Really nice puzzles for one of my favourite kind of logic based games.
So while not really original, i did enjoy it the new puzzles and interactivity.
However here some advices.
-An Undo button.
-A pause button(if you want, you could hide the game while it is paused to avoid cheating the time clock)
-And as an extension of the pause, maybe if you click somewhere outside the game(like if you click on another browser to look on a website or watch a video) that it automatically pauses the game(to avoid the counter going up, even though you're not even playing)
-That the "clear" button reverts the counter to Zero. The player at the moment can justaswell just go "previous" and "next" again to clear everything, but it could be easier with "clear"
-That if a number is being shined on by too many suns that it will notice the player, like the number turning red, otherwise you might finish a level, just to realize you made some mistake and has to painstakily find the mistake. But it's good that at least the suns themselve notice when they shine on each other.
-Better graphics. NOW, i know this is just "2.0" in other words you see yourself improving it one day, but right now it looks to stale. Find inspiration at other games to know where you could go with graphics.
I think that's about it. Don't see it as critic, because the game is good as it is, but just advices for a possible 3.0

Also i must say to the poster below: You gave it a bad rating because you couldn't figure out how the game works?!! I would understand if your complain is that the tutorial/explanation is too hard to understand or missing, but that's just one complain, that doesn't justify such a bad score.

Cute game, still; I didn`t really understand how to play it.

This game is absolutely excellent. I can usually think of something that's really wrong with a game, but the core game here is just perfect as far as I can tell.

The few minor things that I can point out are that the "Hint" button should probably be relabeled "Check" and the music -- which is cool and perfect for this sort of game -- seems to not loop perfectly, which can actually detract from the gameplay experience when you are trying to focus. Also, the clock should change to something other than "XX:XX" after 100 minutes... although none of these puzzle should take that long, since there isn't a pause button, I could see a casual player leaving the game running while they do something else and come back and finish only to realize that the menu screen still looks as if they never beat that level, so they'll always have to remember (I suggest changing it to "99:99").

Other than that, this is extremely solid puzzle design in a similar vein to nonograms and sudoku. I have never seen puzzles like this before, so if this is your original idea, you should feel very proud, and even consider shopping it around to iPad app producers or even make it into one yourself (though it would need a lot more polish than this to be viable in that market). This has the potential to be as popular as nonograms and sudoku, and can equivalently be done with just pen and paper, but unlike the other two requires less notes, and thus no erasing and probably would be better for a wider audience. Definitely very, very good.

The hint button is useless. It only tells me which number blocks still need to touch suns. It doesn't tell me anything about where to place the suns.

You can get lost but some time later the game becomes a lil bit more easier.