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- C PROGRAMMING. you are to write a TCP/IP server that can build up a graph of a network ofnetworks (using the supplied graph library and implementation of Dijkstra’s algorithm) and thenquery that graph to find out which link between two networks should be used as the next hop tosend a packet of data from one network to another within the network of networks (using thesupplied implementation of Dijkstra’s algorithm). using the following program as a start point: /* * NetworkServer.c * ProgrammingPortfolio Skeleton * */ /* You will need to include these header files to be able to implement the TCP/IP functions */#include <stdio.h>#include <stdlib.h>#include <string.h>#include <sys/types.h>#include <netinet/in.h>#include <netdb.h>#include <fcntl.h>#include <unistd.h>#include <errno.h>#include <sys/socket.h> /* You will also need to add #include for your graph library header files */ int main(int argc, const char * argv[]){…One way to avoid Runge's problem is to choose non-equally spaced data points. A particularly good set to choose are the so-called Chebyshev nodes. To use these, replace the equidistant points xk produced by xeq with xk = COS 2k+1 2n+2 for k=0,..., n. (3.4) Generate data points using (3.4) and (3.3), then plot the resulting Lagrange interpolating polynomial and, hence, show that using (3.4) solves the Runge problem.Problem Alice was given a number line containing every positive integer, x, where 1<=x<=n. She was also given m line segments, each having a left endpoint, l (1<=l<=n), a right endpoint, r (1<=r<=n), and an integer weight, w. Her task is to cover all numbers on the given number line using a subset of the line segments, such that the maximum weight among all the line segments in the chosen subset is minimal. In other words, let S=(l1,r1,w1),(l2,r2,w2),....,(lk,rk,wk), represent a set of k line segments chosen by Alice, max(w1,w2,...,wk) should be minimized. All numbers 1,2,....n should be covered by at least one of k the chosen line segments. It is okay for the chosen line segments to overlap. You program should output the minimized maximum weight in the chosen subset that covers all the numbers on the number line, or -1 if it is not possible to cover the number line. Input format The first line of the input contains an integer, n - denoting the range of numbers…
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- Describe an efficient algorithm for finding a maximum spanning tree in G, which would maximize the bandwidth between two switching centers. Describe the problem in terms of input and expected output clearly. Develop a program that accepts a network G of switching centers and the bandwidth between them (not all are connected directly with each other) and two switching centers a and b; it will output the maximum bandwidth between any two switches a and b. Please give solution in Java/C/Python languageCreate an algorithm for the Dijkstra Shortest Weighted Path based on the provided data.G is a weighted (directed or undirected) network, and s is a node in it.post-cond: specifies the shortest weighted route from s to each node of G, and d the lengths of those paths.Plot the function SawtoothWave[x] over 0Construct the call graph for a set of seven telephonenumbers 555-0011, 555-1221, 555-1333, 555-8888,555-2222, 555-0091, and 555-1200 if there were threecalls from 555-0011 to 555-8888 and two calls from555-8888 to 555-0011, two calls from 555-2222 to555-0091, two calls from 555-1221 to each of theother numbers, and one call from 555-1333 to each of555-0011, 555-1221, and 555-1200.Code should be done in JAVA. We required to implement Dijkstra’salgorithm code in java and determine the shortest commute time between any two airports in thenetwork. we read given data from file(airline_network )Consider a (7,4) code with generator matrixG=[1 1 0 1 0 0 00 1 1 0 1 0 01 1 1 0 0 1 01 0 1 0 0 0 1 ] , Encode the messages 1110, 1010, 0001.SEE MORE QUESTIONS