STINGY SAT is the following problem: given a set of clauses (each a disjunction of literals) and an integer k, find a satisfying assignment in which at most k variables are true, if such an assignment exists. Prove that STINGY SAT is NP-complete.

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.

The total revenues for a company are $150,223 and the total expenses were 125,766. if you are calculating the net income, which of these spreadsheets would you use? insert a spreadsheet with $150,223 in cell b2 and 125, 766 in cell b3. enter a formula =b2-b3. the formula should be showing in the formula bar. insert a spreadsheet with $150,223 in cell b2 and 125, 766 in cell b3. enter a formula =b2+b3. the formula should be showing in the formula bar. insert a spreadsheet with $150,223 in cell b2 and 125, 766 in cell b3. enter a formula =b2/b3. the formula should be showing in the formula bar. insert a spreadsheet with $150,223 in cell b2 and 125, 766 in cell b3. enter a formula =b2*b3. the formula should be showing in the formula bar.

What is used to analyze and summarize your data without graphical support