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Articles by Arnab Chakraborty
Page 78 of 377
Program to find sum of rectangle whose sum at most k in Python
Given a 2D matrix and a value k, we need to find the largest sum of a rectangle whose sum is at most k. This problem combines matrix manipulation with optimization techniques. Problem Understanding Consider this matrix with k = 15: 5 -2 7 10 We can form rectangles like [5, 7] with sum = 12, [5, -2, 7, 10] with sum = 20, etc. The largest sum ≤ 15 is 12. Algorithm Steps For each pair of rows (i1, i2), compress the matrix vertically Convert the ...
Read MoreProgram to find largest average of sublist whose size at least k in Python
Suppose we have a list of numbers called nums and another value k, we have to find the largest average value of any sublist whose length is at least k. So, if the input is like nums = [2, 10, -50, 4, 6, 6] and k = 3, then the output will be 5.33333333, as sublist [4, 6, 6] has the largest average value. Algorithm Steps To solve this, we will follow these steps − Initialize left := minimum of nums, right := maximum of nums Calculate initial sum ...
Read MoreProgram to find kth lexicographic sequence from 1 to n of size k Python
Suppose we have two values n and k. We need to consider a list of numbers in range 1 through n [1, 2, ..., n] and generate every permutation of this list in lexicographic order. For example, if n = 4 we have [1234, 1243, 1324, 1342, 1423, 1432, 2134, 2143, 2314, 2341, 2413, 2431, 3124, 3142, 3214, 3241, 3412, 3421, 4123, 4132, 4213, 4231, 4312, 4321]. We have to find the kth value of this permutation sequence as a string. So, if the input is like n = 4, k = 5, then the output will be "1423" ...
Read MoreProgram to count number of ways we can make a list of values by splitting numeric string in Python
Suppose we have a string s containing digits from 0-9 and another number k. We need to find the number of different ways that s can be represented as a list of numbers from [1, k]. If the answer is very large, return result mod 10^9 + 7. So, if the input is like s = "3456", k = 500, then the output will be 7, as we can represent s like [3, 4, 5, 6], [34, 5, 6], [3, 4, 56], [3, 45, 6], [34, 56], [345, 6], [3, 456]. Algorithm Approach We'll use dynamic programming ...
Read MoreProgram to find number of coins we can pick from topleft to bottom-right cell and return in Python
This problem involves finding the maximum coins we can collect by making two simultaneous journeys: one from top-left to bottom-right, and another from bottom-right back to top-left. We can only move right or down in the first journey, and left or up in the return journey. Problem Understanding The matrix contains three types of values: 0 for an empty cell 1 for a coin −1 for a wall (impassable) We need to maximize coin collection while ensuring we can complete both journeys. If either path is blocked, we return 0. Example Consider ...
Read MoreProgram to check person 1 can win the candy game by taking maximum score or not in Python
Suppose two players are playing a candy game where several candies are placed in a line. Person 1 is given a list of numbers called nums representing the point value of each candy. On each player's turn, they can pick 1, 2, or 3 candies from the front of the line, delete them from the list, and add their points to their score. The game ends when all candies are taken, and the player with the higher score wins. We need to determine if person 1 can win this game by playing optimally. Example Scenario If the ...
Read MoreProgram to check whether first player can take more candies than other or not in Python
Suppose we have a list of numbers called candies and two persons are racing to collect the most number of candies. This is a turn-based game where person 1 starts first, and in each turn a player can pick candies from either the front or the back of the list. We need to check whether person 1 can collect more candies than person 2. So, if the input is like candies = [1, 4, 3, 8], then the output will be True. Person 1 can take 8 candies in the first round, and regardless of whether person 2 picks ...
Read MoreProgram to count number of permutations where sum of adjacent pairs are perfect square in Python
Suppose we have a list of numbers called nums. We have to find the number of permutations of nums such that sum of every pair of adjacent values is a perfect square. Two permutations A and B are unique when there is some index i where A[i] is not same as B[i]. So, if the input is like nums = [2, 9, 7], then the output will be 2, as we have [2, 7, 9] and [9, 7, 2]. In both cases: 2+7=9 (perfect square), 7+9=16 (perfect square), and 9+7=16 (perfect square), 7+2=9 (perfect square). Algorithm To ...
Read MoreProgram to count number of flipping required to make all x before y in Python
When we have a string containing only 'x' and 'y' characters, we want to find the minimum number of character flips needed to arrange all 'x' characters before all 'y' characters. This means we need to achieve a pattern like "xxx...yyy". The key insight is that for any partition point in the string, we can calculate the cost by counting 'y' characters on the left (which need to become 'x') and 'x' characters on the right (which need to become 'y'). Algorithm We iterate through each possible partition point and track: y_left: Number of 'y' ...
Read MoreProgram to check person can reach top-left or bottomright cell avoiding fire or not in Python
Suppose we have a 2D matrix with few different values like below − 0 for empty cell 1 for a person 2 for fire 3 for a wall Now assume there is only one person and in each turn the fire expands in all four directions (up, down, left and right) but fire cannot expand through walls. We have to check whether the person can move to either the top-left corner or the bottom-right corner of the matrix. We have ...
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