2 THE VMC DATA  
2.1 Selected tiles and PSF photometry  
2.2 Preparing the initial Hess diagrams  
2.3 Characterizing photometric errors and incompleteness  

3 THE SFH-RECOVERY METHOD  
3.1 General scheme  
3.2 Further culling of the CMDs  
3.3 The partial and total models  
3.4 Computing PMs with TRILEGAL  
3.5 The model likelihood  
3.6 Finding the best solutions  

4 RESULTS FOR ALL SUBREGIONS  
4.1 The SFH maps  
4.2 Consistency checks on the SFR(t)  
4.3 Correction to photometric zeropoints  
4.4 Extinction maps  
4.5 Distance maps  
4.6 Metallicity shifts  

5 DISCUSSION  
5.1 The LMC geometry  
5.2 Spatial comparison with the HZ09 SFR(t)  
5.3 The problem at very young ages  
5.4 Comparison with the HZ09 SFR(t) for a large area  
5.5 The total mass of stars ever formed  
5.6 Preliminary indications for dynamical models of the Magellanic System  

6 CONCLUSIONS