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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.

  Submitted by Ady TZIDON    
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Solution: (Hide)
1. 12023456789.
2. Smallest positive number: 0.002023.
Smallest non-negative number: 0.
Smallest negative number: -98765432023.
3. 19420237856.
4. Many answers s.t. one of the a,b,c,d is zero and the other distinct numbers comply with the formula.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtsre: my erroneous solution @ All solversAdy TZIDON2022-12-31 03:11:27
Some Thoughts"Repaired" Official solution (spoiler)Steve Herman2022-12-30 18:52:40
re(2): solutionsCharlie2022-12-30 07:38:21
re: Part 2 (spoiler)Ady TZIDON2022-12-30 02:33:36
Part 2 (spoiler)Steve Herman2022-12-29 18:58:33
Part 1 (spoiler)Steve Herman2022-12-29 18:53:16
Hints/Tipsre: solutionsAdy TZIDON2022-12-29 05:15:45
SolutionsolutionsCharlie2022-12-28 08:51:38
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