Number Pyramid 4
Can you Cheops your way through this Logic Puzzle to the arrangement of Number Pyramid 4?
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A Number Pyramid is composed of the 10 different numbers 0-9 with a top row of 1 number resting on a second row of 2 sitting on a third row of 3 supported by a bottom row of 4. For example, a Number Pyramid could be:

     0
    1 2
   3 4 5
  6 7 8 9


Given the clues below, can you determine the composition of Number Pyramid 4?

  1. The middle number in row 3 is less than at least two of the numbers in the bottom row of the Pyramid.
  2. The rightmost number in row 4 is greater than the number to its immediate left in the row.
  3. The difference between the higher and lower numbers in row 2 is 2.
  4. In row 4, subtracting the higher and the lower of the two leftmost numbers equals 3.
  5. The three numbers in row 3 sum to 20, as do the four numbers in row 4.
  6. The sum of the number in row 1 and the numbers leftmost in rows 2, 3, and 4 totals 9.