check whether a number is an Armstrong Number or not Armstrong (Michael F. Armstrong) number is a number that is equal to the sum of cubes of its digits. For example 0, 1, 153, 370, 371 and 407 are the Armstrong numbers
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- i. Using the graph below, implement the Breadth First Search algorithm considering the final state is eight(8) and the initial state is five(5) using the python programming language. N.b Kindly add comments to your code ii.. Descriibe in summary how the algorithm was implemented.(Data processing) a. Write an algorithm to locate the first occurrence of the name JEAN in a list of names arranged in random order. b. Discuss how you could improve your algorithm for Exercise 7a if the list of names were arranged in alphabetical order.R progranmming
- PERFECT CUBES AND SQUARES PROBLEMSThe product of some integer with itself is called a perfect square. A perfect cube isthe result of multiplying an integer three times by itself. Assume that a perfectcube greater than 2000 is considered a large perfect cube, the ones between 500and 2000 (inclusive) are medium perfect cubes and the ones below 500 are smallprefect cubes. A perfect cube is associated with a perfect square if the sameinteger is either cubed or squared i.e. the perfect square 4 (2x2) is associated withthe perfect cube 8 (2x2x2)Write a program which:1. Asks the user to enter a perfect square.2. Finds the associate perfect cube.3. Determines whether the found perfect cube is small, medium or large.4. Informs the user if the input is not a perfect square.5. Ask the user is they would like to continue or not. Use a while loop to dothis.For example,Example 1:Enter perfect square: 36216 is a small perfect cubeContinue (Y/N): YEnter perfect square: 4008000 is a large perfect…Words that contain given letter sequence def words_with_letters(words, letters): This might be a good place to bring in some general discrete math terminology that makes our problem specifications less ambiguous. A substring of a string consists of characters taken in order from consecutive positions. Contrast this with the similar concept of subsequence of characters still taken in order, but not necessarily at consecutive positions. For example, each of the five strings '', 'e', 'put', 'ompu' and 'computer' is both a substring and subsequence of the string 'computer', whereas 'cper' and 'out' are subsequences but not substrings. Note how the empty string is automatically a substring of every possible string. Every string is always its own substring, although not a proper substring the same way how all other substrings are proper. Concepts of sublist and subsequence are defined for lists in an analogous manner. Since sets have no internal order on top of the element membership in…ISBN-13 is a new standard for identifying books. It uses13 digits d1d2d3d4d5d6d7d8d9d10d11d12d13. The last digit d13 is a checksum, which iscalculated from the other digits using the following formula: 10 - (d1 + 3d2 + d3 + 3d4 + d5 + 3d6 + d7 + 3d8 + d9 + 3d10 + d11 + 3d12)%10If the checksum is 10, replace it with 0. Your program should read the input as astring. Here are sample runs: Enter the first 12 digits of an ISBN-13 as a string: 978013213080 ↵EnterThe ISBN-13 number is 9780132130806
- JAVA CODE PLS THANK YOU 1. The Perfectionist's Problem by CodeChum Admin I am what you call a perfectionist. I always strive for perfection, and I appreciate everyone and everything that is perfect. That is why I have recently acquired an appreciation for perfect numbers! I absolutely need to know which numbers from 1 to 1000 are considered perfect. From what I recall, a perfect number is a positive integer that is equal to the sum of all its divisors other than itself. Example: 6 is a perfect number because 6 = 1 + 2 + 3 Output A single line containing the perfect numbers separated by a space. Note: The sample output below contains "dots" which are just representations (or dummies) for the actual values. 6·28·.....i. Using the graph below, implement the Depth First Search algorithm considering the final state is eight(8) and the initial state is five(5) using the python programming language. N.b Kindly add comments to your code ii.. Descriibe in summary how the algorithm was implemented.The greatest common divisor of two positive integers, A and B, is the largest number that can be evenly divided into both of them. Euclid's algorithm can be used to find the greatest common divisor (GCD) of two positive integers. You can use this algorithm in the following manner: 1. Compute the remainder of dividing the larger number by the smaller number. 2. Replace the larger number with the smaller number and the smaller number with the remainder. 3. Repeat this process until the smaller number is zero. The larger number at this point is the GCD of A and B. Write a program that lets the user enter two integers and then prints each step in the process of using the Euclidean algorithm to find their GCD. An example of the program input and output is shown below: Enter the smaller number: 5 Enter the larger number: 15 The greatest common divisor is 5
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