Balance Loop: "No Numbers" by Murat Can Tonta | Pencil Puzzle July 21, 2026

[00:00:00]Hello, let's solve a balance loop puzzle. This is called no numbers by Murat Kasantana.

[00:00:04]I sourced this from GM Puzzles. There's a link in the description. So, we're drawing a single loop in the grid. There are no intersections. This would be an intersection. This would be an intersection.

[00:00:13]Basically, every cell has exactly two exits.

[00:00:16]Um if it's on the loop.

[00:00:19]So, we're drawing a loop somehow. Now, the loop has to touch every single circle. It could turn on the circle. It could go straight through, but it has to touch it.

[00:00:28]And the white cells are balanced. They have to have exactly the same length before the turn.

[00:00:36]So, two and two or one and one.

[00:00:39]Right?

[00:00:40]We could do one and one this way. Just before the turn, it's the same length on both sides. Black has to be unbalanced, so it's a different length before the turn.

[00:00:49]And that's it. Those are the rules. I'm going to get started, right? Now.

[00:00:53]All right, since these dots are on the loop and there's only one way in and one way out, we're going to have to do those corners.

[00:00:59]Um this white cell here has to be balanced. So, if this went down, this would go in and we'd have a little mini loop. So, that has to continue to there.

[00:01:06]Now, it'll hit this white cell.

[00:01:08]Which also has to be balanced.

[00:01:12]Okay, so let's say this white cell continued. If it continued here, we'd have to continue down here.

[00:01:17]Which would then force us to continue again because this has to be balanced now.

[00:01:21]And this will come out here. And then now this would have to turn in order to stay balanced.

[00:01:26]Which would mean this would turn for this white cell, but now this white cell's unbalanced. So, that's a contradiction. So, we don't enter this white cell. We turn here and then we have to turn here and then we have to go twice in order to keep this one balanced.

[00:01:40]Okay, well, this one's not going left and it's not going down. Left would be a dead end. Down would be a little mini loop. So, it's going to go right.

[00:01:47]And then this is a corner. It takes the corner. That's one length, so this has to be one length, which means we go down.

[00:01:56]Now, this black cell, this black circle, if it went up, it would be length one, right would be length one, and left would be length one.

[00:02:05]So, we have to avoid taking two of those, which means we have to go down twice in order to avoid that.

[00:02:11]Which means this go this doesn't go right. It's going to go down twice or left twice, or it could even be three if we took one more here.

[00:02:20]I don't think I can do more with that.

[00:02:25]So, what about this white cell? It's either down down twice and then turning some way, or it's right twice and then turning exactly down.

[00:02:38]Which means this turns.

[00:02:41]Which means this is two length. So, we'd go down two.

[00:02:51]Oh, this is a dead end.

[00:02:53]This can't go up, but it also can't go to left, so it'll only have one way out.

[00:02:56]That's no good. Okay.

[00:02:58]So, that's broken all the way from four smooth from this.

[00:03:02]Let's just double check. If it went right, I'm going to be really careful here.

[00:03:07]If it went right, we can't turn up, so we're going to turn down, and then this can't turn this can't continue any way except going right.

[00:03:16]And so, now this has to be this white cell has to go down two. It can't go left two. And then now we make this dead end that it would have to take. Okay.

[00:03:23]Yeah.

[00:03:24]That's definitely right.

[00:03:27]So, we're going to go two down.

[00:03:30]And then we have to turn, so we're not going to continue.

[00:03:33]This is a corner now.

[00:03:36]Um this continues down. It also continues down again.

[00:03:42]This can't go right. It would be one and one, so it goes down.

[00:03:46]This now has to continue and continue and continue. We can we we're trying to avoid making a loop.

[00:03:51]So, this continues here. It has to go exactly two and then turn.

[00:03:56]So, this continues.

[00:03:57]It's not going to turn down. That's a little mini loop. It's going to turn up.

[00:04:00]This has to continue again.

[00:04:04]Oh, this would balance the black dot if we continued again. So, we're going to turn.

[00:04:08]And then this turns.

[00:04:11]This can't go left, so it continues.

[00:04:16]That was a lot. Um this has to has to connect there. All right.

[00:04:20]What now?

[00:04:26]Um How about this white?

[00:04:29]If it went left, it would have to go two. Okay.

[00:04:32]If we went down, it would have to go three.

[00:04:35]And this is now like a little mini loop.

[00:04:37]Okay, that's no good. We're not going to do three. We're going to do two.

[00:04:40]Then turn here.

[00:04:43]This takes that guy. This has to turn for the white.

[00:04:46]It comes all the way down to this black.

[00:04:48]Then this black has to take the corner and then we finish.

[00:04:51]All right. Uh that wasn't as bad as I thought.

[00:04:54]That was pretty cool.

[00:04:55]Um there was a little bit of a look ahead around this white dot, but it wasn't too bad. I think a lot of it came down to this kind of dead end here.

[00:05:05]And now that got resolved.

[00:05:07]All right. Well, how'd you do?