A dog can kill one or two cats in a few seconds. 3 cats can fight with a dog, and they cannot cause each other any losses. 4 cats can kill a dog in 5 minutes; 5 cats can kill a dog in 4 minutes; 6 cats can kill a dog in 3(1/3) minutes. When the number of cats exceeds 3, the number of cats is inversely proportional to the time to kill the dogs. Now 13 cats and 4 dogs meet, the cats make reasonable arrangements to kill all the dogs in the shortest time without losing a single cat. How many minutes is the shortest time.
1条狗几秒钟可以杀死1只或两只猫．3只猫可以与一条狗相持，且互相不能使对方有任何损失．4只猫5分钟可以杀死1条狗；5只猫4分钟可以杀死1条狗；6只猫3(1/3)分钟可以杀死1条狗．当猫的数量超过3只时，猫的数量与杀死狗的时间成反比．现在13只猫与4条狗相遇，猫合理安排，在最短的时间里杀死全部狗，且一只猫也不损失．最短的时间是多少分钟．
<gadget id="calculator">5 + 5</gadget>
<output>10</output>

<result>10</result>