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Articles on Trending Technologies
Technical articles with clear explanations and examples
Program to find maximum possible value of smallest group in Python
We need to split a list of numbers into k contiguous groups and find the maximum possible value of the smallest group's sum. This is a classic binary search optimization problem. For example, given nums = [2, 6, 4, 5, 8] and k = 3, we can split into groups [2, 6], [4, 5], [8] with sums 8, 9, 8. The smallest sum is 8, which is our answer. Algorithm Approach We use binary search on the answer space. For each potential minimum sum, we check if it's possible to split the array into exactly k groups ...
Read MoreProgram to find how max score we can get by removing 10 or 01 from binary string in Python
Suppose we have a binary string s and two values zero_one and one_zero. We can delete any substring "01" and receive zero_one points, or remove any substring "10" and receive one_zero points. We need to find the maximum number of points we can get after any number of operations. So, if the input is like s = "10100101", zero_one = 3, one_zero = 2, then the output will be 11. We can remove "01" three times to get 3×3 = 9 points. Then the remaining string is "10". By removing this we get another 2 points, so the total ...
Read MoreProgram to Find Out the Maximum Points From Removals in Python
In this problem, we need to find the maximum points from removing contiguous sublists of identical values. When we remove a sublist of length t with the same value, we get t * t points. The key insight is that we can strategically remove elements to merge identical values and maximize our score. Problem Explanation Given a list like [4, 4, 6, 4, 4], we can: First remove the single 6 → get 1 * 1 = 1 point Then remove all four 4s together → get 4 * 4 = 16 points Total: 1 + 16 ...
Read MoreProgram to Find Out the Largest K-Divisible Subsequence Sum in Python
Given a list of non-negative numbers and a positive value k, we need to find the maximum sum of a subsequence such that the sum is divisible by k. A subsequence can be formed by removing some elements from the original array while maintaining the relative order. Problem Understanding For example, if we have nums = [4, 6, 8, 2] and k = 2, the sum of all elements is 20, which is divisible by 2. So the answer is 20. Approach The algorithm works as follows: Calculate the total sum of all numbers ...
Read MoreProgram to Find the longest subsequence where the absolute difference between every adjacent element is at most k in Python.
Finding the longest subsequence where the absolute difference between every adjacent element is at most k is a dynamic programming problem that can be efficiently solved using a segment tree for range maximum queries. So, if the input is like nums = [5, 6, 2, 1, −6, 0, −1] and k = 4, then the output will be 6. Algorithm Overview The approach uses coordinate compression and a segment tree to efficiently track the maximum subsequence length ending at each position − Sort the array to create coordinate mapping For each element, find the range ...
Read MoreProgram to Find K-Largest Sum Pairs in Python
When working with two lists of numbers, we often need to find the k largest sum pairs where each pair contains one element from each list. This problem can be efficiently solved using a max heap to prioritize the largest sums. For example, if we have nums1 = [8, 6, 12], nums2 = [4, 6, 8], and k = 2, we need to find the 2 largest sum pairs. The largest pairs would be [12, 8] = 20 and [12, 6] = 18, giving us a total sum of 38. Algorithm Approach We'll use a max heap ...
Read MoreProgram to Find Out the Edges that Disconnect the Graph in Python
An edge in a graph is called a bridge (or cut-edge) if removing it increases the number of connected components. In other words, removing a bridge edge disconnects the graph. We can find bridge edges using Tarjan's algorithm with depth-first search. Algorithm Overview The algorithm uses DFS to assign discovery times to each node and tracks the lowest discovery time reachable from each subtree. An edge is a bridge if there's no back edge from the subtree that can reach an ancestor. Example Let's implement the bridge-finding algorithm ? class Solution: ...
Read MoreProgram to Find Out the Occurrence of a Digit from a Given Range in Python
When working with digit counting problems, we need to find how many times a specific digit appears in a range of numbers. This problem asks us to count occurrences of digit d in all numbers from 1 to n. For example, if n = 45 and d = 5, we need to count digit 5 in numbers: [5, 15, 25, 35, 45], giving us a total count of 5. Using Recursive Approach The recursive solution breaks down the problem by processing digits systematically ? class Solution: def solve(self, n, d): if n < 0: return 0 k = n // 10 - 1 ans = self.solve(k, d) * 10 + k + 1 if d == 0: ans -= 1 m = n // 10 * 10 while m
Read MoreProgram to Find Out Currency Arbitrage in Python
Currency arbitrage is a strategy where we exploit differences in exchange rates to make a profit. Given an N x N table of currency exchange rates, we need to check whether there's a sequence of trades that can turn some amount A of any currency into an amount greater than A of the same currency. 1 CAD 0.65 EUR 0.7865 USD 1.00672 CAD ...
Read MoreProgram to Connect a Forest in Python
Given a forest (collection of disconnected trees) represented as an adjacency list, we need to connect all trees into a single tree by adding the minimum number of edges. The goal is to minimize the diameter (longest path between any two nodes) of the resulting connected tree. 0 1 2 3 4 ...
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