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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
Suppose we have an array A with N elements. In each operation, we pick an element and increase or decrease it by 1. We have to find at least how many operations are needed to satisfy following conditions −For every i in range 1 to n, the sum of the terms from 1st through ith term is not 0For every i in range 1 to n - 1, the sign of the terms from the 1st through ith term is different from sign of the sum of the terms from the 1st through (i+1)th term.So, if the input is like ... Read More
To generate a pseudo Vandermonde matrix of the Hermite polynomial, use the hermite.hermvander2d() in Python Numpy. The method returns the pseudo-Vandermonde matrix. The parameter, x, y are an array 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].StepsAt first, import the required library −import numpy as np from numpy.polynomial import hermite as HCreate arrays of point coordinates, all of the same shape ... Read More
Suppose we have an array A with n elements. A function F(p) is a sorted array of sums of adjacent elements in p. So F(p) = sort([p1 + p2, p2 + p3, ... pn-1 + pn]). We have a permutation represented in A. We have to find the different permutation of A where F(A) is same.So, if the input is like A = [2, 1, 6, 5, 4, 3], then the output will be [1, 2, 5, 6, 3, 4], because F(A)=sort([2+1, 1+6, 6+5, 5+4, 4+3]) = sort([3, 7, 11, 9, 7]) = [3, 7, 7, 9, 11]. And sort([1+2, ... Read More
Suppose we have an array A with K number of elements. Consider, in a game there are N players and a game master is there. This game has K rounds. In ith round game master announces to form groups with A[i] number of children. Then the remaining children form as many groups of A[i] children as possible. One child cannot take part into multiple groups. Those who are left without a group leave the game. The others proceed to the next round. A round may have with no player loss. In the end, after the K-th round, there are exactly ... Read More