To solve any Sudoku puzzle efficiently, start by identifying the 'golden cell'—the cell with the most constraints (most filled numbers in its row, column, or diagonal)—and use elimination logic to determine the missing number, then systematically apply this same approach to progressively fill the entire grid.
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Deep Dive
The secret Starting Point to solve ANY Puzzle 🧠#maths #education #ytAdded:
If you want to develop your child's mathematical thinking skills, Sudoku puzzles are a must. Let's look at a classic Sudoku problem. In this puzzle, we need to fill in the numbers 1 to 5 so that each row, each column, and each diagonal contains the numbers 1 to 5 without any repetition. Many students try putting one number on the left and another on the right, but still can't find the correct answer. For problems like this, we usually start from the area with the most numbers already filled in.
For example, look at this row. Four numbers have already been filled in, so there's only one spot left, right? We know that each row must contain 1, 2, 3, 4, and 5, just these five numbers. The ones already filled in are 2, 3, 4, and 5. If you check them in order, you can quickly figure out which number is missing. So, which number is missing? It must be one. So, you fill one in that spot. Next, where else can we look? For example, let's check this diagonal.
1, 2, 3, 4, so this spot should be five. So, where else can we look? How about this diagonal? Once we've checked all the diagonals, let's look at this column. In this column, we already have a three and a five, so the remaining three spots should be filled with one, two, and four. Let's first determine where the four can go. For example, can it go here? If we put it here, then this row would have two fours, right? That doesn't work.
Can it go here? If we put four here, then this row would have two fours, which doesn't work. So, four can only go here. Now, how do we determine where to put one and two? Let's first see if this spot can be a two. If we put a two here, then this row would have two twos, which also doesn't work. So, this must be a one, and this spot can only be a two.
All right, where else can we try? For example, this column, since it only has two numbers left, as you can see.
What numbers can I fill in these two spots? The numbers already filled in are three, five, and four. So, the two remaining spots need to be filled with one and two. Now, can we put a two here?
If we put a two here, look, There would be two twos in this row. So, this spot should be a one and this spot should be a two. Next, let's look at this diagonal. The diagonal already has one, two, and five. So, these two spots need to be filled with a four and a three.
Let me ask everyone, can this spot be a four?
If you put a four here, there would be two fours in this row. So, this spot must be a three. Then, following along this diagonal, doesn't that make this spot a four? We filled in quite a lot so far. Let's keep going.
Let's look at this row again. See, in this row, I've already filled in three, four, and five. So, what's left? Only one and two. Can we fill in this spot?
If you put a one here, there would be two ones in this column. So, this must be a two. Now, for this row, what about this spot?
Isn't it just a one? Now, let's see which other spots we can fill in. For example, let's look up at this row.
In this row with one, two, and four, what do I have left to fill? Three and five, right?
Can we put a three here? If we put a three, there would be two threes in this column. So, it has to be a five. Then, this spot must be a three. Some students might say, "Let me keep trying." Take a look. There's only one spot left in this column. What should go there?
Shouldn't it be a one? Right? Then, moving on, there's only one spot left in this row. What should go there? Isn't it a five? Let's keep going. For this column, there's only this spot left.
What should we fill in?
Fill in a three. And what about this spot? Shouldn't it be a five? There, we finished this problem.
I suggest everyone give this a like and save it to watch a few more times.
Otherwise, if you want to use such a useful method again, you might not be able to find it.
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