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Articles by Arnab Chakraborty
Page 80 of 377
Program to Find Out the Special Nodes in a Tree in Python
A tree has special nodes where every node in its subtree has a unique color. Given an n-ary tree as an adjacency list and node colors, we need to count how many nodes are special. For each node i: tree[i] contains its children and parent color[i] represents its color value A node is "special" if all nodes in its subtree (including itself) have distinct colors ? Example Consider this tree structure: .node-circle { fill: #e3f2fd; stroke: #1976d2; ...
Read MoreProgram to Find Out if There is a Short Circuit in Input Words in Python
Given a list of words, we need to check if they can be chained to form a circle. A word A can be placed before word B if the last character of A matches the first character of B. Each word must be used exactly once. For example, with words = ["ant", "dog", "tamarind", "nausea", "gun"], we can form: ant → tamarind → dog → gun → nausea → ant (circle completed). Algorithm This problem is solved using graph theory concepts ? Build a directed graph where each character is a node Add edges from ...
Read MoreProgram to Find Out if an Edge is a Part of a Minimum Spanning Tree in Python
Suppose we have a 2D matrix named edges, that represents an undirected graph. Every item in the matrix edges represents an edge and is of the form (u, v, w). This means nodes u and v are connected and the edge has the weight w. We also have integers a and b, that represent an edge (a, b). We have to find out if the edge (a, b) is part of a minimum spanning tree. Note − the graph has to be connected and the edge (a, b) exists in the graph. So, if the input is like ...
Read MoreProgram to Find Out the Minimal Submatrices in Python
Suppose we have a 2D matrix and another value k. Our goal is to return a matrix that contains the minimum values of all k x k sub-matrices. So, if the input is like ? 3 5 6 8 6 5 ...
Read MoreProgram to find sum of widths of all subsequences of list of numbers in Python
Given a list of numbers, we need to find the sum of widths of all subsequences. The width of a subsequence is the difference between its maximum and minimum elements. We'll calculate this sum modulo 10^9 + 7 to handle large results. So, if the input is like nums = [7, 4, 9], then the output will be 15. The subsequences are: [7], [4], [9], [7, 4], [7, 9], [4, 9], [7, 4, 9] with widths 0, 0, 0, 3, 2, 5, 5 respectively, giving us a sum of 15. Algorithm To solve this efficiently, we follow ...
Read MoreProgram to find number of sublists containing maximum and minimum after deleting only one element in Python
Given a list of numbers, we can delete at most one element to maximize the number of sublists containing both the maximum and minimum values of the resulting list. This problem requires analyzing different scenarios when removing elements. Problem Understanding For the input nums = [3, 2, 6, 2, 4, 10], if we remove 10, we get [3, 2, 6, 2, 4] where min=2 and max=6. There are 8 sublists containing both values ? [2, 6] at indices (1, 2) [6, 2] at indices (2, 3) [2, 6, 2] at indices (1, 3) [3, 2, 6] ...
Read MoreProgram to find size of sublist where product of minimum of A and size of A is maximized in Python
Given a list of numbers called nums and an index pos, we need to find a sublist that includes the element at index pos such that (minimum of sublist) × (size of sublist) is maximized. For example, if nums = [-2, 2, 5, 4] and pos = 3, the best sublist is [5, 4] (indices 2-3). The minimum is 4, size is 2, so the product is 4 × 2 = 8. Algorithm We use a greedy approach to expand the sublist from the given position ? Start with the element at pos as both ...
Read MoreProgram to expand string represented as n(t) format in Python
String expansion in the n(t) format is a common programming problem where we need to decode compressed strings. The format n(t) means concatenate string t exactly n times, and t can be either a regular string or another encoded string recursively. So, if the input is like s = "3(pi)2(3(am))0(f)1(u)", then the output will be "pipipiamamamamamamu". Algorithm Steps To solve this problem, we will follow these steps − Initialize index i := 0 Define a recursive function parse() that processes the string Create an empty result list While i < string length and current character ...
Read MoreProgram to find minimum cost to increase heights of trees where no adjacent tree has same height in Python
Suppose we have a list of numbers called heights that represents the height of trees and we have another list of values called costs that represents the price needed to increase height of a tree by one. We have to find the smallest cost to make each height in the heights list different from adjacent heights. So, if the input is like heights = [3, 2, 2] costs = [2, 5, 3], then the output will be 3, as we can increase the last height by 1, which costs 3. Algorithm Steps To solve this, we will ...
Read MoreProgram to find maximum value of k for which we can maintain safe distance in Python
Suppose we have a binary matrix where 0 signifies an empty cell, and 1 signifies a cell with a person. The distance between two cells is the maximum value between the difference in x coordinates and the difference in y coordinates (Chebyshev distance). A matrix is considered safe with a factor k if there is an empty square such that the distance from the cell to each person in the matrix, and each side of the matrix is all greater or equal to k. We have to find the maximum value of factor k for which we can be safe. ...
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