There are 6 riddles for 50 people to guess, and there are 202 correct guesses. It is known that each person guesses at least 2 correctly, 5 people guess 2 correctly, 9 people guess 4 correctly, and 3 and 3 riddles correctly. There are as many people answering 5 riddles, how many people can guess all 6 riddles correctly?
有6个谜语让50人猜，猜对的共有202个，已知每人至少猜对2个，猜对2个的有5人，猜对4个的有9人，猜对3个和猜对5个的人数同样多，6个谜语全猜对的有多少人．
<gadget id="calculator">2 * 5</gadget>
<output>10</output>

<gadget id="calculator">4 * 9</gadget>
<output>36</output>

<gadget id="calculator">50 * 6</gadget>
<output>300</output>

<gadget id="calculator">5 * 6</gadget>
<output>30</output>

<gadget id="calculator">9 * 6</gadget>
<output>54</output>

<gadget id="calculator">300 - 30 - 54 - 202</gadget>
<output>14</output>

<gadget id="calculator">10 + 36 + 14</gadget>
<output>60</output>

<gadget id="calculator">2 * 6</gadget>
<output>12</output>

<gadget id="calculator">12 - 3 - 5</gadget>
<output>4</output>

<gadget id="calculator">60 / 4</gadget>
<output>15</output>

<gadget id="calculator">2 * 15</gadget>
<output>30</output>

<gadget id="calculator">36 - 30</gadget>
<output>6</output>

<result>6</result>