A black pocket contains 100 pairs of red chopsticks, 200 pairs of blue chopsticks, and 300 pairs of yellow chopsticks; how many chopsticks should you touch at least to ensure that you can touch chopsticks of three different colors.
一个黑口袋，里面放着100双红色筷子，200双蓝色筷子，300双黄色筷子；请问至少摸多少支，才能保证一定摸到三种不同颜色的筷子．
<gadget id="calculator">200 * 2</gadget>
<output>400</output>

<gadget id="calculator">300 * 2</gadget>
<output>600</output>

<gadget id="calculator">400 + 600 + 1</gadget>
<output>1_001</output>

<result>1_001</result>