While not a screaming deal to Tokyo the long way (everyone knows the ow HEL fare has been around for a while), I found this Star Alliance fare quite interesting. This is the currently lowest published AC LH and LX P fare.
I say "or lower" because the published LH fare for PNCCA is $
2829 USD but I have not been able to find anything at that price.
Normal routing is one stop through your favorite *A hub YUL-FRA/MUC/ZRH-NRT.
https://www.google.com/travel/flight...LTXdRQc7surPq6
However, the fare rules allow for unlimited transfers which gives you weird routing like this:
YUL-MUC-KIX ITM-NRT
NRT-ICN-FRA-CDG-YUL
https://www.google.com/travel/flight...eRnLa3WuSAxdLA
Fare rules are too long to post but are attached.