The module test2 contains a pandas DataFrame colors with a list of colors along with their hexadecimal color codes and RGB channel values between 0 and 255 (i.e., the mixture of the basic colors red, green, and blue that gives the color). The first few entries look like this: color hex red channel green channel blue channel O dark sea green #8fbc8f 143 188 143 1 gray #808080 128 128 128 2 orange red #ff8c00 255 69 0 3 lime green 4 lavendar #32cd32 50 #e6e6fa 230 205 50 230 250 1. Take the original table, augment it by one column, "grayscale", and assign the new table to the variable colors_extra. The values of the grayscale column should be the grayscale values of the colors, i.e., the mean of their red, green, and blue channel values. 2. Define a second DataFrame mixed_color_table whose entries are mixtures of subsequent colors in colors, i.e., the first entry is the mixture of the first and second original color, the second entry is the mixture of the third and fourth original color, and so on. The new DataFrame should have four columns, "mix", "red channel", "green channel", and "blue channel". The value of mix should be the name of the first color, followed by a plus sign, followed by the name of the second color. For example, "blue+crimson" when mixing "blue" and "crimson". The values of the three color channels should be the mean of the corresponding color channels of the original colors. (Note: You can assume that the total number of colors in the original colors DataFrame is even.)

A palindrome is a word spelled the same way backwards and forwards. For example, Anna, radar, madam and racecar are all palindromes. Certain words can be turned into palindromes when the first letter is removed and added at the back, e.g. 'potato' will read the same backwards if we remove the 'p' and add it at the back, i.e. 'otatop' read backwards will still say 'potato'. Similarly, 'banana' when you remove the 'b' and add it at the back so that it becomes 'ananab' will still say 'banana' if you read it backwards. Write a program that reads a word into a C-string (a character array). The program should then determine whether the word would be a palindrome if we remove the first character and add it at the back of the word. Use only C-string functions and C-strings. Assume that we will not work with words longer than 20 characters. Hint: You may consider using the C-string function strrev () but it is not compulsory. Remember to plan your program!

Write a program that lets the user enter a charge account number. The program should determine if the number is valid by checking for it in the following list: 5658845 4520125 7895122 8777541 8451277 1302850 8080152 4562555 5552012 5050552 7825877 7881200 1250255 1005231 6545231 3852085 7576651 4581002 Initialize a one-dimensional array with these values. Then use a simple linear search to locate the number entered by the user. If the user enters a number that is in the array, the program should display a message saying the number is valid. If the user enters a number not in the array, the program should display a message indicating it is invalid.