Without reading the solution: wouldn’t this impossible zero resistance zero inductance ideal setup result in infinite frequency infinite magnitude oscillations?

Without reading the solution: wouldn’t this impossible zero resistance zero inductance ideal setup result in infinite frequency infinite magnitude oscillations? Add in some resistance and the missing energy goes into heat generated by the resistance on the way to equilibrium. Edit: also when I think about it there is a little bit of additional energy in the open switch which is itself a capacitor. Edit 2: for this circuit to stay the way it is in the initial state, wouldn’t the open switch need to have equal capacitance to the capacitors? Or some kind of voltage generating field applied across it that is removed when the switch is closed?