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Find Four points such that they form a square whose sides are parallel to x and y axes in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 1K+ Views

ConceptWith respect of given ‘n’ pair of points, our task is to determine four points so that they form a square whose sides are parallel to x and y axes or else display “No such square”. It should be noted that if more than one square is possible then select the one with the maximum area.Inputn = 6, points = (2, 2), (5, 5), (4, 5), (5, 4), (2, 5), (5, 2)OutputSide of the square is: 3, points of the square are 2, 2 5, 2 2, 5 5, 5ExplanationThe points 2, 2 5, 2 2, 5 5, 5 form ...

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Count Derangements (Permutation such that no element appears in its original position) in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 785 Views

Derangement is permutation of N numbers such that no number appears at original position. For example one possible derangement of { 1, 2, 3 } is { 2, 1, 3 }. No element in this is at its original position. The goal here is to count the possible derangements for N numbers.We will do this using a recursive solution. For following no. of elements −N=0, no derangement, return 1N=1, only one number, return 0N=2, only one swap of position possible, { 1, 2 } → { 2, 1 }, return 1N=3, 2 possible permutations eg, { 1, 2, 3 } ...

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Find if an undirected graph contains an independent set of a given size in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 240 Views

ConceptWith respect of a given undirected graph, verify if it contains an independent set of size l. If there exists an independent set of size l print ‘Yes’, else print ‘No’. It should be noted that an independent set in a graph is defined as a set of vertices which are not directly connected to each other.InputL = 4, graph = [[1, 0, 1, 0, 0], [0, 1, 1, 0, 0], [1, 1, 1, 1, 1], [0, 0, 1, 1, 0], [0, 0, 1, 0, 1]];OutputYesThe above graph contains an independent set of size 4 (vertices 0, 1, 3, 4 ...

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Find if given vertical level of binary tree is sorted or not in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 196 Views

ConceptWith respect of a given binary tree, our task is to determine if a given vertical level of the binary tree is sorted or not.(With respect of this case, when two nodes are overlapping, verify if they form a sorted sequence in the level they lie.)Input2 / \ 3 6 / \ 8 5   / 7 Level l = -1OutputYesNodes in level -1 are 3 -> 7 which form a sorted sequence.Input2 / \ 3 7 \ / 4 5 Level l = 0OutputYesIt should be noted that nodes with value 4 and 5 are overlapping in the binary ...

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Find if it is possible to get a ratio from given ranges of costs and quantities in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 168 Views

ConceptWith respect of the given range of cost from lowCost to upCost and range of quantity from lowQuant to upQuant, determine if it is possible to obtain a given ratio r where r=cost/quantity, and lowCost

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Container with Most Water in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 343 Views

We are given an array of height of the walls of the container. The goal is to find the container that can contain the maximum volume of water. As heights of walls are elements of an array, the distance between them is considered as width between two walls. For example walls of height Arr[i] and Arr[j] have j-i width between them ( 0

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Find if neat arrangement of cups and shelves can be made in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 199 Views

ConceptWith respect of given three different types of cups (p[]) and saucers (q[]), and m numberof shelves, determine if neat arrangement of cups and shelves can be made.Now, arrangement of the cups and saucers will be neat if it follows the following rules −According to first rule, no shelf can contain both cups and saucers.According to second rule, there can be no more than 5 cups in any shelf.According to third rule, there can be no more than 10 saucers in any shelf.Inputp[] = {4, 3, 7} q[] = {5, 9, 10} m = 11OutputYesExplanationTotal cups = 14, shelves required ...

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Maximum and minimum isolated vertices in a graph in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 602 Views

We are given with the number of edges Noe and number of vertices Nov. The goal is to find the minimum and maximum number of isolated vertices that are possible in such graphs which have no edges and No vertices count.An isolated vertex is the one that has no edge connected to it.For minimum isolated verticesWe will make sure that every edge is isolated. ( No two edges have common vertices ) Each edge requires only 2 vertices. So ,count of non isolated vertices = 2 * no. of edgescount of isolated vertices = total vertices - count of non ...

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Find if there is a path of more than k length from a source in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 245 Views

ConceptWith respect of a given graph, a source vertex in the graph and a number k(here k indicates the path length of graph between source vertex and destination vertex), our task is to determine if there is a simple path (without any cycle) beginning from given source and ending at any other vertex(i.e. destination). The graph is shown in following −InputSource s = 0, k = 64OutputTrueThere exists a simple path 0 -> 7 -> 1-> 2 -> 8 -> 6 -> 5 -> 3 -> 4, which has a total distance of 68 km which is more than 64.InputSource ...

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Maximise the number of toys that can be purchased with amount K in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 2K+ Views

We are given with the prices of toys in the form of an array and an amount K in hand. The goal is to purchase the maximum no. of toys with that amount. Each element of the array is a price of a single toy, so no. of toys is no. of elements. We will sort the array of prices in ascending order so that maximum toys of less prices can be purchased first followed by costly toys.Inputtoyprices[]= { 10, 20, 12, 15, 50, 30 } K=50OutputMaximum no. of toys that can be purchased : 3Explanation − Sorting prices of ...

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