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Suppose, we have a tree with n vertices, where each vertex is labeled from 1 to n. The root of the tree has the label 1, and each vertex weights wi. Now a nxn matrix A is formed where A(x, y) = Wf(x, y) where f(x, y) is the least common predecessor of vertex x and y. We have to find out the determinant of matrix A. The edges of the matrix, weights, and the total number of vertices are given to us as input.So, if the input is like input_array = [[1, 2], [1, 3], [1, 4], [1, 5]], ... Read More
Suppose, in a game show there are 2n number of rooms that are arranged in a circle. In one of the rooms, there is a prize that the participants have to collect. The rooms are numbered from 1, 2, 3, ...., n, -n, -(n - 1), ...., -1. in a clockwise manner. Each room has a door and by that door, a different room can be visited. Every door has a marking x on it, which means another room is located at a distance of x from the current room. If the value of x is positive, then the door ... Read More
A hyperrectangle is a rectangle that has k dimensions. Each dimension has a length that can be denoted as n1, n2, n3,....., nm. The hyperrectangle's cells are addressed as (p,q,r,...) and contain a value that is equivalent to gcd of (p,q,r,...). Here 1
Suppose, there are several cubes of dimensions a, b, and c, and using them a new box of dimension axbxc is created. a, b, and c are pairwise co-prime; gcd(a, b) = gcd(b, c) = gcd(c, d) = 1. We have to cut the box into two pieces with a single slice as shown in the picture. We have to find out if the box is cut this way, how many cubes are cut into two pieces. We are provided an array that contains the possible three dimensions, and we have to find out our answer from that.The cut is ... Read More
Suppose, there are n balls in a circular tube. The tube is 100 meters long and initially, each ball in the tube is i meters away from a point that we call the starting point. Now the balls start to travel within the tube in a circular order in different directions. The balls travel 0.1 meters per second within the tube. When two balls meet at a point, a collision occurs and the balls change their direction of travel. If this process goes for a long time, let's say 10^9 + 6 seconds; we have to find out the number ... Read More
Suppose, we are given the tasks to transport several metal bars of different sizes. But the transportation container is short in length, it can contain bars of length 1 only. We are provided n number of bars, and their lengths are given to us in a list. So, to fit all the bars in the container; we have to cut and divide all the bars so they are of unit sizes. Further, we fit all the bars into the container that cost us one operation. We have to find the number of operations we have to perform on the bars.So, ... Read More
Suppose, a person wants to buy a product of price x. But each passing day, the price of the product increases x times the price of the previous day. We have to find out the price of the product after y days since the person has made up his mind to purchase the product. If the price of the product is too much, then the answer is given as price modulo 10^9 + 7. The input is given in a list of pairs; the first value of the pair is the initial price x and the second value is y, ... Read More
Suppose, we are given several different pairs in the format (x, y). Here the x signifies the base of a number and y signifies the number itself. In the list there are pairs that mean the same. We have to check the number of matches in the given number pairs. The given pairs can be redundant, and can also contain invalid base-number combinations.So, if the input is like num_inputs = 2, input_arr = [(10, 15), (8, 17)], then the output will be 1.The variable num_inputs specify the number of inputs, and the array input_arr lists the number pairs. Here if ... Read More
Suppose, there are n number of student groups waiting to get back from their college to their home via the college bus. In each student group, there are m number of students. The student groups want to travel by bus without getting separated. They board the bus if and only if all the members of their group can get on the bus. Also, a group does not board the bus if their previous group has not boarded the bus or has already reached their destination. If we are given the number of groups and the number of students in each ... Read More
To change the local user account password using PowerShell, we can use the Set-LocalUser command with the Password parameter. This password parameter should be in the secure string. So we need to ask the user to input the password as a secure string or need to explicitly convert the plain text password to the secure string. For example, $localuser = Read-Host "Enter Local UserName" $password = Read-Host "Enter local user account password " -AsSecureString Set-LocalUser -Name $localuser -Password $password -VerboseIf you need to set the password without asking the user prompt then you need to convert the plain text password ... Read More