Calculation: 1*(2/((1+2)))+(3/((1+2,1+2+3)))+(4/((1+2+3,1+2+3 +4)))+...+(100/((1+2+3+...+99,1+2+3+...+100))).
计算：1*(2/((1+2)))+(3/((1+2,1+2+3)))+(4/((1+2+3,1+2+3+4)))+…+(100/((1+2+3+…+99,1+2+3+…+100)))．
<gadget id="calculator">1 * 2</gadget>
<output>2</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">100 * 101</gadget>
<output>10_100</output>

<gadget id="calculator">1 / 10_100</gadget>
<output>1/10_100 = around 0.000099</output>

<gadget id="calculator">(1/2) - (1/10_100)</gadget>
<output>5_049/10_100 = around 0.499901</output>

<gadget id="calculator">4 * (5_049/10_100)</gadget>
<output>5_049/2_525 = around 1.999604</output>

<result>5_049/2_525 = around 1.999604</result>