Does it qualify if u do LAX to Beijing to Hong Kong to Shanghai to LAX?

We were thinking of traveling from LAX to Beijing and do a stop over there for the 72 hour free visa and then on to Hong Kong. But then thinking of doing a lay over in Shanghai for a few days for the 144 free transit and then back to LAX. Would this qualify to do the 72 hour and 144 hour within a span of about a week and a half?