There are 2004 grams of water in both bottles A and B. For the first time, pour (1/2) of bottle A into bottle B. For the second time, pour (1/3) of bottle B into bottle A. For the third time Pour (1/4) from bottle A into bottle B, and pour (1/5) from bottle B into bottle A for the fourth time... just poured 2003 times in total, how many grams are there in bottle A at this time water?
甲、乙两瓶中各有2004克水，第一次把甲瓶里的(1/2)倒入乙瓶，第二次把乙瓶的(1/3)倒入甲瓶，第三次把甲瓶里的(1/4)倒入乙瓶，第四次把乙瓶里的(1/5)倒入甲瓶…就这样一共倒了2003次，这时甲瓶内还有多少克水？
<gadget id="calculator">2_003 / 2_004</gadget>
<output>2_003/2_004 = around 0.999501</output>

<gadget id="calculator">2_004 * (2_003/2_004)</gadget>
<output>2_003</output>

<result>2_003</result>