Write a function check_palindrome that takes a string as an input and within that function determines whether the input string is a palindrome or not (a word or phrase that is read the same forward as it is backward - i. e. kayak, dad, etc.). If it is a palindrome, return 'Hey! That's a palindrome!' If it is not a palindrome, return 'Bummer. Not a palindrome.' Remember that you created a function that can reverse a string above.

Write a program called assignment3 (saved in a file assignment3.java) that computes the greatest common divisor of two given integers. one of the oldest numerical algorithms was described by the greek mathematician, euclid, in 300 b.c. it is a simple but very e↵ective algorithm that computes the greatest common divisor of two given integers. for instance, given integers 24 and 18, the greatest common divisor is 6, because 6 is the largest integer that divides evenly into both 24 and 18. we will denote the greatest common divisor of x and y as gcd(x, y). the algorithm is based on the clever idea that the gcd(x, y) = gcd(x ! y, y) if x > = y and gcd(x, y) = gcd(x, y ! x) if x < y. the algorithm consists of a series of steps (loop iterations) where the “larger” integer is replaced by the di↵erence of the larger and smaller integer. this continues until the two values are equal. that is then the gcd.

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How is the number 372 written when expanded out to place values in the base 8 (octal) number system? a. 2 x 4 + 3 x 2 + 4 x 1 b. 3 x 64 + 7 x 8 + 2 x 1 c. 3 x 8 + 7 x 7 + 2 x 6 d. 3 x 100 + 7 x 10 + 2 x 1