1. (15%) Prove the following program is correct: {n > 0} count = n; sum = 0; P: {n>0 and count = n and sum = 0} while count 0 do sum = sum + count; count = count 1; end Q: {sum = 1 + 2 +… + n} Please note that you need to do this question in the following steps: a) Find a candidate loop invariant I. Show the induction steps using which you find I. Σn k=1 k - Σn k=1k = 0 c)Show {I and B} S {I} P: {sum + count = n + (n-1) +…. + (count+1) + count} => I: {sum = n + (n-1) +…. + (count+1)}
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NUMBER OF BARANGAYS CREATED‚ REINSTATED‚ DELISTED AND TRANSFERRED FOR THE PERIOD 1992 TO 1995 TOTAL NUMBER OF BARANGAYS REGION As of Dec. 31‚ 1991 3‚263 2‚311 2‚940 5‚610 7 16 3 9 Transferred Created Reinstated Delisted - + As of Dec. 31‚ 1995 3‚265 2‚311 2‚947 5‚614 0 0 I II III IV IV-A IV-B V VI VII VIII IX X XI XII XIII CAR NCR ARMM TOTAL 2 3‚458 4‚047 3‚002 4‚389 2‚109 2‚496 1‚800 1‚401 4 1 1 3 28 14 30 29 1 1 2 24 996 308 246 9 3‚471 4‚048 3‚003 4‚390 2‚113 1‚514
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October 4‚ 2012 High Intensity Interval Training: For the Serious Athlete There have been many different theories that claim to be your “one way ticket to six pack abs”. Nutrition companies come up with miracle fat burning pills which claim that you don’t have to change anything about your lifestyle and your body fat will just magically melt away. Those are all just empty capsules filled with dried‚ ground up plants that do absolutely nothing for your body except for a possible placebo effect
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1. A _____ is everything‚ both favorable and unfavorable‚ that a person receives in an exchange. It can be tangible‚ intangible‚ a service‚ an idea‚ or a combination of these things. a. brand equity b. quality c. warranty d. product liability e. product ____ 2. _____ products are purchased with little shopping effort. These products are purchased regularly‚ usually with little planning‚ and require wide distribution. a. Convenience b. Specialty c. Branded d.
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A Mid-Summer Night ’s Dream‚ Opus: Op. 61: Wedding March as composed by Felix Mendelssohn. Kind of music as referred or viewed with a referential listener that shows the dramatic end of the twist-love stories. The story was so inspiring as well as to music being composed and used as soundtrack for many wedding movie‚ in the sense that the referential listener felt each character being portrayed. And despite to all odds‚ there ’s still a rainbow after the rain intention and desired of the
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Diana Gutierrez English Comp 1 2/10/12 Theresa de Souza Spaying and Neutering: Should It Be Mandatory I have been raised with cats all of my life but we never had a cat neuter or spayed. If one of our cats had kittens then we are responsible for taking care of them and we always managed to either raise them outdoors or find a home for them. Now that I’m raising a male cat indoors it’s a different view for me. I have notice 3 to 4 cats with collars on outside of my apartment complex
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Peer pressure is defined as an influence from members of one’s peer group. Peer pressure can make good people do bad things. But‚ it doesn’t mean pressure comes from the other peers‚ it may often put on by you. Actually‚ peer pressure is inevitable in teenage life. So‚ how can we resist peer pressure? We must stand up! Four simple steps can help you to gain the strength to be your own person. First‚ we must keep on a look out for more dangers. And‚ identify any situations that you might be pressured
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First Amendment What is 1st Amendment? First Amendment gives the citizens of the United States the freedom of religion‚ speech‚ press‚ assembly and petition. It was adopted in 1791 and is one of the amendments that are part of the Bill of Rights. It sounds simple as we read it but do we really understand how this amendment impacts our life and our everyday living? As my parents reminded me‚ everybody has the freedom of speech but we have to keep in mind that it should be used with respect
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1.How does the Government improve the operation of the market systems?: (a) by providing an appropriate legal and social framework and (b) by acting to maintain competition. 2.Refer to the diagram regarding equilibrium price and quantity. The equilibrium price and quantity in this market will be: $1.00 and 200 3.Basic determinants of demand are:: 1. consumers’ tastes (preferences)‚ 2. the number of buyers in the market; 3. consumers’ incomes‚ 4. the prices of related goods‚ 5. consumer expectations
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Chris Hogan 12/10/12 p. 3 Chapter 4 paper In this chapter one of the first things we learned was that you can make complex equations look simpler by making substitutions. Take the equation: 2tan2-3tan-2=0 To make this look simpler you can substitute u for tan to get: 2u2-3u-2=0 From there you can us the quadratic formula to get: u= -0.5‚ 2 With this you can now say tan=2 and tan=-0.5 which makes solving for much easier. In this case substitutions made solving much easier and less
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