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formal charge indicates stability (0 is best unless there is a distinct negative/positive charge on the molecule) but I don't think there's a particular way we need to know to find the contribution of each resonance structure? just understand that all structures contribute to an overall average (which is the most stable) I think.
I think that if you draw a Lewis Structure for the molecule, you will see that the atom that forms a double or triple bond with the central atom is contributing more electrons than the atom that is forming a single bond with the central atom.
To see which resonance structure is more stable, just look their formal charges, the one closest to 0 will be the most stable. I am not sure what do you mean by which RS contributes more to the molecule, because the resonance structure is just the moving of electrons between different atoms of a molecule.
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