Let's speed up a little. I'm going to pick up and show a part of grid as less as possible from now.
Look at the second column. This column has been solved about halfway.
It may lead more solution. (2,4) is the clue of this column. 2 can be
Let's think about the second clue, 4, of this column.
4 solid blocks will be placed somewhere in the five undecided blocks. When you imagine two cases to place the solids, starting from the top and bottom of this blank area, there are three overlapping blocks. Please try it yourself to make sure if you're not following.
Now look at rows containing these newly decided blocks. Three blocks
have been decided, and the clues for the corresponding rows are (1,1),
(1,2,1), (2,2). The solids match with the first (left) clue of each
row---1, 1, 2. So these solids and next blanks will be decided.
Next, look at the top row. Following image shows only this line.
Let's think about the left 3 solids. There is already one solid at the second block from the left. Clearly this solid is a part of the left 3 solids. This means there are only two possibilities for this 3 as shown in the following images, when the blocks are pushed to the left of this line, and when the blocks start from the existing solid.
Reflecting this result to the whole grid, the top 1 of the third column (1,1,2) will be decided.
Keep your eyes on the column. Look at lower part of this line. You will find one solid and this block corresponds to the third clue of this line, 2. It needs one more block to satisfy the clue. Since the above block of the solid is already decided as blank, there is only one block left undecided below.
Isn't it fun when one solid yields another solution?
So, another solid has been decided in the bottom row. Let's see if it yields something.
The clue for this line is (6), which makes one block of consecutive solids. These facts fill in an undecided block between solids.
The overlapping block becomes another solid.
The following image shows the result of this consideration.
Look at the fourth column from the right. The clue for this column is
(2,1,1), and note the third clue, 1, has been decided. Therefore, the
block above it becomes blank.
The first clues of middle two columns are both 1. And they both have solids at the second blocks from the top.
Then, if they have solids above or below them, it will make blocks containing more than 1 solid. Do you get it?
Therefore, there must be blanks above and below these solids.
You have learned enough to solve the right part of the puzzle as practice. Please take a moment to check how and why the puzzle is solved as shown in orange.
Did you notice the result solids are almost symmetrical? It's not exactly symmetrical, so be careful.
You are almost there. It takes only some steps to finish up the puzzle
Continue to page 3 >>>