A, B, and C cooperated in a project, and worked 1/3 of the whole project in 4 days. During these 4 days, except C, A rested for 2 days, and B rested for 3 days. After that, the three cooperated to complete the project. A The efficiency of C is 3 times that of C, and the efficiency of B is 2 times that of C. How many days did you spend before and after the project?
甲、乙、丙合作一项工程，4天干了整个工程的(1/3)，这4天内，除丙外，甲又休息了2天，乙休息了3天，之后三人合作完成，甲的效率是丙的3倍，乙的效率是丙的2倍．问工程前后一共用了多少天？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 + 2 + 3</gadget>
<output>6</output>

<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">(1/6) / 4</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">2 + 3</gadget>
<output>5</output>

<gadget id="calculator">(1/3) * (1/24) * 5</gadget>
<output>5/72 = around 0.069444</output>

<gadget id="calculator">(1/3) * (1/24) * 3 * 3</gadget>
<output>1/8 = around 0.125</output>

<gadget id="calculator">(1/3) * (1/24) * 2 * 2</gadget>
<output>1/18 = around 0.055556</output>

<gadget id="calculator">1 - (1/3) - (5/72) - (1/8) - (1/18)</gadget>
<output>5/12 = around 0.416667</output>

<gadget id="calculator">(1/3) * (1/24)</gadget>
<output>1/72 = around 0.013889</output>

<gadget id="calculator">(1/3) * (1/24) * 2</gadget>
<output>1/36 = around 0.027778</output>

<gadget id="calculator">(1/3) * (1/24) * 3</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">(1/72) + (1/36) + (1/24)</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">(5/12) / (1/12)</gadget>
<output>5</output>

<gadget id="calculator">4 + 2 + 3 + 5</gadget>
<output>14</output>

<result>14</result>