Number Pyramid 3
Journey down the Number Nile and deduce the structure of Number Pyramid 3.
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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 3?

  1. The three numbers in the 3rd row sum to 12.
  2. The leftmost and rightmost numbers in the 4th row add up to 10; the middle two numbers of that row also add up to 10, with the smaller of the two to the left of the greater.
  3. In the 2nd row, the number on the right minus the number on the left equals 3.
  4. The leftmost number of row 4 less the leftmost number of row 3 leaves 3.
  5. The sum of the rightmost numbers in rows 2, 3, and 4 minus the sum of the leftmost numbers in those rows equals 3.