Arrange a series of numbers according to certain rules: (1/1), (1/2), (2/2), (1/3), (2/3), (3/3), (1/4) , (2/4), (3/4), (4/4)...(1/50), (2/50), (3/50)...(49/50), (50/50) these numbers What is the sum of ?
按一定规律排着一串数：(1/1)，(1/2)，(2/2)，(1/3)，(2/3)，(3/3)，(1/4)，(2/4)，(3/4)，(4/4)…(1/50)，(2/50)，(3/50)…(49/50)，(50/50)这些数的总和是多少？
<gadget id="calculator">1 / 1</gadget>
<output>1</output>

<gadget id="calculator">50 * 1</gadget>
<output>50</output>

<gadget id="calculator">50 - 1</gadget>
<output>49</output>

<gadget id="calculator">50 * 49</gadget>
<output>2_450</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">3 / 3</gadget>
<output>1</output>

<gadget id="calculator">(1/3) + (2/3) + 1</gadget>
<output>2</output>

<gadget id="calculator">2_450 / 2</gadget>
<output>1_225</output>

<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>

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

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

<gadget id="calculator">(1/4) + (1/2) + (3/4) + (-1)</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1_225 * (1/2)</gadget>
<output>1_225/2 = around 612.5</output>

<gadget id="calculator">50 + (1_225/2)</gadget>
<output>1_325/2 = around 662.5</output>

<result>1_325/2 = around 662.5</result>