Transiting in Shanghai and Singapore

Hello,

I would like to go on a trip Canada-Shanghai-Singapore-Malaysia-Canada. I am planning to stay for 72 hours in Shanghai without a visa, and then for 96 hours in Singapore without an entry permit under a similar policy. Is it okay for me to benefit from the free transfer if I have ongoing tickets to Singapore and Malaysia, but do not have a Singapore entry permit?

Regards,
Olga