Suppose a and b are two different natural numbers among the 2010 natural numbers from 1 to 2010, what is the maximum value of ((a+b)/(ab)).
设a、b是1～2010这2010个自然数中两个不同的自然数，则((a+b)/(a-b))的最大值是多少．
<gadget id="calculator">2_010 + 2_009</gadget>
<output>4_019</output>

<gadget id="calculator">2_010 - 2_009</gadget>
<output>1</output>

<gadget id="calculator">4_019 / 1</gadget>
<output>4_019</output>

<result>4_019</result>