# Haisu: Pink Rose

HAISU is a portmanteau of three Japanese words - 'hairu', to enter, 'su', number, and 'hausu', an English borrow word meaning house, of course.
Together, we get a meaning of 'enter number house', which I have roughly translated to English as 'Room Count'.

The rules are simple - draw a path from the O to the X, passing through every cell in the grid exactly once. The grid is divided into several rooms. When your path passes over a cell with the big number N, it must be the Nth time you have entered the room. If a room has a small number m in the top left corner, you must enter that room a total of m times. An example Haisu puzzle and its unique solution are shown below.

Hopefully this example puzzle clarifies the rules. Your actual challenge is this!

Only good way to enter 5 times I could find. Also must hit the 1 on first entrance.

Logical prolongation of lines that shouldn't touch each others.

The path coming from the entrance will be forced to take this path eventually.

Only way to hit the 3 on the 3rd entrance and respect the current flow of the lines.

Further deductions based on straight forward paths.

Some of my logical deductions were not so logical after all. Here is the result after some minor revisions.

• Nice! There is a purely logical solve path to the finish (which, interestingly, does things almost in reverse order to what you've done!), but you do present the correct answer :) Feb 25, 2017 at 14:20
• @TheGreatEscaper, could you explain how this answer works? It seems to me that this path enters the small-2 room 3 times. Feb 25, 2017 at 18:12
• @Passage oops, I hadn't noticed that. The intended answer doesn't do that. The general topology of stack readers solution matched mine so I didn't look closely enough at the details. This is not the correct answer. Feb 25, 2017 at 22:49
• @TheGreatEscaper My bad, just fixed it... I think. Feb 26, 2017 at 0:10
• @passage Stackreader has just corrected his answer to the correct one. This solution no longer has a logical pathway leading to the answer, but I'll leave it green ticked anyway. Feb 26, 2017 at 1:17