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A quadruple gift for the N.Y. (Posted on 2022-12-28) Difficulty: 4 of 5
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.

See The Solution Submitted by Ady TZIDON    
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Some Thoughts re: my erroneous solution @ All solvers Comment 8 of 8 |
(In reply to "Repaired" Official solution (spoiler) by Steve Herman)

Steve et al

Thre is no way I can adjust my posted solution

Your 1 and 2. Remarks are correct and should be considered as part of the rectified solution
My 3 and 4 are  OK
0 was introduced  on purpose to find out how fast it will be discovered, call it red herring and complement yourself as a vigilant solver.

My mistakes, for which I sincerely apologize, were caused  by the late late hour of posting with no rigorous control.

  Posted by Ady TZIDON on 2022-12-31 03:11:27
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