A cubical LC circuit
As stated, the answer is unknowable if the DC components of the voltages (and therefor of the capacitor energies) are desired. The circuit can be redrawn as







simulate this circuit &ndash; Schematic created using CircuitLab

At DC, the impedance of the inductors is zero, and the output of the sine wave generator is zero, so the circuit becomes







simulate this circuit

Consequently, the voltages V1/V2 and V3/V4 can be any values at all, and the voltages across the capacitors are (in absolute terms) impossible to determine. Even if you assume that the sine generator has some non-zero voltage at DC, the values of V1/V2 and V3/V4 can still be anything at all.

Note that you cannot assume that V1/V2 and V3/V4 are zero. There is nothing presented so far that allows that assumption (or conclusion, take your pick).