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Articles by Arnab Chakraborty
Page 113 of 377
Program to implement the fractional knapsack problem in Python
The fractional knapsack problem is a greedy optimization algorithm where we can take fractions of items to maximize value within a weight capacity. Unlike the 0/1 knapsack, we can break items and take partial amounts. The strategy is to sort items by their value-to-weight ratio in descending order, then greedily select items starting with the highest ratio. Algorithm Steps To solve this problem, we follow these steps − Calculate value-to-weight ratio for each item Sort items by ratio in descending order For each ...
Read MoreProgram to find correct order of visited cities in C++
Given a list of airline tickets represented by pairs of departure and arrival airports, we need to reconstruct the correct travel itinerary. All tickets belong to a traveler who starts from KLK airport, so the itinerary must begin there. For example, if the input is [["MUC", "LHR"], ["KLK", "MUC"], ["SFO", "SJC"], ["LHR", "SFO"]], the output should be ["KLK", "MUC", "LHR", "SFO", "SJC"]. Algorithm We'll use a depth-first search (DFS) approach with the following steps − Build a graph where each airport maps to its destinations Use DFS ...
Read MoreProgram to find first positive missing integer in range in Python
Suppose we have a list of sorted distinct integers of size n, we have to find the first positive number in range [1 to n+1] that is not present in the array. So, if the input is like nums = [0, 5, 1], then the output will be 2, as 2 is the first missing number in range 1 to 4. Algorithm To solve this, we will follow these steps − target := 1 for each i in arr, do if i is same as target, then target := target + 1 ...
Read MoreProgram to find lowest possible integer that is missing in the array in Python
Finding the first missing positive integer is a common programming problem. Given an array that may contain duplicates and negative numbers, we need to find the lowest positive number that is not present in the array. So, if the input is like nums = [0, 3, 1], then the output will be 2 because 1 and 3 are present, but 2 is missing. Algorithm Approach To solve this problem, we follow these steps: Create a set containing only positive numbers from the input array If the set is empty (no positive numbers), return 1 Iterate ...
Read MoreProgram to find minimum amount needed to be paid all good performers in Python
Suppose we have a list of performance ratings for coders. The manager wants to pay each coder at least Rs 1000, but if two coders are adjacent, the better performing coder must receive at least Rs 1000 more than the worse performing one. We need to find the minimum total amount required following these constraints. So, if the input is like ratings = [1, 2, 5, 1], then the output will be 7000, as the minimum payment for each coder is [1000, 2000, 3000, 1000]. Algorithm To solve this problem, we use a two-pass approach ? ...
Read MoreProgram to check a number can be written as a sum of distinct factorial numbers or not in Python
Suppose we have a positive number n, we have to check whether n can be written as the sum of unique positive factorial numbers or not. So, if the input is like n = 144, then the output will be True, as 4! + 5! = 24 + 120 = 144 Algorithm To solve this, we will follow these steps − Generate all factorial numbers up to n Use a greedy approach: start from the largest factorial and subtract it if possible Continue until we either reach 0 (success) or can't subtract any more factorials ...
Read MoreProgram to check we can reach leftmost or rightmost position or not in Python
Suppose we have a string containing letters of three types: R, B, and dot(.). Here R stands for our current position, B stands for a blocked position, and dot(.) stands for an empty position. In one step, we can move to any adjacent position to our current position, as long as it is valid (empty). We have to check whether we can reach either the leftmost position or the rightmost position. So, if the input is like s = "...........R.....BBBB.....", then the output will be True, as R can reach the leftmost position because there is no block between ...
Read MoreProgram to find how many years it will take to reach t amount in Python
Suppose we have some parameters P, O, E, T. If we have P dollars in principal that we want to invest in the stock market. The stock market alternates between first returning E and then O percent interest per year, we have to check how many years it would take to reach at least T dollars. Problem Understanding The investment follows an alternating pattern: Year 1, 3, 5... − Apply E percent interest Year 2, 4, 6... − Apply O percent interest We need to calculate how many years it takes for the principal ...
Read MoreProgram to count k length substring that occurs more than once in the given string in Python
Sometimes we need to count how many k-length substrings appear more than once in a given string. This is useful for pattern analysis and string processing tasks. So, if the input is like s = "xxxyyy", k = 2, then the output will be 2 because substrings "xx" and "yy" each occur more than once. Algorithm Steps To solve this, we will follow these steps − Create a list to store all k-length substrings For i in range 0 to size of s - k, do Extract substring of s [from index i to ...
Read MoreProgram to find sum of digits until it is one digit number in Python
Sometimes we need to keep adding the digits of a number repeatedly until we get a single digit. This process is called finding the digital root of a number. So, if the input is like 9625, then the output will be 4 because: 9 + 6 + 2 + 5 = 22 2 + 2 = 4 Using Recursive Approach We can solve this by recursively summing the digits until we get a single digit ? import math class Solution: def solve(self, n): ...
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