indicates full intensity thuswhite is represented with all three components set to while black is represented with all three components set to we can define an abstract data type for color histogram that closely follows that of the general histogramdefine color histogram adt color histogram is container that can be used to collect and store frequency counts for multiple discrete rgb colors colorhistogram()creates new empty color histogram getcountredgreenblue )returns the frequency count for the given rgb colorwhich must be valid inccountredgreenblue )increments the count by for the given rgb color if the color was previously added to the histogram or the color is added to the histogram as new entry with count of totalcount()returns sum of the frequency counts for all colors in the histogram iterator ()creates and returns an iterator for traversing over the colors in the color histogram there are number of ways we can construct color histogrambut we need fast and memory-efficient approach the easiest approach would be to use three-dimensional array of size where each element of the array represents single color this approachhoweveris far too costly it would require array elementsmost of which would go unused on the other handthe advantage of using an array is that accessing and updating particular color is direct and requires no costly operations other options include the use of python list or linked list but these would be inefficient when working with images containing millions of colors in this we've seen that hashing can be very efficient technique when used with good hash function for the color histogramclosed hashing would not be an ideal choice since it may require multiple rehashes involving hundreds of thousandsif not millionsof colors separate chaining can be used with good resultsbut it requires the design of good hash function and the selection of an appropriately sized hash table different approach can be used that combines the advantages of the direct access of the - array and the limited memory use and fast searches possible with hashing and separate chaining instead of using - array to store the separate chainswe can use - array of size the colors can be mapped to specific chain by having the rows correspond to the red color component and the columns correspond to the green color component thusall colors having the