score:5
In this case the point of entry is not important.
Important is only that your main destination (where you will be staying the longest) is as stated in your application.
In this case Switzerland (5 days), the others each 3 days.
You can enter/exit the Schengen Area from any country (in this case France).
Only when the main destination can not be determined, would the country of the port of entry to the Schengen Area be responsible for the issuing of the visa.
Sample:
then France, as country of the port of entry, should be chosen because no main destination can be determined based on length of stay in days.
Visa Code
Article 5 Member State competent for examining and deciding on an application
- The Member State competent for examining and deciding on an application for a uniform visa shall be:
(a) the Member State whose territory constitutes the sole destination of the visit(s);
(b) if the visit includes more than one destination, or if several separate visits are to be carried out within a period of two months, the Member State whose territory constitutes the main destination of the visit(s) in terms of the length of stay, counted in days, or the purpose of stay; or
(c) if no main destination can be determined, the Member State whose external border the applicant intends to cross in order to enter the territory of the Member States.