How would you create data structures for a massive social network such as Facebook or LinkedIn? Describe how you would create an algorithm to display the shortest path between two persons (for example, Me-> Bob-> Susan-> Jason-> You).
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How would you create data structures for a massive social network such as Facebook or LinkedIn? Describe how you would create an
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- A 2D matrix can be represented as a list and a column count value in Python. For example, the 3x3 matrix1 2 34 5 67 8 9can be row-wise represented as ([1,2,3,4,5,6,7,8,9], 3), where the number 3 represents the number of columns in the matrix. Similarly,1 3 52 4 6becomes ([1,3,5,2,4,6], 3). A submatrix can be defined as an (l,r,t,b) tuple, where l and r are left and right column indices, and t and b are top and bottom row indices (all inclusive). Write a function that takes a tuple containing the list representing a matrix, and the column count of the matrix, along with another tuple representing a specific submatrix, and returns the list representation of the submatrix along with its column count as a tuple. For example, givensubmatrix(([1,2,3,4,5,6,7,8,9,10,11,12], 4), (1,2,0,1)) returns:([2,3,6,7], 2)because, ([1,2,3,4,5,6,7,8,9,10,11,12], 4) represents:1 2 3 45 6 7 89 10 11 12and (1,2,0,1) represents the submatrix between column indices 1 and 2 (both inclusive), and row indices 0…Graph Theory: Graph theory in computer science uses a graphical matrix with nodes and edges to describe a data structure. These can be used for search trees, game theory, shortest path, and many other applications in math and computer science. An example of an application of a graph in computer science is the data structure used to hole the moves for a checkers game program. Each move can be represented by a node. The edges connecting the nodes are determined by the rules of the game, basically how to get to the node. This is a directed graph, because a player cannot take a move back. So the flow is always in one direction towards the end of the game. Cycles in a graph is when a node can go back to itself. This is not possible in this graph, because a move can only go to another position on the board. The only case where this would be correct is if a player were allowed to skip his turn, or move to the same spot that he is already in. A graph is said to be connected if there is a path…A 2D matrix can be represented as a list and a column count value in Python. For example, the 3x3 matrix 1 2 34 5 67 8 9 can be row-wise represented as ([1,2,3,4,5,6,7,8,9], 3), where the number 3 represents the number of columns in the matrix. Similarly, 1 3 52 4 6 becomes ([1,3,5,2,4,6], 3). A submatrix can be defined as an (l,r,t,b) tuple, where l and r are left and right column indices, and t and b are top and bottom row indices (all inclusive). Write a function that takes a tuple containing the list representing a matrix, and the column count of the matrix, along with another tuple representing a specific submatrix, and returns the list representation of the submatrix along with its column count as a tuple. For example, given submatrix(([1,2,3,4,5,6,7,8,9,10,11,12], 4), (1,2,0,1)) returns: ([2,3,6,7], 2) because, ([1,2,3,4,5,6,7,8,9,10,11,12], 4) represents: 1 2 3 45 6 7 89 10 11 12 and (1,2,0,1) represents the submatrix between column indices 1 and 2 (both inclusive), and row…
- After your interviews at Google and Microsoft, you started getting comfortable with the interview process and wanted to give it a try with Amazon as well. As Amazon makes more money by selling items to people, regardless of people really need those items or not, they are interested in suggesting ”related” items to the query word of a user. It also happens that people make typos such that the letters are typed out of order. You are given a list of n words, which consists of words that are used in the names of items sold on Amazon. You are being asked to suggest a data structure to store these words in memory, which will efficiently suggest words that are consisting of the same letters as the query word in constant time. For example, if the user is searching for ”silent”, you should suggest the word ”listen”, among other words that are stored in your data structure. What sort of a data structure would you use? Why? Explain the advantage of using this data structure for that problem.…When faced with a difficult problem in mathematics, it often helps to draw a picture. If the problem involves a discrete collection of interrelated objects, it is natural to sketch the objects and draw lines between them to indicate the relationships. A graph (composed of dots called vertices connected by lines or curves called edges) is the mathematical version of such a sketch. The edges of a graph may have arrows on them; in this case, the graph is called a directed graph. When we draw a graph, it doesn’t really matter where we put the vertices or whether we draw the edges as curved or straight; rather, what matters is whether or not two given vertices are connected by an edge (or edges). The degree of a vertex is the number of edges incident to it (i.e., the number of times an edge touches it). This is different than the number of edges touching it, because an edge my form a loop; for instance, vertex ? in graph ? (above) has degree 5. In a directed graph, we can speak of the…A 2D matrix can be represented as a list and a column count value in Python. For example, the 3x3 matrix 1 2 34 5 67 8 9 can be row-wise represented as ([1,2,3,4,5,6,7,8,9], 3), where the number 3 represents the number of columns in the matrix. Similarly, 1 3 52 4 6 becomes ([1,3,5,2,4,6], 3). A submatrix can be defined as an (l,r,t,b) tuple, where l and r are left and right column indices, and t and b are top and bottom row indices (all inclusive). Write a function that takes a tuple containing the list representing a matrix, and the column count of the matrix, along with another tuple representing a specific submatrix, and returns the list representation of the submatrix along with its column count as a tuple. For example, given submatrix(([1,2,3,4,5,6,7,8,9,10,11,12], 4), (1,2,0,1)) returns: ([2,3,6,7], 2) because, ([1,2,3,4,5,6,7,8,9,10,11,12], 4) represents: 1 2 3 45 6 7 89 10 11 12 and (1,2,0,1) represents the submatrix between column indices 1 and 2 (both inclusive), and row…
- When faced with a difficult problem in mathematics, it often helps to draw a picture. If the problem involves a discrete collection of interrelated objects, it is natural to sketch the objects and draw lines between them to indicate the relationships. A graph (composed of dots called vertices connected by lines or curves called edges) is the mathematical version of such a sketch. The edges of a graph may have arrows on them; in this case, the graph is called a directed graph. When we draw a graph, it doesn’t really matter where we put the vertices or whether we draw the edges as curved or straight; rather, what matters is whether or not two given vertices are connected by an edge (or edges). The degree of a vertex is the number of edges incident to it (i.e., the number of times an edge touches it). This is different than the number of edges touching it, because an edge my form a loop; for instance, vertex ? in graph ? (above) has degree 5. In a directed graph, we can speak of the…When faced with a difficult problem in mathematics, it often helps to draw a picture. If the problem involves a discrete collection of interrelated objects, it is natural to sketch the objects and draw lines between them to indicate the relationships. A graph (composed of dots called vertices connected by lines or curves called edges) is the mathematical version of such a sketch. The edges of a graph may have arrows on them; in this case, the graph is called a directed graph. When we draw a graph, it doesn’t really matter where we put the vertices or whether we draw the edges as curved or straight; rather, what matters is whether or not two given vertices are connected by an edge (or edges). The degree of a vertex is the number of edges incident to it (i.e., the number of times an edge touches it). This is different than the number of edges touching it, because an edge my form a loop; for instance, vertex ? in graph ? (above) has degree 5. In a directed graph, we can speak of the…When faced with a difficult problem in mathematics, it often helps to draw a picture. If the problem involves a discrete collection of interrelated objects, it is natural to sketch the objects and draw lines between them to indicate the relationships. A graph (composed of dots called vertices connected by lines or curves called edges) is the mathematical version of such a sketch. The edges of a graph may have arrows on them; in this case, the graph is called a directed graph. When we draw a graph, it doesn’t really matter where we put the vertices or whether we draw the edges as curved or straight; rather, what matters is whether or not two given vertices are connected by an edge (or edges). The degree of a vertex is the number of edges incident to it (i.e., the number of times an edge touches it). This is different than the number of edges touching it, because an edge my form a loop; for instance, vertex ? in graph ? (above) has degree 5. In a directed graph, we can speak of the…
- Computer Science Given a dataframe with two columns (x and y), I have found a function on Python that gives a local fit value (essentially between two set values x it gives the average of all values of y). Now the questions asks us to create 2 graphs - one that shows the average per value of x and another one that shows the difference to that average that we found. What does this mean?As compared to other data structures like a linked list or tree, this one offers many benefits.When compared to alternative data structures like a linked list or an array, how are binary search trees better?