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Suppose we have a matrix containing H rows and W columns. The cells either holds '.' or '#'. The dot '.' indicates passable space, and '#' indicates block. Amal will go from his house to a market. His house is in the cell at the top-left corner, and the market is at the bottom-right corner. Amal can move one cell up, down, left, or right to a passable cell. He cannot leave the town. He cannot enter a blocked cell, either. However, his physical strength allows him to destroy all blocks in a square region with 2×2 cells of his ... Read More
Suppose we have five numbers b, p, f, h and c. There are two types of burgers in a restaurant. These are hamburger and chicken burger. Hamburger needs two buns and a beef patty and for chicken burger we need two buns and a chicken cutlet. We have b buns, p beef patties, f chicken cutlets. We are trying to sell hamburger for h rupees and chicken burger for c rupees. We have to find the maximum profit that we can gain.So, if the input is like b = 7; p = 5; f = 2; h = 10; c ... Read More
To generate a pseudo Vandermonde matrix of the Hermite polynomial and x, y, z sample points, use the hermite.hermvander3d() in Python Numpy. The method returns the pseudo-Vandermonde matrix. The parameter, x, y, z are arrays of point coordinates, all of the same shape. The dtypes will be converted to either float64 or complex128 depending on whether any of the elements are complex. Scalars are converted to 1-D arrays. The parameter, deg is the list of maximum degrees of the form [x_deg, y_deg, z_deg].StepsAt first, import the required library −import numpy as np from numpy.polynomial import hermite as HCreate arrays of ... Read More
Suppose we have five numbers n, k1, k2, w and b. There is a board with 2 x n cells and first k1 cells in the first row, first k2 cells in second row are colored in white. All other cells are black. We have w white dominos and b black dominos (2 x 1 size). We can place a white domino on the board if both board's cells are white and not occupied by any other domino. In the same way, a black domino can be placed if both cells are black and not occupied by any other domino. ... Read More
Suppose we have an array A with n elements. The A[i] represents the programming skill of ith student. All elements in A are distinct. We want to split them into teams in such a way that −No two students i and j, such that |A[i] - A[j]| = 1 belong to the same teamThe number of teams is the minimum possible.So, if the input is like A = [2, 3, 4, 99, 100], then the output will be 2, because the groups are [2, 3, 4] and [99, 100]StepsTo solve this, we will follow these steps −dem := 1 sort ... Read More
Suppose we have an array A with n elements. There was an electronic store, where a robbery has done on the last night. All keyboards which were present inside the store were numbered in ascending order from some integer number x. For example, for x=4 and there were 3 keyboards in the store, then the devices had indices 4, 5 and 6. If x=10 and there were 7 of them then the keyboards had indices 10, 11, 12, 13, 14, 15 and 16. After the robbery, only n keyboards are left. They have indices stored in array A. We have ... Read More
Suppose we have two arrays A with n elements and B with m elements. Select some element a form A and some element b from B, such that a + b does not belong to A or B.So, if the input is like A = [3, 2, 2]; B = [1, 5, 7, 7, 9], then the output will be [3, 1], because 3 + 1 = 4 is not present in any array. (Other answers are also available)StepsTo solve this, we will follow these steps −sort the array A sort the array B return last element of A and ... Read More
Suppose we have two numbers a and b. We have to find the smallest possible value of (a XOR x) + (b XOR x) for some value of x.So, if the input is like a = 6; b = 12, then the output will be 10, because if x = 4, then (6 XOR 4) + (12 XOR 4) = 2 + 8 = 10.StepsTo solve this, we will follow these steps −return a XOR bExampleLet us see the following implementation to get better understanding −#include using namespace std; int solve(int a, int b){ return (a^b); } int main(){ int a = 6; int b = 12; cout
Suppose we have an array A with N elements and another value K. For an integer X in range 0 to K, let f(X) = (X xor A[1]) + (X xor A[2]) + ... + (X xor A[N]). We have to find the maximum possible value of f.So, if the input is like K = 7; A = [1, 6, 3], then the output will be 14, because f(4) = (4 XOR 1) + (4 XOR 6) + (4 XOR 3) = 5 + 2 + 7 = 14.StepsTo solve this, we will follow these steps −n := size of ... Read More
Suppose we have a coordinate (x, y). On a 2D grid, a robot is at (0, 0) position and want to reach (x, y). It can move up, down, left or right or stay at current cell. It wants to reach destination with as minimum as possible commands. We have to count the number of steps needed.So, if the input is like x = 3; y = 4, then the output will be 7StepsTo solve this, we will follow these steps −return x + y + minimum of |x - y|, |x - y + 1|, and |x - y ... Read More