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Programming Articles
Page 128 of 2547
Program 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. ...
Read MoreProgram to find size of smallest sublist whose sum at least target in Python
Suppose we have a list of numbers called nums, and another input called target, we have to find the size of the shortest sublist such that its sum value is same as target or larger. If there is no such sublist then return -1. So, if the input is like nums = [2, 11, -4, 17, 4] target = 19, then the output will be 2, as we can select [17, 4] to get sum of at least 19. Algorithm Approach To solve this, we will follow these steps − Create ...
Read MoreProgram to find length of shortest supersequence in Python
A supersequence is a string that contains both input strings as subsequences. The shortest supersequence problem finds the minimum length string that includes all characters from both strings while preserving their order. For example, if s = "pipe" and t = "people", then "pieople" is a supersequence with length 7. Algorithm Approach The solution uses dynamic programming to find the Longest Common Subsequence (LCS), then calculates the shortest supersequence length using the formula: Shortest Supersequence Length = len(s) + len(t) - LCS_length Step-by-Step Process Create a 2D table to store LCS lengths Fill ...
Read MoreProgram to find distance of shortest bridge between islands in Python
Suppose we have a binary matrix, where 0 represents water and 1 represents the land. An island is a group of connecting 1s in 4 directions. Islands are either surrounded by 0s (water) or by the edges. We have to find the length of shortest bridge that connects two islands. So, if the input is like: 0 0 ...
Read MoreProgram to evaluate s-expression as string in Python
Suppose we have a string s as S-expression. We have to evaluate that S-expression and return result as integer. As we know that the S-expression is an expression which is either one number, or a recursive expression wrapped in parentheses like (+ (- 3 2) (* 3 3)), which indicates (3 - 2) + (3 * 3) = 10. Here valid operators are +, -, *, and /. So, if the input is like s = "(- (+ 3 2) 2)", then the output will be 3, as ((3 + 2) - 2) = 3. Algorithm Steps ...
Read MoreProgram to check regular expression pattern is matching with string or not in Python
Regular expression pattern matching is a common programming problem where we need to check if a string matches a given pattern. In Python, we can implement this using dynamic programming with recursive approach. Regular Expression Rules The pattern matching follows these rules ? . (period) matches any single character * (asterisk) matches zero or more of the preceding element Algorithm Steps To solve this problem, we follow these steps ? Get the length of string s and pattern p Create a recursive function dp(i, j) where i is the current position ...
Read MoreProgram to count number of unique paths that includes given edges in Python
Given a list of edges representing a tree, we need to find the total number of unique paths that include each edge. A path in a tree connects any two nodes, and we count how many such paths pass through each given edge. Problem Understanding For the input edges = [[0, 1], [0, 2], [1, 3], [1, 4]], we have a tree structure where removing an edge splits the tree into two subtrees. The number of unique paths through an edge equals the product of nodes in each subtree. 0 ...
Read MoreProgram to count number of points that lie on a line in Python
Given a list of coordinates representing points on a Cartesian plane, we need to find the maximum number of points that lie on a single line. This problem requires calculating slopes between points and grouping them accordingly. So, if the input is like coordinates = [[6, 2], [8, 3], [10, 4], [1, 1], [2, 2], [6, 6], [7, 7]], then the output will be 4, as the points [1, 1], [2, 2], [6, 6], [7, 7] lie on the same line with slope 1. Algorithm To solve this problem, we follow these steps ? Initialize ...
Read MoreProgram to find minimum cost to pick up gold in given two locations in Python
Suppose we have a 2D matrix and some other values like row, col, erow0, ecol0, erow1, and ecol1. If our current position is matrix[row, col] and we want to pick up gold that is at matrix[erow0, ecol0] and matrix[erow1, ecol1]. We can go up, down, left, and right but when we are at a cell (r, c), we have to pay cost matrix[r, c]. However, if we land at a cell more than once, we do not need to pay cost for that cell again. We have to find the minimum cost to pick up gold at both locations. ...
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