Scattered sudoku solution

Leído po 37 usuarios

TiiT 2018-07-18T22:27:37+03:00
At the last GP, one of the tasks was scattered sudoku, which gave 94 points (the most expensive task). I will try to show how it is possible to solve it logically, since I myself solved it beautifully logically during the competition. Rule: Like a special-shaped sudoku, but one shape is made into small boxes and they must also contain the numbers 1-9
Scattered.jpg
TiiT 2018-07-22T16:48:53+03:00
As a first step, it is possible to find quite a few number 9s in Sudoku. For this purpose, yellow boxes have been drawn around the 9s to make them more visible. First, it is possible to write "9" in the gray square in the last column, because it cannot be in any other empty square. Then, the variants where the number 9 can be are shown in red. The 9 in the second row can be in two possible squares. This leaves only one possibility to write the number 9 in the upper right area (R1C7). From there, you can write the number in the lower right area (R8C6), then (R6C5). Then it is possible to write the variants of the number 9 in the 4th column and finally find the number "9" in R2C3.
Step 1.jpg
TiiT 2018-07-22T17:16:39+03:00
Next, let's look at the number "7". The yellow boxes are drawn around it. These force the number 7 in the upper left area to the second column, which in turn forces the number "7" in the lower area to the third column. Now if we look at the top row (Row 1), then 3,5,6,7 are missing from this row. Only the number 5 can be written in the third box, because 3,6,7 cannot be there. 3 and 6 are already in this column, and we also learned that 7 is also excluded. PS! The number 3 is shown in blue, which is possible to solve.
Step 2.jpg
TiiT 2018-07-22T17:41:51+03:00
Next, we look at the number "5". Red shows the possible variants of the number 5 in the Y-shaped area. The variants shown in green give the possibility to write the number "5" R2C4 Yellow shows the possible positions of the numbers 7 and 8, which are helpful in finding the next number "5". Blue shows where in the column the number 5 is upside down in the Y-shaped area, and as a result the number "5" can be written R3C7
Step 3.jpg
TiiT 2018-07-22T20:19:15+03:00
Red crosses have been used to indicate all the squares in row 2 where the number "6" cannot be. It turns out that there is only one possible square where the number "6" can be. Then it is possible to write the number "8" in the same row. Green crosses have been used to indicate the places where the number "8" cannot be. Blue shows the number 5, because this is the only possible place in this area where the number 5 can be placed.
Step 4.jpg
TiiT 2018-07-22T20:33:45+03:00
Next, let's look at row 3 and where the number "7" can be there. It turns out that the only possible place to write the number "7" is R3C2. Red shows some candidates in different squares that help rule out the number "7" in row 3. Then, 8 and 3 can also be written in the same area (shown in green)
Step 5.jpg
TiiT 2018-07-22T20:42:37+03:00
Now look at the gray squares (scattered sudoku pieces). Only one of them can be written as the number "3", in the remaining squares the number "3" can be excluded from everywhere (shown in green). So R3C1 is "3". Then the same trick can be used with the number "8" (shown in blue). So R3C3 is "8".
Step 6.jpg
TiiT 2018-07-22T21:33:42+03:00
Next, you can solve the lower left area. First, the number "3" shown in red. Then the number "2" shown in green. And finally the numbers "1" and "4" shown in blue.
Step 7.jpg
TiiT 2018-07-22T21:45:33+03:00
Next, look at row no. 7. Yellow is a reminder of the variants 7 and 8 already shown above, which are in either square. In the 7th row, the 7th square can only contain the number "6", because 3, 5 and 7 cannot be there. Shown in red. In the 8th square of the same row, the 8th square can only contain the number "5", because 3 and 7 cannot be there. Shown in green. Then, in the 9th row, R9C6 goes the number "8", because this is the only place in that row where the number "8" can be. Shown in blue.
Step 8.jpg
TiiT 2018-07-22T21:54:09+03:00
For a change, a slightly easier solution. In the 8th row, it is possible to find the location of the number "5", since there is only 1 possibility for this. (shown in red). And then there is the number "4" (shown in green).
Step 9.jpg

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