Question

There are k stars in the space and an origin star, find the nearest 100 stars from the origin star.

Answer 1

This problem can be solved by comparing.

Let the distance between the stars be (a,b)

Distance between 2 points can be calculated using the formula:

dist = (x1,y1) to (x2,y2) = square root((x2 - x1)^2 + (y2 - y1)^2);

Therefore O(K) time is required.

For every star ‘n’ from K ie (n-K)

You need to find distance from the origin star K, compare the distance with the previous distance you got. Every time the new star is found closer to  K than the previous, replace it  with the new one.

Alternative method:
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Another method is O((n-k)logk) time is taken to complete. Similarly do for rest of the stars to find the nearest. Overall Time complexity is O(k + (n-k)logk + klogk).

Answer 2

Answer:

This problem can be solved by comparing.

Let the distance between the stars be (a,b)

Distance between 2 points can be calculated using the formula:

dist = (x1,y1) to (x2,y2) = square root((x2 - x1)^2 + (y2 - y1)^2);

Therefore O(K) time is required.

For every star ‘n’ from K ie (n-K)

You need to find distance from the origin star K, compare the distance with the previous distance you got. Every time the new star is found closer to K than the previous, replace it with the new one.

Alternative method:

Alternative method:-----------------------------

Another method is O((n-k)logk) time is taken to complete. Similarly do for rest of the stars to find the nearest. Overall Time complexity is O(k + (n-k)logk + klogk).

Step-by-step explanation:

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