Each pipe shown on the left (A through I) connects to exactly one pipe on the right.
To hide the answer, I have put a curtain over the pipe crossings and grayed out the pipe colors on the right side.
When behind the curtain, each pipe travels straight to the leftmost side of its associated numbered gray pipe. In other words, the pipes have no bends or curves, other than the possible single bends just inside either side of the curtain.
Using the clues below, can you figure out where each pipe is connected? Note, there is only 1 possible solution.
- Pipe A crosses either 2,3,4,5, or 6 pipes.
- Pipe B crosses either 3,4,5, or 6 pipes.
- Pipe C crosses at least 2 pipes.
- Pipe D crosses at least 5 pipes.
- Pipe E crosses at least 6 pipes.
- Pipe F crosses at least 5 pipes.
- Pipe G crosses at most 4 pipes.
- Pipe H crosses at most 3 pipes.
- Pipe I crosses at most 4 pipes.
- There are at least 19 pipe crossings in total. *see bullet below
- Remember: When counting pipe crossings, be careful not to count each one twice. More specifically, if you add up Pipe A's crossings + Pipe B's crossings + ... + Pipe I's crossings, the sum you get will be double the actual total number of pipe crossings, since each crossing would be counted twice.
Answers can be in the form of
A-->1 B-->2 C-->3 D-->4 E-->5 F-->6 G-->7 H-->8 I-->9
Or, even better, assuming the left side is ordered A through I, just
If you solve this puzzle using only logic, and without using computer code, and then convince me of that using a detailed explanation, then I will award you 300 rep points, on top of the +10 up-vote and +15 for the accepted answer.
However, I doubt that it's feasible to solve without code, but I have been surprised many times before, so who knows.