I am apple @_@

There are 44 types of boxes of apples\color{#D61F06}{\mathrm{apples}},

\bullet \quad boxes containing 4040 apples\color{#D61F06}{\mathrm{apples}},

\bullet \quad boxes containing 1616 apples\color{#D61F06}{\mathrm{apples}},

\bullet \quad boxes containing 5656 apples\color{#D61F06}{\mathrm{apples}},

\bullet \quad boxes containing 3232 apples\color{#D61F06}{\mathrm{apples}},

Then find the maximum number of apples\color{#D61F06}{\mathrm{apples}} less than 20142014 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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