I programmed my computer to print the integers from 1 to 1 000 000. However, my printer was defective and printed a square instead of the numeral 1. For example, 2191 was printed as 29.
1. Immediately after the integer 100 (that is 00) had been printed
a) How many squares were printed altogether?
b) How many of the 100 integers was printed correctly? Explain.
2. How many of the 1 000 000 integers printed were printed correctly? Explain.
3. My printer normally prints 100 digits per second. Since it takes longer to print a square than a digit, in its defective state my printer took 2.13 seconds to print the first 100 integers.
How long did it take to print a square? Explain.