Okay, today I am going to be teaching you how to play the game, Sudoku. It's a Japanese game and it's pretty simple. It's, kind of, like a crossword puzzle, only it's all numbers as you can see. You start out with certain amount of numbers and the object is to fill in all the blanks. Now get some friends that either didn't know about Sudoku or didn't know how to play it. So I am going to try and give you a tutorial on how it works.
This is an easy puzzle and first thing I want to point out is the rules. You see you have these blue squares and you have the white squares. Most of your boards won't look like this, it will just be all of the same color, but it's divided into nine grids like this and each grid contains the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9. This is the rule that you can use to make logical questions to figure out where the other numbers go. You also know that each row across and each row up and down have the same rule. They all have 1 through 9 and they cannot duplicate numbers.
So using these different rules, we are going to use different questions to figure out where the numbers go. Now some of them are really easy to figure out because there is no other possibility and I call these the givens because it's really easy and it's pretty much given to your like. Let's say, on this board we have the number 2. We have this row right here, it has already got a 2; this row has already got a 2; this row has already got a 2; and this row has already got a 2. So the only possible number left in this square for there be a 2 is right here in the middle, because everything else is already blocked out by 2s.
So if you see, like a 2 in one row and a 2 in another row, then you know the other row has to be -- if you have like too many numbers blocking that, then it's easy to figure out. Like -- let's look at this one. You got a 1 here and you got 1 here. So these two rows are blocked out by 1s. So in this square, the only place where 1 could be is right there, because it can't be this, this, this, or this.
Now that we have this one, we can look over here and we see this row and this row are full of 1s and this row has already got a 1. So the only place left is right here. It's the only possible explanation. Then you look over to this square, this row is full, this is row is full, this row is full. Only place left is right here.
So it's a fairly simple game, if you use those -- first you go through that -- do all the 1s, do all the 2s, do all the 3s, using the given easy ones and then you can go from there to get on to harder questions. Is there any more? Let's look around, let's see. Okay, it's got to be a 7 right there, because this row and this row is done, this row is done. Well, here has got to be a 7, over here has got to be a 7.
So once you start doing those like that, you soon get all of the 7s are already being placed because every square has one. We don't get the 8s, so here we have got a 8, 8, 8; 8, 8, nothing there, we can guarantee. It's got to be an 8 there, it's got to be an 8 there, it's got to be an 8 there, and that is all of the 8s. Let's see -- I think I have skipped around on the 1s and the 2s. So one, one, one, one; we placed all but still a few 1s are left to place.
We know this square's 1 is going to be either here or here because these two rows are taken. So figure out where this square's 1 is, we know where the other 1 is. We see we had a row here with a 1 and a row here with a 1. So the only place left is right here. That leaves this to be the 1 for this square. This puzzle is almost too easy for -- to make tutorials on it.
That's all the 1s and all the 2s. The 3s are -- so we have got this row, this row, and this one has been taken; so that's a 3. This row and this row has been taken, there is no 3s and these rows yet. Of course, this one and then this one have been taken, so this got to be a 3. It locks up that row, so that or that is a 3. Where are the 4s? There are only two 4s on the board, there is a not a lot of work there we can do.
Fives - there has got to be a 5 here because those two rows are taken. It's got to be a 5 here because those two rows are taken, and that's probably all we can do with that. We haven't done any 6s yet. 6, 6, 6, 6 there, 6, 6; either that or that is a 6. 7, 8, 9, we have already done; okay.
Now that we have used all the given, the easy ones up. Now we can look at rows and squares, like which one has the least left in it. Okay, we have got this square -- this white square, we have got a 1, 2, 3, 5, 7, 8, 9. We are missing a 4 and a 6. Okay, we see we have got a 6 in this row, so that can't be a 6. That has to be a 4 and that means the 6 is the only one left.
Now this row right here -- its everything completed, except a 3. So we know the 3 is got to be left there. Now that we know that that 3 is there, there is only two missing in this blue square. We have got a 1, 2, 3, we are missing a 4 and a 6. Of course, we got that 6 there, so that has to be a 4 and that has to be a 6. This row again has everything but a 3. So we know that's the 3. This row is full except for a 4. So we know that's a 4.
So we have got this whole rectangle right here filled in. Let's look at this row, we have got two missing. We are missing a 2 and a 9. We have already got a 9 there, so that's got to be a 2. it means that's got to be a 9. This square is missing everything, it's only missing a 6. So we have got a 6 in this row, 6 in this row, a 6 here or here. Okay, it's not going to help us completely yet. We know there is 6 here and 6 here, a 6 here or 6 here.
Oh! since we have filled in this 6, this one can't be a 6 now. So this has to be our 6. So if this is a 6, this can't be a 6 and this must be a 6. You get what I am saying, it's logical. This row has everything but a 5. This has got to be a 5. 1, 2, 3, 4, 5, 6, 7, it's only missing a 9. It's got to be a 9. Also, this row is missing just a 9. So --
Let's look at 4s, 4, 4. That row has a 4, so that has to be a 4. This row has everything but a 5, so I put a 5 there. This row has everything but a 2 and a 9. This row already has a 2, so that has to be the 9 and that to be the 2. This square has everything but a 2 and a 4. It's already got a 2 there, so that's going to be a 4 and that's got to be a 2. This row has everything but a 9, so that's got to be a 9. This row has everything but a 4, so that has to be a 4. This square has everything but a 5, so it's going to be a 5. This square has everything but a 2, 3, and a 5. We have got a 2 and a 3 in this row, so that's going to be the 5. That's leaves that being a 3 and that's being a 2, and that leaves this square with a 4, and that is all for that one.
That was too easy. Let's move on to a medium.
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