I am apple @_@

There are \(4\) types of boxes of \(\color{Red}{\mathrm{apples}}\),

\(\bullet \quad\) boxes containing \(40\) \(\color{Red}{\mathrm{apples}}\),

\(\bullet \quad\) boxes containing \(16\) \(\color{Red}{\mathrm{apples}}\),

\(\bullet \quad\) boxes containing \(56\) \(\color{Red}{\mathrm{apples}}\),

\(\bullet \quad\) boxes containing \(32\) \(\color{Red}{\mathrm{apples}}\),

Then find the maximum number of \(\color{Red}{\mathrm{apples}}\) less than \(2014\) which can be given by giving some boxes of some of the types stated above.


Details and assumptions:-

You are allowed to give 0 boxes of a certain type(s), and thus, find the maximum number.


This problem is a part of the set Vegetable Combinatorics , try other problems too !

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