There are 1 numbers (1) that become 1 after 0 operations.
After the operation of 1, the number that becomes 1 is 1 (2) 2.
The number of 1 (4) 22 is changed into 1 after two operations.
There are two numbers (3,8) that become1:122,222 after three operations.
After four operations, there are three numbers (6,7,16) 2122,222, 1222.
After five operations, there are five numbers (12,5,14,32, 15) 22 122.
12222, 12 122,2 1222,22222,
……
It can be found that several operations are all numbers, and the ending cannot be "12" or "X 1". 1 must be preceded by 2 (such as 12 1222), and 2 can be preceded by 1. Any combination can be used.
After six operations, eight numbers become 1: 222 122, 122 122, 2 12 122.
12 1222,22 1222,2 12222,
122222,222222
After seven operations, the number that becomes 1 is131222122,222122,2122.
12 12 122,22 12 122,2 12 1222,
122 1222,222 1222,22 12222,
12 12222,2 122222, 1222222,
2222222
After eight operations, the number that becomes 1 is 2121222, 1222 122, 2222 122.
12 122 122,22 122 122,2 12 12 122,
122 12 122,222 12 122, 12 12 1222,
22 12 1222,2 122 1222, 1222 1222,
2222 1222, 122 12222,222 12222,
2 12 12222, 12 122222,22 122222,
2 1222222, 12222222,22222222
After nine operations, 34 numbers become121222122,22122,2122.
122222 122,222222 122,2 12 122 122,
122 122 122,222 122 122, 12 12 12 122,
22 12 12 122,2 122 12 122, 1222 12 122,
2222 12 122,2 12 12 1222, 122 12 1222,
222 12 1222, 12 122 1222,22 122 1222,
2 1222 1222, 12222 1222,22222 1222,
2 122 12222, 1222 12222,2222 12222,
12 12 12222,22 12 12222,2 12 122222,
122 122222,222 122222, 12 1222222,
22 1222222,2 12222222, 122222222,
222222222