Calculation: ((1+2)/2)*((1+2+3)/(2+3))*((1+2+3+4)/(2+3+4))*…* ((1+2+...+2001)/(2+3+...+2001)).
计算：((1+2)/2)*((1+2+3)/(2+3))*((1+2+3+4)/(2+3+4))*…*((1+2+…+2001)/(2+3+…+2001))．
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>

<gadget id="calculator">2_001 / 2_003</gadget>
<output>2_001/2_003 = around 0.999001</output>

<gadget id="calculator">(3/2) * 4 * (2_001/2_003)</gadget>
<output>12_006/2_003 = around 5.994009</output>

<result>12_006/2_003 = around 5.994009</result>