Delete
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Delete: Solutions with explanations (picture-heavy!)
By Dohi64
There are several video guides showing what to do on all 50 levels, but none of them explain how or why. This guide has a lot of text and images, but will hopefully help you understand how the game works.

Feedback is appreciated, and if you're looking for similar games, check out this list of deduction-based puzzle games from Puzzle Lovers, a group and curator all about puzzle games and games with puzzles (I'm an admin there).
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Introduction
Delete is a game of deduction. Much like Hexcells and similar titles, including decent nonogram/picross games, you'll never have to guess, just pay attention to the number clues and their surroundings to figure out your next step.

There are several video guides showing what to do on all 50 levels, but none of them explain how or why, and I'm aware that this would also be better as a video series, talking over the solutions, but I cannot record gameplay, so walls of text and tons of screenshots will have to do, which I know won't appeal to many people, but can't really be helped. Some later levels are more complex, with many rotatable or movable parts, so the solutions below aren't the only right way, nor the best or most efficient, just one I found the most logical, using relatively few moves.

The guide was started on the spur of the moment because of this forum thread (and several similar ones before), so thanks to TheDeparted and others for the inspiration.
Level 1

The number in the top right corner shows how many yellow squares you have to turn red with the left mouse button to finish the level. As you keep marking squares, it will go down. Right click, on the other hand, discards squares that can't be part of the solution, but in turn provide useful information for the rest of the level. The 2 dots on the left show how many mistakes you can make before the puzzle resets. A mistake is when you press the right button where you should press left, and vice versa, but the game won't reveal what's under the square in either case.

The 3x3 shape on the left has 0 in the middle. It means there are no red squares around the 0. If you're uncertain which squares belong to a certain number press either mouse button on the number to see its affected area. This will really come in handy later, on more complex levels.

You can right click on all the yellow squares on the left to reveal further 0s, as none of them are part of the solution.

On the right, the 3x3 shape has an 8 in the middle, meaning all 8 squares around it have to be red, and since there are 8 red squares to be found and there are 8 squares left, you're good to go. Note that turning a square red decreases the number it belongs to, not just the number in the top right corner, so while the center square started out on 8, as you mark the cells around it, it will go down, eventually reaching 0, and that's where you're done with the first level. Like so:

Level 2

If you paid attention to what was going on before, this should be easy. All 4 yellow squares on the left have to be right clicked, as none of them are red, and if you left or right click on the other 0 on the right, you'll see which squares you have to discard with right click. 4 yellows left, there are 4 reds on the level, so your work is done, but just to be sure, click on the 4 first to see what it affects, then mark them with left click.

Of course, the quicker solution here is to ignore the 0s and go for the 4 first, but later on it will be important to discard as many squares as possible to narrow down the possibilities. Plus you have to mark every yellow square with left or right click to finish a level anyway, so might as well train yourself to discard what can be discarded first.

Level 3

This looks harder, as there are more squares than what the 0 covers. As you right click the 8 yellow squares around the 0 one by one, you'll see 1s and 2s popping up, but concentrate on the squares directly around the 0 for now, they all have to be discarded, no matter what you find under them. Click on the 0 in the middle if you're unsure what you have to right click on, then you'll see this:

4 yellow squares left, 4 red squares to find, so you're done, but let's analyze this further, just to make those basics sink in some more.

If you click on the 1 on the left (or right), it'll highlight a single yellow square that belongs to it, which you have to mark with a left click to turn it red. This will turn the counter in the top right from 4 to 3, the 1 to 0 because none of the squares around it need to be turned red anymore, and the neighboring 2 changes to 1, as one of the reds that belong to it has been found.

Now clicking on either 1s there will mark the same yellow square as part of the solution, so left click it, turning both 1s into 0, as that side of the level is done. Repeat this on the other side, and you're done.
Level 4

Click on any 0, note which yellow squares belong to it, and since none of those can be red, right click on them and you'll see this:

Same as level 3 from now on: 4 reds to find, 4 yellows left, clicking on any 1 tells you which one square has to be red in that area, and as you mark them, numbers will go down and you're done.
Level 5

This is where things start to get interesting, as you're not really in 2d anymore. First things first, click on the 0 to find out what you can discard:

Despite the 3d nature of the level, squares still belong to a number even if they're on a different side. This is very important to remember for later, though of course clicking the numbers will always be available.

Whenever you see a 0 with yellows around it, go ahead and discard the yellow squares that belong to it.

The 2 yellows on the right are trivial, as clicking on either 2s will mark both as parts of the solution, so left click on those:

Now you're left with 5 yellows, but only 4 of them are red. If you click any of the 2s in the middle, they'll highlight 3 squares each, which isn't really helping right now, but if you click on the 2s on both ends, they'll only highlight 2 each, as all the other squares belonging to them are already discarded. These 2+2 squares have to be red, leaving the one in the middle to be discarded, like so:
Level 6

As always, start with checking what the 0 and the newly-revealed 0s cover and discard them to end up with this:

Similarly to level 5, clicking on most 1s will highlight more than one yellow square, which is no good, and clicking on the 2 highlights 5, even worse. However, as you keep clicking the numbers, you'll realize that the 1 in the middle on the 'floor' (so not the walls) only highlights a single yellow square, because everything else around it is already discarded.

So mark that square with left click to turn the 1 to 0 and continue discarding yellows around newly-revealed 0s, like so:

The rest is a piece of cake, as you have 5 yellows left and 5 squares to turn to red, and clicking on any 1 only highlights 1 square, clicking 2 highlights 2 squares, 3 shows 3 squares and 4 shows 4 squares, so no matter what order you choose, you're done.
Level 7

Check what the 0 and the newly-revealed 0s cover and discard them to end up with this:

The 1 on the 'floor' on the right highlights only 1 yellow, the 2s on the floor next to the 0s both highlight the same 2 yellows, so those can be left clicked, revealing another zero, after which you should have this:

Kinda hard to explain shapes like this, but the 1 closest to the bottom right corner only highlights 1 yellow, and turning that into red will reveal another zero, like so:

The 1s in that corner only highlight one square, turning that to red will reveal another zero, after which you'll have this:

The two 1s on the left facing all the 0s highlight the same yellow square, marking that will create more zeroes, and you'll end up with this:

The two 1s next the 0s highlight only one square, that has to be red, which creates more 0s and squares to discard, and you'll end up with a single yellow square to turn red.
Level 8

Start with ruling out what the 0 tells you to end up with four 1s. Notice by clicking on all of them that only the one next to the 0 highlights only one yellow square, the rest aren't conclusive. So mark that with left click to get another 0, and by discarding the squares around it, you'll end up with this, the first actually tricky part and it's really important to understand for later (I added the letters to make the explanation easier to follow):

Each 1 can only have one yellow square in their area, but they're so close to each other that they overlap: click the first 1 and A and B get highlighted, the second 1 highlights A, B and C, the third 1 has B, C and D, and the fourth 1 has C, D and E.

Let's start on the left: A OR B (but not both!) has to be red to fulfill the criteria for the first 1, but notice that the second 1 also has A and B, plus C. This means that no matter if A or B is red, C can't be, because A or B fulfills not only the first, but also the second 1, so you can right click on C, which reveals another 1.

We still don't know if A or B is red, or if D or E is red, but one (and only one) of each pair has to be, so let's look at the third 1. It now highlights B and D, one of which also has to be red, but it's still not conclusive. This is where the newly-revealed 1 comes in: it highlights 5 yellow squares, including B and D, and we know that either B or D has to be red to fulfill the third 1, so you can discard the other three squares, one of which will be a 0, so you can deal with A and B easily and end up with this:

It's easy to find the next red from here by clicking the 1s and checking if any of them highlight only one square. They do, which leads to more 0s and some quick progress, until you end up here:

Both 2s only highlight the same two yellow squares, and turning them red turns the 1s into 0s for more easy progress. Another approach would be to start with the 1 on the left to mark the only square it highlights and go from there. The other 1 highlights more squares, which is of no use, of course. We're now very close to solving the level (added more letters for an easier explanation).

The bottom 1 and bottom 2 highlight too many squares, not useful yet, but the top 1 highlights only two (F and G) and only one of them can be red. The 2 highlights F, G and H, and we know F OR G (but not both!) has to be red, so we can mark H as red to fulfill the other half of the 2, like so:

We still don't know if F or G is the other red there, but notice in the corner that we're down to 2 remaining reds. So from the 6 yellow squares at the bottom, only a single one can be red, and it has to fulfill both 1s down there at the same time, which means you can discard everything they're highlighting, except where they overlap. This will leave you with the remaining red at the top and a 0 to help find the last red square by checking all the 1s and left clicking on the square that's highlighted on its own.
Level 9
Level 9

Clicking the 6 highlights all 8 squares around it, the 1 highlights 5 squares, but if you think about it, of those 5 only a single one can be red, and one of the 3 overlapping squares has to be red, because there are only five other squares around the 6. So all at once you can mark five reds aronund the 6 and discard two squares around the 1, like so:

Check the 0 and the other 0s appearing around it, and check the 1s too. The one on the right marks exactly one square, left click on that to end up with this:

Look at the 1s on the vertical side (or 'wall') and notice the 1 on the left highlights 4 squares, while the 1 on the right highlights 2. The red has to be one of the overlapping squares because either of them solves both 1s, so you can discard the other 2 squares highlighted by the 1 on the left.

The middle 1 on the horizontal side (or 'floor') highlights one square, mark that red and take care of the newly-created 0s.

Look at the 'wall' again, try the 1s and notice that the third from the right only highlights a single yellow on the wall, so mark that red, which will let you complete the rest of this area.

Look at the top, at the 2-1-1 part. The 1 on the right highlights two squares, the one on the left highlights three, but the red has to be one of the overlapping ones, so you can right click on the third to reveal a 3. Next, if you click the 2, you'll see that it only highlights two yellow squares, which both have to be red, like so:

And the rest is easy, take care of the 0s to finish the level.
Level 10 (Blue buttons)

Push the blue buttons, you know you want to. On this level, they move half of the level they're on closer to the other half, and they also stop the other half from moving while they're there, marked by the blue button graying out. Why is that a big deal, you ask? When you've had your fun, deal with the 0 and other 0s they create, to end up with this:

Now play with the buttons some more. Note that the numbers represent the current situation around them, not an absolute one, so e.g. there's 1 and 2 on the left side, indicating that there are 1 and 2 red squares in their vicinity, but if you click the left blue button, the 2 changes to a 1, because in that position there's only one red square in the area it highlights.

Experiment with the buttons again and click all the numbers in every position to make sure you understand how this mechanic works, then put both sides back to their original place (both buttons should be blue). You must've noticed that the 1 in the middle, above the 3, only highlights one yellow square, so left click on that, which creates another 0, deal with that as well.

Now look at the top and notice the 1 highlights two squares and the 2 highlights three. One and only one of the overlapping two will have to be red, we don't know which yet, but because of this the non-overlapping third square highlighted by the 2 has to be red as well, so mark that one.

From here you could go the easy way, press the blue buttons and discard more squares thanks to some 0s in their new location, but we're here to learn, so first let's look at the 2 and 1 next to the blue button on the right. Same as above, the 1 highlights three squares and the 2 highlights three squares as well, and there's a two-square overlap.

You can't be sure which of the three squares highlighted by the 1 is the red one, but it has to be one of the overlapping ones because if it's the third to the right, you'd have to discard the other two and it would only leave one square for the 2. Similarly, coming from the direction of the 2, both overlapping squares can't be red because of the 1, but one of them has to be, along with the leftmost outside the overlap. So mark the leftmost square highlighted by the 2 red and discard the rightmost square highlighted by the 1.

Can't do anything else in this position, so press the blue button on the left, deal with the 0s, then click the same button again to move the piece back to its original place. Next, click the other blue button and deal with the 0s there and leave the level as it is.

Examine all the numbers and note that you can mark 3 more reds, highlighted by 1s. One in the top left, the leftmost yellow in the top right, and the one to the right of the now gray button. These also create a few more 0s, deal with them, and also note the 1s above the gray button, those highlight yet another red.

Nothing else to be done, move the right panel back and go through the numbers again. You'll be able to mark 2 more reds, one on the left, highlighted by the 1s on the horizontal side, and another on the right, highlighted by the 1 above the blue button. The left one also creates some 0s, deal with those as well, ultimately finishing the left side, leaving 3 yellow squares, only 1 of which is red, according to the counter in the top right.

In the current position, you can't decide which one to mark red and moving the right panel does nothing to the numbers, so click the blue button on the left. The 1s on the left highlight a single square, that has to be red, the other has to be discarded. But wait, why didn't the level end?

Press the blue button to reveal the final yellow square that got hidden when you moved the panel, discard it, and now you're really done.
Level 11 (Arrows)

Another new mechanic: arrows. So far, numbers only highlighted squares around the numbers, though due to perspective changes, that wasn't always obvious at first, that's why it's important to always click on the numbers to see which squares they affect.

Arrows, however, highlight squares in the direction(s) they're pointing at. Click on all the numbers and note which squares they highlight. Another important thing is to keep an eye on the counter in the top right, which now tells us that there is only one red square on the entire level. It's a very easy level and you can almost immediately figure out where the red square is, but let's go step by step.

As always, start with the 0 and discard that entire line according to the highlight. Next, look at the other straight line with the 3 arrows. That 1 highlights all the yellow squares in 3 directions, but only one square from all of those can be red, not one per arrow/direction!

Another important thing to get familiar with is arrows pointing in the same direction and highlighting the same squares. That's why you can discard the 2+2 squares to the left and right of the 3-arrowed 1. The 3rd direction is highlighting the same squares as the 1 in the + sign, which means the red is somewhere there, so it can't be left or right of the 3-arrowed 1.

And of course the red has to be the overlapping yellow square in the middle to fulfill all three 1s.
Level 12

Note that there are regular numbers and numbers with arrows here. Otherwise it's an easy level, now that you know how arrows work, and plenty of 0s to get you started too.

Next, deal with the 1s that only highlight a single square, followed by the newly-created 0s.

And with 2 yellows left for 2 reds, you're done.
Level 13

As always, start with discarding what the 0s tell you to end up with this:

The first 2 with the arrows tells you that from the four squares it highlights, only two will be red altogether. Because of the 1 on the left we know that one (and only one) of the two it highlights on the left has to be red, so the third square highlighted on the right by the other 1 can't be red, as the one red on the left satisfies the requirements for both 1s there.

If you click the 2, you'll see it only highlights two squares, so that row can easily be finished, then further 0s dealt with. Note that the 0 with the arrows doesn't highlight the only yellow in the next row!

Click all the numbers and realize that the 2s highlight too many squares to be helpful, but to solve the 1s on both end, two of the four squares theyt highlight have to be red, one for the 1 on the left, one for the 1 on the right, and that will also solve the 2 with the arrows, so you can discard the rest of the row, but we still don't know what the deal is with the single yellow near the 0 with the arrows!

As luck would have it, the 5 highlights five squares, so mark those red and deal with the 0s next.

After clicking all the numbers again, you'll find that one of the 1s only highlights a single yellow square, which leads to a 2 highlighting the final two red squares, then a few more 0s and you're done.
Level 14

The first thing to notice here is arrows ignore spaces, as the 1 with the arrow doesn't only highlight the two squares in the same segment, but three more in the same line further away.

Also note that the 3 highlights four squares, but only one of the two in line with the 1 can be red, which means two things: the other two squares highlighted by the 3 have to be red, and the red square in the line highlighted by the 1 is one of the two also highlighted by the 3, so you can discard the other three squares highlighted by the 1, like so:

Deal with the 0 and a few more after, then find the 1 that only highlights a single yellow square, then more 0s and 1s that only highlight a single square, more 0s after that, until you reach this state:

Look at the middle next. The 1 highlights three squares, only one of those can be red, and the 2 highlights 3 squares, two of which overlap with the 1, so of those only one can be red, we don't know which yet, but it leaves the third square highlighted by the 2 a definite red, so mark it as such.

Now there's a two-square overlap between the two 1s, so one of those has to be red, therefore the third square, highlighted by only one of them, can't be. It turns out to be a 0, so deal with it and what comes after, including going through the numbers and finding a 1 that only highlights one square.

the 3 highlights five squares, the 2 highlights four squares, and all four overlap, so two of those four have to be red, we can't tell which yet, plus to fulfill the 3, the one only highlighted by the 3 compared to the 2 is definitely red. It also creates another 0, then there will be a 2 that only highlights two squares, more 0s, and finally we can decide which of the two squares at the bottom is red, as one of the new 1s will only highlight one of them.

Back on top, the 1 on the left only highlights one square, more 0s and that section is also done.

The final section (which could've been done earlier as well) isn't hard either, as the 1 highlights two squares, the 2 highlights the same two (meaning only one of those will be red), plus a third, which has to be red to complete the 2. This also completes the 1 with the arrow, leading to a 0, and the rest is trivial: find a 1 that only highlights one square, the final red, and you're done.
Level 15

Start with the 0, as always, then the new zero revealed by it.

Since the 1s are useless on their own, you'll have to deal with the 2s next, similar to what we did on Level 8, for example. The leftmost 2 highlights four squares, two of which have to be red. The second 2 highlights six squares, four of which overlap with the first 2, so the non-overlapping ones can be discarded, as the leftmost 2's reds will fulfill this 2 as well.

Notice that the 1 on the bottom highlights four squares and the 2 highlights five. Four overlap, so only one of them can be red, we'll find out which later, plus to fulfill the 2, the one square only covered by the 2, but not the 1 also has to be red. This creates a 0, which leads to more 0s.

The 1 on the left can be solved now, just like the 0 appearing after. Next, note that the 4 highlights five squares, but the 1 next to it overlaps with two of those, so only one can be red, don't know which yet, but we know that the other three highlighted by the 4 have to be. This will lead to yet more 0s and the solution to the left side.

The 1 with the arrow takes us back to the right side, creates more 0s, and checking the 1s will let you mark another red further down, followed by more 0s.

Click all the numbers to see which squares they affect, then focus on the right side. The rightmost 1 highlights two squares, the next 1 the same two and a third, which can't be red, as one of the other two has to be and that will solve both 1s. After that the 2s will only highlight 2 squares, creating 0s that lead to the final red square.
Level 16

Start with the 0 and the newly-revealed 0s, then learn that the leftmost 1 only highlights one square, and another 1 does the same, leading to this state.

If you look at the 1s, you'll notice three squares that are highlighted by both, so the one that's only highlighted by one of them can be discarded, leading to a 2 with arrows only highlighting two squares altogether, so that can be solved, along with the 0s coming after.

The 1 with the arrow only highlights one square, leading to more 0s, like so:

Click through the numbers and notice the 1 on the left without the arrow highlights two squares, and the 2 next to it the same two and another one. Like many times before, one (and only one) of the first two will have to be red to solve the 1, and the square only highlighted by the 2 has to be red to complement the other red and solve the 2.

More 0s and a 3 highlighting three squares are next, plus a 1 on the left highlighting only one square, resulting in another 0 and this:

Check the numbers again, one of the 1s only highlights a single square, creates further 0s and a 2 with an arrow highlighting only two squares, then another 0.

The top left 1 marks one square, but we can't be sure about the yellow square in the corner, and there's another 1 highlighting one square.

The 1 in the middle highlights two squares, the 1 next to it the same two and another, which can be discarded because their red will be one of the overlapping ones. The newly-revealed 2 highlights two squares, so we're done with that section, and according to the top right corner, there's one more red on the level, so the final yellow square at the top has to be red.
Level 17 (Blue arrow buttons)

New mechanic: blue arrow buttons that move sections of a level one square in the direction they're pointing. If the arrow turns gray, further movemente isn't possible, just like with the blue buttons before.

At the start you can't do much, as the 2 highlights three squares, so keep moving the movable sections and notice the 2 changing into 3 if you move the one on the right closer, which means the extra highlighted square has to be red. If you move it one more time, the number won't change, meaning the newly connected square can't be red.

The left movable part is still not helpful, we can only find out that one of the lower squares will be red, not sure which, so keep moving the one on the right and pay attention to the 3. If you move it back once, it won't change, so the newly-highlighted square can't be red.

If you move the right part back some more, you'll notice the number going from 3 to 2, meaning the square not highlighted anymore has to be red, and since the number doesn't decrease any more if you move it further, the one in the corner can't be red.

The 2 on the right movable piece seems pretty consistent, it only goes down when you move it all the way to the right, so the middle piece on the 'surface' has to be red, and since the number doesn't change anymore, no matter where you move it, the yellow square it highlights at the end to the right can't be red. And if you click the 1s while the right piece is still there, you'll also be able do discard another square, and from there finish the right movable piece.

If you move both pieces to the top, you can utilize the new 0s and clear the left movable piece too. With those 0s the 1 on the surface can be dealt with, and if you move the left piece all the way back, you can discard more squares with the 0s on the way. Check the 1s, one will only highlight a single square, mark that and discard what the newly-created 0 highlights.

Note that the leftmost 1 on the surface doesn't change no matter where the left movable piece is, meaning the overlapping square there can't be red, and the new 0 lets you discard the other square on the movable piece as well. Next, move the piece back all the way, notice the 0 changing into 1, mark that square red and deal with the 0.

Still on the left, the middle 1 highlights two squares, either of which will solve the 1 to its right that highlights three squares, so the non-overlapping square can't be red. It reveals a 0 with an arrow and plenty more 0s after.

Click through the numbers to survey the new situation. The 2 on the left only highlights two squares that have to be red, deal with the new 0s, then notice the 1 below the 0 with the arrow only highlighting one square, mark that red too.

Next, the 1 at the bottom highlights two squares, the 2 above three squares, so one of the overlapping ones will have to be red, and you can mark the non-overlapping red right now to fulfill the second red square for the 2.

As you can see, only 2 reds remain to be found. One has to be one of the squares at the bottom, highlighted by the 1s, the other one of the three squares on the surface, highlighted by other 1s, so you can discard the three squares on the side. Then all that's left is to click through the 1s to see which highlights only one square and deal with the 0s and the rest.
Level 18

Press the blue buttons to see what they do this time. Neat, huh? Might as well deal with the 0 after pressing the left button, then the new 0s, and finally the 1s that only highlight a single square to get this:

Press the button again, deal with the 0, the next 0 and the 1 after that. Then find the 1 that only highlights one square (or the 2 that highlights two) and deal with more 0s, including one with arrows. You can also find 2s on the left highlighting the same two squares that lead to another 0 and another 1 at the top leading to yet another 0.

Button time again, I'd recommend the one on the right. Find the 1 at the bottom highlighting one square, creating more 0s and another red square. Next, look at the 1-2-1 on the left: they cover the same three squares, so the top and bottom one has to be red and the one in the middle can't be. Now check the 2-2-1 on the right: the 1 highlights two squares, the 2 above it three squares, so mark the non-overlapping one red.

After pressing the button, you'll notice the 3 highlighting three squares, mark them red. Check the four 1s: of the three yellow squares two highlight the same two, the other two highlights all three, so the red has to be one of the overlapping ones, you can discard the third.

If you press the right button, you'll find a 0, which will lead to more 1s and 0s, like so, but we're not done yet.

Press the right button again, then the left, and deal with 0s and 1s highlighting single squares to solve the level.
Level 19 (Diagonal highlights)

New mechanic: diagonal highlights. Self-explanatory, instead of highlighting everything around a number, they only mark squares diagonally. Still needs some getting used to, so practice with the 4 and the 0, then do the following 0s, the 1 in the lower left corner and the 1 with the diagonal symbol, plus the new 0.

On the right the usual: the 1 highlights two, the 2 highlights three, the non-overlapping square has to be red. Notice how it doesn't affect the diagonal 1. Now on the left, the 1 highlights two squares, the other 1 three squares, so the non-overlapping can't be red.

Check the numbers, the 2 on the 'floor' only highlights two squares, mark them, more 0s, then a 1.

Check the numbers again, notice the two 1s on the left of the diagonal 1 highlighting two and three squares respectively, discard the non-overlapping one, which leaves only two highlighted squares for the 2 on the left, and the rest is trivial. (You can also start with the leftmost 1, which highlights three squares, making the yellow square on the left end a definite red to fulfill the other half of the 2, then go from there.)
Level 20

Tricky start: both the 3 and the 6 highlight seven squares, with four overlaps. If you think about it, maximum three of the overlapping ones can be red, otherwise the 3 fails, which means the three squares to the right of the 6 have to be red. Now the 3 that's left of it highlights the four overlapping squares, meaning the three to the left of the other 3 can't be red.

Check the numbers and remember that three of the four squares around the 3s have to be red and note that the 4 highlights five squares, three to the left, two overlapping with the 3s. If all three on the left of the 4 were red, those would fulfill both 2s, you'd have to discard everything else around them, including both squares to the right of the 4, not leaving enough room for the 3s, nor the 4 itself. This means that the two squares to the right of the 4 have to be red.

Two of the three squares on the left have to be red, and it can't be the middle one because that'd immediately fulfill both 1s and wouldn't leave another red for the 2, so mark the top and bottom and deal with the new 0s.

Look at the top: the 2 in the middle highlights three squares, two overlap with the 1. One of those will have to be red, the non-overlapping has to be the other red for the 2, so you can mark that and also discard the square highlighted by the 1 but not the 2, as it can't be red. Check the 1 on the side, it highlights a single square now, and marking that red creates another 0. Next is another 1 highlighting a single square, another 0, a diagonal 0 and 2s highlighting the same two squares.

There's another 0 in the middle and some quick progress by checking the numbers and discarding and marking obvious squares.

Then the usual: the 1 on the right highlights two squares, the 2 three squares, the non-overlapping has to be red, creates a 0 and a 1 highlighting one square, more 0s and you're done.
Level 21

The diagonal 3 is a good start, followed by a bunch of 0s. Remember that diagonal clues only apply diagonally, not everywhere around numbers.

Find the 1 in the middle highlighting only one square, then some more 0s nearby. Next, there's a 2 on the 'wall' highlighting only two squares, leading to yet more 0s.

At the bottom there's a 1, then another 1 highlighting only one square each, and one more 2 on the wall highlighting two squares. Next, note the 1 at the top highlighting three squares, only one of which can be red. If you click the 3, you'll see two squares overlapping, one will have to be red, and the other two that don't overlap with the 1 can be marked red right now, then deal with the newly-appearing 0s. You can also discard the square on the right, only highlighted by the 1 but not the former 3, which will clear up the top as well.

The diagonal 3 can be completed immediately, leading to more 0s, and if you click the 2 on the 'floor', you'll notice it only marks two squares, and that's that section done. Then back at the top, there's a 1 marking one square, completing that part as well.

4 squares left, hiding 3 reds. If you click all the 1s, you'll see them highlighting two squares each, but only one of each can be red, so the square in the corner has to be red. And since there are 2 reds left, marking the square highlighted by all the 1s would be foolish, as that alone would solve all of them, without leaving a room for the final red.
Level 22

Deal with the 0, another 0, the two diagonal 1s and another 1, each only highlighting a single square, then the 0s created by them, then the diagonal 1 on the right.

The 2 in the middle highlights only two squares, then more 0s, followed by a 1 around the middle only marking a single square. There's a 1 on the left and on the right marking only one square each as well.

Check the 1s, note one of them marking two cells, the one next to it three, so the non-overlapping can be discarded, as one of the other two will solve both. This will leave another 1 with a single highlighted square.

The same logic applies to the 1s on the left: the 1 on the wall highlights two squares, the 1 above it three squares, the non-overlapping can be discarded, which happens to be a 0, and the rest is trivial.
Level 23

Another 0 to kick things off, leading to some more, then there's a 1 next to the 4 highlighting a single square, then a bunch more 0s, and the 3s on the top marking the same three squares, plus the other 3 on the top, and a few more 1s further down marking only one square as well.

Look at the left. The 1 at the top highlights three squares, the 2 below it three squares, two of those overlap, so only one of those will be red, leaving the non-overlapping square highlighted by the 2 to be red. This creates another 0, follow up on that. Next, check the 1s at the bottom, same deal: non-overlapping can be discarded, it's a 0, etc.

The two 1s at the bottom can be dealt with based on the same logic, the discarded squares reveal two 4s, but let's deal with the 1 above them first, highlighting only one square. Marking that red creates more 0s and lets you solve the 3 that was a 4 just a few seconds before. More 0s and 1s follow if you keep checking the numbers, and you'll be almost done.

The rest should be second nature by now: the 1 on the left marks two squares, the 1 next to it three, discard the non-overlapping one, then solve the 1 on the right and the other 1 marking only one square each. 4 squares left and only 1 red to find, so it has to be the overlapping square, highlighted by both 1s.
Level 24

0 to start with again, then some more, then a 2 on the right highlighting two squares, then more 0s, including one with an arrow, taking us over to the other section.

So, on the left section the 1 highlights four squares, the 3 next to it five squares, and since three overlap, only one of those can be red, leaving the two non-overlapping squares marked by the 3 to be red, and the square only marked by the 1 to be discarded, revealing a 0, even more 0s, then some 1s only highlighting one square. You can also deal with the diagonal 2, more 0s and 1s, and we're done with this part of the level already.

Back on the right side, note the 3s and a square to discard, the one not highlighted by both, as the overlapping ones will solve them. The newly-revealed 1 with arrows is a great help, as it tells us that only one of the squares above the 3s can be red, but also that one of them has to be red, because there are only two more squares marked by them. So you can mark the two squares below the 3s red, then discard the other two squares highlighted in the other direction by the 1. What follows is a bunch of 0s and 1s highlighting single squares, leaving you with not much to figure out.

The usual method: the 1 on the right marks two squares, the 1 next to it the same plus another one, that can be discarded, as one of the other two will solve both. The newly-revealed 2 only marks two squares, and you're left with a 0 and a 1 to deal with.
Level 25

Ooh, a box! Press the blue button and deal with the diagonal 0, then keep pressing the button to realize the level has 3 states: closed, and sliced one way and the other, and of course numbers change according to what's currently around them.

Note the 3 in closed state marking four squares, then click the button to get the diagonal 0 back. The 3 changes into 2, highlighting three of the same squares and a new one, so you can go back to box state and mark the fourth square highlighted by the 3 as red.

If you keep changing back and forth, still looking at the former 3, now 2, you'll note it highlights three squares, and when a new square gets added in the diagonal 0 view, the number doesn't change, so that square can be discarded, and it happens to be a 0, so deal with that as well, and the 2 at the bottom highlighting two squares.

Back in box state there's a 0 to deal with, a 2 at the top, followed by another 0.

Press the button once to mark two squares red, highlighted by a 2, plus one at the top, highlighted by the 1.

Click the button twice to get the other sliced view and mark the middle square red thanks to the 1s, then there's another 0.

Click the button once, back in box state, the top 1 on the left highlights two squares, the 1 below three squares, so discard the non-overlapping one, which reveals a 2 that highlights two squares, so mark those red and deal with a new 0.

3 clicks on the button this time to get the view with the diagonal 0, then deal with the obvious 1s and 0s.

Get back to box form and note the 1 on top highlighting two squares, then go to the state with two diagonal 1s to see the 1 changing into 2, so the square highlighted by that number only in this view has to be red, which solves the left diagonal 1, so you can deal with its 0 form, get more 0s and a 2 highlighting two squares, which in turn solves the other diagonal 1 and one by one the rest of the level.
Level 26 (Cross highlights)

New mechanic: cross highlights. As demonstrated on the left, it highlights squares in the shape of a cross around the number. You can also deal with the 0s.

The rest should be trivial by now as well, just check the numbers and solve the 1s highlighting a single square, 2s highlighting two squares, plus 0s as they're getting created.
Level 27

Start with the 0, then go from there (another 0, cross 3, more 0s, the 1 at the bottom, the cross 1 in the middle, etc.) until you get this:

The 1s at the bottom and top can be dealt with, as one of each pair highlights two, the other three squares, so you can discard the non-overlapping squares near each pair. The top will be solved immediately with the help of a 0, and going down from there the rest shouldn't be a problem with 1s highlighting only a single square and creating more 0s, and finally 2s highlighting the same two squares.
Level 28

The cross 3 highlights four squares, but the 1 overlaps with two of them, only one of which can be red, so the other two cross 3 highlights have to be red, plus you can discard the non-overlapping squares highlighted by the 1, as one of the overlapping ones has to be the third for the 3 to be solved.

Next, deal with the 0s, 1s, etc. as usual.

And once again, the same old: the 1 at the top highlights two squares, the 1 below three, discard the non-overlapping one. The newly-revealed 1 highlights four squares, two of which overlap with the 1s on the right, and since one of those will solve all three 1s there, you can discard the two non-overlapping squares highlighted by the 1 in the middle, which basically solves the rest of the level with the newly-revealed 3s and a 0 to finish.
Level 29

Start with the 0, more 0s and the 1 highlighting only one square, even more 0s and another 1 highlighting a single square. Next, the 2 on the right highlighting two squares, and even more 0s and 1s, the usual, until you reach this position:

Look at the two 1s at the top, next to each other, above the 0 and a red square. The 1 on the right highlights two squares, either of which will solve both 1s, so the other squares highlighted by the 1 on the left can be discarded. This will nicely let you solve the left area and you can move towards the right without issues. You'll be left with a single yellow square, but since the red counter by then will be at zero, you can discard it to finish the level.
Level 30

Deal with the 0 and the newly-revealed cross 0, then the cross 1 and another 0.

The 1 highlights four squares, the 2 next to it three, two of which overlap, so only one of them will be red, and you can mark the non-overlapping square red now. The 2 will turn into 1, highlighting two squares that overlap with the rightmost 1, so the squares that are only highlighted by the 1 on the right can be discarded, leading to a 0 with an arrow and and a 2 highlighting two squares, creating some 0s and a 3 highlighting three squares and some more squares to solve, like so:

On the right the usual: the 1 highlights two squares, the 2 three, two overlap, so one of those will be red, and you can mark the non-overlapping one red now. A new 0 and a 1 highlighting one square are next. Check the 1s, note the lowest highlighting two squares that overlap with the 1 above it, so you can discard the other four squares that don't overlap. The 1 on the right only highlights one square, that can be marked as well, then some 0s and 1 to deal with, and you can solve the 2 in the middle as well, as it only highlights two squares.

The top is the usual: check the 1 and 2 near the far corner, mark the non-overlapping square highlighted by the 2 as red. Deal with the new 0s, the 1 with the arrow and even more new 0s, then back on top, solve the rest without problems.

At the bottom, the 2 highlights two squares, the diagonal 1 is now solvable as well, as is the rest.
Level 31

Start with the 0 and two more 0s that are revealed, plus do everything trivial (numbers highlighting the same number of squares and more 0s) to end up with this:

Check the two 1s at the bottom: one highlights three squares, the other the same three and another one that can be discarded. The 2s next to them are similar: one highlights three squares, those will fulfill both 2s, so the non-overlapping ones highlighted by the other 2 can be discarded as well, plus the squares highlighted by a few newly-revealed 0s.

The 1 at the bottom next to the 0s highlights one square, mark it red, then go through the numbers around there and also on the left and deal with the trivial stuff and you're almost finished.

The final few squares are the usual: check what overlaps, discard what can be discarded and done.
Level 32

Nothing can be done in the initial position, so press the blue button and deal with the 0.

Press the button again, check the numbers and do the trivial stuff, then note that the regular 1 highlights two squares, but since the other 1 has a cross, those two overlapping squares won't solve both.

Press the button again to get another 0 and do the cross 2 as well, which will lead to more trivialities if you go through the numbers, like so:

Button again, cross 0, then 1.

Button, cross 0, button again, cross 1, button yet again, 0s and a 1, and you should have this:

Button, 0 with an arrow, regular 1, cross 0, then 2.

Button a final time, deal with the trivialities and you're done.
Level 33 (Box rotation)

New mechanic: box rotation.The rotatable box has numbers on several sides, and a button to rotate it. Press it once to reveal a 0 and deal with it and what follows.

Press the button again, the 1 on it now only highlights a single square, mark it red, follow the prompts and you're done.
Level 34

Note the 'extra life' on the left, from now on you can make 3 mistakes without a level reset. Also note that the button rotates the column in the middle. Initially we can't do anything as the 1 highlights nine squares, but if you press the button, it will turn into 2, which means the new square has to be red. So we have a 1 again, but if you press the button again, it will turn into 2 again, so that new square also has to be red, and we're back at 1 once more.

Press the button again, the 1 doesn't change, so the yellow square on the column can be discarded, and fortunately it's a 0, leading to more 0s.

Press the button again for more 0s.

And one more time for even more 0s, and while we're here, let's deal with the 3 in the middle highlighting three squares

Button, 0 at the top and a bunch more after, then you can deal with some trivial 1s and 2s leading to more 0s as well.

Start at the bottom, discard the non-overlapping square and finish everything that's visible, but it's not done yet. Button, trivialities, button again, trivialities again, and now you're done.
Level 35

Note that the two buttons rotate the side panels. Press the left one and deal with the cross 0, then press it again and deal with the cross 1.

Right button, cross 1, which leads to a 0, another 0 and a diagonal 2, plus more trivial stuff.

If you press the left button, you can see the 1 highlighting four squares turning into 2, meaning one (and only one) of the two new squares has to be red, which will also serve as half of the 2 with the arrow, meaning the third square highlighted by the 2 with the arrow can be marked red right now.

We also know that one of the other two squares highlighted by the 2 has to be red as well, so the square not overlapping when you click on the 1 next to it can be discarded.

If you press the left button, the 2 will change into a 1, so the two squares 'above' can be discarded. Also, there's a 1 on the 'floor', next to the diagonal 0 and a red square (the corner of an L-shape of 1s) that highlights two squares. Either will also solve the 1 next to it (the bottom of the L-shape) that highlights five squares, so those three not overlapping can be discarded.

Press the right button, note the 1 on the panel highlighting four squares, then press the left button and note the 1 changing into 2, so that new square has to be red.

Right button, note the 2 on the left of the right panel highlighting three squares, one of which is on the left panel. Press the left button to see the 2 go up to 3, so one of those new squares on the left will be red, but in the meantime you can mark the two on the right as red. Then some 0s to take care of, 1 on the side, and the top of the right panel in the usual manner (check 1s, discard non-overlapping, get a 2 highlighting two squares and a 0).

Right button, 0 on top, another 0, a 1 highlighting only one square on the right panel, another 0, and at the bottom once again two 1s with two overlapping and one non-overlapping square, the latter of which can be discarded. There's also a 1 in the bottom right highlighting one square on the right panel, another 0 and a 1, plus following that trail some more trivialities, until you're here:

Note the 1 at the top of the left panel highlighting two squares and the 2 below it three squares, two of which overlap, so mark the non-overlapping one as red. More trivialities follow by checking the numbers there, then the 2 below the blue button for two more red squares and more easy markings to solve everything currently visible.

Left button, 0 on the right panel, diagonal 0 on the floor, so the 1 with the arrow can be solved, then another 0 and more obvious stuff by going through the numbers. Then you're left with a single yellow square and the red counter in the corner on zero, so discard the square and you're done.
Level 36

The blue button rotates the middle section connecting the two bigger parts. Press it twice to get a 0 and deal with it and more 0s.

Press the button once, diagonal 0 at the bottom, then press the button twice for another diagonal 0.

Button twice, the lower 1 on the rotatable part highlights one cell on the bottom and creates many 0s, a 1 around the middle of the 'floor' highlighting one square, more 0s, and another trivial 1 at the bottom. Also note the two 1s on the floor, one highlighting two squares, the other the same two and two more, so discard the non-overlapping ones. Another 0, a trivial 1, and yet another 0.

Button, cross 1, yet more 0s and trivialities on the left until you're done. And while we're here, note the 1s on the rotatable section. Two squares overlap, one of those will solve both, so the non-overlapping one can be discarded to reveal a 0.

Button, the newest 0 already comes in handy, then the 1 at the top of the rotatable part, next 0, then 2, 0, one of the cross 1s and regular 1s highlighting one square each, leading to more 0s. Button again, the lower 1 on the left panel will solve more of the rotatable part, then button twice more to finish off that section.

The 2 on the right highlights three squares, the 1 three as well, two of which overlap, so only one of those can be red, which means, as usual, that the non-overlapping square highlighted by the 2 can be marked red. And the square not overlapping between the two 1s can be discarded, revealing a 2 with arrows, but remember, it's two squares altogether, not two in each direction!

One of them has to be a square highlighted by the 1s, meaning there can only be a maximum of one red to the right of the 2 with the arrows, which in turn means the yellow square on the top, highlighted by the regular 2, has to be red. And now we know that there's one red square in each direction, highlighted by the 1s, so the bottom yellow highlighted by the 2 with the arrows can be discarded.

This leaves a 2 highlighting two squares, and some trivialities to deal with after, until you're done.
Level 37

The initial state is not much use, but if you press the left button three times, you'll end up with a diagonal 0 on the top. Press the left button again, then the right once to get a diagonal 2 highlighting two squares on the right, then press the right button again for a diagonal 0, and again for another diagonal 2.

Play around with the buttons if you want, a lot of numbers going up and down, then get back to the same position as on the screenshot above and note that there's a 1 on top of the right panel, highlighting five squares around it. Click the right button and see the 1 go up to 3 with two more squares highlighted on the left, above and below the diagonal 1, both of which have to be red.

Right button once, deal with the 0 and the 1 on top highlighting one square. Right button again for a bit more 0 action, then note the 1 and 2 on the bottom, it's the usual, mark as red the non-overlapping square highlighed by the 2. And if you press the right button 3 more times, you can discard another square, the one not overlapped by the two 1s on top.

Press the left button to see the 1 in the corner of the right panel turn to 2, highlighting two squares, mark them red. Then press the left button two more times to see the same number turn to 0 and deal with it. Right button once, there's a 1 only highlighting one square, creating a 0, and there are 1s in the middle highlighting just one square as well.

Right button once, deal with the 0 and more 0s revealed, then the two 1s at the bottom in the usual manner, by discarding the non-overlapping square. Right button again, 1 in the middle highlighting one square, followed by a 0, and a 2 to the right highlighting two squares and creating more 0s.

Right button again for more 0 action, then 1s highlighting single squares and creating 0s in turn, and more trivial 1s to finish what's visible on the right. Right button, 0 and 1s to finish what's visible on the right again, then one more right button for the same, and that's the right side completely done.

Time to finally play with the left button. Press it twice for a 1 highlighting one square, leading to a 0 and a cross 1, then press it again for a 0 in the middle and a 1 in the middle now only highlighting one square, creating a 0 and a 3 highlighting three squares and more 0s after. On the top, deal with the 1 and 2 in the usual manner (the non-overlapping has to be red).

Press the left button, deal with the 0 and 1s and more 0s, then a 2 highlighting two squares, then more 0s. Left button, more 0s and 1s until done, left button again and finish the level without any problems.
Level 38

This is gonna be fun, the arrows rotate the middle section in all sorts of directions. To make life easier, I'll refer to the arrows on the left as left and right, and the arrows on the right as up and down, and of course the following isn't the only right order, based on how you rotate the level.

So turn the cube left and deal with the 0s, then back to its original position and down to deal with another 0, then back to its original state to deal with the cross 1.

Down and notice the 1 on top highlighting six squares, down again and notice the 1 not changing but only highlighting three squares, so go up once and discard the other three and deal with the 0s and the 2 with the arrow as well, and the rest of that section becuase the 2 only marks two squares, and the rest is trivial.

You can also deal with the 1-2-1 on the top of the cube in the usual fashion (the 1 highlights two squares, so the third, non-overlapping square highlighted by the 2 has to be red), then there's a 1 highlighting one square, and another 0 to finish the top of the cube.

Down, do the 0 and the 1s with single highlights on the top of the cube, and also the vertical 1-2-1. Next, look at the 1-1 on top, both highlight two overlapping squares, one of which has to be red, so the non-overlapping third square by one of the 1s has to be discarded. It's a 2 with an arrow, which can also be solved immediately.

Down, one of the 2s on top highlights two squares, more 0s and 1s highlighting a single square, easy. Down again, and it shouldn't be a problem to solve everything with numbers highlighting the right amount of squares, then press left for the final side of the cube and follow the trivial clues to finish the cube.

If you look at the 1 on top of the left section, next to the 0, you'll see it highlights two squares, either of which will solve the 1 next to it as well, so the square highlighted only by the 1 in the middle but not by the other 1 can be discarded. Then you'll have a 1 highlighting one square and the usual trivialities, and to finish the level, you'll have to apply the same logic to the remaining three yellow squares and the 1s.
Level 39

Note the blue button on top expaning the two sides a bit, enabling the use of the other two buttons to rotate the single-square sections at the bottom. Like before, the following isn't the only right way to solve the level, just one I found convenient.

Press the left button once to reveal a cross 0, press it again for a solvable cross 1, and again for another solvable cross 1, and once more for the same. On the right, the cross 1 highlights three squares, but if you press the right button, it changes to 2, so the new square has to be red. Press the right button again for the same.

On the left, the 3 highlights four squares. Press the left button, same deal, but pressing it again turns the 3 to 2, so the new square can be discarded. Press the button again to do the same for the same reason, and you can solve the 2 at the bottom as well, creating a diagonal 0.

Press the button on top to discard another square on the left, thanks to the 0 at the bottom, then press the top button again and solve the 2 highlighting two squares.

Left button, diagonal 0, 1 highlighting one square, left button again, 1 highlighting a single square again. You can also mark one square red based on the 1 and 2 at the bottom left, then mark the two squares highlighted by the 2 red as well for more 0s, and another 0 in the middle. Then left button again and solve the 0 and 1, left button and one more 0.

Look at the 1-2-2 on the left. The middle 2 highlights three squares, two of which overlap with the 1, so only one of those can be red, meaning the non-overlapping one has to be red. The middle number (they're all 1s now) highlights two squares, either of which will solve the left 1 too, so the other two, non-overlapping squares on the left can be discarded. This gives us a 1 with one highlight and some 0s.

If you keep playing with the buttons, you'll notice that from the position in the previous picture, pressing the left button three times (four alternating 0s should be visible), then the top button, you'll have a 1 highlighting one square, then another 0.

Top button again to find a cross 0, then another, then a 2 in the middle highlighting two squares, then some more easy moves to finish the left and middle sections.

Top button, solve the 1 on the left, then another red square based on the 1-2 on the right (the non-overlapping one highlighted by the 2). You can also discard the non-overlapping square on top, highlighted by one of the 1s.

Top button, 0 at the bottom, 2 that highlights two squares, then another 0. Right button next, solve the 0s and 1s, then the 2 on the right and the 1 that just got created from the 3, plus the 1-1 near the middle. Then right button, 1, diagonal 1, 0, and a final right button for another 0, then 1 and the diagonal number. The rest should be easy, just check the numbers to finish the level.
Level 40

The two buttons on top (gonna call them left and right button) each rotate a 2x2x2 cube next to them, in one direction, while the third button (let's call it bottom button) moves the two 2x2x2 cubes at the bottom simultaneously. And we're back to 2 mistakes without a level reset.

Click the left button twice, for a cross 0, another 0 and a solvable cross 1. There's also a 2 (was 3 before the cross 1) and a 3 on the left that can be solved. Then look at the 2-1 on the right: the 1 highlights three squares, two of those overlap with the 2, but only one can be red, so the non-overlapping square highlighted by the 2 has to be red.

Next, you can discard the rightmost square only highlighted by one of the 1s, as either of the other two overlapping squares will solve both. The new 1 is immediately solvable, and leads to some 0s, like so:

Left button, cross 0, then the 1 next to it. Left button again, cross 1, then the newly-created 0 next to it, then 3 and 0. Left button again, 0 on top and 0 below. Left button twice, 1 on top and the 0 that follows. Left button three times, 1 on top, then 0.

Right button, cross 0, then the 1 next to it, then the 1 below that only highlights one square and creates another 0. Right button again, cross 1, 0, 3, 0.

Bottom button, 1 on the left, newly-created 0s next, then the 1 highlighting one square. Next, look at the 2-1 at the bottom: the 1 highlights three squares, two overlap with the 2, so the non-overlapping highlighted by the 2 has to be red, which also solves the cross 1 and creates another cross 0. Both 1s on the left are now solvable as well, leading to the completion of the left side. You can also discard a square based on the 1-1 at the bottom (the non-overlapping one).

Bottom button, cross 0. Check the 1-2, the non-overlapping square highlighted by the 2 has to be red, as usual, then you can discard the two non-overlapping squares highlighted by the bottom 1. Check the numbers to finish off the visible parts. Press the bottom button again and finish everything off by checking the numbers.
Level 41 (Double color)

New mechanic: double color. The level is half yellow, half blue, and numbers that belong to one will only highlight their own color, won't cross over to squares of the other color. So deal with the 0s according to the new rules, check each just in case, to familiarize yourself with the new world order, and also because it's sometimes a bit hard to tell colored numbers apart.

Now you have four yellow and four blue squares, let's call them A, B, C, D, and E, F, G, H. The first 1 on the left highlights A and B, the second A, B and C, the third B, C and D, but the fourth only C and D, because E is in blue territory.

Solving this should be easy by now: A or B will solve both the first and the second 1, so C can be discarded, which leaves the fourth 1 with only one yellow square. Notice how marking it red doesn't affect the 1s in the blue section! The rest of the yellow area is trivial, 0, then 1.

Do the same on the left: E or F will solve the first 1, so G can be discarded. The last 1 marks only one square, creates a 0, so you can mark the last square red.
Level 42

Big cube, two colors again, note that the yellow 0 is diagonal and the blue 0 is cross, and colored numbers still don't cross over to the other color. Start with the 0s, of course, then go from there.

Should be trivial right until the end, and when there's only one square left, look at the number in the top right corner and mark the square red.
Level 43

Note that we're back at 3 mistakes once again, and the darker numbers in the middle highlight both yellow and blue squares, then start with the 0, as always. Also note that the newly-revealed numbers are colored differently, though it's still not easy to tell them apart, and they only highlight their own color, just like in the previous level and the one before that.

Now look at the top: the blue 1 highlights four squares, the non-blue 2 next to it highlights three, two of which overlap, so the yellow square highlighted by the 2 has to be red, and the two blue squares only highlighted by the 1 can be discarded.

The new 0 only highlights one square in the blue section, but it's enough, as the 1s in the middle can be solved as well. There's more 0s and trivialities to take care of, just make sure to click all the numbers to double check which colors and squares they highlight. The top left 1-1 and the three blue squares can be dealt with in the usual manner: discard the non-overlapping one, and you're done with the top sections.

Let's look at the blue section in the middle: the two 3s have a four-square overlap, three of those will solve both, so the non-overlapping blue square in the corner can be discarded. It's a 0, which makes the rest trivial, and turns one of the neutral numbers to 0 as well.

If you look at the yellow middle bit, you'll notice that the 2 highlights all five squares, and the two 1s highlight two each, so one of each pair will have to be red, which will solve both 1s and consequently the 2 as well, so the fifth yellow square in the corner, not highlighted by either 1, can be discarded. It's a cross 0, so you're done here as well.

The bottom part is the usual: the 1 on the left highlights four squares, the 2 overlaps with two of them, so the non-overlapping yellow square highlighted by the 2 has to be red (it also creates a 0), and you can discard the two blue squares on the left that are only highlighted by the 1. Now deal with that newly-created 0 and finish the blue section.

Look at the number in the top right corner, it says we have 1 more red to find. The 1 highlights all five squares, that's no help, the 1 with the arrows highlights two squares, that's still not good enough on its own, but the red has to be one of these two squares, so you can discard the other three, and some of the new 1s will point you in the right direction.
Level 44

Note that all the starting numbers are neutral and highlight both yellow and blue squares, then start with the 0, which leads to another 0 and a 3 on the left highlighting three squares. Also note that the newly-revealed numbers aren't neutral, then deal with the diagonal 2 on the 'floor' as well, though it won't lead to further progress there yet.

Back on top, the blue 1-2-1 is the same as the previous level: either square highlighted by the 1s will count towards the 2 in the middle as well, so the corner square only highlighted by the 2 can be discarded, then the revealed cross 0 can be solved, as well as some other blue numbers, taking care of about half the blue area, just keep checking the numbers and solving obvious ones until you get here:

Back in the yellow area, the 1 on the right highlights two squares, the middle overlaps with two of those, so the third can be discarded to reveal a cross 1. The regular 1 on the left highlights two squares, both overlap with the cross 1's highlights, so the non-overlapping third square can be discarded. The new 1 highlights six squares, but they include the two on top that are highlighted by the 1s above it, so the non-overlapping four squares can be discarded as well.

If you check the 1s on top, you'll realize that one of the two squares to the right of the cross 1 will have to be red. Not sure which yet, but if you click the 2, you'll see that it highlights four squares: one (and only one) of the two on top will be red, so one (and only one) of the other two will have to be red as well. Now click on the 1 below the 2: it highlights five squares, but one of the squares that overlap with the 2 will solve the 1 as well, so the other three squares highlighted by it have to be discarded.

There's a 1 in the middle of the yellow area that now only highlights one square, marking it red creates some 0s and more easily solvable squares, leading to the quick completion of the yellow area.

The cross 2 in the middle can be solved now. Next, note the 1 with the arrows highlighting two squares in each direction, and that there are two 1s on the right 'wall' highlighting the same two squares, which also overlap with the 1 with the arrow. Since one of those two will have to be red, the two squares highlighted by the arrow in the other direction can be discarded. You can also solve the 1 at the bottom.

The cross 1 highlights two squares, the diagonal 1 next to it highlights the same two, plus another one, which you can discard, and that will solve the 1 with the arrow and create 0s and more easily solvable numbers, letting you finish the level without problems from here.
Level 45 (Scene rotation)

New mechanic: scene rotation, that is, the entire level can be rotated, both clockwise and counter-clockwise in this case. And since it's a simple level, we're back to 2 possible mistakes yet again.

Start with the cross 0, naturally, then work your way through the numbers until you're mostly done with what you can see. The remaining 1 highlights three squares, so one of those will be red, solving the 1 and half the 2, so the square only highlighted by the 2 has to be red. Next, you can discard the yellow on top because the red will be one of the overlapping squares, and you're done with this side.

Press either button to turn the scene and deal with the 0s and what follows. Finally, discard the square on the left because one of the overlapping squares highlighted by both 1s will have to be red, then a few more clicks and you're done.
Level 46

Start with the cross 0, but not much else to do right now, so rotate the level and deal with the diagonal 0 and further 0s too. There's also a 1 in the middle highlighting only one square, creating another 0 and another 1 with a single square highlighted. The 2 near the top (between the 3 and the 1) can also be solved, leading to another 0.

Note the 3 on top highlighting four squares, two of which overlap with the 1 next to it, meaning only one of those will be red, but the other two highlighted by the 3 can be marked red. This will let you discard the square above the 2 because one of the two squares highlighted by the former 3, now 1, will solve both 1s.

The newly-revealed 1 with arrows is really helpful, because as you know by now, 1 means 1 red altogether, not in each direction the arrow is pointing, and since one of the the two squares highlighted by the two 1s has to be red, the other direction the arrow points at can be discarded.

The 2-2-1 is the usual: the rightmost 1 highlights two squares, the 2 highlights the same two and another square, the latter of which can be marked red immediately, turning it into 1-1-1 for now.

Another thing to look at is the vertical 1-2-2 on the left, using the same logic: the 1 highlights three squares, the middle 2 also three, two of which overlap, so the non-overlapping one can be marked red, then after looking at the two 1s on top you can discard top highlighted square on top because either of the other two will solve both 1s. Deal with that 0 and some 1s, 2s and a 0 that follow logically to finish off this side for now.

We've been spreading over the other side of the level for a while, so time to check the situation there. Rotate the level, solve the diagonal 2 and five 0s that follow. You can also solve a 1 on the right, the 2s on top and 1s in the middle, plus the latter also creates a 0, two further solvable 1s to the right and a cross 0, followed by a diagonal 0 and a solvable 1 at the bottom. There's also a 2 in the middle highlighting only two squares.

Next, note the 2 and the two 1s on the 'floor'. The 2 highlights seven squares, but each 1 only two, one of which has to be red, and they all overlap with the 2's highlights, so the three squares not overlapping with the 1s can be discarded. Solve the 0 with the arrow and the 1 in the corner, then another 1 and a 0 after. The 3 is also solvable immediately, followed by more 0s and 1s and 0s, and this side is done.

Rotate the level, 0 on top, then some 1s and 0s solved easily, and almost done.

Deal with the 2 and 1s like before: by discarding squares only highlighted by the 2 and not by the 1s as well. And the rest is trivial: 2 with arrows and some 0s.
Level 47

We're back to 3 possible mistakes again, and have buttons too. The one on top rotates the top and bottom layers, the ones on both sides rotate a 3x3x2 area on each end at the same time, leaving the middle with the button alone. With all these possibilities, the following solution isn't the only one, just something I found logical with as few moves as possible.

That said, obviously start with the cross 0. Then press the top button and deal with the cross 0 again, press the button on the side twice and deal with the cross 0 yet again, followed by a diagonal 0. Press the top button again and solve the 5.

Press the side button and solve the cross 0 and the revealed cross 0, then both 2s next to them, then a couple of 1s, a few 0s and a diagonal 2 and more 0s and a 1 on top.

Top button, a bunch of 0s and a 1, then another 1 on the side, followed by a 0 and a few more trivial steps.

Side button, 2 on top, 0, then 1, then the 2 on the left, two 0s and a 2.

Side button, 0 on the right, solving that section step by step, then top button, the 2s on the right and some 0s. Check the two 1s on top, discard the non-overlapping one because either of the other two will solve both, then solve the 1, 0, 1, 0, and finally the 2.

Top button, 0, then play with the buttons and the rotator to discard the remaining yellow squares, as the red counter in the top is at zero.
Level 48

The top button rotates the top layer by 180 degrees, the bottom button rotates the bottom layer by 90 degrees, and of course the rotator spins the entire level around. One possible solution follows.

Start with the cross 0, rotate the level, another two cross 0s, rotate again, cross 1. Rotate top layer, 0, top layer again, 1. Note that either square highlighted by the rightmost 1 will solve both 1s, so the squares highlighted only by the other 1 can be discarded.

Rotate top layer, same 1-1 area, the non-overlapping third square can be discarded, letting you solve the 1 next to the 2, creating some 0s. Note the 1 in the middle highlighting two squares, and the cross 2 highlighting the same two, only one of which can be red, plus a third one, which can be marked red right now.

Rotate top layer again: the cross 1 highlights two squares, the 2 above the same two and third one, so the latter can be marked red, leading to another 0, and the 2-1 can be dealt with in the usual manner, by marking the non-overlapping square red for now.

Now rotate the full level, look at 2-1 on top and mark the non-overlapping square red. Next, the 1-1 on the right: discard the non-overlapping square, then solve the 2, a couple 0s and a 2. Rotate the bottom layer twice, solve the 2 at the bottom, then the 1 and a couple 0s.

Bottom layer again, 0, discard the non-overlapping square based on the 1-1 in the bottom right, solve the 2 and the 0. Bottom again, 1, then 0 and another 0, 3, 0, then the 1 in the corner highlighting one square, and so on until everything visible is solved.

Rotate the whole level, 0, followed by another 0. Bottom layer 3 times, and note the 1 at the bottom highlighting three squares. Check the 3, it highlights four squares, two overlap with the 1, so only one of those will be red, meaning the other two can be marked red now. Some 0s and 1s follow.

Bottom layer again and discard the non-overlapping square in the bottom left 1-1 area. Note the 1-1 in the middle highlighting the same two squares above the 2, which in turn highlights three squares. Since only one above the 2 can be red, the third has to be red, creating a 0 and solving the left corner and step by step everything that's currently visible. And with no reds left to find, rotate the bottom layer to find the final yellow square to discard.
Level 49

The button rotates the top layer by 90 degrees, the arrows rotate the full level by 90 degrees, so once again, one possible solution follows.

Start with the cross 0, then the solvable 2. Now rotate the top layer twice and solve the 0, then the 2 and the 0. Top layer twice more and check the 1-2: mark red the non-overlapping square highlighted by the 2, as usual, then check the 1-1 and discard the non-overlapping square.

Note the 1 in the corner highlighting three squares. Rotate the top to change it to 3, but it highlights five squares now. You'd think that the two new squares have to be red, but if you rotate the whole level back with the right button, you'll see that the 1 is now a 2 because of all the rotating, so we can't be sure of anything yet.

If you rotate the top again, the 2 will become 4, and if you rotate the whole level back again with the right button, it'll become 3, highlighting only 3 squares, that's what we need, so mark all three red, then deal with the 0s.

Keep checking the same number, which is now a 0: rotate the top layer, it becomes 3 and highlights four squares. Now rotate the whole level back with the right button and it becomes 1, highlighting two squares, so rotate the whole level back with the leftbutton and mark the other two squares red.

Deal with the 0 and note the 3 and 1: the former highlights four squares, two of which overlap with the latter, and only one of those will be red, so the two non-overlapping ones have to be red.

Rotate the top once, note the 2-1, as always: mark the non-overlapping square highlighted by the 2 as red, discard the non-overlapping square highlighted by the 1, then solve the 0 and the 1s. Next, rotate the whole level with the right button, solve the 0, followed by a few 1s.

Rotate the top layer, solve some 0s, then check all the numbers for some trivialities.

Top layer again, solve everything visible easily, top layer yet again, one more 0, then keep rotating the level and the top layer until you take care of everything else without an issue. If you end up with two 1s highlighting the same two squares and one of them has to be red, just rotate the top layer a bit.
Level 50

This is just for completeness' sake: click the blue button for some credits, then discard every yellow square, since there are no red ones here, according to the counter in the top right corner.

Congratulations, you've completed the game, unlocked all the achievements in the process, and hopefully learned more about the logic behind the puzzles to use in other similar games as well.
11 Comments
DeathHero® 5 Mar, 2024 @ 1:39pm 
THX :cupup:
Dohi64  [author] 7 May, 2023 @ 1:30pm 
or just don't do trial & error in a deductive puzzler that requires no guessing.
Pro Hunter 7 May, 2023 @ 1:24pm 
Use brain on 37-39 and 46-49. Monkey see monkey do and trial and error work fine for the rest.
dredonaut 11 Dec, 2020 @ 2:17pm 
Thank you so much, now I can do this on my own
Dohi64  [author] 24 Feb, 2020 @ 3:35am 
not much left then. my solution is just one possibility, keep pressing buttons and rotating, you'll notice the next move sooner or later.
Partenope 24 Feb, 2020 @ 3:06am 
wow from level 45 is getting real challenging, I stuck by 48, but dont want look for your solution yet
Dohi64  [author] 19 Feb, 2020 @ 5:35am 
thanks, glad you like it.
Partenope 19 Feb, 2020 @ 5:24am 
Thank you, great guide
Dohi64  [author] 30 Nov, 2019 @ 10:42am 
the guide is now complete, all 50 levels are done.
Genghis Pawn 17 Oct, 2019 @ 6:45pm 
Nice.