Boxes | Also known as Dots and Boxes | Game Engine library

The bounds object doesn't appear to be properly created. The purple p5 vertices you're rendering may be giving you a false sense of confidence, since those aren't necessarily related to what MJS sees.

It's actually a pretty simple fix, passing an array of vertices instead of individual arguments:

1) If box sizes are not equal:

• Sort boxes on X-axis
• Generate 1D adjacency list for each box, by comparing only within range (since it is 1D and sorted, you only compare the boxes within range) like [(1,2),(1,3),(1,5),....] for first box and [(2,1),(2,6),..] for second box, etc. (instead of starting from index=0, start from index=current and go both directions until it is out of box range)
• Iterate over 1D adjacency list and remove duplicates or just don't do the last step on backwards (only compare to greater indexed boxes to evade duplication)
• Group the adjacencies per box index like [(1,a),(1,b),..(2,c),(2,d)...]
• Sort the adjacencies within each group, on Y-axis of the second box per pair
• Within each group, create 2D adjacency list like [(1,f),(1,g),..]
• Remove duplicates
• Group by first box index again
• Sort (Z) of second box per pair in each group
• create 3D adjacency list
• remove duplicates
• group by first index in pairs
• result=current adjacency list (its a sparse matrix so not a full O(N*N) memory consumption unless all the boxes touch all others)

So in total, there are:

• 1 full sort (O(N*logN))
• 2 partial sorts with length depending on number of collisions
• 3 lumping pairs together (O(N) each)
• removing duplicates (or just not comparing against smaller index): O(N)

this should be faster than O(N^2).

2) If rectangles are equal sized, then you can do this:

• scatter: put box index values in virtual cells of a grid (i.e. divide the computational volume into imaginary static cells & put your boxes into a cell that contains the center of selected box. O(N)

• gather: Only once per box, using the grid cells around the selected box, check collisions using the index lists inside the cells. O(N) x average neighbor boxes within collision range

3) If rectangles are not equal sized, then you can still "build" them by multiple smaller square boxes and apply the second (2) method. This increases total computation time complexity by multiplication of k=number of square boxes per original box. This only requires an extra "parent" box pointer in each smaller square box to update original box condition.

This method and the (2) method are easily parallizable to get even more performance but I guess first(1) method should use less and less memory after each axis-scanning so you can go 4-dimension 5-dimension easily while the 2-3 methods need more data to scan due to increased number of cell-collisions. Both algorithms can become too slow if all boxes touch all boxes.

4) If there is "teapot in stadium" problem (all boxes in single cell of grid and still not touching or just few cells close to each other)

• build octree from box centers (or any nested structure)
• compute collisions on octree traversal, visiting only closest nodes by going up/down on the tree

1-revisited) If boxes are moving slowly (so you need to rebuild the adjacency list again in each new frame), then the method (1) gets a bit more tricky. With too small buffer zone, it needs re-computing on each frame, heavy computation. With too big buffer zone, it needs to maintain bigger collision lists with extra filtering to get real collisions.

2-revisited) If environment is infinitely periodic (like simulating Neo trapped in train station in the Matrix), then you can use grid of cells again, but this time using the wrapped-around borders as extra checking for collisions.

For all of methods (except first) above, you can accelerate the collision checking by first doing a spherical collision check (broad-collision-checking) to evade unnecessary box-collision-checks. (Spherical collision doesn't need square root since both sides have same computation, just squared sum of differences enough). This should give only linear speedup.

For method (2) with capped number of boxes per cell, you can use vectorization (SIMD) to further accelerate the checking. Again, this should give a linear speedup.

For all methods again, you can use multiple threads to accelerate some of their steps, for another a linear speedup.

Even without any methods above, the two for loops in the question could be modified to do tiled-computing, to stay in L1 cache for extra linear performance, then a second tiling but in registers (SSE/AVX) to have peak computing performance during the brute force time complexity. For low number of boxes, this can run faster than those acceleration structures and its simple:

Plus and minus are valid parts of an integer and so are read, when the next character is read the stream fails and that character is left in the stream but the leading sign character is not put back into the stream.

See https://en.cppreference.com/w/cpp/locale/num_get/get for the full rules

The short answer is use applyCss():

What I've done here is remove the borders from the table and collapsed the space for them.

I've then used more semantic elements for both table headings and your actual content with semantic class names. This included adding a new element for the elements you want at the bottom of the cell. Finally, the teacher and codes are floated left and right respectively.

You can do like this

My coworker found out a solution to have specific handleChange behavior equal to the handlePaste behavior when e.target.value.length is equal to the codeLength (indicating a paste from gBoard in this instance). Hope this helps anyone else who may run into this issue.

I replace those two fields with images and its working fine now, I treat them like moving an image not field.

Thanks for your time.

Your usage of computed property is wrong.

You have to bind the computed property status, to each objects inside paints array.

The best option for this one will be creating a seperate component to display the status.

I have refered to this answer for your solution implementation.

Logic

Create a component StatusComponent inside HelloWorld component and pass box, paint and matchingdata as props to it.

So your HelloWorld.vue component will be as below.

template