14.Strike out a hundred digits from the number $12345678910111213 \ldots 5960 \quad$ so that the resulting number is the largest possible.
14. The largest possible number should start with the maximum number of nines. We will "move" along the number from left to right, crossing out all digits except 9. We will cross out 27 digits: $12345678910111213141516171819 . . .5960$, 8 digits 19 digits

then 19 digits: $99 \underbrace{20212223242526272829 \ldots .5960}_{19 \text { digits }}$ and so on. Note that we "reach" the next nine by crossing out 19 digits. After two more steps, we will have crossed out 38 digits: 999995051525354555657585960. In the previous 15 steps, we crossed out 84 digits (we need to cross out 16 more digits), so we will not "reach" the next nine. The largest digit we can "reach" by crossing out 15 digits is 7. Then, by crossing out 5 more, we get the largest possible number: 99999785960.