There is only one part in this programming project. You will write a Python program that implements an oversimplified simulation of diffusion in a 2-D square grid. Suppose we have a 10 x 10 grid, implemented as a 2-D array of floating point numbers, with 10 rows and 10 columns. grid(i, j) is the grid point at row i, column j. A chemical is injected into the grid, from several sources positioned in the grid. Each data point grid(i, j) represents the current concentration of the chemical. If a source is positioned at grid(i,j), then the concentration of the chemical at grid(i,j) is a constant. From each grid point, the chemical will slowly diffuse into its 4 nearest neighbors, according to the following equation: new grid[ (i,j)]-0.5* cur grid[(i,j)] + .125* (sum of 4 nearest neighbors of cur grid[ (i,j)]) Note: The points on the boundaries of the grid are not updated. The grid is always square. The program first prompts the user to enter the name of an input file. The input file contains the initial parameters for the diffusion simulation. The file format is: Number of simulation steps Width of grid Initial concentration Number of sources Row number of source 1 Row number of source 2column number of source 2 Row number of source 3column number of source 3 Row number of source 4column number of source 4 Etc... data of source 1 data of source 2 data of source 3 data of source 4 column number of source 1 Two sample files, in1.txt and in2.txt, are presented next (you can make your own, of course). You will need to create these files for testing your program. There is only one part in this programming project. You will write a Python program that implements an oversimplified simulation of diffusion in a 2-D square grid. Suppose we have a 10 x 10 grid, implemented as a 2-D array of floating point numbers, with 10 rows and 10 columns. grid(i, j) is the grid point at row i, column j. A chemical is injected into the grid, from several sources positioned in the grid. Each data point grid(i, j) represents the current concentration of the chemical. If a source is positioned at grid(i,j), then the concentration of the chemical at grid(i,j) is a constant. From each grid point, the chemical will slowly diffuse into its 4 nearest neighbors, according to the following equation: new grid[ (i,j)]-0.5* cur grid[(i,j)] + .125* (sum of 4 nearest neighbors of cur grid[ (i,j)]) Note: The points on the boundaries of the grid are not updated. The grid is always square. The program first prompts the user to enter the name of an input file. The input file contains the initial parameters for the diffusion simulation. The file format is: Number of simulation steps Width of grid Initial concentration Number of sources Row number of source 1 Row number of source 2column number of source 2 Row number of source 3column number of source 3 Row number of source 4column number of source 4 Etc... data of source 1 data of source 2 data of source 3 data of source 4 column number of source 1 Two sample files, in1.txt and in2.txt, are presented next (you can make your own, of course). You will need to create these files for testing your program
