Acelebrity among a group of n people is a person who knows nobody but is known by everybody else. the task is to identify a celebrity by only asking questions to people of the form ""do you know him/her? "" design an efficient algorithm to identify a celebrity or determine that the group has no such person. how many questions does your algorithm need in the worst case?

In the first case the complexity is 0(n) and in the second one the complexity is 0(n^2).

Explanation:

Consider that the celebrity is recognized to exit among give "n" group of people.

The following algorithm are:

If n=1,

that one person is inanely a celebrity by a definition.

If n>2,

than choose 2 people from "n" group "A" and "b" and ask whether "A" is knows "B", remove "A" from remaining people from who can be celebrity.

If "A" dose not know's "B", than remove "B".

Than solving the problem from the same recursively method from the same "n" group  until the "n-1" group of people who can be the celebrity.

Here, the complexity is 0(n).

In the Next Case:

Visit to each of the person and ask them that the resulting "n-1" the best and the worst case of 0(n^2)

the benefits of raising bc’s minimum wage to $15 through a

series of pre-announced staged increases far outweigh the likely

costs. claims that such an increase will lead to massive job losses

in low-wage sectors of the economy are not credible.

• an increase to $15 would result in some job losses. however,

the likely impact is less than a 1 per cent reduction in the overall

provincial employment rate, and a 7.6 per cent reduction in the

employment rate for those currently making between $10.25

and $15 per hour.

• the large job loss impacts predicted by some opponents of

minimum wages misrepresent the existing economic research. in

reading and using that research, it is important to recognize that

estimates showing job loss effects of minimum wage increases

apply only to teenagers. estimated effects for young adult and

adult workers range from insignificant to non-existent.

• focusing on teenage workers plays up an inaccurate stereotype

about who earns very low wages in bc and leads to exaggerated

claims about job losses. only 26 per cent of those currently making

between $10.25 and $12 are teenagers, and only 5 per cent

of those making between $12 and $15 are teenagers.