Investigate the problem with the colour of the graph. Examine both greedy and backtracking algorithms in order to find a solution to the problem. Programming languages include the likes of Python, C/C++, and Java, among others.
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Investigate the problem with the colour of the graph. Examine both greedy and backtracking
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- There is a line y=mx+c and a point (a,b) on a graph and our aim is to make the line touch the point by adjusting in it's gradient and y-intercept. In C++, R and python write a code that can make the line touch the point no matter where it is on the graph.A graph is a collection of vertices and edges G(V, E). A weighted graph has weights (numbers, etc.) on every edge. A multigraph can have more than one edges between any vertices. Explain why a person should use a weighted graph instead of a multigraph. Give examples. An adjacency matrix might be a better choice for speeding up a program, however, it consumes huge memory for large graphs. How this situation can be improved? What programming constructs better suit graph representation? Explain with exampleImplement a sorting algorithm of your choice in Java and What are some factors to consider when determining which sorting algorithm would be best to utilize? In your answer, specifically think of and give a real-life scenario where: A given sorting algorithm is used One algorithm outperforms the other Please and Thank you
- Recursive filtering techniques are often used to reduce the computational complexity of a repeated operation such as filtering. If an image filter is applied to each location in an image, a (horizontally) recursive formulation of the filtering operation expresses the result at location (x +1, y) in terms of the previously computed result at location (x, y). A box convolution filter, B, which has coefficients equal to one inside a rectangular win- dow, and zero elsewhere is given by: w-1h-1 B(r, y,w, h) = ΣΣΤ+ i,y + ) i=0 j=0 where I(r, y) is the pixel intensity of image I at (x, y). We can speed up the computation of arbitrary sized box filters using recursion as described above. In this problem, you will derive the procedure to do this. (a) The function J at location (x,y) is defined to be the sum of the pixel values above and to the left of (x,y), inclusive: J(r, y) = - ΣΣ14.0 i=0 j=0 Formulate a recursion to compute J(r, y). Assume that I(r, y) = 0 if r <0 or y < 0. Hint: It may be…please fast and solve in java and solve it allonly java program, a word search puzzle, where one is presented with a grid of letters and needs to find a word by choosing adjacent letters, is the Knight-move word search puzzle, where you’re presented with a grid of letters and need to find a word in a configuration where adjacent letters in the word are reachable by moving like a knight in chess. A knight in chess moves from its current spot by either two rows and one column, or two columns and one row, in any direction. So, the knight at position "K" in the table below, can move to any of the spaces labeled "X" Write a java program that tries to find a word in a grid of letters where each letter is connected to the next by a knight move. Some specific puzzle rules: •You can never "wrap around" any edge of the grid •You can never use the same letter twice. There will be several input instances from a data file. Each input will begin with values r and c (both ≤ 8), denoting the dimensions of the grid. Values of r or c of 0 signify…
- 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…
- 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…Using the C Programming language, write a program that sums an array of 50 elements. Next,optimize the code using loop unrolling. Loop unrolling is a program transformation that reduces thenumber of iterations for a loop by increasing the number of elements computed on each iteration.Generate a graph of performance improvement.JAVA code that shows the trajectories of hyperbolic and plot it.