, ACB, BAC, BCA, CAB, CBA.The complexity of this algorithm is O(n!). It is a huge complexity. When the string size increases, it takes a longer time to finish the task.Input and OutputInput: A string “ABC” Output: All permutations of ABC is: ABC ACB BAC BCA CBA CABAlgorithmstringPermutation(str, left, right)Input: The string and left ...
Read MoreParity Check of a Number
Parity of a number is based on the number of 1’s present in the binary equivalent of that number. When the count of present 1s is odd, it returns odd parity, for an even number of 1s it returns even parity.As we know that the numbers in computer memory are stored in binary numbers, so we can shift numbers easily. In this case, by shifting the bits, we will count a number of 1’s present in the binary equivalent of the given number.Input and OutputInput: A number: 5 Binary equivalent is (101) Output: Parity of 5 is Odd.AlgorithmfinParity(n)Input: The number ...
Read MoreReservoir Sampling
The Reservoir sampling is a randomized algorithm. In this algorithm, k items are chosen from a list with n different items.We can solve it by creating an array as a reservoir of size k. Then randomly pick one element from the main list and placed that item in the reservoir list. When one item is selected once, it will not be selected for next time. But his approach is not effective, we can increase the complexity by this method.In the reservoir list, copy first k items from the list, now one by one from the (k+1)th number in the list, ...
Read MoreSort strings in Alphanumeric sequence
A list of given strings is sorted in alphanumeric order or Dictionary Order. Like for these words: Apple, Book, Aim, they will be sorted as Aim, Apple, Book.If there are some numbers, they can be placed before the alphabetic strings.Input and OutputInput: A list of strings: Ball Apple Data Area 517 April Man 506 Output: Strings after sort: 506 517 Apple April Area Ball Data ManAlgorithmsortStr(strArr, n)Input: The list of all strings, number of elements.Output − Strings in alphanumeric sorted order.Begin for round := 1 to n-1, do for i := 0 to n-round, do ...
Read MoreFind Weekday using Zeller's Algorithm
Zeller’s Algorithm is used to find the weekday from a given date. The formula to find weekday using Zeller’s Algorithm is here:The formula is containing some variables; They are −d − The day of the date.m: It is the month code. From March to December it is 3 to 12, for January it is 13, and for February it is 14. When we consider January or February, then given year will be decreased by 1.y − Last two digits of the yearc − first two digits of the yearw − The weekday. When it is 0, it is Saturday, when ...
Read MoreCheck if two line segments intersect
Let two line-segments are given. The points p1, p2 from the first line segment and q1, q2 from the second line segment. We have to check whether both line segments are intersecting or not.We can say that both line segments are intersecting when these cases are satisfied:When (p1, p2, q1) and (p1, p2, q2) have a different orientation and(q1, q2, p1) and (q1, q2, p2) have a different orientation.There is another condition is when (p1, p2, q1), (p1, p2, q2), (q1, q2, p1), (q1, q2, p2) are collinear.Input and OutputInput: Points of two line-segments Line-segment 1: (0, 0) to (5, ...
Read MoreNumber to Roman Numerals
Roman numbers are non-positional numbers. Some numerals are placed together to form a number in roman numbers. For an example the number 75 can be expressed as 75 = 50 + 10 + 10 + 5, so the roman numerals are LXXV.In this problem one number is provided in a decimal format, our task is to convert it into the Roman numeral strings.There are different symbols and their value, like this.IIVVIXXXLLXCCCDDCMMMMMMV’145910405090100400500900100040005000Using this table, we can easily find the roman numerals of a given number.Input and OutputInput: Decimal number: 3569 Output: The Roman equivalent of 3569 is: MMMDLXIXAlgorithmdecToRoman(nuList, num)Input: The numeral list ...
Read MoreConnect n ropes with minimum cost
There are N ropes of given lengths. We have to connect with them. The cost of connecting one rope with other is the sum of their lengths. Our goal is to connect the N ropes with minimum cost.This problem can be solved using a heap tree. We will create min heap to insert all different lengths first, then remove minimum and second minimum item from min heap, connect them and again insert into the heap tree. When the heap will hold only one element, we can stop the process and get the connected rope with minimum costs.Input and OutputInput: The ...
Read MorePossible walks from a source to a destination with exactly k edges
A directed graph is given. Another two vertices u and v are also given, u is the starting vertex, and v is the ending vertex. Our task is to find a number of walks from vertex u to v with exactly k edges. The value of k is also provided in the algorithm.By using dynamic programming, we need to create a 3D table, Where the row will point the values of u, columns will point the values v and depth will be used to track the number of edges from start to end.Input and OutputInput: The adjacency matrix of the ...
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