All answers must contain the string
2023:
1. What is the smallest number written exactly with 7 digits?
2. What is the smallest integer using 11 digits i.e. all digits 0 to 9 and an extra digit 2?
3. Write down the smallest square s.t. each digit is present at least once.
4. Evaluate the quadruplet {a,b,c,d} of distinct non-negative integers, s.t. a*b+c+d=2023 and abcd is minimal.
The 1st solver is kindly requested to post at least 2 answers out of the set of four.
I think the "repaired" official solution is a bit garbled and needs to be re-"repaired".
I propose:
1. Smallest positive number: 0.002023
Smallest negative number -9992023
2. Smallest positive integer: 12023456789
Smallest negative integer: -98765420231
Note that, as required, -98765420231 contains exactly one 3 and one 1, unlike the "repaired" official solution.
Also, note that 0. is not an answer, because it does not include the string 2023.