Solution to a special-shaped sudoku

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TiiT 2018-06-07T20:48:14+03:00
There was a competition recently on Logicmastersindia.com where there was a special Sudoku puzzle that gave many people a headache. I will post the Sudoku puzzle here and in the following posts I will try to explain how to solve it logically. In the meantime, you can try it yourself.
Irregular1.jpg
TiiT 2018-06-17T17:49:49+03:00
The first step is easy. This is probably the only really easy place where it's not difficult to see how this sudoku is solved. It's possible to write the number 3 in one of the boxes.
Step 1.jpg
TiiT 2018-06-17T17:59:41+03:00
The next number can be placed in the 7th column of the 9th row - or R9C7 for short. I made it in the green box in the picture. Namely, only the number "2" can be placed there. - 1,6 and 9 cannot go there, because these numbers already exist in this column. - 4 and 5 cannot go there, because these numbers exist in the same box. - 3, 8 and 7 cannot go there, because they must be located in this area in the 9th column. These numbers are marked in the figure with a blue circle and a small arrow shows where they must be located. So, only the number 2 remains to be placed in the green box. Using an exactly analogous trick, it is possible to get the number "9" R1C3.
Step 2.jpg
TiiT 2018-06-17T20:26:06+03:00
Next we need to look at the 9s. The important 9s have been converted into red boxes, leaving only 2 possible places in the middle area where the number 9 can be written. This in turn leaves only 2 possibilities in the rightmost box where the number 9 can be written. This 9 and the 6 in the top corner of the same box affect the U-shaped area at the bottom right, and determine where the 6 and 9 must go. What is unknown, however, is which one goes in which square. What is clear, however, is that these 2 squares are occupied by the numbers 6 and 9. Now the important thing in the figure is shown in green. In the U-shaped area at the bottom right, the number 1 can only be written in the 9th column, which results in the number "1" being written in square R5C8.
Step 3.jpg
TiiT 2018-06-17T20:34:11+03:00
Analogously to the previous step (3), R5C2 can be the number 8. First, observe the 2s in the red squares. Their effect creates 2 possible places for it in the middle area, which in turn leaves 2 possible places for the number 2 in the leftmost area. In the upper left inverted U-shaped area, therefore, 2 squares are reserved for the numbers 2 and 5, and this in turn leaves only one possible column for the number 8. This forces the number 8 to be written in the leftmost area.
Step 4.jpg
TiiT 2018-06-17T20:55:23+03:00
Next, we can pay attention to the number 3s. They are surrounded by red boxes in the picture. And then there are 2 U-shaped areas below, which are exactly 4 squares high. Since these two 3s are located on rows that overlap these U-shaped shapes, we therefore know in which rows the number 3s are located. and this can rule out in the leftmost shape that 3 could be placed in R7C1 (the square with the red cross). Consequently, 3 is located in R5C1
Step 5.jpg
poffic 2018-06-18T12:47:10+03:00
does it proceed automatically as you expect?
TiiT 2018-06-18T18:22:39+03:00
I don't expect it. Preparing things takes time and I'm doing it all the time.
TiiT 2018-06-18T20:44:58+03:00
Next, you will get the numbers 8 and 3 in the middle figure. The figure should be clear enough.
Step 6.jpg
TiiT 2018-06-18T20:47:16+03:00
Another easier No. "1" in the middle shape.
Step 7.jpg

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