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Range Operations and Lazy Propagation for Competitive Programming

Last Updated: 23 July 2025

In competitive programming, mastering range operations and understanding lazy propagation techniques is a crucial skill set for efficiently handling complex problems invol...read more

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Minimize replacements to sort an array with elements 1, 2, and 3

Last Updated: 23 July 2025

Given an array arr[] of length N containing elements 1, 2 and 3. The task is to find the minimum number of operations required to make array sorted by replacing any elemen...read more

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Maximum coins such that root to leaf path sum is positive

Last Updated: 23 July 2025

Given tree with N vertices rooted at node 0, edges given by array edges[][] and array arr[] of size N representing coins[] on each node. In one operation pick any node and...read more

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Graph Coloring for Competitive Programming

Last Updated: 23 July 2025

Graph coloring in programming refers to the assignment of colors to the vertices of a graph in a way that no two adjacent vertices share the same color. In this article, w...read more

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Find the minimum cost of partitioning the given string S into contiguous substrings

Last Updated: 23 July 2025

Given a string S and an array of strings arr[]. The task is to find the minimum cost of partitioning the given string S into continuous substrings. If a substring is prese...read more

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The Stars and Bars (also known as Balls and Urns) technique is a widely used method in Combinatorics, which is the branch of mathematics dealing with counting and arrangem...read more

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Minimizing the cost to convert A to B with Flips

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Given two binary strings A and B both of the same length and two integers x and y. In one operation, we can select two indices l and r and flip the number at A[l] and A[r]...read more

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Arrays for Competitive Programming

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How to randomly select elements of an array with NumPy in Python ?

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Randomly selecting elements from an array means choosing random elements from the array. NumPy offers several efficient methods to pick elements either with or without rep...read more

How to randomly select rows of an array in Python with NumPy ?

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