Let \( f(x)\) be a quartic polynomial in the form \(ax^4+bx^3+cx^2+dx+e\) where

\[f(-7) = 4636 , f(-6) = 2504 , f(-5) = 1212. \]

Given that \(a, b,c , d\) and \(e\) are all positive integers less than 5. Evaluate the addition of the two 3-digit integers, \(\overline{abc}+\overline{cde}\).

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