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A pilot was asked to drop food packets in a terrain. He must fly over the entire terrain only once but cover a maximum number of drop points. The points are given as inputs in the form of integer co-ordinates in a twodimensional field. The flight path can be horizontal or vertical, but not a mix of the two or diagonal. Write an algorithm to find the maximum number of drop points that can be covered by flying over the terrain once. Input The first line of input consists of an integerx Coordinate_size, representing the number of x coordinates (N). The next line consists of N space-separated integers representing the x coordinates. The third line consists of an integery Coordinate_size, representing the number of y coordinates (M). The next line consists of M space-separated integers representing the y coordinates. Output Print an integer representing the number of coordinates in the beshoth which covers the maximum number of drop points by flying over the terrain once. Constraints 1

2 Answers

3 votes

Final answer:

To solve this problem, create a grid representing the terrain and traverse it horizontally and vertically to count drop points, yielding the maximum number of drop points covered.

Step-by-step explanation:

To solve this problem, we can create a grid representing the terrain, with each cell either occupied or not occupied based on the given coordinates. We can then traverse the grid horizontally and vertically, keeping track of the maximum number of drop points covered. Here is a step-by-step algorithm:

  1. Create a grid with appropriate dimensions based on the given coordinates.
  2. Mark each cell in the grid as occupied if the corresponding coordinates are given.
  3. Initialize a variable to keep track of the maximum number of drop points covered.
  4. Traverse the grid horizontally and count the number of drop points covered in each row. Update the maximum if necessary.
  5. Traverse the grid vertically and count the number of drop points covered in each column. Update the maximum if necessary.
  6. Print the maximum number of drop points covered.
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User Paulo Oliveira
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8.2k points
5 votes

Final answer:

To find the maximum number of drop points that can be covered by flying over the terrain once, we can use a greedy algorithm.

Step-by-step explanation:

To find the maximum number of drop points that can be covered by flying over the terrain once, we can use a greedy algorithm.

First, we need to create a set of all the points represented by the given x and y coordinates. This is done to eliminate any duplicate points.

Next, we need to iterate through each coordinate pair and check if the horizontal or vertical line passing through that point covers any new drop points. We can do this by counting the number of unique points that lie on the line. We keep track of the maximum count encountered so far and update it whenever a higher count is found.

The maximum number of drop points covered by flying over the terrain once is the final maximum count.

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User Lostlemon
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8.4k points