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C-C is stronger. Assuming you meant electrostatic bonds, i.e. the bond between the two atoms. If you meant intermolecular bonds, then C-C is significantly weaker than C-N, but there are other things that influence that.
C-C is a covalent bond, which means that both carbon atoms share electrons such that their outermost shell is completely filled (with valence electrons).
C-N is an ionic bond, which means that electrons are transferred from one atom to the other one.
In the C-C covalent bond, intermolecular forces of attraction are weak, since all molecules are effectively electrically neutral, since no electrons are added or removed. (Which is why most simple covalent compounds are in aqueous form in room temperature) However, since both atoms are sharing electrons, it will take a lot (a lot) of energy to separate these two atoms.
In the C-N bond, all the ions are electrically charged. This means that all the atoms are in a lattice structure that causes everything to be in a fixed structure electrostatic interactions between them. This results in the melting point being high as it requires more a lot of heat energy to separate the two ions from each other.
Even so, the strength of the C-C bond (between the two C atoms) is stronger than that of the C-N bond as the C-C bond involves sharing of electrons which brings the two atoms close together.
In contrast, the C-N bond involves transfer of electrons, so the only force of attraction is the electrostatic bond between the positive ion and the negative ion.
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