Number game

Number game ：2 People count numbers alternately , from 1 Start , To 21 end , Count to 21 The winner . Each person should count at least 1 A digital , The maximum number per person per time 3 A digital .

Mythical conclusion ： Who counts first , Whoever wins .

Please give us the secret of game cracking , And further explore the following situations ：

（1） If from 1 Start , To 17 end , To 13 end ……？

（2） If from 1 Start , To 31 end ？

（3） If from 1 Start , To 21 end , But at least 2 A digital , You can count at most 5 A digital ？

（4） If someone counts to 21, Who lost , Other conditions remain the same , How to adjust the game script ？

 

Game script

The last number is 21, The maximum number that can be counted is 3, The minimum is 1, Then it will be left 5 When a digital , Whoever counts first wins . Master the first count 17, No matter how many digits the latter quote , Can win . Want to report 17, First report 1, Then make sure there are 4 One number, one round , To master 5,9,13 These numbers .

（1）17 end

According to the game script , First report 1, then 4 One number, one round , master 5,9,13 In the end 14,15,16,17 The latter shall report first , The one who reports first wins .

13 end

According to the game script , First report 1, then 4 One number, one round , master 5,9 In the end 10,11,12,13 The latter shall report first , The first to report wins .

（2）31 end

According to the game script , First report 1,2 then 4 One number, one round , master 6,10,14,18,22,26 In the end 27,28,29,30,31, The first to report wins .

（3） The maximum number that can be counted is 5, The minimum is 2, Then finally, we should ensure that the rest 6 or 7 A digital . To master 14 and 15.

（4） The last number is 21, The maximum number that can be counted is 3, The minimum is 1, Then it will be left 5 When a digital , Those who report back will win . The late reporter should ensure that 4,8,12,16 These numbers , Guarantee 4 One number, one round .