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Asked: September 26, 20242024-09-26T11:16:12+05:30 2024-09-26T11:16:12+05:30

How can we optimize clicks to reveal all safe squares in a Minesweeper-style game?

anonymous user

I’ve been diving into this intriguing challenge that’s all about optimizing clicks in a Minesweeper-style game, and I could really use some help. So, here’s the scoop: imagine we have a grid filled with mines and blank spaces. The game’s twist is that we want to figure out the minimum number of clicks needed to reveal all non-mine squares. The catch? Every time you click a square that is blank, it potentially reveals neighboring squares, like a ripple effect, which could lead to uncovering large portions of the grid in one go.

Here’s where it gets interesting: we also have some hidden squares that, by some chance, are revealed when you click. So, if you click on a blank square or a non-mine square, you get bonus points for revealing adjacent squares. But if you accidentally click on a mine? Well, that’s game over. Your goal is to strategize in such a way that minimizes clicks while maximizing the areas you reveal.

Now, here’s my problem for you: let’s say we have a 5×5 grid where there are randomly placed mines. The grid can be represented with ‘M’ for a mine and ‘0’ for a safe square. With this setup, how would you go about finding the minimum clicks required to reveal every safe square? Would you start by clicking in the corner, or is there a better spot to ensure you clear the most squares? Plus, what strategies would you implement to avoid clicking those pesky mines?

I’d love to hear about your thought process! Do you have any algorithms or heuristics you’d apply here? Or perhaps you have a clever way of visualizing the grid to make clicking decisions even easier. Let’s brainstorm together!

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    1. anonymous user
      2024-09-26T11:16:13+05:30Added an answer on September 26, 2024 at 11:16 am



      Minesweeper Click Strategy

      Minesweeper Click Strategy

      So, I’ve been thinking about how to tackle this Minesweeper game and figure out the best way to click on the grid to reveal all the safe squares. Here’s a simple plan I came up with!

      Step 1: Representing the Grid

      First, let’s visualize our 5×5 grid with mines. We’ll use a simple 2D array:

          
          grid = [
              ['0', '0', 'M', '0', '0'],
              ['0', 'M', '0', 'M', '0'],
              ['0', '0', '0', '0', '0'],
              ['M', '0', 'M', '0', '0'],
              ['0', '0', '0', 'M', '0']
          ]
          
          

      Step 2: Finding a Good Click

      I want to avoid the mines, so I think clicking on a corner maybe isn’t the best idea. Instead, I should look for a spot that has the most adjacent blank squares. We can use a simple function to calculate that:

          
          def find_best_click(grid):
              best_click = None
              max_zeros = -1
              
              for i in range(len(grid)):
                  for j in range(len(grid[i])):
                      if grid[i][j] == '0':
                          count = count_adjacent_zeros(grid, i, j)
                          if count > max_zeros:
                              max_zeros = count
                              best_click = (i, j)
              
              return best_click
              
          def count_adjacent_zeros(grid, x, y):
              count = 0
              for dx in [-1, 0, 1]:
                  for dy in [-1, 0, 1]:
                      if (dx != 0 or dy != 0) and 0 <= x + dx < len(grid) and 0 <= y + dy < len(grid[0]):
                          if grid[x + dx][y + dy] == '0':
                              count += 1
              return count
          
          

      Step 3: Clicking Strategy

      After finding the best spot to click, I think I need to keep track of the squares I have already clicked on to make sure I don’t click the mines again. I’ll create a list of revealed squares:

          
          revealed = set()
          
          def click_square(grid, x, y):
              if (x, y) in revealed or grid[x][y] == 'M':
                  return
              revealed.add((x, y))
              # Check for adjacent squares and click if they are '0'
              for dx in [-1, 0, 1]:
                  for dy in [-1, 0, 1]:
                      if (dx != 0 or dy != 0) and 0 <= x + dx < len(grid) and 0 <= y + dy < len(grid[0]):
                          click_square(grid, x + dx, y + dy)
          
          

      Putting It All Together

      In the end, I would keep clicking the best spots I can find, avoiding mines, and trying to reveal as many squares as possible with each click. It might also help to keep a record of clicked spots or nearby mines to avoid bad clicks in the future!

      And that’s pretty much my thought process on how to tackle this Minesweeper challenge! I hope this helps anyone else looking for strategies!


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    2. anonymous user
      2024-09-26T11:16:13+05:30Added an answer on September 26, 2024 at 11:16 am



      Minesweeper Optimization

      In a 5×5 Minesweeper-like grid with randomly placed mines (‘M’) and safe spaces (‘0’), the goal is to minimize clicks while maximizing the number of revealed squares. A strategic approach involves identifying clusters of safe squares that can potentially be revealed with a single click. Implementing a breadth-first search (BFS) or depth-first search (DFS) algorithm can help traverse the grid, keeping track of revealed squares and ensuring no mines are clicked. Start by clicking a corner or an edge, as these positions tend to lead to fewer adjacent squares that could be mines. Each click on a safe square reveals surrounding safe squares, allowing players to click in regions where the likelihood of hitting a mine is lower.

      When designing the algorithm, maintain a visited set to track safely uncovered squares and use a queue (for BFS) or stack (for DFS) to manage clicks efficiently. Implement heuristics to prioritize clicks on squares adjacent to the largest clusters of revealed spaces or farthest from known mines. After an initial click on a blank space, dynamically evaluate the revealed squares and adjust future click strategies based on the updated grid status, thereby maximizing area coverage while minimizing the risk of hitting mines. Visualization tools, such as a grid display highlighting potential safe zones or danger zones based on past clicks, can aid in making informed decisions throughout the gameplay.


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